1 | MODULE zdfosm |
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2 | !!====================================================================== |
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3 | !! *** MODULE zdfosm *** |
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4 | !! Ocean physics: vertical mixing coefficient compute from the OSMOSIS |
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5 | !! turbulent closure parameterization |
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6 | !!===================================================================== |
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7 | !! History : NEMO 4.0 ! A. Grant, G. Nurser |
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8 | !! 15/03/2017 Changed calculation of pycnocline thickness in unstable conditions and stable conditions AG |
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9 | !! 15/03/2017 Calculation of pycnocline gradients for stable conditions changed. Pycnocline gradients now depend on stability of the OSBL. A.G |
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10 | !! 06/06/2017 (1) Checks on sign of buoyancy jump in calculation of OSBL depth. A.G. |
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11 | !! (2) Removed variable zbrad0, zbradh and zbradav since they are not used. |
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12 | !! (3) Approximate treatment for shear turbulence. |
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13 | !! Minimum values for zustar and zustke. |
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14 | !! Add velocity scale, zvstr, that tends to zustar for large Langmuir numbers. |
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15 | !! Limit maximum value for Langmuir number. |
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16 | !! Use zvstr in definition of stability parameter zhol. |
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17 | !! (4) Modified parametrization of entrainment flux, changing original coefficient 0.0485 for Langmuir contribution to 0.135 * zla |
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18 | !! (5) For stable boundary layer add factor that depends on length of timestep to 'slow' collapse and growth. Make sure buoyancy jump not negative. |
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19 | !! (6) For unstable conditions when growth is over multiple levels, limit change to maximum of one level per cycle through loop. |
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20 | !! (7) Change lower limits for loops that calculate OSBL averages from 1 to 2. Large gradients between levels 1 and 2 can cause problems. |
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21 | !! (8) Change upper limits from ibld-1 to ibld. |
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22 | !! (9) Calculation of pycnocline thickness in unstable conditions. Check added to ensure that buoyancy jump is positive before calculating Ri. |
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23 | !! (10) Thickness of interface layer at base of the stable OSBL set by Richardson number. Gives continuity in transition from unstable OSBL. |
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24 | !! (11) Checks that buoyancy jump is poitive when calculating pycnocline profiles. |
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25 | !! (12) Replace zwstrl with zvstr in calculation of eddy viscosity. |
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26 | !! 27/09/2017 (13) Calculate Stokes drift and Stokes penetration depth from wave information |
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27 | !! (14) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
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28 | !! 28/09/2017 (15) Calculation of Stokes drift moved into separate do-loops to allow for different options for the determining the Stokes drift to be added. |
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29 | !! (16) Calculation of Stokes drift from windspeed for PM spectrum (for testing, commented out) |
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30 | !! (17) Modification to Langmuir velocity scale to include effects due to the Stokes penetration depth (for testing, commented out) |
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31 | !! ??/??/2018 (18) Revision to code structure, selected using key_osmldpth1. Inline code moved into subroutines. Changes to physics made, |
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32 | !! (a) Pycnocline temperature and salinity profies changed for unstable layers |
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33 | !! (b) The stable OSBL depth parametrization changed. |
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34 | !! 16/05/2019 (19) Fox-Kemper parametrization of restratification through mixed layer eddies added to revised code. |
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35 | !! 23/05/19 (20) Old code where key_osmldpth1` is *not* set removed, together with the key key_osmldpth1 |
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36 | !! 4.2 ! 2021-05 (S. Mueller) Efficiency improvements, source-code clarity enhancements, and adaptation to tiling |
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37 | !!---------------------------------------------------------------------- |
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38 | |
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39 | !!---------------------------------------------------------------------- |
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40 | !! 'ln_zdfosm' OSMOSIS scheme |
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41 | !!---------------------------------------------------------------------- |
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42 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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43 | !! zdf_osm_vertical_average : compute vertical averages over boundary layers |
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44 | !! zdf_osm_velocity_rotation : rotate velocity components |
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45 | !! zdf_osm_velocity_rotation_2d : rotation of 2d fields |
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46 | !! zdf_osm_velocity_rotation_3d : rotation of 3d fields |
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47 | !! zdf_osm_osbl_state : determine the state of the OSBL |
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48 | !! zdf_osm_external_gradients : calculate gradients below the OSBL |
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49 | !! zdf_osm_calculate_dhdt : calculate rate of change of hbl |
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50 | !! zdf_osm_timestep_hbl : hbl timestep |
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51 | !! zdf_osm_pycnocline_thickness : calculate thickness of pycnocline |
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52 | !! zdf_osm_diffusivity_viscosity : compute eddy diffusivity and viscosity profiles |
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53 | !! zdf_osm_fgr_terms : compute flux-gradient relationship terms |
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54 | !! zdf_osm_pycnocline_buoyancy_profiles : calculate pycnocline buoyancy profiles |
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55 | !! zdf_osm_zmld_horizontal_gradients : calculate horizontal buoyancy gradients for use with Fox-Kemper parametrization |
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56 | !! zdf_osm_osbl_state_fk : determine state of OSBL and MLE layers |
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57 | !! zdf_osm_mle_parameters : timestep MLE depth and calculate MLE fluxes |
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58 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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59 | !! zdf_osm_alloc : memory allocation |
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60 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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61 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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62 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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63 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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64 | !! zdf_osm_iomput : iom_put wrapper that accepts arrays without halo |
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65 | !! zdf_osm_iomput_2d : iom_put wrapper for 2D fields |
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66 | !! zdf_osm_iomput_3d : iom_put wrapper for 3D fields |
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67 | !!---------------------------------------------------------------------- |
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68 | USE oce ! Ocean dynamics and active tracers |
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69 | ! ! Uses ww from previous time step (which is now wb) to calculate hbl |
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70 | USE dom_oce ! Ocean space and time domain |
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71 | USE zdf_oce ! Ocean vertical physics |
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72 | USE sbc_oce ! Surface boundary condition: ocean |
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73 | USE sbcwave ! Surface wave parameters |
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74 | USE phycst ! Physical constants |
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75 | USE eosbn2 ! Equation of state |
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76 | USE traqsr ! Details of solar radiation absorption |
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77 | USE zdfdrg, ONLY : rCdU_bot ! Bottom friction velocity |
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78 | USE zdfddm ! Double diffusion mixing (avs array) |
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79 | USE iom ! I/O library |
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80 | USE lib_mpp ! MPP library |
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81 | USE trd_oce ! Ocean trends definition |
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82 | USE trdtra ! Tracers trends |
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83 | USE in_out_manager ! I/O manager |
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84 | USE lbclnk ! Ocean lateral boundary conditions (or mpp link) |
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85 | USE prtctl ! Print control |
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86 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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87 | |
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88 | IMPLICIT NONE |
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89 | PRIVATE |
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90 | |
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91 | ! Public subroutines |
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92 | PUBLIC zdf_osm ! Routine called by step.F90 |
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93 | PUBLIC zdf_osm_init ! Routine called by nemogcm.F90 |
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94 | PUBLIC osm_rst ! Routine called by step.F90 |
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95 | PUBLIC tra_osm ! Routine called by step.F90 |
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96 | PUBLIC trc_osm ! Routine called by trcstp.F90 |
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97 | PUBLIC dyn_osm ! Routine called by step.F90 |
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98 | |
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99 | ! Public variables |
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100 | LOGICAL, PUBLIC :: ln_osm_mle !: Flag to activate the Mixed Layer Eddy (MLE) |
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101 | ! ! parameterisation, needed by tra_mle_init in |
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102 | ! ! tramle.F90 |
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103 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: Non-local u-momentum flux |
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104 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: Non-local v-momentum flux |
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105 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: Non-local temperature flux (gamma/<ws>o) |
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106 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: Non-local salinity flux (gamma/<ws>o) |
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107 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: Boundary layer depth |
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108 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml !: ML depth |
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109 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle !: Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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110 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle !: Zonal buoyancy gradient in ML |
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111 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle !: Meridional buoyancy gradient in ML |
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112 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof !: Level of base of MLE layer |
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113 | |
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114 | INTERFACE zdf_osm_velocity_rotation |
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115 | !!--------------------------------------------------------------------- |
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116 | !! *** INTERFACE zdf_velocity_rotation *** |
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117 | !!--------------------------------------------------------------------- |
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118 | MODULE PROCEDURE zdf_osm_velocity_rotation_2d |
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119 | MODULE PROCEDURE zdf_osm_velocity_rotation_3d |
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120 | END INTERFACE |
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121 | ! |
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122 | INTERFACE zdf_osm_iomput |
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123 | !!--------------------------------------------------------------------- |
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124 | !! *** INTERFACE zdf_osm_iomput *** |
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125 | !!--------------------------------------------------------------------- |
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126 | MODULE PROCEDURE zdf_osm_iomput_2d |
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127 | MODULE PROCEDURE zdf_osm_iomput_3d |
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128 | END INTERFACE |
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129 | |
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130 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean ! Averaging operator for avt |
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131 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! Depth of pycnocline |
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132 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! Inverse of the modified Coriolis parameter at t-pts |
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133 | ! Layer indices |
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134 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nbld ! Level of boundary layer base |
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135 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmld ! Level of mixed-layer depth (pycnocline top) |
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136 | ! Layer type |
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137 | INTEGER, ALLOCATABLE, SAVE, DIMENSION(:,:) :: n_ddh ! Type of shear layer |
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138 | ! ! n_ddh=0: active shear layer |
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139 | ! ! n_ddh=1: shear layer not active |
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140 | ! ! n_ddh=2: shear production low |
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141 | ! Layer flags |
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142 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_conv ! Unstable/stable bl |
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143 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_shear ! Shear layers |
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144 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_coup ! Coupling to bottom |
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145 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_pyc ! OSBL pycnocline present |
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146 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_flux ! Surface flux extends below OSBL into MLE layer |
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147 | LOGICAL, ALLOCATABLE, SAVE, DIMENSION(:,:) :: l_mle ! MLE layer increases in hickness. |
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148 | ! Scales |
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149 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swth0 ! Surface heat flux (Kinematic) |
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150 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sws0 ! Surface freshwater flux |
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151 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swb0 ! Surface buoyancy flux |
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152 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: suw0 ! Surface u-momentum flux |
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153 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustar ! Friction velocity |
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154 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: scos_wind ! Cos angle of surface stress |
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155 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ssin_wind ! Sin angle of surface stress |
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156 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swthav ! Heat flux - bl average |
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157 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swsav ! Freshwater flux - bl average |
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158 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swbav ! Buoyancy flux - bl average |
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159 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sustke ! Surface Stokes drift |
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160 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes ! Penetration depth of the Stokes drift |
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161 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrl ! Langmuir velocity scale |
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162 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: swstrc ! Convective velocity scale |
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163 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sla ! Trubulent Langmuir number |
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164 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: svstr ! Velocity scale that tends to sustar for large Langmuir number |
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165 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: shol ! Stability parameter for boundary layer |
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166 | ! Layer averages: BL |
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167 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_bl ! Temperature average |
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168 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_bl ! Salinity average |
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169 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_bl ! Velocity average (u) |
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170 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_bl ! Velocity average (v) |
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171 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_bl ! Buoyancy average |
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172 | ! Difference between layer average and parameter at the base of the layer: BL |
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173 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dt_bl ! Temperature difference |
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174 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_ds_bl ! Salinity difference |
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175 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_du_bl ! Velocity difference (u) |
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176 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dv_bl ! Velocity difference (v) |
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177 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_db_bl ! Buoyancy difference |
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178 | ! Layer averages: ML |
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179 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_ml ! Temperature average |
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180 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_ml ! Salinity average |
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181 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_ml ! Velocity average (u) |
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182 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_ml ! Velocity average (v) |
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183 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_ml ! Buoyancy average |
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184 | ! Difference between layer average and parameter at the base of the layer: ML |
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185 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dt_ml ! Temperature difference |
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186 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_ds_ml ! Salinity difference |
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187 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_du_ml ! Velocity difference (u) |
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188 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_dv_ml ! Velocity difference (v) |
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189 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_db_ml ! Buoyancy difference |
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190 | ! Layer averages: MLE |
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191 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_t_mle ! Temperature average |
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192 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_s_mle ! Salinity average |
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193 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_u_mle ! Velocity average (u) |
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194 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_v_mle ! Velocity average (v) |
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195 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: av_b_mle ! Buoyancy average |
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196 | ! Diagnostic output |
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197 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:) :: osmdia2d ! Auxiliary array for diagnostic output |
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198 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: osmdia3d ! Auxiliary array for diagnostic output |
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199 | LOGICAL :: ln_dia_pyc_scl = .FALSE. ! Output of pycnocline scalar-gradient profiles |
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200 | LOGICAL :: ln_dia_pyc_shr = .FALSE. ! Output of pycnocline velocity-shear profiles |
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201 | |
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202 | ! !!* namelist namzdf_osm * |
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203 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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204 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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205 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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206 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0_wp ! Factor to reduce Stokes drift by |
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207 | REAL(wp) :: rn_osm_hblfrac = 0.1_wp ! For nn_osm_wave = 3/4 specify fraction in top of hbl |
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208 | LOGICAL :: ln_zdfosm_ice_shelter ! Flag to activate ice sheltering |
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209 | REAL(wp) :: rn_osm_hbl0 = 10.0_wp ! Initial value of hbl for 1D runs |
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210 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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211 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into |
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212 | ! ! sbcwave |
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213 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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214 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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215 | LOGICAL :: ln_kpprimix = .TRUE. ! Shear instability mixing |
