1 | MODULE tranxt |
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2 | !!====================================================================== |
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3 | !! *** MODULE tranxt *** |
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4 | !! Ocean active tracers: time stepping on temperature and salinity |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 1991-11 (G. Madec) Original code |
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7 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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8 | !! 8.0 ! 1996-02 (G. Madec & M. Imbard) opa release 8.0 |
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9 | !! - ! 1996-04 (A. Weaver) Euler forward step |
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10 | !! 8.2 ! 1999-02 (G. Madec, N. Grima) semi-implicit pressure grad. |
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11 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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12 | !! - ! 2002-11 (C. Talandier, A-M Treguier) Open boundaries |
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13 | !! - ! 2005-04 (C. Deltel) Add Asselin trend in the ML budget |
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14 | !! 2.0 ! 2006-02 (L. Debreu, C. Mazauric) Agrif implementation |
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15 | !! 3.0 ! 2008-06 (G. Madec) time stepping always done in trazdf |
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16 | !! 3.1 ! 2009-02 (G. Madec, R. Benshila) re-introduce the vvl option |
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17 | !!---------------------------------------------------------------------- |
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18 | |
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19 | !!---------------------------------------------------------------------- |
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20 | !! tra_nxt : time stepping on temperature and salinity |
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21 | !! tra_nxt_fix : time stepping on temperature and salinity : fixed volume case |
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22 | !! tra_nxt_vvl : time stepping on temperature and salinity : variable volume case |
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23 | !!---------------------------------------------------------------------- |
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24 | USE oce ! ocean dynamics and tracers variables |
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25 | USE dom_oce ! ocean space and time domain variables |
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26 | USE zdf_oce ! ??? |
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27 | USE domvvl ! variable volume |
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28 | USE dynspg_oce ! surface pressure gradient variables |
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29 | USE dynhpg ! hydrostatic pressure gradient |
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30 | USE trdmod_oce ! ocean variables trends |
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31 | USE trdmod ! ocean active tracers trends |
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32 | USE phycst |
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33 | USE obctra ! open boundary condition (obc_tra routine) |
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34 | USE bdytra ! Unstructured open boundary condition (bdy_tra routine) |
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35 | USE in_out_manager ! I/O manager |
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36 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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37 | USE prtctl ! Print control |
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38 | USE obc_oce |
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39 | #if defined key_agrif |
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40 | USE agrif_opa_update |
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41 | USE agrif_opa_interp |
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42 | USE obc_oce |
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43 | #endif |
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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 tra_nxt ! routine called by step.F90 |
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49 | |
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50 | REAL(wp), DIMENSION(jpk) :: r2dt_t ! vertical profile time step, =2*rdttra (leapfrog) or =rdttra (Euler) |
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51 | |
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52 | !! * Substitutions |
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53 | # include "domzgr_substitute.h90" |
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54 | !!---------------------------------------------------------------------- |
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55 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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56 | !! $Id$ |
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57 | !! Software governed by the CeCILL licence (NEMOGCM/License_CeCILL.txt) |
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58 | !!---------------------------------------------------------------------- |
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59 | |
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60 | CONTAINS |
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61 | |
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62 | SUBROUTINE tra_nxt( kt ) |
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63 | !!---------------------------------------------------------------------- |
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64 | !! *** ROUTINE tranxt *** |
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65 | !! |
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66 | !! ** Purpose : Apply the boundary condition on the after temperature |
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67 | !! and salinity fields, achieved the time stepping by adding |
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68 | !! the Asselin filter on now fields and swapping the fields. |
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69 | !! |
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70 | !! ** Method : At this stage of the computation, ta and sa are the |
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71 | !! after temperature and salinity as the time stepping has |
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72 | !! been performed in trazdf_imp or trazdf_exp module. |
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73 | !! |
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74 | !! - Apply lateral boundary conditions on (ta,sa) |
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75 | !! at the local domain boundaries through lbc_lnk call, |
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76 | !! at the radiative open boundaries (lk_obc=T), |
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77 | !! at the relaxed open boundaries (lk_bdy=T), and |
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78 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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79 | !! |
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80 | !! - Update lateral boundary conditions on AGRIF children |
