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 | |
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8 | !!---------------------------------------------------------------------- |
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9 | !! dyn_vor_enstrophy: enstrophy conserving scheme (ln_dynvor_ens=T) |
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10 | !! dyn_vor_energy : energy conserving scheme (ln_dynvor_ene=T) |
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11 | !! dyn_vor_mixed : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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12 | !! dyn_vor_ene_ens : energy and enstrophy conserving (ln_dynvor_een=T) |
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13 | !! dyn_vor_ctl : control of the different vorticity option |
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14 | !!---------------------------------------------------------------------- |
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15 | !! * Modules used |
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16 | USE oce ! ocean dynamics and tracers |
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17 | USE dom_oce ! ocean space and time domain |
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18 | USE in_out_manager ! I/O manager |
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19 | USE trdmod ! ocean dynamics trends |
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20 | USE trdmod_oce ! ocean variables trends |
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21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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22 | |
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23 | IMPLICIT NONE |
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24 | PRIVATE |
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25 | |
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26 | !! * Routine accessibility |
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27 | PUBLIC dyn_vor_enstrophy ! routine called by step.F90 |
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28 | PUBLIC dyn_vor_energy ! routine called by step.F90 |
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29 | PUBLIC dyn_vor_mixed ! routine called by step.F90 |
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30 | PUBLIC dyn_vor_ene_ens ! routine called by step.F90 |
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31 | PUBLIC dyn_vor_ctl ! routine called by step.F90 |
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32 | |
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33 | !! * Shared module variables |
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34 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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35 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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36 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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37 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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38 | |
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39 | !! * Substitutions |
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40 | # include "domzgr_substitute.h90" |
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41 | # include "vectopt_loop_substitute.h90" |
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42 | !!---------------------------------------------------------------------- |
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43 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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44 | !! $Header$ |
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45 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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46 | !!---------------------------------------------------------------------- |
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47 | |
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48 | CONTAINS |
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49 | |
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50 | SUBROUTINE dyn_vor_energy( kt ) |
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51 | !!---------------------------------------------------------------------- |
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52 | !! *** ROUTINE dyn_vor_energy *** |
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53 | !! |
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54 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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55 | !! the general trend of the momentum equation. |
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56 | !! |
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57 | !! ** Method : Trend evaluated using now fields (centered in time) |
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58 | !! and the Sadourny (1975) flux form formulation : conserves the |
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59 | !! horizontal kinetic energy. |
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60 | !! The trend of the vorticity term is given by: |
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61 | !! * s-coordinate (lk_sco=T), the e3. are inside the derivatives: |
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62 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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63 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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64 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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65 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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66 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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67 | !! Add this trend to the general momentum trend (ua,va): |
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68 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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69 | !! |
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70 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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71 | !! - save the trends in (utrd,vtrd) in 2 parts (relative |
