1 | MODULE dynldf_bilapg |
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2 | !!====================================================================== |
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3 | !! *** MODULE dynldf_bilapg *** |
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4 | !! Ocean dynamics: lateral viscosity trend |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 1997-07 (G. Madec) Original code |
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7 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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8 | !! 2.0 ! 2004-08 (C. Talandier) New trends organization |
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9 | !!---------------------------------------------------------------------- |
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10 | #if defined key_ldfslp || defined key_esopa |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_ldfslp' Rotation of mixing tensor |
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13 | !!---------------------------------------------------------------------- |
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14 | !! dyn_ldf_bilapg : update the momentum trend with the horizontal part |
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15 | !! of the horizontal s-coord. bilaplacian diffusion |
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16 | !! ldfguv : |
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17 | !!---------------------------------------------------------------------- |
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18 | USE oce ! ocean dynamics and tracers |
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19 | USE dom_oce ! ocean space and time domain |
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20 | USE ldfdyn_oce ! ocean dynamics lateral physics |
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21 | USE zdf_oce ! ocean vertical physics |
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22 | USE trdmod ! ocean dynamics trends |
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23 | USE trdmod_oce ! ocean variables trends |
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24 | USE ldfslp ! iso-neutral slopes available |
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25 | USE in_out_manager ! I/O manager |
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26 | USE lib_mpp ! MPP library |
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27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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28 | USE prtctl ! Print control |
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29 | |
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30 | IMPLICIT NONE |
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31 | PRIVATE |
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32 | |
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33 | PUBLIC dyn_ldf_bilapg ! called by step.F90 |
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34 | |
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35 | !FTRANS zfuw zfvw zdiu zdiv :I :z |
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36 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfuw, zfvw , zdiu, zdiv ! 2D workspace (ldfguv) |
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37 | !FTRANS zdju zdj1u zdjv zdj1v :I :z |
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38 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zdju, zdj1u, zdjv, zdj1v ! 2D workspace (ldfguv) |
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39 | |
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40 | !! * Control permutation of array indices |
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41 | # include "oce_ftrans.h90" |
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42 | # include "dom_oce_ftrans.h90" |
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43 | # include "ldfdyn_oce_ftrans.h90" |
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44 | # include "zdf_oce_ftrans.h90" |
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45 | # include "ldfslp_ftrans.h90" |
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46 | |
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47 | !! * Substitutions |
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48 | # include "domzgr_substitute.h90" |
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49 | # include "ldfdyn_substitute.h90" |
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50 | !!---------------------------------------------------------------------- |
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51 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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52 | !! $Id$ |
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53 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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54 | !!---------------------------------------------------------------------- |
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55 | CONTAINS |
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56 | |
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57 | INTEGER FUNCTION dyn_ldf_bilapg_alloc() |
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58 | !!---------------------------------------------------------------------- |
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59 | !! *** ROUTINE dyn_ldf_bilapg_alloc *** |
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60 | !!---------------------------------------------------------------------- |
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61 | ALLOCATE( zfuw(jpi,jpk) , zfvw (jpi,jpk) , zdiu(jpi,jpk) , zdiv (jpi,jpk) , & |
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62 | & zdju(jpi,jpk) , zdj1u(jpi,jpk) , zdjv(jpi,jpk) , zdj1v(jpi,jpk) , STAT=dyn_ldf_bilapg_alloc ) |
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63 | ! |
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64 | IF( dyn_ldf_bilapg_alloc /= 0 ) CALL ctl_warn('dyn_ldf_bilapg_alloc: failed to allocate arrays') |
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65 | END FUNCTION dyn_ldf_bilapg_alloc |
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66 | |
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67 | |
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68 | SUBROUTINE dyn_ldf_bilapg( kt ) |
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69 | !!---------------------------------------------------------------------- |
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70 | !! *** ROUTINE dyn_ldf_bilapg *** |
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71 | !! |
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72 | !! ** Purpose : Compute the before trend of the horizontal momentum |
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73 | !! diffusion and add it to the general trend of momentum equation. |
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74 | !! |
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75 | !! ** Method : The lateral momentum diffusive trends is provided by a |
