1 | MODULE dynldf_iso |
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2 | !!====================================================================== |
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3 | !! *** MODULE dynldf_iso *** |
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4 | !! Ocean dynamics: lateral viscosity trend (rotated laplacian operator) |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 97-07 (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 | !! - ! 2004-08 (C. Talandier) New trends organization |
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9 | !! 2.0 ! 2005-11 (G. Madec) s-coordinate: horizontal diffusion |
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10 | !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, |
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11 | !! ! add velocity dependent coefficient and optional read in file |
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12 | !!---------------------------------------------------------------------- |
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13 | |
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14 | !!---------------------------------------------------------------------- |
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15 | !! dyn_ldf_iso : update the momentum trend with the horizontal part |
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16 | !! of the lateral diffusion using isopycnal or horizon- |
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17 | !! tal s-coordinate laplacian operator. |
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18 | !!---------------------------------------------------------------------- |
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19 | USE oce ! ocean dynamics and tracers |
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20 | USE dom_oce ! ocean space and time domain |
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21 | USE ldfdyn ! lateral diffusion: eddy viscosity coef. |
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22 | USE ldftra ! lateral physics: eddy diffusivity |
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23 | USE zdf_oce ! ocean vertical physics |
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24 | USE ldfslp ! iso-neutral slopes |
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25 | ! |
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26 | USE in_out_manager ! I/O manager |
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27 | USE lib_mpp ! MPP library |
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28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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29 | USE prtctl ! Print control |
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30 | USE wrk_nemo ! Memory Allocation |
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31 | USE timing ! Timing |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | PUBLIC dyn_ldf_iso ! called by step.F90 |
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37 | PUBLIC dyn_ldf_iso_alloc ! called by nemogcm.F90 |
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38 | |
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39 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfuw, zdiu, zdju, zdj1u ! 2D workspace (dyn_ldf_iso) |
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40 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfvw, zdiv, zdjv, zdj1v ! - - |
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41 | |
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42 | !! * Substitutions |
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43 | # include "domzgr_substitute.h90" |
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44 | # include "vectopt_loop_substitute.h90" |
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45 | !!---------------------------------------------------------------------- |
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46 | !! NEMO/OPA 3.3 , NEMO Consortium (2011) |
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47 | !! $Id$ |
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48 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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49 | !!---------------------------------------------------------------------- |
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50 | CONTAINS |
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51 | |
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52 | INTEGER FUNCTION dyn_ldf_iso_alloc() |
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53 | !!---------------------------------------------------------------------- |
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54 | !! *** ROUTINE dyn_ldf_iso_alloc *** |
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55 | !!---------------------------------------------------------------------- |
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56 | ALLOCATE( zfuw(jpi,jpk) , zdiu(jpi,jpk) , zdju(jpi,jpk) , zdj1u(jpi,jpk) , & |
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57 | & zfvw(jpi,jpk) , zdiv(jpi,jpk) , zdjv(jpi,jpk) , zdj1v(jpi,jpk) , STAT=dyn_ldf_iso_alloc ) |
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58 | ! |
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59 | IF( dyn_ldf_iso_alloc /= 0 ) CALL ctl_warn('dyn_ldf_iso_alloc: array allocate failed.') |
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60 | END FUNCTION dyn_ldf_iso_alloc |
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61 | |
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62 | |
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63 | SUBROUTINE dyn_ldf_iso( kt ) |
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64 | !!---------------------------------------------------------------------- |
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65 | !! *** ROUTINE dyn_ldf_iso *** |
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66 | !! |
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67 | !! ** Purpose : Compute the before trend of the rotated laplacian |
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68 | !! operator of lateral momentum diffusion except the diagonal |
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69 | !! vertical term that will be computed in dynzdf module. Add it |
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70 | !! to the general trend of momentum equation. |
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71 | !! |
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72 | !! ** Method : |
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73 | !! The momentum lateral diffusive trend is provided by a 2nd |
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74 | !! order operator rotated along neutral or geopotential surfaces |
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75 | !! (in s-coordinates). |
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76 | !! It is computed using before fields (forward in time) and isopyc- |
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77 | !! nal or geopotential slopes computed in routine ldfslp. |
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78 | !! Here, u and v components are considered as 2 independent scalar |
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79 | !! fields. Therefore, the property of splitting divergent and rota- |
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80 | !! tional part of the flow of the standard, z-coordinate laplacian |
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81 | !! momentum diffusion is lost. |
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82 | !! horizontal fluxes associated with the rotated lateral mixing: |
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83 | !! u-component: |
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84 | !! ziut = ( ahmt + rn_ahm_b ) e2t * e3t / e1t di[ ub ] |
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85 | !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(ub)) ] |
