1 | MODULE zdfkpp |
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2 | !!====================================================================== |
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3 | !! *** MODULE zdfkpp *** |
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4 | !! Ocean physics: vertical mixing coefficient compute from the KPP |
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5 | !! turbulent closure parameterization |
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6 | !!===================================================================== |
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7 | !! History : OPA ! 2000-03 (W.G. Large, J. Chanut) Original code |
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8 | !! 8.1 ! 2002-06 (J.M. Molines) for real case CLIPPER |
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9 | !! 8.2 ! 2003-10 (Chanut J.) re-writting |
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10 | !! NEMO 1.0 ! 2005-01 (C. Ethe, G. Madec) Free form, F90 + creation of tra_kpp routine |
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11 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase + merge TRC-TRA |
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12 | !!---------------------------------------------------------------------- |
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13 | #if defined key_zdfkpp || defined key_esopa |
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14 | !!---------------------------------------------------------------------- |
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15 | !! 'key_zdfkpp' KPP scheme |
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16 | !!---------------------------------------------------------------------- |
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17 | !! zdf_kpp : update momentum and tracer Kz from a kpp scheme |
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18 | !! zdf_kpp_init : initialization, namelist read, and parameters control |
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19 | !! tra_kpp : compute and add to the T & S trend the non-local flux |
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20 | !! trc_kpp : compute and add to the passive tracer trend the non-local flux (lk_top=T) |
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21 | !!---------------------------------------------------------------------- |
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22 | USE oce ! ocean dynamics and active tracers |
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23 | USE dom_oce ! ocean space and time domain |
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24 | USE zdf_oce ! ocean vertical physics |
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25 | USE sbc_oce ! surface boundary condition: ocean |
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26 | USE phycst ! physical constants |
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27 | USE eosbn2 ! equation of state |
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28 | USE zdfddm ! double diffusion mixing |
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29 | USE in_out_manager ! I/O manager |
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30 | USE lib_mpp ! MPP library |
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31 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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32 | USE prtctl ! Print control |
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33 | USE trdmod_oce ! ocean trends definition |
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34 | USE trdtra ! tracers trends |
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35 | |
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36 | IMPLICIT NONE |
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37 | PRIVATE |
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38 | |
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39 | PUBLIC zdf_kpp ! routine called by step.F90 |
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40 | PUBLIC zdf_kpp_init ! routine called by opa.F90 |
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41 | PUBLIC tra_kpp ! routine called by step.F90 |
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42 | PUBLIC trc_kpp ! routine called by trcstp.F90 |
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43 | |
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44 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfkpp = .TRUE. !: KPP vertical mixing flag |
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45 | |
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46 | !! DCSE_NEMO: ghats does not need to be public |
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47 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghats !: non-local scalar mixing term (gamma/<ws>o) |
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48 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghats !: non-local scalar mixing term (gamma/<ws>o) |
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49 | |
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50 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wt0 !: surface temperature flux for non local flux |
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51 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ws0 !: surface salinity flux for non local flux |
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52 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hkpp !: boundary layer depth |
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53 | |
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54 | ! !!* Namelist namzdf_kpp * |
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55 | REAL(wp) :: rn_difmiw = 1.2e-04_wp ! constant internal wave viscosity (m2/s) |
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56 | REAL(wp) :: rn_difsiw = 1.2e-05_wp ! constant internal wave diffusivity (m2/s) |
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57 | REAL(wp) :: rn_riinfty = 0.8_wp ! local Richardson Number limit for shear instability |
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58 | REAL(wp) :: rn_difri = 5.e-03_wp ! maximum shear mixing at Rig = 0 (m2/s) |
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59 | REAL(wp) :: rn_bvsqcon = -1.e-09_wp ! Brunt-Vaisala squared (1/s**2) for maximum convection |
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60 | REAL(wp) :: rn_difcon = 1._wp ! maximum mixing in interior convection (m2/s) |
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61 | INTEGER :: nn_ave = 1 ! = 0/1 flag for horizontal average on avt, avmu, avmv |
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62 | |
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63 | #if defined key_zdfddm |
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64 | ! !!! ** Double diffusion Mixing |
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65 | REAL(wp) :: difssf = 1.e-03_wp ! maximum salt fingering mixing |
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66 | REAL(wp) :: Rrho0 = 1.9_wp ! limit for salt fingering mixing |
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67 | REAL(wp) :: difsdc = 1.5e-06_wp ! maximum diffusive convection mixing |
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68 | #endif |
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69 | LOGICAL :: ln_kpprimix = .TRUE. ! Shear instability mixing |
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70 | |
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71 | ! !!! ** General constants ** |
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72 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number |
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73 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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74 | REAL(wp) :: pfourth = 1._wp/4._wp ! 1/4 |
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75 | |
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76 | ! !!! ** Boundary Layer Turbulence Parameters ** |
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77 | REAL(wp) :: vonk = 0.4_wp ! von Karman's constant |
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78 | REAL(wp) :: epsilon = 0.1_wp ! nondimensional extent of the surface layer |
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79 | REAL(wp) :: rconc1 = 5.0_wp ! standard flux profile function parmaeters |
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80 | REAL(wp) :: rconc2 = 16.0_wp ! " " |
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81 | REAL(wp) :: rconcm = 8.38_wp ! momentum flux profile fit |
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82 | REAL(wp) :: rconam = 1.26_wp ! " " |
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83 | REAL(wp) :: rzetam = -.20_wp ! " " |
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84 | REAL(wp) :: rconcs = 98.96_wp ! scalar flux profile fit |
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85 | REAL(wp) :: rconas = -28.86_wp ! " " |
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86 | REAL(wp) :: rzetas = -1.0_wp ! " " |
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87 | |
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88 | ! !!! ** Boundary Layer Depth Diagnostic ** |
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89 | REAL(wp) :: Ricr = 0.3_wp ! critical bulk Richardson Number |
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90 | REAL(wp) :: rcekman = 0.7_wp ! coefficient for ekman depth |
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91 | REAL(wp) :: rcmonob = 1.0_wp ! coefficient for Monin-Obukhov depth |
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92 | REAL(wp) :: rconcv = 1.7_wp ! ratio of interior buoyancy frequency to its value at entrainment depth |
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93 | REAL(wp) :: hbf = 1.0_wp ! fraction of bound. layer depth to which absorbed solar |
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94 | ! ! rad. and contributes to surf. buo. forcing |
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95 | REAL(wp) :: Vtc ! function of rconcv,rconcs,epsilon,vonk,Ricr |
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96 | |
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97 | ! !!! ** Nonlocal Boundary Layer Mixing ** |
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98 | REAL(wp) :: rcstar = 5.0_wp ! coefficient for convective nonlocal transport |
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99 | REAL(wp) :: rcs = 1.0e-3_wp ! conversion: mm/s ==> m/s |
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100 | REAL(wp) :: rcg ! non-dimensional coefficient for nonlocal transport |
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101 | |
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102 | #if ! defined key_kppcustom |
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103 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: del ! array for reference mean values of vertical integration |
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104 | #endif |
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105 | |
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106 | #if defined key_kpplktb |
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107 | ! !!! ** Parameters for lookup table for turbulent velocity scales ** |
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108 | INTEGER, PARAMETER :: nilktb = 892 ! number of values for zehat in KPP lookup table |
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109 | INTEGER, PARAMETER :: njlktb = 482 ! number of values for ustar in KPP lookup table |
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110 | INTEGER, PARAMETER :: nilktbm1 = nilktb-1 ! |
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111 | INTEGER, PARAMETER :: njlktbm1 = njlktb-1 ! |
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112 | |
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113 | REAL(wp), DIMENSION(nilktb,njlktb) :: wmlktb ! lookup table for the turbulent vertical velocity scale (momentum) |
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114 | REAL(wp), DIMENSION(nilktb,njlktb) :: wslktb ! lookup table for the turbulent vertical velocity scale (tracers) |
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115 | |
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116 | REAL(wp) :: dehatmin = -4.e-7_wp ! minimum limit for zhat in lookup table (m3/s3) |