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76 | !! a 4th order operator rotated along geopotential surfaces. It is |
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77 | !! computed using before fields (forward in time) and geopotential |
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78 | !! slopes computed in routine inildf. |
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79 | !! -1- compute the geopotential harmonic operator applied to |
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80 | !! (ub,vb) and multiply it by the eddy diffusivity coefficient |
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81 | !! (done by a call to ldfgpu and ldfgpv routines) The result is in |
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82 | !! (zwk1,zwk2) arrays. Applied the domain lateral boundary conditions |
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83 | !! by call to lbc_lnk. |
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84 | !! -2- applied to (zwk1,zwk2) the geopotential harmonic operator |
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85 | !! by a second call to ldfgpu and ldfgpv routines respectively. The |
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86 | !! result is in (zwk3,zwk4) arrays. |
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87 | !! -3- Add this trend to the general trend (ta,sa): |
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88 | !! (ua,va) = (ua,va) + (zwk3,zwk4) |
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89 | !! 'key_trddyn' defined: the trend is saved for diagnostics. |
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90 | !! |
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91 | !! ** Action : - Update (ua,va) arrays with the before geopotential |
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92 | !! biharmonic mixing trend. |
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93 | !! - save the trend in (zwk3,zwk4) ('key_trddyn') |
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94 | !!---------------------------------------------------------------------- |
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95 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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96 | USE wrk_nemo, ONLY: zwk1 => wrk_3d_3 , zwk2 => wrk_3d_4 ! 3D workspace |
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97 | USE oce , ONLY: zwk3 => ta , zwk4 => sa ! ta, sa used as 3D workspace |
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98 | !! DCSE_NEMO: need additional directives for renamed module variables |
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99 | !FTRANS zwk1 :I :I :z |
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100 | !FTRANS zwk2 :I :I :z |
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101 | !FTRANS zwk3 :I :I :z |
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102 | !FTRANS zwk4 :I :I :z |
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103 | ! |
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104 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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105 | ! |
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106 | INTEGER :: ji, jj, jk ! dummy loop indices |
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107 | !!---------------------------------------------------------------------- |
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108 | |
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109 | IF( wrk_in_use(3, 3,4) ) THEN |
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110 | CALL ctl_stop('dyn_ldf_bilapg: requested workspace arrays unavailable') ; RETURN |
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111 | ENDIF |
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112 | |
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113 | IF( kt == nit000 ) THEN |
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114 | IF(lwp) WRITE(numout,*) |
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115 | IF(lwp) WRITE(numout,*) 'dyn_ldf_bilapg : horizontal biharmonic operator in s-coordinate' |
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116 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~' |
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117 | zwk1(:,:,:) = 0.e0_wp ; zwk3(:,:,:) = 0.e0_wp |
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118 | zwk2(:,:,:) = 0.e0_wp ; zwk4(:,:,:) = 0.e0_wp |
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119 | ! ! allocate dyn_ldf_bilapg arrays |
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120 | IF( dyn_ldf_bilapg_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_bilapg: failed to allocate arrays') |
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121 | ENDIF |
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122 | |
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123 | ! Laplacian of (ub,vb) multiplied by ahm |
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124 | ! -------------------------------------- |
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125 | CALL ldfguv( ub, vb, zwk1, zwk2, 1 ) ! rotated harmonic operator applied to (ub,vb) |
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126 | ! ! and multiply by ahmu, ahmv (output in (zwk1,zwk2) ) |
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127 | CALL lbc_lnk( zwk1, 'U', -1. ) ; CALL lbc_lnk( zwk2, 'V', -1. ) ! Lateral boundary conditions |
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128 | |
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129 | ! Bilaplacian of (ub,vb) |
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130 | ! ---------------------- |
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131 | CALL ldfguv( zwk1, zwk2, zwk3, zwk4, 2 ) ! rotated harmonic operator applied to (zwk1,zwk2) |
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132 | ! ! (output in (zwk3,zwk4) ) |
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133 | |
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134 | ! Update the momentum trends |
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135 | ! -------------------------- |
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136 | #if defined key_z_first |
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137 | DO jj = 2, jpjm1 ! add the diffusive trend to the general momentum trends |
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138 | DO ji = 2, jpim1 |
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139 | DO jk = 1, mbkmax(ji,jj)-1 ! jpkm1 |
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140 | #else |
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141 | DO jj = 2, jpjm1 ! add the diffusive trend to the general momentum trends |
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142 | DO jk = 1, jpkm1 |
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143 | DO ji = 2, jpim1 |
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144 | #endif |
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145 | ua(ji,jj,jk) = ua(ji,jj,jk) + zwk3(ji,jj,jk) |