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72 | !! and planetary vorticity trends) ('key_trddyn') |
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73 | !! |
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74 | !! References : |
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75 | !! Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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76 | !! History : |
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77 | !! 5.0 ! 91-11 (G. Madec) Original code |
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78 | !! 6.0 ! 96-01 (G. Madec) s-coord, suppress work arrays |
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79 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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80 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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81 | !!---------------------------------------------------------------------- |
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82 | !! * Modules used |
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83 | USE oce, ONLY : ztdua => ta, & ! use ta as 3D workspace |
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84 | ztdva => sa ! use sa as 3D workspace |
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85 | |
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86 | !! * Arguments |
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87 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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88 | |
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89 | !! * Local declarations |
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90 | INTEGER :: ji, jj, jk ! dummy loop indices |
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91 | REAL(wp) :: & |
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92 | zfact2, zua, zva, & ! temporary scalars |
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93 | zx1, zx2, zy1, zy2 ! " " |
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94 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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95 | zwx, zwy, zwz ! temporary workspace |
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96 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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97 | zcu, zcv ! " " |
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98 | !!---------------------------------------------------------------------- |
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99 | |
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100 | IF( kt == nit000 ) THEN |
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101 | IF(lwp) WRITE(numout,*) |
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102 | IF(lwp) WRITE(numout,*) 'dyn_vor_energy : vorticity term: energy conserving scheme' |
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103 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~' |
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104 | ENDIF |
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105 | |
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106 | ! Local constant initialization |
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107 | zfact2 = 0.5 * 0.5 |
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108 | zcu (:,:,:) = 0.e0 |
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109 | zcv (:,:,:) = 0.e0 |
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110 | |
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111 | ! Save ua and va trends |
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112 | IF( l_trddyn ) THEN |
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113 | ztdua(:,:,:) = ua(:,:,:) |
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114 | ztdva(:,:,:) = va(:,:,:) |
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115 | zcu(:,:,:) = 0.e0 |
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116 | zcv(:,:,:) = 0.e0 |
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117 | ENDIF |
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118 | |
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119 | ! ! =============== |
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120 | DO jk = 1, jpkm1 ! Horizontal slab |
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121 | ! ! =============== |
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122 | |
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123 | ! Potential vorticity and horizontal fluxes |
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124 | ! ----------------------------------------- |
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125 | IF( lk_sco ) THEN |
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126 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) / fse3f(:,:,jk) |
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127 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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128 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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129 | ELSE |
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130 | zwz(:,:) = rotn(:,:,jk) + ff(:,:) |
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131 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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132 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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133 | ENDIF |
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134 | |
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135 | ! Compute and add the vorticity term trend |
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136 | ! ---------------------------------------- |
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137 | DO jj = 2, jpjm1 |
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138 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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139 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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140 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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141 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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142 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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143 | zua = zfact2 / e1u(ji,jj) * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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144 | zva =-zfact2 / e2v(ji,jj) * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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145 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