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81 | !! domains (lk_agrif=T) |
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82 | !! |
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83 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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84 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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85 | !!---------------------------------------------------------------------- |
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86 | USE oce, ONLY : ztrdt => ua ! use ua as 3D workspace |
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87 | USE oce, ONLY : ztrds => va ! use va as 3D workspace |
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88 | !! |
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89 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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90 | !! |
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91 | INTEGER :: jk ! dummy loop indices |
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92 | REAL(wp) :: zfact ! temporary scalars |
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93 | !!---------------------------------------------------------------------- |
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94 | |
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95 | IF( kt == nit000 ) THEN |
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96 | IF(lwp) WRITE(numout,*) |
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97 | IF(lwp) WRITE(numout,*) 'tra_nxt : achieve the time stepping by Asselin filter and array swap' |
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98 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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99 | ENDIF |
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100 | |
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101 | ! Update after tracer on domain lateral boundaries |
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102 | ! |
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103 | CALL lbc_lnk( ta, 'T', 1. ) ! local domain boundaries (T-point, unchanged sign) |
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104 | CALL lbc_lnk( sa, 'T', 1. ) |
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105 | ! |
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106 | #if defined key_obc |
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107 | IF( lk_obc ) CALL obc_tra( kt ) ! OBC open boundaries |
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108 | #endif |
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109 | #if defined key_bdy |
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110 | CALL bdy_tra( kt ) ! BDY open boundaries |
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111 | #endif |
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112 | #if defined key_agrif |
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113 | CALL Agrif_tra ! AGRIF zoom boundaries |
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114 | #endif |
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115 | |
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116 | ! set time step size (Euler/Leapfrog) |
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117 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt_t(:) = rdttra(:) ! at nit000 (Euler) |
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118 | ELSEIF( kt <= nit000 + 1 ) THEN ; r2dt_t(:) = 2.* rdttra(:) ! at nit000 or nit000+1 (Leapfrog) |
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119 | ENDIF |
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120 | |
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121 | ! trends computation initialisation |
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122 | IF( l_trdtra ) THEN ! store now fields before applying the Asselin filter |
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123 | ztrdt(:,:,:) = tn(:,:,:) |
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124 | ztrds(:,:,:) = sn(:,:,:) |
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125 | ENDIF |
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126 | |
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127 | ! Leap-Frog + Asselin filter time stepping |
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128 | IF( lk_vvl ) THEN ; CALL tra_nxt_vvl( kt ) ! variable volume level (vvl) |
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129 | ELSE ; CALL tra_nxt_fix( kt ) ! fixed volume level |
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130 | ENDIF |
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131 | |
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132 | #if defined key_agrif |
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133 | ! Update tracer at AGRIF zoom boundaries |
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134 | IF( .NOT.Agrif_Root() ) CALL Agrif_Update_Tra( kt ) ! children only |
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135 | #endif |
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136 | |
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137 | ! trends computation |
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138 | IF( l_trdtra ) THEN ! trend of the Asselin filter (tb filtered - tb)/dt |
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139 | DO jk = 1, jpkm1 |
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140 | zfact = 1.e0 / r2dt_t(jk) |
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141 | ztrdt(:,:,jk) = ( tb(:,:,jk) - ztrdt(:,:,jk) ) * zfact |
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142 | ztrds(:,:,jk) = ( sb(:,:,jk) - ztrds(:,:,jk) ) * zfact |
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143 | END DO |
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144 | CALL trd_mod( ztrdt, ztrds, jptra_trd_atf, 'TRA', kt ) |
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145 | END IF |
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146 | |
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147 | ! ! control print |
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148 | IF(ln_ctl) CALL prt_ctl( tab3d_1=tn, clinfo1=' nxt - Tn: ', mask1=tmask, & |
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149 | & tab3d_2=sn, clinfo2= ' Sn: ', mask2=tmask ) |
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150 | ! |
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151 | END SUBROUTINE tra_nxt |
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152 | |
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153 | |
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154 | SUBROUTINE tra_nxt_fix( kt ) |
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155 | !!---------------------------------------------------------------------- |
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156 | !! *** ROUTINE tra_nxt_fix *** |
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157 | !! |
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158 | !! ** Purpose : fixed volume: apply the Asselin time filter and |
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159 | !! swap the tracer fields. |
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160 | !! |
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161 | !! ** Method : - Apply a Asselin time filter on now fields. |
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162 | !! - save in (ta,sa) an average over the three time levels |