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146 | va(ji,jj,jk) = va(ji,jj,jk) + zwk4(ji,jj,jk) |
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147 | END DO |
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148 | END DO |
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149 | END DO |
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150 | ! |
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151 | IF( wrk_not_released(3, 3,4) ) CALL ctl_stop('dyn_ldf_bilapg: failed to release workspace arrays') |
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152 | ! |
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153 | END SUBROUTINE dyn_ldf_bilapg |
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154 | |
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155 | |
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156 | SUBROUTINE ldfguv( pu, pv, plu, plv, kahm ) |
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157 | !!---------------------------------------------------------------------- |
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158 | !! *** ROUTINE ldfguv *** |
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159 | !! |
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160 | !! ** Purpose : Apply a geopotential harmonic operator to (pu,pv) |
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161 | !! (defined at u- and v-points) and multiply it by the eddy |
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162 | !! viscosity coefficient (if kahm=1). |
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163 | !! |
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164 | !! ** Method : The harmonic operator rotated along geopotential |
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165 | !! surfaces is applied to (pu,pv) using the slopes of geopotential |
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166 | !! surfaces computed in inildf routine. The result is provided in |
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167 | !! (plu,plv) arrays. It is computed in 2 stepv: |
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168 | !! |
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169 | !! First step: horizontal part of the operator. It is computed on |
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170 | !! ========== pu as follows (idem on pv) |
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171 | !! horizontal fluxes : |
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172 | !! zftu = e2u*e3u/e1u di[ pu ] - e2u*uslp dk[ mi(mk(pu)) ] |
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173 | !! zftv = e1v*e3v/e2v dj[ pu ] - e1v*vslp dk[ mj(mk(pu)) ] |
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174 | !! take the horizontal divergence of the fluxes (no divided by |
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175 | !! the volume element : |
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176 | !! plu = di-1[ zftu ] + dj-1[ zftv ] |
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177 | !! |
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178 | !! Second step: vertical part of the operator. It is computed on |
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179 | !! =========== pu as follows (idem on pv) |
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180 | !! vertical fluxes : |
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181 | !! zftw = e1t*e2t/e3w * (wslpi^2+wslpj^2) dk-1[ pu ] |
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182 | !! - e2t * wslpi di[ mi(mk(pu)) ] |
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183 | !! - e1t * wslpj dj[ mj(mk(pu)) ] |
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184 | !! take the vertical divergence of the fluxes add it to the hori- |
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185 | !! zontal component, divide the result by the volume element and |
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186 | !! if kahm=1, multiply by the eddy diffusivity coefficient: |
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187 | !! plu = aht / (e1t*e2t*e3t) { plu + dk[ zftw ] } |
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188 | !! else: |
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189 | !! plu = 1 / (e1t*e2t*e3t) { plu + dk[ zftw ] } |
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190 | !! |
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191 | !! ** Action : |
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192 | !! plu, plv : partial harmonic operator applied to |
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193 | !! pu and pv (all the components except |
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194 | !! second order vertical derivative term) |
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195 | !! 'key_trddyn' defined: the trend is saved for diagnostics. |
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196 | !!---------------------------------------------------------------------- |
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197 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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198 | USE wrk_nemo, ONLY: ziut => wrk_2d_1 , zjuf => wrk_2d_2 , zjvt => wrk_2d_3 |
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199 | USE wrk_nemo, ONLY: zivf => wrk_2d_4 |
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200 | #if ! defined key_z_first |
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201 | USE wrk_nemo, ONLY: zdku => wrk_2d_5 , zdk1u => wrk_2d_6 |
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202 | USE wrk_nemo, ONLY: zdkv => wrk_2d_7 , zdk1v => wrk_2d_8 |
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203 | #endif |
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204 | USE timing , ONLY: timing_start, timing_stop |
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205 | !! |
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206 | !FTRANS pu :I :I :z |
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207 | !FTRANS pv :I :I :z |
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208 | !FTRANS plu :I :I :z |
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209 | !FTRANS plv :I :I :z |
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210 | !! DCSE_NEMO: work around deficiency in ftrans |
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211 | ! REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pu , pv ! 1st call: before horizontal velocity |
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212 | ! ! 2nd call: ahm x these fields |
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213 | REAL(wp), INTENT(in ) :: pu(jpi,jpj,jpkorig) , pv(jpi,jpj,jpkorig) |
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214 | ! REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out) :: plu, plv ! partial harmonic operator applied to |
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215 | ! ! pu and pv (all the components except |
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216 | ! ! second order vertical derivative term) |
