1 | MODULE zdfgls |
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2 | !!====================================================================== |
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3 | !! *** MODULE zdfgls *** |
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4 | !! Ocean physics: vertical mixing coefficient computed from the gls |
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5 | !! turbulent closure parameterization |
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6 | !!====================================================================== |
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7 | !! History : 3.0 ! 2009-09 (G. Reffray) Original code |
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8 | !! 3.3 ! 2010-10 (C. Bricaud) Add in the reference |
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9 | !! 4.0 ! 2017-04 (G. Madec) remove CPP keys & avm at t-point only |
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10 | !! - ! 2017-05 (G. Madec) add top friction as boundary condition |
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11 | !!---------------------------------------------------------------------- |
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12 | |
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13 | !!---------------------------------------------------------------------- |
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14 | !! zdf_gls : update momentum and tracer Kz from a gls scheme |
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15 | !! zdf_gls_init : initialization, namelist read, and parameters control |
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16 | !! gls_rst : read/write gls restart in ocean restart file |
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17 | !!---------------------------------------------------------------------- |
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18 | USE oce ! ocean dynamics and active tracers |
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19 | USE dom_oce ! ocean space and time domain |
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20 | USE domvvl ! ocean space and time domain : variable volume layer |
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21 | USE zdfdrg , ONLY : ln_drg_OFF ! top/bottom free-slip flag |
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22 | USE zdfdrg , ONLY : r_z0_top , r_z0_bot ! top/bottom roughness |
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23 | USE zdfdrg , ONLY : rCdU_top , rCdU_bot ! top/bottom friction |
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24 | USE sbc_oce ! surface boundary condition: ocean |
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25 | USE phycst ! physical constants |
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26 | USE zdfmxl ! mixed layer |
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27 | USE sbcwave , ONLY : hsw ! significant wave height |
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28 | ! |
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29 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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30 | USE lib_mpp ! MPP manager |
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31 | USE prtctl ! Print control |
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32 | USE in_out_manager ! I/O manager |
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33 | USE iom ! I/O manager library |
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34 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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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_gls ! called in zdfphy |
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40 | PUBLIC zdf_gls_init ! called in zdfphy |
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41 | PUBLIC gls_rst ! called in zdfphy |
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42 | |
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43 | ! |
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44 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: hmxl_n !: now mixing length |
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45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: zwall !: wall function |
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46 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_surf !: Squared surface velocity scale at T-points |
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47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_top !: Squared top velocity scale at T-points |
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48 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ustar2_bot !: Squared bottom velocity scale at T-points |
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49 | |
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50 | ! !! ** Namelist namzdf_gls ** |
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51 | LOGICAL :: ln_length_lim ! use limit on the dissipation rate under stable stratification (Galperin et al. 1988) |
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52 | LOGICAL :: ln_sigpsi ! Activate Burchard (2003) modification for k-eps closure & wave breaking mixing |
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53 | INTEGER :: nn_bc_surf ! surface boundary condition (=0/1) |
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54 | INTEGER :: nn_bc_bot ! bottom boundary condition (=0/1) |
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55 | INTEGER :: nn_z0_met ! Method for surface roughness computation |
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56 | INTEGER :: nn_stab_func ! stability functions G88, KC or Canuto (=0/1/2) |
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57 | INTEGER :: nn_clos ! closure 0/1/2/3 MY82/k-eps/k-w/gen |
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58 | REAL(wp) :: rn_clim_galp ! Holt 2008 value for k-eps: 0.267 |
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59 | REAL(wp) :: rn_epsmin ! minimum value of dissipation (m2/s3) |
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60 | REAL(wp) :: rn_emin ! minimum value of TKE (m2/s2) |
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61 | REAL(wp) :: rn_charn ! Charnock constant for surface breaking waves mixing : 1400. (standard) or 2.e5 (Stacey value) |
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62 | REAL(wp) :: rn_crban ! Craig and Banner constant for surface breaking waves mixing |
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63 | REAL(wp) :: rn_hsro ! Minimum surface roughness |
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64 | REAL(wp) :: rn_frac_hs ! Fraction of wave height as surface roughness (if nn_z0_met > 1) |
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65 | |
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66 | REAL(wp) :: rcm_sf = 0.73_wp ! Shear free turbulence parameters |
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67 | REAL(wp) :: ra_sf = -2.0_wp ! Must be negative -2 < ra_sf < -1 |
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68 | REAL(wp) :: rl_sf = 0.2_wp ! 0 <rl_sf<vkarmn |
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69 | REAL(wp) :: rghmin = -0.28_wp |
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70 | REAL(wp) :: rgh0 = 0.0329_wp |
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71 | REAL(wp) :: rghcri = 0.03_wp |
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72 | REAL(wp) :: ra1 = 0.92_wp |
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73 | REAL(wp) :: ra2 = 0.74_wp |
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74 | REAL(wp) :: rb1 = 16.60_wp |
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75 | REAL(wp) :: rb2 = 10.10_wp |
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76 | REAL(wp) :: re2 = 1.33_wp |
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77 | REAL(wp) :: rl1 = 0.107_wp |
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78 | REAL(wp) :: rl2 = 0.0032_wp |
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79 | REAL(wp) :: rl3 = 0.0864_wp |
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80 | REAL(wp) :: rl4 = 0.12_wp |
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81 | REAL(wp) :: rl5 = 11.9_wp |
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82 | REAL(wp) :: rl6 = 0.4_wp |
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83 | REAL(wp) :: rl7 = 0.0_wp |
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84 | REAL(wp) :: rl8 = 0.48_wp |
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85 | REAL(wp) :: rm1 = 0.127_wp |
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86 | REAL(wp) :: rm2 = 0.00336_wp |
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87 | REAL(wp) :: rm3 = 0.0906_wp |
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88 | REAL(wp) :: rm4 = 0.101_wp |
