1 | MODULE dynvor |
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2 | !!====================================================================== |
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3 | !! *** MODULE dynvor *** |
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4 | !! Ocean dynamics: Update the momentum trend with the relative and |
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5 | !! planetary vorticity trends |
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6 | !!====================================================================== |
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7 | !! History : OPA ! 1989-12 (P. Andrich) vor_ens: Original code |
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8 | !! 5.0 ! 1991-11 (G. Madec) vor_ene, vor_mix: Original code |
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9 | !! 6.0 ! 1996-01 (G. Madec) s-coord, suppress work arrays |
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10 | !! NEMO 0.5 ! 2002-08 (G. Madec) F90: Free form and module |
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11 | !! 1.0 ! 2004-02 (G. Madec) vor_een: Original code |
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12 | !! - ! 2003-08 (G. Madec) add vor_ctl |
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13 | !! - ! 2005-11 (G. Madec) add dyn_vor (new step architecture) |
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14 | !! 2.0 ! 2006-11 (G. Madec) flux form advection: add metric term |
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15 | !! 3.2 ! 2009-04 (R. Benshila) vvl: correction of een scheme |
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16 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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17 | !! 3.7 ! 2014-04 (G. Madec) trend simplification: suppress jpdyn_trd_dat vorticity |
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18 | !! - ! 2014-06 (G. Madec) suppression of velocity curl from in-core memory |
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19 | !! - ! 2016-12 (G. Madec, E. Clementi) add Stokes-Coriolis trends (ln_stcor=T) |
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20 | !! 4.0 ! 2017-07 (G. Madec) linear dynamics + trends diag. with Stokes-Coriolis |
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21 | !!---------------------------------------------------------------------- |
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22 | |
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23 | !!---------------------------------------------------------------------- |
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24 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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25 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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26 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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27 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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28 | !! dyn_vor_init : set and control of the different vorticity option |
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29 | !!---------------------------------------------------------------------- |
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30 | USE oce ! ocean dynamics and tracers |
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31 | USE dom_oce ! ocean space and time domain |
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32 | USE dommsk ! ocean mask |
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33 | USE dynadv ! momentum advection |
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34 | USE trd_oce ! trends: ocean variables |
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35 | USE trddyn ! trend manager: dynamics |
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36 | USE sbcwave ! Surface Waves (add Stokes-Coriolis force) |
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37 | USE sbc_oce , ONLY : ln_stcor ! use Stoke-Coriolis force |
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38 | ! |
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39 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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40 | USE prtctl ! Print control |
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41 | USE in_out_manager ! I/O manager |
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42 | USE lib_mpp ! MPP library |
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43 | USE timing ! Timing |
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44 | |
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45 | IMPLICIT NONE |
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46 | PRIVATE |
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47 | |
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48 | PUBLIC dyn_vor ! routine called by step.F90 |
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49 | PUBLIC dyn_vor_init ! routine called by nemogcm.F90 |
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50 | |
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51 | ! !!* Namelist namdyn_vor: vorticity term |
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52 | LOGICAL, PUBLIC :: ln_dynvor_ene !: energy conserving scheme (ENE) |
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53 | LOGICAL, PUBLIC :: ln_dynvor_ens !: enstrophy conserving scheme (ENS) |
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54 | LOGICAL, PUBLIC :: ln_dynvor_mix !: mixed scheme (MIX) |
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55 | LOGICAL, PUBLIC :: ln_dynvor_een !: energy and enstrophy conserving scheme (EEN) |
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56 | INTEGER, PUBLIC :: nn_een_e3f !: e3f=masked averaging of e3t divided by 4 (=0) or by the sum of mask (=1) |
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57 | LOGICAL, PUBLIC :: ln_dynvor_msk !: vorticity multiplied by fmask (=T) or not (=F) (all vorticity schemes) |
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58 | |
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59 | INTEGER :: nvor_scheme ! choice of the type of advection scheme |
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60 | ! ! associated indices: |
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61 | INTEGER, PUBLIC, PARAMETER :: np_ENE = 1 ! ENE scheme |
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62 | INTEGER, PUBLIC, PARAMETER :: np_ENS = 2 ! ENS scheme |
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63 | INTEGER, PUBLIC, PARAMETER :: np_MIX = 3 ! MIX scheme |
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64 | INTEGER, PUBLIC, PARAMETER :: np_EEN = 4 ! EEN scheme |