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217 | REAL(wp), INTENT( out) :: plu(jpi,jpj,jpkorig), plv(jpi,jpj,jpkorig) ! partial harmonic operator applied to |
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218 | INTEGER , INTENT(in ) :: kahm ! =1 1st call ; =2 2nd call |
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219 | ! |
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220 | INTEGER :: ji, jj, jk ! dummy loop indices |
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221 | INTEGER :: jif, jjf ! dummy loop indices over full domain |
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222 | REAL(wp) :: zabe1 , zabe2 , zcof1 , zcof2 ! local scalar |
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223 | REAL(wp) :: zcoef0, zcoef3, zcoef4 ! - - |
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224 | REAL(wp) :: zbur, zbvr, zmkt, zmkf, zuav, zvav ! - - |
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225 | REAL(wp) :: zuwslpi, zuwslpj, zvwslpi, zvwslpj ! - - |
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226 | #if defined key_z_first |
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227 | ! Can use scalars instead of work arrays when built with z-first |
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228 | REAL(wp) :: zdku, zdkv, zdk1u, zdk1v |
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229 | #endif |
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230 | !!---------------------------------------------------------------------- |
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231 | |
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232 | CALL timing_start('ldfguv') |
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233 | |
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234 | IF( wrk_in_use(2, 1,2,3,4,5,6,7,8) ) THEN |
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235 | CALL ctl_stop('dyn:ldfguv: requested workspace arrays unavailable') ; RETURN |
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236 | END IF |
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237 | CALL timing_start('ldfguv_1st') |
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238 | |
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239 | #if defined key_z_first |
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240 | ! ! ********** ! |
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241 | ! First step ! |
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242 | ! ! ********** ! |
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243 | DO jj = 2, jpjm1 |
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244 | DO ji = 2, jpim1 |
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245 | |
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246 | ! Treat jk = 1 separately as is special case |
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247 | jk = 1 |
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248 | |
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249 | plu(ji,jj,jk) = & |
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250 | ! ------------- ziut (ji+1, jj) - |
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251 | tmask(ji+1,jj,jk) * & |
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252 | ( (e2t(ji+1,jj) * fse3t(ji+1,jj,jk) / e1t(ji+1,jj)) * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
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253 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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254 | + (-e2t(ji+1,jj) / MAX( umask(ji,jj,jk )+umask(ji+1,jj,jk+1) & |
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255 | + umask(ji,jj,jk+1)+umask(ji+1,jj,jk ), 1._wp ) & |
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256 | * 0.5 * ( uslp(ji,jj,jk) + uslp(ji+1,jj,jk) ) ) * & |
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257 | ( ( pu(ji+1,jj,jk) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) + & |
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258 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
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259 | ! +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
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260 | ( pu(ji+1,jj,jk) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) + & |
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261 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) & |
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262 | ) ) - & |
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263 | ! ------------- ziut (ji,jj ) + |
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264 | tmask(ji,jj,jk) * & |
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265 | ( (e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj)) * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
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266 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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267 | + (-e2t(ji,jj) / MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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268 | + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1._wp ) & |
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269 | * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) ) * & |
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270 | ( ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
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271 | ( pu(ji-1,jj,jk) - pu(ji-1,jj,jk+1) ) * umask(ji-1,jj,jk+1) + & |
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272 | ! +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
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273 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
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274 | ( pu(ji-1,jj,jk) - pu(ji-1,jj,jk+1) ) * umask(ji-1,jj,jk+1) & |
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275 | ) ) + & |
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276 | ! ------------- zjuf (ji ,jj) - |
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277 | fmask(ji,jj,jk) * & |
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278 | ( (e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) ) * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
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279 | ! + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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280 | + (-e1f(ji,jj) /MAX(umask(ji,jj+1,jk)+umask(ji,jj,jk+1) & |
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281 | + umask(ji,jj+1,jk+1)+umask(ji,jj,jk), 1. ) & |
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282 | * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) ) * & |
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283 | ( & |
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284 | ( pu(ji,jj+1,jk) - pu(ji,jj+1,jk+1) ) * umask(ji,jj+1,jk+1) & |
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285 | + ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj ,jk+1) & |
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286 | ! +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