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163 | !! which will be used to compute rdn and thus the semi-implicit |
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164 | !! hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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165 | !! - swap tracer fields to prepare the next time_step. |
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166 | !! This can be summurized for tempearture as: |
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167 | !! ztm = (ta+2tn+tb)/4 ln_dynhpg_imp = T |
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168 | !! ztm = 0 otherwise |
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169 | !! tb = tn + atfp*[ tb - 2 tn + ta ] |
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170 | !! tn = ta |
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171 | !! ta = ztm (NB: reset to 0 after eos_bn2 call) |
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172 | !! |
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173 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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174 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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175 | !!---------------------------------------------------------------------- |
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176 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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177 | !! |
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178 | INTEGER :: ji, jj, jk ! dummy loop indices |
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179 | REAL(wp) :: ztm, ztf ! temporary scalars |
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180 | REAL(wp) :: zsm, zsf ! - - |
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181 | !!---------------------------------------------------------------------- |
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182 | |
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183 | IF( kt == nit000 ) THEN |
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184 | IF(lwp) WRITE(numout,*) |
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185 | IF(lwp) WRITE(numout,*) 'tra_nxt_fix : time stepping' |
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186 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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187 | ENDIF |
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188 | ! |
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189 | ! ! ----------------------- ! |
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190 | IF( ln_dynhpg_imp ) THEN ! semi-implicite hpg case ! |
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191 | ! ! ----------------------- ! |
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192 | ! |
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193 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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194 | DO jk = 1, jpkm1 ! (only swap) |
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195 | DO jj = 1, jpj |
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196 | DO ji = 1, jpi |
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197 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tb <-- tn |
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198 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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199 | END DO |
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200 | END DO |
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201 | END DO |
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202 | ELSE ! general case (Leapfrog + Asselin filter |
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203 | DO jk = 1, jpkm1 |
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204 | DO jj = 1, jpj |
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205 | DO ji = 1, jpi |
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206 | ztm = 0.25 * ( ta(ji,jj,jk) + 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! mean t |
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207 | zsm = 0.25 * ( sa(ji,jj,jk) + 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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208 | ztf = atfp * ( ta(ji,jj,jk) - 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! Asselin filter on t |
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209 | zsf = atfp * ( sa(ji,jj,jk) - 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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210 | tb(ji,jj,jk) = tn(ji,jj,jk) + ztf ! tb <-- filtered tn |
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211 | sb(ji,jj,jk) = sn(ji,jj,jk) + zsf |
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212 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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213 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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214 | ta(ji,jj,jk) = ztm ! ta <-- mean t |
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215 | sa(ji,jj,jk) = zsm |
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216 | END DO |
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217 | END DO |
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218 | END DO |
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219 | ENDIF |
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220 | ! ! ----------------------- ! |
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221 | ELSE ! explicit hpg case ! |
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222 | ! ! ----------------------- ! |
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223 | ! |
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224 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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225 | DO jk = 1, jpkm1 |
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226 | DO jj = 1, jpj |
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227 | DO ji = 1, jpi |
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228 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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229 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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230 | END DO |
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231 | END DO |
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232 | END DO |
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233 | ELSE ! general case (Leapfrog + Asselin filter |
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234 | DO jk = 1, jpkm1 |
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235 | DO jj = 1, jpj |
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236 | DO ji = 1, jpi |
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237 | ztf = atfp * ( ta(ji,jj,jk) - 2.* tn(ji,jj,jk) + tb(ji,jj,jk) ) ! Asselin filter on t |
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238 | zsf = atfp * ( sa(ji,jj,jk) - 2.* sn(ji,jj,jk) + sb(ji,jj,jk) ) |
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239 | tb(ji,jj,jk) = tn(ji,jj,jk) + ztf ! tb <-- filtered tn |
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240 | sb(ji,jj,jk) = sn(ji,jj,jk) + zsf |
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241 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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242 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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243 | END DO |