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146 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
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147 | END DO |
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148 | END DO |
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149 | ! ! =============== |
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150 | END DO ! End of slab |
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151 | ! ! =============== |
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152 | |
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153 | ! save the relative & planetary vorticity trends for diagnostic |
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154 | ! momentum trends |
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155 | IF( l_trddyn ) THEN |
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156 | ! Compute the planetary vorticity term trend |
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157 | ! ! =============== |
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158 | DO jk = 1, jpkm1 ! Horizontal slab |
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159 | ! ! =============== |
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160 | DO jj = 2, jpjm1 |
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161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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162 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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163 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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164 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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165 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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166 | # if defined key_s_coord |
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167 | zcu(ji,jj,jk) = zfact2 / e1u(ji,jj) * ( ff(ji ,jj-1) / fse3f(ji,jj-1,jk) * zy1 & |
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168 | & + ff(ji ,jj ) / fse3f(ji,jj ,jk) * zy2 ) |
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169 | zcv(ji,jj,jk) =-zfact2 / e2v(ji,jj) * ( ff(ji-1,jj ) / fse3f(ji-1,jj,jk) * zx1 & |
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170 | & + ff(ji ,jj ) / fse3f(ji ,jj,jk) * zx2 ) |
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171 | # else |
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172 | zcu(ji,jj,jk) = zfact2 / e1u(ji,jj) * ( ff(ji ,jj-1) * zy1 + ff(ji,jj) * zy2 ) |
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173 | zcv(ji,jj,jk) =-zfact2 / e2v(ji,jj) * ( ff(ji-1,jj ) * zx1 + ff(ji,jj) * zx2 ) |
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174 | # endif |
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175 | END DO |
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176 | END DO |
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177 | ! ! =============== |
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178 | END DO ! End of slab |
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179 | ! ! =============== |
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180 | |
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181 | ! Compute the relative vorticity term trend |
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182 | ztdua(:,:,:) = ua(:,:,:) - ztdua(:,:,:) - zcu(:,:,:) |
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183 | ztdva(:,:,:) = va(:,:,:) - ztdva(:,:,:) - zcv(:,:,:) |
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184 | |
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185 | CALL trd_mod(zcu , zcv , jpdtdpvo, 'DYN', kt) |
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186 | CALL trd_mod(zcu , zcv , jpdtddat, 'DYN', kt) |
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187 | CALL trd_mod(ztdua, ztdva, jpdtdrvo, 'DYN', kt) |
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188 | ENDIF |
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189 | |
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190 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
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191 | zua = SUM( ua(2:nictl,2:njctl,1:jpkm1) * umask(2:nictl,2:njctl,1:jpkm1) ) |
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192 | zva = SUM( va(2:nictl,2:njctl,1:jpkm1) * vmask(2:nictl,2:njctl,1:jpkm1) ) |
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193 | WRITE(numout,*) ' vor - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
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194 | u_ctl = zua ; v_ctl = zva |
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195 | ENDIF |
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196 | |
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197 | END SUBROUTINE dyn_vor_energy |
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198 | |
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199 | |
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200 | SUBROUTINE dyn_vor_mixed( kt ) |
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201 | !!---------------------------------------------------------------------- |
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202 | !! *** ROUTINE dyn_vor_mixed *** |
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203 | !! |
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204 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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205 | !! the general trend of the momentum equation. |
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206 | !! |
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207 | !! ** Method : Trend evaluated using now fields (centered in time) |
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208 | !! Mixte formulation : conserves the potential enstrophy of a hori- |
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209 | !! zontally non-divergent flow for (rotzu x uh), the relative vor- |
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210 | !! ticity term and the horizontal kinetic energy for (f x uh), the |