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287 | + ( pu(ji,jj+1,jk) - pu(ji,jj+1,jk+1) ) * umask(ji,jj+1,jk+1) & |
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288 | + ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj,jk+1) & |
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289 | ) ) - & |
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290 | ! ------------- zjuf (ji,jj-1) |
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291 | fmask(ji,jj-1,jk) * & |
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292 | ( (e1f(ji,jj-1) * fse3f(ji,jj-1,jk) / e2f(ji,jj-1) ) * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
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293 | ! + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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294 | + (-e1f(ji,jj-1) /MAX(umask(ji,jj,jk)+umask(ji,jj-1,jk+1) & |
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295 | + umask(ji,jj,jk+1)+umask(ji,jj-1,jk), 1. ) & |
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296 | * 0.5 * ( vslp(ji+1,jj-1,jk) + vslp(ji,jj-1,jk) ) ) * & |
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297 | ( & |
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298 | ( pu(ji,jj,jk) - pu(ji,jj,jk+1) ) * umask(ji,jj,jk+1) & |
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299 | + ( pu(ji,jj-1 ,jk) - pu(ji,jj-1 ,jk+1) ) * umask(ji,jj-1 ,jk+1) & |
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300 | ! +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
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301 | + ( pu(ji,jj,jk) - pu(ji,jj,jk+1) ) * umask(ji,jj,jk+1) & |
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302 | + ( pu(ji,jj-1 ,jk) - pu(ji,jj-1 ,jk+1) ) * umask(ji,jj-1,jk+1) & |
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303 | ) ) |
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304 | |
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305 | |
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306 | plv(ji,jj,jk) = & |
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307 | ! ------------- zivf (ji,jj ) - |
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308 | fmask(ji,jj,jk) * & |
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309 | ( (e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj)) * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
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310 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
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311 | + ((-e2f(ji,jj) / MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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312 | + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. )) & |
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313 | * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) )) * ( & |
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314 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
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315 | ( pu(ji+1,jj,jk) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) + & |
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316 | ! +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
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317 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
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318 | ( pu(ji+1,jj,jk) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) & |
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319 | ) ) - & |
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320 | ! ------------- zivf (ji-1,jj) + |
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321 | fmask(ji-1,jj,jk) * & |
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322 | ( (e2f(ji-1,jj) * fse3f(ji-1,jj,jk) / e1f(ji-1,jj)) * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
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323 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
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324 | + ((-e2f(ji-1,jj) / MAX( vmask(ji,jj,jk )+vmask(ji-1,jj,jk+1) & |
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325 | + vmask(ji,jj,jk+1)+vmask(ji-1,jj,jk ), 1. )) & |
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326 | * 0.5 * ( uslp(ji-1,jj+1,jk) + uslp(ji-1,jj,jk) )) * ( & |
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327 | ( pu(ji-1,jj,jk) - pu(ji-1,jj,jk+1) ) * umask(ji-1,jj,jk+1) + & |
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328 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
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329 | ! +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
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330 | ( pu(ji-1,jj,jk) - pu(ji-1,jj,jk+1) ) * umask(ji-1,jj,jk+1) + & |
---|
331 | ( pu(ji ,jj,jk) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) & |
---|
332 | ) ) + & |
---|
333 | ! ------------- zjvt (ji,jj+1) - |
---|
334 | tmask(ji,jj+1,jk) * & |
---|
335 | ( (e1t(ji,jj+1) * fse3t(ji,jj+1,jk) / e2t(ji,jj+1)) * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
---|
336 | ! + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
---|
337 | + ((-e1t(ji,jj+1)/MAX( vmask(ji,jj,jk )+vmask(ji,jj+1,jk+1) & |
---|
338 | + vmask(ji,jj,jk+1)+vmask(ji,jj+1,jk ), 1. ) ) & |
---|
339 | * 0.5 * ( vslp(ji,jj,jk) + vslp(ji,jj+1,jk) )) * ( & |
---|
340 | ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj ,jk+1) + & |
---|
341 | ( pu(ji,jj+1,jk) - pu(ji,jj+1,jk+1) ) * umask(ji,jj+1,jk+1) + & |
---|
342 | ! +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
---|
343 | ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj ,jk+1) + & |
---|
344 | ( pu(ji,jj+1,jk) - pu(ji,jj+1,jk+1) ) * umask(ji,jj+1,jk+1) & |
---|
345 | ) ) - & |
---|
346 | ! ------------- zjvt (ji,jj ) |
---|
347 | tmask(ji,jj,jk) * & |
---|
348 | ( (e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj)) * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
---|
349 | ! + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
---|
350 | + ((-e1t(ji,jj)/MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
---|
351 | + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) ) & |
---|
352 | * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) )) * ( & |
---|
353 | ( pu(ji,jj-1,jk) - pu(ji,jj-1,jk+1) ) * umask(ji,jj-1,jk+1) + & |
---|
354 | ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
355 | ! +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
---|
356 | ( pu(ji,jj-1,jk) - pu(ji,jj-1,jk+1) ) * umask(ji,jj-1,jk+1) + & |
---|
357 | ( pu(ji,jj ,jk) - pu(ji,jj ,jk+1) ) * umask(ji,jj,jk+1) & |
---|
358 | ) ) |
---|
359 | |
---|
360 | |
---|
361 | DO jk = 2, mbkmax(ji,jj)-1 ! jpkm1 |
---|
362 | |
---|
363 | ! plu(ji,jj,jk) = ziut (ji+1,jj) - & |
---|
364 | ! ziut (ji,jj ) + & |
---|
365 | ! zjuf (ji ,jj) - & |
---|
366 | ! zjuf (ji,jj-1) |
---|
367 | plu(ji,jj,jk) = & |
---|
368 | ! ------------- ziut (ji+1, jj ) - |
---|
369 | tmask(ji+1,jj,jk) * & |
---|
370 | ( (e2t(ji+1,jj) * fse3t(ji+1,jj,jk) / e1t(ji+1,jj)) * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