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89 | REAL(wp) :: rm5 = 11.2_wp |
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90 | REAL(wp) :: rm6 = 0.4_wp |
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91 | REAL(wp) :: rm7 = 0.0_wp |
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92 | REAL(wp) :: rm8 = 0.318_wp |
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93 | REAL(wp) :: rtrans = 0.1_wp |
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94 | REAL(wp) :: rc02, rc02r, rc03, rc04 ! coefficients deduced from above parameters |
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95 | REAL(wp) :: rsbc_tke1, rsbc_tke2, rfact_tke ! - - - - |
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96 | REAL(wp) :: rsbc_psi1, rsbc_psi2, rfact_psi ! - - - - |
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97 | REAL(wp) :: rsbc_zs1, rsbc_zs2 ! - - - - |
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98 | REAL(wp) :: rc0, rc2, rc3, rf6, rcff, rc_diff ! - - - - |
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99 | REAL(wp) :: rs0, rs1, rs2, rs4, rs5, rs6 ! - - - - |
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100 | REAL(wp) :: rd0, rd1, rd2, rd3, rd4, rd5 ! - - - - |
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101 | REAL(wp) :: rsc_tke, rsc_psi, rpsi1, rpsi2, rpsi3, rsc_psi0 ! - - - - |
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102 | REAL(wp) :: rpsi3m, rpsi3p, rpp, rmm, rnn ! - - - - |
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103 | ! |
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104 | REAL(wp) :: r2_3 = 2._wp/3._wp ! constant=2/3 |
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105 | |
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106 | !! * Substitutions |
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107 | # include "do_loop_substitute.h90" |
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108 | # include "domzgr_substitute.h90" |
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109 | !!---------------------------------------------------------------------- |
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110 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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111 | !! $Id$ |
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112 | !! Software governed by the CeCILL license (see ./LICENSE) |
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113 | !!---------------------------------------------------------------------- |
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114 | CONTAINS |
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115 | |
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116 | INTEGER FUNCTION zdf_gls_alloc() |
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117 | !!---------------------------------------------------------------------- |
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118 | !! *** FUNCTION zdf_gls_alloc *** |
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119 | !!---------------------------------------------------------------------- |
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120 | ALLOCATE( hmxl_n(jpi,jpj,jpk) , ustar2_surf(jpi,jpj) , & |
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121 | & zwall (jpi,jpj,jpk) , ustar2_top (jpi,jpj) , ustar2_bot(jpi,jpj) , STAT= zdf_gls_alloc ) |
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122 | ! |
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123 | CALL mpp_sum ( 'zdfgls', zdf_gls_alloc ) |
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124 | IF( zdf_gls_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_alloc: failed to allocate arrays' ) |
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125 | END FUNCTION zdf_gls_alloc |
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126 | |
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127 | |
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128 | SUBROUTINE zdf_gls( kt, Kbb, Kmm, p_sh2, p_avm, p_avt ) |
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129 | !!---------------------------------------------------------------------- |
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130 | !! *** ROUTINE zdf_gls *** |
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131 | !! |
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132 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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133 | !! coefficients using the GLS turbulent closure scheme. |
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134 | !!---------------------------------------------------------------------- |
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135 | USE zdf_oce , ONLY : en, avtb, avmb ! ocean vertical physics |
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136 | !! |
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137 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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138 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
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139 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term |
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140 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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141 | ! |
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142 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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143 | INTEGER :: ibot, ibotm1 ! local integers |
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144 | INTEGER :: itop, itopp1 ! - - |
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145 | REAL(wp) :: zesh2, zsigpsi, zcoef, zex1 , zex2 ! local scalars |
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146 | REAL(wp) :: ztx2, zty2, zup, zdown, zcof, zdir ! - - |
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147 | REAL(wp) :: zratio, zrn2, zflxb, sh , z_en ! - - |
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148 | REAL(wp) :: prod, buoy, diss, zdiss, sm ! - - |
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149 | REAL(wp) :: gh, gm, shr, dif, zsqen, zavt, zavm ! - - |
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150 | REAL(wp) :: zmsku, zmskv ! - - |
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151 | REAL(wp), DIMENSION(jpi,jpj) :: zdep |
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152 | REAL(wp), DIMENSION(jpi,jpj) :: zkar |
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153 | REAL(wp), DIMENSION(jpi,jpj) :: zflxs ! Turbulence fluxed induced by internal waves |
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154 | REAL(wp), DIMENSION(jpi,jpj) :: zhsro ! Surface roughness (surface waves) |
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155 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eb ! tke at time before |
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156 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: hmxl_b ! mixing length at time before |
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157 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: eps ! dissipation rate |
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158 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwall_psi ! Wall function use in the wb case (ln_sigpsi) |
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159 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: psi ! psi at time now |
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160 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zd_lw, zd_up, zdiag ! lower, upper and diagonal of the matrix |
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161 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zstt, zstm ! stability function on tracer and momentum |
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162 | !!-------------------------------------------------------------------- |
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163 | ! |
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164 | ! Preliminary computing |
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165 | |
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166 | ustar2_surf(:,:) = 0._wp ; psi(:,:,:) = 0._wp |
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167 | ustar2_top (:,:) = 0._wp ; zwall_psi(:,:,:) = 0._wp |
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168 | ustar2_bot (:,:) = 0._wp |
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169 | |
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170 | ! Compute surface, top and bottom friction at T-points |
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171 | DO_2D( 0, 0, 0, 0 ) |
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172 | ustar2_surf(ji,jj) = r1_rho0 * taum(ji,jj) * tmask(ji,jj,1) ! surface friction |