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216 | REAL(wp) :: rn_riinfty = 0.7_wp ! Local Richardson Number limit for shear instability |
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217 | REAL(wp) :: rn_difri = 0.005_wp ! Maximum shear mixing at Rig = 0 (m2/s) |
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218 | LOGICAL :: ln_convmix = .TRUE. ! Convective instability mixing |
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219 | REAL(wp) :: rn_difconv = 1.0_wp ! Diffusivity when unstable below BL (m2/s) |
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220 | ! OSMOSIS mixed layer eddy parametrization constants |
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221 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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222 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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223 | ! Parameters used in nn_osm_mle = 0 case |
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224 | REAL(wp) :: rn_osm_mle_lf ! Typical scale of mixed layer front |
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225 | REAL(wp) :: rn_osm_mle_time ! Time scale for mixing momentum across the mixed layer |
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226 | ! Parameters used in nn_osm_mle = 1 case |
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227 | REAL(wp) :: rn_osm_mle_lat ! Reference latitude for a 5 km scale of ML front |
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228 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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229 | REAL(wp) :: rn_osm_hmle_limit ! If ln_osm_hmle_limit true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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230 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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231 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rho0 where rho_c is defined in zdfmld |
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232 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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233 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base |
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234 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base |
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235 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE |
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236 | |
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237 | ! General constants |
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238 | REAL(wp) :: epsln = 1.0e-20_wp ! A small positive number to ensure no div by zero |
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239 | REAL(wp) :: depth_tol = 1.0e-6_wp ! A small-ish positive number to give a hbl slightly shallower than gdepw |
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240 | REAL(wp) :: pthird = 1.0_wp/3.0_wp ! 1/3 |
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241 | REAL(wp) :: p2third = 2.0_wp/3.0_wp ! 2/3 |
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242 | |
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243 | !! * Substitutions |
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244 | # include "do_loop_substitute.h90" |
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245 | # include "domzgr_substitute.h90" |
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246 | !!---------------------------------------------------------------------- |
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247 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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248 | !! $Id$ |
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249 | !! Software governed by the CeCILL license (see ./LICENSE) |
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250 | !!---------------------------------------------------------------------- |
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251 | CONTAINS |
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252 | |
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253 | INTEGER FUNCTION zdf_osm_alloc() |
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254 | !!---------------------------------------------------------------------- |
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255 | !! *** FUNCTION zdf_osm_alloc *** |
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256 | !!---------------------------------------------------------------------- |
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257 | INTEGER :: ierr |
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258 | !!---------------------------------------------------------------------- |
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259 | ! |
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260 | zdf_osm_alloc = 0 |
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261 | ! |
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262 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk), ghams(jpi,jpj,jpk), hbl(jpi,jpj), hml(jpi,jpj), & |
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263 | & hmle(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), mld_prof(jpi,jpj), STAT=ierr ) |
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264 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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265 | ! |
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266 | ALLOCATE( etmean(A2D(nn_hls-1),jpk), dh(jpi,jpj), r1_ft(A2D(nn_hls-1)), STAT=ierr ) |
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267 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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268 | ! |
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269 | ALLOCATE( nbld(jpi,jpj), nmld(A2D(nn_hls-1)), STAT=ierr ) |
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270 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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271 | ! |
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272 | ALLOCATE( n_ddh(A2D(nn_hls-1)), STAT=ierr ) |
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273 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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274 | ! |
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275 | ALLOCATE( l_conv(A2D(nn_hls-1)), l_shear(A2D(nn_hls-1)), l_coup(A2D(nn_hls-1)), l_pyc(A2D(nn_hls-1)), & |
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276 | & l_flux(A2D(nn_hls-1)), l_mle(A2D(nn_hls-1)), STAT=ierr ) |
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277 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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278 | ! |
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279 | ALLOCATE( swth0(A2D(nn_hls-1)), sws0(A2D(nn_hls-1)), swb0(A2D(nn_hls-1)), suw0(A2D(nn_hls-1)), & |
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280 | & sustar(A2D(nn_hls-1)), scos_wind(A2D(nn_hls-1)), ssin_wind(A2D(nn_hls-1)), swthav(A2D(nn_hls-1)), & |
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281 | & swsav(A2D(nn_hls-1)), swbav(A2D(nn_hls-1)), sustke(A2D(nn_hls-1)), dstokes(A2D(nn_hls-1)), & |
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282 | & swstrl(A2D(nn_hls-1)), swstrc(A2D(nn_hls-1)), sla(A2D(nn_hls-1)), svstr(A2D(nn_hls-1)), & |
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283 | & shol(A2D(nn_hls-1)), STAT=ierr ) |
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284 | zdf_osm_alloc = zdf_osm_alloc + ierr |
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285 | ! |
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286 | ALLOCATE( av_t_bl(jpi,jpj), av_s_bl(jpi,jpj), av_u_bl(jpi,jpj), av_v_bl(jpi,jpj), & |
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287 | & av_b_bl(jpi,jpj), STAT=ierr) |
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288 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
289 | ! |
---|
290 | ALLOCATE( av_dt_bl(jpi,jpj), av_ds_bl(jpi,jpj), av_du_bl(jpi,jpj), av_dv_bl(jpi,jpj), & |
---|
291 | & av_db_bl(jpi,jpj), STAT=ierr) |
---|
292 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
293 | ! |
---|
294 | ALLOCATE( av_t_ml(jpi,jpj), av_s_ml(jpi,jpj), av_u_ml(jpi,jpj), av_v_ml(jpi,jpj), & |
---|
295 | & av_b_ml(jpi,jpj), STAT=ierr) |
---|
296 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
297 | ! |
---|
298 | ALLOCATE( av_dt_ml(jpi,jpj), av_ds_ml(jpi,jpj), av_du_ml(jpi,jpj), av_dv_ml(jpi,jpj), & |
---|
299 | & av_db_ml(jpi,jpj), STAT=ierr) |
---|
300 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
301 | ! |
---|
302 | ALLOCATE( av_t_mle(jpi,jpj), av_s_mle(jpi,jpj), av_u_mle(jpi,jpj), av_v_mle(jpi,jpj), & |
---|
303 | & av_b_mle(jpi,jpj), STAT=ierr) |
---|
304 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
305 | ! |
---|
306 | IF ( ln_dia_osm ) THEN |
---|
307 | ALLOCATE( osmdia2d(jpi,jpj), osmdia3d(jpi,jpj,jpk), STAT=ierr ) |
---|
308 | zdf_osm_alloc = zdf_osm_alloc + ierr |
---|
309 | END IF |
---|
310 | ! |
---|
311 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
---|
312 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn( 'zdf_osm_alloc: failed to allocate zdf_osm arrays' ) |
---|
313 | ! |
---|
314 | END FUNCTION zdf_osm_alloc |
---|
315 | |
---|
316 | SUBROUTINE zdf_osm( kt, Kbb, Kmm, Krhs, p_avm, & |
---|
317 | & p_avt ) |
---|
318 | !!---------------------------------------------------------------------- |
---|
319 | !! *** ROUTINE zdf_osm *** |
---|
320 | !! |
---|
321 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
---|
322 | !! coefficients and non local mixing using the OSMOSIS scheme |
---|
323 | !! |
---|
324 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
---|
325 | !! from profiles of buoyancy, and shear, and the surface forcing. |
---|
326 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
---|
327 | !! |
---|
328 | !! Kx = hosm Wx(sigma) G(sigma) |
---|
329 | !! |
---|
330 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
---|
331 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
---|
332 | !! shear instability and double diffusion. |
---|
333 | !! |
---|
334 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
---|
335 | !! -2- Diagnose the boundary layer depth. |
---|
336 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
---|
337 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
---|
338 | !! -5- Smoothing |
---|
339 | !! |
---|
340 | !! N.B. The computation is done from jk=2 to jpkm1 |
---|
341 | !! Surface value of avt are set once a time to zero |
---|
342 | !! in routine zdf_osm_init. |
---|
343 | !! |
---|
344 | !! ** Action : update the non-local terms ghamts |
---|
345 | !! update avt (before vertical eddy coef.) |
---|
346 | !! |
---|
347 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
---|
348 | !! Reviews of Geophysics, 32, 4, November 1994 |
---|
349 | !! Comments in the code refer to this paper, particularly |
---|
350 | !! the equation number. (LMD94, here after) |
---|
351 | !!---------------------------------------------------------------------- |
---|
352 | INTEGER , INTENT(in ) :: kt ! Ocean time step |
---|
353 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! Ocean time level indices |
---|
354 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! Momentum and tracer Kz (w-points) |
---|
355 | !! |
---|
356 | INTEGER :: ji, jj, jk, jl, jm, jkflt ! Dummy loop indices |
---|
357 | !! |
---|
358 | REAL(wp) :: zthermal, zbeta |
---|
359 | REAL(wp) :: zesh2, zri, zfri ! Interior Richardson mixing |
---|
360 | !! Scales |
---|
361 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zrad0 ! Surface solar temperature flux (deg m/s) |
---|
362 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zradh ! Radiative flux at bl base (Buoyancy units) |
---|
363 | REAL(wp) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
---|
364 | REAL(wp) :: zvw0 ! Surface v-momentum flux |
---|
365 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwb0tot ! Total surface buoyancy flux including insolation |
---|
366 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwb_ent ! Buoyancy entrainment flux |
---|
367 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwb_min |
---|
368 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
369 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwb_fk ! Max MLE buoyancy flux |
---|
370 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdiff_mle ! Extra MLE vertical diff |
---|
371 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
372 | !! Mixed-layer variables |
---|
373 | INTEGER, DIMENSION(A2D(nn_hls-1)) :: jk_nlev ! Number of levels |
---|
374 | INTEGER, DIMENSION(A2D(nn_hls-1)) :: jk_ext ! Offset for external level |
---|
375 | !! |
---|
376 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zhbl ! BL depth - grid |
---|
377 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zhml ! ML depth - grid |
---|
378 | !! |
---|
379 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zhmle ! MLE depth - grid |
---|
380 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zmld ! ML depth on grid |
---|
381 | !! |
---|
382 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdh ! Pycnocline depth - grid |
---|
383 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdhdt ! BL depth tendency |
---|
384 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdtdz_bl_ext, zdsdz_bl_ext ! External temperature/salinity gradients |
---|
385 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdbdz_bl_ext ! External buoyancy gradients |
---|
386 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zdtdx, zdtdy, zdsdx, zdsdy ! Horizontal gradients for Fox-Kemper parametrization |
---|
387 | !! |
---|
388 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
389 | !! Flux-gradient relationship variables |
---|
390 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zshear ! Shear production |
---|
391 | !! |
---|
392 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zhbl_t ! Holds boundary layer depth updated by full timestep |
---|
393 | !! For calculating Ri#-dependent mixing |
---|
394 | REAL(wp), DIMENSION(A2D(nn_hls)) :: z2du ! u-shear^2 |
---|
395 | REAL(wp), DIMENSION(A2D(nn_hls)) :: z2dv ! v-shear^2 |
---|
396 | REAL(wp) :: zrimix ! Spatial form of ri#-induced diffusion |
---|
397 | !! Temporary variables |
---|
398 | REAL(wp) :: znd ! Temporary non-dimensional depth |
---|
399 | REAL(wp) :: zz0, zz1, zfac |
---|
400 | REAL(wp) :: zus_x, zus_y ! Temporary Stokes drift |
---|
401 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk) :: zviscos ! Viscosity |
---|
402 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk) :: zdiffut ! t-diffusivity |
---|
403 | REAL(wp) :: zabsstke |
---|
404 | REAL(wp) :: zsqrtpi, z_two_thirds, zthickness |
---|
405 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zf, zexperfc |
---|
406 | !! For debugging |
---|
407 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
408 | !!---------------------------------------------------------------------- |
---|
409 | ! |
---|
410 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
411 | nmld(ji,jj) = 0 |
---|
412 | sustke(ji,jj) = pp_large |
---|
413 | l_pyc(ji,jj) = .FALSE. |
---|
414 | l_flux(ji,jj) = .FALSE. |
---|
415 | l_mle(ji,jj) = .FALSE. |
---|
416 | END_2D |
---|
417 | ! Mixed layer |
---|
418 | ! No initialization of zhbl or zhml (or zdh?) |
---|
419 | zhbl(:,:) = pp_large |
---|
420 | zhml(:,:) = pp_large |
---|
421 | zdh(:,:) = pp_large |
---|
422 | ! |
---|
423 | IF ( ln_osm_mle ) THEN ! Only initialise arrays if needed |
---|
424 | zdtdx(:,:) = pp_large ; zdtdy(:,:) = pp_large ; zdsdx(:,:) = pp_large |
---|
425 | zdsdy(:,:) = pp_large |
---|
426 | zwb_fk(:,:) = pp_large ; zvel_mle(:,:) = pp_large |
---|
427 | zhmle(:,:) = pp_large ; zmld(:,:) = pp_large |
---|
428 | DO_2D_OVR( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
429 | dbdx_mle(ji,jj) = pp_large |
---|
430 | dbdy_mle(ji,jj) = pp_large |
---|
431 | END_2D |
---|
432 | ENDIF |
---|
433 | zhbl_t(:,:) = pp_large |
---|
434 | ! |
---|
435 | zdiffut(:,:,:) = 0.0_wp |
---|
436 | zviscos(:,:,:) = 0.0_wp |
---|
437 | ! |
---|
438 | DO_3D_OVR( nn_hls, nn_hls, nn_hls, nn_hls, 1, jpk ) |
---|
439 | ghamt(ji,jj,jk) = pp_large |
---|
440 | ghams(ji,jj,jk) = pp_large |
---|
441 | ghamu(ji,jj,jk) = pp_large |
---|
442 | ghamv(ji,jj,jk) = pp_large |
---|
443 | END_3D |
---|
444 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpk ) |
---|
445 | ghamt(ji,jj,jk) = 0.0_wp |
---|
446 | ghams(ji,jj,jk) = 0.0_wp |
---|
447 | ghamu(ji,jj,jk) = 0.0_wp |
---|
448 | ghamv(ji,jj,jk) = 0.0_wp |
---|
449 | END_3D |
---|
450 | ! |
---|
451 | zdiff_mle(:,:) = 0.0_wp |
---|
452 | ! |
---|
453 | ! Ensure only positive hbl values are accessed when using extended halo |
---|
454 | ! (nn_hls==2) |
---|
455 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
456 | hbl(ji,jj) = MAX( hbl(ji,jj), epsln ) |
---|
457 | END_2D |
---|
458 | ! |
---|
459 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
460 | ! Calculate boundary layer scales |
---|
461 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
462 | ! |
---|
463 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
464 | zz0 = rn_abs ! Assume two-band radiation model for depth of OSBL - surface equi-partition in 2-bands |
---|
465 | zz1 = 1.0_wp - rn_abs |
---|
466 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
467 | zrad0(ji,jj) = qsr(ji,jj) * r1_rho0_rcp ! Surface downward irradiance (so always +ve) |
---|
468 | zradh(ji,jj) = zrad0(ji,jj) * & ! Downwards irradiance at base of boundary layer |
---|
469 | & ( zz0 * EXP( -1.0_wp * hbl(ji,jj) / rn_si0 ) + zz1 * EXP( -1.0_wp * hbl(ji,jj) / rn_si1 ) ) |
---|
470 | zradav = zrad0(ji,jj) * & ! Downwards irradiance averaged |
---|
471 | & ( zz0 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si0 ) ) * rn_si0 + & ! over depth of the OSBL |
---|
472 | & zz1 * ( 1.0_wp - EXP( -hbl(ji,jj)/rn_si1 ) ) * rn_si1 ) / hbl(ji,jj) |
---|
473 | swth0(ji,jj) = - qns(ji,jj) * r1_rho0_rcp * tmask(ji,jj,1) ! Upwards surface Temperature flux for non-local term |
---|
474 | swthav(ji,jj) = 0.5_wp * swth0(ji,jj) - ( 0.5_wp * ( zrad0(ji,jj) + zradh(ji,jj) ) - & ! Turbulent heat flux averaged |
---|
475 | & zradav ) ! over depth of OSBL |
---|
476 | END_2D |
---|
477 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
478 | sws0(ji,jj) = -1.0_wp * ( ( emp(ji,jj) - rnf(ji,jj) ) * ts(ji,jj,1,jp_sal,Kmm) + & ! Upwards surface salinity flux |
---|
479 | & sfx(ji,jj) ) * r1_rho0 * tmask(ji,jj,1) ! for non-local term |
---|
480 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
481 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
482 | swb0(ji,jj) = grav * zthermal * swth0(ji,jj) - grav * zbeta * sws0(ji,jj) ! Non radiative upwards surface buoyancy flux |
---|
483 | zwb0tot(ji,jj) = swb0(ji,jj) - grav * zthermal * ( zrad0(ji,jj) - zradh(ji,jj) ) ! Total upwards surface buoyancy flux |
---|
484 | swsav(ji,jj) = 0.5_wp * sws0(ji,jj) ! Turbulent salinity flux averaged over depth of the OBSL |
---|
485 | swbav(ji,jj) = grav * zthermal * swthav(ji,jj) - & ! Turbulent buoyancy flux averaged over the depth of the |
---|
486 | & grav * zbeta * swsav(ji,jj) ! OBSBL |
---|
487 | END_2D |
---|
488 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
489 | suw0(ji,jj) = -0.5_wp * (utau(ji-1,jj) + utau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) ! Surface upward velocity fluxes |
---|
490 | zvw0 = -0.5_wp * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rho0 * tmask(ji,jj,1) |
---|
491 | sustar(ji,jj) = MAX( SQRT( SQRT( suw0(ji,jj) * suw0(ji,jj) + zvw0 * zvw0 ) ), & ! Friction velocity (sustar), at |
---|
492 | & 1e-8_wp ) ! T-point : LMD94 eq. 2 |
---|
493 | scos_wind(ji,jj) = -1.0_wp * suw0(ji,jj) / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
494 | ssin_wind(ji,jj) = -1.0_wp * zvw0 / ( sustar(ji,jj) * sustar(ji,jj) ) |
---|
495 | END_2D |
---|
496 | ! Calculate Stokes drift in direction of wind (sustke) and Stokes penetration depth (dstokes) |
---|
497 | SELECT CASE (nn_osm_wave) |
---|
498 | ! Assume constant La#=0.3 |
---|
499 | CASE(0) |
---|
500 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
501 | zus_x = scos_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
502 | zus_y = ssin_wind(ji,jj) * sustar(ji,jj) / 0.3_wp**2 |
---|
503 | ! Linearly |
---|
504 | sustke(ji,jj) = MAX( SQRT( zus_x * zus_x + zus_y * zus_y ), 1e-8_wp ) |
---|
505 | dstokes(ji,jj) = rn_osm_dstokes |
---|
506 | END_2D |
---|
507 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
508 | CASE(1) |
---|
509 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
510 | ! Use wind speed wndm included in sbc_oce module |
---|
511 | sustke(ji,jj) = MAX ( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
512 | dstokes(ji,jj) = MAX ( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
513 | END_2D |
---|
514 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
515 | CASE(2) |
---|
516 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
517 | ! |
---|
518 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
519 | IF ( hsw(ji,jj) > 1e-4_wp ) THEN |
---|
520 | ! Use wave fields |
---|
521 | zabsstke = SQRT( ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2 ) |
---|
522 | sustke(ji,jj) = MAX( ( scos_wind(ji,jj) * ut0sd(ji,jj) + ssin_wind(ji,jj) * vt0sd(ji,jj) ), 1e-8_wp ) |
---|
523 | dstokes(ji,jj) = MAX( zfac * hsw(ji,jj) * hsw(ji,jj) / ( MAX( zabsstke * wmp(ji,jj), 1e-7 ) ), 5e-1_wp ) |
---|
524 | ELSE |
---|
525 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
526 | ! .. so default to Pierson-Moskowitz |
---|
527 | sustke(ji,jj) = MAX( 0.016_wp * wndm(ji,jj), 1e-8_wp ) |
---|
528 | dstokes(ji,jj) = MAX( 0.12_wp * wndm(ji,jj)**2 / grav, 5e-1_wp ) |
---|
529 | END IF |
---|
530 | END_2D |
---|
531 | END SELECT |
---|
532 | ! |
---|
533 | IF (ln_zdfosm_ice_shelter) THEN |
---|
534 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
535 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
536 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
537 | dstokes(ji,jj) = dstokes(ji,jj) * ( 1.0_wp - fr_i(ji,jj) ) |
---|
538 | END_2D |
---|
539 | END IF |
---|
540 | ! |
---|
541 | SELECT CASE (nn_osm_SD_reduce) |
---|
542 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
543 | CASE(0) |
---|
544 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
545 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
546 | ! It could represent the effects of the spread of wave directions around the mean wind. The effect of this adjustment needs to be tested. |
---|
547 | IF(nn_osm_wave > 0) THEN |
---|
548 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
549 | sustke(ji,jj) = rn_zdfosm_adjust_sd * sustke(ji,jj) |
---|
550 | END_2D |
---|
551 | END IF |
---|
552 | CASE(1) |
---|
553 | ! Van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
554 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
555 | zsqrtpi = SQRT(rpi) |
---|
556 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
557 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
558 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
559 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
560 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
561 | zexp_depth = EXP( -1.0_wp * z2k_times_thickness ) |
---|
562 | sustke(ji,jj) = sustke(ji,jj) * ( 1.0_wp - zexp_depth - & |
---|
563 | & z_two_thirds * ( zsqrtpi * zsqrt_depth * z2k_times_thickness * ERFC(zsqrt_depth) + & |
---|
564 | & 1.0_wp - ( 1.0_wp + z2k_times_thickness ) * zexp_depth ) ) / & |
---|
565 | & z2k_times_thickness |
---|
566 | END_2D |
---|
567 | CASE(2) |
---|
568 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
569 | ! Assumes approximate depth profile of SD from Breivik (2016) |
---|
570 | zsqrtpi = SQRT(rpi) |
---|
571 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
572 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
573 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 1e-7_wp ) |
---|
574 | IF( z2k_times_thickness < 50.0_wp ) THEN |
---|
575 | zsqrt_depth = SQRT( z2k_times_thickness ) |
---|
576 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP( z2k_times_thickness ) |
---|
577 | ELSE |
---|
578 | ! Asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large |
---|
579 | ! z2k_times_thickness |
---|
580 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
581 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
582 | zexperfc = ( ( -1.875_wp / z2k_times_thickness + 0.75_wp ) / z2k_times_thickness - 0.5_wp ) / & |
---|
583 | & z2k_times_thickness + 1.0_wp |
---|
584 | END IF |
---|
585 | zf = z2k_times_thickness * ( 1.0_wp / zexperfc - 1.0_wp ) |
---|
586 | dstokes(ji,jj) = 5.97_wp * zf * dstokes(ji,jj) |
---|
587 | sustke(ji,jj) = sustke(ji,jj) * EXP( z2k_times_thickness * ( 1.0_wp / ( 2.0_wp * zf ) - 1.0_wp ) ) * & |
---|
588 | & ( 1.0_wp - zexperfc ) |
---|
589 | END_2D |
---|
590 | END SELECT |
---|
591 | ! |
---|
592 | ! Langmuir velocity scale (swstrl), La # (sla) |
---|
593 | ! Mixed scale (svstr), convective velocity scale (swstrc) |
---|
594 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
595 | ! Langmuir velocity scale (swstrl), at T-point |
---|
596 | swstrl(ji,jj) = ( sustar(ji,jj) * sustar(ji,jj) * sustke(ji,jj) )**pthird |
---|
597 | sla(ji,jj) = MAX( MIN( SQRT( sustar(ji,jj) / ( swstrl(ji,jj) + epsln ) )**3, 4.0_wp ), 0.2_wp ) |
---|
598 | IF ( sla(ji,jj) > 0.45_wp ) dstokes(ji,jj) = MIN( dstokes(ji,jj), 0.5_wp * hbl(ji,jj) ) |
---|
599 | ! Velocity scale that tends to sustar for large Langmuir numbers |
---|
600 | svstr(ji,jj) = ( swstrl(ji,jj)**3 + ( 1.0_wp - EXP( -0.5_wp * sla(ji,jj)**2 ) ) * sustar(ji,jj) * sustar(ji,jj) * & |
---|
601 | & sustar(ji,jj) )**pthird |
---|
602 | ! |
---|
603 | ! Limit maximum value of Langmuir number as approximate treatment for shear turbulence |
---|
604 | ! Note sustke and swstrl are not amended |
---|
605 | ! |
---|
606 | ! Get convective velocity (swstrc), stabilty scale (shol) and logical conection flag l_conv |
---|
607 | IF ( swbav(ji,jj) > 0.0_wp ) THEN |
---|
608 | swstrc(ji,jj) = ( 2.0_wp * swbav(ji,jj) * 0.9_wp * hbl(ji,jj) )**pthird |
---|
609 | shol(ji,jj) = -0.9_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
610 | ELSE |
---|
611 | swstrc(ji,jj) = 0.0_wp |
---|
612 | shol(ji,jj) = -1.0_wp * hbl(ji,jj) * 2.0_wp * swbav(ji,jj) / ( svstr(ji,jj)**3 + epsln ) |
---|
613 | ENDIF |
---|
614 | END_2D |
---|