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211 | !! coriolis term. the now trend of the vorticity term is given by: |
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212 | !! * s-coordinate (lk_sco=T), the e3. are inside the derivatives: |
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213 | !! voru = 1/e1u mj-1(rotn/e3f) mj-1[ mi(e1v*e3v vn) ] |
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214 | !! +1/e1u mj-1[ f/e3f mi(e1v*e3v vn) ] |
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215 | !! vorv = 1/e2v mi-1(rotn/e3f) mi-1[ mj(e2u*e3u un) ] |
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216 | !! +1/e2v mi-1[ f/e3f mj(e2u*e3u un) ] |
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217 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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218 | !! voru = 1/e1u mj-1(rotn) mj-1[ mi(e1v vn) ] |
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219 | !! +1/e1u mj-1[ f mi(e1v vn) ] |
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220 | !! vorv = 1/e2v mi-1(rotn) mi-1[ mj(e2u un) ] |
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221 | !! +1/e2v mi-1[ f mj(e2u un) ] |
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222 | !! Add this now trend to the general momentum trend (ua,va): |
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223 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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224 | !! |
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225 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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226 | !! - Save the trends in (utrd,vtrd) in 2 parts (relative |
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227 | !! and planetary vorticity trends) ('key_trddyn') |
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228 | !! |
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229 | !! References : |
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230 | !! Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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231 | !! History : |
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232 | !! 5.0 ! 91-11 (G. Madec) Original code, enstrophy-energy-combined schemes |
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233 | !! 6.0 ! 96-01 (G. Madec) s-coord, suppress work arrays |
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234 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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235 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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236 | !!---------------------------------------------------------------------- |
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237 | !! * Modules used |
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238 | USE oce, ONLY : ztdua => ta, & ! use ta as 3D workspace |
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239 | ztdva => sa ! use sa as 3D workspace |
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240 | !! * Arguments |
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241 | INTEGER, INTENT( in ) :: kt ! ocean timestep index |
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242 | |
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243 | !! * Local declarations |
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244 | INTEGER :: ji, jj, jk ! dummy loop indices |
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245 | REAL(wp) :: & |
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246 | zfact1, zfact2, zua, zva, & ! temporary scalars |
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247 | zcua, zcva, zx1, zx2, zy1, zy2 |
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248 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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249 | zwx, zwy, zwz, zww ! temporary workspace |
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250 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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251 | zcu, zcv ! " " |
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252 | !!---------------------------------------------------------------------- |
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253 | |
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254 | IF( kt == nit000 ) THEN |
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255 | IF(lwp) WRITE(numout,*) |
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256 | IF(lwp) WRITE(numout,*) 'dyn_vor_mixed : vorticity term: mixed energy/enstrophy conserving scheme' |
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257 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~' |
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258 | ENDIF |
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259 | |
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260 | ! Local constant initialization |
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261 | zfact1 = 0.5 * 0.25 |
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262 | zfact2 = 0.5 * 0.5 |
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263 | |
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264 | ! Save ua and va trends |
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265 | IF( l_trddyn ) THEN |
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266 | ztdua(:,:,:) = ua(:,:,:) |
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267 | ztdva(:,:,:) = va(:,:,:) |
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268 | zcu(:,:,:) = 0.e0 |
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269 | zcv(:,:,:) = 0.e0 |
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270 | ENDIF |
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271 | |
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272 | ! ! =============== |
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273 | DO jk = 1, jpkm1 ! Horizontal slab |
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274 | ! ! =============== |
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275 | |
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276 | ! Relative and planetary potential vorticity and horizontal fluxes |
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277 | ! ---------------------------------------------------------------- |
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278 | IF( lk_sco ) THEN |