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173 | END_2D |
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174 | ! |
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175 | !!gm Rq we may add here r_ke0(_top/_bot) ? ==>> think about that... |
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176 | ! |
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177 | IF( .NOT.ln_drg_OFF ) THEN !== top/bottom friction (explicit before friction) |
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178 | DO_2D( 0, 0, 0, 0 ) ! bottom friction (explicit before friction) |
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179 | zmsku = ( 2._wp - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
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180 | zmskv = ( 2._wp - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) ! (CAUTION: CdU<0) |
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181 | ustar2_bot(ji,jj) = - rCdU_bot(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
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182 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) |
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183 | END_2D |
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184 | IF( ln_isfcav ) THEN |
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185 | DO_2D( 0, 0, 0, 0 ) ! top friction |
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186 | zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) ) |
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187 | zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) ) ! (CAUTION: CdU<0) |
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188 | ustar2_top(ji,jj) = - rCdU_top(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mikt(ji,jj),Kbb)+uu(ji-1,jj,mikt(ji,jj),Kbb) ) )**2 & |
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189 | & + ( zmskv*( vv(ji,jj,mikt(ji,jj),Kbb)+vv(ji,jj-1,mikt(ji,jj),Kbb) ) )**2 ) |
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190 | END_2D |
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191 | ENDIF |
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192 | ENDIF |
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193 | |
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194 | SELECT CASE ( nn_z0_met ) !== Set surface roughness length ==! |
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195 | CASE ( 0 ) ! Constant roughness |
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196 | zhsro(:,:) = rn_hsro |
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197 | CASE ( 1 ) ! Standard Charnock formula |
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198 | zhsro(:,:) = MAX( rsbc_zs1 * ustar2_surf(:,:) , rn_hsro ) |
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199 | CASE ( 2 ) ! Roughness formulae according to Rascle et al., Ocean Modelling (2008) |
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200 | !!gm faster coding : the 2 comment lines should be used |
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201 | !!gm zcof = 2._wp * 0.6_wp / 28._wp |
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202 | !!gm zdep(:,:) = 30._wp * TANH( zcof/ SQRT( MAX(ustar2_surf(:,:),rsmall) ) ) ! Wave age (eq. 10) |
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203 | zdep (:,:) = 30.*TANH( 2.*0.3/(28.*SQRT(MAX(ustar2_surf(:,:),rsmall))) ) ! Wave age (eq. 10) |
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204 | zhsro(:,:) = MAX(rsbc_zs2 * ustar2_surf(:,:) * zdep(:,:)**1.5, rn_hsro) ! zhsro = rn_frac_hs * Hsw (eq. 11) |
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205 | CASE ( 3 ) ! Roughness given by the wave model (coupled or read in file) |
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206 | zhsro(:,:) = MAX(rn_frac_hs * hsw(:,:), rn_hsro) ! (rn_frac_hs=1.6 see Eq. (5) of Rascle et al. 2008 ) |
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207 | END SELECT |
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208 | ! |
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209 | DO_3D( 1, 0, 1, 0, 2, jpkm1 ) |
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210 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / hmxl_n(ji,jj,jk) |
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211 | END_3D |
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212 | |
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213 | ! Save tke at before time step |
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214 | eb (:,:,:) = en (:,:,:) |
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215 | hmxl_b(:,:,:) = hmxl_n(:,:,:) |
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216 | |
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217 | IF( nn_clos == 0 ) THEN ! Mellor-Yamada |
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218 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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219 | zup = hmxl_n(ji,jj,jk) * gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) |
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220 | zdown = vkarmn * gdepw(ji,jj,jk,Kmm) * ( -gdepw(ji,jj,jk,Kmm) + gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) ) |
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221 | zcoef = ( zup / MAX( zdown, rsmall ) ) |
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222 | zwall (ji,jj,jk) = ( 1._wp + re2 * zcoef*zcoef ) * tmask(ji,jj,jk) |
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223 | END_3D |
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224 | ENDIF |
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225 | |
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226 | !!---------------------------------!! |
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227 | !! Equation to prognostic k !! |
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228 | !!---------------------------------!! |
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229 | ! |
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230 | ! Now Turbulent kinetic energy (output in en) |
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231 | ! ------------------------------- |
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232 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
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233 | ! computation from level 2 to jpkm1 (e(1) computed after and e(jpk)=0 ). |
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234 | ! The surface boundary condition are set after |
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235 | ! The bottom boundary condition are also set after. In standard e(bottom)=0. |
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236 | ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
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237 | ! Warning : after this step, en : right hand side of the matrix |
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238 | |
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239 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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240 | ! |
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241 | buoy = - p_avt(ji,jj,jk) * rn2(ji,jj,jk) ! stratif. destruction |
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242 | ! |
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243 | diss = eps(ji,jj,jk) ! dissipation |
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244 | ! |
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245 | zdir = 0.5_wp + SIGN( 0.5_wp, p_sh2(ji,jj,jk) + buoy ) ! zdir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
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246 | ! |
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247 | zesh2 = zdir*(p_sh2(ji,jj,jk)+buoy)+(1._wp-zdir)*p_sh2(ji,jj,jk) ! production term |
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248 | zdiss = zdir*(diss/en(ji,jj,jk)) +(1._wp-zdir)*(diss-buoy)/en(ji,jj,jk) ! dissipation term |
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249 | !!gm better coding, identical results |
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250 | ! zesh2 = p_sh2(ji,jj,jk) + zdir*buoy ! production term |
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251 | ! zdiss = ( diss - (1._wp-zdir)*buoy ) / en(ji,jj,jk) ! dissipation term |
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252 | !!gm |
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253 | ! |
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254 | ! Compute a wall function from 1. to rsc_psi*zwall/rsc_psi0 |
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255 | ! Note that as long that Dirichlet boundary conditions are NOT set at the first and last levels (GOTM style) |
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256 | ! there is no need to set a boundary condition for zwall_psi at the top and bottom boundaries. |