615 | ! |
---|
616 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
617 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
618 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
619 | ! BL must be always 4 levels deep. |
---|
620 | ! For calculation of lateral buoyancy gradients for FK in |
---|
621 | ! zdf_osm_zmld_horizontal_gradients need halo values for nbld |
---|
622 | ! |
---|
623 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
624 | ! ########################################################################## |
---|
625 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
626 | hbl(ji,jj) = MAX(hbl(ji,jj), gdepw(ji,jj,4,Kmm) ) |
---|
627 | END_2D |
---|
628 | DO_2D_OVR( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
629 | nbld(ji,jj) = 4 |
---|
630 | END_2D |
---|
631 | DO_3D_OVR( nn_hls, nn_hls, nn_hls, nn_hls, 5, jpkm1 ) |
---|
632 | IF ( MAX( hbl(ji,jj), gdepw(ji,jj,4,Kmm) ) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
633 | nbld(ji,jj) = MIN(mbkt(ji,jj)-2, jk) |
---|
634 | ENDIF |
---|
635 | END_3D |
---|
636 | ! ########################################################################## |
---|
637 | ! |
---|
638 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
639 | zhbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
640 | nmld(ji,jj) = MAX( 3, nbld(ji,jj) - MAX( INT( dh(ji,jj) / e3t(ji,jj,nbld(ji,jj)-1,Kmm) ), 1 ) ) |
---|
641 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
642 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
643 | END_2D |
---|
644 | ! |
---|
645 | ! Averages over well-mixed and boundary layer, note BL averages use jk_ext=2 everywhere |
---|
646 | jk_nlev(:,:) = nbld(A2D(nn_hls-1)) |
---|
647 | jk_ext(:,:) = 1 ! ag 19/03 |
---|
648 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_bl, av_s_bl, & |
---|
649 | & av_b_bl, av_u_bl, av_v_bl, jk_ext, av_dt_bl, & |
---|
650 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
651 | jk_nlev(:,:) = nmld(A2D(nn_hls-1)) - 1 |
---|
652 | jk_ext(:,:) = nbld(A2D(nn_hls-1)) - nmld(A2D(nn_hls-1)) + jk_ext(:,:) + 1 ! ag 19/03 |
---|
653 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_ml, av_s_ml, & |
---|
654 | & av_b_ml, av_u_ml, av_v_ml, jk_ext, av_dt_ml, & |
---|
655 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) |
---|
656 | ! Velocity components in frame aligned with surface stress |
---|
657 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
658 | CALL zdf_osm_velocity_rotation( av_du_ml, av_dv_ml ) |
---|
659 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
660 | CALL zdf_osm_velocity_rotation( av_du_bl, av_dv_bl ) |
---|
661 | ! |
---|
662 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
---|
663 | CALL zdf_osm_osbl_state( Kmm, zwb_ent, zwb_min, zshear, zhbl, & |
---|
664 | & zhml, zdh ) |
---|
665 | ! |
---|
666 | IF ( ln_osm_mle ) THEN |
---|
667 | ! Fox-Kemper Scheme |
---|
668 | DO_2D_OVR( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
669 | mld_prof(ji,jj) = 4 |
---|
670 | END_2D |
---|
671 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 5, jpkm1 ) |
---|
672 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) mld_prof(ji,jj) = MIN( mbkt(ji,jj), jk) |
---|
673 | END_3D |
---|
674 | jk_nlev(:,:) = mld_prof(A2D(nn_hls-1)) |
---|
675 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_mle, av_s_mle, & |
---|
676 | & av_b_mle, av_u_mle, av_v_mle ) |
---|
677 | ! |
---|
678 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
679 | zhmle(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
680 | END_2D |
---|
681 | ! |
---|
682 | ! Calculate fairly-well-mixed depth zmld & its index mld_prof + lateral zmld-averaged gradients |
---|
683 | CALL zdf_osm_zmld_horizontal_gradients( Kmm, zmld, zdtdx, zdtdy, zdsdx, & |
---|
684 | & zdsdy, zdbds_mle ) |
---|
685 | ! Calculate max vertical FK flux zwb_fk & set logical descriptors |
---|
686 | CALL zdf_osm_osbl_state_fk( Kmm, zwb_fk, zhbl, zhmle, zwb_ent, & |
---|
687 | & zdbds_mle ) |
---|
688 | ! Recalculate hmle, zmle, zvel_mle, zdiff_mle & redefine mld_proc to be index for new hmle |
---|
689 | CALL zdf_osm_mle_parameters( Kmm, zmld, zhmle, zvel_mle, zdiff_mle, & |
---|
690 | & zdbds_mle, zhbl, zwb0tot ) |
---|
691 | ELSE ! ln_osm_mle |
---|
692 | ! FK not selected, Boundary Layer only. |
---|
693 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
694 | l_pyc(ji,jj) = .TRUE. |
---|
695 | l_flux(ji,jj) = .FALSE. |
---|
696 | l_mle(ji,jj) = .FALSE. |
---|
697 | IF ( l_conv(ji,jj) .AND. av_db_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
698 | END_2D |
---|
699 | ENDIF ! ln_osm_mle |
---|
700 | ! |
---|
701 | !! External gradient below BL needed both with and w/o FK |
---|
702 | jk_ext(:,:) = nbld(A2D(nn_hls-1)) + 1 |
---|
703 | CALL zdf_osm_external_gradients( Kmm, jk_ext, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) ! ag 19/03 |
---|
704 | ! |
---|
705 | ! Test if pycnocline well resolved |
---|
706 | ! DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) Removed with ag 19/03 changes. A change in eddy diffusivity/viscosity |
---|
707 | ! IF (l_conv(ji,jj) ) THEN should account for this. |
---|
708 | ! ztmp = 0.2 * zhbl(ji,jj) / e3w(ji,jj,nbld(ji,jj),Kmm) |
---|
709 | ! IF ( ztmp > 6 ) THEN |
---|
710 | ! ! pycnocline well resolved |
---|
711 | ! jk_ext(ji,jj) = 1 |
---|
712 | ! ELSE |
---|
713 | ! ! pycnocline poorly resolved |
---|
714 | ! jk_ext(ji,jj) = 0 |
---|
715 | ! ENDIF |
---|
716 | ! ELSE |
---|
717 | ! ! Stable conditions |
---|
718 | ! jk_ext(ji,jj) = 0 |
---|
719 | ! ENDIF |
---|
720 | ! END_2D |
---|
721 | ! |
---|
722 | ! Recalculate bl averages using jk_ext & ml averages .... note no rotation of u & v here.. |
---|
723 | jk_nlev(:,:) = nbld(A2D(nn_hls-1)) |
---|
724 | jk_ext(:,:) = 1 ! ag 19/03 |
---|
725 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_bl, av_s_bl, & |
---|
726 | & av_b_bl, av_u_bl, av_v_bl, jk_ext, av_dt_bl, & |
---|
727 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
728 | jk_nlev(:,:) = nmld(A2D(nn_hls-1)) - 1 |
---|
729 | jk_ext(:,:) = nbld(A2D(nn_hls-1)) - nmld(A2D(nn_hls-1)) + jk_ext(:,:) + 1 ! ag 19/03 |
---|
730 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_ml, av_s_ml, & |
---|
731 | & av_b_ml, av_u_ml, av_v_ml, jk_ext, av_dt_ml, & |
---|
732 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) ! ag 19/03 |
---|
733 | ! |
---|
734 | ! Rate of change of hbl |
---|
735 | CALL zdf_osm_calculate_dhdt( zdhdt, zhbl, zdh, zwb_ent, zwb_min, & |
---|
736 | & zdbdz_bl_ext, zwb_fk_b, zwb_fk, zvel_mle ) |
---|
737 | ! Test if surface boundary layer coupled to bottom |
---|
738 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
739 | l_coup(ji,jj) = .FALSE. ! ag 19/03 |
---|
740 | zhbl_t(ji,jj) = hbl(ji,jj) + ( zdhdt(ji,jj) - ww(ji,jj,nbld(ji,jj)) ) * rn_Dt ! Certainly need ww here, so subtract it |
---|
741 | ! Adjustment to represent limiting by ocean bottom |
---|
742 | IF ( mbkt(ji,jj) > 2 ) THEN ! To ensure mbkt(ji,jj) - 2 > 0 so no incorrect array access |
---|
743 | IF ( zhbl_t(ji,jj) > gdepw(ji, jj,mbkt(ji,jj)-2,Kmm) ) THEN |
---|
744 | zhbl_t(ji,jj) = MIN( zhbl_t(ji,jj), gdepw(ji,jj,mbkt(ji,jj)-2,Kmm) ) ! ht(:,:)) |
---|
745 | l_pyc(ji,jj) = .FALSE. |
---|
746 | l_coup(ji,jj) = .TRUE. ! ag 19/03 |
---|
747 | END IF |
---|
748 | END IF |
---|
749 | END_2D |
---|
750 | ! |
---|
751 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
752 | nmld(ji,jj) = nbld(ji,jj) ! use nmld to hold previous blayer index |
---|
753 | nbld(ji,jj) = 4 |
---|
754 | END_2D |
---|
755 | ! |
---|
756 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 4, jpkm1 ) |
---|
757 | IF ( zhbl_t(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) THEN |
---|
758 | nbld(ji,jj) = jk |
---|
759 | END IF |
---|
760 | END_3D |
---|
761 | ! |
---|
762 | ! |
---|
763 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
764 | ! |
---|
765 | CALL zdf_osm_timestep_hbl( Kmm, zdhdt, zhbl, zhbl_t, zwb_ent, & |
---|
766 | & zwb_fk_b ) |
---|
767 | ! Is external level in bounds? |
---|
768 | ! |
---|
769 | ! Recalculate BL averages and differences using new BL depth |
---|
770 | jk_nlev(:,:) = nbld(A2D(nn_hls-1)) |
---|
771 | jk_ext(:,:) = 1 ! ag 19/03 |
---|
772 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_bl, av_s_bl, & |
---|
773 | & av_b_bl, av_u_bl, av_v_bl, jk_ext, av_dt_bl, & |
---|
774 | & av_ds_bl, av_db_bl, av_du_bl, av_dv_bl ) |
---|
775 | ! |
---|
776 | CALL zdf_osm_pycnocline_thickness( Kmm, zdh, zhml, zdhdt, zhbl, & |
---|
777 | & zwb_ent, zdbdz_bl_ext, zwb_fk_b ) |
---|
778 | ! |
---|
779 | ! Reset l_pyc before calculating terms in the flux-gradient relationship |
---|
780 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
781 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh .OR. nbld(ji,jj) >= mbkt(ji,jj) - 2 .OR. & |
---|
782 | & nbld(ji,jj) - nmld(ji,jj) == 1 .OR. zdhdt(ji,jj) < 0.0_wp ) THEN ! ag 19/03 |
---|
783 | l_pyc(ji,jj) = .FALSE. ! ag 19/03 |
---|
784 | IF ( nbld(ji,jj) >= mbkt(ji,jj) -2 ) THEN |
---|
785 | nmld(ji,jj) = nbld(ji,jj) - 1 ! ag 19/03 |
---|
786 | zdh(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) - gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
787 | zhml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) ! ag 19/03 |
---|
788 | dh(ji,jj) = zdh(ji,jj) ! ag 19/03 |
---|
789 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) ! ag 19/03 |
---|
790 | ENDIF |
---|
791 | ENDIF ! ag 19/03 |
---|
792 | END_2D |
---|
793 | ! |
---|
794 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! Limit delta for shallow boundary layers for calculating |
---|
795 | dstokes(ji,jj) = MIN ( dstokes(ji,jj), hbl(ji,jj) / 3.0_wp ) ! flux-gradient terms |
---|
796 | END_2D |
---|
797 | ! |
---|
798 | ! |
---|
799 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
800 | ! jk_ext = nbld - nmld + 1 |
---|
801 | ! Recalculate ML averages and differences using new ML depth |
---|
802 | jk_nlev(:,:) = nmld(A2D(nn_hls-1)) - 1 |
---|
803 | jk_ext(:,:) = nbld(A2D(nn_hls-1)) - nmld(A2D(nn_hls-1)) + jk_ext(:,:) + 1 ! ag 19/03 |
---|
804 | CALL zdf_osm_vertical_average( Kbb, Kmm, jk_nlev, av_t_ml, av_s_ml, & |
---|
805 | & av_b_ml, av_u_ml, av_v_ml, jk_ext, av_dt_ml, & |
---|
806 | & av_ds_ml, av_db_ml, av_du_ml, av_dv_ml ) |
---|
807 | ! |
---|
808 | jk_ext(:,:) = nbld(A2D(nn_hls-1)) + 1 |
---|
809 | CALL zdf_osm_external_gradients( Kmm, jk_ext, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
810 | ! Rotate mean currents and changes onto wind aligned co-ordinates |
---|
811 | CALL zdf_osm_velocity_rotation( av_u_ml, av_v_ml ) |
---|
812 | CALL zdf_osm_velocity_rotation( av_du_ml, av_dv_ml ) |
---|
813 | CALL zdf_osm_velocity_rotation( av_u_bl, av_v_bl ) |
---|
814 | CALL zdf_osm_velocity_rotation( av_du_bl, av_dv_bl ) |
---|
815 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
816 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
817 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
818 | CALL zdf_osm_diffusivity_viscosity( Kbb, Kmm, zdiffut, zviscos, zhbl, & |
---|
819 | & zhml, zdh, zdhdt, zshear, zwb_ent, & |
---|
820 | & zwb_min ) |
---|
821 | ! |
---|
822 | ! Calculate non-gradient components of the flux-gradient relationships |
---|
823 | ! -------------------------------------------------------------------- |
---|
824 | jk_ext(:,:) = 1 ! ag 19/03 |
---|
825 | CALL zdf_osm_fgr_terms( Kmm, jk_ext, zhbl, zhml, zdh, & |
---|
826 | & zdhdt, zshear, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext, & |
---|
827 | & zdiffut, zviscos ) |
---|
828 | ! |
---|
829 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
830 | ! Need to put in code for contributions that are applied explicitly to |
---|
831 | ! the prognostic variables |
---|
832 | ! 1. Entrainment flux |
---|
833 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
834 | ! |
---|
835 | ! Rotate non-gradient velocity terms back to model reference frame |
---|
836 | jk_nlev(:,:) = nbld(A2D(nn_hls-1)) |
---|
837 | CALL zdf_osm_velocity_rotation( ghamu, ghamv, .FALSE., 2, jk_nlev ) |
---|
838 | ! |
---|
839 | ! KPP-style Ri# mixing |
---|
840 | IF ( ln_kpprimix ) THEN |
---|
841 | jkflt = jpk |
---|
842 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
843 | IF ( nbld(ji,jj) < jkflt ) jkflt = nbld(ji,jj) |
---|
844 | END_2D |
---|
845 | DO jk = jkflt+1, jpkm1 |
---|
846 | ! Shear production at uw- and vw-points (energy conserving form) |
---|
847 | DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) |
---|
848 | z2du(ji,jj) = 0.5_wp * ( uu(ji,jj,jk-1,Kmm) - uu(ji,jj,jk,Kmm) ) * ( uu(ji,jj,jk-1,Kbb) - uu(ji,jj,jk,Kbb) ) * & |
---|
849 | & wumask(ji,jj,jk) / ( e3uw(ji,jj,jk,Kmm) * e3uw(ji,jj,jk,Kbb) ) |
---|
850 | z2dv(ji,jj) = 0.5_wp * ( vv(ji,jj,jk-1,Kmm) - vv(ji,jj,jk,Kmm) ) * ( vv(ji,jj,jk-1,Kbb) - vv(ji,jj,jk,Kbb) ) * & |
---|
851 | & wvmask(ji,jj,jk) / ( e3vw(ji,jj,jk,Kmm) * e3vw(ji,jj,jk,Kbb) ) |
---|
852 | END_2D |
---|
853 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
854 | IF ( jk > nbld(ji,jj) ) THEN |
---|
855 | ! Shear prod. at w-point weightened by mask |
---|
856 | zesh2 = ( z2du(ji-1,jj) + z2du(ji,jj) ) / MAX( 1.0_wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) + & |
---|
857 | & ( z2dv(ji,jj-1) + z2dv(ji,jj) ) / MAX( 1.0_wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
858 | ! Local Richardson number |
---|
859 | zri = MAX( rn2b(ji,jj,jk), 0.0_wp ) / MAX( zesh2, epsln ) |
---|
860 | zfri = MIN( zri / rn_riinfty, 1.0_wp ) |
---|
861 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
862 | zrimix = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
863 | zdiffut(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), zrimix*rn_difri ) |
---|
864 | zviscos(ji,jj,jk) = MAX( zviscos(ji,jj,jk), zrimix*rn_difri ) |
---|
865 | END IF |
---|
866 | END_2D |
---|
867 | END DO |
---|
868 | END IF ! ln_kpprimix = .true. |
---|
869 | ! |
---|
870 | ! KPP-style set diffusivity large if unstable below BL |
---|
871 | IF ( ln_convmix) THEN |
---|
872 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
873 | DO jk = nbld(ji,jj) + 1, jpkm1 |
---|
874 | IF ( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1e-12_wp ) zdiffut(ji,jj,jk) = MAX( rn_difconv, zdiffut(ji,jj,jk) ) |
---|
875 | END DO |
---|
876 | END_2D |
---|
877 | END IF ! ln_convmix = .true. |
---|
878 | ! |
---|
879 | IF ( ln_osm_mle ) THEN ! Set up diffusivity and non-gradient mixing |
---|
880 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
881 | IF ( l_flux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
---|
882 | ! Calculate MLE flux contribution from surface fluxes |
---|
883 | DO jk = 1, nbld(ji,jj) |
---|
884 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhbl(ji,jj), epsln ) |
---|
885 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
886 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - sws0(ji,jj) * ( 1.0_wp - znd ) |
---|
887 | END DO |
---|
888 | DO jk = 1, mld_prof(ji,jj) |
---|
889 | znd = gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
890 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( swth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0_wp - znd ) |
---|
891 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + sws0(ji,jj) * ( 1.0_wp -znd ) |
---|
892 | END DO |
---|
893 | ! Viscosity for MLEs |
---|
894 | DO jk = 1, mld_prof(ji,jj) |
---|
895 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
896 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
897 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
898 | END DO |
---|
899 | ELSE ! Surface transports limited to OSBL |
---|
900 | ! Viscosity for MLEs |
---|
901 | DO jk = 1, mld_prof(ji,jj) |
---|
902 | znd = -1.0_wp * gdepw(ji,jj,jk,Kmm) / MAX( zhmle(ji,jj), epsln ) |
---|
903 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0_wp - ( 2.0_wp * znd + 1.0_wp )**2 ) * & |
---|
904 | & ( 1.0_wp + 5.0_wp / 21.0_wp * ( 2.0_wp * znd + 1.0_wp )**2 ) |
---|
905 | END DO |
---|
906 | END IF |
---|
907 | END_2D |
---|
908 | ENDIF |
---|
909 | ! |
---|
910 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
911 | ! CALL lbc_lnk( 'zdfosm', zviscos(:,:,:), 'W', 1.0_wp ) |
---|
912 | ! GN 25/8: need to change tmask --> wmask |
---|
913 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jpkm1 ) |
---|
914 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
915 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
916 | END_3D |
---|
917 | ! |
---|
918 | IF ( ln_dia_osm ) THEN |
---|
919 | SELECT CASE (nn_osm_wave) |
---|
920 | ! Stokes drift set by assumimg onstant La#=0.3 (=0) or Pierson-Moskovitz spectrum (=1) |
---|
921 | CASE(0:1) |
---|
922 | CALL zdf_osm_iomput( "us_x", tmask(A2D(0),1) * sustke(A2D(0)) * scos_wind(A2D(0)) ) ! x surface Stokes drift |
---|
923 | CALL zdf_osm_iomput( "us_y", tmask(A2D(0),1) * sustke(A2D(0)) * scos_wind(A2D(0)) ) ! y surface Stokes drift |
---|
924 | CALL zdf_osm_iomput( "wind_wave_abs_power", 1000.0_wp * rho0 * tmask(A2D(0),1) * sustar(A2D(0))**2 * sustke(A2D(0)) ) |
---|
925 | ! Stokes drift read in from sbcwave (=2). |
---|
926 | CASE(2:3) |
---|
927 | CALL zdf_osm_iomput( "us_x", ut0sd(A2D(0)) * umask(A2D(0),1) ) ! x surface Stokes drift |
---|
928 | CALL zdf_osm_iomput( "us_y", vt0sd(A2D(0)) * vmask(A2D(0),1) ) ! y surface Stokes drift |
---|
929 | CALL zdf_osm_iomput( "wmp", wmp(A2D(0)) * tmask(A2D(0),1) ) ! Wave mean period |
---|
930 | CALL zdf_osm_iomput( "hsw", hsw(A2D(0)) * tmask(A2D(0),1) ) ! Significant wave height |
---|
931 | CALL zdf_osm_iomput( "wmp_NP", ( 2.0_wp * rpi * 1.026_wp / ( 0.877_wp * grav ) ) * & ! Wave mean period from NP |
---|
932 | & wndm(A2D(0)) * tmask(A2D(0),1) ) ! spectrum |
---|
933 | CALL zdf_osm_iomput( "hsw_NP", ( 0.22_wp / grav ) * wndm(A2D(0))**2 * tmask(A2D(0),1) ) ! Significant wave height from |
---|
934 | ! ! NP spectrum |
---|
935 | CALL zdf_osm_iomput( "wndm", wndm(A2D(0)) * tmask(A2D(0),1) ) ! U_10 |
---|
936 | CALL zdf_osm_iomput( "wind_wave_abs_power", 1000.0_wp * rho0 * tmask(A2D(0),1) * sustar(A2D(0))**2 * & |
---|
937 | & SQRT( ut0sd(A2D(0))**2 + vt0sd(A2D(0))**2 ) ) |
---|
938 | END SELECT |
---|
939 | CALL zdf_osm_iomput( "zwth0", tmask(A2D(0),1) * swth0(A2D(0)) ) ! <Tw_0> |
---|
940 | CALL zdf_osm_iomput( "zws0", tmask(A2D(0),1) * sws0(A2D(0)) ) ! <Sw_0> |
---|
941 | CALL zdf_osm_iomput( "zwb0", tmask(A2D(0),1) * swb0(A2D(0)) ) ! <Sw_0> |
---|
942 | CALL zdf_osm_iomput( "zwbav", tmask(A2D(0),1) * swth0(A2D(0)) ) ! Upward BL-avged turb buoyancy flux |
---|
943 | CALL zdf_osm_iomput( "ibld", tmask(A2D(0),1) * nbld(A2D(0)) ) ! Boundary-layer max k |
---|
944 | CALL zdf_osm_iomput( "zdt_bl", tmask(A2D(0),1) * av_dt_bl(A2D(0)) ) ! dt at ml base |
---|
945 | CALL zdf_osm_iomput( "zds_bl", tmask(A2D(0),1) * av_ds_bl(A2D(0)) ) ! ds at ml base |
---|
946 | CALL zdf_osm_iomput( "zdb_bl", tmask(A2D(0),1) * av_db_bl(A2D(0)) ) ! db at ml base |
---|
947 | CALL zdf_osm_iomput( "zdu_bl", tmask(A2D(0),1) * av_du_bl(A2D(0)) ) ! du at ml base |
---|
948 | CALL zdf_osm_iomput( "zdv_bl", tmask(A2D(0),1) * av_dv_bl(A2D(0)) ) ! dv at ml base |
---|
949 | CALL zdf_osm_iomput( "dh", tmask(A2D(0),1) * dh(A2D(0)) ) ! Initial boundary-layer depth |
---|
950 | CALL zdf_osm_iomput( "hml", tmask(A2D(0),1) * hml(A2D(0)) ) ! Initial boundary-layer depth |
---|
951 | CALL zdf_osm_iomput( "zdt_ml", tmask(A2D(0),1) * av_dt_ml(A2D(0)) ) ! dt at ml base |
---|
952 | CALL zdf_osm_iomput( "zds_ml", tmask(A2D(0),1) * av_ds_ml(A2D(0)) ) ! ds at ml base |
---|
953 | CALL zdf_osm_iomput( "zdb_ml", tmask(A2D(0),1) * av_db_ml(A2D(0)) ) ! db at ml base |
---|
954 | CALL zdf_osm_iomput( "dstokes", tmask(A2D(0),1) * dstokes(A2D(0)) ) ! Stokes drift penetration depth |
---|
955 | CALL zdf_osm_iomput( "zustke", tmask(A2D(0),1) * sustke(A2D(0)) ) ! Stokes drift magnitude at T-points |
---|
956 | CALL zdf_osm_iomput( "zwstrc", tmask(A2D(0),1) * swstrc(A2D(0)) ) ! Convective velocity scale |
---|
957 | CALL zdf_osm_iomput( "zwstrl", tmask(A2D(0),1) * swstrl(A2D(0)) ) ! Langmuir velocity scale |
---|
958 | CALL zdf_osm_iomput( "zustar", tmask(A2D(0),1) * sustar(A2D(0)) ) ! Friction velocity scale |
---|
959 | CALL zdf_osm_iomput( "zvstr", tmask(A2D(0),1) * svstr(A2D(0)) ) ! Mixed velocity scale |
---|
960 | CALL zdf_osm_iomput( "zla", tmask(A2D(0),1) * sla(A2D(0)) ) ! Langmuir # |
---|
961 | CALL zdf_osm_iomput( "wind_power", 1000.0_wp * rho0 * tmask(A2D(0),1) * & ! BL depth internal to zdf_osm routine |
---|
962 | & sustar(A2D(0))**3 ) |
---|
963 | CALL zdf_osm_iomput( "wind_wave_power", 1000.0_wp * rho0 * tmask(A2D(0),1) * & |
---|
964 | & sustar(A2D(0))**2 * sustke(A2D(0)) ) |
---|
965 | CALL zdf_osm_iomput( "zhbl", tmask(A2D(0),1) * zhbl(A2D(0)) ) ! BL depth internal to zdf_osm routine |
---|
966 | CALL zdf_osm_iomput( "zhml", tmask(A2D(0),1) * zhml(A2D(0)) ) ! ML depth internal to zdf_osm routine |
---|
967 | CALL zdf_osm_iomput( "imld", tmask(A2D(0),1) * nmld(A2D(0)) ) ! Index for ML depth internal to zdf_osm |
---|
968 | ! ! routine |
---|
969 | CALL zdf_osm_iomput( "jp_ext", tmask(A2D(0),1) * jk_ext(A2D(0)) ) ! =1 if pycnocline resolved internal to |
---|
970 | ! ! zdf_osm routine |
---|
971 | CALL zdf_osm_iomput( "j_ddh", tmask(A2D(0),1) * n_ddh(A2D(0)) ) ! Index forpyc thicknessh internal to |
---|
972 | ! ! zdf_osm routine |
---|
973 | CALL zdf_osm_iomput( "zshear", tmask(A2D(0),1) * zshear(A2D(0)) ) ! Shear production of TKE internal to |
---|
974 | ! ! zdf_osm routine |
---|
975 | CALL zdf_osm_iomput( "zdh", tmask(A2D(0),1) * zdh(A2D(0)) ) ! Pyc thicknessh internal to zdf_osm |
---|
976 | ! ! routine |
---|
977 | CALL zdf_osm_iomput( "zhol", tmask(A2D(0),1) * shol(A2D(0)) ) ! ML depth internal to zdf_osm routine |
---|
978 | CALL zdf_osm_iomput( "zwb_ent", tmask(A2D(0),1) * zwb_ent(A2D(0)) ) ! Upward turb buoyancy entrainment flux |
---|
979 | CALL zdf_osm_iomput( "zt_ml", tmask(A2D(0),1) * av_t_ml(A2D(0)) ) ! Average T in ML |
---|
980 | CALL zdf_osm_iomput( "zmld", tmask(A2D(0),1) * zmld(A2D(0)) ) ! FK target layer depth |
---|
981 | CALL zdf_osm_iomput( "zwb_fk", tmask(A2D(0),1) * zwb_fk(A2D(0)) ) ! FK b flux |
---|
982 | CALL zdf_osm_iomput( "zwb_fk_b", tmask(A2D(0),1) * zwb_fk_b(A2D(0)) ) ! FK b flux averaged over ML |
---|
983 | CALL zdf_osm_iomput( "mld_prof", tmask(A2D(0),1) * mld_prof(A2D(0)) ) ! FK layer max k |
---|
984 | CALL zdf_osm_iomput( "zdtdx", umask(A2D(0),1) * zdtdx(A2D(0)) ) ! FK dtdx at u-pt |
---|
985 | CALL zdf_osm_iomput( "zdtdy", vmask(A2D(0),1) * zdtdy(A2D(0)) ) ! FK dtdy at v-pt |
---|
986 | CALL zdf_osm_iomput( "zdsdx", umask(A2D(0),1) * zdsdx(A2D(0)) ) ! FK dtdx at u-pt |
---|
987 | CALL zdf_osm_iomput( "zdsdy", vmask(A2D(0),1) * zdsdy(A2D(0)) ) ! FK dsdy at v-pt |
---|
988 | CALL zdf_osm_iomput( "dbdx_mle", umask(A2D(0),1) * dbdx_mle(A2D(0)) ) ! FK dbdx at u-pt |
---|
989 | CALL zdf_osm_iomput( "dbdy_mle", vmask(A2D(0),1) * dbdy_mle(A2D(0)) ) ! FK dbdy at v-pt |
---|
990 | CALL zdf_osm_iomput( "zdiff_mle", tmask(A2D(0),1) * zdiff_mle(A2D(0)) ) ! FK diff in MLE at t-pt |
---|
991 | CALL zdf_osm_iomput( "zvel_mle", tmask(A2D(0),1) * zdiff_mle(A2D(0)) ) ! FK diff in MLE at t-pt |
---|
992 | END IF |
---|
993 | ! |
---|
994 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and |
---|
995 | ! v grids |
---|
996 | IF ( .NOT. l_istiled .OR. ntile == nijtile ) THEN ! Finalise ghamu, ghamv, hbl, and hmle only after full domain has been |
---|
997 | ! ! processed |
---|
998 | IF ( nn_hls == 1 ) CALL lbc_lnk( 'zdfosm', ghamu, 'W', 1.0_wp, & |
---|
999 | & ghamv, 'W', 1.0_wp ) |
---|
1000 | DO jk = 2, jpkm1 |
---|
1001 | DO jj = Njs0, Nje0 |
---|
1002 | DO ji = Nis0, Nie0 |
---|
1003 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) / & |
---|
1004 | & MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji+1,jj,jk) ) * umask(ji,jj,jk) |
---|
1005 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) / & |
---|
1006 | & MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
1007 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1008 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1009 | END DO |
---|
1010 | END DO |
---|
1011 | END DO |
---|
1012 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
1013 | CALL lbc_lnk( 'zdfosm', hbl, 'T', 1.0_wp, & |
---|
1014 | & hmle, 'T', 1.0_wp ) |
---|
1015 | ! |
---|
1016 | CALL zdf_osm_iomput( "ghamt", tmask * ghamt ) ! <Tw_NL> |
---|
1017 | CALL zdf_osm_iomput( "ghams", tmask * ghams ) ! <Sw_NL> |
---|
1018 | CALL zdf_osm_iomput( "ghamu", umask * ghamu ) ! <uw_NL> |
---|
1019 | CALL zdf_osm_iomput( "ghamv", vmask * ghamv ) ! <vw_NL> |
---|
1020 | CALL zdf_osm_iomput( "hbl", tmask(:,:,1) * hbl ) ! Boundary-layer depth |
---|
1021 | CALL zdf_osm_iomput( "hmle", tmask(:,:,1) * hmle ) ! FK layer depth |
---|
1022 | END IF |
---|
1023 | ! |
---|
1024 | END SUBROUTINE zdf_osm |
---|
1025 | |
---|
1026 | SUBROUTINE zdf_osm_vertical_average( Kbb, Kmm, knlev, pt, ps, & |
---|
1027 | & pb, pu, pv, kp_ext, pdt, & |
---|
1028 | & pds, pdb, pdu, pdv ) |
---|
1029 | !!--------------------------------------------------------------------- |
---|
1030 | !! *** ROUTINE zdf_vertical_average *** |
---|
1031 | !! |
---|
1032 | !! ** Purpose : Determines vertical averages from surface to knlev, |
---|
1033 | !! and optionally the differences between these vertical |
---|
1034 | !! averages and values at an external level |
---|
1035 | !! |
---|
1036 | !! ** Method : Averages are calculated from the surface to knlev. |
---|
1037 | !! The external level used to calculate differences is |
---|
1038 | !! knlev+kp_ext |
---|
1039 | !!---------------------------------------------------------------------- |
---|
1040 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
1041 | INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: knlev ! Number of levels to average over. |
---|
1042 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt, ps ! Average temperature and salinity |
---|
1043 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pb ! Average buoyancy |
---|
1044 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pu, pv ! Average current components |
---|
1045 | INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ), OPTIONAL :: kp_ext ! External-level offsets |
---|
1046 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdt ! Difference between average temperature, |
---|
1047 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pds ! salinity, |
---|
1048 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdb ! buoyancy, and |
---|
1049 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdu, pdv ! velocity components and the OSBL |
---|
1050 | !! |
---|
1051 | INTEGER :: jk, jkflt, jkmax, ji, jj ! Loop indices |
---|
1052 | INTEGER :: ibld_ext ! External-layer index |
---|
1053 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zthick ! Layer thickness |