---|
371 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
---|
372 | + (-e2t(ji+1,jj) / MAX(umask(ji,jj,jk)+umask(ji+1,jj,jk+1) & |
---|
373 | + umask(ji,jj,jk+1)+umask(ji+1,jj,jk), 1._wp ) & |
---|
374 | * 0.5 * ( uslp(ji,jj,jk) + uslp(ji+1,jj,jk) ) ) * & |
---|
375 | ( ( pu(ji+1,jj,jk-1) - pu(ji+1,jj,jk ) ) * umask(ji+1,jj,jk) + & |
---|
376 | ( pu(ji ,jj,jk ) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
---|
377 | ! +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
---|
378 | ( pu(ji+1,jj,jk ) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) + & |
---|
379 | ( pu(ji ,jj,jk-1) - pu(ji ,jj,jk ) ) * umask(ji ,jj,jk) & |
---|
380 | ) ) - & |
---|
381 | ! ------------- ziut (ji , jj ) + |
---|
382 | tmask(ji,jj,jk) * & |
---|
383 | ( (e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj)) * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
---|
384 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
---|
385 | + (-e2t(ji,jj) / MAX(umask(ji-1,jj,jk)+umask(ji,jj,jk+1) & |
---|
386 | + umask(ji-1,jj,jk+1)+umask(ji,jj,jk), 1._wp ) & |
---|
387 | * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) ) * & |
---|
388 | ( ( pu(ji ,jj,jk-1) - pu(ji ,jj,jk ) ) * umask(ji,jj,jk) + & |
---|
389 | ( pu(ji-1,jj,jk ) - pu(ji-1,jj,jk+1) ) * umask(ji-1,jj,jk+1) + & |
---|
390 | ! +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
---|
391 | ( pu(ji ,jj,jk ) - pu(ji ,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
392 | ( pu(ji-1,jj,jk-1) - pu(ji-1,jj,jk ) ) * umask(ji-1,jj,jk) & |
---|
393 | ) ) + & |
---|
394 | ! ------------- zjuf (ji , jj ) - |
---|
395 | fmask(ji,jj,jk) * & |
---|
396 | ( (e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) ) * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
---|
397 | ! + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
---|
398 | + (-e1f(ji,jj) /MAX(umask(ji,jj+1,jk)+umask(ji,jj,jk+1) & |
---|
399 | + umask(ji,jj+1,jk+1)+umask(ji,jj,jk), 1. ) & |
---|
400 | * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) ) * & |
---|
401 | ( & |
---|
402 | (pu(ji,jj+1,jk-1) - pu(ji,jj+1,jk ) ) * umask(ji,jj+1,jk) + & |
---|
403 | (pu(ji,jj ,jk ) - pu(ji,jj ,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
404 | ! +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
---|
405 | (pu(ji,jj+1,jk ) - pu(ji,jj+1,jk+1) ) * umask(ji,jj+1,jk+1) + & |
---|
406 | (pu(ji,jj ,jk-1) - pu(ji,jj ,jk ) ) * umask(ji,jj,jk) & |
---|
407 | ) ) - & |
---|
408 | ! ------------- zjuf (ji , jj-1) |
---|
409 | fmask(ji,jj-1,jk) * & |
---|
410 | ( (e1f(ji,jj-1) * fse3f(ji,jj-1,jk) / e2f(ji,jj-1) ) * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
---|
411 | ! + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
---|
412 | + (-e1f(ji,jj-1) /MAX(umask(ji,jj,jk)+umask(ji,jj-1,jk+1) & |
---|
413 | + umask(ji,jj,jk+1)+umask(ji,jj-1,jk), 1. ) & |
---|
414 | * 0.5 * ( vslp(ji+1,jj-1,jk) + vslp(ji,jj-1,jk) ) ) * & |
---|
415 | ( & |
---|
416 | (pu(ji,jj,jk-1) - pu(ji,jj,jk ) ) * umask(ji,jj,jk) + & |
---|
417 | (pu(ji,jj-1,jk ) - pu(ji,jj-1,jk+1) ) * umask(ji,jj-1,jk+1) + & |
---|
418 | ! +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
---|
419 | (pu(ji,jj,jk ) - pu(ji,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
420 | (pu(ji,jj-1,jk-1) - pu(ji,jj-1 ,jk ) ) * umask(ji,jj-1,jk) & |
---|
421 | ) ) |
---|
422 | |
---|
423 | |
---|
424 | ! plv(ji,jj,jk) = zivf (ji,jj ) - & |
---|
425 | ! zivf (ji-1,jj) + & |
---|
426 | ! zjvt (ji,jj+1) - & |
---|
427 | ! zjvt (ji,jj ) |
---|
428 | plv(ji,jj,jk) = & |
---|
429 | ! ------------- zivf (ji,jj ) - |
---|
430 | fmask(ji,jj,jk) * & |
---|
431 | ( (e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj)) * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
---|
432 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
---|
433 | + ((-e2f(ji,jj) / MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
---|
434 | + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. )) & |
---|
435 | * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) )) * ( & |
---|
436 | ( pu(ji ,jj,jk-1) - pu(ji ,jj,jk ) ) * umask(ji ,jj,jk ) + & |
---|
437 | ( pu(ji+1,jj,jk ) - pu(ji+1,jj,jk+1) ) * umask(ji+1,jj,jk+1) + & |
---|
438 | ! +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
---|
439 | ( pu(ji ,jj,jk ) - pu(ji ,jj,jk+1) ) * umask(ji ,jj,jk+1) + & |
---|
440 | ( pu(ji+1,jj,jk-1) - pu(ji+1,jj,jk ) ) * umask(ji+1,jj,jk ) & |
---|
441 | ) ) - & |
---|
442 | ! ------------- zivf (ji-1,jj) + |
---|
443 | fmask(ji-1,jj,jk) * & |
---|
444 | ( (e2f(ji-1,jj) * fse3f(ji-1,jj,jk) / e1f(ji-1,jj)) * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
---|
445 | ! + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
---|
446 | + ((-e2f(ji-1,jj) / MAX( vmask(ji,jj,jk )+vmask(ji-1,jj,jk+1) & |
---|
447 | + vmask(ji,jj,jk+1)+vmask(ji-1,jj,jk ), 1. )) & |
---|
448 | * 0.5 * ( uslp(ji-1,jj+1,jk) + uslp(ji-1,jj,jk) )) * ( & |
---|
449 | ( pu(ji-1 ,jj,jk-1) - pu(ji-1 ,jj,jk ) ) * umask(ji-1 ,jj,jk ) + & |
---|
450 | ( pu(ji,jj,jk ) - pu(ji,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
451 | ! +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
---|
452 | ( pu(ji-1 ,jj,jk ) - pu(ji-1 ,jj,jk+1) ) * umask(ji-1 ,jj,jk+1) + & |
---|
453 | ( pu(ji,jj,jk-1) - pu(ji,jj,jk ) ) * umask(ji,jj,jk ) & |
---|
454 | ) ) + & |
---|
455 | ! ------------- zjvt (ji,jj+1) - |
---|
456 | tmask(ji,jj+1,jk) * & |
---|
457 | ( (e1t(ji,jj+1) * fse3t(ji,jj+1,jk) / e2t(ji,jj+1)) * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
---|
458 | ! + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
---|
459 | + ((-e1t(ji,jj+1)/MAX( vmask(ji,jj,jk )+vmask(ji,jj+1,jk+1) & |
---|
460 | + vmask(ji,jj,jk+1)+vmask(ji,jj+1,jk ), 1. ) ) & |
---|
461 | * 0.5 * ( vslp(ji,jj,jk) + vslp(ji,jj+1,jk) )) * & |
---|
462 | ( & |
---|
463 | ( pu(ji,jj,jk-1) - pu(ji,jj,jk ) ) * umask(ji,jj,jk) + & |
---|
464 | ( pu(ji,jj+1 ,jk ) - pu(ji,jj+1 ,jk+1) ) * umask(ji,jj+1,jk+1) + & |
---|
465 | ! +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
---|
466 | ( pu(ji,jj,jk ) - pu(ji,jj,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
467 | ( pu(ji,jj+1 ,jk-1) - pu(ji,jj+1 ,jk ) ) * umask(ji,jj+1,jk) & |
---|
468 | ) ) - & |
---|
469 | ! ------------- zjvt (ji,jj ) |
---|
470 | tmask(ji,jj,jk) * & |
---|
471 | ( (e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj)) * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
---|
472 | ! + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
---|
473 | + ((-e1t(ji,jj)/MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
---|
474 | + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) ) & |
---|
475 | * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) )) * & |
---|
476 | ( & |
---|
477 | ( pu(ji,jj-1,jk-1) - pu(ji,jj-1,jk ) ) * umask(ji,jj-1,jk) + & |
---|
478 | ( pu(ji,jj ,jk ) - pu(ji,jj ,jk+1) ) * umask(ji,jj,jk+1) + & |
---|
479 | ! +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
---|
480 | ( pu(ji,jj-1,jk ) - pu(ji,jj-1,jk+1) ) * umask(ji,jj-1,jk+1) + & |
---|
481 | ( pu(ji,jj ,jk-1) - pu(ji,jj ,jk ) ) * umask(ji,jj,jk) ) ) |
---|
482 | |
---|
483 | END DO |
---|
484 | END DO |
---|
485 | |
---|
486 | ! |
---|
487 | END DO |