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65 | |
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66 | INTEGER :: ncor, nrvm, ntot ! choice of calculated vorticity |
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67 | ! ! associated indices: |
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68 | INTEGER, PARAMETER :: np_COR = 1 ! Coriolis (planetary) |
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69 | INTEGER, PARAMETER :: np_RVO = 2 ! relative vorticity |
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70 | INTEGER, PARAMETER :: np_MET = 3 ! metric term |
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71 | INTEGER, PARAMETER :: np_CRV = 4 ! relative + planetary (total vorticity) |
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72 | INTEGER, PARAMETER :: np_CME = 5 ! Coriolis + metric term |
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73 | |
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74 | REAL(wp) :: r1_4 = 0.250_wp ! =1/4 |
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75 | REAL(wp) :: r1_8 = 0.125_wp ! =1/8 |
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76 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! 1/12 |
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77 | |
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78 | !! * Substitutions |
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79 | # include "vectopt_loop_substitute.h90" |
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80 | !!---------------------------------------------------------------------- |
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81 | !! NEMO/OPA 4.0 , NEMO Consortium (2017) |
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82 | !! $Id$ |
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83 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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84 | !!---------------------------------------------------------------------- |
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85 | CONTAINS |
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86 | |
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87 | SUBROUTINE dyn_vor( kt ) |
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88 | !!---------------------------------------------------------------------- |
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89 | !! |
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90 | !! ** Purpose : compute the lateral ocean tracer physics. |
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91 | !! |
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92 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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93 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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94 | !! and planetary vorticity trends) and send them to trd_dyn |
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95 | !! for futher diagnostics (l_trddyn=T) |
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96 | !!---------------------------------------------------------------------- |
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97 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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98 | ! |
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99 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdu, ztrdv |
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100 | !!---------------------------------------------------------------------- |
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101 | ! |
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102 | IF( ln_timing ) CALL timing_start('dyn_vor') |
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103 | ! |
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104 | IF( l_trddyn ) THEN !== trend diagnostics case : split the added trend in two parts ==! |
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105 | ! |
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106 | ALLOCATE( ztrdu(jpi,jpj,jpk), ztrdv(jpi,jpj,jpk) ) |
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107 | ! |
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108 | ztrdu(:,:,:) = ua(:,:,:) !* planetary vorticity trend (including Stokes-Coriolis force) |
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109 | ztrdv(:,:,:) = va(:,:,:) |
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110 | SELECT CASE( nvor_scheme ) |
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111 | CASE( np_ENE, np_MIX ) ; CALL vor_ene( kt, ncor, un , vn , ua, va ) ! energy conserving scheme |
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112 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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113 | CASE( np_ENS ) ; CALL vor_ens( kt, ncor, un , vn , ua, va ) ! enstrophy conserving scheme |
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114 | IF( ln_stcor ) CALL vor_ens( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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115 | CASE( np_EEN ) ; CALL vor_een( kt, ncor, un , vn , ua, va ) ! energy & enstrophy scheme |
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116 | IF( ln_stcor ) CALL vor_een( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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117 | END SELECT |
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118 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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119 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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120 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_pvo, kt ) |
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121 | ! |
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122 | IF( n_dynadv /= np_LIN_dyn ) THEN !* relative vorticity or metric trend (only in non-linear case) |
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123 | ztrdu(:,:,:) = ua(:,:,:) |
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124 | ztrdv(:,:,:) = va(:,:,:) |
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125 | SELECT CASE( nvor_scheme ) |
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126 | CASE( np_ENE ) ; CALL vor_ene( kt, nrvm, un , vn , ua, va ) ! energy conserving scheme |
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127 | CASE( np_ENS, np_MIX ) ; CALL vor_ens( kt, nrvm, un , vn , ua, va ) ! enstrophy conserving scheme |
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128 | CASE( np_EEN ) ; CALL vor_een( kt, nrvm, un , vn , ua, va ) ! energy & enstrophy scheme |
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129 | END SELECT |