---|
1054 | REAL(wp) :: zthermal ! Thermal expansion coefficient |
---|
1055 | REAL(wp) :: zbeta ! Haline contraction coefficient |
---|
1056 | !!---------------------------------------------------------------------- |
---|
1057 | ! |
---|
1058 | ! Averages over depth of boundary layer |
---|
1059 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1060 | pt(ji,jj) = 0.0_wp |
---|
1061 | ps(ji,jj) = 0.0_wp |
---|
1062 | pu(ji,jj) = 0.0_wp |
---|
1063 | pv(ji,jj) = 0.0_wp |
---|
1064 | END_2D |
---|
1065 | zthick(:,:) = epsln |
---|
1066 | jkflt = jpk |
---|
1067 | jkmax = 0 |
---|
1068 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1069 | IF ( knlev(ji,jj) < jkflt ) jkflt = knlev(ji,jj) |
---|
1070 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
1071 | END_2D |
---|
1072 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkflt ) ! Upper, flat part of layer |
---|
1073 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
1074 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
1075 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
1076 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1077 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
1078 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
1079 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1080 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
1081 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
1082 | END_3D |
---|
1083 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jkflt+1, jkmax ) ! Lower, non-flat part of layer |
---|
1084 | IF ( knlev(ji,jj) >= jk ) THEN |
---|
1085 | zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm) |
---|
1086 | pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm) |
---|
1087 | ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm) |
---|
1088 | pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1089 | & ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / & |
---|
1090 | & MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
1091 | pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * & |
---|
1092 | & ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / & |
---|
1093 | & MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
1094 | END IF |
---|
1095 | END_3D |
---|
1096 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1097 | pt(ji,jj) = pt(ji,jj) / zthick(ji,jj) |
---|
1098 | ps(ji,jj) = ps(ji,jj) / zthick(ji,jj) |
---|
1099 | pu(ji,jj) = pu(ji,jj) / zthick(ji,jj) |
---|
1100 | pv(ji,jj) = pv(ji,jj) / zthick(ji,jj) |
---|
1101 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
1102 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1103 | pb(ji,jj) = grav * zthermal * pt(ji,jj) - grav * zbeta * ps(ji,jj) |
---|
1104 | END_2D |
---|
1105 | ! |
---|
1106 | ! Differences between vertical averages and values at an external layer |
---|
1107 | IF ( PRESENT( kp_ext ) ) THEN |
---|
1108 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1109 | ibld_ext = knlev(ji,jj) + kp_ext(ji,jj) |
---|
1110 | IF ( ibld_ext <= mbkt(ji,jj)-1 ) THEN ! ag 09/03 |
---|
1111 | ! Two external levels are available |
---|
1112 | pdt(ji,jj) = pt(ji,jj) - ts(ji,jj,ibld_ext,jp_tem,Kmm) |
---|
1113 | pds(ji,jj) = ps(ji,jj) - ts(ji,jj,ibld_ext,jp_sal,Kmm) |
---|
1114 | pdu(ji,jj) = pu(ji,jj) - ( uu(ji,jj,ibld_ext,Kbb) + uu(ji-1,jj,ibld_ext,Kbb ) ) / & |
---|
1115 | & MAX(1.0_wp , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
---|
1116 | pdv(ji,jj) = pv(ji,jj) - ( vv(ji,jj,ibld_ext,Kbb) + vv(ji,jj-1,ibld_ext,Kbb ) ) / & |
---|
1117 | & MAX(1.0_wp , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
---|
1118 | zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1?? |
---|
1119 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1120 | pdb(ji,jj) = grav * zthermal * pdt(ji,jj) - grav * zbeta * pds(ji,jj) |
---|
1121 | ELSE |
---|
1122 | pdt(ji,jj) = 0.0_wp |
---|
1123 | pds(ji,jj) = 0.0_wp |
---|
1124 | pdu(ji,jj) = 0.0_wp |
---|
1125 | pdv(ji,jj) = 0.0_wp |
---|
1126 | pdb(ji,jj) = 0.0_wp |
---|
1127 | ENDIF |
---|
1128 | END_2D |
---|
1129 | END IF |
---|
1130 | ! |
---|
1131 | END SUBROUTINE zdf_osm_vertical_average |
---|
1132 | |
---|
1133 | SUBROUTINE zdf_osm_velocity_rotation_2d( pu, pv, fwd ) |
---|
1134 | !!--------------------------------------------------------------------- |
---|
1135 | !! *** ROUTINE zdf_velocity_rotation_2d *** |
---|
1136 | !! |
---|
1137 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
1138 | !! pv (2d) |
---|
1139 | !! |
---|
1140 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
1141 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
1142 | !! ssin_wind |
---|
1143 | !! |
---|
1144 | !!---------------------------------------------------------------------- |
---|
1145 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: pu, pv ! Components of current |
---|
1146 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
1147 | !! |
---|
1148 | INTEGER :: ji, jj ! Loop indices |
---|
1149 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
1150 | !!---------------------------------------------------------------------- |
---|
1151 | ! |
---|
1152 | zfwd = 1.0_wp |
---|
1153 | IF( PRESENT(fwd) .AND. ( .NOT. fwd ) ) zfwd = -1.0_wp |
---|
1154 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1155 | ztmp = pu(ji,jj) |
---|
1156 | pu(ji,jj) = pu(ji,jj) * scos_wind(ji,jj) + zfwd * pv(ji,jj) * ssin_wind(ji,jj) |
---|
1157 | pv(ji,jj) = pv(ji,jj) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
1158 | END_2D |
---|
1159 | ! |
---|
1160 | END SUBROUTINE zdf_osm_velocity_rotation_2d |
---|
1161 | |
---|
1162 | SUBROUTINE zdf_osm_velocity_rotation_3d( pu, pv, fwd, ktop, knlev ) |
---|
1163 | !!--------------------------------------------------------------------- |
---|
1164 | !! *** ROUTINE zdf_velocity_rotation_3d *** |
---|
1165 | !! |
---|
1166 | !! ** Purpose : Rotates frame of reference of velocity components pu and |
---|
1167 | !! pv (3d) |
---|
1168 | !! |
---|
1169 | !! ** Method : The velocity components are rotated into (fwd=.TRUE.) or |
---|
1170 | !! from (fwd=.FALSE.) the frame specified by scos_wind and |
---|
1171 | !! ssin_wind; optionally, the rotation can be restricted at |
---|
1172 | !! each water column to span from the a minimum index ktop to |
---|
1173 | !! the depth index specified in array knlev |
---|
1174 | !! |
---|
1175 | !!---------------------------------------------------------------------- |
---|
1176 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pu, pv ! Components of current |
---|
1177 | LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation |
---|
1178 | INTEGER, OPTIONAL, INTENT(in ) :: ktop ! Minimum depth index |
---|
1179 | INTEGER, OPTIONAL, INTENT(in ), DIMENSION(A2D(nn_hls-1)) :: knlev ! Array of maximum depth indices |
---|
1180 | !! |
---|
1181 | INTEGER :: ji, jj, jk, jktop, jkmax ! Loop indices |
---|
1182 | REAL(wp) :: ztmp, zfwd ! Auxiliary variables |
---|
1183 | LOGICAL :: llkbot ! Auxiliary variable |
---|
1184 | !!---------------------------------------------------------------------- |
---|
1185 | ! |
---|
1186 | zfwd = 1.0_wp |
---|
1187 | IF( PRESENT(fwd) .AND. ( .NOT. fwd ) ) zfwd = -1.0_wp |
---|
1188 | jktop = 1 |
---|
1189 | IF( PRESENT(ktop) ) jktop = ktop |
---|
1190 | IF( PRESENT(knlev) ) THEN |
---|
1191 | jkmax = 0 |
---|
1192 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1193 | IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj) |
---|
1194 | END_2D |
---|
1195 | llkbot = .FALSE. |
---|
1196 | ELSE |
---|
1197 | jkmax = jpk |
---|
1198 | llkbot = .TRUE. |
---|
1199 | END IF |
---|
1200 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jktop, jkmax ) |
---|
1201 | IF ( llkbot .OR. knlev(ji,jj) >= jk ) THEN |
---|
1202 | ztmp = pu(ji,jj,jk) |
---|
1203 | pu(ji,jj,jk) = pu(ji,jj,jk) * scos_wind(ji,jj) + zfwd * pv(ji,jj,jk) * ssin_wind(ji,jj) |
---|
1204 | pv(ji,jj,jk) = pv(ji,jj,jk) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj) |
---|
1205 | END IF |
---|
1206 | END_3D |
---|
1207 | ! |
---|
1208 | END SUBROUTINE zdf_osm_velocity_rotation_3d |
---|
1209 | |
---|
1210 | SUBROUTINE zdf_osm_osbl_state( Kmm, pwb_ent, pwb_min, pshear, phbl, & |
---|
1211 | & phml, pdh ) |
---|
1212 | !!--------------------------------------------------------------------- |
---|
1213 | !! *** ROUTINE zdf_osm_osbl_state *** |
---|
1214 | !! |
---|
1215 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, |
---|
1216 | !! shear/ noshear. Also determines shear production, |
---|
1217 | !! entrainment buoyancy flux and interfacial Richardson |
---|
1218 | !! number |
---|
1219 | !! |
---|
1220 | !! ** Method : |
---|
1221 | !! |
---|
1222 | !!---------------------------------------------------------------------- |
---|
1223 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1224 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_ent ! Buoyancy fluxes at base |
---|
1225 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_min ! of well-mixed layer |
---|
1226 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pshear ! Production of TKE due to shear across the pycnocline |
---|
1227 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
1228 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth |
---|
1229 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
1230 | !! |
---|
1231 | INTEGER :: jj, ji ! Loop indices |
---|
1232 | !! |
---|
1233 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zekman |
---|
1234 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zri_p, zri_b ! Richardson numbers |
---|
1235 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
---|
1236 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
1237 | !! |
---|
1238 | REAL(wp), PARAMETER :: pp_a_shr = 0.4_wp, pp_b_shr = 6.5_wp, pp_a_wb_s = 0.8_wp |
---|
1239 | REAL(wp), PARAMETER :: pp_alpha_c = 0.2_wp, pp_alpha_lc = 0.03_wp |
---|
1240 | REAL(wp), PARAMETER :: pp_alpha_ls = 0.06_wp, pp_alpha_s = 0.15_wp |
---|
1241 | REAL(wp), PARAMETER :: pp_ri_p_thresh = 27.0_wp |
---|
1242 | REAL(wp), PARAMETER :: pp_ri_c = 0.25_wp |
---|
1243 | REAL(wp), PARAMETER :: pp_ek = 4.0_wp |
---|
1244 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1245 | !!---------------------------------------------------------------------- |
---|
1246 | ! |
---|
1247 | ! Initialise arrays |
---|
1248 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1249 | l_conv(ji,jj) = .FALSE. |
---|
1250 | l_shear(ji,jj) = .FALSE. |
---|
1251 | n_ddh(ji,jj) = 1 |
---|
1252 | END_2D |
---|
1253 | ! Initialise INTENT( out) arrays |
---|
1254 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1255 | pwb_ent(ji,jj) = pp_large |
---|
1256 | pwb_min(ji,jj) = pp_large |
---|
1257 | END_2D |
---|
1258 | ! |
---|
1259 | ! Determins stability and set flag l_conv |
---|
1260 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1261 | IF ( shol(ji,jj) < 0.0_wp ) THEN |
---|
1262 | l_conv(ji,jj) = .TRUE. |
---|
1263 | ELSE |
---|
1264 | l_conv(ji,jj) = .FALSE. |
---|
1265 | ENDIF |
---|
1266 | END_2D |
---|
1267 | ! |
---|
1268 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1269 | pshear(ji,jj) = 0.0_wp |
---|
1270 | END_2D |
---|
1271 | zekman(:,:) = EXP( -1.0_wp * pp_ek * ABS( ff_t(A2D(nn_hls-1)) ) * phbl(A2D(nn_hls-1)) / & |
---|
1272 | & MAX( sustar(A2D(nn_hls-1)), 1.e-8 ) ) |
---|
1273 | ! |
---|
1274 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1275 | IF ( l_conv(ji,jj) ) THEN |
---|
1276 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
1277 | zri_p(ji,jj) = MAX ( SQRT( av_db_bl(ji,jj) * pdh(ji,jj) / MAX( av_du_bl(ji,jj)**2 + av_dv_bl(ji,jj)**2, & |
---|
1278 | & 1e-8_wp ) ) * ( phbl(ji,jj) / pdh(ji,jj) ) * & |
---|
1279 | & ( svstr(ji,jj) / MAX( sustar(ji,jj), 1e-6_wp ) )**2 / & |
---|
1280 | & MAX( zekman(ji,jj), 1.0e-6_wp ), 5.0_wp ) |
---|
1281 | IF ( ff_t(ji,jj) >= 0.0_wp ) THEN ! Northern hemisphere |
---|
1282 | zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + & |
---|
1283 | & MAX( -1.0_wp * av_dv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
1284 | ELSE ! Southern hemisphere |
---|
1285 | zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + & |
---|
1286 | & MAX( av_dv_ml(ji,jj), 1e-5_wp)**2 ) |
---|
1287 | END IF |
---|
1288 | pshear(ji,jj) = pp_a_shr * zekman(ji,jj) * & |
---|
1289 | & ( MAX( sustar(ji,jj)**2 * av_du_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) + & |
---|
1290 | & pp_b_shr * MAX( -1.0_wp * ff_t(ji,jj) * sustke(ji,jj) * dstokes(ji,jj) * & |
---|
1291 | & av_dv_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) ) |
---|
1292 | ! Stability dependence |
---|
1293 | pshear(ji,jj) = pshear(ji,jj) * EXP( -0.75_wp * MAX( 0.0_wp, ( zri_b(ji,jj) - pp_ri_c ) / pp_ri_c ) ) |
---|
1294 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1295 | ! Test ensures n_ddh=0 is not selected. Change to zri_p<27 when ! |
---|
1296 | ! full code available ! |
---|
1297 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1298 | IF ( pshear(ji,jj) > 1e-10 ) THEN |
---|
1299 | IF ( zri_p(ji,jj) < pp_ri_p_thresh .AND. & |
---|
1300 | & MIN( hu(ji,jj,Kmm), hu(ji-1,jj,Kmm), hv(ji,jj,Kmm), hv(ji,jj-1,Kmm) ) > 100.0_wp ) THEN |
---|
1301 | ! Growing shear layer |
---|
1302 | n_ddh(ji,jj) = 0 |
---|
1303 | l_shear(ji,jj) = .TRUE. |
---|
1304 | ELSE |
---|
1305 | n_ddh(ji,jj) = 1 |
---|
1306 | ! IF ( zri_b <= 1.5 .and. pshear(ji,jj) > 0._wp ) THEN |
---|
1307 | ! Shear production large enough to determine layer charcteristics, but can't maintain a shear layer |
---|
1308 | l_shear(ji,jj) = .TRUE. |
---|
1309 | ! ELSE |
---|
1310 | END IF |
---|
1311 | ELSE |
---|
1312 | n_ddh(ji,jj) = 2 |
---|
1313 | l_shear(ji,jj) = .FALSE. |
---|
1314 | END IF |
---|
1315 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline |
---|
1316 | ! pshear(ji,jj) = 0.5 * pshear(ji,jj) |
---|
1317 | ! l_shear(ji,jj) = .FALSE. |
---|
1318 | ! ENDIF |
---|
1319 | ELSE ! av_db_bl test, note pshear set to zero |
---|
1320 | n_ddh(ji,jj) = 2 |
---|
1321 | l_shear(ji,jj) = .FALSE. |
---|
1322 | ENDIF |
---|
1323 | ENDIF |
---|
1324 | END_2D |
---|
1325 | ! |
---|
1326 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
---|
1327 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1328 | IF ( l_conv(ji,jj) ) THEN |
---|
1329 | zwcor = ABS( ff_t(ji,jj) ) * phbl(ji,jj) + epsln |
---|
1330 | zrf_conv = TANH( ( swstrc(ji,jj) / zwcor )**0.69_wp ) |
---|
1331 | zrf_shear = TANH( ( sustar(ji,jj) / zwcor )**0.69_wp ) |
---|
1332 | zrf_langmuir = TANH( ( swstrl(ji,jj) / zwcor )**0.69_wp ) |
---|
1333 | IF ( nn_osm_SD_reduce > 0 ) THEN |
---|
1334 | ! Effective Stokes drift already reduced from surface value |
---|
1335 | zr_stokes = 1.0_wp |
---|
1336 | ELSE |
---|
1337 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
1338 | ! requires further reduction where BL is deep |
---|
1339 | zr_stokes = 1.0 - EXP( -25.0_wp * dstokes(ji,jj) / hbl(ji,jj) * ( 1.0_wp + 4.0_wp * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
1340 | END IF |
---|
1341 | pwb_ent(ji,jj) = -2.0_wp * pp_alpha_c * zrf_conv * swbav(ji,jj) - & |
---|
1342 | & pp_alpha_s * zrf_shear * sustar(ji,jj)**3 / phml(ji,jj) + & |
---|
1343 | & zr_stokes * ( pp_alpha_s * EXP( -1.5_wp * sla(ji,jj) ) * zrf_shear * sustar(ji,jj)**3 - & |
---|
1344 | & zrf_langmuir * pp_alpha_lc * swstrl(ji,jj)**3 ) / phml(ji,jj) |
---|
1345 | ENDIF |
---|
1346 | END_2D |
---|
1347 | ! |
---|
1348 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1349 | IF ( l_shear(ji,jj) ) THEN |
---|
1350 | IF ( l_conv(ji,jj) ) THEN |
---|
1351 | ! Unstable OSBL |
---|
1352 | zwb_shr = -1.0_wp * pp_a_wb_s * zri_b(ji,jj) * pshear(ji,jj) |
---|
1353 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
1354 | ! Developing shear layer, additional shear production possible. |
---|
1355 | |
---|
1356 | ! pshear_u = MAX( zustar(ji,jj)**2 * MAX( av_du_ml(ji,jj), 0._wp ) / phbl(ji,jj), 0._wp ) |
---|
1357 | ! pshear(ji,jj) = pshear(ji,jj) + pshear_u * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1.d0 )**2 ) |
---|
1358 | ! pshear(ji,jj) = MIN( pshear(ji,jj), pshear_u ) |
---|
1359 | |
---|
1360 | ! zwb_shr = zwb_shr - 0.25 * MAX ( pshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1._wp )**2 ) |
---|
1361 | ! zwb_shr = MAX( zwb_shr, -0.25 * pshear_u ) |
---|
1362 | ENDIF |
---|
1363 | pwb_ent(ji,jj) = pwb_ent(ji,jj) + zwb_shr |
---|
1364 | ! pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * zwb0(ji,jj) |
---|
1365 | ELSE ! IF ( l_conv ) THEN - ENDIF |
---|
1366 | ! Stable OSBL - shear production not coded for first attempt. |
---|
1367 | ENDIF ! l_conv |
---|
1368 | END IF ! l_shear |
---|
1369 | IF ( l_conv(ji,jj) ) THEN |
---|
1370 | ! Unstable OSBL |
---|
1371 | pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * 2.0_wp * swbav(ji,jj) |
---|
1372 | END IF ! l_conv |
---|
1373 | END_2D |
---|
1374 | ! |
---|
1375 | END SUBROUTINE zdf_osm_osbl_state |
---|
1376 | |
---|
1377 | SUBROUTINE zdf_osm_external_gradients( Kmm, kbase, pdtdz, pdsdz, pdbdz ) |
---|
1378 | !!--------------------------------------------------------------------- |
---|
1379 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
1380 | !! |
---|
1381 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
1382 | !! |
---|
1383 | !! ** Method : Uses nbld and ibld_ext to determine levels to calculate the gradient. |
---|
1384 | !! |
---|
1385 | !!---------------------------------------------------------------------- |
---|
1386 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1387 | INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kbase ! OSBL base layer index |
---|
1388 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdtdz, pdsdz ! External gradients of temperature, salinity |
---|
1389 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdbdz ! and buoyancy |
---|
1390 | !! |
---|
1391 | INTEGER :: ji, jj, jkb, jkb1 |
---|
1392 | REAL(wp) :: zthermal, zbeta |
---|
1393 | !! |
---|
1394 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1395 | !!---------------------------------------------------------------------- |
---|
1396 | ! |
---|
1397 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1398 | pdtdz(ji,jj) = pp_large |
---|
1399 | pdsdz(ji,jj) = pp_large |
---|
1400 | pdbdz(ji,jj) = pp_large |
---|
1401 | END_2D |
---|
1402 | ! |
---|
1403 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1404 | IF ( kbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
---|
1405 | zthermal = rab_n(ji,jj,1,jp_tem) ! Ideally use nbld not 1?? |
---|
1406 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1407 | jkb = kbase(ji,jj) |
---|
1408 | jkb1 = MIN( jkb + 1, mbkt(ji,jj) ) |
---|
1409 | pdtdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_tem,Kmm) - ts(ji,jj,jkb,jp_tem,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
1410 | pdsdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_sal,Kmm) - ts(ji,jj,jkb,jp_sal,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) |
---|
1411 | pdbdz(ji,jj) = grav * zthermal * pdtdz(ji,jj) - grav * zbeta * pdsdz(ji,jj) |
---|
1412 | ELSE |
---|
1413 | pdtdz(ji,jj) = 0.0_wp |
---|
1414 | pdsdz(ji,jj) = 0.0_wp |
---|
1415 | pdbdz(ji,jj) = 0.0_wp |
---|
1416 | END IF |
---|
1417 | END_2D |
---|
1418 | ! |
---|
1419 | END SUBROUTINE zdf_osm_external_gradients |
---|
1420 | |
---|
1421 | SUBROUTINE zdf_osm_calculate_dhdt( pdhdt, phbl, pdh, pwb_ent, pwb_min, & |
---|
1422 | & pdbdz_bl_ext, pwb_fk_b, pwb_fk, pvel_mle ) |
---|
1423 | !!--------------------------------------------------------------------- |
---|
1424 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
1425 | !! |
---|
1426 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
1427 | !! |
---|
1428 | !! ** Method : |
---|
1429 | !! |
---|
1430 | !!---------------------------------------------------------------------- |
---|
1431 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdhdt ! Rate of change of hbl |
---|
1432 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
1433 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
1434 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1435 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_min |
---|
1436 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
1437 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
1438 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk ! Max MLE buoyancy flux |
---|
1439 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pvel_mle ! Vvelocity scale for dhdt with stable ML and FK |
---|
1440 | !! |
---|
1441 | INTEGER :: jj, ji |
---|
1442 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi, zari |
---|
1443 | REAL(wp) :: zvel_max, zddhdt |
---|
1444 | !! |
---|
1445 | REAL(wp), PARAMETER :: pp_alpha_b = 0.3_wp |
---|
1446 | REAL(wp), PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
1447 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1448 | !!---------------------------------------------------------------------- |
---|
1449 | ! |
---|
1450 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1451 | pdhdt(ji,jj) = pp_large |
---|
1452 | pwb_fk_b(ji,jj) = pp_large |
---|
1453 | END_2D |
---|
1454 | ! |
---|
1455 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1456 | ! |
---|
1457 | IF ( l_shear(ji,jj) ) THEN |
---|
1458 | ! |
---|
1459 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
1460 | ! |
---|
1461 | IF ( ln_osm_mle ) THEN |
---|
1462 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
1463 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
1464 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj) )**3 ) ) |
---|
1465 | ELSE |
---|
1466 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
1467 | ENDIF |
---|
1468 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1469 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
1470 | ! ! entrainment > restratification |
---|
1471 | IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN |
---|
1472 | zgamma_b_nd = MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) * pdh(ji,jj) / & |
---|
1473 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1474 | zpsi = ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1475 | & ( swb0(ji,jj) - MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) ) * pdh(ji,jj) / & |
---|
1476 | & phbl(ji,jj) |
---|
1477 | zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1478 | & ( pdh(ji,jj) / phbl(ji,jj) + zgamma_b_nd ) * & |
---|
1479 | & MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) |
---|
1480 | zpsi = pp_alpha_b * MAX( zpsi, 0.0_wp ) |
---|
1481 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
1482 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) + & |
---|
1483 | & zpsi / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1484 | IF ( n_ddh(ji,jj) == 1 ) THEN |
---|
1485 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
1486 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
1487 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1488 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * svstr(ji,jj)**2, & |
---|
1489 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
1490 | ELSE |
---|
1491 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
1492 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1493 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * swstrc(ji,jj)**2, & |
---|
1494 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
1495 | ENDIF |
---|
1496 | ! Relaxation to dh_ref = zari * hbl |
---|
1497 | zddhdt = -1.0_wp * pp_ddh_2 * ( 1.0_wp - pdh(ji,jj) / ( zari * phbl(ji,jj) ) ) * pwb_ent(ji,jj) / & |
---|
1498 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1499 | ELSE IF ( n_ddh(ji,jj) == 0 ) THEN ! Growing shear layer |
---|
1500 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1501 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1502 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8_wp ) ) * zddhdt |
---|
1503 | ELSE |
---|
1504 | zddhdt = 0.0_wp |
---|
1505 | ENDIF ! n_ddh |
---|
1506 | pdhdt(ji,jj) = pdhdt(ji,jj) + pp_alpha_b * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & |
---|
1507 | & av_db_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / & |
---|
1508 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1509 | ELSE ! av_db_bl >0 |
---|
1510 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
1511 | ENDIF |
---|
1512 | ELSE ! pwb_min + 2*pwb_fk_b < 0 |
---|
1513 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
1514 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
1515 | ENDIF |
---|
1516 | ELSE ! Fox-Kemper not used. |
---|
1517 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * & |
---|
1518 | & rn_Dt / hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1519 | & MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
1520 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1521 | ! added ajgn 23 July as temporay fix |
---|
1522 | ENDIF ! ln_osm_mle |
---|
1523 | ! |
---|
1524 | ELSE ! l_conv - Stable |
---|
1525 | ! |
---|
1526 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
1527 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
1528 | zpert = 2.0_wp * ( 1.0_wp + 0.0_wp * 2.0_wp * svstr(ji,jj) * rn_Dt / hbl(ji,jj) ) * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
1529 | ELSE |
---|
1530 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) ) |
---|
1531 | ENDIF |
---|
1532 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX( zpert, epsln ) |
---|
1533 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
1534 | ! |
---|
1535 | ENDIF ! l_conv |
---|
1536 | ! |
---|
1537 | ELSE ! l_shear |
---|
1538 | ! |
---|
1539 | IF ( l_conv(ji,jj) ) THEN ! Convective |
---|
1540 | ! |
---|
1541 | IF ( ln_osm_mle ) THEN |
---|
1542 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL |
---|
1543 | pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * & |
---|
1544 | ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & |
---|
1545 | & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
1546 | ELSE |
---|
1547 | pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
1548 | ENDIF |
---|
1549 | zvel_max = ( swstrl(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1550 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, |
---|
1551 | ! ! entrainment > restratification |
---|
1552 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
1553 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & |
---|
1554 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1555 | ELSE |
---|
1556 | pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) |
---|
1557 | ENDIF |
---|
1558 | ELSE ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
1559 | pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) |
---|
1560 | ENDIF |
---|
1561 | ELSE ! Fox-Kemper not used |
---|