---|
488 | |
---|
489 | #else |
---|
490 | ! ! ********** ! ! =============== |
---|
491 | DO jk = 1, jpkm1 ! First step ! ! Horizontal slab |
---|
492 | ! ! ********** ! ! =============== |
---|
493 | |
---|
494 | ! I.1 Vertical gradient of pu and pv at level jk and jk+1 |
---|
495 | ! ------------------------------------------------------- |
---|
496 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
---|
497 | ! zdkv(jk=1)=zdkv(jk=2) |
---|
498 | |
---|
499 | zdk1u(:,:) = ( pu(:,:,jk) - pu(:,:,jk+1) ) * umask(:,:,jk+1) |
---|
500 | zdk1v(:,:) = ( pv(:,:,jk) - pv(:,:,jk+1) ) * vmask(:,:,jk+1) |
---|
501 | |
---|
502 | IF( jk == 1 ) THEN |
---|
503 | zdku(:,:) = zdk1u(:,:) |
---|
504 | zdkv(:,:) = zdk1v(:,:) |
---|
505 | ELSE |
---|
506 | zdku(:,:) = ( pu(:,:,jk-1) - pu(:,:,jk) ) * umask(:,:,jk) |
---|
507 | zdkv(:,:) = ( pv(:,:,jk-1) - pv(:,:,jk) ) * vmask(:,:,jk) |
---|
508 | ENDIF |
---|
509 | |
---|
510 | ! -----f----- |
---|
511 | ! I.2 Horizontal fluxes on U | |
---|
512 | ! ------------------------=== t u t |
---|
513 | ! | |
---|
514 | ! i-flux at t-point -----f----- |
---|
515 | DO jj = 1, jpjm1 |
---|
516 | DO ji = 2, jpi |
---|
517 | zabe1 = e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj) |
---|
518 | |
---|
519 | zmkt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
---|
520 | + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) |
---|
521 | |
---|
522 | zcof1 = -e2t(ji,jj) * zmkt & |
---|
523 | * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
---|
524 | |
---|
525 | ziut(ji,jj) = tmask(ji,jj,jk) * & |
---|
526 | ( zabe1 * ( pu(ji,jj,jk) - pu(ji-1,jj,jk) ) & |
---|
527 | + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
---|
528 | +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) |
---|
529 | END DO |
---|
530 | END DO |
---|
531 | |
---|
532 | ! j-flux at f-point |
---|
533 | DO jj = 1, jpjm1 |
---|
534 | DO ji = 1, jpim1 |
---|
535 | zabe2 = e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) |
---|
536 | |
---|
537 | zmkf = 1./MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
---|
538 | + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ), 1. ) |
---|
539 | |
---|
540 | zcof2 = -e1f(ji,jj) * zmkf & |
---|
541 | * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
---|
542 | |
---|
543 | zjuf(ji,jj) = fmask(ji,jj,jk) * & |
---|
544 | ( zabe2 * ( pu(ji,jj+1,jk) - pu(ji,jj,jk) ) & |
---|
545 | + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
---|
546 | +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) |
---|
547 | END DO |
---|
548 | END DO |
---|
549 | |
---|
550 | ! | t | |
---|
551 | ! I.3 Horizontal fluxes on V | | |
---|
552 | ! ------------------------=== f---v---f |
---|
553 | ! | | |
---|
554 | ! i-flux at f-point | t | |
---|
555 | DO jj = 1, jpjm1 |
---|
556 | DO ji = 1, jpim1 |
---|
557 | zabe1 = e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj) |
---|
558 | |
---|
559 | zmkf = 1./MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
---|
560 | + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. ) |
---|
561 | |
---|
562 | zcof1 = -e2f(ji,jj) * zmkf & |
---|
563 | * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
---|
564 | |
---|
565 | zivf(ji,jj) = fmask(ji,jj,jk) * & |
---|
566 | ( zabe1 * ( pu(ji+1,jj,jk) - pu(ji,jj,jk) ) & |
---|
567 | + zcof1 * ( zdku (ji,jj) + zdk1u(ji+1,jj) & |
---|
568 | +zdk1u(ji,jj) + zdku (ji+1,jj) ) ) |
---|
569 | END DO |
---|
570 | END DO |
---|
571 | |
---|
572 | ! j-flux at t-point |
---|
573 | DO jj = 2, jpj |
---|
574 | DO ji = 1, jpim1 |
---|
575 | zabe2 = e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj) |
---|
576 | |
---|
577 | zmkt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
---|
578 | + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
---|
579 | |
---|
580 | zcof2 = -e1t(ji,jj) * zmkt & |
---|
581 | * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
---|
582 | |
---|
583 | zjvt(ji,jj) = tmask(ji,jj,jk) * & |
---|
584 | ( zabe2 * ( pu(ji,jj,jk) - pu(ji,jj-1,jk) ) & |
---|
585 | + zcof2 * ( zdku (ji,jj-1) + zdk1u(ji,jj) & |
---|
586 | +zdk1u(ji,jj-1) + zdku (ji,jj) ) ) |
---|
587 | END DO |
---|
588 | END DO |
---|
589 | |
---|
590 | |
---|
591 | ! I.4 Second derivative (divergence) (not divided by the volume) |
---|
592 | ! --------------------- |
---|
593 | |
---|
594 | DO jj = 2, jpjm1 |
---|
595 | DO ji = 2, jpim1 |
---|
596 | plu(ji,jj,jk) = ziut (ji+1,jj) - ziut (ji,jj ) & |
---|
597 | + zjuf (ji ,jj) - zjuf (ji,jj-1) |
---|
598 | plv(ji,jj,jk) = zivf (ji,jj ) - zivf (ji-1,jj) & |
---|
599 | + zjvt (ji,jj+1) - zjvt (ji,jj ) |
---|
600 | END DO |
---|
601 | END DO |
---|
602 | |
---|
603 | ! ! =============== |
---|
604 | END DO ! End of slab |
---|
605 | ! ! =============== |
---|
606 | #endif |
---|
607 | CALL timing_stop('ldfguv_1st','section') |
---|
608 | |
---|
609 | !,,,,,,,,,,,,,,,,,,,,,,,,,,,,,synchro,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, |
---|
610 | |
---|
611 | CALL timing_start('ldfguv_2nd') |
---|
612 | ! ! ************ ! ! =============== |
---|
613 | DO jj = 2, jpjm1 ! Second step ! ! Horizontal slab |
---|
614 | ! ! ************ ! ! =============== |
---|
615 | |
---|
616 | ! II.1 horizontal (pu,pv) gradients |
---|
617 | ! --------------------------------- |
---|
618 | |
---|
619 | #if defined key_z_first |
---|
620 | DO ji = 2, jpi |
---|
621 | DO jk = 1, mbkmax(ji,jj) ! jpk |
---|
622 | ! i-gradient of u at jj |
---|
623 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( pu(ji,jj ,jk) - pu(ji-1,jj ,jk) ) |
---|
624 | ! j-gradient of u and v at jj |
---|
625 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( pu(ji,jj+1,jk) - pu(ji ,jj ,jk) ) |
---|
626 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( pv(ji,jj ,jk) - pv(ji ,jj-1,jk) ) |
---|
627 | ! j-gradient of u and v at jj+1 |
---|
628 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( pu(ji,jj ,jk) - pu(ji ,jj-1,jk) ) |
---|
629 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( pv(ji,jj+1,jk) - pv(ji ,jj ,jk) ) |
---|
630 | END DO |
---|
631 | END DO |
---|
632 | DO ji = 1, jpim1 |
---|
633 | DO jk = 1, mbkmax(ji,jj) ! jpk |
---|
634 | ! i-gradient of v at jj |
---|
635 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( pv(ji+1,jj,jk) - pv(ji ,jj ,jk) ) |
---|
636 | END DO |
---|
637 | END DO |
---|
638 | #else |
---|
639 | DO jk = 1, jpk |
---|
640 | DO ji = 2, jpi |
---|
641 | ! i-gradient of u at jj |
---|
642 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( pu(ji,jj ,jk) - pu(ji-1,jj ,jk) ) |
---|
643 | ! j-gradient of u and v at jj |
---|
644 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( pu(ji,jj+1,jk) - pu(ji ,jj ,jk) ) |
---|
645 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( pv(ji,jj ,jk) - pv(ji ,jj-1,jk) ) |
---|
646 | ! j-gradient of u and v at jj+1 |
---|
647 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( pu(ji,jj ,jk) - pu(ji ,jj-1,jk) ) |
---|
648 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( pv(ji,jj+1,jk) - pv(ji ,jj ,jk) ) |
---|
649 | END DO |
---|
650 | END DO |
---|
651 | DO jk = 1, jpk |
---|
652 | DO ji = 1, jpim1 |
---|
653 | ! i-gradient of v at jj |
---|
654 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( pv(ji+1,jj,jk) - pv(ji ,jj ,jk) ) |