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117 | REAL(wp) :: dehatmax = 0._wp ! maximum limit for zhat in lookup table (m3/s3) |
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118 | REAL(wp) :: ustmin = 0._wp ! minimum limit for ustar in lookup table (m/s) |
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119 | REAL(wp) :: ustmax = 0.04_wp ! maximum limit for ustar in lookup table (m/s) |
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120 | REAL(wp) :: dezehat ! delta zhat in lookup table |
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121 | REAL(wp) :: deustar ! delta ustar in lookup table |
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122 | #endif |
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123 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:) :: ratt ! attenuation coef (already defines in module traqsr, |
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124 | ! ! but only if the solar radiation penetration is considered) |
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125 | |
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126 | ! !!! * penetrative solar radiation coefficient * |
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127 | REAL(wp) :: rabs = 0.58_wp ! fraction associated with xsi1 |
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128 | REAL(wp) :: xsi1 = 0.35_wp ! first depth of extinction |
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129 | REAL(wp) :: xsi2 = 23.0_wp ! second depth of extinction |
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130 | ! ! (default values: water type Ib) |
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131 | |
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132 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean, eumean, evmean ! coeff. used for hor. smoothing at t-, u- & v-points |
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133 | |
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134 | #if defined key_c1d |
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135 | !! DCSE_NEMO: these arrays do not need to be public |
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136 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rig !: gradient Richardson number |
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137 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rib !: bulk Richardson number |
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138 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: buof !: buoyancy forcing |
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139 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: mols !: moning-Obukhov length scale |
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140 | ! REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ekdp !: Ekman depth |
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141 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rig !: gradient Richardson number |
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142 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: rib !: bulk Richardson number |
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143 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: buof !: buoyancy forcing |
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144 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: mols !: moning-Obukhov length scale |
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145 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ekdp !: Ekman depth |
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146 | #endif |
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147 | |
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148 | INTEGER :: jip = 62 , jjp = 111 |
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149 | |
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150 | !! * Control permutation of array indices |
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151 | # include "oce_ftrans.h90" |
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152 | # include "dom_oce_ftrans.h90" |
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153 | # include "zdf_oce_ftrans.h90" |
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154 | # include "sbc_oce_ftrans.h90" |
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155 | # include "zdfddm_ftrans.h90" |
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156 | !FTRANS ghats :I :I :z |
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157 | !FTRANS etmean eumean evmean :I :I :z |
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158 | #if defined key_c1d |
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159 | !FTRANS rig rib buof mols :I :I :z |
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160 | #endif |
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161 | |
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162 | !! * Substitutions |
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163 | # include "domzgr_substitute.h90" |
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164 | # include "vectopt_loop_substitute.h90" |
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165 | # include "zdfddm_substitute.h90" |
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166 | !!---------------------------------------------------------------------- |
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167 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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168 | !! $Id$ |
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169 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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170 | !!---------------------------------------------------------------------- |
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171 | CONTAINS |
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172 | |
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173 | INTEGER FUNCTION zdf_kpp_alloc() |
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174 | !!---------------------------------------------------------------------- |
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175 | !! *** FUNCTION zdf_kpp_alloc *** |
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176 | !!---------------------------------------------------------------------- |
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177 | ALLOCATE( ghats(jpi,jpj,jpk), wt0(jpi,jpj), ws0(jpi,jpj), hkpp(jpi,jpj), & |
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178 | #if ! defined key_kpplktb |
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179 | & del(jpk,jpk), & |
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180 | #endif |
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181 | & ratt(jpk), & |
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182 | & etmean(jpi,jpj,jpk), eumean(jpi,jpj,jpk), evmean(jpi,jpj,jpk), & |
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183 | #if defined key_c1d |
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184 | & rig (jpi,jpj,jpk), rib(jpi,jpj,jpk), buof(jpi,jpj,jpk), & |
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185 | & mols(jpi,jpj,jpk), ekdp(jpi,jpj), & |
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186 | #endif |
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187 | & STAT= zdf_kpp_alloc ) |
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188 | ! |
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189 | IF( lk_mpp ) CALL mpp_sum ( zdf_kpp_alloc ) |
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190 | IF( zdf_kpp_alloc /= 0 ) CALL ctl_warn('zdf_kpp_alloc: failed to allocate arrays') |
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191 | END FUNCTION zdf_kpp_alloc |
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192 | |
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193 | |
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194 | SUBROUTINE zdf_kpp( kt ) |
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195 | !!---------------------------------------------------------------------- |
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196 | !! *** ROUTINE zdf_kpp *** |
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197 | !! |
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198 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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199 | !! coefficients and non local mixing using K-profile parameterization |
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200 | !! |
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201 | !! ** Method : The boundary layer depth hkpp is diagnosed at tracer points |
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202 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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203 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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204 | !! |
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205 | !! Kx = hkpp Wx(sigma) G(sigma) |
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206 | !! |
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207 | !! and the non local term ghat = Cs / Ws(sigma) / hkpp |
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208 | !! Below hkpp the coefficients are the sum of mixing due to internal waves |
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209 | !! shear instability and double diffusion. |
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210 | !! |
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211 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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212 | !! -2- Diagnose the boundary layer depth. |
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213 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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214 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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215 | !! -5- Smoothing |
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216 | !! |
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217 | !! N.B. The computation is done from jk=2 to jpkm1 |
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218 | !! Surface value of avt avmu avmv are set once a time to zero |
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219 | !! in routine zdf_kpp_init. |
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220 | !! |
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221 | !! ** Action : update the non-local terms ghats |
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222 | !! update avt, avmu, avmv (before vertical eddy coef.) |
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223 | !! |
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224 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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225 | !! Reviews of Geophysics, 32, 4, November 1994 |
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226 | !! Comments in the code refer to this paper, particularly |
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227 | !! the equation number. (LMD94, here after) |
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228 | !!---------------------------------------------------------------------- |
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229 | #if defined key_zdfddm |
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230 | USE oce , zviscos => ua ! temp. array for viscosities use ua as workspace |
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231 | USE oce , zdiffut => ta ! temp. array for diffusivities use sa as workspace |
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232 | USE oce , zdiffus => sa ! temp. array for diffusivities use sa as workspace |
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233 | !FTRANS zviscos zdiffut zdiffus :I :I :z |
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234 | #else |
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235 | USE oce , zviscos => ua ! temp. array for viscosities use ua as workspace |
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236 | USE oce , zdiffut => ta ! temp. array for diffusivities use sa as workspace |
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237 | !FTRANS zviscos zdiffut :I :I :z |
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238 | #endif |
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239 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released, wrk_in_use_xz, wrk_not_released_xz |