1562 | zvel_max = -1.0_wp * pwb_ent(ji,jj) / MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) |
---|
1563 | pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) |
---|
1564 | ! added ajgn 23 July as temporay fix |
---|
1565 | ENDIF ! ln_osm_mle |
---|
1566 | ! |
---|
1567 | ELSE ! Stable |
---|
1568 | ! |
---|
1569 | pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) |
---|
1570 | IF ( pdhdt(ji,jj) < 0.0_wp ) THEN |
---|
1571 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
1572 | zpert = 2.0_wp * svstr(ji,jj)**2 / hbl(ji,jj) |
---|
1573 | ELSE |
---|
1574 | zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) ) |
---|
1575 | ENDIF |
---|
1576 | pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX(zpert, epsln) |
---|
1577 | pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) |
---|
1578 | ! |
---|
1579 | ENDIF ! l_conv |
---|
1580 | ! |
---|
1581 | ENDIF ! l_shear |
---|
1582 | ! |
---|
1583 | END_2D |
---|
1584 | ! |
---|
1585 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
1586 | |
---|
1587 | SUBROUTINE zdf_osm_timestep_hbl( Kmm, pdhdt, phbl, phbl_t, pwb_ent, & |
---|
1588 | & pwb_fk_b ) |
---|
1589 | !!--------------------------------------------------------------------- |
---|
1590 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
1591 | !! |
---|
1592 | !! ** Purpose : Increments hbl. |
---|
1593 | !! |
---|
1594 | !! ** Method : If the change in hbl exceeds one model level the change is |
---|
1595 | !! is calculated by moving down the grid, changing the |
---|
1596 | !! buoyancy jump. This is to ensure that the change in hbl |
---|
1597 | !! does not overshoot a stable layer. |
---|
1598 | !! |
---|
1599 | !!---------------------------------------------------------------------- |
---|
1600 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1601 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdhdt ! Rates of change of hbl |
---|
1602 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phbl ! BL depth |
---|
1603 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl_t ! BL depth |
---|
1604 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1605 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
1606 | !! |
---|
1607 | INTEGER :: jk, jj, ji, jm |
---|
1608 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
1609 | REAL(wp) :: zthermal, zbeta |
---|
1610 | !!---------------------------------------------------------------------- |
---|
1611 | ! |
---|
1612 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1613 | IF ( nbld(ji,jj) - nmld(ji,jj) > 1 ) THEN |
---|
1614 | ! |
---|
1615 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
1616 | ! |
---|
1617 | zhbl_s = hbl(ji,jj) |
---|
1618 | jm = nmld(ji,jj) |
---|
1619 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
1620 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
1621 | ! |
---|
1622 | IF ( l_conv(ji,jj) ) THEN ! Unstable |
---|
1623 | ! |
---|
1624 | IF( ln_osm_mle ) THEN |
---|
1625 | zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1626 | ELSE |
---|
1627 | zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * rn_Dt / & |
---|
1628 | & hbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1629 | & ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
1630 | ENDIF |
---|
1631 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
1632 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
1633 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + zvel_max |
---|
1634 | ! |
---|
1635 | IF ( ln_osm_mle ) THEN |
---|
1636 | zhbl_s = zhbl_s + MIN( rn_Dt * ( ( -1.0_wp * pwb_ent(ji,jj) - 2.0_wp * pwb_fk_b(ji,jj) ) / zdb ) / & |
---|
1637 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
1638 | ELSE |
---|
1639 | zhbl_s = zhbl_s + MIN( rn_Dt * ( -1.0_wp * pwb_ent(ji,jj) / zdb ) / & |
---|
1640 | & REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) |
---|
1641 | ENDIF |
---|
1642 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
1643 | IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN |
---|
1644 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1, Kmm ) - depth_tol ) |
---|
1645 | l_pyc(ji,jj) = .FALSE. |
---|
1646 | ENDIF |
---|
1647 | IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1 |
---|
1648 | END DO |
---|
1649 | hbl(ji,jj) = zhbl_s |
---|
1650 | nbld(ji,jj) = jm |
---|
1651 | ELSE ! Stable |
---|
1652 | DO jk = nmld(ji,jj), nbld(ji,jj) |
---|
1653 | zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & |
---|
1654 | & zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + & |
---|
1655 | & 2.0_wp * svstr(ji,jj)**2 / zhbl_s |
---|
1656 | ! |
---|
1657 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
1658 | shol(ji,jj) = -1.0_wp * zhbl_s / ( ( svstr(ji,jj)**3 + epsln ) / swbav(ji,jj) ) |
---|
1659 | pdhdt(ji,jj) = -1.0_wp * ( swbav(ji,jj) - 0.04_wp / 2.0_wp * swstrl(ji,jj)**3 / zhbl_s - & |
---|
1660 | & 0.15_wp / 2.0_wp * ( 1.0_wp - EXP( -1.5_wp * sla(ji,jj) ) ) * & |
---|
1661 | & sustar(ji,jj)**3 / zhbl_s ) * & |
---|
1662 | & ( 0.725_wp + 0.225_wp * EXP( -7.5_wp * shol(ji,jj) ) ) |
---|
1663 | pdhdt(ji,jj) = pdhdt(ji,jj) + swbav(ji,jj) |
---|
1664 | zhbl_s = zhbl_s + MIN( pdhdt(ji,jj) / zdb * rn_Dt / REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), & |
---|
1665 | & e3w(ji,jj,jm,Kmm) ) |
---|
1666 | |
---|
1667 | ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) |
---|
1668 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
---|
1669 | zhbl_s = MIN( zhbl_s, gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - depth_tol ) |
---|
1670 | l_pyc(ji,jj) = .FALSE. |
---|
1671 | ENDIF |
---|
1672 | IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1 |
---|
1673 | END DO |
---|
1674 | ENDIF ! IF ( l_conv ) |
---|
1675 | hbl(ji,jj) = MAX( zhbl_s, gdepw(ji,jj,4,Kmm) ) |
---|
1676 | nbld(ji,jj) = MAX( jm, 4 ) |
---|
1677 | ELSE |
---|
1678 | ! change zero or one model level. |
---|
1679 | hbl(ji,jj) = MAX( phbl_t(ji,jj), gdepw(ji,jj,4,Kmm) ) |
---|
1680 | ENDIF |
---|
1681 | phbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm) |
---|
1682 | END_2D |
---|
1683 | ! |
---|
1684 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
1685 | |
---|
1686 | SUBROUTINE zdf_osm_pycnocline_thickness( Kmm, pdh, phml, pdhdt, phbl, & |
---|
1687 | & pwb_ent, pdbdz_bl_ext, pwb_fk_b ) |
---|
1688 | !!--------------------------------------------------------------------- |
---|
1689 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
1690 | !! |
---|
1691 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
1692 | !! |
---|
1693 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
1694 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
1695 | !! value. The time change is calculated assuming the |
---|
1696 | !! thickness relaxes exponentially. This is done to deal |
---|
1697 | !! with large timesteps. |
---|
1698 | !! |
---|
1699 | !!---------------------------------------------------------------------- |
---|
1700 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1701 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdh ! Pycnocline thickness |
---|
1702 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phml ! ML depth |
---|
1703 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
1704 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
1705 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1706 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
1707 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
1708 | !! |
---|
1709 | INTEGER :: jj, ji |
---|
1710 | INTEGER :: inhml |
---|
1711 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max |
---|
1712 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
1713 | !! |
---|
1714 | REAL, PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth |
---|
1715 | !!---------------------------------------------------------------------- |
---|
1716 | ! |
---|
1717 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1718 | ! |
---|
1719 | IF ( l_shear(ji,jj) ) THEN |
---|
1720 | ! |
---|
1721 | IF ( l_conv(ji,jj) ) THEN |
---|
1722 | ! |
---|
1723 | IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN |
---|
1724 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
1725 | zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
1726 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
---|
1727 | zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & |
---|
1728 | & ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15 ) ) |
---|
1729 | zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8 ) ) * zddhdt |
---|
1730 | ! Maximum limit for how thick the shear layer can grow relative to the thickness of the boundary layer |
---|
1731 | dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_Dt, 0.625_wp * hbl(ji,jj) ) |
---|
1732 | ELSE ! Need to recalculate because hbl has been updated |
---|
1733 | IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN |
---|
1734 | ztmp = svstr(ji,jj) |
---|
1735 | ELSE |
---|
1736 | ztmp = swstrc(ji,jj) |
---|
1737 | END IF |
---|
1738 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1739 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2, & |
---|
1740 | & 1e-12_wp ) ) ), 0.2_wp ) |
---|
1741 | ztau = MAX( av_db_bl(ji,jj) * ( zari * hbl(ji,jj) ) / & |
---|
1742 | & ( pp_ddh_2 * MAX( -1.0_wp * pwb_ent(ji,jj), 1e-12_wp ) ), 2.0_wp * rn_Dt ) |
---|
1743 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
1744 | & zari * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
1745 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * phbl(ji,jj) |
---|
1746 | END IF |
---|
1747 | ELSE |
---|
1748 | ztau = MAX( MAX( hbl(ji,jj) / ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln), 2.0_wp * rn_Dt ) |
---|
1749 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + & |
---|
1750 | & 0.2_wp * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
1751 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2_wp * hbl(ji,jj) |
---|
1752 | END IF |
---|
1753 | ! |
---|
1754 | ELSE ! l_conv |
---|
1755 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
---|
1756 | ztau = hbl(ji,jj) / MAX(svstr(ji,jj), epsln) |
---|
1757 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
1758 | ! Boundary layer deepening |
---|
1759 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
1760 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions |
---|
1761 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp, 0.2_wp ) |
---|
1762 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
1763 | ELSE |
---|
1764 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
1765 | ENDIF |
---|
1766 | ELSE ! IF(dhdt < 0) |
---|
1767 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
1768 | ENDIF ! IF (dhdt >= 0) |
---|
1769 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
1770 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
1771 | ! ! rapid collapse |
---|
1772 | ENDIF |
---|
1773 | ! |
---|
1774 | ELSE ! l_shear = .FALSE., calculate ddhdt here |
---|
1775 | ! |
---|
1776 | IF ( l_conv(ji,jj) ) THEN |
---|
1777 | ! |
---|
1778 | IF( ln_osm_mle ) THEN |
---|
1779 | IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening. Note wb_fk_b is zero if |
---|
1780 | ! ! ln_osm_mle=F |
---|
1781 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
1782 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
1783 | ztmp = svstr(ji,jj) |
---|
1784 | ELSE ! Unstable |
---|
1785 | ztmp = swstrc(ji,jj) |
---|
1786 | END IF |
---|
1787 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
1788 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1789 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
1790 | ELSE |
---|
1791 | zari = 0.2_wp |
---|
1792 | END IF |
---|
1793 | ELSE |
---|
1794 | zari = 0.2_wp |
---|
1795 | END IF |
---|
1796 | ztau = 0.2_wp * hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
1797 | zdh_ref = zari * hbl(ji,jj) |
---|
1798 | ELSE ! ln_osm_mle |
---|
1799 | IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN |
---|
1800 | IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln ) )**3 <= 0.5_wp ) THEN ! Near neutral stability |
---|
1801 | ztmp = svstr(ji,jj) |
---|
1802 | ELSE ! Unstable |
---|
1803 | ztmp = swstrc(ji,jj) |
---|
1804 | END IF |
---|
1805 | zari = MIN( 1.5_wp * av_db_bl(ji,jj) / & |
---|
1806 | & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & |
---|
1807 | & av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp ) |
---|
1808 | ELSE |
---|
1809 | zari = 0.2_wp |
---|
1810 | END IF |
---|
1811 | ztau = hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird ) |
---|
1812 | zdh_ref = zari * hbl(ji,jj) |
---|
1813 | END IF ! ln_osm_mle |
---|
1814 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
1815 | ! IF ( pdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
1816 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
1817 | ! Alan: this hml is never defined or used |
---|
1818 | ELSE ! IF (l_conv) |
---|
1819 | ! |
---|
1820 | ztau = hbl(ji,jj) / MAX( svstr(ji,jj), epsln ) |
---|
1821 | IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here |
---|
1822 | ! Boundary layer deepening |
---|
1823 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
1824 | ! Pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
1825 | zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp , 0.2_wp ) |
---|
1826 | zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj) |
---|
1827 | ELSE |
---|
1828 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
1829 | END IF |
---|
1830 | ELSE ! IF(dhdt < 0) |
---|
1831 | zdh_ref = 0.2_wp * hbl(ji,jj) |
---|
1832 | END IF ! IF (dhdt >= 0) |
---|
1833 | dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) ) |
---|
1834 | IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for |
---|
1835 | ! ! rapid collapse |
---|
1836 | END IF ! IF (l_conv) |
---|
1837 | ! |
---|
1838 | END IF ! l_shear |
---|
1839 | ! |
---|
1840 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
1841 | inhml = MAX( INT( dh(ji,jj) / MAX( e3t(ji,jj,nbld(ji,jj)-1,Kmm), 1e-3_wp ) ), 1 ) |
---|
1842 | nmld(ji,jj) = MAX( nbld(ji,jj) - inhml, 3 ) |
---|
1843 | phml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm) |
---|
1844 | pdh(ji,jj) = phbl(ji,jj) - phml(ji,jj) |
---|
1845 | ! |
---|
1846 | END_2D |
---|
1847 | ! |
---|
1848 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
1849 | |
---|
1850 | SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, pdbdz, palpha, pdh, & |
---|
1851 | & phbl, pdbdz_bl_ext, phml, pdhdt ) |
---|
1852 | !!--------------------------------------------------------------------- |
---|
1853 | !! *** ROUTINE zdf_osm_pycnocline_buoyancy_profiles *** |
---|
1854 | !! |
---|
1855 | !! ** Purpose : calculate pycnocline buoyancy profiles |
---|
1856 | !! |
---|
1857 | !! ** Method : |
---|
1858 | !! |
---|
1859 | !!---------------------------------------------------------------------- |
---|
1860 | INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index |
---|
1861 | INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kp_ext ! External-level offsets |
---|
1862 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT( out) :: pdbdz ! Gradients in the pycnocline |
---|
1863 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: palpha |
---|
1864 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline thickness |
---|
1865 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
1866 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
1867 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth |
---|
1868 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! Rates of change of hbl |
---|
1869 | !! |
---|
1870 | INTEGER :: jk, jj, ji |
---|
1871 | REAL(wp) :: zbgrad |
---|
1872 | REAL(wp) :: zgamma_b_nd, znd |
---|
1873 | REAL(wp) :: zzeta_m |
---|
1874 | REAL(wp) :: ztmp ! Auxiliary variable |
---|
1875 | !! |
---|
1876 | REAL(wp), PARAMETER :: pp_gamma_b = 2.25_wp |
---|
1877 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
1878 | !!---------------------------------------------------------------------- |
---|
1879 | ! |
---|
1880 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1881 | pdbdz(ji,jj,:) = pp_large |
---|
1882 | palpha(ji,jj) = pp_large |
---|
1883 | END_2D |
---|
1884 | ! |
---|
1885 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
1886 | ! |
---|
1887 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
1888 | ! |
---|
1889 | IF ( l_conv(ji,jj) ) THEN ! Convective conditions |
---|
1890 | ! |
---|
1891 | IF ( l_pyc(ji,jj) ) THEN |
---|
1892 | ! |
---|
1893 | zzeta_m = 0.1_wp + 0.3_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
1894 | palpha(ji,jj) = 2.0_wp * ( 1.0_wp - ( 0.80_wp * zzeta_m + 0.5_wp * SQRT( 3.14159_wp / pp_gamma_b ) ) * & |
---|
1895 | & pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / av_db_ml(ji,jj) ) / & |
---|
1896 | & ( 0.723_wp + SQRT( 3.14159_wp / pp_gamma_b ) ) |
---|
1897 | palpha(ji,jj) = MAX( palpha(ji,jj), 0.0_wp ) |
---|
1898 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
1899 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1900 | ! Commented lines in this section are not needed in new code, once tested ! |
---|
1901 | ! can be removed ! |
---|
1902 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1903 | ! ztgrad = zalpha * av_dt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
---|
1904 | ! zsgrad = zalpha * av_ds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
---|
1905 | zbgrad = palpha(ji,jj) * av_db_ml(ji,jj) * ztmp + pdbdz_bl_ext(ji,jj) |
---|
1906 | zgamma_b_nd = pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / MAX( av_db_ml(ji,jj), epsln ) |
---|
1907 | DO jk = 2, nbld(ji,jj) |
---|
1908 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) * ztmp |
---|
1909 | IF ( znd <= zzeta_m ) THEN |
---|
1910 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * av_dt_ml(ji,jj) * ztmp * & |
---|
1911 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
1912 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * av_ds_ml(ji,jj) * ztmp * & |
---|
1913 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
1914 | pdbdz(ji,jj,jk) = pdbdz_bl_ext(ji,jj) + palpha(ji,jj) * av_db_ml(ji,jj) * ztmp * & |
---|
1915 | & EXP( -6.0_wp * ( znd -zzeta_m )**2 ) |
---|
1916 | ELSE |
---|
1917 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
1918 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
1919 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.0_wp * pp_gamma_b * ( znd - zzeta_m )**2 ) |
---|
1920 | END IF |
---|
1921 | END DO |
---|
1922 | END IF ! If no pycnocline pycnocline gradients set to zero |
---|
1923 | ! |
---|
1924 | ELSE ! Stable conditions |
---|
1925 | ! If pycnocline profile only defined when depth steady of increasing. |
---|
1926 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
1927 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
1928 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
1929 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
1930 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
1931 | DO jk = 2, nbld(ji,jj) |
---|
1932 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
1933 | pdbdz(ji,jj,jk) = zbgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
1934 | END DO |
---|
1935 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
1936 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
1937 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
1938 | DO jk = 2, nbld(ji,jj) |
---|
1939 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
1940 | pdbdz(ji,jj,jk) = zbgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
1941 | END DO |
---|
1942 | END IF ! IF (shol >=0.5) |
---|
1943 | END IF ! IF (av_db_bl> 0.) |
---|
1944 | END IF ! IF (pdhdt >= 0) pdhdt < 0 not considered since pycnocline profile is zero and profile arrays are |
---|
1945 | ! ! intialized to zero |
---|
1946 | ! |
---|
1947 | END IF ! IF (l_conv) |
---|
1948 | ! |
---|
1949 | END IF ! IF ( nbld(ji,jj) < mbkt(ji,jj) ) |
---|
1950 | ! |
---|
1951 | END_2D |
---|
1952 | ! |
---|
1953 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
1954 | CALL zdf_osm_iomput( "zdbdz_pyc", wmask(A2D(0),:) * pdbdz(A2D(0),:) ) |
---|
1955 | END IF |
---|
1956 | ! |
---|
1957 | END SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles |
---|
1958 | |
---|
1959 | SUBROUTINE zdf_osm_diffusivity_viscosity( Kbb, Kmm, pdiffut, pviscos, phbl, & |
---|
1960 | & phml, pdh, pdhdt, pshear, & |
---|
1961 | & pwb_ent, pwb_min ) |
---|
1962 | !!--------------------------------------------------------------------- |
---|
1963 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
---|
1964 | !! |
---|
1965 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity |
---|
1966 | !! profiles in the mixed layer and the pycnocline. |
---|
1967 | !! |
---|
1968 | !! ** Method : |
---|
1969 | !! |
---|
1970 | !!---------------------------------------------------------------------- |
---|
1971 | INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices |
---|
1972 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(inout) :: pdiffut ! t-diffusivity |
---|
1973 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(inout) :: pviscos ! Viscosity |
---|
1974 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
1975 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth |
---|
1976 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
1977 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
1978 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pshear ! Shear production |
---|
1979 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
1980 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_min |
---|
1981 | !! |
---|
1982 | INTEGER :: ji, jj, jk ! Loop indices |
---|
1983 | !! Scales used to calculate eddy diffusivity and viscosity profiles |
---|
1984 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdifml_sc, zvisml_sc |
---|
1985 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdifpyc_n_sc, zdifpyc_s_sc |
---|
1986 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zvispyc_n_sc, zvispyc_s_sc |
---|
1987 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zbeta_d_sc, zbeta_v_sc |
---|
1988 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zb_coup, zc_coup_vis, zc_coup_dif |
---|
1989 | !! |
---|
1990 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac, zz_b |
---|
1991 | REAL(wp) :: za_cubic, zb_d_cubic, zc_d_cubic, zd_d_cubic, & ! Coefficients in cubic polynomial specifying diffusivity |
---|
1992 | & zb_v_cubic, zc_v_cubic, zd_v_cubic ! and viscosity in pycnocline |
---|
1993 | REAL(wp) :: zznd_ml, zznd_pyc, ztmp |
---|
1994 | REAL(wp) :: zmsku, zmskv |
---|
1995 | !! |
---|
1996 | REAL(wp), PARAMETER :: pp_dif_ml = 0.8_wp, pp_vis_ml = 0.375_wp |
---|
1997 | REAL(wp), PARAMETER :: pp_dif_pyc = 0.15_wp, pp_vis_pyc = 0.142_wp |
---|
1998 | REAL(wp), PARAMETER :: pp_vispyc_shr = 0.15_wp |
---|
1999 | !!---------------------------------------------------------------------- |
---|
2000 | ! |
---|
2001 | zb_coup(:,:) = 0.0_wp |
---|
2002 | ! |
---|
2003 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2004 | IF ( l_conv(ji,jj) ) THEN |
---|
2005 | ! |
---|
2006 | zvel_sc_pyc = ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 + 4.25_wp * pshear(ji,jj) * phbl(ji,jj) )**pthird |
---|
2007 | zvel_sc_ml = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird |
---|
2008 | zstab_fac = ( phml(ji,jj) / zvel_sc_ml * & |
---|
2009 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP(-3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.25_wp ) )**2 |
---|
2010 | ! |
---|
2011 | zdifml_sc(ji,jj) = pp_dif_ml * phml(ji,jj) * zvel_sc_ml |
---|
2012 | zvisml_sc(ji,jj) = pp_vis_ml * zdifml_sc(ji,jj) |
---|
2013 | ! |
---|
2014 | IF ( l_pyc(ji,jj) ) THEN |
---|
2015 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) |
---|
2016 | zvispyc_n_sc(ji,jj) = 0.09_wp * zvel_sc_pyc * ( 1.0_wp - phbl(ji,jj) / pdh(ji,jj) )**2 * & |
---|
2017 | & ( 0.005_wp * ( av_u_ml(ji,jj) - av_u_bl(ji,jj) )**2 + & |
---|
2018 | & 0.0075_wp * ( av_v_ml(ji,jj) - av_v_bl(ji,jj) )**2 ) / & |
---|
2019 | & pdh(ji,jj) |
---|
2020 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
---|
2021 | ! |
---|
2022 | IF ( l_shear(ji,jj) .AND. n_ddh(ji,jj) /= 2 ) THEN |
---|
2023 | ztmp = pp_vispyc_shr * ( pshear(ji,jj) * phbl(ji,jj) )**pthird * phbl(ji,jj) |
---|
2024 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + ztmp |
---|
2025 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + ztmp |
---|
2026 | ENDIF |
---|
2027 | ! |
---|
2028 | zdifpyc_s_sc(ji,jj) = pwb_ent(ji,jj) + 0.0025_wp * zvel_sc_pyc * ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
2029 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) |
---|
2030 | zvispyc_s_sc(ji,jj) = 0.09_wp * ( pwb_min(ji,jj) + 0.0025_wp * zvel_sc_pyc * & |
---|
2031 | & ( phbl(ji,jj) / pdh(ji,jj) - 1.0_wp ) * & |
---|
2032 | & ( av_b_ml(ji,jj) - av_b_bl(ji,jj) ) ) |
---|
2033 | zdifpyc_s_sc(ji,jj) = 0.09_wp * zdifpyc_s_sc(ji,jj) * zstab_fac |
---|
2034 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
---|
2035 | ! |
---|
2036 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5_wp * zdifpyc_n_sc(ji,jj) ) |
---|
2037 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5_wp * zvispyc_n_sc(ji,jj) ) |
---|
2038 | |
---|
2039 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2040 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third |
---|
2041 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
---|
2042 | ELSE |
---|
2043 | zdifpyc_n_sc(ji,jj) = pp_dif_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
2044 | zdifpyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
2045 | zvispyc_n_sc(ji,jj) = pp_vis_pyc * zvel_sc_ml * pdh(ji,jj) ! ag 19/03 |
---|
2046 | zvispyc_s_sc(ji,jj) = 0.0_wp ! ag 19/03 |
---|
2047 | IF(l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
2048 | ! code from SUBROUTINE tke_tke zdftke.F90; uses bottom drag velocity rCdU_bot(ji,jj) = -Cd|ub| |
---|
2049 | ! already calculated at T-points in SUBROUTINE zdf_drg from zdfdrg.F90 |
---|
2050 | ! Gives friction velocity sqrt bottom drag/rho_0 i.e. u* = SQRT(rCdU_bot*ub) |
---|
2051 | ! wet-cell averaging .. |
---|
2052 | zmsku = 0.5_wp * ( 2.0_wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
---|
2053 | zmskv = 0.5_wp * ( 2.0_wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) |
---|
2054 | zb_coup(ji,jj) = 0.4_wp * SQRT(-1.0_wp * rCdU_bot(ji,jj) * & |
---|
2055 | & SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
---|
2056 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) ) |
---|
2057 | |
---|
2058 | zz_b = -1.0_wp * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
2059 | zc_coup_vis(ji,jj) = -0.5_wp * ( 0.5_wp * zvisml_sc(ji,jj) / phml(ji,jj) - zb_coup(ji,jj) ) / & |