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279 | zwz(:,:) = ff (:,:) / fse3f(:,:,jk) |
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280 | zww(:,:) = rotn(:,:,jk) / fse3f(:,:,jk) |
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281 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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282 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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283 | ELSE |
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284 | zwz(:,:) = ff(:,:) |
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285 | zww(:,:) = rotn(:,:,jk) |
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286 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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287 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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288 | ENDIF |
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289 | |
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290 | ! Compute and add the vorticity term trend |
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291 | ! ---------------------------------------- |
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292 | DO jj = 2, jpjm1 |
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293 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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294 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
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295 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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296 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
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297 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
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298 | ! enstrophy conserving formulation for relative vorticity term |
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299 | zua = zfact1 * ( zww(ji ,jj-1) + zww(ji,jj) ) * ( zy1 + zy2 ) |
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300 | zva =-zfact1 * ( zww(ji-1,jj ) + zww(ji,jj) ) * ( zx1 + zx2 ) |
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301 | ! energy conserving formulation for planetary vorticity term |
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302 | zcua = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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303 | zcva =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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304 | |
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305 | ua(ji,jj,jk) = ua(ji,jj,jk) + zcua + zua |
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306 | va(ji,jj,jk) = va(ji,jj,jk) + zcva + zva |
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307 | END DO |
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308 | END DO |
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309 | ! ! =============== |
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310 | END DO ! End of slab |
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311 | ! ! =============== |
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312 | |
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313 | ! save the relative & planetary vorticity trends for diagnostic |
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314 | ! momentum trends |
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315 | IF( l_trddyn ) THEN |
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316 | ! Compute the planetary vorticity term trend |
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317 | ! ! =============== |
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318 | DO jk = 1, jpkm1 ! Horizontal slab |
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319 | ! ! =============== |
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320 | DO jj = 2, jpjm1 |
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321 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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322 | zy1 = ( zwy(ji,jj-1) + zwy(ji+1,jj-1) ) / e1u(ji,jj) |
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323 | zy2 = ( zwy(ji,jj ) + zwy(ji+1,jj ) ) / e1u(ji,jj) |
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324 | zx1 = ( zwx(ji-1,jj) + zwx(ji-1,jj+1) ) / e2v(ji,jj) |
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325 | zx2 = ( zwx(ji ,jj) + zwx(ji ,jj+1) ) / e2v(ji,jj) |
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326 | ! energy conserving formulation for planetary vorticity term |
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327 | zcu(ji,jj,jk) = zfact2 * ( zwz(ji ,jj-1) * zy1 + zwz(ji,jj) * zy2 ) |
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328 | zcv(ji,jj,jk) =-zfact2 * ( zwz(ji-1,jj ) * zx1 + zwz(ji,jj) * zx2 ) |
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329 | END DO |
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330 | END DO |
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331 | ! ! =============== |
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332 | END DO ! End of slab |
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333 | ! ! =============== |
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334 | |
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335 | ! Compute the relative vorticity term trend |
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336 | ztdua(:,:,:) = ua(:,:,:) - ztdua(:,:,:) - zcu(:,:,:) |
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337 | ztdva(:,:,:) = va(:,:,:) - ztdva(:,:,:) - zcv(:,:,:) |
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338 | |
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339 | CALL trd_mod(zcu , zcv , jpdtdpvo, 'DYN', kt) |
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340 | CALL trd_mod(zcu , zcv , jpdtddat, 'DYN', kt) |
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341 | CALL trd_mod(ztdua, ztdva, jpdtdrvo, 'DYN', kt) |
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342 | ENDIF |
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343 | |
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344 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
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345 | zua = SUM( ua(2:nictl,2:njctl,1:jpkm1) * umask(2:nictl,2:njctl,1:jpkm1) ) |