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240 | USE wrk_nemo, ONLY: zBo => wrk_2d_1, & ! Surface buoyancy forcing, |
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241 | zBosol => wrk_2d_2, & ! friction velocity |
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242 | zustar => wrk_2d_3 |
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243 | USE wrk_nemo, ONLY: zmask => wrk_2d_4 |
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244 | !gm USE wrk_nemo, ONLY: wrk_2d_5, wrk_2d_6, wrk_2d_7, wrk_2d_8, wrk_2d_9, & |
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245 | USE wrk_nemo, ONLY: wrk_2d_6, wrk_2d_7, wrk_2d_8, wrk_2d_9, & |
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246 | wrk_2d_10,wrk_2d_11 |
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247 | USE wrk_nemo, ONLY: wrk_1d_1, wrk_1d_2, wrk_1d_3, wrk_1d_4, & |
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248 | wrk_1d_5, wrk_1d_6, wrk_1d_7, wrk_1d_8, & |
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249 | wrk_1d_9, wrk_1d_10, wrk_1d_11, wrk_1d_12, & |
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250 | wrk_1d_13, wrk_1d_14 |
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251 | USE wrk_nemo, ONLY: zblcm => wrk_xz_1, & ! Boundary layer |
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252 | zblct => wrk_xz_2 ! diffusivities/viscosities |
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253 | |
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254 | !! DCSE_NEMO: check that wrk_xz_* arrays are being used consistently |
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255 | !FTRANS zblcm zblct :I :z |
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256 | #if defined key_zdfddm |
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257 | USE wrk_nemo, ONLY: zblcs => wrk_xz_3 |
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258 | !FTRANS zblcs :I :z |
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259 | #endif |
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260 | !! |
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261 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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262 | !! |
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263 | INTEGER :: ji, jj, jk ! dummy loop indices |
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264 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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265 | |
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266 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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267 | REAL(wp) :: zrhos, zalbet, zbeta, zthermal, zhalin, zatt1 ! |
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268 | REAL(wp) :: zref, zt, zs, zh, zu, zv, zrh ! Bulk richardson number |
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269 | REAL(wp) :: zrib, zrinum, zdVsq, zVtsq ! |
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270 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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271 | #if defined key_kpplktb |
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272 | INTEGER :: il, jl ! Lookup table or Analytical functions |
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273 | REAL(wp) :: ud, zfrac, ufrac, zwam, zwbm, zwas, zwbs ! |
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274 | #else |
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275 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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276 | #endif |
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277 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
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278 | #if ! defined key_kppcustom |
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279 | INTEGER :: jm ! dummy loop indices |
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280 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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281 | #endif |
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282 | REAL(wp) :: zflag, ztemp, zrn2, zdep21, zdep32, zdep43 |
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283 | REAL(wp) :: zdku2, zdkv2, ze3sqr, zsh2, zri, zfri ! Interior richardson mixing |
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284 | !gm REAL(wp), POINTER, DIMENSION(:,:) :: zmoek ! Moning-Obukov limitation |
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285 | REAL(wp), DIMENSION(jpi,0:2) :: zmoek ! Moning-Obukov limitation |
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286 | REAL(wp), POINTER, DIMENSION(:) :: zmoa, zekman |
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287 | REAL(wp) :: zmob, zek |
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288 | REAL(wp), POINTER, DIMENSION(:,:) :: zdepw, zdift, zvisc ! The pipe |
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289 | REAL(wp), POINTER, DIMENSION(:,:) :: zdept |
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290 | REAL(wp), POINTER, DIMENSION(:,:) :: zriblk |
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291 | REAL(wp), POINTER, DIMENSION(:) :: zhmax, zria, zhbl |
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292 | REAL(wp) :: zflagri, zflagek, zflagmo, zflagh, zflagkb ! |
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293 | REAL(wp), POINTER, DIMENSION(:) :: za2m, za3m, zkmpm, za2t, za3t, zkmpt ! Shape function (G) |
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294 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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295 | #if defined key_zdfddm |
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296 | REAL(wp) :: zrrau, zds, zavdds, zavddt,zinr ! double diffusion mixing |
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297 | REAL(wp), POINTER, DIMENSION(:,:) :: zdifs |
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298 | REAL(wp), POINTER, DIMENSION(:) :: za2s, za3s, zkmps |
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299 | REAL(wp) :: zkm1s |
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300 | #endif |
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301 | !!-------------------------------------------------------------------- |
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302 | |
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303 | IF( wrk_in_use(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14) .OR. & |
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304 | wrk_in_use(2, 1,2,3,4,5,6,7,8,9,10,11) .OR. & |
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305 | wrk_in_use_xz(1,2,3) ) THEN |
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306 | CALL ctl_stop('zdf_kpp : requested workspace arrays unavailable.') ; RETURN |
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307 | ENDIF |
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308 | ! Set-up pointers to 2D spaces |
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309 | !gm zmoek(1:jpi,0:2) => wrk_2d_5(1:jpi,1:3) |
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310 | zdepw => wrk_2d_6(:,1:4) |
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311 | zdift => wrk_2d_7(:,1:4) |
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312 | zvisc => wrk_2d_8(:,1:4) |
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313 | zdept => wrk_2d_9(:,1:3) |
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314 | zriblk => wrk_2d_10(:,1:2) |
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315 | ! 1D spaces |
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316 | zmoa => wrk_1d_1(1:jpi) |
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317 | zekman => wrk_1d_2(1:jpi) |
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318 | zhmax => wrk_1d_3(1:jpi) |
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319 | zria => wrk_1d_4(1:jpi) |
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320 | zhbl => wrk_1d_5(1:jpi) |
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321 | za2m => wrk_1d_6(1:jpi) |
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322 | za3m => wrk_1d_7(1:jpi) |
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323 | zkmpm => wrk_1d_8(1:jpi) |
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324 | za2t => wrk_1d_9(1:jpi) |
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325 | za3t => wrk_1d_10(1:jpi) |
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326 | zkmpt => wrk_1d_11(1:jpi) |
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327 | #if defined key_zdfddm |
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328 | zdifs => wrk_2d_11(:,1:4) |
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329 | za2s => wrk_1d_12(1:jpi) |
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330 | za3s => wrk_1d_13(1:jpi) |
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331 | zkmps => wrk_1d_14(1:jpi) |
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332 | #endif |
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333 | |
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334 | zviscos(:,:,:) = 0. |
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335 | zblcm (:,: ) = 0. |
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336 | zdiffut(:,:,:) = 0. |
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337 | zblct (:,: ) = 0. |
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338 | #if defined key_zdfddm |
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339 | zdiffus(:,:,:) = 0. |
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340 | zblcs (:,: ) = 0. |
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341 | #endif |
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342 | ghats(:,:,:) = 0. |
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343 | |
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344 | zBo (:,:) = 0. |
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345 | zBosol(:,:) = 0. |
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346 | zustar(:,:) = 0. |
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347 | |
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348 | |
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349 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
350 | ! I. Interior diffusivity and viscosity at w points ( T interfaces) |
---|
351 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
352 | #if defined key_z_first |
---|
353 | DO jj = 2, jpjm1 |
---|
354 | DO ji = 2, jpim1 |
---|
355 | DO jk = 2, jpkm1 |
---|
356 | #else |
---|
357 | DO jk = 2, jpkm1 |
---|
358 | DO jj = 2, jpjm1 |
---|
359 | DO ji = fs_2, fs_jpim1 |
---|
360 | #endif |
---|
361 | ! Mixing due to internal waves breaking |
---|
362 | ! ------------------------------------- |
---|
363 | avmu(ji,jj,jk) = rn_difmiw |
---|
364 | avt (ji,jj,jk) = rn_difsiw |
---|
365 | ! Mixing due to vertical shear instability |
---|
366 | ! ------------------------------------- |
---|
367 | IF( ln_kpprimix ) THEN |
---|
368 | ! Compute the gradient Richardson number at interfaces (zri): |
---|
369 | ! LMD94, eq. 27 (is vertical smoothing needed : Rig=N^2 / (dz(u))^2 + (dz(v))^2 |
---|
370 | zdku2 = ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
---|
371 | & * ( un(ji - 1,jj,jk - 1) - un(ji - 1,jj,jk) ) & |
---|
372 | & + ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) & |
---|
373 | & * ( un(ji ,jj,jk - 1) - un(ji ,jj,jk) ) |
---|
374 | |
---|
375 | zdkv2 = ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
---|
376 | & * ( vn(ji,jj - 1,jk - 1) - vn(ji,jj - 1,jk) ) & |
---|
377 | & + ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) & |
---|
378 | & * ( vn(ji, jj,jk - 1) - vn(ji, jj,jk) ) |
---|
379 | |
---|
380 | ze3sqr = 1. / ( fse3w(ji,jj,jk) * fse3w(ji,jj,jk) ) |
---|
381 | ! Square of vertical shear at interfaces |
---|
382 | zsh2 = 0.5 * ( zdku2 + zdkv2 ) * ze3sqr |
---|
383 | zri = MAX( rn2(ji,jj,jk), 0. ) / ( zsh2 + epsln ) |
---|
384 | #if defined key_c1d |
---|
385 | ! save the gradient richardson number |
---|
386 | rig(ji,jj,jk) = zri * tmask(ji,jj,jk) |
---|
387 | #endif |
---|
388 | ! Evaluate f of Ri (zri) for shear instability store in zfri |
---|
389 | ! LMD94, eq. 28a,b,c, figure 3 ; Rem: p1 is 3, hard coded |
---|
390 | zfri = MAX( zri , 0. ) |
---|
391 | zfri = MIN( zfri / rn_riinfty , 1.0 ) |
---|
392 | zfri = ( 1.0 - zfri * zfri ) |
---|
393 | zfri = zfri * zfri * zfri |
---|
394 | ! add shear contribution to mixing coef. |
---|
395 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + rn_difri * zfri |