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130 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
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131 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
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132 | CALL trd_dyn( ztrdu, ztrdv, jpdyn_rvo, kt ) |
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133 | ENDIF |
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134 | ! |
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135 | DEALLOCATE( ztrdu, ztrdv ) |
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136 | ! |
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137 | ELSE !== total vorticity trend added to the general trend ==! |
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138 | ! |
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139 | SELECT CASE ( nvor_scheme ) !== vorticity trend added to the general trend ==! |
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140 | CASE( np_ENE ) !* energy conserving scheme |
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141 | CALL vor_ene( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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142 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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143 | CASE( np_ENS ) !* enstrophy conserving scheme |
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144 | CALL vor_ens( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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145 | IF( ln_stcor ) CALL vor_ens( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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146 | CASE( np_MIX ) !* mixed ene-ens scheme |
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147 | CALL vor_ens( kt, nrvm, un , vn , ua, va ) ! relative vorticity or metric trend (ens) |
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148 | CALL vor_ene( kt, ncor, un , vn , ua, va ) ! planetary vorticity trend (ene) |
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149 | IF( ln_stcor ) CALL vor_ene( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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150 | CASE( np_EEN ) !* energy and enstrophy conserving scheme |
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151 | CALL vor_een( kt, ntot, un , vn , ua, va ) ! total vorticity trend |
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152 | IF( ln_stcor ) CALL vor_een( kt, ncor, usd, vsd, ua, va ) ! add the Stokes-Coriolis trend |
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153 | END SELECT |
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154 | ! |
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155 | ENDIF |
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156 | ! |
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157 | ! ! print sum trends (used for debugging) |
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158 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' vor - Ua: ', mask1=umask, & |
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159 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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160 | ! |
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161 | IF( ln_timing ) CALL timing_stop('dyn_vor') |
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162 | ! |
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163 | END SUBROUTINE dyn_vor |
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164 | |
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165 | |
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166 | SUBROUTINE vor_ene( kt, kvor, pun, pvn, pua, pva ) |
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167 | !!---------------------------------------------------------------------- |
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168 | !! *** ROUTINE vor_ene *** |
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169 | !! |
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170 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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171 | !! the general trend of the momentum equation. |
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172 | !! |
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173 | !! ** Method : Trend evaluated using now fields (centered in time) |
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174 | !! and the Sadourny (1975) flux form formulation : conserves the |
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175 | !! horizontal kinetic energy. |
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176 | !! The general trend of momentum is increased due to the vorticity |
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177 | !! term which is given by: |
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178 | !! voru = 1/e1u mj-1[ (rvor+f)/e3f mi(e1v*e3v vn) ] |
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179 | !! vorv = 1/e2v mi-1[ (rvor+f)/e3f mj(e2u*e3u un) ] |
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180 | !! where rvor is the relative vorticity |
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181 | !! |
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182 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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183 | !! |
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184 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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185 | !!---------------------------------------------------------------------- |
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186 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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187 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
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188 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
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189 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
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190 | ! |
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191 | INTEGER :: ji, jj, jk ! dummy loop indices |
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192 | REAL(wp) :: zx1, zy1, zx2, zy2 ! local scalars |
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193 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! 2D workspace |
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194 | !!---------------------------------------------------------------------- |
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195 | ! |
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196 | IF( ln_timing ) CALL timing_start('vor_ene') |
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197 | ! |