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346 | zva = SUM( va(2:nictl,2:njctl,1:jpkm1) * vmask(2:nictl,2:njctl,1:jpkm1) ) |
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347 | WRITE(numout,*) ' vor - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
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348 | u_ctl = zua ; v_ctl = zva |
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349 | ENDIF |
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350 | |
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351 | END SUBROUTINE dyn_vor_mixed |
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352 | |
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353 | |
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354 | SUBROUTINE dyn_vor_enstrophy( kt ) |
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355 | !!---------------------------------------------------------------------- |
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356 | !! *** ROUTINE dyn_vor_enstrophy *** |
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357 | !! |
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358 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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359 | !! the general trend of the momentum equation. |
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360 | !! |
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361 | !! ** Method : Trend evaluated using now fields (centered in time) |
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362 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
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363 | !! potential enstrophy of a horizontally non-divergent flow. the |
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364 | !! trend of the vorticity term is given by: |
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365 | !! * s-coordinate (lk_sco=T), the e3. are inside the derivative: |
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366 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
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367 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
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368 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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369 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
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370 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
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371 | !! Add this trend to the general momentum trend (ua,va): |
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372 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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373 | !! |
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374 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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375 | !! - Save the trends in (utrd,vtrd) in 2 parts (relative |
---|
376 | !! and planetary vorticity trends) ('key_trddyn') |
---|
377 | !! |
---|
378 | !! References : |
---|
379 | !! Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
380 | !! History : |
---|
381 | !! 5.0 ! 91-11 (G. Madec) Original code |
---|
382 | !! 6.0 ! 96-01 (G. Madec) s-coord, suppress work arrays |
---|
383 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
---|
384 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
---|
385 | !!---------------------------------------------------------------------- |
---|
386 | !! * modules used |
---|
387 | USE oce, ONLY: zwx => ta, & ! use ta as 3D workspace |
---|
388 | zwy => sa ! use sa as 3D workspace |
---|
389 | !! * Arguments |
---|
390 | INTEGER, INTENT( in ) :: kt ! ocean timestep |
---|
391 | |
---|
392 | !! * Local declarations |
---|
393 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
394 | REAL(wp) :: & |
---|
395 | zfact1, zua, zva, zuav, zvau ! temporary scalars |
---|
396 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
397 | zcu, zcv, zwz, & ! temporary workspace |
---|
398 | ztdua, ztdva ! temporary workspace |
---|
399 | !!---------------------------------------------------------------------- |
---|
400 | |
---|
401 | IF( kt == nit000 ) THEN |
---|
402 | IF(lwp) WRITE(numout,*) |
---|
403 | IF(lwp) WRITE(numout,*) 'dyn_vor_enstrophy : vorticity term: enstrophy conserving scheme' |
---|
404 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~~' |
---|
405 | ENDIF |
---|
406 | |
---|
407 | ! Local constant initialization |
---|
408 | zfact1 = 0.5 * 0.25 |
---|
409 | |
---|
410 | ! Save ua and va trends |
---|
411 | IF( l_trddyn ) THEN |
---|
412 | ztdua(:,:,:) = ua(:,:,:) |
---|
413 | ztdva(:,:,:) = va(:,:,:) |
---|
414 | zcu(:,:,:) = 0.e0 |
---|
415 | zcv(:,:,:) = 0.e0 |
---|
416 | ENDIF |
---|
417 | |
---|
418 | ! ! =============== |
---|
419 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
420 | ! ! =============== |
---|
421 | |
---|
422 | ! Potential vorticity and horizontal fluxes |
---|
423 | ! ----------------------------------------- |
---|
424 | IF( lk_sco ) THEN |
---|
425 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
426 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
427 | zwz(ji,jj,jk) = ( rotn(ji,jj,jk) + ff(ji,jj) ) / fse3f(ji,jj,jk) |
---|
428 | zwx(ji,jj,jk) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
429 | zwy(ji,jj,jk) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
430 | END DO |
---|
431 | END DO |
---|
432 | ELSE |
---|
433 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
434 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
435 | zwz(ji,jj,jk) = rotn(ji,jj,jk) + ff(ji,jj) |
---|
436 | zwx(ji,jj,jk) = e2u(ji,jj) * un(ji,jj,jk) |
---|
437 | zwy(ji,jj,jk) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
438 | END DO |
---|
439 | END DO |
---|
440 | ENDIF |
---|
441 | |
---|
442 | |
---|
443 | ! Compute and add the vorticity term trend |
---|
444 | ! ---------------------------------------- |
---|
445 | DO jj = 2, jpjm1 |
---|
446 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
447 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1,jk) + zwy(ji+1,jj-1,jk) & |
---|
448 | + zwy(ji ,jj ,jk) + zwy(ji+1,jj ,jk) ) |
---|
449 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ,jk) + zwx(ji-1,jj+1,jk) & |
---|
450 | + zwx(ji ,jj ,jk) + zwx(ji ,jj+1,jk) ) |
---|
451 | |
---|
452 | zua = zuav * ( zwz(ji ,jj-1,jk) + zwz(ji,jj,jk) ) |
---|
453 | zva = zvau * ( zwz(ji-1,jj ,jk) + zwz(ji,jj,jk) ) |
---|
454 | |
---|