---|
396 | avt (ji,jj,jk) = avt (ji,jj,jk) + rn_difri * zfri |
---|
397 | ENDIF |
---|
398 | #if defined key_zdfddm |
---|
399 | avs (ji,jj,jk) = avt (ji,jj,jk) |
---|
400 | ! Double diffusion mixing ; NOT IN ROUTINE ZDFDDM.F90 |
---|
401 | ! ------------------------------------------------------------------ |
---|
402 | ! only retains positive value of rrau |
---|
403 | zrrau = MAX( rrau(ji,jj,jk), epsln ) |
---|
404 | zds = sn(ji,jj,jk-1) - sn(ji,jj,jk) |
---|
405 | IF( zrrau > 1. .AND. zds > 0.) THEN |
---|
406 | ! |
---|
407 | ! Salt fingering case. |
---|
408 | !--------------------- |
---|
409 | ! Compute interior diffusivity for double diffusive mixing of |
---|
410 | ! salinity. Upper bound "zrrau" by "Rrho0"; (Rrho0=1.9, difcoefnuf=0.001). |
---|
411 | ! After that set interior diffusivity for double diffusive mixing |
---|
412 | ! of temperature |
---|
413 | zavdds = MIN( zrrau, Rrho0 ) |
---|
414 | zavdds = ( zavdds - 1.0 ) / ( Rrho0 - 1.0 ) |
---|
415 | zavdds = 1.0 - zavdds * zavdds |
---|
416 | zavdds = zavdds * zavdds * zavdds |
---|
417 | zavdds = difssf * zavdds |
---|
418 | zavddt = 0.7 * zavdds |
---|
419 | ELSEIF( zrrau < 1. .AND. zrrau > 0. .AND. zds < 0.) THEN |
---|
420 | ! |
---|
421 | ! Diffusive convection case. |
---|
422 | !--------------------------- |
---|
423 | ! Compute interior diffusivity for double diffusive mixing of |
---|
424 | ! temperature (Marmorino and Caldwell, 1976); |
---|
425 | ! Compute interior diffusivity for double diffusive mixing of salinity |
---|
426 | zinr = 1. / zrrau |
---|
427 | zavddt = 0.909 * EXP( 4.6 * EXP( -0.54* ( zinr - 1. ) ) ) |
---|
428 | zavddt = difsdc * zavddt |
---|
429 | IF( zrrau < 0.5) THEN |
---|
430 | zavdds = zavddt * 0.15 * zrrau |
---|
431 | ELSE |
---|
432 | zavdds = zavddt * (1.85 * zrrau - 0.85 ) |
---|
433 | ENDIF |
---|
434 | ELSE |
---|
435 | zavddt = 0. |
---|
436 | zavdds = 0. |
---|
437 | ENDIF |
---|
438 | ! Add double diffusion contribution to temperature and salinity mixing coefficients. |
---|
439 | avt (ji,jj,jk) = avt (ji,jj,jk) + zavddt |
---|
440 | avs (ji,jj,jk) = avs (ji,jj,jk) + zavdds |
---|
441 | #endif |
---|
442 | END DO |
---|
443 | END DO |
---|
444 | END DO |
---|
445 | |
---|
446 | |
---|
447 | ! Radiative (zBosol) and non radiative (zBo) surface buoyancy |
---|
448 | !JMM at the time zdfkpp is called, q still holds the sum q + qsr |
---|
449 | !--------------------------------------------------------------------- |
---|
450 | DO jj = 2, jpjm1 |
---|
451 | DO ji = fs_2, fs_jpim1 |
---|
452 | IF( nn_eos < 1) THEN |
---|
453 | zt = tn(ji,jj,1) |
---|
454 | zs = sn(ji,jj,1) - 35.0 |
---|
455 | zh = fsdept(ji,jj,1) |
---|
456 | ! potential volumic mass |
---|
457 | zrhos = rhop(ji,jj,1) |
---|
458 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
---|
459 | & - 0.203814e-03 ) * zt & |
---|
460 | & + 0.170907e-01 ) * zt & |
---|
461 | & + 0.665157e-01 & |
---|
462 | & + ( - 0.678662e-05 * zs & |
---|
463 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
464 | & + ( ( - 0.302285e-13 * zh & |
---|
465 | & - 0.251520e-11 * zs & |
---|
466 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
467 | & - 0.164759e-06 * zs & |
---|
468 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
469 | & + 0.380374e-04 ) * zh |
---|
470 | |
---|
471 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
---|
472 | & - 0.301985e-05 ) * zt & |
---|
473 | & + 0.785567e-03 & |
---|
474 | & + ( 0.515032e-08 * zs & |
---|
475 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
476 | & +( ( 0.121551e-17 * zh & |
---|
477 | & - 0.602281e-15 * zs & |
---|
478 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
479 | & + 0.408195e-10 * zs & |
---|
480 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
481 | & - 0.121555e-07 ) * zh |
---|
482 | |
---|
483 | zthermal = zbeta * zalbet / ( rcp * zrhos + epsln ) |
---|
484 | zhalin = zbeta * sn(ji,jj,1) * rcs |
---|
485 | ELSE |
---|
486 | zrhos = rhop(ji,jj,1) + rau0 * ( 1. - tmask(ji,jj,1) ) |
---|
487 | zthermal = rn_alpha / ( rcp * zrhos + epsln ) |
---|
488 | zhalin = rn_beta * sn(ji,jj,1) * rcs |
---|
489 | ENDIF |
---|
490 | ! Radiative surface buoyancy force |
---|
491 | zBosol(ji,jj) = grav * zthermal * qsr(ji,jj) |
---|
492 | ! Non radiative surface buoyancy force |
---|
493 | zBo (ji,jj) = grav * zthermal * qns(ji,jj) - grav * zhalin * ( emps(ji,jj)-rnf(ji,jj) ) |
---|
494 | ! Surface Temperature flux for non-local term |
---|
495 | wt0(ji,jj) = - ( qsr(ji,jj) + qns(ji,jj) )* ro0cpr * tmask(ji,jj,1) |
---|
496 | ! Surface salinity flux for non-local term |
---|
497 | ws0(ji,jj) = - ( ( emps(ji,jj)-rnf(ji,jj) ) * sn(ji,jj,1) * rcs ) * tmask(ji,jj,1) |
---|
498 | ENDDO |
---|
499 | ENDDO |
---|
500 | |
---|
501 | zflageos = 0.5 + SIGN( 0.5, nn_eos - 1. ) |
---|
502 | ! Compute surface buoyancy forcing, Monin Obukhov and Ekman depths |
---|
503 | !------------------------------------------------------------------ |
---|
504 | DO jj = 2, jpjm1 |
---|
505 | DO ji = fs_2, fs_jpim1 |
---|
506 | ! Reference surface density = density at first T point level |
---|
507 | zrhos = rhop(ji,jj,1) + zflageos * rau0 * ( 1. - tmask(ji,jj,1) ) |
---|
508 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
---|
509 | zustar(ji,jj) = SQRT( taum(ji,jj) / ( zrhos + epsln ) ) |
---|
510 | ENDDO |
---|
511 | ENDDO |
---|
512 | |
---|
513 | !CDIR NOVERRCHK |
---|
514 | ! ! =============== |
---|
515 | DO jj = 2, jpjm1 ! Vertical slab |
---|
516 | ! ! =============== |
---|
517 | |
---|
518 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
519 | ! II Compute Boundary layer mixing coef. and diagnose the new boundary layer depth |
---|
520 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
521 | |
---|
522 | ! Initialization |
---|
523 | jkmax = 0 |
---|
524 | zdept (:,:) = 0. |
---|
525 | zdepw (:,:) = 0. |
---|
526 | zriblk(:,:) = 0. |
---|
527 | zmoek (:,:) = 0. |
---|
528 | zvisc (:,:) = 0. |
---|
529 | zdift (:,:) = 0. |
---|
530 | #if defined key_zdfddm |
---|
531 | zdifs (:,:) = 0. |
---|
532 | #endif |
---|
533 | zmask (:,:) = 0. |
---|
534 | DO ji = fs_2, fs_jpim1 |
---|
535 | zria(ji ) = 0. |
---|
536 | ! Maximum boundary layer depth |
---|
537 | ikbot = mbkt(ji,jj) ! ikbot is the last T point in the water |
---|
538 | zhmax(ji) = fsdept(ji,jj,ikbot) - 0.001 |
---|
539 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
---|
540 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(1) |
---|
541 | zekman(ji) = rcekman * zustar(ji,jj) / ( ABS( ff(ji,jj) ) + epsln ) |
---|
542 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
---|
543 | zmoa(ji) = zucube / ( vonk * ( zbuofdep + epsln ) ) |
---|
544 | #if defined key_c1d |
---|
545 | ! store the surface buoyancy forcing |
---|
546 | zstabl = 0.5 + SIGN( 0.5, zbuofdep ) |
---|
547 | buof(ji,jj,1) = zbuofdep * tmask(ji,jj,1) |
---|
548 | ! store the moning-oboukov length scale at surface |
---|
549 | zmob = zstabl * zmoa(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
---|
550 | mols(ji,jj,1) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,1) |
---|
551 | ! store Ekman depth |
---|
552 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * fsdept(ji,jj,1) |
---|
553 | ekdp(ji,jj ) = MIN( zek , zhmax(ji) ) * tmask(ji,jj,1) |
---|
554 | #endif |
---|
555 | END DO |
---|
556 | ! Compute the pipe |
---|
557 | ! --------------------- |
---|
558 | |
---|
559 | !! DCSE_NEMO: is it safe to change the order of these loops? |
---|
560 | DO jk = 2, jpkm1 |
---|
561 | DO ji = fs_2, fs_jpim1 |
---|
562 | ! Compute bfsfc = Bo + radiative contribution down to hbf*depht |
---|
563 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * ratt(jk) |
---|
564 | ! Flag (zstabl = 1) if positive forcing |
---|
565 | zstabl = 0.5 + SIGN( 0.5, zbuofdep) |
---|
566 | |
---|
567 | ! Compute bulk richardson number zrib at depht |
---|
568 | !------------------------------------------------------- |
---|
569 | ! [Br - B(d)] * d zrinum |
---|
570 | ! Rib(z) = ----------------------- = ------------- |
---|
571 | ! |Vr - V(d)|^2 + Vt(d)^2 zdVsq + zVtsq |
---|
572 | ! |
---|
573 | ! First compute zt,zs,zu,zv = means in the surface layer < epsilon*depht |
---|
574 | ! Else surface values are taken at the first T level. |
---|
575 | ! For stability, resolved vertical shear is computed with "before velocities". |
---|
576 | zref = epsilon * fsdept(ji,jj,jk) |
---|
577 | #if defined key_kppcustom |
---|
578 | ! zref = gdept(1) |
---|
579 | zref = fsdept(ji,jj,1) |
---|
580 | zt = tn(ji,jj,1) |
---|
581 | zs = sn(ji,jj,1) |
---|
582 | zrh = rhop(ji,jj,1) |
---|
583 | zu = ( ub(ji,jj,1) + ub(ji - 1,jj ,1) ) / MAX( 1. , umask(ji,jj,1) + umask(ji - 1,jj ,1) ) |
---|
584 | zv = ( vb(ji,jj,1) + vb(ji ,jj - 1,1) ) / MAX( 1. , vmask(ji,jj,1) + vmask(ji ,jj - 1,1) ) |
---|
585 | #else |
---|
586 | zt = 0. |
---|
587 | zs = 0. |
---|
588 | zu = 0. |
---|
589 | zv = 0. |
---|
590 | zrh = 0. |
---|
591 | ! vertically integration over the upper epsilon*gdept(jk) ; del () array is computed once in zdf_kpp_init |
---|
592 | DO jm = 1, jpkm1 |
---|
593 | zt = zt + del(jk,jm) * tn(ji,jj,jm) |
---|
594 | zs = zs + del(jk,jm) * sn(ji,jj,jm) |
---|
595 | zu = zu + 0.5 * del(jk,jm) & |
---|
596 | & * ( ub(ji,jj,jm) + ub(ji - 1,jj,jm) ) & |
---|
597 | & / MAX( 1. , umask(ji,jj,jm) + umask(ji - 1,jj,jm) ) |
---|
598 | zv = zv + 0.5 * del(jk,jm) & |
---|
599 | & * ( vb(ji,jj,jm) + vb(ji,jj - 1,jm) ) & |
---|
600 | & / MAX( 1. , vmask(ji,jj,jm) + vmask(ji,jj - 1,jm) ) |
---|
601 | zrh = zrh + del(jk,jm) * rhop(ji,jj,jm) |
---|
602 | END DO |
---|
603 | #endif |
---|
604 | zsr = SQRT( ABS( sn(ji,jj,jk) ) ) |
---|
605 | ! depth |
---|
606 | zh = fsdept(ji,jj,jk) |
---|
607 | ! compute compression terms on density |
---|
608 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
609 | zbw = ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
610 | zb = zbw + ze * zs |
---|
611 | |
---|
612 | zd = -2.042967e-2 |
---|
613 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
614 | zaw = ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
615 | za = ( zd*zsr + zc ) *zs + zaw |
---|
616 | |
---|
617 | zb1 = (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
618 | za1 = ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
619 | zkw = ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
620 | zk0 = ( zb1*zsr + za1 )*zs + zkw |
---|
621 | zcomp = 1.0 - zh / ( zk0 - zh * ( za - zh * zb ) ) |
---|
622 | |
---|
623 | #if defined key_kppcustom |
---|
624 | ! potential density of water(zrh = zt,zs at level jk): |
---|
625 | zrhdr = zrh / zcomp |
---|
626 | #else |
---|
627 | ! potential density of water(ztref,zsref at level jk): |
---|
628 | ! compute volumic mass pure water at atm pressure |
---|
629 | IF ( nn_eos < 1 ) THEN |
---|
630 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
631 | & -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
632 | ! seawater volumic mass atm pressure |
---|
633 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
634 | & -4.0899e-3 ) *zt+0.824493 |
---|
635 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
636 | zr4= 4.8314e-4 |
---|
637 | ! potential volumic mass (reference to the surface) |
---|
638 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
639 | zrhdr = zrhop / zcomp |
---|
640 | ELSE |
---|
641 | zrhdr = zrh / zcomp |
---|
642 | ENDIF |
---|
643 | #endif |
---|
644 | |
---|
645 | ! potential density of ambiant water at level jk : |
---|
646 | zrhd = ( rhd(ji,jj,jk) * rau0 + rau0 ) |
---|
647 | |
---|
648 | ! And now the Rib number numerator . |
---|
649 | zrinum = grav * ( zrhd - zrhdr ) / rau0 |
---|
650 | zrinum = zrinum * ( fsdept(ji,jj,jk) - zref ) * tmask(ji,jj,jk) |
---|
651 | |
---|
652 | ! Resolved shear contribution to Rib at depth T-point (zdVsq) |
---|
653 | ztx = ( ub( ji , jj ,jk) + ub(ji - 1, jj ,jk) ) & |
---|
654 | & / MAX( 1. , umask( ji , jj ,jk) + umask(ji - 1, jj ,jk) ) |
---|
655 | zty = ( vb( ji , jj ,jk) + vb(ji ,jj - 1,jk) ) & |
---|
656 | & / MAX( 1., vmask( ji , jj ,jk) + vmask(ji ,jj - 1,jk) ) |
---|
657 | |
---|
658 | zdVsq = ( zu - ztx ) * ( zu - ztx ) + ( zv - zty ) * ( zv - zty ) |
---|
659 | |
---|
660 | ! Scalar turbulent velocity scale zws for hbl=gdept |
---|
661 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
---|
662 | zehat = vonk * zscale * fsdept(ji,jj,jk) * zbuofdep |
---|
663 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
---|
664 | zeta = zehat / ( zucube + epsln ) |
---|
665 | |
---|
666 | IF( zehat > 0. ) THEN |
---|
667 | ! Stable case |
---|
668 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
---|
669 | ELSE |
---|
670 | ! Unstable case |
---|
671 | #if defined key_kpplktb |