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257 | ! Otherwise, this should be rsc_psi/rsc_psi0 |
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258 | IF( ln_sigpsi ) THEN |
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259 | zsigpsi = MIN( 1._wp, zesh2 / eps(ji,jj,jk) ) ! 0. <= zsigpsi <= 1. |
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260 | zwall_psi(ji,jj,jk) = rsc_psi / & |
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261 | & ( zsigpsi * rsc_psi + (1._wp-zsigpsi) * rsc_psi0 / MAX( zwall(ji,jj,jk), 1._wp ) ) |
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262 | ELSE |
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263 | zwall_psi(ji,jj,jk) = 1._wp |
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264 | ENDIF |
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265 | ! |
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266 | ! building the matrix |
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267 | zcof = rfact_tke * tmask(ji,jj,jk) |
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268 | ! ! lower diagonal, in fact not used for jk = 2 (see surface conditions) |
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269 | zd_lw(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) ) & |
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270 | & / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk,Kmm) ) |
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271 | ! ! upper diagonal, in fact not used for jk = ibotm1 (see bottom conditions) |
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272 | zd_up(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) ) & |
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273 | & / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk,Kmm) ) |
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274 | ! ! diagonal |
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275 | zdiag(ji,jj,jk) = 1._wp - zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) + rn_Dt * zdiss * wmask(ji,jj,jk) |
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276 | ! ! right hand side in en |
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277 | en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * zesh2 * wmask(ji,jj,jk) |
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278 | END_3D |
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279 | ! |
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280 | zdiag(:,:,jpk) = 1._wp |
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281 | ! |
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282 | ! Set surface condition on zwall_psi (1 at the bottom) |
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283 | zwall_psi(:,:, 1 ) = zwall_psi(:,:,2) |
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284 | zwall_psi(:,:,jpk) = 1._wp |
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285 | ! |
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286 | ! Surface boundary condition on tke |
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287 | ! --------------------------------- |
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288 | ! |
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289 | SELECT CASE ( nn_bc_surf ) |
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290 | ! |
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291 | CASE ( 0 ) ! Dirichlet boundary condition (set e at k=1 & 2) |
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292 | ! First level |
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293 | en (:,:,1) = MAX( rn_emin , rc02r * ustar2_surf(:,:) * (1._wp + rsbc_tke1)**r2_3 ) |
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294 | zd_lw(:,:,1) = en(:,:,1) |
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295 | zd_up(:,:,1) = 0._wp |
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296 | zdiag(:,:,1) = 1._wp |
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297 | ! |
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298 | ! One level below |
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299 | en (:,:,2) = MAX( rc02r * ustar2_surf(:,:) * ( 1._wp + rsbc_tke1 * ((zhsro(:,:)+gdepw(:,:,2,Kmm)) & |
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300 | & / zhsro(:,:) )**(1.5_wp*ra_sf) )**(2._wp/3._wp) , rn_emin ) |
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301 | zd_lw(:,:,2) = 0._wp |
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302 | zd_up(:,:,2) = 0._wp |
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303 | zdiag(:,:,2) = 1._wp |
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304 | ! |
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305 | ! |
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306 | CASE ( 1 ) ! Neumann boundary condition (set d(e)/dz) |
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307 | ! |
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308 | ! Dirichlet conditions at k=1 |
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309 | en (:,:,1) = MAX( rc02r * ustar2_surf(:,:) * (1._wp + rsbc_tke1)**r2_3 , rn_emin ) |
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310 | zd_lw(:,:,1) = en(:,:,1) |
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311 | zd_up(:,:,1) = 0._wp |
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312 | zdiag(:,:,1) = 1._wp |
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313 | ! |
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314 | ! at k=2, set de/dz=Fw |
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315 | !cbr |
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316 | zdiag(:,:,2) = zdiag(:,:,2) + zd_lw(:,:,2) ! Remove zd_lw from zdiag |
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317 | zd_lw(:,:,2) = 0._wp |
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318 | zkar (:,:) = (rl_sf + (vkarmn-rl_sf)*(1.-EXP(-rtrans*gdept(:,:,1,Kmm)/zhsro(:,:)) )) |
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319 | zflxs(:,:) = rsbc_tke2 * ustar2_surf(:,:)**1.5_wp * zkar(:,:) & |
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320 | & * ( ( zhsro(:,:)+gdept(:,:,1,Kmm) ) / zhsro(:,:) )**(1.5_wp*ra_sf) |
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321 | !!gm why not : * ( 1._wp + gdept(:,:,1,Kmm) / zhsro(:,:) )**(1.5_wp*ra_sf) |
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322 | en(:,:,2) = en(:,:,2) + zflxs(:,:) / e3w(:,:,2,Kmm) |
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323 | ! |
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324 | ! |
---|
325 | END SELECT |
---|
326 | |
---|
327 | ! Bottom boundary condition on tke |
---|
328 | ! -------------------------------- |
---|
329 | ! |
---|
330 | SELECT CASE ( nn_bc_bot ) |
---|
331 | ! |
---|
332 | CASE ( 0 ) ! Dirichlet |
---|
333 | ! ! en(ibot) = u*^2 / Co2 and hmxl_n(ibot) = rn_lmin |
---|
334 | ! ! Balance between the production and the dissipation terms |
---|
335 | DO_2D( 0, 0, 0, 0 ) |
---|
336 | !!gm This means that bottom and ocean w-level above have a specified "en" value. Sure ???? |
---|
337 | !! With thick deep ocean level thickness, this may be quite large, no ??? |
---|
338 | !! in particular in ocean cavities where top stratification can be large... |
---|
339 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
340 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
341 | ! |
---|
342 | z_en = MAX( rc02r * ustar2_bot(ji,jj), rn_emin ) |
---|
343 | ! |
---|
344 | ! Dirichlet condition applied at: |
---|
345 | ! Bottom level (ibot) & Just above it (ibotm1) |
---|
346 | zd_lw(ji,jj,ibot) = 0._wp ; zd_lw(ji,jj,ibotm1) = 0._wp |
---|
347 | zd_up(ji,jj,ibot) = 0._wp ; zd_up(ji,jj,ibotm1) = 0._wp |
---|
348 | zdiag(ji,jj,ibot) = 1._wp ; zdiag(ji,jj,ibotm1) = 1._wp |
---|
349 | en (ji,jj,ibot) = z_en ; en (ji,jj,ibotm1) = z_en |
---|
350 | END_2D |
---|
351 | ! |
---|
352 | IF( ln_isfcav) THEN ! top boundary (ocean cavity) |
---|
353 | DO_2D( 0, 0, 0, 0 ) |
---|
354 | itop = mikt(ji,jj) ! k top w-point |
---|
355 | itopp1 = mikt(ji,jj) + 1 ! k+1 1st w-point below the top one |
---|
356 | ! ! mask at the ocean surface points |
---|
357 | z_en = MAX( rc02r * ustar2_top(ji,jj), rn_emin ) * ( 1._wp - tmask(ji,jj,1) ) |
---|
358 | ! |
---|
359 | !!gm TO BE VERIFIED !!! |
---|
360 | ! Dirichlet condition applied at: |
---|
361 | ! top level (itop) & Just below it (itopp1) |
---|
362 | zd_lw(ji,jj,itop) = 0._wp ; zd_lw(ji,jj,itopp1) = 0._wp |
---|
363 | zd_up(ji,jj,itop) = 0._wp ; zd_up(ji,jj,itopp1) = 0._wp |
---|
364 | zdiag(ji,jj,itop) = 1._wp ; zdiag(ji,jj,itopp1) = 1._wp |
---|
365 | en (ji,jj,itop) = z_en ; en (ji,jj,itopp1) = z_en |
---|
366 | END_2D |
---|
367 | ENDIF |
---|
368 | ! |
---|
369 | CASE ( 1 ) ! Neumman boundary condition |
---|
370 | ! |
---|
371 | DO_2D( 0, 0, 0, 0 ) |
---|
372 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
373 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