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86 | !! zjuf = ( ahmf + rn_ahm_b ) e1f * e3f / e2f dj[ ub ] |
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87 | !! - ahmf e1f * mi(vslp) dk[ mj(mk(ub)) ] |
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88 | !! v-component: |
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89 | !! zivf = ( ahmf + rn_ahm_b ) e2t * e3t / e1t di[ vb ] |
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90 | !! - ahmf e2t * mj(uslp) dk[ mi(mk(vb)) ] |
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91 | !! zjvt = ( ahmt + rn_ahm_b ) e1f * e3f / e2f dj[ ub ] |
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92 | !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vb)) ] |
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93 | !! take the horizontal divergence of the fluxes: |
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94 | !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } |
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95 | !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } |
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96 | !! Add this trend to the general trend (ua,va): |
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97 | !! ua = ua + diffu |
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98 | !! CAUTION: here the isopycnal part is with a coeff. of aht. This |
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99 | !! should be modified for applications others than orca_r2 (!!bug) |
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100 | !! |
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101 | !! ** Action : |
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102 | !! Update (ua,va) arrays with the before geopotential biharmonic |
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103 | !! mixing trend. |
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104 | !! Update (avmu,avmv) to accompt for the diagonal vertical component |
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105 | !! of the rotated operator in dynzdf module |
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106 | !!---------------------------------------------------------------------- |
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107 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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108 | ! |
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109 | INTEGER :: ji, jj, jk ! dummy loop indices |
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110 | REAL(wp) :: zabe1, zabe2, zcof1, zcof2 ! local scalars |
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111 | REAL(wp) :: zmskt, zmskf ! - - |
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112 | REAL(wp) :: zcoef0, zcoef3, zcoef4, zmkt, zmkf ! - - |
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113 | REAL(wp) :: zuav, zvav, zuwslpi, zuwslpj, zvwslpi, zvwslpj ! - - |
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114 | ! |
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115 | REAL(wp), POINTER, DIMENSION(:,:) :: ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v |
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116 | !!---------------------------------------------------------------------- |
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117 | ! |
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118 | IF( nn_timing == 1 ) CALL timing_start('dyn_ldf_iso') |
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119 | ! |
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120 | CALL wrk_alloc( jpi, jpj, ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v ) |
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121 | ! |
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122 | IF( kt == nit000 ) THEN |
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123 | IF(lwp) WRITE(numout,*) |
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124 | IF(lwp) WRITE(numout,*) 'dyn_ldf_iso : iso-neutral laplacian diffusive operator or ' |
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125 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' |
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126 | ! ! allocate dyn_ldf_bilap arrays |
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127 | IF( dyn_ldf_iso_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_iso: failed to allocate arrays') |
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128 | ENDIF |
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129 | |
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130 | !!gm bug is dyn_ldf_iso called before tra_ldf_iso .... <<<<<===== TO BE CHECKED |
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131 | ! s-coordinate: Iso-level diffusion on momentum but not on tracer |
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132 | IF( ln_dynldf_hor .AND. ln_traldf_iso ) THEN |
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133 | ! |
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134 | DO jk = 1, jpk ! set the slopes of iso-level |
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135 | DO jj = 2, jpjm1 |
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136 | DO ji = 2, jpim1 |
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137 | uslp (ji,jj,jk) = - ( fsdept_b(ji+1,jj,jk) - fsdept_b(ji ,jj ,jk) ) * r1_e1u(ji,jj) * umask(ji,jj,jk) |
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138 | vslp (ji,jj,jk) = - ( fsdept_b(ji,jj+1,jk) - fsdept_b(ji ,jj ,jk) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk) |
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139 | wslpi(ji,jj,jk) = - ( fsdepw_b(ji+1,jj,jk) - fsdepw_b(ji-1,jj,jk) ) * r1_e1t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
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140 | wslpj(ji,jj,jk) = - ( fsdepw_b(ji,jj+1,jk) - fsdepw_b(ji,jj-1,jk) ) * r1_e2t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
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141 | END DO |
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142 | END DO |
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143 | END DO |
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144 | ! Lateral boundary conditions on the slopes |
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145 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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146 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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147 | |
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148 | !!bug |
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149 | IF( kt == nit000 ) then |
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150 | IF(lwp) WRITE(numout,*) ' max slop: u', SQRT( MAXVAL(uslp*uslp)), ' v ', SQRT(MAXVAL(vslp)), & |
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151 | & ' wi', sqrt(MAXVAL(wslpi)) , ' wj', sqrt(MAXVAL(wslpj)) |
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152 | endif |
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153 | !!end |
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154 | ENDIF |
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155 | |
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156 | ! ! =============== |
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157 | DO jk = 1, jpkm1 ! Horizontal slab |
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158 | ! ! =============== |
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159 | |
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160 | ! Vertical u- and v-shears at level jk and jk+1 |
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161 | ! --------------------------------------------- |
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162 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
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163 | ! zdkv(jk=1)=zdkv(jk=2) |
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164 | |