---|
2060 | & ( phml(ji,jj) + zz_b ) ! ag 19/03 |
---|
2061 | zz_b = -1.0_wp * phml(ji,jj) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ! ag 19/03 |
---|
2062 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
2063 | & zvisml_sc(ji,jj) ! ag 19/03 |
---|
2064 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ) / & |
---|
2065 | & zdifml_sc(ji,jj) )**p2third |
---|
2066 | zc_coup_dif(ji,jj) = 0.5_wp * ( -zdifml_sc(ji,jj) / phml(ji,jj) * ( 1.0_wp - zbeta_d_sc(ji,jj) )**1.5_wp + & |
---|
2067 | & 1.5_wp * ( zdifml_sc(ji,jj) / phml(ji,jj) ) * zbeta_d_sc(ji,jj) * & |
---|
2068 | & SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) - zb_coup(ji,jj) ) / zz_b ! ag 19/03 |
---|
2069 | ELSE ! ag 19/03 |
---|
2070 | zbeta_d_sc(ji,jj) = 1.0_wp - ( ( zdifpyc_n_sc(ji,jj) + 1.4_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2071 | & ( zdifml_sc(ji,jj) + epsln ) )**p2third ! ag 19/03 |
---|
2072 | zbeta_v_sc(ji,jj) = 1.0_wp - 2.0_wp * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / & |
---|
2073 | & ( zvisml_sc(ji,jj) + epsln ) ! ag 19/03 |
---|
2074 | ENDIF ! ag 19/03 |
---|
2075 | ENDIF ! ag 19/03 |
---|
2076 | ELSE |
---|
2077 | zdifml_sc(ji,jj) = svstr(ji,jj) * phbl(ji,jj) * MAX( EXP ( -1.0_wp * ( shol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
2078 | zvisml_sc(ji,jj) = zdifml_sc(ji,jj) |
---|
2079 | END IF |
---|
2080 | END_2D |
---|
2081 | ! |
---|
2082 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2083 | IF ( l_conv(ji,jj) ) THEN |
---|
2084 | DO jk = 2, nmld(ji,jj) ! Mixed layer diffusivity |
---|
2085 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2086 | pdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
2087 | pviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zbeta_v_sc(ji,jj) * zznd_ml ) * & |
---|
2088 | & ( 1.0_wp - 0.5_wp * zznd_ml**2 ) |
---|
2089 | END DO |
---|
2090 | ! |
---|
2091 | ! Coupling to bottom |
---|
2092 | ! |
---|
2093 | IF ( l_coup(ji,jj) ) THEN ! ag 19/03 |
---|
2094 | DO jk = mbkt(ji,jj), nmld(ji,jj), -1 ! ag 19/03 |
---|
2095 | zz_b = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) ! ag 19/03 |
---|
2096 | pviscos(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_vis(ji,jj) * zz_b**2 ! ag 19/03 |
---|
2097 | pdiffut(ji,jj,jk) = zb_coup(ji,jj) * zz_b + zc_coup_dif(ji,jj) * zz_b**2 ! ag 19/03 |
---|
2098 | END DO ! ag 19/03 |
---|
2099 | ENDIF ! ag 19/03 |
---|
2100 | ! Pycnocline |
---|
2101 | IF ( l_pyc(ji,jj) ) THEN |
---|
2102 | ! Diffusivity and viscosity profiles in the pycnocline given by |
---|
2103 | ! cubic polynomial. Note, if l_pyc TRUE can't be coupled to seabed. |
---|
2104 | za_cubic = 0.5_wp |
---|
2105 | zb_d_cubic = -1.75_wp * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
---|
2106 | zd_d_cubic = ( pdh(ji,jj) * zdifml_sc(ji,jj) / phml(ji,jj) * SQRT( 1.0_wp - zbeta_d_sc(ji,jj) ) * & |
---|
2107 | & ( 2.5_wp * zbeta_d_sc(ji,jj) - 1.0_wp ) - 0.85_wp * zdifpyc_s_sc(ji,jj) ) / & |
---|
2108 | & MAX( zdifpyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
2109 | zd_d_cubic = zd_d_cubic - zb_d_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_d_cubic ) |
---|
2110 | zc_d_cubic = 1.0_wp - za_cubic - zb_d_cubic - zd_d_cubic |
---|
2111 | zb_v_cubic = -1.75_wp * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
---|
2112 | zd_v_cubic = ( 0.5_wp * zvisml_sc(ji,jj) * pdh(ji,jj) / phml(ji,jj) - 0.85_wp * zvispyc_s_sc(ji,jj) ) / & |
---|
2113 | & MAX( zvispyc_n_sc(ji,jj), 1.0e-8_wp ) |
---|
2114 | zd_v_cubic = zd_v_cubic - zb_v_cubic - 2.0_wp * ( 1.0_wp - za_cubic - zb_v_cubic ) |
---|
2115 | zc_v_cubic = 1.0_wp - za_cubic - zb_v_cubic - zd_v_cubic |
---|
2116 | DO jk = nmld(ji,jj) , nbld(ji,jj) |
---|
2117 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / MAX(pdh(ji,jj), 1.0e-6_wp ) |
---|
2118 | ztmp = ( 1.75_wp * zznd_pyc - 0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ) |
---|
2119 | ! |
---|
2120 | pdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * & |
---|
2121 | & ( za_cubic + zb_d_cubic * zznd_pyc + zc_d_cubic * zznd_pyc**2 + zd_d_cubic * zznd_pyc**3 ) |
---|
2122 | ! |
---|
2123 | pdiffut(ji,jj,jk) = pdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ztmp |
---|
2124 | pviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * & |
---|
2125 | & ( za_cubic + zb_v_cubic * zznd_pyc + zc_v_cubic * zznd_pyc**2 + zd_v_cubic * zznd_pyc**3 ) |
---|
2126 | pviscos(ji,jj,jk) = pviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ztmp |
---|
2127 | END DO |
---|
2128 | ! IF ( pdhdt(ji,jj) > 0._wp ) THEN |
---|
2129 | ! zdiffut(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
2130 | ! zviscos(ji,jj,nbld(ji,jj)+1) = MAX( 0.5 * pdhdt(ji,jj) * e3w(ji,jj,nbld(ji,jj)+1,Kmm), 1.0e-6 ) |
---|
2131 | ! ELSE |
---|
2132 | ! zdiffut(ji,jj,nbld(ji,jj)) = 0._wp |
---|
2133 | ! zviscos(ji,jj,nbld(ji,jj)) = 0._wp |
---|
2134 | ! ENDIF |
---|
2135 | ENDIF |
---|
2136 | ELSE |
---|
2137 | ! Stable conditions |
---|
2138 | DO jk = 2, nbld(ji,jj) |
---|
2139 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2140 | pdiffut(ji,jj,jk) = 0.75_wp * zdifml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml )**1.5_wp |
---|
2141 | pviscos(ji,jj,jk) = 0.375_wp * zvisml_sc(ji,jj) * zznd_ml * ( 1.0_wp - zznd_ml ) * ( 1.0_wp - zznd_ml**2 ) |
---|
2142 | END DO |
---|
2143 | ! |
---|
2144 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN |
---|
2145 | pdiffut(ji,jj,nbld(ji,jj)) = MAX( pdhdt(ji,jj), 1.0e-6_wp) * e3w(ji, jj, nbld(ji,jj), Kmm) |
---|
2146 | pviscos(ji,jj,nbld(ji,jj)) = pdiffut(ji,jj,nbld(ji,jj)) |
---|
2147 | ENDIF |
---|
2148 | ENDIF ! End if ( l_conv ) |
---|
2149 | ! |
---|
2150 | END_2D |
---|
2151 | CALL zdf_osm_iomput( "pb_coup", tmask(A2D(0),1) * zb_coup(A2D(0)) ) ! BBL-coupling velocity scale |
---|
2152 | ! |
---|
2153 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
---|
2154 | |
---|
2155 | SUBROUTINE zdf_osm_fgr_terms( Kmm, kp_ext, phbl, phml, pdh, & |
---|
2156 | & pdhdt, pshear, pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_bl_ext, & |
---|
2157 | & pdiffut, pviscos ) |
---|
2158 | !!--------------------------------------------------------------------- |
---|
2159 | !! *** ROUTINE zdf_osm_fgr_terms *** |
---|
2160 | !! |
---|
2161 | !! ** Purpose : Compute non-gradient terms in flux-gradient relationship |
---|
2162 | !! |
---|
2163 | !! ** Method : |
---|
2164 | !! |
---|
2165 | !!---------------------------------------------------------------------- |
---|
2166 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
2167 | INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kp_ext ! Offset for external level |
---|
2168 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
2169 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth |
---|
2170 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth |
---|
2171 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency |
---|
2172 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pshear ! Shear production |
---|
2173 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients |
---|
2174 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients |
---|
2175 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients |
---|
2176 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(in ) :: pdiffut ! t-diffusivity |
---|
2177 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(in ) :: pviscos ! Viscosity |
---|
2178 | !! |
---|
2179 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zalpha_pyc ! |
---|
2180 | REAL(wp), DIMENSION(A2D(nn_hls-1),jpk) :: zdbdz_pyc ! Parametrised gradient of buoyancy in the pycnocline |
---|
2181 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: z3ddz_pyc_1, z3ddz_pyc_2 ! Pycnocline gradient/shear profiles |
---|
2182 | !! |
---|
2183 | INTEGER :: ji, jj, jk, jkm_bld, jkf_mld, jkm_mld ! Loop indices |
---|
2184 | INTEGER :: istat ! Memory allocation status |
---|
2185 | REAL(wp) :: zznd_d, zznd_ml, zznd_pyc, znd ! Temporary non-dimensional depths |
---|
2186 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_wth_1,zsc_ws_1 ! Temporary scales |
---|
2187 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_uw_1, zsc_uw_2 ! Temporary scales |
---|
2188 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_vw_1, zsc_vw_2 ! Temporary scales |
---|
2189 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: ztau_sc_u ! Dissipation timescale at base of WML |
---|
2190 | REAL(wp) :: zbuoy_pyc_sc, zdelta_pyc ! |
---|
2191 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale |
---|
2192 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: za_cubic, zb_cubic ! Coefficients in cubic polynomial specifying |
---|
2193 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zc_cubic, zd_cubic ! diffusivity in pycnocline |
---|
2194 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwt_pyc_sc_1, zws_pyc_sc_1 ! |
---|
2195 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zzeta_pyc ! |
---|
2196 | REAL(wp) :: zomega, zvw_max ! |
---|
2197 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zuw_bse,zvw_bse ! Momentum, heat, and salinity fluxes |
---|
2198 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zwth_ent,zws_ent ! at the top of the pycnocline |
---|
2199 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term |
---|
2200 | REAL(wp) :: ztmp ! |
---|
2201 | REAL(wp) :: ztgrad, zsgrad, zbgrad ! Variables used to calculate pycnocline |
---|
2202 | !! ! gradients |
---|
2203 | REAL(wp) :: zugrad, zvgrad ! Variables for calculating pycnocline shear |
---|
2204 | REAL(wp) :: zdtdz_pyc ! Parametrized gradient of temperature in |
---|
2205 | !! ! pycnocline |
---|
2206 | REAL(wp) :: zdsdz_pyc ! Parametrised gradient of salinity in |
---|
2207 | !! ! pycnocline |
---|
2208 | REAL(wp) :: zdudz_pyc ! u-shear across the pycnocline |
---|
2209 | REAL(wp) :: zdvdz_pyc ! v-shear across the pycnocline |
---|
2210 | !!---------------------------------------------------------------------- |
---|
2211 | ! |
---|
2212 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
2213 | ! Pycnocline gradients for scalars and velocity |
---|
2214 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
2215 | CALL zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, zdbdz_pyc, zalpha_pyc, pdh, & |
---|
2216 | & phbl, pdbdz_bl_ext, phml, pdhdt ) |
---|
2217 | ! |
---|
2218 | ! Auxiliary indices |
---|
2219 | ! ----------------- |
---|
2220 | jkm_bld = 0 |
---|
2221 | jkf_mld = jpk |
---|
2222 | jkm_mld = 0 |
---|
2223 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2224 | IF ( nbld(ji,jj) > jkm_bld ) jkm_bld = nbld(ji,jj) |
---|
2225 | IF ( nmld(ji,jj) < jkf_mld ) jkf_mld = nmld(ji,jj) |
---|
2226 | IF ( nmld(ji,jj) > jkm_mld ) jkm_mld = nmld(ji,jj) |
---|
2227 | END_2D |
---|
2228 | ! |
---|
2229 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
2230 | ! ------------------------------------------------------ |
---|
2231 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2232 | zsc_wth_1(:,:) = swstrl(A2D(nn_hls-1))**3 * swth0(A2D(nn_hls-1)) / & |
---|
2233 | & ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln ) |
---|
2234 | zsc_ws_1(:,:) = swstrl(A2D(nn_hls-1))**3 * sws0(A2D(nn_hls-1)) / & |
---|
2235 | & ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln ) |
---|
2236 | ELSEWHERE |
---|
2237 | zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(nn_hls-1)) |
---|
2238 | zsc_ws_1(:,:) = 2.0_wp * swsav(A2D(nn_hls-1)) |
---|
2239 | ENDWHERE |
---|
2240 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2241 | IF ( l_conv(ji,jj) ) THEN |
---|
2242 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2243 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2244 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2245 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
2246 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2247 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
2248 | END IF |
---|
2249 | ELSE ! Stable conditions |
---|
2250 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2251 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2252 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
2253 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
2254 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15_wp * EXP( -0.85_wp * zznd_d ) * & |
---|
2255 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
2256 | END IF |
---|
2257 | END IF ! Check on l_conv |
---|
2258 | END_3D |
---|
2259 | ! |
---|
2260 | IF ( ln_dia_osm ) THEN |
---|
2261 | CALL zdf_osm_iomput( "ghamu_00", wmask(A2D(0),:) * ghamu(A2D(0),:) ) |
---|
2262 | CALL zdf_osm_iomput( "ghamv_00", wmask(A2D(0),:) * ghamv(A2D(0),:) ) |
---|
2263 | END IF |
---|
2264 | ! |
---|
2265 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use |
---|
2266 | ! svstr since term needs to go to zero as swstrl goes to zero) |
---|
2267 | ! --------------------------------------------------------------------- |
---|
2268 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2269 | zsc_uw_1(:,:) = ( swstrl(A2D(nn_hls-1))**3 + & |
---|
2270 | & 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**pthird * sustke(A2D(nn_hls-1)) / & |
---|
2271 | & MAX( ( 1.0_wp - 1.0_wp * 6.5_wp * sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ) ), 0.2_wp ) |
---|
2272 | zsc_uw_2(:,:) = ( swstrl(A2D(nn_hls-1))**3 + & |
---|
2273 | & 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**pthird * sustke(A2D(nn_hls-1)) / & |
---|
2274 | & MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ) + epsln, 0.12_wp ) |
---|
2275 | zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * phml(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1))**3 * & |
---|
2276 | & MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / & |
---|
2277 | & ( ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 )**( 2.0_wp / 3.0_wp ) + epsln ) |
---|
2278 | ELSEWHERE |
---|
2279 | zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2 |
---|
2280 | zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * phbl(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1))**3 * & |
---|
2281 | & MIN( sla(A2D(nn_hls-1))**( 8.0_wp / 3.0_wp ), 0.12_wp ) / ( svstr(A2D(nn_hls-1))**2 + epsln ) |
---|
2282 | ENDWHERE |
---|
2283 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2284 | IF ( l_conv(ji,jj) ) THEN |
---|
2285 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2286 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2287 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05_wp * EXP( -0.4_wp * zznd_d ) * zsc_uw_1(ji,jj) + & |
---|
2288 | & 0.00125_wp * EXP( -1.0_wp * zznd_d ) * zsc_uw_2(ji,jj) ) * & |
---|
2289 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) |
---|
2290 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65_wp * 0.15_wp * EXP( -1.0_wp * zznd_d ) * & |
---|
2291 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
2292 | END IF |
---|
2293 | ELSE ! Stable conditions |
---|
2294 | IF ( jk <= nbld(ji,jj) ) THEN ! Corrected to nbld |
---|
2295 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2296 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75_wp * 1.3_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
2297 | & ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
2298 | END IF |
---|
2299 | END IF |
---|
2300 | END_3D |
---|
2301 | ! |
---|
2302 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio |
---|
2303 | ! (X0.3) and pressure (X0.5)] |
---|
2304 | ! ---------------------------------------------------------------------- |
---|
2305 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2306 | zsc_wth_1(:,:) = swbav(A2D(nn_hls-1)) * swth0(A2D(nn_hls-1)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(nn_hls-1)) ) ) * & |
---|
2307 | & phml(A2D(nn_hls-1)) / ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln ) |
---|
2308 | zsc_ws_1(:,:) = swbav(A2D(nn_hls-1)) * sws0(A2D(nn_hls-1)) * ( 1.0_wp + EXP( 0.2_wp * shol(A2D(nn_hls-1)) ) ) * & |
---|
2309 | & phml(A2D(nn_hls-1)) / ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln ) |
---|
2310 | ELSEWHERE |
---|
2311 | zsc_wth_1(:,:) = 0.0_wp |
---|
2312 | zsc_ws_1(:,:) = 0.0_wp |
---|
2313 | ENDWHERE |
---|
2314 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2315 | IF ( l_conv(ji,jj) ) THEN |
---|
2316 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2317 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2318 | ! Calculate turbulent time scale |
---|
2319 | zl_c = 0.9_wp * ( 1.0_wp - EXP( -5.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
2320 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.2_wp - zznd_ml ) ) ) |
---|
2321 | zl_l = 2.0_wp * ( 1.0_wp - EXP( -2.0_wp * ( zznd_ml + zznd_ml**3 / 3.0_wp ) ) ) * & |
---|
2322 | & ( 1.0_wp - EXP( -8.0_wp * ( 1.15_wp - zznd_ml ) ) ) * ( 1.0_wp + dstokes(ji,jj) / phml (ji,jj) ) |
---|
2323 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0_wp + EXP( -3.0_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**( 3.0_wp / 2.0_wp ) |
---|
2324 | ! Non-gradient buoyancy terms |
---|
2325 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_wth_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
2326 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * 0.4_wp * zsc_ws_1(ji,jj) * zl_eps / ( 0.15_wp + zznd_ml ) |
---|
2327 | END IF |
---|
2328 | ELSE ! Stable conditions |
---|
2329 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2330 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
2331 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
2332 | END IF |
---|
2333 | END IF |
---|
2334 | END_3D |
---|
2335 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2336 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
2337 | ztau_sc_u(ji,jj) = phml(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2338 | & ( 1.4_wp - 0.4_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )**1.5_wp ) |
---|
2339 | zwth_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2340 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dt_ml(ji,jj) |
---|
2341 | zws_ent(ji,jj) = -0.003_wp * ( 0.15_wp * svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird * & |
---|
2342 | & ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_ds_ml(ji,jj) |
---|
2343 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) ) THEN |
---|
2344 | zbuoy_pyc_sc = 2.0_wp * MAX( av_db_ml(ji,jj), 0.0_wp ) / pdh(ji,jj) |
---|
2345 | zdelta_pyc = ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird / & |
---|
2346 | & SQRT( MAX( zbuoy_pyc_sc, ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / pdh(ji,jj)**2 ) ) |
---|
2347 | zwt_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_dt_ml(ji,jj) / pdh(ji,jj) + pdtdz_bl_ext(ji,jj) ) * & |
---|
2348 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
2349 | zws_pyc_sc_1(ji,jj) = 0.325_wp * ( zalpha_pyc(ji,jj) * av_ds_ml(ji,jj) / pdh(ji,jj) + pdsdz_bl_ext(ji,jj) ) * & |
---|
2350 | & zdelta_pyc**2 / pdh(ji,jj) |
---|
2351 | zzeta_pyc(ji,jj) = 0.15_wp - 0.175_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) ) |
---|
2352 | END IF |
---|
2353 | END IF |
---|
2354 | END_2D |
---|
2355 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld ) |
---|
2356 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2357 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2358 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - & |
---|
2359 | & 0.045_wp * ( ( zwth_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
2360 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
2361 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - & |
---|
2362 | & 0.045_wp * ( ( zws_ent(ji,jj) * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * & |
---|
2363 | & MAX( ( 1.75_wp * zznd_pyc -0.15_wp * zznd_pyc**2 - 0.2_wp * zznd_pyc**3 ), 0.0_wp ) |
---|
2364 | IF ( dh(ji,jj) < 0.2_wp * hbl(ji,jj) .AND. nbld(ji,jj) - nmld(ji,jj) > 3 ) THEN |
---|
2365 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05_wp * zwt_pyc_sc_1(ji,jj) * & |
---|
2366 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
2367 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
2368 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05_wp * zws_pyc_sc_1(ji,jj) * & |
---|
2369 | & EXP( -0.25_wp * ( zznd_pyc / zzeta_pyc(ji,jj) )**2 ) * & |
---|
2370 | & pdh(ji,jj) / ( svstr(ji,jj)**3 + swstrc(ji,jj)**3 )**pthird |
---|
2371 | END IF |
---|
2372 | END IF ! End of pycnocline |
---|
2373 | END_3D |
---|
2374 | ! |
---|
2375 | IF ( ln_dia_osm ) THEN |
---|
2376 | CALL zdf_osm_iomput( "zwth_ent", tmask(A2D(0),1) * zwth_ent(A2D(0)) ) ! Upward turb. temperature entrainment flux |
---|
2377 | CALL zdf_osm_iomput( "zws_ent", tmask(A2D(0),1) * zws_ent(A2D(0)) ) ! Upward turb. salinity entrainment flux |
---|
2378 | END IF |
---|
2379 | ! |
---|
2380 | zsc_vw_1(:,:) = 0.0_wp |
---|
2381 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2382 | zsc_uw_1(:,:) = -1.0_wp * swb0(A2D(nn_hls-1)) * sustar(A2D(nn_hls-1))**2 * phml(A2D(nn_hls-1)) / & |
---|
2383 | & ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln ) |
---|
2384 | zsc_uw_2(:,:) = swb0(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phml(A2D(nn_hls-1)) / & |
---|
2385 | & ( svstr(A2D(nn_hls-1))**3 + 0.5_wp * swstrc(A2D(nn_hls-1))**3 + epsln )**( 2.0_wp / 3.0_wp ) |
---|
2386 | ELSEWHERE |
---|
2387 | zsc_uw_1(:,:) = 0.0_wp |
---|
2388 | ENDWHERE |
---|
2389 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2390 | IF ( l_conv(ji,jj) ) THEN |
---|
2391 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2392 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2393 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3_wp * 0.5_wp * & |
---|
2394 | & ( zsc_uw_1(ji,jj) + 0.125_wp * EXP( -0.5_wp * zznd_d ) * & |
---|
2395 | & ( 1.0_wp - EXP( -0.5_wp * zznd_d ) ) * zsc_uw_2(ji,jj) ) |
---|
2396 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
2397 | END IF |
---|
2398 | ELSE ! Stable conditions |
---|
2399 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2400 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
2401 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
2402 | END IF |
---|
2403 | ENDIF |
---|
2404 | END_3D |
---|
2405 | ! |
---|
2406 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2407 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) ) THEN |
---|
2408 | IF ( n_ddh(ji,jj) == 0 ) THEN |
---|
2409 | ! Place holding code. Parametrization needs checking for these conditions. |
---|
2410 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
2411 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj) |
---|
2412 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj) |
---|
2413 | ELSE |
---|
2414 | zomega = ( 0.15_wp * swstrl(ji,jj)**3 + swstrc(ji,jj)**3 + 4.75_wp * ( pshear(ji,jj) * phbl(ji,jj) ) )**pthird |
---|
2415 | zuw_bse(ji,jj) = -0.0035_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_du_ml(ji,jj) |
---|
2416 | zvw_bse(ji,jj) = -0.0075_wp * zomega * ( 1.0_wp - pdh(ji,jj) / phbl(ji,jj) ) * av_dv_ml(ji,jj) |
---|
2417 | ENDIF |
---|
2418 | zb_cubic(ji,jj) = pdh(ji,jj) / phbl(ji,jj) * suw0(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zuw_bse(ji,jj) |
---|
2419 | za_cubic(ji,jj) = zuw_bse(ji,jj) - zb_cubic(ji,jj) |
---|
2420 | zvw_max = 0.7_wp * ff_t(ji,jj) * ( sustke(ji,jj) * dstokes(ji,jj) + 0.7_wp * sustar(ji,jj) * phml(ji,jj) ) |
---|
2421 | zd_cubic(ji,jj) = zvw_max * pdh(ji,jj) / phml(ji,jj) - ( 2.0_wp + pdh(ji,jj) / phml(ji,jj) ) * zvw_bse(ji,jj) |
---|
2422 | zc_cubic(ji,jj) = zvw_bse(ji,jj) - zd_cubic(ji,jj) |
---|
2423 | END IF |
---|
2424 | END_2D |
---|
2425 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jkf_mld, jkm_bld ) ! Need ztau_sc_u to be available. Change to array. |
---|
2426 | IF ( l_conv(ji,jj) .AND. l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2427 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2428 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse(ji,jj) * & |
---|
2429 | & ( za_cubic(ji,jj) * zznd_pyc**2 + zb_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
2430 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
2431 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045_wp * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse(ji,jj) * & |
---|
2432 | & ( zc_cubic(ji,jj) * zznd_pyc**2 + zd_cubic(ji,jj) * zznd_pyc**3 ) * & |
---|
2433 | & ( 0.75_wp + 0.25_wp * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
2434 | END IF ! l_conv .AND. l_pyc |
---|
2435 | END_3D |
---|
2436 | ! |
---|
2437 | IF ( ln_dia_osm ) THEN |
---|
2438 | CALL zdf_osm_iomput( "ghamu_0", wmask(A2D(0),:) * ghamu(A2D(0),:) ) |
---|
2439 | CALL zdf_osm_iomput( "zsc_uw_1_0", tmask(A2D(0),1) * zsc_uw_1(A2D(0)) ) |
---|
2440 | END IF |
---|
2441 | ! |
---|
2442 | ! Transport term in flux-gradient relationship [note : includes ROI ratio |
---|
2443 | ! (X0.3) ] |
---|
2444 | ! ----------------------------------------------------------------------- |
---|
2445 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2446 | zsc_wth_1(:,:) = swth0(A2D(nn_hls-1)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(nn_hls-1)) ) ) |
---|
2447 | zsc_ws_1(:,:) = sws0(A2D(nn_hls-1)) / ( 1.0_wp - 0.56_wp * EXP( shol(A2D(nn_hls-1)) ) ) |
---|
2448 | WHERE ( l_pyc(A2D(nn_hls-1)) ) ! Pycnocline scales |
---|
2449 | zsc_wth_pyc(:,:) = -0.003_wp * swstrc(A2D(nn_hls-1)) * ( 1.0_wp - pdh(A2D(nn_hls-1)) / phbl(A2D(nn_hls-1)) ) * & |
---|
2450 | & av_dt_ml(A2D(nn_hls-1)) |
---|
2451 | zsc_ws_pyc(:,:) = -0.003_wp * swstrc(A2D(nn_hls-1)) * ( 1.0_wp - pdh(A2D(nn_hls-1)) / phbl(A2D(nn_hls-1)) ) * & |
---|
2452 | & av_ds_ml(A2D(nn_hls-1)) |
---|
2453 | END WHERE |
---|
2454 | ELSEWHERE |
---|
2455 | zsc_wth_1(:,:) = 2.0_wp * swthav(A2D(nn_hls-1)) |
---|
2456 | zsc_ws_1(:,:) = sws0(A2D(nn_hls-1)) |
---|
2457 | END WHERE |
---|
2458 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, MAX( jkm_mld, jkm_bld ) ) |
---|
2459 | IF ( l_conv(ji,jj) ) THEN |
---|
2460 | IF ( ( jk > 1 ) .AND. ( jk <= nmld(ji,jj) ) ) THEN |
---|
2461 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2462 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * zsc_wth_1(ji,jj) * & |
---|
2463 | & ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - & |
---|
2464 | & EXP( -6.0_wp * zznd_ml ) ) ) * & |
---|
2465 | & ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
2466 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * zsc_ws_1(ji,jj) * & |
---|
2467 | & ( -2.0_wp + 2.75_wp * ( ( 1.0_wp + 0.6_wp * zznd_ml**4 ) - & |
---|
2468 | & EXP( -6.0_wp * zznd_ml ) ) ) * ( 1.0_wp - EXP( -15.0_wp * ( 1.0_wp - zznd_ml ) ) ) |
---|
2469 | END IF |
---|
2470 | ! |
---|
2471 | ! may need to comment out lpyc block |
---|
2472 | IF ( l_pyc(ji,jj) .AND. ( jk >= nmld(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN ! Pycnocline |
---|