374 | ! |
---|
375 | z_en = MAX( rc02r * ustar2_bot(ji,jj), rn_emin ) |
---|
376 | ! |
---|
377 | ! Bottom level Dirichlet condition: |
---|
378 | ! Bottom level (ibot) & Just above it (ibotm1) |
---|
379 | ! Dirichlet ! Neumann |
---|
380 | zd_lw(ji,jj,ibot) = 0._wp ! ! Remove zd_up from zdiag |
---|
381 | zdiag(ji,jj,ibot) = 1._wp ; zdiag(ji,jj,ibotm1) = zdiag(ji,jj,ibotm1) + zd_up(ji,jj,ibotm1) |
---|
382 | zd_up(ji,jj,ibot) = 0._wp ; zd_up(ji,jj,ibotm1) = 0._wp |
---|
383 | END_2D |
---|
384 | IF( ln_isfcav) THEN ! top boundary (ocean cavity) |
---|
385 | DO_2D( 0, 0, 0, 0 ) |
---|
386 | itop = mikt(ji,jj) ! k top w-point |
---|
387 | itopp1 = mikt(ji,jj) + 1 ! k+1 1st w-point below the top one |
---|
388 | ! ! mask at the ocean surface points |
---|
389 | z_en = MAX( rc02r * ustar2_top(ji,jj), rn_emin ) * ( 1._wp - tmask(ji,jj,1) ) |
---|
390 | ! |
---|
391 | ! Bottom level Dirichlet condition: |
---|
392 | ! Bottom level (ibot) & Just above it (ibotm1) |
---|
393 | ! Dirichlet ! Neumann |
---|
394 | zd_lw(ji,jj,itop) = 0._wp ! ! Remove zd_up from zdiag |
---|
395 | zdiag(ji,jj,itop) = 1._wp ; zdiag(ji,jj,itopp1) = zdiag(ji,jj,itopp1) + zd_up(ji,jj,itopp1) |
---|
396 | zd_up(ji,jj,itop) = 0._wp ; zd_up(ji,jj,itopp1) = 0._wp |
---|
397 | END_2D |
---|
398 | ENDIF |
---|
399 | ! |
---|
400 | END SELECT |
---|
401 | |
---|
402 | ! Matrix inversion (en prescribed at surface and the bottom) |
---|
403 | ! ---------------------------------------------------------- |
---|
404 | ! |
---|
405 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
406 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
---|
407 | END_3D |
---|
408 | DO_3D( 0, 0, 0, 0, 2, jpk ) |
---|
409 | zd_lw(ji,jj,jk) = en(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) * zd_lw(ji,jj,jk-1) |
---|
410 | END_3D |
---|
411 | DO_3DS( 0, 0, 0, 0, jpk-1, 2, -1 ) |
---|
412 | en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
---|
413 | END_3D |
---|
414 | ! ! set the minimum value of tke |
---|
415 | en(:,:,:) = MAX( en(:,:,:), rn_emin ) |
---|
416 | |
---|
417 | !!----------------------------------------!! |
---|
418 | !! Solve prognostic equation for psi !! |
---|
419 | !!----------------------------------------!! |
---|
420 | |
---|
421 | ! Set psi to previous time step value |
---|
422 | ! |
---|
423 | SELECT CASE ( nn_clos ) |
---|
424 | ! |
---|
425 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
426 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
427 | psi(ji,jj,jk) = eb(ji,jj,jk) * hmxl_b(ji,jj,jk) |
---|
428 | END_3D |
---|
429 | ! |
---|
430 | CASE( 1 ) ! k-eps |
---|
431 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
432 | psi(ji,jj,jk) = eps(ji,jj,jk) |
---|
433 | END_3D |
---|
434 | ! |
---|
435 | CASE( 2 ) ! k-w |
---|
436 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
437 | psi(ji,jj,jk) = SQRT( eb(ji,jj,jk) ) / ( rc0 * hmxl_b(ji,jj,jk) ) |
---|
438 | END_3D |
---|
439 | ! |
---|
440 | CASE( 3 ) ! generic |
---|
441 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
442 | psi(ji,jj,jk) = rc02 * eb(ji,jj,jk) * hmxl_b(ji,jj,jk)**rnn |
---|
443 | END_3D |
---|
444 | ! |
---|
445 | END SELECT |
---|
446 | ! |
---|
447 | ! Now gls (output in psi) |
---|
448 | ! ------------------------------- |
---|
449 | ! Resolution of a tridiagonal linear system by a "methode de chasse" |
---|
450 | ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
---|
451 | ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
---|
452 | ! Warning : after this step, en : right hand side of the matrix |
---|
453 | |
---|
454 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
455 | ! |
---|
456 | ! psi / k |
---|
457 | zratio = psi(ji,jj,jk) / eb(ji,jj,jk) |
---|
458 | ! |
---|
459 | ! psi3+ : stable : B=-KhN²<0 => N²>0 if rn2>0 zdir = 1 (stable) otherwise zdir = 0 (unstable) |
---|
460 | zdir = 0.5_wp + SIGN( 0.5_wp, rn2(ji,jj,jk) ) |
---|
461 | ! |
---|
462 | rpsi3 = zdir * rpsi3m + ( 1._wp - zdir ) * rpsi3p |
---|
463 | ! |
---|
464 | ! shear prod. - stratif. destruction |
---|
465 | prod = rpsi1 * zratio * p_sh2(ji,jj,jk) |
---|
466 | ! |
---|
467 | ! stratif. destruction |
---|
468 | buoy = rpsi3 * zratio * (- p_avt(ji,jj,jk) * rn2(ji,jj,jk) ) |
---|
469 | ! |
---|
470 | ! shear prod. - stratif. destruction |
---|
471 | diss = rpsi2 * zratio * zwall(ji,jj,jk) * eps(ji,jj,jk) |
---|
472 | ! |
---|
473 | zdir = 0.5_wp + SIGN( 0.5_wp, prod + buoy ) ! zdir =1(=0) if shear(ji,jj,jk)+buoy >0(<0) |
---|
474 | ! |
---|
475 | zesh2 = zdir * ( prod + buoy ) + (1._wp - zdir ) * prod ! production term |
---|
476 | zdiss = zdir * ( diss / psi(ji,jj,jk) ) + (1._wp - zdir ) * (diss-buoy) / psi(ji,jj,jk) ! dissipation term |
---|
477 | ! |
---|
478 | ! building the matrix |
---|
479 | zcof = rfact_psi * zwall_psi(ji,jj,jk) * tmask(ji,jj,jk) |
---|
480 | ! ! lower diagonal |
---|
481 | zd_lw(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) ) & |
---|
482 | & / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk,Kmm) ) |
---|
483 | ! ! upper diagonal |
---|
484 | zd_up(ji,jj,jk) = zcof * ( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) ) & |
---|
485 | & / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk,Kmm) ) |
---|
486 | ! ! diagonal |
---|
487 | zdiag(ji,jj,jk) = 1._wp - zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) + rn_Dt * zdiss * wmask(ji,jj,jk) |
---|
488 | ! ! right hand side in psi |
---|
489 | psi(ji,jj,jk) = psi(ji,jj,jk) + rn_Dt * zesh2 * wmask(ji,jj,jk) |
---|
490 | END_3D |
---|
491 | ! |
---|
492 | zdiag(:,:,jpk) = 1._wp |
---|
493 | |
---|
494 | ! Surface boundary condition on psi |
---|
495 | ! --------------------------------- |
---|
496 | ! |
---|
497 | SELECT CASE ( nn_bc_surf ) |
---|
498 | ! |
---|
499 | CASE ( 0 ) ! Dirichlet boundary conditions |
---|
500 | ! |
---|
501 | ! Surface value |
---|
502 | zdep (:,:) = zhsro(:,:) * rl_sf ! Cosmetic |
---|
503 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
504 | zd_lw(:,:,1) = psi(:,:,1) |
---|
505 | zd_up(:,:,1) = 0._wp |
---|
506 | zdiag(:,:,1) = 1._wp |
---|
507 | ! |
---|
508 | ! One level below |
---|
509 | zkar (:,:) = (rl_sf + (vkarmn-rl_sf)*(1._wp-EXP(-rtrans*gdepw(:,:,2,Kmm)/zhsro(:,:) ))) |
---|
510 | zdep (:,:) = (zhsro(:,:) + gdepw(:,:,2,Kmm)) * zkar(:,:) |
---|
511 | psi (:,:,2) = rc0**rpp * en(:,:,2)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
512 | zd_lw(:,:,2) = 0._wp |
---|
513 | zd_up(:,:,2) = 0._wp |
---|
514 | zdiag(:,:,2) = 1._wp |
---|
515 | ! |
---|
516 | CASE ( 1 ) ! Neumann boundary condition on d(psi)/dz |
---|
517 | ! |
---|
518 | ! Surface value: Dirichlet |
---|
519 | zdep (:,:) = zhsro(:,:) * rl_sf |
---|
520 | psi (:,:,1) = rc0**rpp * en(:,:,1)**rmm * zdep(:,:)**rnn * tmask(:,:,1) |
---|
521 | zd_lw(:,:,1) = psi(:,:,1) |
---|
522 | zd_up(:,:,1) = 0._wp |
---|
523 | zdiag(:,:,1) = 1._wp |
---|
524 | ! |
---|
525 | ! Neumann condition at k=2 |
---|
526 | zdiag(:,:,2) = zdiag(:,:,2) + zd_lw(:,:,2) ! Remove zd_lw from zdiag |
---|
527 | zd_lw(:,:,2) = 0._wp |
---|
528 | ! |
---|
529 | ! Set psi vertical flux at the surface: |
---|
530 | zkar (:,:) = rl_sf + (vkarmn-rl_sf)*(1._wp-EXP(-rtrans*gdept(:,:,1,Kmm)/zhsro(:,:) )) ! Lengh scale slope |
---|
531 | zdep (:,:) = ((zhsro(:,:) + gdept(:,:,1,Kmm)) / zhsro(:,:))**(rmm*ra_sf) |
---|
532 | zflxs(:,:) = (rnn + rsbc_tke1 * (rnn + rmm*ra_sf) * zdep(:,:))*(1._wp + rsbc_tke1*zdep(:,:))**(2._wp*rmm/3._wp-1_wp) |
---|
533 | zdep (:,:) = rsbc_psi1 * (zwall_psi(:,:,1)*p_avm(:,:,1)+zwall_psi(:,:,2)*p_avm(:,:,2)) * & |
---|
534 | & ustar2_surf(:,:)**rmm * zkar(:,:)**rnn * (zhsro(:,:) + gdept(:,:,1,Kmm))**(rnn-1.) |
---|
535 | zflxs(:,:) = zdep(:,:) * zflxs(:,:) |
---|
536 | psi (:,:,2) = psi(:,:,2) + zflxs(:,:) / e3w(:,:,2,Kmm) |
---|
537 | ! |
---|
538 | END SELECT |
---|
539 | |
---|
540 | ! Bottom boundary condition on psi |
---|
541 | ! -------------------------------- |
---|
542 | ! |
---|
543 | !!gm should be done for ISF (top boundary cond.) |
---|
544 | !!gm so, totally new staff needed ===>>> think about that ! |
---|
545 | ! |
---|
546 | SELECT CASE ( nn_bc_bot ) ! bottom boundary |
---|
547 | ! |
---|
548 | CASE ( 0 ) ! Dirichlet |
---|
549 | ! ! en(ibot) = u*^2 / Co2 and hmxl_n(ibot) = vkarmn * r_z0_bot |
---|
550 | ! ! Balance between the production and the dissipation terms |
---|
551 | DO_2D( 0, 0, 0, 0 ) |
---|
552 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
553 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
554 | zdep(ji,jj) = vkarmn * r_z0_bot |
---|
555 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
556 | zd_lw(ji,jj,ibot) = 0._wp |
---|
557 | zd_up(ji,jj,ibot) = 0._wp |
---|
558 | zdiag(ji,jj,ibot) = 1._wp |
---|
559 | ! |
---|
560 | ! Just above last level, Dirichlet condition again (GOTM like) |
---|
561 | zdep(ji,jj) = vkarmn * ( r_z0_bot + e3t(ji,jj,ibotm1,Kmm) ) |
---|
562 | psi (ji,jj,ibotm1) = rc0**rpp * en(ji,jj,ibot )**rmm * zdep(ji,jj)**rnn |
---|
563 | zd_lw(ji,jj,ibotm1) = 0._wp |
---|
564 | zd_up(ji,jj,ibotm1) = 0._wp |