---|
672 | ! use lookup table |
---|
673 | zd = zehat - dehatmin |
---|
674 | il = INT( zd / dezehat ) |
---|
675 | il = MIN( il, nilktbm1 ) |
---|
676 | il = MAX( il, 1 ) |
---|
677 | |
---|
678 | ud = zustar(ji,jj) - ustmin |
---|
679 | jl = INT( ud / deustar ) |
---|
680 | jl = MIN( jl, njlktbm1 ) |
---|
681 | jl = MAX( jl, 1 ) |
---|
682 | |
---|
683 | zfrac = zd / dezehat - FLOAT( il ) |
---|
684 | ufrac = ud / deustar - FLOAT( jl ) |
---|
685 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
---|
686 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
---|
687 | ! |
---|
688 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
---|
689 | #else |
---|
690 | ! use analytical functions: |
---|
691 | zcons = 0.5 + SIGN( 0.5 , ( rzetas - zeta ) ) |
---|
692 | zwcons = vonk * zustar(ji,jj) * ( ( ABS( rconas - rconcs * zeta ) )**pthird ) |
---|
693 | zwsun = vonk * zustar(ji,jj) * SQRT( ABS ( 1.0 - rconc2 * zeta ) ) |
---|
694 | ! |
---|
695 | zws = zcons * zwcons + ( 1.0 - zcons) * zwsun |
---|
696 | #endif |
---|
697 | ENDIF |
---|
698 | |
---|
699 | ! Turbulent shear contribution to Rib (zVtsq) bv frequency at levels ( ie T-point jk) |
---|
700 | zrn2 = 0.5 * ( rn2(ji,jj,jk) + rn2(ji,jj,jk+1) ) |
---|
701 | zbvzed = SQRT( ABS( zrn2 ) ) |
---|
702 | zVtsq = fsdept(ji,jj,jk) * zws * zbvzed * Vtc |
---|
703 | |
---|
704 | ! Finally, the bulk Richardson number at depth fsdept(i,j,k) |
---|
705 | zrib = zrinum / ( zdVsq + zVtsq + epsln ) |
---|
706 | |
---|
707 | ! Find subscripts around the boundary layer depth, build the pipe |
---|
708 | ! ---------------------------------------------------------------- |
---|
709 | |
---|
710 | ! Flag (zflagri = 1) if zrib < Ricr |
---|
711 | zflagri = 0.5 + SIGN( 0.5, ( Ricr - zrib ) ) |
---|
712 | ! Flag (zflagh = 1) if still within overall boundary layer |
---|
713 | zflagh = 0.5 + SIGN( 0.5, ( fsdept(ji,jj,1) - zdept(ji,2) ) ) |
---|
714 | |
---|
715 | ! Ekman layer depth |
---|
716 | zek = zstabl * zekman(ji) + ( 1.0 - zstabl ) * zhmax(ji) |
---|
717 | zflag = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk-1) ) ) |
---|
718 | zek = zflag * zek + ( 1.0 - zflag ) * zhmax(ji) |
---|
719 | zflagek = 0.5 + SIGN( 0.5, ( zek - fsdept(ji,jj,jk) ) ) |
---|
720 | ! Flag (zflagmo = 1) if still within stable Monin-Obukhov and in water |
---|
721 | zmob = zucube / ( vonk * ( zbuofdep + epsln ) ) |
---|
722 | ztemp = zstabl * zmob + ( 1.0 - zstabl) * zhmax(ji) |
---|
723 | ztemp = MIN( ztemp , zhmax(ji) ) |
---|
724 | zflagmo = 0.5 + SIGN( 0.5, ( ztemp - fsdept(ji,jj,jk) ) ) |
---|
725 | |
---|
726 | ! No limitation by Monin Obukhov or Ekman depths: |
---|
727 | ! zflagek = 1.0 |
---|
728 | ! zflagmo = 0.5 + SIGN( 0.5, ( zhmax(ji) - fsdept(ji,jj,jk) ) ) |
---|
729 | |
---|
730 | ! Load pipe via zflagkb for later calculations |
---|
731 | ! Flag (zflagkb = 1) if zflagh = 1 and (zflagri = 0 or zflagek = 0 or zflagmo = 0) |
---|
732 | zflagkb = zflagh * ( 1.0 - ( zflagri * zflagek * zflagmo ) ) |
---|
733 | |
---|
734 | zmask(ji,jk) = zflagh |
---|
735 | jkp2 = MIN( jk+2 , ikbot ) |
---|
736 | jkm1 = MAX( jk-1 , 2 ) |
---|
737 | jkmax = MAX( jkmax, jk * INT( REAL( zflagh+epsln ) ) ) |
---|
738 | |
---|
739 | zdept(ji,1) = zdept(ji,1) + zflagkb * fsdept(ji,jj,jk-1) |
---|
740 | zdept(ji,2) = zdept(ji,2) + zflagkb * fsdept(ji,jj,jk ) |
---|
741 | zdept(ji,3) = zdept(ji,3) + zflagkb * fsdept(ji,jj,jk+1) |
---|
742 | |
---|
743 | zdepw(ji,1) = zdepw(ji,1) + zflagkb * fsdepw(ji,jj,jk-1) |
---|
744 | zdepw(ji,2) = zdepw(ji,2) + zflagkb * fsdepw(ji,jj,jk ) |
---|
745 | zdepw(ji,3) = zdepw(ji,3) + zflagkb * fsdepw(ji,jj,jk+1) |
---|
746 | zdepw(ji,4) = zdepw(ji,4) + zflagkb * fsdepw(ji,jj,jkp2) |
---|
747 | |
---|
748 | zriblk(ji,1) = zriblk(ji,1) + zflagkb * zria(ji) |
---|
749 | zriblk(ji,2) = zriblk(ji,2) + zflagkb * zrib |
---|
750 | |
---|
751 | zmoek (ji,0) = zmoek (ji,0) + zflagkb * zek |
---|
752 | zmoek (ji,1) = zmoek (ji,1) + zflagkb * zmoa(ji) |
---|
753 | zmoek (ji,2) = zmoek (ji,2) + zflagkb * ztemp |
---|
754 | ! Save Monin Obukhov depth |
---|
755 | zmoa (ji) = zmob |
---|
756 | |
---|
757 | zvisc(ji,1) = zvisc(ji,1) + zflagkb * avmu(ji,jj,jkm1) |
---|
758 | zvisc(ji,2) = zvisc(ji,2) + zflagkb * avmu(ji,jj,jk ) |
---|
759 | zvisc(ji,3) = zvisc(ji,3) + zflagkb * avmu(ji,jj,jk+1) |
---|
760 | zvisc(ji,4) = zvisc(ji,4) + zflagkb * avmu(ji,jj,jkp2) |
---|
761 | |
---|
762 | zdift(ji,1) = zdift(ji,1) + zflagkb * avt (ji,jj,jkm1) |
---|
763 | zdift(ji,2) = zdift(ji,2) + zflagkb * avt (ji,jj,jk ) |
---|
764 | zdift(ji,3) = zdift(ji,3) + zflagkb * avt (ji,jj,jk+1) |
---|
765 | zdift(ji,4) = zdift(ji,4) + zflagkb * avt (ji,jj,jkp2) |
---|
766 | |
---|
767 | #if defined key_zdfddm |
---|
768 | zdifs(ji,1) = zdifs(ji,1) + zflagkb * avs (ji,jj,jkm1) |
---|
769 | zdifs(ji,2) = zdifs(ji,2) + zflagkb * avs (ji,jj,jk ) |
---|
770 | zdifs(ji,3) = zdifs(ji,3) + zflagkb * avs (ji,jj,jk+1) |
---|
771 | zdifs(ji,4) = zdifs(ji,4) + zflagkb * avs (ji,jj,jkp2) |
---|
772 | #endif |
---|
773 | ! Save the Richardson number |
---|
774 | zria (ji) = zrib |
---|
775 | #if defined key_c1d |
---|
776 | ! store buoyancy length scale |
---|
777 | buof(ji,jj,jk) = zbuofdep * tmask(ji,jj,jk) |
---|
778 | ! store Monin Obukhov |
---|
779 | zmob = zstabl * zmob + ( 1.0 - zstabl) * fsdept(ji,jj,1) |
---|
780 | mols(ji,jj,jk) = MIN( zmob , zhmax(ji) ) * tmask(ji,jj,jk) |
---|
781 | ! Bulk Richardson number |
---|
782 | rib(ji,jj,jk) = zrib * tmask(ji,jj,jk) |
---|
783 | #endif |
---|
784 | END DO |
---|
785 | END DO |
---|
786 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
787 | ! III PROCESS THE PIPE |
---|
788 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
789 | |
---|
790 | DO ji = fs_2, fs_jpim1 |
---|
791 | |
---|
792 | ! Find the boundary layer depth zhbl |
---|
793 | ! ---------------------------------------- |
---|
794 | |
---|
795 | ! Interpolate monin Obukhov and critical Ri mumber depths |
---|
796 | ztemp = zdept(ji,2) - zdept(ji,1) |
---|
797 | zflag = ( Ricr - zriblk(ji,1) ) / ( zriblk(ji,2) - zriblk(ji,1) + epsln ) |
---|
798 | zhrib = zdept(ji,1) + zflag * ztemp |
---|
799 | |
---|
800 | IF( zriblk(ji,2) < Ricr ) zhrib = zhmax(ji) |
---|
801 | |
---|
802 | IF( zmoek(ji,2) < zdept(ji,2) ) THEN |
---|
803 | IF ( zmoek(ji,1) < 0. ) THEN |
---|
804 | zmob = zdept(ji,2) - epsln |
---|
805 | ELSE |
---|
806 | zmob = ztemp + zmoek(ji,1) - zmoek(ji,2) |
---|
807 | zmob = ( zmoek(ji,1) * zdept(ji,2) - zmoek(ji,2) * zdept(ji,1) ) / zmob |
---|
808 | zmob = MAX( zmob , zdept(ji,1) + epsln ) |
---|
809 | ENDIF |
---|
810 | ELSE |
---|
811 | zmob = zhmax(ji) |
---|
812 | ENDIF |
---|
813 | ztemp = MIN( zmob , zmoek(ji,0) ) |
---|
814 | |
---|
815 | ! Finally, the boundary layer depth, zhbl |
---|
816 | zhbl(ji) = MAX( fsdept(ji,jj,1) + epsln, MIN( zhrib , ztemp ) ) |
---|
817 | |
---|
818 | ! Save hkpp for further diagnostics (optional) |
---|
819 | hkpp(ji,jj) = zhbl(ji) * tmask(ji,jj,1) |
---|
820 | |
---|
821 | ! Correct mask if zhbl < fsdepw(ji,jj,2) for no viscosity/diffusivity enhancement at fsdepw(ji,jj,2) |
---|
822 | ! zflag = 1 if zhbl(ji) > fsdepw(ji,jj,2) |
---|
823 | IF( zhbl(ji) < fsdepw(ji,jj,2) ) zmask(ji,2) = 0. |
---|
824 | |
---|
825 | |
---|
826 | ! Velocity scales at depth zhbl |
---|
827 | ! ----------------------------------- |
---|
828 | |
---|
829 | ! Compute bouyancy forcing down to zhbl |
---|
830 | ztemp = -hbf * zhbl(ji) |
---|
831 | zatt1 = 1.0 - ( rabs * EXP( ztemp / xsi1 ) + ( 1.0 - rabs ) * EXP( ztemp / xsi2 ) ) |
---|
832 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
---|
833 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
---|
834 | |
---|
835 | zbuofdep = zbuofdep + zstabl * epsln |
---|
836 | |
---|
837 | zscale = zstabl + ( 1.0 - zstabl ) * epsilon |
---|
838 | zehat = vonk * zscale * zhbl(ji) * zbuofdep |
---|
839 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
---|
840 | zeta = zehat / ( zucube + epsln ) |
---|
841 | |
---|
842 | IF( zehat > 0. ) THEN |
---|
843 | ! Stable case |
---|
844 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
---|
845 | zwm = zws |
---|
846 | ELSE |
---|
847 | ! Unstable case |
---|
848 | #if defined key_kpplktb |
---|
849 | ! use lookup table |
---|
850 | zd = zehat - dehatmin |
---|
851 | il = INT( zd / dezehat ) |
---|
852 | il = MIN( il, nilktbm1 ) |
---|
853 | il = MAX( il, 1 ) |
---|
854 | |
---|
855 | ud = zustar(ji,jj) - ustmin |
---|
856 | jl = INT( ud / deustar ) |
---|
857 | jl = MIN( jl, njlktbm1 ) |
---|
858 | jl = MAX( jl, 1 ) |
---|
859 | |
---|
860 | zfrac = zd / dezehat - FLOAT( il ) |
---|
861 | ufrac = ud / deustar - FLOAT( jl ) |
---|
862 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
---|
863 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
---|
864 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
---|
865 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
---|
866 | ! |
---|
867 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
---|
868 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
---|
869 | #else |
---|
870 | ! use analytical functions |
---|
871 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
---|
872 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
---|
873 | |
---|
874 | ! Momentum : zeta < rzetam (zconm = 1) |
---|
875 | ! Scalars : zeta < rzetas (zcons = 1) |
---|
876 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
---|
877 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
---|
878 | |
---|
879 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
---|
880 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
---|
881 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
---|
882 | zwsun = vonk * zustar(ji,jj) * zwmun |
---|
883 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
---|
884 | ! |
---|
885 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
---|
886 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
---|
887 | |
---|
888 | #endif |
---|
889 | ENDIF |
---|
890 | |
---|
891 | |
---|
892 | ! Viscosity, diffusivity values and derivatives at h |
---|
893 | ! -------------------------------------------------------- |
---|
894 | |
---|
895 | ! check between at which interfaces is located zhbl(ji) |
---|
896 | ! ztemp = 1, zdepw(ji,2) < zhbl < zdepw(ji,3) |
---|
897 | ! ztemp = 0, zdepw(ji,1) < zhbl < zdepw(ji,2) |
---|
898 | ztemp = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
---|
899 | zdep21 = zdepw(ji,2) - zdepw(ji,1) + epsln |
---|
900 | zdep32 = zdepw(ji,3) - zdepw(ji,2) + epsln |
---|
901 | zdep43 = zdepw(ji,4) - zdepw(ji,3) + epsln |
---|
902 | |
---|
903 | ! Compute R as in LMD94, eq D5b |
---|
904 | zdelta = ( zhbl(ji) - zdepw(ji,2) ) * ztemp / zdep32 & |
---|
905 | & + ( zhbl(ji) - zdepw(ji,1) ) * ( 1.0 - ztemp ) / zdep21 |
---|
906 | |
---|
907 | ! Compute the vertical derivative of viscosities (zdzh) at z=zhbl(ji) |
---|
908 | zdzup = ( zvisc(ji,2) - zvisc(ji,3) ) * ztemp / zdep32 & |
---|
909 | & + ( zvisc(ji,1) - zvisc(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
---|
910 | |
---|
911 | zdzdn = ( zvisc(ji,3) - zvisc(ji,4) ) * ztemp / zdep43 & |
---|
912 | & + ( zvisc(ji,2) - zvisc(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
---|
913 | |
---|
914 | ! LMD94, eq D5b : |
---|
915 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
---|
916 | zdzh = MAX( zdzh , 0. ) |
---|
917 | |
---|
918 | ! Compute viscosities (zvath) at z=zhbl(ji), LMD94 eq D5a |
---|
919 | zvath = ztemp * ( zvisc(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
---|
920 | & + ( 1.0 - ztemp ) * ( zvisc(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
---|
921 | |
---|
922 | ! Compute G (zgat1) and its derivative (zdat1) at z=hbl(ji), LMD94 eq 18 |
---|
923 | |
---|
924 | ! Vertical derivative of velocity scale divided by velocity scale squared at z=hbl(ji) |
---|
925 | ! (non zero only in stable conditions) |
---|
926 | zflag = -zstabl * rconc1 * zbuofdep / ( zucube * zustar(ji,jj) + epsln ) |
---|
927 | |
---|
928 | ! G at its derivative at z=hbl: |
---|
929 | zgat1 = zvath / ( zhbl(ji) * ( zwm + epsln ) ) |
---|
930 | zdat1 = -zdzh / ( zwm + epsln ) - zflag * zvath / zhbl(ji) |
---|
931 | |
---|
932 | ! G coefficients, LMD94 eq 17 |
---|
933 | za2m(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
---|
934 | za3m(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
---|
935 | |
---|
936 | |
---|
937 | ! Compute the vertical derivative of temperature diffusivities (zdzh) at z=zhbl(ji) |
---|
938 | zdzup = ( zdift(ji,2) - zdift(ji,3) ) * ztemp / zdep32 & |
---|
939 | & + ( zdift(ji,1) - zdift(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
---|
940 | |
---|
941 | zdzdn = ( zdift(ji,3) - zdift(ji,4) ) * ztemp / zdep43 & |