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198 | IF( kt == nit000 ) THEN |
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199 | IF(lwp) WRITE(numout,*) |
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200 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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201 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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202 | ENDIF |
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203 | ! |
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204 | ! ! =============== |
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205 | DO jk = 1, jpkm1 ! Horizontal slab |
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206 | ! ! =============== |
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207 | ! |
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208 | SELECT CASE( kvor ) !== vorticity considered ==! |
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209 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
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210 | zwz(:,:) = ff_f(:,:) |
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211 | CASE ( np_RVO ) !* relative vorticity |
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212 | DO jj = 1, jpjm1 |
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213 | DO ji = 1, fs_jpim1 ! vector opt. |
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214 | zwz(ji,jj) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
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215 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
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216 | END DO |
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217 | END DO |
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218 | CASE ( np_MET ) !* metric term |
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219 | DO jj = 1, jpjm1 |
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220 | DO ji = 1, fs_jpim1 ! vector opt. |
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221 | zwz(ji,jj) = ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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222 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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223 | & * 0.5 * r1_e1e2f(ji,jj) |
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224 | END DO |
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225 | END DO |
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226 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
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227 | DO jj = 1, jpjm1 |
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228 | DO ji = 1, fs_jpim1 ! vector opt. |
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229 | zwz(ji,jj) = ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
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230 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
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231 | & * r1_e1e2f(ji,jj) |
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232 | END DO |
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233 | END DO |
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234 | CASE ( np_CME ) !* Coriolis + metric |
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235 | DO jj = 1, jpjm1 |
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236 | DO ji = 1, fs_jpim1 ! vector opt. |
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237 | zwz(ji,jj) = ff_f(ji,jj) & |
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238 | & + ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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239 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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240 | & * 0.5 * r1_e1e2f(ji,jj) |
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241 | END DO |
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242 | END DO |
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243 | CASE DEFAULT ! error |
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244 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
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245 | END SELECT |
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246 | ! |
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247 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
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248 | DO jj = 1, jpjm1 |
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249 | DO ji = 1, fs_jpim1 ! vector opt. |
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250 | zwz(ji,jj) = zwz(ji,jj) * fmask(ji,jj,jk) |
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251 | END DO |
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252 | END DO |
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253 | ENDIF |
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254 | |
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255 | IF( ln_sco ) THEN |
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256 | zwz(:,:) = zwz(:,:) / e3f_n(:,:,jk) |
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257 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
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258 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
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259 | ELSE |
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260 | zwx(:,:) = e2u(:,:) * pun(:,:,jk) |
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261 | zwy(:,:) = e1v(:,:) * pvn(:,:,jk) |
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262 | ENDIF |
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263 | ! !== compute and add the vorticity term trend =! |
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264 | DO jj = 2, jpjm1 |
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265 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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266 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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267 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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268 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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269 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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270 | pua(ji,jj,jk) = pua(ji,jj,jk) + r1_4 * r1_e1u(ji,jj) * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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271 | pva(ji,jj,jk) = pva(ji,jj,jk) - r1_4 * r1_e2v(ji,jj) * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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272 | END DO |