---|
565 | zdiag(ji,jj,ibotm1) = 1._wp |
---|
566 | END_2D |
---|
567 | ! |
---|
568 | CASE ( 1 ) ! Neumman boundary condition |
---|
569 | ! |
---|
570 | DO_2D( 0, 0, 0, 0 ) |
---|
571 | ibot = mbkt(ji,jj) + 1 ! k bottom level of w-point |
---|
572 | ibotm1 = mbkt(ji,jj) ! k-1 bottom level of w-point but >=1 |
---|
573 | ! |
---|
574 | ! Bottom level Dirichlet condition: |
---|
575 | zdep(ji,jj) = vkarmn * r_z0_bot |
---|
576 | psi (ji,jj,ibot) = rc0**rpp * en(ji,jj,ibot)**rmm * zdep(ji,jj)**rnn |
---|
577 | ! |
---|
578 | zd_lw(ji,jj,ibot) = 0._wp |
---|
579 | zd_up(ji,jj,ibot) = 0._wp |
---|
580 | zdiag(ji,jj,ibot) = 1._wp |
---|
581 | ! |
---|
582 | ! Just above last level: Neumann condition with flux injection |
---|
583 | zdiag(ji,jj,ibotm1) = zdiag(ji,jj,ibotm1) + zd_up(ji,jj,ibotm1) ! Remove zd_up from zdiag |
---|
584 | zd_up(ji,jj,ibotm1) = 0. |
---|
585 | ! |
---|
586 | ! Set psi vertical flux at the bottom: |
---|
587 | zdep(ji,jj) = r_z0_bot + 0.5_wp*e3t(ji,jj,ibotm1,Kmm) |
---|
588 | zflxb = rsbc_psi2 * ( p_avm(ji,jj,ibot) + p_avm(ji,jj,ibotm1) ) & |
---|
589 | & * (0.5_wp*(en(ji,jj,ibot)+en(ji,jj,ibotm1)))**rmm * zdep(ji,jj)**(rnn-1._wp) |
---|
590 | psi(ji,jj,ibotm1) = psi(ji,jj,ibotm1) + zflxb / e3w(ji,jj,ibotm1,Kmm) |
---|
591 | END_2D |
---|
592 | ! |
---|
593 | END SELECT |
---|
594 | |
---|
595 | ! Matrix inversion |
---|
596 | ! ---------------- |
---|
597 | ! |
---|
598 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
599 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
---|
600 | END_3D |
---|
601 | DO_3D( 0, 0, 0, 0, 2, jpk ) |
---|
602 | zd_lw(ji,jj,jk) = psi(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) * zd_lw(ji,jj,jk-1) |
---|
603 | END_3D |
---|
604 | DO_3DS( 0, 0, 0, 0, jpk-1, 2, -1 ) |
---|
605 | psi(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * psi(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
---|
606 | END_3D |
---|
607 | |
---|
608 | ! Set dissipation |
---|
609 | !---------------- |
---|
610 | |
---|
611 | SELECT CASE ( nn_clos ) |
---|
612 | ! |
---|
613 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
614 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
615 | eps(ji,jj,jk) = rc03 * en(ji,jj,jk) * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / MAX( psi(ji,jj,jk), rn_epsmin) |
---|
616 | END_3D |
---|
617 | ! |
---|
618 | CASE( 1 ) ! k-eps |
---|
619 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
620 | eps(ji,jj,jk) = psi(ji,jj,jk) |
---|
621 | END_3D |
---|
622 | ! |
---|
623 | CASE( 2 ) ! k-w |
---|
624 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
625 | eps(ji,jj,jk) = rc04 * en(ji,jj,jk) * psi(ji,jj,jk) |
---|
626 | END_3D |
---|
627 | ! |
---|
628 | CASE( 3 ) ! generic |
---|
629 | zcoef = rc0**( 3._wp + rpp/rnn ) |
---|
630 | zex1 = ( 1.5_wp + rmm/rnn ) |
---|
631 | zex2 = -1._wp / rnn |
---|
632 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
633 | eps(ji,jj,jk) = zcoef * en(ji,jj,jk)**zex1 * psi(ji,jj,jk)**zex2 |
---|
634 | END_3D |
---|
635 | ! |
---|
636 | END SELECT |
---|
637 | |
---|
638 | ! Limit dissipation rate under stable stratification |
---|
639 | ! -------------------------------------------------- |
---|
640 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
641 | ! limitation |
---|
642 | eps (ji,jj,jk) = MAX( eps(ji,jj,jk), rn_epsmin ) |
---|
643 | hmxl_n(ji,jj,jk) = rc03 * en(ji,jj,jk) * SQRT( en(ji,jj,jk) ) / eps(ji,jj,jk) |
---|
644 | ! Galperin criterium (NOTE : Not required if the proper value of C3 in stable cases is calculated) |
---|
645 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
---|
646 | IF( ln_length_lim ) hmxl_n(ji,jj,jk) = MIN( rn_clim_galp * SQRT( 2._wp * en(ji,jj,jk) / zrn2 ), hmxl_n(ji,jj,jk) ) |
---|
647 | END_3D |
---|
648 | |
---|
649 | ! |
---|
650 | ! Stability function and vertical viscosity and diffusivity |
---|
651 | ! --------------------------------------------------------- |
---|
652 | ! |
---|
653 | SELECT CASE ( nn_stab_func ) |
---|
654 | ! |
---|
655 | CASE ( 0 , 1 ) ! Galperin or Kantha-Clayson stability functions |
---|
656 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
657 | ! zcof = l²/q² |
---|
658 | zcof = hmxl_b(ji,jj,jk) * hmxl_b(ji,jj,jk) / ( 2._wp*eb(ji,jj,jk) ) |
---|
659 | ! Gh = -N²l²/q² |
---|
660 | gh = - rn2(ji,jj,jk) * zcof |
---|
661 | gh = MIN( gh, rgh0 ) |
---|
662 | gh = MAX( gh, rghmin ) |
---|
663 | ! Stability functions from Kantha and Clayson (if C2=C3=0 => Galperin) |
---|
664 | sh = ra2*( 1._wp-6._wp*ra1/rb1 ) / ( 1.-3.*ra2*gh*(6.*ra1+rb2*( 1._wp-rc3 ) ) ) |
---|
665 | sm = ( rb1**(-1._wp/3._wp) + ( 18._wp*ra1*ra1 + 9._wp*ra1*ra2*(1._wp-rc2) )*sh*gh ) / (1._wp-9._wp*ra1*ra2*gh) |
---|
666 | ! |
---|
667 | ! Store stability function in zstt and zstm |
---|
668 | zstt(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
669 | zstm(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
670 | END_3D |
---|
671 | ! |
---|
672 | CASE ( 2, 3 ) ! Canuto stability functions |
---|
673 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
674 | ! zcof = l²/q² |
---|
675 | zcof = hmxl_b(ji,jj,jk)*hmxl_b(ji,jj,jk) / ( 2._wp * eb(ji,jj,jk) ) |
---|
676 | ! Gh = -N²l²/q² |
---|
677 | gh = - rn2(ji,jj,jk) * zcof |
---|
678 | gh = MIN( gh, rgh0 ) |
---|
679 | gh = MAX( gh, rghmin ) |
---|
680 | gh = gh * rf6 |
---|
681 | ! Gm = M²l²/q² Shear number |
---|
682 | shr = p_sh2(ji,jj,jk) / MAX( p_avm(ji,jj,jk), rsmall ) |
---|
683 | gm = MAX( shr * zcof , 1.e-10 ) |
---|
684 | gm = gm * rf6 |
---|
685 | gm = MIN ( (rd0 - rd1*gh + rd3*gh*gh) / (rd2-rd4*gh) , gm ) |
---|
686 | ! Stability functions from Canuto |
---|
687 | rcff = rd0 - rd1*gh +rd2*gm + rd3*gh*gh - rd4*gh*gm + rd5*gm*gm |
---|
688 | sm = (rs0 - rs1*gh + rs2*gm) / rcff |
---|
689 | sh = (rs4 - rs5*gh + rs6*gm) / rcff |
---|
690 | ! |
---|
691 | ! Store stability function in zstt and zstm |
---|
692 | zstt(ji,jj,jk) = rc_diff * sh * tmask(ji,jj,jk) |
---|
693 | zstm(ji,jj,jk) = rc_diff * sm * tmask(ji,jj,jk) |
---|
694 | END_3D |
---|
695 | ! |
---|
696 | END SELECT |
---|
697 | |
---|
698 | ! Boundary conditions on stability functions for momentum (Neumann): |
---|
699 | ! Lines below are useless if GOTM style Dirichlet conditions are used |
---|
700 | |
---|
701 | zstm(:,:,1) = zstm(:,:,2) |
---|
702 | |
---|
703 | ! default value, in case jpk > mbkt(ji,jj)+1. Not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
704 | zstm(:,:,jpk) = 0. |
---|
705 | DO_2D( 0, 0, 0, 0 ) |
---|
706 | zstm(ji,jj,mbkt(ji,jj)+1) = zstm(ji,jj,mbkt(ji,jj)) |
---|
707 | END_2D |
---|
708 | |
---|
709 | zstt(:,:, 1) = wmask(:,:, 1) ! default value not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
710 | zstt(:,:,jpk) = wmask(:,:,jpk) ! default value not needed but avoid a bug when looking for undefined values (-fpe0) |
---|
711 | |
---|
712 | !!gm should be done for ISF (top boundary cond.) |
---|
713 | !!gm so, totally new staff needed!!gm |
---|
714 | |
---|
715 | ! Compute diffusivities/viscosities |
---|
716 | ! The computation below could be restrained to jk=2 to jpkm1 if GOTM style Dirichlet conditions are used |
---|
717 | ! -> yes BUT p_avm(:,:1) and p_avm(:,:jpk) are used when we compute zd_lw(:,:2) and zd_up(:,:jpkm1). These values are |
---|
718 | ! later overwritten by surface/bottom boundaries conditions, so we don't really care of p_avm(:,:1) and p_avm(:,:jpk) |
---|
719 | ! for zd_lw and zd_up but they have to be defined to avoid a bug when looking for undefined values (-fpe0) |
---|
720 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
---|
721 | zsqen = SQRT( 2._wp * en(ji,jj,jk) ) * hmxl_n(ji,jj,jk) |
---|
722 | zavt = zsqen * zstt(ji,jj,jk) |
---|
723 | zavm = zsqen * zstm(ji,jj,jk) |
---|
724 | p_avt(ji,jj,jk) = MAX( zavt, avtb(jk) ) * wmask(ji,jj,jk) ! apply mask for zdfmxl routine |
---|
725 | p_avm(ji,jj,jk) = MAX( zavm, avmb(jk) ) ! Note that avm is not masked at the surface and the bottom |
---|
726 | END_3D |
---|
727 | p_avt(:,:,1) = 0._wp |
---|
728 | ! |
---|
729 | IF(sn_cfctl%l_prtctl) THEN |
---|
730 | CALL prt_ctl( tab3d_1=en , clinfo1=' gls - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk) |
---|
731 | CALL prt_ctl( tab3d_1=p_avm, clinfo1=' gls - m: ', kdim=jpk ) |
---|
732 | ENDIF |
---|
733 | ! |
---|
734 | END SUBROUTINE zdf_gls |
---|
735 | |
---|
736 | |
---|
737 | SUBROUTINE zdf_gls_init |
---|
738 | !!---------------------------------------------------------------------- |
---|
739 | !! *** ROUTINE zdf_gls_init *** |
---|
740 | !! |
---|
741 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
742 | !! viscosity computed using a GLS turbulent closure scheme |
---|
743 | !! |
---|
744 | !! ** Method : Read the namzdf_gls namelist and check the parameters |
---|
745 | !! |
---|
746 | !! ** input : Namlist namzdf_gls |
---|
747 | !! |
---|
748 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
---|
749 | !! |
---|
750 | !!---------------------------------------------------------------------- |
---|