---|
655 | END DO |
---|
656 | END DO |
---|
657 | #endif |
---|
658 | |
---|
659 | ! II.2 Vertical fluxes |
---|
660 | ! -------------------- |
---|
661 | |
---|
662 | ! Surface and bottom vertical fluxes set to zero |
---|
663 | |
---|
664 | #if defined key_z_first |
---|
665 | DO ji=1, jpi |
---|
666 | zfuw(ji, 1 ) = 0.e0 |
---|
667 | zfvw(ji, 1 ) = 0.e0 |
---|
668 | zfuw(ji,mbkmax(ji,jj):jpk) = 0.e0 |
---|
669 | zfvw(ji,mbkmax(ji,jj):jpk) = 0.e0 |
---|
670 | END DO |
---|
671 | #else |
---|
672 | zfuw(:, 1 ) = 0.e0 |
---|
673 | zfvw(:, 1 ) = 0.e0 |
---|
674 | zfuw(:,jpk) = 0.e0 |
---|
675 | zfvw(:,jpk) = 0.e0 |
---|
676 | #endif |
---|
677 | ! interior (2=<jk=<jpk-1) on pu field |
---|
678 | |
---|
679 | #if defined key_z_first |
---|
680 | DO ji = 2, jpim1 |
---|
681 | DO jk = 2, mbkmax(ji,jj)-1 ! jpkm1 |
---|
682 | #else |
---|
683 | DO jk = 2, jpkm1 |
---|
684 | DO ji = 2, jpim1 |
---|
685 | #endif |
---|
686 | ! i- and j-slopes at uw-point |
---|
687 | zuwslpi = 0.5 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
---|
688 | zuwslpj = 0.5 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
---|
689 | ! coef. for the vertical dirative |
---|
690 | zcoef0 = e1u(ji,jj) * e2u(ji,jj) / fse3u(ji,jj,jk) & |
---|
691 | * ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) |
---|
692 | ! weights for the i-k, j-k averaging at t- and f-points, resp. |
---|
693 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
---|
694 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ), 1. ) |
---|
695 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1)+fmask(ji,jj,jk-1) & |
---|
696 | + fmask(ji,jj-1,jk )+fmask(ji,jj,jk ), 1. ) |
---|
697 | ! coef. for the horitontal derivative |
---|
698 | zcoef3 = - e2u(ji,jj) * zmkt * zuwslpi |
---|
699 | zcoef4 = - e1u(ji,jj) * zmkf * zuwslpj |
---|
700 | ! vertical flux on u field |
---|
701 | zfuw(ji,jk) = umask(ji,jj,jk) * & |
---|
702 | ( zcoef0 * ( pu (ji,jj,jk-1) - pu (ji,jj,jk) ) & |
---|
703 | + zcoef3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
---|
704 | +zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
---|
705 | + zcoef4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
---|
706 | +zdj1u(ji,jk ) + zdju (ji ,jk ) ) ) |
---|
707 | END DO |
---|
708 | END DO |
---|
709 | |
---|
710 | ! interior (2=<jk=<jpk-1) on pv field |
---|
711 | |
---|
712 | #if defined key_z_first |
---|
713 | DO ji = 2, jpim1 |
---|
714 | DO jk = 2, mbkmax(ji,jj)-1 ! jpkm1 |
---|
715 | #else |
---|
716 | DO jk = 2, jpkm1 |
---|
717 | DO ji = 2, jpim1 |
---|
718 | #endif |
---|
719 | ! i- and j-slopes at vw-point |
---|
720 | zvwslpi = 0.5 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
---|
721 | zvwslpj = 0.5 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
---|
722 | ! coef. for the vertical derivative |
---|
723 | zcoef0 = e1v(ji,jj) * e2v(ji,jj) / fse3v(ji,jj,jk) & |
---|
724 | * ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) |
---|
725 | ! weights for the i-k, j-k averaging at f- and t-points, resp. |
---|
726 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
---|
727 | + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ), 1. ) |
---|
728 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
---|
729 | + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ), 1. ) |
---|
730 | ! coef. for the horizontal derivatives |
---|
731 | zcoef3 = - e2v(ji,jj) * zmkf * zvwslpi |
---|
732 | zcoef4 = - e1v(ji,jj) * zmkt * zvwslpj |
---|
733 | ! vertical flux on pv field |
---|
734 | zfvw(ji,jk) = vmask(ji,jj,jk) * & |
---|
735 | ( zcoef0 * ( pv (ji,jj,jk-1) - pv (ji,jj,jk) ) & |
---|
736 | + zcoef3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
---|
737 | +zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
---|
738 | + zcoef4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
---|
739 | +zdjv (ji,jk ) + zdj1v(ji ,jk ) ) ) |
---|
740 | END DO |
---|
741 | END DO |
---|
742 | |
---|
743 | |
---|
744 | ! II.3 Divergence of vertical fluxes added to the horizontal divergence |
---|
745 | ! --------------------------------------------------------------------- |
---|
746 | |
---|
747 | IF( kahm == 1 ) THEN |
---|
748 | ! multiply the laplacian by the eddy viscosity coefficient |
---|
749 | #if defined key_z_first |
---|
750 | DO ji = 2, jpim1 |
---|
751 | DO jk = 1, mbkmax(ji,jj)-1 ! jpkm1 |
---|
752 | #else |
---|
753 | DO jk = 1, jpkm1 |
---|
754 | DO ji = 2, jpim1 |
---|
755 | #endif |
---|
756 | ! eddy coef. divided by the volume element |
---|
757 | zbur = fsahmu(ji,jj,jk) / ( e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) |
---|
758 | zbvr = fsahmv(ji,jj,jk) / ( e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) |
---|
759 | ! vertical divergence |
---|
760 | zuav = zfuw(ji,jk) - zfuw(ji,jk+1) |
---|
761 | zvav = zfvw(ji,jk) - zfvw(ji,jk+1) |
---|
762 | ! harmonic operator applied to (pu,pv) and multiply by ahm |
---|
763 | plu(ji,jj,jk) = ( plu(ji,jj,jk) + zuav ) * zbur |
---|
764 | plv(ji,jj,jk) = ( plv(ji,jj,jk) + zvav ) * zbvr |
---|
765 | END DO |
---|
766 | END DO |
---|
767 | ELSEIF( kahm == 2 ) THEN |
---|
768 | ! second call, no multiplication |
---|
769 | #if defined key_z_first |
---|
770 | DO ji = 2, jpim1 |
---|
771 | DO jk = 1, mbkmax(ji,jj)-1 ! jpkm1 |
---|
772 | #else |
---|
773 | DO jk = 1, jpkm1 |
---|
774 | DO ji = 2, jpim1 |
---|
775 | #endif |
---|
776 | ! inverse of the volume element |
---|
777 | zbur = 1. / ( e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) ) |
---|
778 | zbvr = 1. / ( e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) ) |
---|
779 | ! vertical divergence |
---|
780 | zuav = zfuw(ji,jk) - zfuw(ji,jk+1) |
---|
781 | zvav = zfvw(ji,jk) - zfvw(ji,jk+1) |
---|
782 | ! harmonic operator applied to (pu,pv) |
---|
783 | plu(ji,jj,jk) = ( plu(ji,jj,jk) + zuav ) * zbur |
---|
784 | plv(ji,jj,jk) = ( plv(ji,jj,jk) + zvav ) * zbvr |
---|
785 | END DO |
---|
786 | END DO |
---|
787 | ELSE |
---|
788 | IF(lwp)WRITE(numout,*) ' ldfguv: kahm= 1 or 2, here =', kahm |
---|
789 | IF(lwp)WRITE(numout,*) ' We stop' |
---|
790 | STOP 'ldfguv' |
---|
791 | ENDIF |
---|
792 | ! ! =============== |
---|
793 | END DO ! End of slab |
---|
794 | ! ! =============== |
---|
795 | CALL timing_stop('ldfguv_2nd','section') |
---|
796 | |
---|
797 | IF( wrk_not_released(2, 1,2,3,4,5,6,7,8) ) CALL ctl_stop('dyn:ldfguv: failed to release workspace arrays') |
---|
798 | ! |
---|
799 | CALL timing_stop('ldfguv','section') |
---|
800 | |
---|
801 | END SUBROUTINE ldfguv |
---|
802 | |
---|
803 | #else |
---|
804 | !!---------------------------------------------------------------------- |
---|
805 | !! Dummy module : NO rotation of mixing tensor |
---|
806 | !!---------------------------------------------------------------------- |
---|
807 | CONTAINS |
---|
808 | SUBROUTINE dyn_ldf_bilapg( kt ) ! Dummy routine |
---|
809 | INTEGER, INTENT(in) :: kt |
---|
810 | WRITE(*,*) 'dyn_ldf_bilapg: You should not have seen this print! error?', kt |
---|
811 | END SUBROUTINE dyn_ldf_bilapg |
---|
812 | #endif |
---|
813 | |
---|
814 | !!====================================================================== |
---|
815 | END MODULE dynldf_bilapg |
---|