455 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
---|
456 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
---|
457 | END DO |
---|
458 | END DO |
---|
459 | ! ! =============== |
---|
460 | END DO ! End of slab |
---|
461 | ! ! =============== |
---|
462 | |
---|
463 | |
---|
464 | ! save the relative & planetary vorticity trends for diagnostic |
---|
465 | ! momentum trends |
---|
466 | IF( l_trddyn ) THEN |
---|
467 | ! Compute the planetary vorticity term trend |
---|
468 | ! ! =============== |
---|
469 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
470 | ! ! =============== |
---|
471 | DO jj = 2, jpjm1 |
---|
472 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
473 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1,jk) + zwy(ji+1,jj-1,jk) & |
---|
474 | & + zwy(ji ,jj ,jk) + zwy(ji+1,jj ,jk) ) |
---|
475 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ,jk) + zwx(ji-1,jj+1,jk) & |
---|
476 | & + zwx(ji ,jj ,jk) + zwx(ji ,jj+1,jk) ) |
---|
477 | # if defined key_s_coord |
---|
478 | zcu(ji,jj,jk) = zuav * ( ff(ji ,jj-1) / fse3f(ji ,jj-1,jk) & |
---|
479 | & + ff(ji ,jj ) / fse3f(ji ,jj ,jk) ) |
---|
480 | zcv(ji,jj,jk) = zvau * ( ff(ji-1,jj ) / fse3f(ji-1,jj ,jk) & |
---|
481 | & + ff(ji ,jj ) / fse3f(ji ,jj ,jk) ) |
---|
482 | # else |
---|
483 | zcu(ji,jj,jk) = zuav * ( ff(ji ,jj-1) + ff(ji,jj) ) |
---|
484 | zcv(ji,jj,jk) = zvau * ( ff(ji-1,jj ) + ff(ji,jj) ) |
---|
485 | # endif |
---|
486 | END DO |
---|
487 | END DO |
---|
488 | ! ! =============== |
---|
489 | END DO ! End of slab |
---|
490 | ! ! =============== |
---|
491 | |
---|
492 | ! Compute the relative vorticity term trend |
---|
493 | ztdua(:,:,:) = ua(:,:,:) - ztdua(:,:,:) - zcu(:,:,:) |
---|
494 | ztdva(:,:,:) = va(:,:,:) - ztdva(:,:,:) - zcv(:,:,:) |
---|
495 | |
---|
496 | CALL trd_mod(zcu , zcv , jpdtdpvo, 'DYN', kt) |
---|
497 | CALL trd_mod(zcu , zcv , jpdtddat, 'DYN', kt) |
---|
498 | CALL trd_mod(ztdua, ztdva, jpdtdrvo, 'DYN', kt) |
---|
499 | ENDIF |
---|
500 | |
---|
501 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
---|
502 | zua = SUM( ua(2:nictl,2:njctl,1:jpkm1) * umask(2:nictl,2:njctl,1:jpkm1) ) |
---|
503 | zva = SUM( va(2:nictl,2:njctl,1:jpkm1) * vmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
504 | WRITE(numout,*) ' vor - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
---|
505 | u_ctl = zua ; v_ctl = zva |
---|
506 | ENDIF |
---|
507 | |
---|
508 | END SUBROUTINE dyn_vor_enstrophy |
---|
509 | |
---|
510 | |
---|
511 | SUBROUTINE dyn_vor_ene_ens( kt ) |
---|
512 | !!---------------------------------------------------------------------- |
---|
513 | !! *** ROUTINE dyn_vor_ene_ens *** |
---|
514 | !! |
---|
515 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
516 | !! the general trend of the momentum equation. |
---|
517 | !! |
---|
518 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
519 | !! and the Arakawa and Lamb (19XX) flux form formulation : conserves |
---|
520 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
521 | !! when horizontal divergence is zero. |
---|
522 | !! The trend of the vorticity term is given by: |
---|
523 | !! * s-coordinate (lk_sco=T), the e3. are inside the derivatives: |
---|
524 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
525 | !! Add this trend to the general momentum trend (ua,va): |
---|
526 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
527 | !! |
---|
528 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
529 | !! - save the trends in (utrd,vtrd) in 2 parts (relative |
---|
530 | !! and planetary vorticity trends) ('key_trddyn') |
---|
531 | !! |
---|
532 | !! References : |
---|
533 | !! Arakawa and Lamb 1980, A potential enstrophy and energy conserving |
---|
534 | !! scheme for the Shallow water equations, |
---|
535 | !! Monthly Weather Review, vol. 109, p 18-36 |
---|
536 | !! |
---|
537 | !! History : |
---|
538 | !! 8.5 ! 04-02 (G. Madec) Original code |
---|
539 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
---|
540 | !!---------------------------------------------------------------------- |
---|
541 | !! * Modules used |
---|
542 | USE oce, ONLY : ztdua => ta, & ! use ta as 3D workspace |
---|
543 | ztdva => sa ! use sa as 3D workspace |
---|
544 | |
---|
545 | !! * Arguments |
---|
546 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
547 | |
---|
548 | !! * Local declarations |
---|
549 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
550 | REAL(wp) :: & |
---|
551 | zfac12, zua, zva ! temporary scalars |
---|
552 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
553 | zwx, zwy, zwz, & ! temporary workspace |
---|
554 | ztnw, ztne, ztsw, ztse, & ! " " |
---|
555 | zcor ! potential planetary vorticity (f/e3) |
---|
556 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
557 | zcu, zcv ! temporary workspace |
---|
558 | REAL(wp), DIMENSION(jpi,jpj,jpk), SAVE :: & |
---|
559 | ze3f |
---|
560 | !!---------------------------------------------------------------------- |
---|
561 | |
---|
562 | IF( kt == nit000 ) THEN |
---|
563 | IF(lwp) WRITE(numout,*) |
---|
564 | IF(lwp) WRITE(numout,*) 'dyn_vor_ene_ens : vorticity term: energy and enstrophy conserving scheme' |
---|
565 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
566 | |
---|
567 | DO jk = 1, jpk |
---|
568 | DO jj = 1, jpjm1 |
---|
569 | DO ji = 1, jpim1 |
---|
570 | ze3f(ji,jj,jk) = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
571 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25 |
---|
572 | !!! ze3f(ji,jj,jk) = MAX( ze3f(ji,jj,jk) , 1.e-20) |
---|
573 | IF( ze3f(ji,jj,jk) /= 0.e0 ) ze3f(ji,jj,jk) = 1.e0 / ze3f(ji,jj,jk) |
---|
574 | END DO |
---|
575 | END DO |
---|
576 | END DO |
---|
577 | CALL lbc_lnk( ze3f, 'F', 1. ) |
---|
578 | ENDIF |
---|
579 | |
---|
580 | ! Local constant initialization |
---|
581 | zfac12 = 1.e0 / 12.e0 |
---|
582 | |
---|
583 | ! Save ua and va trends |
---|
584 | IF( l_trddyn ) THEN |
---|
585 | ztdua(:,:,:) = ua(:,:,:) |
---|
586 | ztdva(:,:,:) = va(:,:,:) |
---|
587 | zcu(:,:,:) = 0.e0 |
---|
588 | zcv(:,:,:) = 0.e0 |
---|
589 | ENDIF |
---|
590 | |
---|
591 | ! ! =============== |
---|
592 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
593 | ! ! =============== |
---|
594 | |
---|
595 | ! Potential vorticity and horizontal fluxes |
---|
596 | ! ----------------------------------------- |
---|
597 | !!!bug zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) / fse3f(:,:,jk) |
---|
598 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) |
---|