751 | INTEGER :: jk ! dummy loop indices |
---|
752 | INTEGER :: ios ! Local integer output status for namelist read |
---|
753 | REAL(wp):: zcr ! local scalar |
---|
754 | !! |
---|
755 | NAMELIST/namzdf_gls/rn_emin, rn_epsmin, ln_length_lim, & |
---|
756 | & rn_clim_galp, ln_sigpsi, rn_hsro, & |
---|
757 | & rn_crban, rn_charn, rn_frac_hs, & |
---|
758 | & nn_bc_surf, nn_bc_bot, nn_z0_met, & |
---|
759 | & nn_stab_func, nn_clos |
---|
760 | !!---------------------------------------------------------- |
---|
761 | ! |
---|
762 | READ ( numnam_ref, namzdf_gls, IOSTAT = ios, ERR = 901) |
---|
763 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_gls in reference namelist' ) |
---|
764 | |
---|
765 | READ ( numnam_cfg, namzdf_gls, IOSTAT = ios, ERR = 902 ) |
---|
766 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_gls in configuration namelist' ) |
---|
767 | IF(lwm) WRITE ( numond, namzdf_gls ) |
---|
768 | |
---|
769 | IF(lwp) THEN !* Control print |
---|
770 | WRITE(numout,*) |
---|
771 | WRITE(numout,*) 'zdf_gls_init : GLS turbulent closure scheme' |
---|
772 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
773 | WRITE(numout,*) ' Namelist namzdf_gls : set gls mixing parameters' |
---|
774 | WRITE(numout,*) ' minimum value of en rn_emin = ', rn_emin |
---|
775 | WRITE(numout,*) ' minimum value of eps rn_epsmin = ', rn_epsmin |
---|
776 | WRITE(numout,*) ' Limit dissipation rate under stable stratif. ln_length_lim = ', ln_length_lim |
---|
777 | WRITE(numout,*) ' Galperin limit (Standard: 0.53, Holt: 0.26) rn_clim_galp = ', rn_clim_galp |
---|
778 | WRITE(numout,*) ' TKE Surface boundary condition nn_bc_surf = ', nn_bc_surf |
---|
779 | WRITE(numout,*) ' TKE Bottom boundary condition nn_bc_bot = ', nn_bc_bot |
---|
780 | WRITE(numout,*) ' Modify psi Schmidt number (wb case) ln_sigpsi = ', ln_sigpsi |
---|
781 | WRITE(numout,*) ' Craig and Banner coefficient rn_crban = ', rn_crban |
---|
782 | WRITE(numout,*) ' Charnock coefficient rn_charn = ', rn_charn |
---|
783 | WRITE(numout,*) ' Surface roughness formula nn_z0_met = ', nn_z0_met |
---|
784 | WRITE(numout,*) ' Wave height frac. (used if nn_z0_met=2) rn_frac_hs = ', rn_frac_hs |
---|
785 | WRITE(numout,*) ' Stability functions nn_stab_func = ', nn_stab_func |
---|
786 | WRITE(numout,*) ' Type of closure nn_clos = ', nn_clos |
---|
787 | WRITE(numout,*) ' Surface roughness (m) rn_hsro = ', rn_hsro |
---|
788 | WRITE(numout,*) |
---|
789 | WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:' |
---|
790 | WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top) = ', r_z0_top |
---|
791 | WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot) = ', r_z0_bot |
---|
792 | WRITE(numout,*) |
---|
793 | ENDIF |
---|
794 | |
---|
795 | ! !* allocate GLS arrays |
---|
796 | IF( zdf_gls_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_gls_init : unable to allocate arrays' ) |
---|
797 | |
---|
798 | ! !* Check of some namelist values |
---|
799 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_bc_surf is 0 or 1' ) |
---|
800 | IF( nn_bc_surf < 0 .OR. nn_bc_surf > 1 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_bc_surf is 0 or 1' ) |
---|
801 | IF( nn_z0_met < 0 .OR. nn_z0_met > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_z0_met is 0, 1, 2 or 3' ) |
---|
802 | IF( nn_z0_met == 3 .AND. .NOT. (ln_wave .AND. ln_sdw ) ) CALL ctl_stop( 'zdf_gls_init: nn_z0_met=3 requires ln_wave=T and ln_sdw=T' ) |
---|
803 | IF( nn_stab_func < 0 .OR. nn_stab_func > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_stab_func is 0, 1, 2 and 3' ) |
---|
804 | IF( nn_clos < 0 .OR. nn_clos > 3 ) CALL ctl_stop( 'zdf_gls_init: bad flag: nn_clos is 0, 1, 2 or 3' ) |
---|
805 | |
---|
806 | SELECT CASE ( nn_clos ) !* set the parameters for the chosen closure |
---|
807 | ! |
---|
808 | CASE( 0 ) ! k-kl (Mellor-Yamada) |
---|
809 | ! |
---|
810 | IF(lwp) WRITE(numout,*) ' ==>> k-kl closure chosen (i.e. closed to the classical Mellor-Yamada)' |
---|
811 | IF(lwp) WRITE(numout,*) |
---|
812 | rpp = 0._wp |
---|
813 | rmm = 1._wp |
---|
814 | rnn = 1._wp |
---|
815 | rsc_tke = 1.96_wp |
---|
816 | rsc_psi = 1.96_wp |
---|
817 | rpsi1 = 0.9_wp |
---|
818 | rpsi3p = 1._wp |
---|
819 | rpsi2 = 0.5_wp |
---|
820 | ! |
---|
821 | SELECT CASE ( nn_stab_func ) |
---|
822 | CASE( 0, 1 ) ; rpsi3m = 2.53_wp ! G88 or KC stability functions |
---|
823 | CASE( 2 ) ; rpsi3m = 2.62_wp ! Canuto A stability functions |
---|
824 | CASE( 3 ) ; rpsi3m = 2.38 ! Canuto B stability functions (caution : constant not identified) |
---|
825 | END SELECT |
---|
826 | ! |
---|
827 | CASE( 1 ) ! k-eps |
---|
828 | ! |
---|
829 | IF(lwp) WRITE(numout,*) ' ==>> k-eps closure chosen' |
---|
830 | IF(lwp) WRITE(numout,*) |
---|
831 | rpp = 3._wp |
---|
832 | rmm = 1.5_wp |
---|
833 | rnn = -1._wp |
---|
834 | rsc_tke = 1._wp |
---|
835 | rsc_psi = 1.2_wp ! Schmidt number for psi |
---|
836 | rpsi1 = 1.44_wp |
---|
837 | rpsi3p = 1._wp |
---|
838 | rpsi2 = 1.92_wp |
---|
839 | ! |
---|
840 | SELECT CASE ( nn_stab_func ) |
---|
841 | CASE( 0, 1 ) ; rpsi3m = -0.52_wp ! G88 or KC stability functions |
---|
842 | CASE( 2 ) ; rpsi3m = -0.629_wp ! Canuto A stability functions |
---|
843 | CASE( 3 ) ; rpsi3m = -0.566 ! Canuto B stability functions |
---|
844 | END SELECT |
---|
845 | ! |
---|
846 | CASE( 2 ) ! k-omega |
---|
847 | ! |
---|
848 | IF(lwp) WRITE(numout,*) ' ==>> k-omega closure chosen' |
---|
849 | IF(lwp) WRITE(numout,*) |
---|
850 | rpp = -1._wp |
---|
851 | rmm = 0.5_wp |
---|
852 | rnn = -1._wp |
---|
853 | rsc_tke = 2._wp |
---|
854 | rsc_psi = 2._wp |
---|
855 | rpsi1 = 0.555_wp |
---|
856 | rpsi3p = 1._wp |
---|
857 | rpsi2 = 0.833_wp |
---|
858 | ! |
---|
859 | SELECT CASE ( nn_stab_func ) |
---|
860 | CASE( 0, 1 ) ; rpsi3m = -0.58_wp ! G88 or KC stability functions |
---|
861 | CASE( 2 ) ; rpsi3m = -0.64_wp ! Canuto A stability functions |
---|
862 | CASE( 3 ) ; rpsi3m = -0.64_wp ! Canuto B stability functions caution : constant not identified) |
---|
863 | END SELECT |
---|
864 | ! |
---|
865 | CASE( 3 ) ! generic |
---|
866 | ! |
---|
867 | IF(lwp) WRITE(numout,*) ' ==>> generic closure chosen' |
---|
868 | IF(lwp) WRITE(numout,*) |
---|
869 | rpp = 2._wp |
---|
870 | rmm = 1._wp |
---|
871 | rnn = -0.67_wp |
---|
872 | rsc_tke = 0.8_wp |
---|
873 | rsc_psi = 1.07_wp |
---|
874 | rpsi1 = 1._wp |
---|
875 | rpsi3p = 1._wp |
---|
876 | rpsi2 = 1.22_wp |
---|
877 | ! |
---|
878 | SELECT CASE ( nn_stab_func ) |
---|
879 | CASE( 0, 1 ) ; rpsi3m = 0.1_wp ! G88 or KC stability functions |
---|
880 | CASE( 2 ) ; rpsi3m = 0.05_wp ! Canuto A stability functions |
---|
881 | CASE( 3 ) ; rpsi3m = 0.05_wp ! Canuto B stability functions caution : constant not identified) |
---|
882 | END SELECT |
---|
883 | ! |
---|
884 | END SELECT |
---|
885 | |
---|
886 | ! |
---|
887 | SELECT CASE ( nn_stab_func ) !* set the parameters of the stability functions |
---|
888 | ! |
---|
889 | CASE ( 0 ) ! Galperin stability functions |
---|
890 | ! |
---|
891 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Galperin' |
---|
892 | rc2 = 0._wp |
---|
893 | rc3 = 0._wp |
---|
894 | rc_diff = 1._wp |
---|
895 | rc0 = 0.5544_wp |
---|
896 | rcm_sf = 0.9884_wp |
---|
897 | rghmin = -0.28_wp |
---|
898 | rgh0 = 0.0233_wp |
---|
899 | rghcri = 0.02_wp |
---|
900 | ! |
---|
901 | CASE ( 1 ) ! Kantha-Clayson stability functions |
---|
902 | ! |
---|
903 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Kantha-Clayson' |
---|
904 | rc2 = 0.7_wp |
---|
905 | rc3 = 0.2_wp |
---|
906 | rc_diff = 1._wp |
---|
907 | rc0 = 0.5544_wp |
---|
908 | rcm_sf = 0.9884_wp |
---|
909 | rghmin = -0.28_wp |
---|
910 | rgh0 = 0.0233_wp |
---|
911 | rghcri = 0.02_wp |
---|
912 | ! |
---|
913 | CASE ( 2 ) ! Canuto A stability functions |
---|
914 | ! |
---|
915 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Canuto A' |
---|
916 | rs0 = 1.5_wp * rl1 * rl5*rl5 |
---|
917 | rs1 = -rl4*(rl6+rl7) + 2._wp*rl4*rl5*(rl1-(1._wp/3._wp)*rl2-rl3) + 1.5_wp*rl1*rl5*rl8 |
---|
918 | rs2 = -(3._wp/8._wp) * rl1*(rl6*rl6-rl7*rl7) |
---|
919 | rs4 = 2._wp * rl5 |
---|
920 | rs5 = 2._wp * rl4 |
---|
921 | rs6 = (2._wp/3._wp) * rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.5_wp * rl5*rl1 * (3._wp*rl3-rl2) & |
---|
922 | & + 0.75_wp * rl1 * ( rl6 - rl7 ) |
---|
923 | rd0 = 3._wp * rl5*rl5 |
---|
924 | rd1 = rl5 * ( 7._wp*rl4 + 3._wp*rl8 ) |
---|
925 | rd2 = rl5*rl5 * ( 3._wp*rl3*rl3 - rl2*rl2 ) - 0.75_wp*(rl6*rl6 - rl7*rl7 ) |
---|
926 | rd3 = rl4 * ( 4._wp*rl4 + 3._wp*rl8) |
---|
927 | rd4 = rl4 * ( rl2 * rl6 - 3._wp*rl3*rl7 - rl5*(rl2*rl2 - rl3*rl3 ) ) + rl5*rl8 * ( 3._wp*rl3*rl3 - rl2*rl2 ) |
---|
928 | rd5 = 0.25_wp * ( rl2*rl2 - 3._wp *rl3*rl3 ) * ( rl6*rl6 - rl7*rl7 ) |
---|
929 | rc0 = 0.5268_wp |
---|
930 | rf6 = 8._wp / (rc0**6._wp) |
---|
931 | rc_diff = SQRT(2._wp) / (rc0**3._wp) |
---|
932 | rcm_sf = 0.7310_wp |
---|
933 | rghmin = -0.28_wp |
---|
934 | rgh0 = 0.0329_wp |
---|
935 | rghcri = 0.03_wp |
---|
936 | ! |