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273 | END DO |
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274 | ! ! =============== |
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275 | END DO ! End of slab |
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276 | ! ! =============== |
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277 | ! |
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278 | IF( ln_timing ) CALL timing_stop('vor_ene') |
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279 | ! |
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280 | END SUBROUTINE vor_ene |
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281 | |
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282 | |
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283 | SUBROUTINE vor_ens( kt, kvor, pun, pvn, pua, pva ) |
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284 | !!---------------------------------------------------------------------- |
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285 | !! *** ROUTINE vor_ens *** |
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286 | !! |
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287 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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288 | !! the general trend of the momentum equation. |
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289 | !! |
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290 | !! ** Method : Trend evaluated using now fields (centered in time) |
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291 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
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292 | !! potential enstrophy of a horizontally non-divergent flow. the |
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293 | !! trend of the vorticity term is given by: |
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294 | !! voru = 1/e1u mj-1[ (rvor+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
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295 | !! vorv = 1/e2v mi-1[ (rvor+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
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296 | !! Add this trend to the general momentum trend (ua,va): |
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297 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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298 | !! |
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299 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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300 | !! |
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301 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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302 | !!---------------------------------------------------------------------- |
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303 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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304 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
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305 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
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306 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
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307 | ! |
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308 | INTEGER :: ji, jj, jk ! dummy loop indices |
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309 | REAL(wp) :: zuav, zvau ! local scalars |
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310 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz, zww ! 2D workspace |
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311 | !!---------------------------------------------------------------------- |
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312 | ! |
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313 | IF( ln_timing ) CALL timing_start('vor_ens') |
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314 | ! |
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315 | IF( kt == nit000 ) THEN |
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316 | IF(lwp) WRITE(numout,*) |
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317 | IF(lwp) WRITE(numout,*) 'dyn:vor_ens : vorticity term: enstrophy conserving scheme' |
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318 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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319 | ENDIF |
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320 | ! ! =============== |
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321 | DO jk = 1, jpkm1 ! Horizontal slab |
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322 | ! ! =============== |
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323 | ! |
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324 | SELECT CASE( kvor ) !== vorticity considered ==! |
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325 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
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326 | zwz(:,:) = ff_f(:,:) |
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327 | CASE ( np_RVO ) !* relative vorticity |
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328 | DO jj = 1, jpjm1 |
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329 | DO ji = 1, fs_jpim1 ! vector opt. |
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330 | zwz(ji,jj) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
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331 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) * r1_e1e2f(ji,jj) |
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332 | END DO |
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333 | END DO |
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334 | CASE ( np_MET ) !* metric term |
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335 | DO jj = 1, jpjm1 |
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336 | DO ji = 1, fs_jpim1 ! vector opt. |
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337 | zwz(ji,jj) = ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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338 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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339 | & * 0.5 * r1_e1e2f(ji,jj) |
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340 | END DO |
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341 | END DO |
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342 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
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343 | DO jj = 1, jpjm1 |