---|
942 | & + ( zdift(ji,2) - zdift(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
---|
943 | |
---|
944 | ! LMD94, eq D5b : |
---|
945 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
---|
946 | zdzh = MAX( zdzh , 0. ) |
---|
947 | |
---|
948 | |
---|
949 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
---|
950 | zvath = ztemp * ( zdift(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
---|
951 | & + ( 1.0 - ztemp ) * ( zdift(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
---|
952 | |
---|
953 | ! G at its derivative at z=hbl: |
---|
954 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
---|
955 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
---|
956 | |
---|
957 | ! G coefficients, LMD94 eq 17 |
---|
958 | za2t(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
---|
959 | za3t(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
---|
960 | |
---|
961 | #if defined key_zdfddm |
---|
962 | ! Compute the vertical derivative of salinities diffusivities (zdzh) at z=zhbl(ji) |
---|
963 | zdzup = ( zdifs(ji,2) - zdifs(ji,3) ) * ztemp / zdep32 & |
---|
964 | & + ( zdifs(ji,1) - zdifs(ji,2) ) * ( 1.0 - ztemp ) / zdep21 |
---|
965 | |
---|
966 | zdzdn = ( zdifs(ji,3) - zdifs(ji,4) ) * ztemp / zdep43 & |
---|
967 | & + ( zdifs(ji,2) - zdifs(ji,3) ) * ( 1.0 - ztemp ) / zdep32 |
---|
968 | |
---|
969 | ! LMD94, eq D5b : |
---|
970 | zdzh = ( 1.0 - zdelta ) * zdzup + zdelta * zdzdn |
---|
971 | zdzh = MAX( zdzh , 0. ) |
---|
972 | |
---|
973 | ! Compute diffusivities (zvath) at z=zhbl(ji), LMD94 eq D5a |
---|
974 | zvath = ztemp * ( zdifs(ji,3) + zdzh * ( zdepw(ji,3) - zhbl(ji) ) ) & |
---|
975 | & + ( 1.0 - ztemp ) * ( zdifs(ji,2) + zdzh * ( zdepw(ji,2) - zhbl(ji) ) ) |
---|
976 | |
---|
977 | ! G at its derivative at z=hbl: |
---|
978 | zgat1 = zvath / ( zhbl(ji) * ( zws + epsln ) ) |
---|
979 | zdat1 = -zdzh / ( zws + epsln ) - zflag * zvath / zhbl(ji) |
---|
980 | |
---|
981 | ! G coefficients, LMD94 eq 17 |
---|
982 | za2s(ji) = -2.0 + 3.0 * zgat1 - zdat1 |
---|
983 | za3s(ji) = 1.0 - 2.0 * zgat1 + zdat1 |
---|
984 | #endif |
---|
985 | |
---|
986 | !-------------------turn off interior matching here------ |
---|
987 | ! za2(ji,1) = -2.0 |
---|
988 | ! za3(ji,1) = 1.0 |
---|
989 | ! za2(ji,2) = -2.0 |
---|
990 | ! za3(ji,2) = 1.0 |
---|
991 | !-------------------------------------------------------- |
---|
992 | |
---|
993 | ! Compute Enhanced Mixing Coefficients (LMD94,eq D6) |
---|
994 | ! --------------------------------------------------------------- |
---|
995 | |
---|
996 | ! Delta |
---|
997 | zdelta = ( zhbl(ji) - zdept(ji,1) ) / ( zdept(ji,2) - zdept(ji,1) + epsln ) |
---|
998 | zdelta2 = zdelta * zdelta |
---|
999 | |
---|
1000 | ! Mixing coefficients at first level above h (zdept(ji,1)) |
---|
1001 | ! and at first interface in the pipe (zdepw(ji,2)) |
---|
1002 | |
---|
1003 | ! At first T level above h (zdept(ji,1)) (always in the boundary layer) |
---|
1004 | zsig = zdept(ji,1) / zhbl(ji) |
---|
1005 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
---|
1006 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
---|
1007 | zeta = zehat / ( zucube + epsln) |
---|
1008 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
---|
1009 | zwm = zstabl * zwst + ( 1.0 - zstabl ) * zwm |
---|
1010 | zws = zstabl * zwst + ( 1.0 - zstabl ) * zws |
---|
1011 | |
---|
1012 | zkm1m = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
---|
1013 | zkm1t = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
---|
1014 | #if defined key_zdfddm |
---|
1015 | zkm1s = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
---|
1016 | #endif |
---|
1017 | ! At first W level in the pipe (zdepw(ji,2)) (not always in the boundary layer ): |
---|
1018 | zsig = MIN( zdepw(ji,2) / zhbl(ji) , 1.0 ) |
---|
1019 | ztemp = zstabl * zsig + ( 1.0 - zstabl ) * MIN( zsig , epsilon ) |
---|
1020 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
---|
1021 | zeta = zehat / ( zucube + epsln ) |
---|
1022 | zwst = vonk * zustar(ji,jj) / ( ABS( 1.0 + rconc1 * zeta ) + epsln) |
---|
1023 | zws = zstabl * zws + ( 1.0 - zstabl ) * zws |
---|
1024 | zwm = zstabl * zws + ( 1.0 - zstabl ) * zwm |
---|
1025 | |
---|
1026 | zkmpm(ji) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
---|
1027 | zkmpt(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
---|
1028 | #if defined key_zdfddm |
---|
1029 | zkmps(ji) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
---|
1030 | #endif |
---|
1031 | |
---|
1032 | ! check if this point is in the boundary layer,else take interior viscosity/diffusivity: |
---|
1033 | zflag = 0.5 + SIGN( 0.5, ( zhbl(ji) - zdepw(ji,2) ) ) |
---|
1034 | zkmpm(ji) = zkmpm(ji) * zflag + ( 1.0 - zflag ) * zvisc(ji,2) |
---|
1035 | zkmpt(ji) = zkmpt(ji) * zflag + ( 1.0 - zflag ) * zdift(ji,2) |
---|
1036 | #if defined key_zdfddm |
---|
1037 | zkmps(ji) = zkmps(ji) * zflag + ( 1.0 - zflag ) * zdifs(ji,2) |
---|
1038 | #endif |
---|
1039 | |
---|
1040 | ! Enhanced viscosity/diffusivity at zdepw(ji,2) |
---|
1041 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1m + zdelta2 * zkmpm(ji) |
---|
1042 | zkmpm(ji) = ( 1.0 - zdelta ) * zvisc(ji,2) + zdelta * ztemp |
---|
1043 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1t + zdelta2 * zkmpt(ji) |
---|
1044 | zkmpt(ji) = ( 1.0 - zdelta ) * zdift(ji,2) + zdelta * ztemp |
---|
1045 | #if defined key_zdfddm |
---|
1046 | ztemp = ( 1.0 - 2.0 * zdelta + zdelta2 ) * zkm1s + zdelta2 * zkmps(ji) |
---|
1047 | zkmps(ji) = ( 1.0 - zdelta ) * zdifs(ji,2) + zdelta * ztemp |
---|
1048 | #endif |
---|
1049 | |
---|
1050 | END DO |
---|
1051 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
1052 | ! IV. Compute vertical eddy viscosity and diffusivity coefficients |
---|
1053 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
1054 | |
---|
1055 | DO jk = 2, jkmax |
---|
1056 | |
---|
1057 | ! Compute turbulent velocity scales on the interfaces |
---|
1058 | ! -------------------------------------------------------- |
---|
1059 | DO ji = fs_2, fs_jpim1 |
---|
1060 | zbuofdep = zBo(ji,jj) + zBosol(ji,jj) * zatt1 |
---|
1061 | zstabl = 0.5 + SIGN( 0.5 , zbuofdep ) |
---|
1062 | zbuofdep = zbuofdep + zstabl * epsln |
---|
1063 | zsig = fsdepw(ji,jj,jk) / zhbl(ji) |
---|
1064 | ztemp = zstabl * zsig + ( 1. - zstabl ) * MIN( zsig , epsilon ) |
---|
1065 | zehat = vonk * ztemp * zhbl(ji) * zbuofdep |
---|
1066 | zucube = zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) |
---|
1067 | zeta = zehat / ( zucube + epsln ) |
---|
1068 | |
---|
1069 | IF( zehat > 0. ) THEN |
---|
1070 | ! Stable case |
---|
1071 | zws = vonk * zustar(ji,jj) / ( 1.0 + rconc1 * zeta ) |
---|
1072 | zwm = zws |
---|
1073 | ELSE |
---|
1074 | ! Unstable case |
---|
1075 | #if defined key_kpplktb |
---|
1076 | ! use lookup table |
---|
1077 | zd = zehat - dehatmin |
---|
1078 | il = INT( zd / dezehat ) |
---|
1079 | il = MIN( il, nilktbm1 ) |
---|
1080 | il = MAX( il, 1 ) |
---|
1081 | |
---|
1082 | ud = zustar(ji,jj) - ustmin |
---|
1083 | jl = INT( ud / deustar ) |
---|
1084 | jl = MIN( jl, njlktbm1 ) |
---|
1085 | jl = MAX( jl, 1 ) |
---|
1086 | |
---|
1087 | zfrac = zd / dezehat - FLOAT( il ) |
---|
1088 | ufrac = ud / deustar - FLOAT( jl ) |
---|
1089 | zwas = ( 1. - zfrac ) * wslktb(il,jl+1) + zfrac * wslktb(il+1,jl+1) |
---|
1090 | zwbs = ( 1. - zfrac ) * wslktb(il,jl ) + zfrac * wslktb(il+1,jl ) |
---|
1091 | zwam = ( 1. - zfrac ) * wmlktb(il,jl+1) + zfrac * wmlktb(il+1,jl+1) |
---|
1092 | zwbm = ( 1. - zfrac ) * wmlktb(il,jl ) + zfrac * wmlktb(il+1,jl ) |
---|
1093 | ! |
---|
1094 | zws = ( 1. - ufrac ) * zwbs + ufrac * zwas |
---|
1095 | zwm = ( 1. - ufrac ) * zwbm + ufrac * zwam |
---|
1096 | #else |
---|
1097 | ! use analytical functions |
---|
1098 | zconm = 0.5 + SIGN( 0.5, ( rzetam - zeta) ) |
---|
1099 | zcons = 0.5 + SIGN( 0.5, ( rzetas - zeta) ) |
---|
1100 | |
---|
1101 | ! Momentum : zeta < rzetam (zconm = 1) |
---|
1102 | ! Scalars : zeta < rzetas (zcons = 1) |
---|
1103 | zwconm = zustar(ji,jj) * vonk * ( ( ABS( rconam - rconcm * zeta) )**pthird ) |
---|
1104 | zwcons = zustar(ji,jj) * vonk * ( ( ABS( rconas - rconcs * zeta) )**pthird ) |
---|
1105 | |
---|
1106 | ! Momentum : rzetam <= zeta < 0 (zconm = 0) |
---|
1107 | ! Scalars : rzetas <= zeta < 0 (zcons = 0) |
---|
1108 | zwmun = SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
---|
1109 | zwsun = vonk * zustar(ji,jj) * zwmun |
---|
1110 | zwmun = vonk * zustar(ji,jj) * SQRT(zwmun) |
---|
1111 | ! |
---|
1112 | zwm = zconm * zwconm + ( 1.0 - zconm ) * zwmun |
---|
1113 | zws = zcons * zwcons + ( 1.0 - zcons ) * zwsun |
---|
1114 | |
---|
1115 | #endif |
---|
1116 | ENDIF |
---|
1117 | |
---|
1118 | zblcm(ji,jk) = zhbl(ji) * zwm * zsig * ( 1.0 + zsig * ( za2m(ji) + zsig * za3m(ji) ) ) |
---|
1119 | zblct(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2t(ji) + zsig * za3t(ji) ) ) |
---|
1120 | #if defined key_zdfddm |
---|
1121 | zblcs(ji,jk) = zhbl(ji) * zws * zsig * ( 1.0 + zsig * ( za2s(ji) + zsig * za3s(ji) ) ) |
---|
1122 | #endif |
---|
1123 | ! Compute Nonlocal transport term = ghats * <ws>o |
---|
1124 | ! ---------------------------------------------------- |
---|
1125 | ghats(ji,jj,jk-1) = ( 1. - zstabl ) * rcg / ( zws * zhbl(ji) + epsln ) * tmask(ji,jj,jk) |
---|
1126 | |
---|
1127 | END DO |
---|
1128 | END DO |
---|
1129 | ! Combine interior and boundary layer coefficients and nonlocal term |
---|
1130 | ! ----------------------------------------------------------------------- |
---|
1131 | DO jk = 2, jpkm1 |
---|
1132 | DO ji = fs_2, fs_jpim1 |
---|
1133 | zflag = zmask(ji,jk) * zmask(ji,jk+1) |
---|
1134 | zviscos(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avmu (ji,jj,jk) & ! interior viscosities |
---|
1135 | & + zflag * zblcm(ji,jk ) & ! boundary layer viscosities |
---|
1136 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpm(ji ) ! viscosity enhancement at W_level near zhbl |
---|
1137 | |
---|
1138 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1139 | |
---|
1140 | |
---|
1141 | zdiffut(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avt (ji,jj,jk) & ! interior diffusivities |
---|
1142 | & + zflag * zblct(ji,jk ) & ! boundary layer diffusivities |
---|
1143 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmpt(ji ) ! diffusivity enhancement at W_level near zhbl |
---|
1144 | |
---|
1145 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1146 | #if defined key_zdfddm |
---|
1147 | zdiffus(ji,jj,jk) = ( 1.0 - zmask(ji,jk) ) * avs (ji,jj,jk) & ! interior diffusivities |
---|
1148 | & + zflag * zblcs(ji,jk ) & ! boundary layer diffusivities |
---|
1149 | & + zmask(ji,jk) * ( 1.0 - zflag ) * zkmps(ji ) ! diffusivity enhancement at W_level near zhbl |
---|
1150 | |
---|
1151 | zdiffus(ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1152 | #endif |
---|
1153 | ! Non local flux in the boundary layer only |
---|
1154 | ghats(ji,jj,jk-1) = zmask(ji,jk) * ghats(ji,jj,jk-1) |
---|
1155 | |
---|
1156 | ENDDO |
---|
1157 | END DO |
---|
1158 | ! ! =============== |
---|
1159 | END DO ! End of slab |
---|
1160 | ! ! =============== |
---|
1161 | |
---|
1162 | ! Lateral boundary conditions on zvicos and zdiffus (sign unchanged) |
---|
1163 | CALL lbc_lnk( zviscos(:,:,:), 'U', 1. ) ; CALL lbc_lnk( zdiffut(:,:,:), 'W', 1. ) |
---|
1164 | #if defined key_zdfddm |
---|
1165 | CALL lbc_lnk( zdiffus(:,:,:), 'W', 1. ) |
---|
1166 | #endif |
---|
1167 | |
---|
1168 | SELECT CASE ( nn_ave ) |
---|
1169 | ! |
---|
1170 | CASE ( 0 ) ! no viscosity and diffusivity smoothing |
---|
1171 | |
---|
1172 | #if defined key_z_first |
---|
1173 | DO jj = 2, jpjm1 |
---|
1174 | DO ji = 2, jpim1 |
---|
1175 | DO jk = 2, jpkm1 |
---|
1176 | #else |
---|
1177 | DO jk = 2, jpkm1 |
---|
1178 | DO jj = 2, jpjm1 |
---|
1179 | DO ji = fs_2, fs_jpim1 |
---|
1180 | #endif |
---|
1181 | avmu(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji+1,jj,jk) ) & |
---|
1182 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
---|
1183 | |
---|
1184 | avmv(ji,jj,jk) = ( zviscos(ji,jj,jk) + zviscos(ji,jj+1,jk) ) & |
---|
1185 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
1186 | |
---|
1187 | avt (ji,jj,jk) = zdiffut(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1188 | #if defined key_zdfddm |
---|
1189 | avs (ji,jj,jk) = zdiffus(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1190 | #endif |
---|
1191 | END DO |
---|
1192 | END DO |
---|
1193 | END DO |
---|
1194 | |
---|
1195 | CASE ( 1 ) ! viscosity and diffusivity smoothing |
---|
1196 | ! |
---|
1197 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
---|
1198 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