---|
937 | CASE ( 3 ) ! Canuto B stability functions |
---|
938 | ! |
---|
939 | IF(lwp) WRITE(numout,*) ' ==>> Stability functions from Canuto B' |
---|
940 | rs0 = 1.5_wp * rm1 * rm5*rm5 |
---|
941 | rs1 = -rm4 * (rm6+rm7) + 2._wp * rm4*rm5*(rm1-(1._wp/3._wp)*rm2-rm3) + 1.5_wp * rm1*rm5*rm8 |
---|
942 | rs2 = -(3._wp/8._wp) * rm1 * (rm6*rm6-rm7*rm7 ) |
---|
943 | rs4 = 2._wp * rm5 |
---|
944 | rs5 = 2._wp * rm4 |
---|
945 | rs6 = (2._wp/3._wp) * rm5 * (3._wp*rm3*rm3-rm2*rm2) - 0.5_wp * rm5*rm1*(3._wp*rm3-rm2) + 0.75_wp * rm1*(rm6-rm7) |
---|
946 | rd0 = 3._wp * rm5*rm5 |
---|
947 | rd1 = rm5 * (7._wp*rm4 + 3._wp*rm8) |
---|
948 | rd2 = rm5*rm5 * (3._wp*rm3*rm3 - rm2*rm2) - 0.75_wp * (rm6*rm6 - rm7*rm7) |
---|
949 | rd3 = rm4 * ( 4._wp*rm4 + 3._wp*rm8 ) |
---|
950 | rd4 = rm4 * ( rm2*rm6 -3._wp*rm3*rm7 - rm5*(rm2*rm2 - rm3*rm3) ) + rm5 * rm8 * ( 3._wp*rm3*rm3 - rm2*rm2 ) |
---|
951 | rd5 = 0.25_wp * ( rm2*rm2 - 3._wp*rm3*rm3 ) * ( rm6*rm6 - rm7*rm7 ) |
---|
952 | rc0 = 0.5268_wp !! rc0 = 0.5540_wp (Warner ...) to verify ! |
---|
953 | rf6 = 8._wp / ( rc0**6._wp ) |
---|
954 | rc_diff = SQRT(2._wp)/(rc0**3.) |
---|
955 | rcm_sf = 0.7470_wp |
---|
956 | rghmin = -0.28_wp |
---|
957 | rgh0 = 0.0444_wp |
---|
958 | rghcri = 0.0414_wp |
---|
959 | ! |
---|
960 | END SELECT |
---|
961 | |
---|
962 | ! !* Set Schmidt number for psi diffusion in the wave breaking case |
---|
963 | ! ! See Eq. (13) of Carniel et al, OM, 30, 225-239, 2009 |
---|
964 | ! ! or Eq. (17) of Burchard, JPO, 31, 3133-3145, 2001 |
---|
965 | IF( ln_sigpsi ) THEN |
---|
966 | ra_sf = -1.5 ! Set kinetic energy slope, then deduce rsc_psi and rl_sf |
---|
967 | ! Verification: retrieve Burchard (2001) results by uncomenting the line below: |
---|
968 | ! Note that the results depend on the value of rn_cm_sf which is constant (=rc0) in his work |
---|
969 | ! ra_sf = -SQRT(2./3.*rc0**3./rn_cm_sf*rn_sc_tke)/vkarmn |
---|
970 | rsc_psi0 = rsc_tke/(24.*rpsi2)*(-1.+(4.*rnn + ra_sf*(1.+4.*rmm))**2./(ra_sf**2.)) |
---|
971 | ELSE |
---|
972 | rsc_psi0 = rsc_psi |
---|
973 | ENDIF |
---|
974 | |
---|
975 | ! !* Shear free turbulence parameters |
---|
976 | ! |
---|
977 | ra_sf = -4._wp*rnn*SQRT(rsc_tke) / ( (1._wp+4._wp*rmm)*SQRT(rsc_tke) & |
---|
978 | & - SQRT(rsc_tke + 24._wp*rsc_psi0*rpsi2 ) ) |
---|
979 | |
---|
980 | IF ( rn_crban==0._wp ) THEN |
---|
981 | rl_sf = vkarmn |
---|
982 | ELSE |
---|
983 | rl_sf = rc0 * SQRT(rc0/rcm_sf) * SQRT( ( (1._wp + 4._wp*rmm + 8._wp*rmm**2_wp) * rsc_tke & |
---|
984 | & + 12._wp*rsc_psi0*rpsi2 - (1._wp + 4._wp*rmm) & |
---|
985 | & *SQRT(rsc_tke*(rsc_tke & |
---|
986 | & + 24._wp*rsc_psi0*rpsi2)) ) & |
---|
987 | & /(12._wp*rnn**2.) ) |
---|
988 | ENDIF |
---|
989 | |
---|
990 | ! |
---|
991 | IF(lwp) THEN !* Control print |
---|
992 | WRITE(numout,*) |
---|
993 | WRITE(numout,*) ' Limit values :' |
---|
994 | WRITE(numout,*) ' Parameter m = ', rmm |
---|
995 | WRITE(numout,*) ' Parameter n = ', rnn |
---|
996 | WRITE(numout,*) ' Parameter p = ', rpp |
---|
997 | WRITE(numout,*) ' rpsi1 = ', rpsi1 |
---|
998 | WRITE(numout,*) ' rpsi2 = ', rpsi2 |
---|
999 | WRITE(numout,*) ' rpsi3m = ', rpsi3m |
---|
1000 | WRITE(numout,*) ' rpsi3p = ', rpsi3p |
---|
1001 | WRITE(numout,*) ' rsc_tke = ', rsc_tke |
---|
1002 | WRITE(numout,*) ' rsc_psi = ', rsc_psi |
---|
1003 | WRITE(numout,*) ' rsc_psi0 = ', rsc_psi0 |
---|
1004 | WRITE(numout,*) ' rc0 = ', rc0 |
---|
1005 | WRITE(numout,*) |
---|
1006 | WRITE(numout,*) ' Shear free turbulence parameters:' |
---|
1007 | WRITE(numout,*) ' rcm_sf = ', rcm_sf |
---|
1008 | WRITE(numout,*) ' ra_sf = ', ra_sf |
---|
1009 | WRITE(numout,*) ' rl_sf = ', rl_sf |
---|
1010 | ENDIF |
---|
1011 | |
---|
1012 | ! !* Constants initialization |
---|
1013 | rc02 = rc0 * rc0 ; rc02r = 1. / rc02 |
---|
1014 | rc03 = rc02 * rc0 |
---|
1015 | rc04 = rc03 * rc0 |
---|
1016 | rsbc_tke1 = -3._wp/2._wp*rn_crban*ra_sf*rl_sf ! Dirichlet + Wave breaking |
---|
1017 | rsbc_tke2 = rn_Dt * rn_crban / rl_sf ! Neumann + Wave breaking |
---|
1018 | zcr = MAX(rsmall, rsbc_tke1**(1./(-ra_sf*3._wp/2._wp))-1._wp ) |
---|
1019 | rtrans = 0.2_wp / zcr ! Ad. inverse transition length between log and wave layer |
---|
1020 | rsbc_zs1 = rn_charn/grav ! Charnock formula for surface roughness |
---|
1021 | rsbc_zs2 = rn_frac_hs / 0.85_wp / grav * 665._wp ! Rascle formula for surface roughness |
---|
1022 | rsbc_psi1 = -0.5_wp * rn_Dt * rc0**(rpp-2._wp*rmm) / rsc_psi |
---|
1023 | rsbc_psi2 = -0.5_wp * rn_Dt * rc0**rpp * rnn * vkarmn**rnn / rsc_psi ! Neumann + NO Wave breaking |
---|
1024 | ! |
---|
1025 | rfact_tke = -0.5_wp / rsc_tke * rn_Dt ! Cst used for the Diffusion term of tke |
---|
1026 | rfact_psi = -0.5_wp / rsc_psi * rn_Dt ! Cst used for the Diffusion term of tke |
---|
1027 | ! |
---|
1028 | ! !* Wall proximity function |
---|
1029 | !!gm tmask or wmask ???? |
---|
1030 | zwall(:,:,:) = 1._wp * tmask(:,:,:) |
---|
1031 | |
---|
1032 | ! !* read or initialize all required files |
---|
1033 | CALL gls_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, hmxl_n) |
---|
1034 | ! |
---|
1035 | IF( lwxios ) THEN |
---|
1036 | CALL iom_set_rstw_var_active('en') |
---|
1037 | CALL iom_set_rstw_var_active('avt_k') |
---|
1038 | CALL iom_set_rstw_var_active('avm_k') |
---|
1039 | CALL iom_set_rstw_var_active('hmxl_n') |
---|
1040 | ENDIF |
---|
1041 | ! |
---|
1042 | END SUBROUTINE zdf_gls_init |
---|
1043 | |
---|
1044 | |
---|
1045 | SUBROUTINE gls_rst( kt, cdrw ) |
---|
1046 | !!--------------------------------------------------------------------- |
---|
1047 | !! *** ROUTINE gls_rst *** |
---|
1048 | !! |
---|
1049 | !! ** Purpose : Read or write TKE file (en) in restart file |
---|
1050 | !! |
---|
1051 | !! ** Method : use of IOM library |
---|
1052 | !! if the restart does not contain TKE, en is either |
---|
1053 | !! set to rn_emin or recomputed (nn_igls/=0) |
---|
1054 | !!---------------------------------------------------------------------- |
---|
1055 | USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics |
---|
1056 | !! |
---|
1057 | INTEGER , INTENT(in) :: kt ! ocean time-step |
---|
1058 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
1059 | ! |
---|
1060 | INTEGER :: jit, jk ! dummy loop indices |
---|
1061 | INTEGER :: id1, id2, id3, id4 |
---|
1062 | INTEGER :: ji, jj, ikbu, ikbv |
---|
1063 | REAL(wp):: cbx, cby |
---|
1064 | !!---------------------------------------------------------------------- |
---|
1065 | ! |
---|
1066 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
---|
1067 | ! ! --------------- |
---|
1068 | IF( ln_rstart ) THEN !* Read the restart file |
---|
1069 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
---|
1070 | id2 = iom_varid( numror, 'avt_k' , ldstop = .FALSE. ) |
---|
1071 | id3 = iom_varid( numror, 'avm_k' , ldstop = .FALSE. ) |
---|
1072 | id4 = iom_varid( numror, 'hmxl_n', ldstop = .FALSE. ) |
---|
1073 | ! |
---|
1074 | IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! all required arrays exist |
---|
1075 | IF(lrxios) CALL iom_swap( TRIM(crxios_context) ) |
---|
1076 | CALL iom_get( numror, jpdom_auto, 'en' , en , ldxios = lrxios ) |
---|
1077 | CALL iom_get( numror, jpdom_auto, 'avt_k' , avt_k , ldxios = lrxios ) |
---|
1078 | CALL iom_get( numror, jpdom_auto, 'avm_k' , avm_k , ldxios = lrxios ) |
---|
1079 | CALL iom_get( numror, jpdom_auto, 'hmxl_n', hmxl_n, ldxios = lrxios ) |
---|
1080 | IF(lrxios) CALL iom_swap( TRIM(cxios_context) ) |
---|
1081 | ELSE |
---|
1082 | IF(lwp) WRITE(numout,*) |
---|
1083 | IF(lwp) WRITE(numout,*) ' ==>> previous run without GLS scheme, set en and hmxl_n to background values' |
---|
1084 | en (:,:,:) = rn_emin |
---|
1085 | hmxl_n(:,:,:) = 0.05_wp |
---|
1086 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
---|
1087 | ENDIF |
---|
1088 | ELSE !* Start from rest |
---|
1089 | IF(lwp) WRITE(numout,*) |
---|
1090 | IF(lwp) WRITE(numout,*) ' ==>> start from rest, set en and hmxl_n by background values' |
---|
1091 | en (:,:,:) = rn_emin |
---|
1092 | hmxl_n(:,:,:) = 0.05_wp |
---|
1093 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
---|
1094 | ENDIF |
---|
1095 | ! |
---|
1096 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
---|
1097 | ! ! ------------------- |
---|
1098 | IF(lwp) WRITE(numout,*) '---- gls-rst ----' |
---|
1099 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
---|
1100 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios ) |
---|
1101 | CALL iom_rstput( kt, nitrst, numrow, 'avt_k' , avt_k , ldxios = lwxios ) |
---|
1102 | CALL iom_rstput( kt, nitrst, numrow, 'avm_k' , avm_k , ldxios = lwxios ) |
---|
1103 | CALL iom_rstput( kt, nitrst, numrow, 'hmxl_n', hmxl_n, ldxios = lwxios ) |
---|
1104 | IF( lwxios ) CALL iom_swap( cxios_context ) |
---|
1105 | ! |
---|
1106 | ENDIF |
---|
1107 | ! |
---|
1108 | END SUBROUTINE gls_rst |
---|
1109 | |
---|
1110 | !!====================================================================== |
---|
1111 | END MODULE zdfgls |
---|