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344 | DO ji = 1, fs_jpim1 ! vector opt. |
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345 | zwz(ji,jj) = ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
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346 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
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347 | & * r1_e1e2f(ji,jj) |
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348 | END DO |
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349 | END DO |
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350 | CASE ( np_CME ) !* Coriolis + metric |
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351 | DO jj = 1, jpjm1 |
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352 | DO ji = 1, fs_jpim1 ! vector opt. |
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353 | zwz(ji,jj) = ff_f(ji,jj) & |
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354 | & + ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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355 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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356 | & * 0.5 * r1_e1e2f(ji,jj) |
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357 | END DO |
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358 | END DO |
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359 | CASE DEFAULT ! error |
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360 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
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361 | END SELECT |
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362 | ! |
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363 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
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364 | DO jj = 1, jpjm1 |
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365 | DO ji = 1, fs_jpim1 ! vector opt. |
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366 | zwz(ji,jj) = zwz(ji,jj) * fmask(ji,jj,jk) |
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367 | END DO |
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368 | END DO |
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369 | ENDIF |
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370 | ! |
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371 | IF( ln_sco ) THEN !== horizontal fluxes ==! |
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372 | zwz(:,:) = zwz(:,:) / e3f_n(:,:,jk) |
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373 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
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374 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
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375 | ELSE |
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376 | zwx(:,:) = e2u(:,:) * pun(:,:,jk) |
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377 | zwy(:,:) = e1v(:,:) * pvn(:,:,jk) |
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378 | ENDIF |
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379 | ! !== compute and add the vorticity term trend =! |
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380 | DO jj = 2, jpjm1 |
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381 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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382 | zuav = r1_8 * r1_e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
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383 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
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384 | zvau =-r1_8 * r1_e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
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385 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
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386 | pua(ji,jj,jk) = pua(ji,jj,jk) + zuav * ( zwz(ji ,jj-1) + zwz(ji,jj) ) |
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387 | pva(ji,jj,jk) = pva(ji,jj,jk) + zvau * ( zwz(ji-1,jj ) + zwz(ji,jj) ) |
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388 | END DO |
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389 | END DO |
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390 | ! ! =============== |
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391 | END DO ! End of slab |
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392 | ! ! =============== |
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393 | ! |
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394 | IF( ln_timing ) CALL timing_stop('vor_ens') |
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395 | ! |
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396 | END SUBROUTINE vor_ens |
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397 | |
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398 | |
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399 | SUBROUTINE vor_een( kt, kvor, pun, pvn, pua, pva ) |
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400 | !!---------------------------------------------------------------------- |
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401 | !! *** ROUTINE vor_een *** |
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402 | !! |
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403 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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404 | !! the general trend of the momentum equation. |
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405 | !! |
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406 | !! ** Method : Trend evaluated using now fields (centered in time) |
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407 | !! and the Arakawa and Lamb (1980) flux form formulation : conserves |
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408 | !! both the horizontal kinetic energy and the potential enstrophy |
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409 | !! when horizontal divergence is zero (see the NEMO documentation) |
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410 | !! Add this trend to the general momentum trend (ua,va). |
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411 | !! |
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412 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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413 | !! |
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414 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
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415 | !!---------------------------------------------------------------------- |
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416 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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417 | INTEGER , INTENT(in ) :: kvor ! total, planetary, relative, or metric |