2473 | zznd_pyc = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / pdh(ji,jj) |
---|
2474 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0_wp * zsc_wth_pyc(ji,jj) * & |
---|
2475 | & ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
2476 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0_wp * zsc_ws_pyc(ji,jj) * & |
---|
2477 | & ( 0.48_wp - EXP( -1.5_wp * ( zznd_pyc - 0.3_wp )**2 ) ) |
---|
2478 | END IF |
---|
2479 | ELSE |
---|
2480 | IF( pdhdt(ji,jj) > 0. ) THEN |
---|
2481 | IF ( ( jk > 1 ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2482 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2483 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2484 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
2485 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_wth_1(ji,jj) |
---|
2486 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3_wp * ( -4.06_wp * EXP( -2.0_wp * zznd_d ) * ( 1.0_wp - EXP( -4.0_wp * zznd_d ) ) + & |
---|
2487 | 7.5_wp * EXP ( -10.0_wp * ( 0.95_wp - znd )**2 ) * ( 1.0_wp - znd ) ) * zsc_ws_1(ji,jj) |
---|
2488 | END IF |
---|
2489 | ENDIF |
---|
2490 | ENDIF |
---|
2491 | END_3D |
---|
2492 | ! |
---|
2493 | WHERE ( l_conv(A2D(nn_hls-1)) ) |
---|
2494 | zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2 |
---|
2495 | zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phml(A2D(nn_hls-1)) |
---|
2496 | ELSEWHERE |
---|
2497 | zsc_uw_1(:,:) = sustar(A2D(nn_hls-1))**2 |
---|
2498 | zsc_uw_2(:,:) = ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * 2.0_wp ) ) ) * ( 1.0_wp - EXP( -4.0_wp * 2.0_wp ) ) * & |
---|
2499 | & zsc_uw_1(:,:) |
---|
2500 | zsc_vw_1(:,:) = ff_t(A2D(nn_hls-1)) * sustke(A2D(nn_hls-1)) * phbl(A2D(nn_hls-1)) |
---|
2501 | zsc_vw_2(:,:) = -0.11_wp * SIN( 3.14159_wp * ( 2.0_wp + 0.4_wp ) ) * EXP( -1.0_wp * ( 1.5_wp + 2.0_wp )**2 ) * & |
---|
2502 | & zsc_vw_1(:,:) |
---|
2503 | ENDWHERE |
---|
2504 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, MAX( jkm_mld, jkm_bld ) ) |
---|
2505 | IF ( l_conv(ji,jj) ) THEN |
---|
2506 | IF ( jk <= nmld(ji,jj) ) THEN |
---|
2507 | zznd_ml = gdepw(ji,jj,jk,Kmm) / phml(ji,jj) |
---|
2508 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2509 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + & |
---|
2510 | & 0.3_wp * ( -2.0_wp + 2.5_wp * ( 1.0_wp + 0.1_wp * zznd_ml**4 ) - EXP( -8.0_wp * zznd_ml ) ) * & |
---|
2511 | & zsc_uw_1(ji,jj) |
---|
2512 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + & |
---|
2513 | & 0.3_wp * 0.1_wp * ( EXP( -1.0_wp * zznd_d ) + EXP( -5.0_wp * ( 1.0_wp - zznd_ml ) ) ) * & |
---|
2514 | & zsc_vw_1(ji,jj) |
---|
2515 | END IF |
---|
2516 | ELSE |
---|
2517 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2518 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2519 | zznd_d = gdepw(ji,jj,jk,Kmm) / dstokes(ji,jj) |
---|
2520 | IF ( zznd_d <= 2.0_wp ) THEN |
---|
2521 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
2522 | & ( 2.25_wp - 3.0_wp * ( 1.0_wp - EXP( -1.25_wp * zznd_d ) ) * & |
---|
2523 | & ( 1.0_wp - EXP( -2.0_wp * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
2524 | ELSE |
---|
2525 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5_wp * 0.3_wp * & |
---|
2526 | & ( 1.0_wp - EXP( -5.0_wp * ( 1.0_wp - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
2527 | ENDIF |
---|
2528 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * SIN( 3.14159_wp * ( 0.65_wp * zznd_d ) ) * & |
---|
2529 | & EXP( -0.25_wp * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
2530 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3_wp * 0.15_wp * EXP( -5.0 * ( 1.0 - znd ) ) * & |
---|
2531 | & ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
2532 | END IF |
---|
2533 | END IF |
---|
2534 | END_3D |
---|
2535 | ! |
---|
2536 | IF ( ln_dia_osm ) THEN |
---|
2537 | CALL zdf_osm_iomput( "ghamu_f", wmask(A2D(0),:) * ghamu(A2D(0),:) ) |
---|
2538 | CALL zdf_osm_iomput( "ghamv_f", wmask(A2D(0),:) * ghamv(A2D(0),:) ) |
---|
2539 | CALL zdf_osm_iomput( "zsc_uw_1_f", tmask(A2D(0),1) * zsc_uw_1(A2D(0)) ) |
---|
2540 | CALL zdf_osm_iomput( "zsc_vw_1_f", tmask(A2D(0),1) * zsc_vw_1(A2D(0)) ) |
---|
2541 | CALL zdf_osm_iomput( "zsc_uw_2_f", tmask(A2D(0),1) * zsc_uw_2(A2D(0)) ) |
---|
2542 | CALL zdf_osm_iomput( "zsc_vw_2_f", tmask(A2D(0),1) * zsc_vw_2(A2D(0)) ) |
---|
2543 | END IF |
---|
2544 | ! |
---|
2545 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
2546 | ! of the mixed layer. |
---|
2547 | ! |
---|
2548 | ! Make surface forced velocity non-gradient terms go to zero at the base |
---|
2549 | ! of the boundary layer. |
---|
2550 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld ) |
---|
2551 | IF ( ( .NOT. l_conv(ji,jj) ) .AND. ( jk <= nbld(ji,jj) ) ) THEN |
---|
2552 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) / phbl(ji,jj) ! ALMG to think about |
---|
2553 | IF ( znd >= 0.0_wp ) THEN |
---|
2554 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
2555 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0_wp - EXP( -10.0_wp * znd**2 ) ) |
---|
2556 | ELSE |
---|
2557 | ghamu(ji,jj,jk) = 0.0_wp |
---|
2558 | ghamv(ji,jj,jk) = 0.0_wp |
---|
2559 | ENDIF |
---|
2560 | END IF |
---|
2561 | END_3D |
---|
2562 | ! |
---|
2563 | ! Pynocline contributions |
---|
2564 | ! |
---|
2565 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Allocate arrays for output of pycnocline gradient/shear profiles |
---|
2566 | ALLOCATE( z3ddz_pyc_1(A2D(nn_hls),jpk), z3ddz_pyc_2(A2D(nn_hls),jpk), STAT=istat ) |
---|
2567 | IF ( istat /= 0 ) CALL ctl_stop( 'zdf_osm: failed to allocate temporary arrays' ) |
---|
2568 | z3ddz_pyc_1(:,:,:) = 0.0_wp |
---|
2569 | z3ddz_pyc_2(:,:,:) = 0.0_wp |
---|
2570 | END IF |
---|
2571 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld ) |
---|
2572 | IF ( l_conv (ji,jj) ) THEN |
---|
2573 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
---|
2574 | ! zugrad = 0.7 * av_du_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
2575 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
2576 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
2577 | !Alan is this right? |
---|
2578 | ! zvgrad = ( 0.7 * av_dv_ml(ji,jj) + & |
---|
2579 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
2580 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
2581 | ! & )/ (zdh(ji,jj) + epsln ) |
---|
2582 | ! DO jk = 2, nbld(ji,jj) - 1 + ibld_ext |
---|
2583 | ! znd = -( gdepw(ji,jj,jk,Kmm) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
2584 | ! IF ( znd <= 0.0 ) THEN |
---|
2585 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
2586 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
2587 | ! ELSE |
---|
2588 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
2589 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
2590 | ! ENDIF |
---|
2591 | ! END DO |
---|
2592 | ELSE ! Stable conditions |
---|
2593 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
2594 | ! Pycnocline profile only defined when depth steady of increasing. |
---|
2595 | IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady. |
---|
2596 | IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN |
---|
2597 | IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline |
---|
2598 | ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln ) |
---|
2599 | ztgrad = av_dt_bl(ji,jj) * ztmp |
---|
2600 | zsgrad = av_ds_bl(ji,jj) * ztmp |
---|
2601 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
2602 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2603 | znd = gdepw(ji,jj,jk,Kmm) * ztmp |
---|
2604 | zdtdz_pyc = ztgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
2605 | zdsdz_pyc = zsgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 ) |
---|
2606 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
2607 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
2608 | IF ( ln_dia_pyc_scl ) THEN |
---|
2609 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
2610 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
2611 | END IF |
---|
2612 | END IF |
---|
2613 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
2614 | ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln ) |
---|
2615 | ztgrad = av_dt_bl(ji,jj) * ztmp |
---|
2616 | zsgrad = av_ds_bl(ji,jj) * ztmp |
---|
2617 | zbgrad = av_db_bl(ji,jj) * ztmp |
---|
2618 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2619 | znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp |
---|
2620 | zdtdz_pyc = ztgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
2621 | zdsdz_pyc = zsgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 ) |
---|
2622 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + pdiffut(ji,jj,jk) * zdtdz_pyc |
---|
2623 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + pdiffut(ji,jj,jk) * zdsdz_pyc |
---|
2624 | IF ( ln_dia_pyc_scl ) THEN |
---|
2625 | z3ddz_pyc_1(ji,jj,jk) = zdtdz_pyc |
---|
2626 | z3ddz_pyc_2(ji,jj,jk) = zdsdz_pyc |
---|
2627 | END IF |
---|
2628 | END IF |
---|
2629 | ENDIF ! IF (shol >=0.5) |
---|
2630 | ENDIF ! IF (av_db_bl> 0.) |
---|
2631 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are |
---|
2632 | ! ! intialized to zero |
---|
2633 | END IF |
---|
2634 | END IF |
---|
2635 | END_3D |
---|
2636 | IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles |
---|
2637 | CALL zdf_osm_iomput( "zdtdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_1(A2D(0),:) ) |
---|
2638 | CALL zdf_osm_iomput( "zdsdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_2(A2D(0),:) ) |
---|
2639 | END IF |
---|
2640 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkm_bld ) |
---|
2641 | IF ( .NOT. l_conv (ji,jj) ) THEN |
---|
2642 | IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
2643 | zugrad = 3.25_wp * av_du_bl(ji,jj) / phbl(ji,jj) |
---|
2644 | zvgrad = 2.75_wp * av_dv_bl(ji,jj) / phbl(ji,jj) |
---|
2645 | IF ( jk <= nbld(ji,jj) ) THEN |
---|
2646 | znd = gdepw(ji,jj,jk,Kmm) / phbl(ji,jj) |
---|
2647 | IF ( znd < 1.0 ) THEN |
---|
2648 | zdudz_pyc = zugrad * EXP( -40.0_wp * ( znd - 1.0_wp )**2 ) |
---|
2649 | ELSE |
---|
2650 | zdudz_pyc = zugrad * EXP( -20.0_wp * ( znd - 1.0_wp )**2 ) |
---|
2651 | ENDIF |
---|
2652 | zdvdz_pyc = zvgrad * EXP( -20.0_wp * ( znd - 0.85_wp )**2 ) |
---|
2653 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + pviscos(ji,jj,jk) * zdudz_pyc |
---|
2654 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + pviscos(ji,jj,jk) * zdvdz_pyc |
---|
2655 | IF ( ln_dia_pyc_shr ) THEN |
---|
2656 | z3ddz_pyc_1(ji,jj,jk) = zdudz_pyc |
---|
2657 | z3ddz_pyc_2(ji,jj,jk) = zdvdz_pyc |
---|
2658 | END IF |
---|
2659 | END IF |
---|
2660 | END IF |
---|
2661 | END IF |
---|
2662 | END_3D |
---|
2663 | IF ( ln_dia_pyc_shr ) THEN ! Output of pycnocline shear profiles |
---|
2664 | CALL zdf_osm_iomput( "zdudz_pyc", wmask(A2D(0),:) * z3ddz_pyc_1(A2D(0),:) ) |
---|
2665 | CALL zdf_osm_iomput( "zdvdz_pyc", wmask(A2D(0),:) * z3ddz_pyc_2(A2D(0),:) ) |
---|
2666 | END IF |
---|
2667 | IF ( ln_dia_osm ) THEN |
---|
2668 | CALL zdf_osm_iomput( "ghamu_b", wmask(A2D(0),:) * ghamu(A2D(0),:) ) |
---|
2669 | CALL zdf_osm_iomput( "ghamv_b", wmask(A2D(0),:) * ghamv(A2D(0),:) ) |
---|
2670 | END IF |
---|
2671 | IF ( ln_dia_pyc_scl .OR. ln_dia_pyc_shr ) THEN ! Deallocate arrays used for output of pycnocline gradient/shear profiles |
---|
2672 | DEALLOCATE( z3ddz_pyc_1, z3ddz_pyc_2 ) |
---|
2673 | END IF |
---|
2674 | ! |
---|
2675 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2676 | ghamt(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
2677 | ghams(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
2678 | ghamu(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
2679 | ghamv(ji,jj,nbld(ji,jj)) = 0.0_wp |
---|
2680 | END_2D |
---|
2681 | ! |
---|
2682 | IF ( ln_dia_osm ) THEN |
---|
2683 | CALL zdf_osm_iomput( "ghamu_1", wmask(A2D(0),:) * ghamu(A2D(0),:) ) |
---|
2684 | CALL zdf_osm_iomput( "ghamv_1", wmask(A2D(0),:) * ghamv(A2D(0),:) ) |
---|
2685 | CALL zdf_osm_iomput( "zviscos", wmask(A2D(0),:) * pviscos(A2D(0),:) ) |
---|
2686 | END IF |
---|
2687 | ! |
---|
2688 | END SUBROUTINE zdf_osm_fgr_terms |
---|
2689 | |
---|
2690 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( Kmm, pmld, pdtdx, pdtdy, pdsdx, & |
---|
2691 | & pdsdy, pdbds_mle ) |
---|
2692 | !!---------------------------------------------------------------------- |
---|
2693 | !! *** ROUTINE zdf_osm_zmld_horizontal_gradients *** |
---|
2694 | !! |
---|
2695 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with |
---|
2696 | !! Fox-Kemper parametrization |
---|
2697 | !! |
---|
2698 | !! ** Method : |
---|
2699 | !! |
---|
2700 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
2701 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
2702 | !! |
---|
2703 | !!---------------------------------------------------------------------- |
---|
2704 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
2705 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT( out) :: pmld ! == Estimated FK BLD used for MLE horizontal gradients == ! |
---|
2706 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdtdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
2707 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdtdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
2708 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdsdx ! Horizontal gradient for Fox-Kemper parametrization |
---|
2709 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(inout) :: pdsdy ! Horizontal gradient for Fox-Kemper parametrization |
---|
2710 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
2711 | !! |
---|
2712 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
2713 | INTEGER, DIMENSION(A2D(nn_hls)) :: jk_mld_prof ! Base level of MLE layer |
---|
2714 | INTEGER :: ikt, ikmax ! Local integers |
---|
2715 | REAL(wp) :: zc |
---|
2716 | REAL(wp) :: zN2_c ! Local buoyancy difference from 10m value |
---|
2717 | REAL(wp), DIMENSION(A2D(nn_hls)) :: ztm |
---|
2718 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zsm |
---|
2719 | REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: ztsm_midu |
---|
2720 | REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: ztsm_midv |
---|
2721 | REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: zabu |
---|
2722 | REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: zabv |
---|
2723 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zmld_midu |
---|
2724 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zmld_midv |
---|
2725 | !!---------------------------------------------------------------------- |
---|
2726 | ! |
---|
2727 | ! == MLD used for MLE ==! |
---|
2728 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
2729 | jk_mld_prof(ji,jj) = nlb10 ! Initialization to the number of w ocean point |
---|
2730 | pmld(ji,jj) = 0.0_wp ! Here hmlp used as a dummy variable, integrating vertically N^2 |
---|
2731 | END_2D |
---|
2732 | zN2_c = grav * rn_osm_mle_rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
2733 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, nlb10, jpkm1 ) |
---|
2734 | ikt = mbkt(ji,jj) |
---|
2735 | pmld(ji,jj) = pmld(ji,jj) + MAX( rn2b(ji,jj,jk), 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
2736 | IF( pmld(ji,jj) < zN2_c ) jk_mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
2737 | END_3D |
---|
2738 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
2739 | jk_mld_prof(ji,jj) = MAX( jk_mld_prof(ji,jj), nbld(ji,jj) ) ! Ensure jk_mld_prof .ge. nbld |
---|
2740 | pmld(ji,jj) = gdepw(ji,jj,jk_mld_prof(ji,jj),Kmm) |
---|
2741 | END_2D |
---|
2742 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2743 | mld_prof(ji,jj) = jk_mld_prof(ji,jj) |
---|
2744 | END_2D |
---|
2745 | ! |
---|
2746 | ikmax = MIN( MAXVAL( jk_mld_prof(A2D(nn_hls)) ), jpkm1 ) ! Max level of the computation |
---|
2747 | ztm(:,:) = 0.0_wp |
---|
2748 | zsm(:,:) = 0.0_wp |
---|
2749 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, ikmax ) |
---|
2750 | zc = e3t(ji,jj,jk,Kmm) * REAL( MIN( MAX( 0, jk_mld_prof(ji,jj) - jk ), 1 ), KIND=wp ) ! zc being 0 outside the ML |
---|
2751 | ! ! t-points |
---|
2752 | ztm(ji,jj) = ztm(ji,jj) + zc * ts(ji,jj,jk,jp_tem,Kmm) |
---|
2753 | zsm(ji,jj) = zsm(ji,jj) + zc * ts(ji,jj,jk,jp_sal,Kmm) |
---|
2754 | END_3D |
---|
2755 | ! Average temperature and salinity |
---|
2756 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
2757 | ztm(ji,jj) = ztm(ji,jj) / MAX( e3t(ji,jj,1,Kmm), pmld(ji,jj) ) |
---|
2758 | zsm(ji,jj) = zsm(ji,jj) / MAX( e3t(ji,jj,1,Kmm), pmld(ji,jj) ) |
---|
2759 | END_2D |
---|
2760 | ! Calculate horizontal gradients at u & v points |
---|
2761 | zmld_midu(:,:) = 0.0_wp |
---|
2762 | ztsm_midu(:,:,:) = 10.0_wp |
---|
2763 | DO_2D( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2764 | pdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
2765 | pdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm(ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
2766 | zmld_midu(ji,jj) = 0.25_wp * ( pmld(ji+1,jj) + pmld(ji,jj)) |
---|
2767 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji+1,jj) + ztm( ji,jj) ) |
---|
2768 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji+1,jj) + zsm( ji,jj) ) |
---|
2769 | END_2D |
---|
2770 | zmld_midv(:,:) = 0.0_wp |
---|
2771 | ztsm_midv(:,:,:) = 10.0_wp |
---|
2772 | DO_2D( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 ) |
---|
2773 | pdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
2774 | pdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm(ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
2775 | zmld_midv(ji,jj) = 0.25_wp * ( pmld(ji,jj+1) + pmld( ji,jj) ) |
---|
2776 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm( ji,jj+1) + ztm( ji,jj) ) |
---|
2777 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm( ji,jj+1) + zsm( ji,jj) ) |
---|
2778 | END_2D |
---|
2779 | CALL eos_rab( ztsm_midu, zmld_midu, zabu, Kmm ) |
---|
2780 | CALL eos_rab( ztsm_midv, zmld_midv, zabv, Kmm ) |
---|
2781 | DO_2D_OVR( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2782 | dbdx_mle(ji,jj) = grav * ( pdtdx(ji,jj) * zabu(ji,jj,jp_tem) - pdsdx(ji,jj) * zabu(ji,jj,jp_sal) ) |
---|
2783 | END_2D |
---|
2784 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 ) |
---|
2785 | dbdy_mle(ji,jj) = grav * ( pdtdy(ji,jj) * zabv(ji,jj,jp_tem) - pdsdy(ji,jj) * zabv(ji,jj,jp_sal) ) |
---|
2786 | END_2D |
---|
2787 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2788 | pdbds_mle(ji,jj) = SQRT( 0.5_wp * ( dbdx_mle(ji, jj) * dbdx_mle(ji, jj) + dbdy_mle(ji,jj ) * dbdy_mle(ji,jj ) + & |
---|
2789 | & dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
---|
2790 | END_2D |
---|
2791 | ! |
---|
2792 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
2793 | |
---|
2794 | SUBROUTINE zdf_osm_osbl_state_fk( Kmm, pwb_fk, phbl, phmle, pwb_ent, & |
---|
2795 | & pdbds_mle ) |
---|
2796 | !!--------------------------------------------------------------------- |
---|
2797 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
---|
2798 | !! |
---|
2799 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is |
---|
2800 | !! returned in the logicals l_pyc, l_flux and ldmle. Used |
---|
2801 | !! with Fox-Kemper scheme. |
---|
2802 | !! l_pyc :: determines whether pycnocline flux-grad |
---|
2803 | !! relationship needs to be determined |
---|
2804 | !! l_flux :: determines whether effects of surface flux |
---|
2805 | !! extend below the base of the OSBL |
---|
2806 | !! ldmle :: determines whether the layer with MLE is |
---|
2807 | !! increasing with time or if base is relaxing |
---|
2808 | !! towards hbl |
---|
2809 | !! |
---|
2810 | !! ** Method : |
---|
2811 | !! |
---|
2812 | !!---------------------------------------------------------------------- |
---|
2813 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
2814 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pwb_fk |
---|
2815 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
2816 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phmle ! MLE depth |
---|
2817 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux |
---|
2818 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
2819 | !! |
---|
2820 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
2821 | REAL(wp), DIMENSION(A2D(nn_hls-1)) :: znd_param |
---|
2822 | REAL(wp) :: zthermal, zbeta |
---|
2823 | REAL(wp) :: zbuoy |
---|
2824 | REAL(wp) :: ztmp |
---|
2825 | REAL(wp) :: zpe_mle_layer |
---|
2826 | REAL(wp) :: zpe_mle_ref |
---|
2827 | REAL(wp) :: zdbdz_mle_int |
---|
2828 | !!---------------------------------------------------------------------- |
---|
2829 | ! |
---|
2830 | znd_param(:,:) = 0.0_wp |
---|
2831 | ! |
---|
2832 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2833 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
2834 | pwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * pdbds_mle(ji,jj) * pdbds_mle(ji,jj) |
---|
2835 | END_2D |
---|
2836 | ! |
---|
2837 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2838 | ! |
---|
2839 | IF ( l_conv(ji,jj) ) THEN |
---|
2840 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN |
---|
2841 | av_t_mle(ji,jj) = ( av_t_mle(ji,jj) * phmle(ji,jj) - av_t_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
2842 | av_s_mle(ji,jj) = ( av_s_mle(ji,jj) * phmle(ji,jj) - av_s_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
2843 | av_b_mle(ji,jj) = ( av_b_mle(ji,jj) * phmle(ji,jj) - av_b_bl(ji,jj) * phbl(ji,jj) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
2844 | zdbdz_mle_int = ( av_b_bl(ji,jj) - ( 2.0_wp * av_b_mle(ji,jj) - av_b_bl(ji,jj) ) ) / ( phmle(ji,jj) - phbl(ji,jj) ) |
---|
2845 | ! Calculate potential energies of actual profile and reference profile |
---|
2846 | zpe_mle_layer = 0.0_wp |
---|
2847 | zpe_mle_ref = 0.0_wp |
---|
2848 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
2849 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2850 | DO jk = nbld(ji,jj), mld_prof(ji,jj) |
---|
2851 | zbuoy = grav * ( zthermal * ts(ji,jj,jk,jp_tem,Kmm) - zbeta * ts(ji,jj,jk,jp_sal,Kmm) ) |
---|
2852 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
2853 | zpe_mle_ref = zpe_mle_ref + ( av_b_bl(ji,jj) - zdbdz_mle_int * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) ) * & |
---|
2854 | & gdepw(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
---|
2855 | END DO |
---|
2856 | ! Non-dimensional parameter to diagnose the presence of thermocline |
---|
2857 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / & |
---|
2858 | & ( MAX( pwb_fk(ji,jj), 1e-10 ) * phmle(ji,jj) ) |
---|
2859 | END IF |
---|
2860 | END IF |
---|
2861 | ! |
---|
2862 | END_2D |
---|
2863 | ! |
---|
2864 | ! Diagnosis |
---|
2865 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2866 | ! |
---|
2867 | IF ( l_conv(ji,jj) ) THEN |
---|
2868 | IF ( -2.0_wp * pwb_fk(ji,jj) / pwb_ent(ji,jj) > 0.5_wp ) THEN |
---|
2869 | IF ( phmle(ji,jj) > 1.2_wp * phbl(ji,jj) ) THEN ! MLE layer growing |
---|
2870 | IF ( znd_param (ji,jj) > 100.0_wp ) THEN ! Thermocline present |
---|
2871 | l_flux(ji,jj) = .FALSE. |
---|
2872 | l_mle(ji,jj) = .FALSE. |
---|
2873 | ELSE ! Thermocline not present |
---|
2874 | l_flux(ji,jj) = .TRUE. |
---|
2875 | l_mle(ji,jj) = .TRUE. |
---|
2876 | ENDIF ! znd_param > 100 |
---|
2877 | ! |
---|
2878 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
2879 | l_pyc(ji,jj) = .FALSE. |
---|
2880 | ELSE |
---|
2881 | l_pyc(ji,jj) = .TRUE. |
---|
2882 | ENDIF |
---|
2883 | ELSE ! MLE layer restricted to OSBL or just below |
---|
2884 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) THEN ! Weak stratification MLE layer can grow |
---|
2885 | l_pyc(ji,jj) = .FALSE. |
---|
2886 | l_flux(ji,jj) = .TRUE. |
---|
2887 | l_mle(ji,jj) = .TRUE. |
---|
2888 | ELSE ! Strong stratification |
---|
2889 | l_pyc(ji,jj) = .TRUE. |
---|
2890 | l_flux(ji,jj) = .FALSE. |
---|
2891 | l_mle(ji,jj) = .FALSE. |
---|
2892 | END IF ! av_db_bl < rn_mle_thresh_bl and |
---|
2893 | END IF ! phmle > 1.2 phbl |
---|
2894 | ELSE |
---|
2895 | l_pyc(ji,jj) = .TRUE. |
---|
2896 | l_flux(ji,jj) = .FALSE. |
---|
2897 | l_mle(ji,jj) = .FALSE. |
---|
2898 | IF ( av_db_bl(ji,jj) < rn_osm_bl_thresh ) l_pyc(ji,jj) = .FALSE. |
---|
2899 | END IF ! -2.0 * pwb_fk(ji,jj) / pwb_ent > 0.5 |
---|
2900 | ELSE ! Stable Boundary Layer |
---|
2901 | l_pyc(ji,jj) = .FALSE. |
---|
2902 | l_flux(ji,jj) = .FALSE. |
---|
2903 | l_mle(ji,jj) = .FALSE. |
---|
2904 | END IF ! l_conv |
---|
2905 | ! |
---|
2906 | END_2D |
---|
2907 | ! |
---|
2908 | END SUBROUTINE zdf_osm_osbl_state_fk |
---|
2909 | |
---|
2910 | SUBROUTINE zdf_osm_mle_parameters( Kmm, pmld, phmle, pvel_mle, pdiff_mle, & |
---|
2911 | & pdbds_mle, phbl, pwb0tot ) |
---|
2912 | !!---------------------------------------------------------------------- |
---|
2913 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
2914 | !! |
---|
2915 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates |
---|
2916 | !! the mixed layer eddy fluxes for buoyancy, heat and |
---|
2917 | !! salinity. |
---|
2918 | !! |
---|
2919 | !! ** Method : |
---|
2920 | !! |
---|
2921 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
2922 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
2923 | !! |
---|
2924 | !!---------------------------------------------------------------------- |
---|
2925 | INTEGER, INTENT(in ) :: Kmm ! Time-level index |
---|
2926 | REAL(wp), DIMENSION(A2D(nn_hls)), INTENT(in ) :: pmld ! == Estimated FK BLD used for MLE horiz gradients == ! |
---|
2927 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phmle ! MLE depth |
---|
2928 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pvel_mle ! Velocity scale for dhdt with stable ML and FK |
---|
2929 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdiff_mle ! Extra MLE vertical diff |
---|
2930 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbds_mle ! Magnitude of horizontal buoyancy gradient |
---|
2931 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth |
---|
2932 | REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb0tot ! Total surface buoyancy flux including insolation |
---|
2933 | !! |
---|
2934 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
2935 | REAL(wp) :: ztmp |
---|
2936 | REAL(wp) :: zdbdz |
---|
2937 | REAL(wp) :: zdtdz |
---|
2938 | REAL(wp) :: zdsdz |
---|
2939 | REAL(wp) :: zthermal |
---|
2940 | REAL(wp) :: zbeta |
---|
2941 | REAL(wp) :: zbuoy |
---|
2942 | REAL(wp) :: zdb_mle |
---|
2943 | !!---------------------------------------------------------------------- |
---|
2944 | ! |
---|
2945 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE |
---|
2946 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2947 | IF ( l_conv(ji,jj) ) THEN |
---|
2948 | ztmp = r1_ft(ji,jj) * MIN( 111e3_wp, e1u(ji,jj) ) / rn_osm_mle_lf |