---|
1199 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
---|
1200 | |
---|
1201 | #if defined key_z_first |
---|
1202 | DO jj = 2, jpjm1 |
---|
1203 | DO ji = 2, jpim1 |
---|
1204 | DO jk = 2, jpkm1 |
---|
1205 | #else |
---|
1206 | DO jk = 2, jpkm1 |
---|
1207 | DO jj = 2, jpjm1 |
---|
1208 | DO ji = fs_2, fs_jpim1 |
---|
1209 | #endif |
---|
1210 | |
---|
1211 | avmu(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji+1,jj ,jk) & |
---|
1212 | & +.5*( zviscos(ji ,jj-1,jk) + zviscos(ji+1,jj-1,jk) & |
---|
1213 | & +zviscos(ji ,jj+1,jk) + zviscos(ji+1,jj+1,jk) ) ) * eumean(ji,jj,jk) |
---|
1214 | |
---|
1215 | avmv(ji,jj,jk) = ( zviscos(ji ,jj ,jk) + zviscos(ji ,jj+1,jk) & |
---|
1216 | & +.5*( zviscos(ji-1,jj ,jk) + zviscos(ji-1,jj+1,jk) & |
---|
1217 | & +zviscos(ji+1,jj ,jk) + zviscos(ji+1,jj+1,jk) ) ) * evmean(ji,jj,jk) |
---|
1218 | |
---|
1219 | avt (ji,jj,jk) = ( .5*( zdiffut(ji-1,jj+1,jk) + zdiffut(ji-1,jj-1,jk) & |
---|
1220 | & +zdiffut(ji+1,jj+1,jk) + zdiffut(ji+1,jj-1,jk) ) & |
---|
1221 | & +1.*( zdiffut(ji-1,jj ,jk) + zdiffut(ji ,jj+1,jk) & |
---|
1222 | & +zdiffut(ji ,jj-1,jk) + zdiffut(ji+1,jj ,jk) ) & |
---|
1223 | & +2.* zdiffut(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
---|
1224 | #if defined key_zdfddm |
---|
1225 | avs (ji,jj,jk) = ( .5*( zdiffus(ji-1,jj+1,jk) + zdiffus(ji-1,jj-1,jk) & |
---|
1226 | & +zdiffus(ji+1,jj+1,jk) + zdiffus(ji+1,jj-1,jk) ) & |
---|
1227 | & +1.*( zdiffus(ji-1,jj ,jk) + zdiffus(ji ,jj+1,jk) & |
---|
1228 | & +zdiffus(ji ,jj-1,jk) + zdiffus(ji+1,jj ,jk) ) & |
---|
1229 | & +2.* zdiffus(ji ,jj ,jk) ) * etmean(ji,jj,jk) |
---|
1230 | #endif |
---|
1231 | END DO |
---|
1232 | END DO |
---|
1233 | END DO |
---|
1234 | |
---|
1235 | END SELECT |
---|
1236 | |
---|
1237 | #if defined key_z_first |
---|
1238 | ! |
---|
1239 | ! Minimum value on the eddy diffusivity |
---|
1240 | ! ---------------------------------------- |
---|
1241 | DO jj = 2, jpjm1 |
---|
1242 | DO ji = 2, jpim1 |
---|
1243 | DO jk = 2, jpkm1 |
---|
1244 | avt(ji,jj,jk) = MAX( avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1245 | #if defined key_zdfddm |
---|
1246 | avs(ji,jj,jk) = MAX( avs(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1247 | #endif |
---|
1248 | END DO |
---|
1249 | END DO |
---|
1250 | END DO |
---|
1251 | ! |
---|
1252 | ! Minimum value on the eddy viscosity |
---|
1253 | ! ---------------------------------------- |
---|
1254 | DO jj = 1, jpj |
---|
1255 | DO ji = 1, jpi |
---|
1256 | DO jk = 2, jpkm1 |
---|
1257 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
---|
1258 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
---|
1259 | END DO |
---|
1260 | END DO |
---|
1261 | END DO |
---|
1262 | #else |
---|
1263 | DO jk = 2, jpkm1 ! vertical slab |
---|
1264 | ! |
---|
1265 | ! Minimum value on the eddy diffusivity |
---|
1266 | ! ---------------------------------------- |
---|
1267 | DO jj = 2, jpjm1 |
---|
1268 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
1269 | avt(ji,jj,jk) = MAX( avt(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1270 | #if defined key_zdfddm |
---|
1271 | avs(ji,jj,jk) = MAX( avs(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1272 | #endif |
---|
1273 | END DO |
---|
1274 | END DO |
---|
1275 | |
---|
1276 | ! |
---|
1277 | ! Minimum value on the eddy viscosity |
---|
1278 | ! ---------------------------------------- |
---|
1279 | DO jj = 1, jpj |
---|
1280 | DO ji = 1, jpi |
---|
1281 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), avmb(jk) ) * umask(ji,jj,jk) |
---|
1282 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), avmb(jk) ) * vmask(ji,jj,jk) |
---|
1283 | END DO |
---|
1284 | END DO |
---|
1285 | ! |
---|
1286 | END DO |
---|
1287 | #endif |
---|
1288 | |
---|
1289 | ! Lateral boundary conditions on avt (sign unchanged) |
---|
1290 | CALL lbc_lnk( hkpp(:,:), 'T', 1. ) |
---|
1291 | |
---|
1292 | ! Lateral boundary conditions on avt (sign unchanged) |
---|
1293 | CALL lbc_lnk( avt(:,:,:), 'W', 1. ) |
---|
1294 | #if defined key_zdfddm |
---|
1295 | CALL lbc_lnk( avs(:,:,:), 'W', 1. ) |
---|
1296 | #endif |
---|
1297 | ! Lateral boundary conditions (avmu,avmv) (U- and V- points, sign unchanged) |
---|
1298 | CALL lbc_lnk( avmu(:,:,:), 'U', 1. ) ; CALL lbc_lnk( avmv(:,:,:), 'V', 1. ) |
---|
1299 | |
---|
1300 | IF(ln_ctl) THEN |
---|
1301 | #if defined key_zdfddm |
---|
1302 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', tab3d_2=avs , clinfo2=' s: ', ovlap=1, kdim=jpk) |
---|
1303 | #else |
---|
1304 | CALL prt_ctl(tab3d_1=avt , clinfo1=' kpp - t: ', ovlap=1, kdim=jpk) |
---|
1305 | #endif |
---|
1306 | CALL prt_ctl(tab3d_1=avmu, clinfo1=' kpp - u: ', mask1=umask, & |
---|
1307 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk) |
---|
1308 | ENDIF |
---|
1309 | |
---|
1310 | IF( wrk_not_released(1, 1,2,3,4,5,6,7,8,9,10,11,12,13,14) .OR. & |
---|
1311 | wrk_not_released(2, 1,2,3,4,5,6,7,8,9,10,11) .OR. & |
---|
1312 | wrk_not_released_xz(1,2,3) ) & |
---|
1313 | CALL ctl_stop('zdf_kpp : failed to release workspace arrays') |
---|
1314 | ! |
---|
1315 | END SUBROUTINE zdf_kpp |
---|
1316 | |
---|
1317 | !! * Reset control of array index permutation |
---|
1318 | # include "oce_ftrans.h90" |
---|
1319 | # include "dom_oce_ftrans.h90" |
---|
1320 | # include "zdf_oce_ftrans.h90" |
---|
1321 | # include "sbc_oce_ftrans.h90" |
---|
1322 | # include "zdfddm_ftrans.h90" |
---|
1323 | !FTRANS ghats :I :I :z |
---|
1324 | !FTRANS etmean eumean evmean :I :I :z |
---|
1325 | #if defined key_c1d |
---|
1326 | !FTRANS rig rib buof mols :I :I :z |
---|
1327 | #endif |
---|
1328 | |
---|
1329 | SUBROUTINE tra_kpp( kt ) |
---|
1330 | !!---------------------------------------------------------------------- |
---|
1331 | !! *** ROUTINE tra_kpp *** |
---|
1332 | !! |
---|
1333 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
1334 | !! |
---|
1335 | !! ** Method : ??? |
---|
1336 | !!---------------------------------------------------------------------- |
---|
1337 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
1338 | !!---------------------------------------------------------------------- |
---|
1339 | !FTRANS ztrdt ztrds :I :I :z |
---|
1340 | INTEGER, INTENT(in) :: kt |
---|
1341 | INTEGER :: ji, jj, jk |
---|
1342 | |
---|
1343 | IF( kt == nit000 ) THEN |
---|
1344 | IF(lwp) WRITE(numout,*) |
---|
1345 | IF(lwp) WRITE(numout,*) 'tra_kpp : KPP non-local tracer fluxes' |
---|
1346 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
1347 | ENDIF |
---|
1348 | |
---|
1349 | IF( l_trdtra ) THEN !* Save ta and sa trends |
---|
1350 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
---|
1351 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
---|
1352 | ENDIF |
---|
1353 | |
---|
1354 | ! add non-local temperature and salinity flux ( in convective case only) |
---|
1355 | #if defined key_z_first |
---|
1356 | DO jj = 2, jpjm1 |
---|
1357 | DO ji = 2, jpim1 |
---|
1358 | DO jk = 1, jpkm1 |
---|
1359 | #else |
---|
1360 | DO jk = 1, jpkm1 |
---|
1361 | DO jj = 2, jpjm1 |
---|
1362 | DO ji = fs_2, fs_jpim1 |
---|
1363 | #endif |
---|
1364 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
---|
1365 | & - ( ghats(ji,jj,jk ) * avt (ji,jj,jk ) & |
---|
1366 | & - ghats(ji,jj,jk+1) * avt (ji,jj,jk+1) ) * wt0(ji,jj) / fse3t(ji,jj,jk) |
---|
1367 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
---|
1368 | & - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) & |
---|
1369 | & - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * ws0(ji,jj) / fse3t(ji,jj,jk) |
---|
1370 | END DO |
---|
1371 | END DO |
---|
1372 | END DO |
---|
1373 | |
---|
1374 | ! save the non-local tracer flux trends for diagnostic |
---|
1375 | IF( l_trdtra ) THEN |
---|
1376 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
---|
1377 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
---|
1378 | !!bug gm jpttdzdf ==> jpttkpp |
---|
1379 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_trd_zdf, ztrdt ) |
---|
1380 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_trd_zdf, ztrds ) |
---|
1381 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
---|
1382 | ENDIF |
---|
1383 | |
---|
1384 | IF(ln_ctl) THEN |
---|
1385 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' kpp - Ta: ', mask1=tmask, & |
---|
1386 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
1387 | ENDIF |
---|
1388 | |
---|
1389 | END SUBROUTINE tra_kpp |
---|
1390 | |
---|
1391 | #if defined key_top |
---|
1392 | |
---|
1393 | !! * Reset control of array index permutation |
---|
1394 | # include "oce_ftrans.h90" |
---|
1395 | # include "dom_oce_ftrans.h90" |
---|
1396 | # include "zdf_oce_ftrans.h90" |
---|
1397 | # include "sbc_oce_ftrans.h90" |
---|
1398 | # include "zdfddm_ftrans.h90" |
---|
1399 | !FTRANS ghats :I :I :z |
---|
1400 | !FTRANS etmean eumean evmean :I :I :z |
---|
1401 | #if defined key_c1d |
---|
1402 | !FTRANS rig rib buof mols :I :I :z |
---|
1403 | #endif |
---|
1404 | |
---|
1405 | !!---------------------------------------------------------------------- |
---|
1406 | !! 'key_top' TOP models |
---|
1407 | !!---------------------------------------------------------------------- |
---|
1408 | SUBROUTINE trc_kpp( kt ) |
---|
1409 | !!---------------------------------------------------------------------- |
---|
1410 | !! *** ROUTINE trc_kpp *** |
---|
1411 | !! |
---|
1412 | !! ** Purpose : compute and add to the tracer trend the non-local |
---|
1413 | !! tracer flux |
---|
1414 | !! |
---|
1415 | !! ** Method : ??? |
---|
1416 | !! |
---|
1417 | !! history : |
---|
1418 | !! 9.0 ! 2005-11 (G. Madec) Original code |
---|
1419 | !! NEMO 3.3 ! 2010-06 (C. Ethe ) Adapted to passive tracers |
---|
1420 | !!---------------------------------------------------------------------- |
---|
1421 | USE trc |
---|
1422 | USE prtctl_trc ! Print control |
---|
1423 | ! |
---|
1424 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
1425 | ! |
---|
1426 | INTEGER :: ji, jj, jk, jn ! Dummy loop indices |
---|
1427 | REAL(wp) :: ztra, zflx |
---|
1428 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd |
---|
1429 | !FTRANS ztrtrd :I :I :z |
---|
1430 | !!---------------------------------------------------------------------- |
---|
1431 | |
---|
1432 | IF( kt == nit000 ) THEN |
---|
1433 | IF(lwp) WRITE(numout,*) |
---|
1434 | IF(lwp) WRITE(numout,*) 'trc_kpp : KPP non-local tracer fluxes' |
---|
1435 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
1436 | ENDIF |
---|
1437 | |
---|
1438 | IF( l_trdtrc ) ALLOCATE( ztrtrd(jpi,jpj,jpk) ) |
---|
1439 | ! |
---|
1440 | DO jn = 1, jptra |
---|
1441 | ! |
---|
1442 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) |
---|
1443 | ! add non-local on passive tracer flux ( in convective case only) |
---|
1444 | #if defined key_z_first |
---|
1445 | DO jj = 2, jpjm1 |
---|
1446 | DO ji = 2, jpim1 |
---|
1447 | DO jk = 1, jpkm1 |
---|
1448 | #else |
---|
1449 | DO jk = 1, jpkm1 |
---|
1450 | DO jj = 2, jpjm1 |
---|
1451 | DO ji = fs_2, fs_jpim1 |
---|
1452 | #endif |
---|
1453 | ! Surface tracer flux for non-local term |
---|
1454 | zflx = - ( emps(ji,jj) * tra(ji,jj,1,jn) * rcs ) * tmask(ji,jj,1) |
---|
1455 | ! compute the trend |
---|
1456 | ztra = - ( ghats(ji,jj,jk ) * fsavs(ji,jj,jk ) & |
---|
1457 | & - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) * zflx / fse3t(ji,jj,jk) |
---|
1458 | ! add the trend to the general trend |
---|
1459 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
---|
1460 | END DO |
---|
1461 | END DO |
---|
1462 | END DO |
---|
1463 | ! save the non-local tracer flux trends for diagnostic |
---|
1464 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) - ztrtrd(:,:,:) |
---|
1465 | CALL trd_tra( kt, 'TRC', jn, jptra_trd_zdf, ztrtrd(:,:,:,jn) ) |
---|
1466 | ! |
---|
1467 | END DO |
---|
1468 | IF( l_trdtrc ) DEALLOCATE( ztrtrd ) |
---|
1469 | IF( ln_ctl ) THEN |
---|
1470 | WRITE(charout, FMT="(' kpp')") ; CALL prt_ctl_trc_info(charout) |
---|
1471 | CALL prt_ctl_trc( tab4d=tra, mask=tmask, clinfo=clname, clinfo2='trd' ) |
---|
1472 | ENDIF |
---|
1473 | ! |
---|
1474 | END SUBROUTINE trc_kpp |
---|
1475 | |
---|
1476 | #else |
---|
1477 | !!---------------------------------------------------------------------- |
---|
1478 | !! NO 'key_top' DUMMY routine No TOP models |
---|
1479 | !!---------------------------------------------------------------------- |
---|
1480 | SUBROUTINE trc_kpp( kt ) ! Dummy routine |
---|
1481 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
1482 | WRITE(*,*) 'tra_kpp: You should not have seen this print! error?', kt |
---|
1483 | END SUBROUTINE trc_kpp |
---|
1484 | #endif |
---|
1485 | |