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418 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun, pvn ! now velocities |
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419 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pua, pva ! total v-trend |
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420 | ! |
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421 | INTEGER :: ji, jj, jk ! dummy loop indices |
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422 | INTEGER :: ierr ! local integer |
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423 | REAL(wp) :: zua, zva ! local scalars |
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424 | REAL(wp) :: zmsk, ze3 ! local scalars |
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425 | REAL(wp), DIMENSION(jpi,jpj) :: zwx , zwy , zwz , z1_e3f |
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426 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse |
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427 | !!---------------------------------------------------------------------- |
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428 | ! |
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429 | IF( ln_timing ) CALL timing_start('vor_een') |
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430 | ! |
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431 | IF( kt == nit000 ) THEN |
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432 | IF(lwp) WRITE(numout,*) |
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433 | IF(lwp) WRITE(numout,*) 'dyn:vor_een : vorticity term: energy and enstrophy conserving scheme' |
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434 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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435 | ENDIF |
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436 | ! |
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437 | ! ! =============== |
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438 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
439 | ! ! =============== |
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440 | ! |
---|
441 | SELECT CASE( nn_een_e3f ) ! == reciprocal of e3 at F-point |
---|
442 | CASE ( 0 ) ! original formulation (masked averaging of e3t divided by 4) |
---|
443 | DO jj = 1, jpjm1 |
---|
444 | DO ji = 1, fs_jpim1 ! vector opt. |
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445 | ze3 = ( e3t_n(ji,jj+1,jk)*tmask(ji,jj+1,jk) + e3t_n(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
446 | & + e3t_n(ji,jj ,jk)*tmask(ji,jj ,jk) + e3t_n(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
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447 | IF( ze3 /= 0._wp ) THEN ; z1_e3f(ji,jj) = 4._wp / ze3 |
---|
448 | ELSE ; z1_e3f(ji,jj) = 0._wp |
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449 | ENDIF |
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450 | END DO |
---|
451 | END DO |
---|
452 | CASE ( 1 ) ! new formulation (masked averaging of e3t divided by the sum of mask) |
---|
453 | DO jj = 1, jpjm1 |
---|
454 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
455 | ze3 = ( e3t_n(ji,jj+1,jk)*tmask(ji,jj+1,jk) + e3t_n(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
456 | & + e3t_n(ji,jj ,jk)*tmask(ji,jj ,jk) + e3t_n(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) |
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457 | zmsk = ( tmask(ji,jj+1,jk) + tmask(ji+1,jj+1,jk) & |
---|
458 | & + tmask(ji,jj ,jk) + tmask(ji+1,jj ,jk) ) |
---|
459 | IF( ze3 /= 0._wp ) THEN ; z1_e3f(ji,jj) = zmsk / ze3 |
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460 | ELSE ; z1_e3f(ji,jj) = 0._wp |
---|
461 | ENDIF |
---|
462 | END DO |
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463 | END DO |
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464 | END SELECT |
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465 | ! |
---|
466 | SELECT CASE( kvor ) !== vorticity considered ==! |
---|
467 | CASE ( np_COR ) !* Coriolis (planetary vorticity) |
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468 | DO jj = 1, jpjm1 |
---|
469 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
470 | zwz(ji,jj) = ff_f(ji,jj) * z1_e3f(ji,jj) |
---|
471 | END DO |
---|
472 | END DO |
---|
473 | CASE ( np_RVO ) !* relative vorticity |
---|
474 | DO jj = 1, jpjm1 |
---|
475 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
476 | zwz(ji,jj) = ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
477 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
---|
478 | & * r1_e1e2f(ji,jj) * z1_e3f(ji,jj) |
---|
479 | END DO |
---|
480 | END DO |
---|
481 | CASE ( np_MET ) !* metric term |
---|
482 | DO jj = 1, jpjm1 |
---|
483 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
484 | zwz(ji,jj) = ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
485 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
486 | & * 0.5 * r1_e1e2f(ji,jj) * z1_e3f(ji,jj) |
---|
487 | END DO |
---|
488 | END DO |
---|
489 | CASE ( np_CRV ) !* Coriolis + relative vorticity |
---|
490 | DO jj = 1, jpjm1 |
---|
491 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
492 | zwz(ji,jj) = ( ff_f(ji,jj) + ( e2v(ji+1,jj ) * pvn(ji+1,jj ,jk) - e2v(ji,jj) * pvn(ji,jj,jk) & |
---|
493 | & - e1u(ji ,jj+1) * pun(ji ,jj+1,jk) + e1u(ji,jj) * pun(ji,jj,jk) ) & |
---|
494 | & * r1_e1e2f(ji,jj) ) * z1_e3f(ji,jj) |
---|
495 | END DO |
---|
496 | END DO |
---|
497 | CASE ( np_CME ) !* Coriolis + metric |
---|
498 | DO jj = 1, jpjm1 |
---|
499 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
500 | zwz(ji,jj) = ( ff_f(ji,jj) & |
---|
501 | & + ( ( pvn(ji+1,jj ,jk) + pvn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
502 | & - ( pun(ji ,jj+1,jk) + pun (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
503 | & * 0.5 * r1_e1e2f(ji,jj) ) * z1_e3f(ji,jj) |
---|
504 | END DO |
---|
505 | END DO |
---|
506 | CASE DEFAULT ! error |
---|
507 | CALL ctl_stop('STOP','dyn_vor: wrong value for kvor' ) |
---|
508 | END SELECT |
---|
509 | ! |
---|
510 | IF( ln_dynvor_msk ) THEN !== mask/unmask vorticity ==! |
---|
511 | DO jj = 1, jpjm1 |
---|
512 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
513 | zwz(ji,jj) = zwz(ji,jj) * fmask(ji,jj,jk) |
---|
514 | END DO |
---|
515 | END DO |
---|
516 | ENDIF |
---|
517 | ! |
---|
518 | CALL lbc_lnk( zwz, 'F', 1. ) |
---|
519 | ! |
---|
520 | ! !== horizontal fluxes ==! |
---|
521 | zwx(:,:) = e2u(:,:) * e3u_n(:,:,jk) * pun(:,:,jk) |
---|
522 | zwy(:,:) = e1v(:,:) * e3v_n(:,:,jk) * pvn(:,:,jk) |
---|
523 | |
---|
524 | ! !== compute and add the vorticity term trend =! |
---|
525 | jj = 2 |
---|
526 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