599 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
600 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
601 | zcor(:,:) = ff(:,:) * ze3f(:,:,jk) |
---|
602 | |
---|
603 | ! Compute and add the vorticity term trend |
---|
604 | ! ---------------------------------------- |
---|
605 | jj=2 |
---|
606 | ztne(1,:) = 0 ; ztnw(1,:) = 0 ; ztse(1,:) = 0 ; ztsw(1,:) = 0 |
---|
607 | DO ji = 2, jpi |
---|
608 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
609 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
610 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
611 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
612 | END DO |
---|
613 | DO jj = 3, jpj |
---|
614 | DO ji = fs_2, jpi ! vector opt. |
---|
615 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
616 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
617 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
618 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
619 | END DO |
---|
620 | END DO |
---|
621 | |
---|
622 | DO jj = 2, jpjm1 |
---|
623 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
624 | zua = + zfac12 / e1u(ji,jj) * ( ztne(ji,jj ) * zwy(ji ,jj ) + ztnw(ji+1,jj) * zwy(ji+1,jj ) & |
---|
625 | & + ztse(ji,jj ) * zwy(ji ,jj-1) + ztsw(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
626 | zva = - zfac12 / e2v(ji,jj) * ( ztsw(ji,jj+1) * zwx(ji-1,jj+1) + ztse(ji,jj+1) * zwx(ji ,jj+1) & |
---|
627 | & + ztnw(ji,jj ) * zwx(ji-1,jj ) + ztne(ji,jj ) * zwx(ji ,jj ) ) |
---|
628 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
---|
629 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
---|
630 | END DO |
---|
631 | END DO |
---|
632 | ! ! =============== |
---|
633 | END DO ! End of slab |
---|
634 | ! ! =============== |
---|
635 | |
---|
636 | ! save the relative & planetary vorticity trends for diagnostic |
---|
637 | ! momentum trends |
---|
638 | IF( l_trddyn ) THEN |
---|
639 | ! Compute the planetary vorticity term trend |
---|
640 | ! ! =============== |
---|
641 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
642 | ! ! =============== |
---|
643 | DO jj = 2, jpjm1 |
---|
644 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
645 | zcu(ji,jj,jk) = + zfac12 / e1u(ji,jj) * ( zcor(ji,jj ) * zwy(ji ,jj ) + zcor(ji+1,jj) * zwy(ji+1,jj ) & |
---|
646 | & + zcor(ji,jj ) * zwy(ji ,jj-1) + zcor(ji+1,jj) * zwy(ji+1,jj-1) ) |
---|
647 | zcv(ji,jj,jk) = - zfac12 / e2v(ji,jj) * ( zcor(ji,jj+1) * zwx(ji-1,jj+1) + zcor(ji,jj+1) * zwx(ji ,jj+1) & |
---|
648 | & + zcor(ji,jj ) * zwx(ji-1,jj ) + zcor(ji,jj ) * zwx(ji ,jj ) ) |
---|
649 | END DO |
---|
650 | END DO |
---|
651 | ! ! =============== |
---|
652 | END DO ! End of slab |
---|
653 | ! ! =============== |
---|
654 | |
---|
655 | ! Compute the relative vorticity term trend |
---|
656 | ztdua(:,:,:) = ua(:,:,:) - ztdua(:,:,:) - zcu(:,:,:) |
---|
657 | ztdva(:,:,:) = va(:,:,:) - ztdva(:,:,:) - zcv(:,:,:) |
---|
658 | |
---|
659 | CALL trd_mod(zcu , zcv , jpdtdpvo, 'DYN', kt) |
---|
660 | CALL trd_mod(zcu , zcv , jpdtddat, 'DYN', kt) |
---|
661 | CALL trd_mod(ztdua, ztdva, jpdtdrvo, 'DYN', kt) |
---|
662 | ENDIF |
---|
663 | |
---|
664 | IF(l_ctl) THEN ! print sum trends (used for debugging) |
---|
665 | zua = SUM( ua(2:jpim1,2:jpjm1,1:jpkm1) * umask(2:jpim1,2:jpjm1,1:jpkm1) ) |
---|
666 | zva = SUM( va(2:jpim1,2:jpjm1,1:jpkm1) * vmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
---|
667 | WRITE(numout,*) ' vor een - Ua: ', zua-u_ctl, ' Va: ', zva-v_ctl |
---|
668 | u_ctl = zua ; v_ctl = zva |
---|
669 | ENDIF |
---|
670 | |
---|
671 | END SUBROUTINE dyn_vor_ene_ens |
---|
672 | |
---|
673 | |
---|
674 | SUBROUTINE dyn_vor_ctl |
---|
675 | !!--------------------------------------------------------------------- |
---|
676 | !! *** ROUTINE dyn_vor_ctl *** |
---|
677 | !! |
---|
678 | !! ** Purpose : Control the consistency between cpp options for |
---|
679 | !! tracer advection schemes |
---|
680 | !! |
---|
681 | !! History : |
---|
682 | !! 9.0 ! 03-08 (G. Madec) Original code |
---|
683 | !!---------------------------------------------------------------------- |
---|
684 | !! * Local declarations |
---|
685 | INTEGER :: ioptio = 0 ! temporary integer |
---|
686 | |
---|
687 | NAMELIST/nam_dynvor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
---|
688 | !!---------------------------------------------------------------------- |
---|
689 | |
---|
690 | ! Read Namelist nam_dynvor : Vorticity scheme options |
---|
691 | ! ------------------------ |
---|
692 | REWIND ( numnam ) |
---|
693 | READ ( numnam, nam_dynvor ) |
---|
694 | |
---|
695 | ! Control of vorticity scheme options |
---|
696 | ! ----------------------------------- |
---|
697 | ! Control print |
---|
698 | IF(lwp) THEN |
---|
699 | WRITE(numout,*) |
---|
700 | WRITE(numout,*) 'dyn_vor_ctl : vorticity term : read namelist and control the consistency' |
---|
701 | WRITE(numout,*) '~~~~~~~~~~~' |
---|
702 | WRITE(numout,*) ' Namelist nam_dynvor : oice of the vorticity term scheme' |
---|
703 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
704 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
705 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
706 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
707 | ENDIF |
---|
708 | |
---|
709 | IF( ln_dynvor_ens ) THEN |
---|
710 | IF(lwp) WRITE(numout,*) |
---|
711 | IF(lwp) WRITE(numout,*) ' vorticity term : enstrophy conserving scheme' |
---|
712 | ioptio = ioptio + 1 |
---|
713 | ENDIF |
---|
714 | IF( ln_dynvor_ene ) THEN |
---|
715 | IF(lwp) WRITE(numout,*) |
---|
716 | IF(lwp) WRITE(numout,*) ' vorticity term : energy conserving scheme' |
---|
717 | ioptio = ioptio + 1 |
---|
718 | ENDIF |
---|
719 | IF( ln_dynvor_mix ) THEN |
---|
720 | IF(lwp) WRITE(numout,*) |
---|
721 | IF(lwp) WRITE(numout,*) ' vorticity term : mixed enstrophy/energy conserving scheme' |
---|
722 | ioptio = ioptio + 1 |
---|
723 | ENDIF |
---|
724 | IF( ln_dynvor_een ) THEN |
---|
725 | IF(lwp) WRITE(numout,*) |
---|
726 | IF(lwp) WRITE(numout,*) ' vorticity term : energy and enstrophy conserving scheme' |
---|
727 | ioptio = ioptio + 1 |
---|
728 | ENDIF |
---|
729 | IF ( ioptio /= 1 .AND. .NOT. lk_esopa ) THEN |
---|
730 | WRITE(numout,cform_err) |
---|
731 | IF(lwp) WRITE(numout,*) ' use ONE and ONLY one vorticity scheme' |
---|
732 | nstop = nstop + 1 |
---|
733 | ENDIF |
---|
734 | |
---|
735 | END SUBROUTINE dyn_vor_ctl |
---|
736 | |
---|
737 | !!============================================================================== |
---|
738 | END MODULE dynvor |
---|