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165 | zdk1u(:,:) = ( ub(:,:,jk) -ub(:,:,jk+1) ) * umask(:,:,jk+1) |
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166 | zdk1v(:,:) = ( vb(:,:,jk) -vb(:,:,jk+1) ) * vmask(:,:,jk+1) |
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167 | |
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168 | IF( jk == 1 ) THEN |
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169 | zdku(:,:) = zdk1u(:,:) |
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170 | zdkv(:,:) = zdk1v(:,:) |
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171 | ELSE |
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172 | zdku(:,:) = ( ub(:,:,jk-1) - ub(:,:,jk) ) * umask(:,:,jk) |
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173 | zdkv(:,:) = ( vb(:,:,jk-1) - vb(:,:,jk) ) * vmask(:,:,jk) |
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174 | ENDIF |
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175 | |
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176 | ! -----f----- |
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177 | ! Horizontal fluxes on U | |
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178 | ! --------------------=== t u t |
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179 | ! | |
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180 | ! i-flux at t-point -----f----- |
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181 | |
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182 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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183 | DO jj = 2, jpjm1 |
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184 | DO ji = fs_2, jpi ! vector opt. |
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185 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e2t(ji,jj) * MIN( fse3u(ji,jj,jk), fse3u(ji-1,jj,jk) ) * r1_e1t(ji,jj) |
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186 | |
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187 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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188 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
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189 | |
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190 | zcof1 = - rn_aht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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191 | |
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192 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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193 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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194 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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195 | END DO |
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196 | END DO |
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197 | ELSE ! other coordinate system (zco or sco) : e3t |
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198 | DO jj = 2, jpjm1 |
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199 | DO ji = fs_2, jpi ! vector opt. |
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200 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e2t(ji,jj) * fse3t(ji,jj,jk) * r1_e1t(ji,jj) |
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201 | |
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202 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk+1) & |
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203 | & + umask(ji-1,jj,jk+1) + umask(ji,jj,jk ) , 1._wp ) |
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204 | |
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205 | zcof1 = - rn_aht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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206 | |
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207 | ziut(ji,jj) = ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & |
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208 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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209 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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210 | END DO |
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211 | END DO |
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212 | ENDIF |
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213 | |
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214 | ! j-flux at f-point |
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215 | DO jj = 1, jpjm1 |
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216 | DO ji = 1, fs_jpim1 ! vector opt. |
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217 | zabe2 = ( ahmf(ji,jj,jk) + rn_ahm_b ) * e1f(ji,jj) * fse3f(ji,jj,jk) * r1_e2f(ji,jj) |
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218 | |
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219 | zmskf = 1._wp / MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
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220 | & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
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221 | |
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222 | zcof2 = - rn_aht_0 * e1f(ji,jj) * zmskf * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
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223 | |
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224 | zjuf(ji,jj) = ( zabe2 * ( ub(ji,jj+1,jk) - ub(ji,jj,jk) ) & |
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225 | & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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226 | & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) * fmask(ji,jj,jk) |
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227 | END DO |
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228 | END DO |
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229 | |
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230 | ! | t | |
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231 | ! Horizontal fluxes on V | | |
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232 | ! --------------------=== f---v---f |
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233 | ! | | |
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234 | ! i-flux at f-point | t | |
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235 | |
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236 | DO jj = 2, jpjm1 |
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237 | DO ji = 1, fs_jpim1 ! vector opt. |
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238 | zabe1 = ( ahmf(ji,jj,jk) + rn_ahm_b ) * e2f(ji,jj) * fse3f(ji,jj,jk) * r1_e1f(ji,jj) |
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239 | |
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240 | zmskf = 1._wp / MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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241 | & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
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242 | |
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243 | zcof1 = - rn_aht_0 * e2f(ji,jj) * zmskf * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
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244 | |
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245 | zivf(ji,jj) = ( zabe1 * ( vb(ji+1,jj,jk) - vb(ji,jj,jk) ) & |
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246 | & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & |
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247 | & + zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) * fmask(ji,jj,jk) |
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248 | END DO |
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249 | END DO |
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250 | |
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251 | ! j-flux at t-point |