---|
2949 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt |
---|
2950 | pvel_mle(ji,jj) = pdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
2951 | pdiff_mle(ji,jj) = 5e-4_wp * rn_osm_mle_ce * ztmp * pdbds_mle(ji,jj) * phmle(ji,jj)**2 |
---|
2952 | END IF |
---|
2953 | END_2D |
---|
2954 | ! Timestep mixed layer eddy depth |
---|
2955 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2956 | IF ( l_mle(ji,jj) ) THEN ! MLE layer growing |
---|
2957 | ! Buoyancy gradient at base of MLE layer |
---|
2958 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
2959 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2960 | zbuoy = grav * ( zthermal * ts(ji,jj,mld_prof(ji,jj)+2,jp_tem,Kmm) - & |
---|
2961 | & zbeta * ts(ji,jj,mld_prof(ji,jj)+2,jp_sal,Kmm) ) |
---|
2962 | zdb_mle = av_b_bl(ji,jj) - zbuoy |
---|
2963 | ! Timestep hmle |
---|
2964 | hmle(ji,jj) = hmle(ji,jj) + pwb0tot(ji,jj) * rn_Dt / zdb_mle |
---|
2965 | ELSE |
---|
2966 | IF ( phmle(ji,jj) > phbl(ji,jj) ) THEN |
---|
2967 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
2968 | ELSE |
---|
2969 | hmle(ji,jj) = hmle(ji,jj) - 10.0_wp * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_Dt / rn_osm_mle_tau |
---|
2970 | END IF |
---|
2971 | END IF |
---|
2972 | hmle(ji,jj) = MAX( MIN( hmle(ji,jj), ht(ji,jj) ), gdepw(ji,jj,4,Kmm) ) |
---|
2973 | IF ( ln_osm_hmle_limit ) hmle(ji,jj) = MIN( hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
---|
2974 | hmle(ji,jj) = pmld(ji,jj) ! For now try just set hmle to pmld |
---|
2975 | END_2D |
---|
2976 | ! |
---|
2977 | DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 5, jpkm1 ) |
---|
2978 | IF ( hmle(ji,jj) >= gdepw(ji,jj,jk,Kmm) ) mld_prof(ji,jj) = MIN( mbkt(ji,jj), jk ) |
---|
2979 | END_3D |
---|
2980 | DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
2981 | phmle(ji,jj) = gdepw(ji,jj,mld_prof(ji,jj),Kmm) |
---|
2982 | END_2D |
---|
2983 | ! |
---|
2984 | END SUBROUTINE zdf_osm_mle_parameters |
---|
2985 | |
---|
2986 | SUBROUTINE zdf_osm_init( Kmm ) |
---|
2987 | !!---------------------------------------------------------------------- |
---|
2988 | !! *** ROUTINE zdf_osm_init *** |
---|
2989 | !! |
---|
2990 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
2991 | !! viscosity when using a osm turbulent closure scheme |
---|
2992 | !! |
---|
2993 | !! ** Method : Read the namosm namelist and check the parameters |
---|
2994 | !! called at the first timestep (nit000) |
---|
2995 | !! |
---|
2996 | !! ** input : Namlists namzdf_osm and namosm_mle |
---|
2997 | !! |
---|
2998 | !!---------------------------------------------------------------------- |
---|
2999 | INTEGER, INTENT(in ) :: Kmm ! Time level |
---|
3000 | !! |
---|
3001 | INTEGER :: ios ! Local integer |
---|
3002 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3003 | REAL(wp) :: z1_t2 |
---|
3004 | !! |
---|
3005 | REAL(wp), PARAMETER :: pp_large = -1e10_wp |
---|
3006 | !! |
---|
3007 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave, nn_osm_wave, & |
---|
3008 | & ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd, ln_kpprimix, rn_riinfty, & |
---|
3009 | & rn_difri, ln_convmix, rn_difconv, nn_osm_wave, nn_osm_SD_reduce, & |
---|
3010 | & ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
---|
3011 | !! Namelist for Fox-Kemper parametrization |
---|
3012 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat, & |
---|
3013 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
3014 | !!---------------------------------------------------------------------- |
---|
3015 | ! |
---|
3016 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
3017 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
3018 | |
---|
3019 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
3020 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
3021 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
3022 | |
---|
3023 | IF(lwp) THEN ! Control print |
---|
3024 | WRITE(numout,*) |
---|
3025 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
3026 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
3027 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
3028 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
3029 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
3030 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
3031 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
3032 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
3033 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
3034 | WRITE(numout,*) ' Horizontal average flag nn_ave = ', nn_ave |
---|
3035 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
3036 | SELECT CASE (nn_osm_wave) |
---|
3037 | CASE(0) |
---|
3038 | WRITE(numout,*) ' Calculated assuming constant La#=0.3' |
---|
3039 | CASE(1) |
---|
3040 | WRITE(numout,*) ' Calculated from Pierson Moskowitz wind-waves' |
---|
3041 | CASE(2) |
---|
3042 | WRITE(numout,*) ' Calculated from ECMWF wave fields' |
---|
3043 | END SELECT |
---|
3044 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce = ', nn_osm_SD_reduce |
---|
3045 | WRITE(numout,*) ' Fraction of hbl to average SD over/fit' |
---|
3046 | WRITE(numout,*) ' Exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
3047 | SELECT CASE (nn_osm_SD_reduce) |
---|
3048 | CASE(0) |
---|
3049 | WRITE(numout,*) ' No reduction' |
---|
3050 | CASE(1) |
---|
3051 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
3052 | CASE(2) |
---|
3053 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
3054 | END SELECT |
---|
3055 | WRITE(numout,*) ' Reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter = ', ln_zdfosm_ice_shelter |
---|
3056 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
3057 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, & |
---|
3058 | & 'm^2/s' |
---|
3059 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
3060 | WRITE(numout,*) ' Local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
3061 | WRITE(numout,*) ' Maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
3062 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
3063 | WRITE(numout,*) ' Diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
3064 | ENDIF |
---|
3065 | ! |
---|
3066 | ! ! Check wave coupling settings ! |
---|
3067 | ! ! Further work needed - see ticket #2447 ! |
---|
3068 | IF ( nn_osm_wave == 2 ) THEN |
---|
3069 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
---|
3070 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
---|
3071 | END IF |
---|
3072 | ! |
---|
3073 | ! Flags associated with diagnostic output |
---|
3074 | IF ( ln_dia_osm .AND. ( iom_use("zdudz_pyc") .OR. iom_use("zdvdz_pyc") ) ) ln_dia_pyc_shr = .TRUE. |
---|
3075 | IF ( ln_dia_osm .AND. ( iom_use("zdtdz_pyc") .OR. iom_use("zdsdz_pyc") .OR. iom_use("zdbdz_pyc" ) ) ) ln_dia_pyc_scl = .TRUE. |
---|
3076 | ! |
---|
3077 | ! Allocate zdfosm arrays |
---|
3078 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
3079 | ! |
---|
3080 | IF( ln_osm_mle ) THEN ! Initialise Fox-Kemper parametrization |
---|
3081 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
3082 | 903 IF( ios /= 0 ) CALL ctl_nam( ios, 'namosm_mle in reference namelist' ) |
---|
3083 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
3084 | 904 IF( ios > 0 ) CALL ctl_nam( ios, 'namosm_mle in configuration namelist' ) |
---|
3085 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
3086 | ! |
---|
3087 | IF(lwp) THEN ! Namelist print |
---|
3088 | WRITE(numout,*) |
---|
3089 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
3090 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
3091 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
3092 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
3093 | WRITE(numout,*) ' Magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
3094 | WRITE(numout,*) ' Scale of ML front (ML radius of deform.) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, & |
---|
3095 | & 'm' |
---|
3096 | WRITE(numout,*) ' Maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', & |
---|
3097 | & rn_osm_mle_time, 's' |
---|
3098 | WRITE(numout,*) ' Reference latitude (deg) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, & |
---|
3099 | & 'deg' |
---|
3100 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
3101 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', & |
---|
3102 | & rn_osm_mle_thresh, 'm^2/s' |
---|
3103 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
3104 | WRITE(numout,*) ' Switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
3105 | WRITE(numout,*) ' hmle limit (fraction of zmld) (ln_osm_hmle_limit = .T.) rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
3106 | END IF |
---|
3107 | END IF |
---|
3108 | ! |
---|
3109 | IF(lwp) THEN |
---|
3110 | WRITE(numout,*) |
---|
3111 | IF ( ln_osm_mle ) THEN |
---|
3112 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
3113 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
3114 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
3115 | ELSE |
---|
3116 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
3117 | END IF |
---|
3118 | END IF |
---|
3119 | ! |
---|
3120 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
3121 | ! |
---|
3122 | rb_c = grav * rn_osm_mle_rho_c / rho0 ! Mixed Layer buoyancy criteria |
---|
3123 | IF(lwp) WRITE(numout,*) |
---|
3124 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
3125 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
3126 | ! |
---|
3127 | IF( nn_osm_mle == 1 ) THEN |
---|
3128 | rc_f = rn_osm_mle_ce / ( 5e3_wp * 2.0_wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
3129 | END IF |
---|
3130 | ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
3131 | z1_t2 = 2e-5_wp |
---|
3132 | DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) |
---|
3133 | r1_ft(ji,jj) = MIN( 1.0_wp / ( ABS( ff_t(ji,jj)) + epsln ), ABS( ff_t(ji,jj) ) / z1_t2**2 ) |
---|
3134 | END_2D |
---|
3135 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
3136 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
3137 | ! |
---|
3138 | END IF |
---|
3139 | ! |
---|
3140 | CALL osm_rst( nit000, Kmm, 'READ' ) ! Read or initialize hbl, dh, hmle |
---|
3141 | ! |
---|
3142 | IF ( ln_zdfddm ) THEN |
---|
3143 | IF(lwp) THEN |
---|
3144 | WRITE(numout,*) |
---|
3145 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
3146 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
3147 | END IF |
---|
3148 | END IF |
---|
3149 | ! |
---|
3150 | ! Set constants not in namelist |
---|
3151 | ! ----------------------------- |
---|
3152 | IF(lwp) THEN |
---|
3153 | WRITE(numout,*) |
---|
3154 | END IF |
---|
3155 | ! |
---|
3156 | dstokes(:,:) = pp_large |
---|
3157 | IF (nn_osm_wave == 0) THEN |
---|
3158 | dstokes(:,:) = rn_osm_dstokes |
---|
3159 | END IF |
---|
3160 | ! |
---|
3161 | ! Horizontal average : initialization of weighting arrays |
---|
3162 | ! ------------------- |
---|
3163 | SELECT CASE ( nn_ave ) |
---|
3164 | CASE ( 0 ) ! no horizontal average |
---|
3165 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
3166 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
3167 | ! Weighting mean arrays etmean |
---|
3168 | ! ( 1 1 ) |
---|
3169 | ! avt = 1/4 ( 1 1 ) |
---|
3170 | ! |
---|
3171 | etmean(:,:,:) = 0.0_wp |
---|
3172 | ! |
---|
3173 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
---|
3174 | etmean(ji,jj,jk) = tmask(ji,jj,jk) / MAX( 1.0_wp, umask(ji-1,jj, jk) + umask(ji,jj,jk) + & |
---|
3175 | & vmask(ji, jj-1,jk) + vmask(ji,jj,jk) ) |
---|
3176 | END_3D |
---|
3177 | CASE ( 1 ) ! horizontal average |
---|
3178 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
3179 | ! Weighting mean arrays etmean |
---|
3180 | ! ( 1/2 1 1/2 ) |
---|
3181 | ! avt = 1/8 ( 1 2 1 ) |
---|
3182 | ! ( 1/2 1 1/2 ) |
---|
3183 | etmean(:,:,:) = 0.0_wp |
---|
3184 | ! |
---|
3185 | DO_3D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 1, jpkm1 ) |
---|
3186 | etmean(ji,jj,jk) = tmask(ji, jj,jk) / MAX( 1.0_wp, 2.0_wp * tmask(ji,jj,jk) + & |
---|
3187 | & 0.5_wp * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) + & |
---|
3188 | & tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) + & |
---|
3189 | & 1.0_wp * ( tmask(ji-1,jj, jk) + tmask(ji, jj+1,jk) + & |
---|
3190 | & tmask(ji, jj-1,jk) + tmask(ji+1,jj, jk) ) ) |
---|
3191 | END_3D |
---|
3192 | CASE DEFAULT |
---|
3193 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
3194 | CALL ctl_stop( ctmp1 ) |
---|
3195 | END SELECT |
---|
3196 | ! |
---|
3197 | ! Initialization of vertical eddy coef. to the background value |
---|
3198 | ! ------------------------------------------------------------- |
---|
3199 | DO jk = 1, jpk |
---|
3200 | avt(:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
3201 | END DO |
---|
3202 | ! |
---|
3203 | ! Zero the surface flux for non local term and osm mixed layer depth |
---|
3204 | ! ------------------------------------------------------------------ |
---|
3205 | ghamt(:,:,:) = 0.0_wp |
---|
3206 | ghams(:,:,:) = 0.0_wp |
---|
3207 | ghamu(:,:,:) = 0.0_wp |
---|
3208 | ghamv(:,:,:) = 0.0_wp |
---|
3209 | ! |
---|
3210 | IF ( ln_dia_osm ) THEN ! Initialise auxiliary arrays for diagnostic output |
---|
3211 | osmdia2d(:,:) = 0.0_wp |
---|
3212 | osmdia3d(:,:,:) = 0.0_wp |
---|
3213 | END IF |
---|
3214 | ! |
---|
3215 | END SUBROUTINE zdf_osm_init |
---|
3216 | |
---|
3217 | SUBROUTINE osm_rst( kt, Kmm, cdrw ) |
---|
3218 | !!--------------------------------------------------------------------- |
---|
3219 | !! *** ROUTINE osm_rst *** |
---|
3220 | !! |
---|
3221 | !! ** Purpose : Read or write BL fields in restart file |
---|
3222 | !! |
---|
3223 | !! ** Method : use of IOM library. If the restart does not contain |
---|
3224 | !! required fields, they are recomputed from stratification |
---|
3225 | !! |
---|
3226 | !!---------------------------------------------------------------------- |
---|
3227 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
3228 | INTEGER , INTENT(in ) :: Kmm ! Ocean time level index (middle) |
---|
3229 | CHARACTER(len=*), INTENT(in ) :: cdrw ! "READ"/"WRITE" flag |
---|
3230 | !! |
---|
3231 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
3232 | INTEGER :: ji, jj, jk ! Dummy loop indices |
---|
3233 | INTEGER :: iiki, ikt ! Local integer |
---|
3234 | REAL(wp) :: zhbf ! Tempory scalars |
---|
3235 | REAL(wp) :: zN2_c ! Local scalar |
---|
3236 | REAL(wp) :: rho_c = 0.01_wp ! Density criterion for mixed layer depth |
---|
3237 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! Level of mixed-layer depth (pycnocline top) |
---|
3238 | !!---------------------------------------------------------------------- |
---|
3239 | ! |
---|
3240 | !!----------------------------------------------------------------------------- |
---|
3241 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
3242 | !!----------------------------------------------------------------------------- |
---|
3243 | IF( TRIM(cdrw) == 'READ' .AND. ln_rstart) THEN |
---|
3244 | id1 = iom_varid( numror, 'wn', ldstop = .FALSE. ) |
---|
3245 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
3246 | CALL iom_get( numror, jpdom_auto, 'wn', ww ) |
---|
3247 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
3248 | ELSE |
---|
3249 | ww(:,:,:) = 0.0_wp |
---|
3250 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3251 | END IF |
---|
3252 | ! |
---|
3253 | id1 = iom_varid( numror, 'hbl', ldstop = .FALSE. ) |
---|
3254 | id2 = iom_varid( numror, 'dh', ldstop = .FALSE. ) |
---|
3255 | IF( id1 > 0 .AND. id2 > 0 ) THEN ! 'hbl' exists; read and return |
---|
3256 | CALL iom_get( numror, jpdom_auto, 'hbl', hbl ) |
---|
3257 | CALL iom_get( numror, jpdom_auto, 'dh', dh ) |
---|
3258 | hml(:,:) = hbl(:,:) - dh(:,:) ! Initialise ML depth |
---|
3259 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
3260 | IF( ln_osm_mle ) THEN |
---|
3261 | id3 = iom_varid( numror, 'hmle', ldstop = .FALSE. ) |
---|
3262 | IF( id3 > 0 ) THEN |
---|
3263 | CALL iom_get( numror, jpdom_auto, 'hmle', hmle ) |
---|
3264 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
3265 | ELSE |
---|
3266 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
3267 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth |
---|
3268 | END IF |
---|
3269 | END IF |
---|
3270 | RETURN |
---|
3271 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
3272 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
3273 | END IF |
---|
3274 | END IF |
---|
3275 | ! |
---|
3276 | !!----------------------------------------------------------------------------- |
---|
3277 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
3278 | !!----------------------------------------------------------------------------- |
---|
3279 | IF ( TRIM(cdrw) == 'WRITE' ) THEN |
---|
3280 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
3281 | CALL iom_rstput( kt, nitrst, numrow, 'wn', ww ) |
---|
3282 | CALL iom_rstput( kt, nitrst, numrow, 'hbl', hbl ) |
---|
3283 | CALL iom_rstput( kt, nitrst, numrow, 'dh', dh ) |
---|
3284 | IF ( ln_osm_mle ) THEN |
---|
3285 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle ) |
---|
3286 | END IF |
---|
3287 | RETURN |
---|
3288 | END IF |
---|
3289 | ! |
---|
3290 | !!----------------------------------------------------------------------------- |
---|
3291 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
3292 | !!----------------------------------------------------------------------------- |
---|
3293 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
---|
3294 | ! w-level of the mixing and mixed layers |
---|
3295 | CALL eos_rab( ts(:,:,:,:,Kmm), rab_n, Kmm ) |
---|
3296 | CALL bn2( ts(:,:,:,:,Kmm), rab_n, rn2, Kmm ) |
---|
3297 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
3298 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
3299 | zN2_c = grav * rho_c * r1_rho0 ! Convert density criteria into N^2 criteria |
---|
3300 | ! |
---|
3301 | hbl(:,:) = 0.0_wp ! Here hbl used as a dummy variable, integrating vertically N^2 |
---|
3302 | DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, jpkm1 ) |
---|
3303 | ikt = mbkt(ji,jj) |
---|
3304 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0.0_wp ) * e3w(ji,jj,jk,Kmm) |
---|
3305 | IF ( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
3306 | END_3D |
---|
3307 | ! |
---|
3308 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
---|
3309 | iiki = MAX( 4, imld_rst(ji,jj) ) |
---|
3310 | hbl(ji,jj) = gdepw(ji,jj,iiki,Kmm ) ! Turbocline depth |
---|
3311 | dh(ji,jj) = e3t(ji,jj,iiki-1,Kmm ) ! Turbocline depth |
---|
3312 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
3313 | END_2D |
---|
3314 | ! |
---|
3315 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
3316 | ! |
---|
3317 | IF( ln_osm_mle ) THEN |
---|
3318 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
3319 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
3320 | END IF |
---|
3321 | ! |
---|
3322 | ww(:,:,:) = 0.0_wp |
---|
3323 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3324 | ! |
---|
3325 | END SUBROUTINE osm_rst |
---|
3326 | |
---|
3327 | SUBROUTINE tra_osm( kt, Kmm, pts, Krhs ) |
---|
3328 | !!---------------------------------------------------------------------- |
---|
3329 | !! *** ROUTINE tra_osm *** |
---|
3330 | !! |
---|
3331 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
3332 | !! |
---|
3333 | !! ** Method : ??? |
---|
3334 | !! |
---|
3335 | !!---------------------------------------------------------------------- |
---|
3336 | INTEGER , INTENT(in ) :: kt ! Time step index |
---|
3337 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Time level indices |
---|
3338 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! Active tracers and RHS of tracer equation |
---|
3339 | !! |
---|
3340 | INTEGER :: ji, jj, jk |
---|
3341 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
3342 | !!---------------------------------------------------------------------- |
---|
3343 | ! |
---|
3344 | IF ( kt == nit000 ) THEN |
---|
3345 | IF ( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
---|
3346 | IF(lwp) WRITE(numout,*) |
---|
3347 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
3348 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3349 | END IF |
---|
3350 | END IF |
---|
3351 | ! |
---|
3352 | IF ( l_trdtra ) THEN ! Save ta and sa trends |
---|
3353 | ALLOCATE( ztrdt(jpi,jpj,jpk), ztrds(jpi,jpj,jpk) ) |
---|
3354 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) |
---|
3355 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) |
---|
3356 | END IF |
---|
3357 | ! |
---|
3358 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
3359 | pts(ji,jj,jk,jp_tem,Krhs) = pts(ji,jj,jk,jp_tem,Krhs) & |
---|
3360 | & - ( ghamt(ji,jj,jk ) & |
---|
3361 | & - ghamt(ji,jj,jk+1) ) /e3t(ji,jj,jk,Kmm) |
---|
3362 | pts(ji,jj,jk,jp_sal,Krhs) = pts(ji,jj,jk,jp_sal,Krhs) & |
---|
3363 | & - ( ghams(ji,jj,jk ) & |
---|
3364 | & - ghams(ji,jj,jk+1) ) / e3t(ji,jj,jk,Kmm) |
---|
3365 | END_3D |
---|
3366 | ! |
---|
3367 | IF ( l_trdtra ) THEN ! Save the non-local tracer flux trends for diagnostics |
---|
3368 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) - ztrdt(:,:,:) |
---|
3369 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) - ztrds(:,:,:) |
---|
3370 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
3371 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
3372 | DEALLOCATE( ztrdt, ztrds ) |
---|
3373 | END IF |
---|
3374 | ! |
---|
3375 | IF ( sn_cfctl%l_prtctl ) THEN |
---|
3376 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
3377 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
3378 | END IF |
---|
3379 | ! |
---|
3380 | END SUBROUTINE tra_osm |
---|
3381 | |
---|
3382 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
3383 | !!---------------------------------------------------------------------- |
---|
3384 | !! *** ROUTINE trc_osm *** |
---|
3385 | !! |
---|
3386 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
3387 | !! passive tracer flux |
---|
3388 | !! |
---|
3389 | !! |
---|
3390 | !! ** Method : ??? |
---|
3391 | !! |
---|
3392 | !!---------------------------------------------------------------------- |
---|
3393 | INTEGER, INTENT(in) :: kt |
---|
3394 | !!---------------------------------------------------------------------- |
---|
3395 | ! |
---|
3396 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
3397 | ! |
---|
3398 | END SUBROUTINE trc_osm |
---|
3399 | |
---|
3400 | SUBROUTINE dyn_osm( kt, Kmm, puu, pvv, Krhs ) |
---|
3401 | !!---------------------------------------------------------------------- |
---|
3402 | !! *** ROUTINE dyn_osm *** |
---|
3403 | !! |
---|
3404 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
3405 | !! copied/modified from tra_osm |
---|
3406 | !! |
---|
3407 | !! ** Method : ??? |
---|
3408 | !! |
---|
3409 | !!---------------------------------------------------------------------- |
---|
3410 | INTEGER , INTENT(in ) :: kt ! Ocean time step index |
---|
3411 | INTEGER , INTENT(in ) :: Kmm, Krhs ! Ocean time level indices |
---|
3412 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! Ocean velocities and RHS of momentum equation |
---|
3413 | !! |
---|
3414 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3415 | !!---------------------------------------------------------------------- |
---|
3416 | ! |
---|
3417 | IF ( kt == nit000 ) THEN |
---|
3418 | IF(lwp) WRITE(numout,*) |
---|
3419 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
3420 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3421 | END IF |
---|
3422 | ! |
---|
3423 | ! Code saving tracer trends removed, replace with trdmxl_oce |
---|
3424 | ! |
---|
3425 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) ! Add non-local u and v fluxes |
---|
3426 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) - ( ghamu(ji,jj,jk ) - & |
---|
3427 | & ghamu(ji,jj,jk+1) ) / e3u(ji,jj,jk,Kmm) |
---|
3428 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) - ( ghamv(ji,jj,jk ) - & |
---|
3429 | & ghamv(ji,jj,jk+1) ) / e3v(ji,jj,jk,Kmm) |
---|
3430 | END_3D |
---|
3431 | ! |
---|
3432 | ! Code for saving tracer trends removed |
---|
3433 | ! |
---|
3434 | END SUBROUTINE dyn_osm |
---|
3435 | |
---|
3436 | SUBROUTINE zdf_osm_iomput_2d( cdname, posmdia2d ) |
---|
3437 | !!---------------------------------------------------------------------- |
---|
3438 | !! *** ROUTINE zdf_osm_iomput_2d *** |
---|
3439 | !! |
---|
3440 | !! ** Purpose : Wrapper for subroutine iom_put that accepts 2D arrays |
---|
3441 | !! with and without halo |
---|
3442 | !! |
---|
3443 | !!---------------------------------------------------------------------- |
---|
3444 | CHARACTER(LEN=*), INTENT(in ) :: cdname |
---|
3445 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: posmdia2d |
---|
3446 | !!---------------------------------------------------------------------- |
---|
3447 | ! |
---|
3448 | IF ( ln_dia_osm .AND. iom_use( cdname ) ) THEN |
---|
3449 | IF ( SIZE( posmdia2d, 1 ) == ntei-ntsi+1 .AND. SIZE( posmdia2d, 2 ) == ntej-ntsj+1 ) THEN ! Halo absent |
---|
3450 | osmdia2d(A2D(0)) = posmdia2d(:,:) |
---|
3451 | CALL iom_put( cdname, osmdia2d(A2D(nn_hls)) ) |
---|
3452 | ELSE ! Halo present |
---|
3453 | CALL iom_put( cdname, osmdia2d ) |
---|
3454 | END IF |
---|
3455 | END IF |
---|
3456 | ! |
---|
3457 | END SUBROUTINE zdf_osm_iomput_2d |
---|
3458 | |
---|
3459 | SUBROUTINE zdf_osm_iomput_3d( cdname, posmdia3d ) |
---|
3460 | !!---------------------------------------------------------------------- |
---|
3461 | !! *** ROUTINE zdf_osm_iomput_3d *** |
---|
3462 | !! |
---|
3463 | !! ** Purpose : Wrapper for subroutine iom_put that accepts 3D arrays |
---|
3464 | !! with and without halo |
---|
3465 | !! |
---|
3466 | !!---------------------------------------------------------------------- |
---|
3467 | CHARACTER(LEN=*), INTENT(in ) :: cdname |
---|
3468 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: posmdia3d |
---|
3469 | !!---------------------------------------------------------------------- |
---|
3470 | ! |
---|
3471 | IF ( ln_dia_osm .AND. iom_use( cdname ) ) THEN |
---|
3472 | IF ( SIZE( posmdia3d, 1 ) == ntei-ntsi+1 .AND. SIZE( posmdia3d, 2 ) == ntej-ntsj+1 ) THEN ! Halo absent |
---|
3473 | osmdia3d(A2D(0),:) = posmdia3d(:,:,:) |
---|
3474 | CALL iom_put( cdname, osmdia3d(A2D(nn_hls),:) ) |
---|
3475 | ELSE ! Halo present |
---|
3476 | CALL iom_put( cdname, osmdia3d ) |
---|
3477 | END IF |
---|
3478 | END IF |
---|
3479 | ! |
---|
3480 | END SUBROUTINE zdf_osm_iomput_3d |
---|
3481 | |
---|
3482 | !!====================================================================== |
---|
3483 | |
---|
3484 | END MODULE zdfosm |
---|