---|
1486 | !! * Reset control of array index permutation |
---|
1487 | # include "oce_ftrans.h90" |
---|
1488 | # include "dom_oce_ftrans.h90" |
---|
1489 | # include "zdf_oce_ftrans.h90" |
---|
1490 | # include "sbc_oce_ftrans.h90" |
---|
1491 | # include "zdfddm_ftrans.h90" |
---|
1492 | !FTRANS ghats :I :I :z |
---|
1493 | !FTRANS etmean eumean evmean :I :I :z |
---|
1494 | #if defined key_c1d |
---|
1495 | !FTRANS rig rib buof mols :I :I :z |
---|
1496 | #endif |
---|
1497 | |
---|
1498 | |
---|
1499 | SUBROUTINE zdf_kpp_init |
---|
1500 | !!---------------------------------------------------------------------- |
---|
1501 | !! *** ROUTINE zdf_kpp_init *** |
---|
1502 | !! |
---|
1503 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
1504 | !! viscosity when using a kpp turbulent closure scheme |
---|
1505 | !! |
---|
1506 | !! ** Method : Read the namkpp namelist and check the parameters |
---|
1507 | !! called at the first timestep (nit000) |
---|
1508 | !! |
---|
1509 | !! ** input : Namlist namkpp |
---|
1510 | !!---------------------------------------------------------------------- |
---|
1511 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
1512 | #if ! defined key_kppcustom |
---|
1513 | INTEGER :: jm ! dummy loop indices |
---|
1514 | REAL(wp) :: zref, zdist ! tempory scalars |
---|
1515 | #endif |
---|
1516 | #if defined key_kpplktb |
---|
1517 | REAL(wp) :: zustar, zucube, zustvk, zeta, zehat ! tempory scalars |
---|
1518 | #endif |
---|
1519 | REAL(wp) :: zhbf ! tempory scalars |
---|
1520 | LOGICAL :: ll_kppcustom ! 1st ocean level taken as surface layer |
---|
1521 | LOGICAL :: ll_kpplktb ! Lookup table for turbul. velocity scales |
---|
1522 | !! |
---|
1523 | NAMELIST/namzdf_kpp/ ln_kpprimix, rn_difmiw, rn_difsiw, rn_riinfty, rn_difri, rn_bvsqcon, rn_difcon, nn_ave |
---|
1524 | !!---------------------------------------------------------------------- |
---|
1525 | |
---|
1526 | REWIND ( numnam ) ! Read Namelist namkpp : K-Profile Parameterisation |
---|
1527 | READ ( numnam, namzdf_kpp ) |
---|
1528 | |
---|
1529 | IF(lwp) THEN ! Control print |
---|
1530 | WRITE(numout,*) |
---|
1531 | WRITE(numout,*) 'zdf_kpp_init : K-Profile Parameterisation' |
---|
1532 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
1533 | WRITE(numout,*) ' Namelist namzdf_kpp : set tke mixing parameters' |
---|
1534 | WRITE(numout,*) ' Shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
1535 | WRITE(numout,*) ' max. internal wave viscosity rn_difmiw = ', rn_difmiw |
---|
1536 | WRITE(numout,*) ' max. internal wave diffusivity rn_difsiw = ', rn_difsiw |
---|
1537 | WRITE(numout,*) ' Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
1538 | WRITE(numout,*) ' max. shear mixing at Rig = 0 rn_difri = ', rn_difri |
---|
1539 | WRITE(numout,*) ' Brunt-Vaisala squared for max. convection rn_bvsqcon = ', rn_bvsqcon |
---|
1540 | WRITE(numout,*) ' max. mix. in interior convec. rn_difcon = ', rn_difcon |
---|
1541 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
---|
1542 | ENDIF |
---|
1543 | |
---|
1544 | ! ! allocate zdfkpp arrays |
---|
1545 | IF( zdf_kpp_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_kpp_init : unable to allocate arrays' ) |
---|
1546 | |
---|
1547 | ll_kppcustom = .FALSE. |
---|
1548 | ll_kpplktb = .FALSE. |
---|
1549 | |
---|
1550 | #if defined key_kppcustom |
---|
1551 | ll_kppcustom = .TRUE. |
---|
1552 | #endif |
---|
1553 | #if defined key_kpplktb |
---|
1554 | ll_kpplktb = .TRUE. |
---|
1555 | #endif |
---|
1556 | IF(lwp) THEN |
---|
1557 | WRITE(numout,*) ' Lookup table for turbul. velocity scales ll_kpplktb = ', ll_kpplktb |
---|
1558 | WRITE(numout,*) ' 1st ocean level taken as surface layer ll_kppcustom = ', ll_kppcustom |
---|
1559 | ENDIF |
---|
1560 | |
---|
1561 | IF( lk_zdfddm) THEN |
---|
1562 | IF(lwp) THEN |
---|
1563 | WRITE(numout,*) |
---|
1564 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
1565 | WRITE(numout,*) ' CAUTION : done in routine zdfkpp, not in routine zdfddm ' |
---|
1566 | ENDIF |
---|
1567 | ENDIF |
---|
1568 | |
---|
1569 | |
---|
1570 | !set constants not in namelist |
---|
1571 | !----------------------------- |
---|
1572 | Vtc = rconcv * SQRT( 0.2 / ( rconcs * epsilon ) ) / ( vonk * vonk * Ricr ) |
---|
1573 | rcg = rcstar * vonk * ( rconcs * vonk * epsilon )**pthird |
---|
1574 | |
---|
1575 | IF(lwp) THEN |
---|
1576 | WRITE(numout,*) |
---|
1577 | WRITE(numout,*) ' Constant value for unreso. turbul. velocity shear Vtc = ', Vtc |
---|
1578 | WRITE(numout,*) ' Non-dimensional coef. for nonlocal transport rcg = ', rcg |
---|
1579 | ENDIF |
---|
1580 | |
---|
1581 | ! ratt is the attenuation coefficient for solar flux |
---|
1582 | ! Should be different is s_coordinate |
---|
1583 | DO jk = 1, jpk |
---|
1584 | zhbf = - fsdept(1,1,jk) * hbf |
---|
1585 | ratt(jk) = 1.0 - ( rabs * EXP( zhbf / xsi1 ) + ( 1.0 - rabs ) * EXP( zhbf / xsi2 ) ) |
---|
1586 | ENDDO |
---|
1587 | |
---|
1588 | ! Horizontal average : initialization of weighting arrays |
---|
1589 | ! ------------------- |
---|
1590 | |
---|
1591 | SELECT CASE ( nn_ave ) |
---|
1592 | |
---|
1593 | CASE ( 0 ) ! no horizontal average |
---|
1594 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt, avmu, avmv' |
---|
1595 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
1596 | ! weighting mean arrays etmean, eumean and evmean |
---|
1597 | ! ( 1 1 ) ( 1 ) |
---|
1598 | ! avt = 1/4 ( 1 1 ) avmu = 1/2 ( 1 1 ) avmv= 1/2 ( 1 ) |
---|
1599 | ! |
---|
1600 | etmean(:,:,:) = 0.e0 |
---|
1601 | eumean(:,:,:) = 0.e0 |
---|
1602 | evmean(:,:,:) = 0.e0 |
---|
1603 | |
---|
1604 | #if defined key_z_first |
---|
1605 | DO jj = 2, jpjm1 |
---|
1606 | DO ji = 2, jpim1 |
---|
1607 | DO jk = 1, jpkm1 |
---|
1608 | #else |
---|
1609 | DO jk = 1, jpkm1 |
---|
1610 | DO jj = 2, jpjm1 |
---|
1611 | DO ji = 2, jpim1 |
---|
1612 | #endif |
---|
1613 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
---|
1614 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
---|
1615 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
1616 | |
---|
1617 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
---|
1618 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji+1,jj ,jk) ) |
---|
1619 | |
---|
1620 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
---|
1621 | & / MAX( 1., tmask(ji,jj,jk) + tmask(ji ,jj+1,jk) ) |
---|
1622 | END DO |
---|
1623 | END DO |
---|
1624 | END DO |
---|
1625 | |
---|
1626 | CASE ( 1 ) ! horizontal average |
---|
1627 | IF(lwp) WRITE(numout,*) ' horizontal average on avt, avmu, avmv' |
---|
1628 | ! weighting mean arrays etmean, eumean and evmean |
---|
1629 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) ( 1/2 1 1/2 ) |
---|
1630 | ! avt = 1/8 ( 1 2 1 ) avmu = 1/4 ( 1 1 ) avmv= 1/4 ( 1/2 1 1/2 ) |
---|
1631 | ! ( 1/2 1 1/2 ) ( 1/2 1/2 ) |
---|
1632 | etmean(:,:,:) = 0.e0 |
---|
1633 | eumean(:,:,:) = 0.e0 |
---|
1634 | evmean(:,:,:) = 0.e0 |
---|
1635 | |
---|
1636 | #if defined key_z_first |
---|
1637 | DO jj = 2, jpjm1 |
---|
1638 | DO ji = 2, jpim1 |
---|
1639 | DO jk = 1, jpkm1 |
---|
1640 | #else |
---|
1641 | DO jk = 1, jpkm1 |
---|
1642 | DO jj = 2, jpjm1 |
---|
1643 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
1644 | #endif |
---|
1645 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
---|
1646 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
---|
1647 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
---|
1648 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
---|
1649 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
---|
1650 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
---|
1651 | |
---|
1652 | eumean(ji,jj,jk) = umask(ji,jj,jk) & |
---|
1653 | & / MAX( 1., tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) & |
---|
1654 | & +.5 * ( tmask(ji,jj-1,jk) + tmask(ji+1,jj-1,jk) & |
---|
1655 | & +tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
1656 | |
---|
1657 | evmean(ji,jj,jk) = vmask(ji,jj,jk) & |
---|
1658 | & / MAX( 1., tmask(ji ,jj,jk) + tmask(ji ,jj+1,jk) & |
---|
1659 | & +.5 * ( tmask(ji-1,jj,jk) + tmask(ji-1,jj+1,jk) & |
---|
1660 | & +tmask(ji+1,jj,jk) + tmask(ji+1,jj+1,jk) ) ) |
---|
1661 | END DO |
---|
1662 | END DO |
---|
1663 | END DO |
---|
1664 | |
---|
1665 | CASE DEFAULT |
---|
1666 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
1667 | CALL ctl_stop( ctmp1 ) |
---|
1668 | |
---|
1669 | END SELECT |
---|
1670 | |
---|
1671 | ! Initialization of vertical eddy coef. to the background value |
---|
1672 | ! ------------------------------------------------------------- |
---|
1673 | #if defined key_z_first |
---|
1674 | DO jj = 1, jpj |
---|
1675 | DO ji = 1, jpi |
---|
1676 | avt (ji,jj,:) = avtb(:) * tmask(ji,jj,:) |
---|
1677 | avmu(ji,jj,:) = avmb(:) * umask(ji,jj,:) |
---|
1678 | avmv(ji,jj,:) = avmb(:) * vmask(ji,jj,:) |
---|
1679 | END DO |
---|
1680 | END DO |
---|
1681 | #else |
---|
1682 | DO jk = 1, jpk |
---|
1683 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
1684 | avmu(:,:,jk) = avmb(jk) * umask(:,:,jk) |
---|
1685 | avmv(:,:,jk) = avmb(jk) * vmask(:,:,jk) |
---|
1686 | END DO |
---|
1687 | #endif |
---|
1688 | |
---|
1689 | ! zero the surface flux for non local term and kpp mixed layer depth |
---|
1690 | ! ------------------------------------------------------------------ |
---|
1691 | ghats(:,:,:) = 0. |
---|
1692 | wt0 (:,: ) = 0. |
---|
1693 | ws0 (:,: ) = 0. |
---|
1694 | hkpp (:,: ) = 0. ! just a diagnostic (not essential) |
---|
1695 | |
---|
1696 | #if ! defined key_kppcustom |
---|
1697 | ! compute arrays (del, wz) for reference mean values |
---|
1698 | ! (increase speed for vectorization key_kppcustom not defined) |
---|
1699 | del(1:jpk, 1:jpk) = 0. |
---|
1700 | DO jk = 1, jpk |
---|
1701 | zref = epsilon * fsdept(1,1,jk) |
---|
1702 | DO jm = 1 , jpk |
---|
1703 | zdist = zref - fsdepw(1,1,jm) |
---|
1704 | IF( zdist > 0. ) THEN |
---|
1705 | del(jk,jm) = MIN( zdist, fse3t(1,1,jm) ) / zref |
---|
1706 | ELSE |
---|
1707 | del(jk,jm) = 0. |
---|
1708 | ENDIF |
---|
1709 | ENDDO |
---|
1710 | ENDDO |
---|
1711 | #endif |
---|
1712 | |
---|
1713 | #if defined key_kpplktb |
---|
1714 | ! build lookup table for turbulent velocity scales |
---|
1715 | dezehat = ( dehatmax - dehatmin ) / nilktbm1 |
---|
1716 | deustar = ( ustmax - ustmin ) / njlktbm1 |
---|
1717 | |
---|
1718 | DO jj = 1, njlktb |
---|
1719 | zustar = ( jj - 1) * deustar + ustmin |
---|
1720 | zustvk = vonk * zustar |
---|
1721 | zucube = zustar * zustar * zustar |
---|
1722 | DO ji = 1 , nilktb |
---|
1723 | zehat = ( ji - 1 ) * dezehat + dehatmin |
---|
1724 | zeta = zehat / ( zucube + epsln ) |
---|
1725 | IF( zehat >= 0 ) THEN ! Stable case |
---|
1726 | wmlktb(ji,jj) = zustvk / ABS( 1.0 + rconc1 * zeta + epsln ) |
---|
1727 | wslktb(ji,jj) = wmlktb(ji,jj) |
---|
1728 | ELSE ! Unstable case |
---|
1729 | IF( zeta > rzetam ) THEN |
---|
1730 | wmlktb(ji,jj) = zustvk * ABS( 1.0 - rconc2 * zeta )**pfourth |
---|
1731 | ELSE |
---|
1732 | wmlktb(ji,jj) = zustvk * ABS( rconam - rconcm * zeta )**pthird |
---|
1733 | ENDIF |
---|
1734 | |
---|
1735 | IF( zeta > rzetas ) THEN |
---|
1736 | wslktb(ji,jj) = zustvk * SQRT( ABS( 1.0 - rconc2 * zeta ) ) |
---|
1737 | ELSE |
---|
1738 | wslktb(ji,jj) = zustvk * ABS( rconas - rconcs * zeta )**pthird |
---|
1739 | ENDIF |
---|
1740 | ENDIF |
---|
1741 | END DO |
---|
1742 | END DO |
---|
1743 | #endif |
---|
1744 | ! |
---|
1745 | END SUBROUTINE zdf_kpp_init |
---|
1746 | |
---|
1747 | #else |
---|
1748 | !!---------------------------------------------------------------------- |
---|
1749 | !! Dummy module : NO KPP scheme |
---|
1750 | !!---------------------------------------------------------------------- |
---|
1751 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfkpp = .FALSE. !: KPP flag |
---|
1752 | CONTAINS |
---|
1753 | SUBROUTINE zdf_kpp_init ! Dummy routine |
---|
1754 | WRITE(*,*) 'zdf_kpp_init: You should not have seen this print! error?' |
---|
1755 | END SUBROUTINE zdf_kpp_init |
---|
1756 | SUBROUTINE zdf_kpp( kt ) ! Dummy routine |
---|
1757 | WRITE(*,*) 'zdf_kpp: You should not have seen this print! error?', kt |
---|
1758 | END SUBROUTINE zdf_kpp |
---|
1759 | SUBROUTINE tra_kpp( kt ) ! Dummy routine |
---|
1760 | WRITE(*,*) 'tra_kpp: You should not have seen this print! error?', kt |
---|
1761 | END SUBROUTINE tra_kpp |
---|
1762 | SUBROUTINE trc_kpp( kt ) ! Dummy routine |
---|
1763 | WRITE(*,*) 'trc_kpp: You should not have seen this print! error?', kt |
---|
1764 | END SUBROUTINE trc_kpp |
---|
1765 | #endif |
---|
1766 | |
---|
1767 | !!====================================================================== |
---|
1768 | END MODULE zdfkpp |
---|