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252 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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253 | DO jj = 2, jpj |
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254 | DO ji = 1, fs_jpim1 ! vector opt. |
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255 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e1t(ji,jj) * MIN( fse3v(ji,jj,jk), fse3v(ji,jj-1,jk) ) * r1_e2t(ji,jj) |
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256 | |
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257 | zmskt = 1._wp / MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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258 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
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259 | |
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260 | zcof2 = - rn_aht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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261 | |
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262 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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263 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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264 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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265 | END DO |
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266 | END DO |
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267 | ELSE ! other coordinate system (zco or sco) : e3t |
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268 | DO jj = 2, jpj |
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269 | DO ji = 1, fs_jpim1 ! vector opt. |
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270 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e1t(ji,jj) * fse3t(ji,jj,jk) * r1_e2t(ji,jj) |
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271 | |
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272 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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273 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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274 | |
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275 | zcof2 = - rn_aht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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276 | |
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277 | zjvt(ji,jj) = ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & |
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278 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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279 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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280 | END DO |
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281 | END DO |
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282 | ENDIF |
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283 | |
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284 | |
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285 | ! Second derivative (divergence) and add to the general trend |
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286 | ! ----------------------------------------------------------- |
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287 | DO jj = 2, jpjm1 |
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288 | DO ji = 2, jpim1 !!gm Question vectop possible??? !!bug |
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289 | ua(ji,jj,jk) = ua(ji,jj,jk) + ( ziut(ji+1,jj) - ziut(ji,jj ) & |
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290 | & + zjuf(ji ,jj) - zjuf(ji,jj-1) ) / ( e1e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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291 | va(ji,jj,jk) = va(ji,jj,jk) + ( zivf(ji,jj ) - zivf(ji-1,jj) & |
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292 | & + zjvt(ji,jj+1) - zjvt(ji,jj ) ) / ( e1e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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293 | END DO |
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294 | END DO |
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295 | ! ! =============== |
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296 | END DO ! End of slab |
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297 | ! ! =============== |
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298 | |
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299 | ! print sum trends (used for debugging) |
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300 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' ldfh - Ua: ', mask1=umask, & |
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301 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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302 | |
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303 | |
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304 | ! ! =============== |
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305 | DO jj = 2, jpjm1 ! Vertical slab |
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306 | ! ! =============== |
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307 | |
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308 | |
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309 | ! I. vertical trends associated with the lateral mixing |
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310 | ! ===================================================== |
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311 | ! (excluding the vertical flux proportional to dk[t] |
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312 | |
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313 | |
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314 | ! I.1 horizontal momentum gradient |
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315 | ! -------------------------------- |
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316 | |
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317 | DO jk = 1, jpk |
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318 | DO ji = 2, jpi |
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319 | ! i-gradient of u at jj |
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320 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( ub(ji,jj ,jk) - ub(ji-1,jj ,jk) ) |
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321 | ! j-gradient of u and v at jj |
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322 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( ub(ji,jj+1,jk) - ub(ji ,jj ,jk) ) |
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323 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( vb(ji,jj ,jk) - vb(ji ,jj-1,jk) ) |
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324 | ! j-gradient of u and v at jj+1 |
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325 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( ub(ji,jj ,jk) - ub(ji ,jj-1,jk) ) |
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326 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( vb(ji,jj+1,jk) - vb(ji ,jj ,jk) ) |
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327 | END DO |
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328 | END DO |
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329 | DO jk = 1, jpk |
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330 | DO ji = 1, jpim1 |
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331 | ! i-gradient of v at jj |
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332 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( vb(ji+1,jj,jk) - vb(ji ,jj ,jk) ) |
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333 | END DO |
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334 | END DO |
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335 | |
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336 | |
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337 | ! I.2 Vertical fluxes |