---|
527 | DO ji = 2, jpi ! split in 2 parts due to vector opt. |
---|
528 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
529 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
530 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
531 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
532 | END DO |
---|
533 | DO jj = 3, jpj |
---|
534 | DO ji = fs_2, jpi ! vector opt. ok because we start at jj = 3 |
---|
535 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
536 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
537 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
538 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
539 | END DO |
---|
540 | END DO |
---|
541 | DO jj = 2, jpjm1 |
---|
542 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
543 | zua = + r1_12 * r1_e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
544 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
545 | zva = - r1_12 * r1_e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
546 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
547 | pua(ji,jj,jk) = pua(ji,jj,jk) + zua |
---|
548 | pva(ji,jj,jk) = pva(ji,jj,jk) + zva |
---|
549 | END DO |
---|
550 | END DO |
---|
551 | ! ! =============== |
---|
552 | END DO ! End of slab |
---|
553 | ! ! =============== |
---|
554 | ! |
---|
555 | IF( ln_timing ) CALL timing_stop('vor_een') |
---|
556 | ! |
---|
557 | END SUBROUTINE vor_een |
---|
558 | |
---|
559 | |
---|
560 | SUBROUTINE dyn_vor_init |
---|
561 | !!--------------------------------------------------------------------- |
---|
562 | !! *** ROUTINE dyn_vor_init *** |
---|
563 | !! |
---|
564 | !! ** Purpose : Control the consistency between cpp options for |
---|
565 | !! tracer advection schemes |
---|
566 | !!---------------------------------------------------------------------- |
---|
567 | INTEGER :: ioptio ! local integer |
---|
568 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
569 | INTEGER :: ios ! Local integer output status for namelist read |
---|
570 | !! |
---|
571 | NAMELIST/namdyn_vor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, & |
---|
572 | & ln_dynvor_een, nn_een_e3f , ln_dynvor_msk |
---|
573 | !!---------------------------------------------------------------------- |
---|
574 | |
---|
575 | REWIND( numnam_ref ) ! Namelist namdyn_vor in reference namelist : Vorticity scheme options |
---|
576 | READ ( numnam_ref, namdyn_vor, IOSTAT = ios, ERR = 901) |
---|
577 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_vor in reference namelist', lwp ) |
---|
578 | |
---|
579 | REWIND( numnam_cfg ) ! Namelist namdyn_vor in configuration namelist : Vorticity scheme options |
---|
580 | READ ( numnam_cfg, namdyn_vor, IOSTAT = ios, ERR = 902 ) |
---|
581 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_vor in configuration namelist', lwp ) |
---|
582 | IF(lwm) WRITE ( numond, namdyn_vor ) |
---|
583 | |
---|
584 | IF(lwp) THEN ! Namelist print |
---|
585 | WRITE(numout,*) |
---|
586 | WRITE(numout,*) 'dyn_vor_init : vorticity term : read namelist and control the consistency' |
---|
587 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
588 | WRITE(numout,*) ' Namelist namdyn_vor : choice of the vorticity term scheme' |
---|
589 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
590 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
591 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
592 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
593 | WRITE(numout,*) ' e3f = averaging /4 (=0) or /sum(tmask) (=1) nn_een_e3f = ', nn_een_e3f |
---|
594 | WRITE(numout,*) ' masked (=T) or unmasked(=F) vorticity ln_dynvor_msk = ', ln_dynvor_msk |
---|
595 | ENDIF |
---|
596 | |
---|
597 | !!gm this should be removed when choosing a unique strategy for fmask at the coast |
---|
598 | ! If energy, enstrophy or mixed advection of momentum in vector form change the value for masks |
---|
599 | ! at angles with three ocean points and one land point |
---|
600 | IF(lwp) WRITE(numout,*) |
---|
601 | IF(lwp) WRITE(numout,*) ' change fmask value in the angles (T) ln_vorlat = ', ln_vorlat |
---|
602 | IF( ln_vorlat .AND. ( ln_dynvor_ene .OR. ln_dynvor_ens .OR. ln_dynvor_mix ) ) THEN |
---|
603 | DO jk = 1, jpk |
---|
604 | DO jj = 2, jpjm1 |
---|
605 | DO ji = 2, jpim1 |
---|
606 | IF( tmask(ji,jj,jk)+tmask(ji+1,jj,jk)+tmask(ji,jj+1,jk)+tmask(ji+1,jj+1,jk) == 3._wp ) & |
---|
607 | fmask(ji,jj,jk) = 1._wp |
---|
608 | END DO |
---|
609 | END DO |
---|
610 | END DO |
---|
611 | ! |
---|
612 | CALL lbc_lnk( fmask, 'F', 1._wp ) ! Lateral boundary conditions on fmask |
---|
613 | ! |
---|
614 | ENDIF |
---|
615 | !!gm end |
---|
616 | |
---|
617 | ioptio = 0 ! type of scheme for vorticity (set nvor_scheme) |
---|
618 | IF( ln_dynvor_ene ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_ENE ; ENDIF |
---|
619 | IF( ln_dynvor_ens ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_ENS ; ENDIF |
---|
620 | IF( ln_dynvor_mix ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_MIX ; ENDIF |
---|
621 | IF( ln_dynvor_een ) THEN ; ioptio = ioptio + 1 ; nvor_scheme = np_EEN ; ENDIF |
---|
622 | ! |
---|
623 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
624 | ! |
---|
625 | IF(lwp) WRITE(numout,*) ! type of calculated vorticity (set ncor, nrvm, ntot) |
---|
626 | ncor = np_COR ! planetary vorticity |
---|
627 | SELECT CASE( n_dynadv ) |
---|
628 | CASE( np_LIN_dyn ) |
---|
629 | IF(lwp) WRITE(numout,*) ' ===>> linear dynamics : total vorticity = Coriolis' |
---|
630 | nrvm = np_COR ! planetary vorticity |
---|
631 | ntot = np_COR ! - - |
---|
632 | CASE( np_VEC_c2 ) |
---|
633 | IF(lwp) WRITE(numout,*) ' ===>> vector form dynamics : total vorticity = Coriolis + relative vorticity' |
---|
634 | nrvm = np_RVO ! relative vorticity |
---|
635 | ntot = np_CRV ! relative + planetary vorticity |
---|
636 | CASE( np_FLX_c2 , np_FLX_ubs ) |
---|
637 | IF(lwp) WRITE(numout,*) ' ===>> flux form dynamics : total vorticity = Coriolis + metric term' |
---|
638 | nrvm = np_MET ! metric term |
---|
639 | ntot = np_CME ! Coriolis + metric term |
---|
640 | END SELECT |
---|
641 | |
---|
642 | IF(lwp) THEN ! Print the choice |
---|
643 | WRITE(numout,*) |
---|
644 | SELECT CASE( nvor_scheme ) |
---|
645 | CASE( np_ENE ) ; WRITE(numout,*) ' ===>> energy conserving scheme' |
---|
646 | CASE( np_ENS ) ; WRITE(numout,*) ' ===>> enstrophy conserving scheme' |
---|
647 | CASE( np_MIX ) ; WRITE(numout,*) ' ===>> mixed enstrophy/energy conserving scheme' |
---|
648 | CASE( np_EEN ) ; WRITE(numout,*) ' ===>> energy and enstrophy conserving scheme' |
---|
649 | END SELECT |
---|
650 | ENDIF |
---|
651 | ! |
---|
652 | END SUBROUTINE dyn_vor_init |
---|
653 | |
---|
654 | !!============================================================================== |
---|
655 | END MODULE dynvor |
---|