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338 | ! ------------------- |
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339 | |
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340 | ! Surface and bottom vertical fluxes set to zero |
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341 | DO ji = 1, jpi |
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342 | zfuw(ji, 1 ) = 0.e0 |
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343 | zfvw(ji, 1 ) = 0.e0 |
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344 | zfuw(ji,jpk) = 0.e0 |
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345 | zfvw(ji,jpk) = 0.e0 |
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346 | END DO |
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347 | |
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348 | ! interior (2=<jk=<jpk-1) on U field |
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349 | DO jk = 2, jpkm1 |
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350 | DO ji = 2, jpim1 |
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351 | zcoef0= 0.5 * rn_aht_0 * umask(ji,jj,jk) |
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352 | ! |
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353 | zuwslpi = zcoef0 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
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354 | zuwslpj = zcoef0 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
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355 | ! |
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356 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
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357 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ), 1. ) |
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358 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1) + fmask(ji,jj,jk-1) & |
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359 | + fmask(ji,jj-1,jk ) + fmask(ji,jj,jk ), 1. ) |
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360 | |
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361 | zcoef3 = - e2u(ji,jj) * zmkt * zuwslpi |
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362 | zcoef4 = - e1u(ji,jj) * zmkf * zuwslpj |
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363 | ! vertical flux on u field |
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364 | zfuw(ji,jk) = zcoef3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
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365 | +zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
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366 | + zcoef4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
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367 | +zdj1u(ji,jk ) + zdju (ji ,jk ) ) |
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368 | ! update avmu (add isopycnal vertical coefficient to avmu) |
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369 | ! Caution: zcoef0 include rn_aht_0, so divided by rn_aht_0 to obtain slp^2 * rn_aht_0 |
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370 | avmu(ji,jj,jk) = avmu(ji,jj,jk) + ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) / rn_aht_0 |
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371 | END DO |
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372 | END DO |
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373 | |
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374 | ! interior (2=<jk=<jpk-1) on V field |
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375 | DO jk = 2, jpkm1 |
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376 | DO ji = 2, jpim1 |
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377 | zcoef0 = 0.5 * rn_aht_0 * vmask(ji,jj,jk) |
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378 | |
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379 | zvwslpi = zcoef0 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
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380 | zvwslpj = zcoef0 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
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381 | |
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382 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
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383 | + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ), 1. ) |
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384 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
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385 | + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ), 1. ) |
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386 | |
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387 | zcoef3 = - e2v(ji,jj) * zmkf * zvwslpi |
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388 | zcoef4 = - e1v(ji,jj) * zmkt * zvwslpj |
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389 | ! vertical flux on v field |
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390 | zfvw(ji,jk) = zcoef3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
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391 | & +zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
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392 | & + zcoef4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
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393 | & +zdjv (ji,jk ) + zdj1v(ji ,jk ) ) |
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394 | ! update avmv (add isopycnal vertical coefficient to avmv) |
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395 | ! Caution: zcoef0 include rn_aht_0, so divided by rn_aht_0 to obtain slp^2 * rn_aht_0 |
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396 | avmv(ji,jj,jk) = avmv(ji,jj,jk) + ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) / rn_aht_0 |
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397 | END DO |
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398 | END DO |
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399 | |
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400 | |
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401 | ! I.3 Divergence of vertical fluxes added to the general tracer trend |
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402 | ! ------------------------------------------------------------------- |
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403 | DO jk = 1, jpkm1 |
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404 | DO ji = 2, jpim1 |
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405 | ua(ji,jj,jk) = ua(ji,jj,jk) + ( zfuw(ji,jk) - zfuw(ji,jk+1) ) / ( e1e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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406 | va(ji,jj,jk) = va(ji,jj,jk) + ( zfvw(ji,jk) - zfvw(ji,jk+1) ) / ( e1e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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407 | END DO |
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408 | END DO |
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409 | ! ! =============== |
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410 | END DO ! End of slab |
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411 | ! ! =============== |
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412 | CALL wrk_dealloc( jpi, jpj, ziut, zjuf, zjvt, zivf, zdku, zdk1u, zdkv, zdk1v ) |
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413 | ! |
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414 | IF( nn_timing == 1 ) CALL timing_stop('dyn_ldf_iso') |
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415 | ! |
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416 | END SUBROUTINE dyn_ldf_iso |
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417 | |
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418 | !!====================================================================== |
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419 | END MODULE dynldf_iso |
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