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244 | END DO |
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245 | END DO |
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246 | ENDIF |
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247 | ENDIF |
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248 | ! |
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249 | END SUBROUTINE tra_nxt_fix |
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250 | |
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251 | |
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252 | SUBROUTINE tra_nxt_vvl( kt ) |
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253 | !!---------------------------------------------------------------------- |
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254 | !! *** ROUTINE tra_nxt_vvl *** |
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255 | !! |
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256 | !! ** Purpose : Time varying volume: apply the Asselin time filter |
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257 | !! and swap the tracer fields. |
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258 | !! |
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259 | !! ** Method : - Apply a thickness weighted Asselin time filter on now fields. |
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260 | !! - save in (ta,sa) a thickness weighted average over the three |
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261 | !! time levels which will be used to compute rdn and thus the semi- |
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262 | !! implicit hydrostatic pressure gradient (ln_dynhpg_imp = T) |
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263 | !! - swap tracer fields to prepare the next time_step. |
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264 | !! This can be summurized for tempearture as: |
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265 | !! ztm = (e3t_a*ta+2*e3t_n*tn+e3t_b*tb) ln_dynhpg_imp = T |
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266 | !! /(e3t_a +2*e3t_n +e3t_b ) |
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267 | !! ztm = 0 otherwise |
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268 | !! tb = ( e3t_n*tn + atfp*[ e3t_b*tb - 2 e3t_n*tn + e3t_a*ta ] ) |
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269 | !! /( e3t_n + atfp*[ e3t_b - 2 e3t_n + e3t_a ] ) |
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270 | !! tn = ta |
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271 | !! ta = zt (NB: reset to 0 after eos_bn2 call) |
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272 | !! |
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273 | !! ** Action : - (tb,sb) and (tn,sn) ready for the next time step |
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274 | !! - (ta,sa) time averaged (t,s) (ln_dynhpg_imp = T) |
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275 | !!---------------------------------------------------------------------- |
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276 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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277 | !! |
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278 | INTEGER :: ji, jj, jk ! dummy loop indices |
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279 | REAL(wp) :: ztm , ztc_f , ztf , ztca, ztcn, ztcb ! temporary scalar |
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280 | REAL(wp) :: zsm , zsc_f , zsf , zsca, zscn, zscb ! - - |
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281 | REAL(wp) :: ze3mr, ze3fr ! - - |
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282 | REAL(wp) :: ze3t_b, ze3t_n, ze3t_a, ze3t_f ! - - |
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283 | !!---------------------------------------------------------------------- |
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284 | |
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285 | IF( kt == nit000 ) THEN |
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286 | IF(lwp) WRITE(numout,*) |
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287 | IF(lwp) WRITE(numout,*) 'tra_nxt_vvl : time stepping' |
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288 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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289 | ENDIF |
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290 | |
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291 | ! ! ----------------------- ! |
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292 | IF( ln_dynhpg_imp ) THEN ! semi-implicite hpg case ! |
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293 | ! ! ----------------------- ! |
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294 | ! |
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295 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step |
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296 | DO jk = 1, jpkm1 ! (only swap) |
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297 | DO jj = 1, jpj |
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298 | DO ji = 1, jpi |
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299 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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300 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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301 | END DO |
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302 | END DO |
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303 | END DO |
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304 | ELSE |
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305 | DO jk = 1, jpkm1 |
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306 | DO jj = 1, jpj |
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307 | DO ji = 1, jpi |
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308 | ze3t_b = fse3t_b(ji,jj,jk) |
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309 | ze3t_n = fse3t_n(ji,jj,jk) |
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310 | ze3t_a = fse3t_a(ji,jj,jk) |
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311 | ! ! tracer content at Before, now and after |
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312 | ztcb = tb(ji,jj,jk) * ze3t_b ; zscb = sb(ji,jj,jk) * ze3t_b |
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313 | ztcn = tn(ji,jj,jk) * ze3t_n ; zscn = sn(ji,jj,jk) * ze3t_n |
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314 | ztca = ta(ji,jj,jk) * ze3t_a ; zsca = sa(ji,jj,jk) * ze3t_a |
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315 | ! |
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316 | ! ! Asselin filter on thickness and tracer content |
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317 | ze3t_f = atfp * ( ze3t_a - 2.* ze3t_n + ze3t_b ) |
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318 | ztc_f = atfp * ( ztca - 2.* ztcn + ztcb ) |
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319 | zsc_f = atfp * ( zsca - 2.* zscn + zscb ) |
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320 | ! |
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321 | ! ! filtered tracer including the correction |
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322 | ze3fr = 1.e0 / ( ze3t_n + ze3t_f ) |
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323 | ztf = ze3fr * ( ztcn + ztc_f ) |
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324 | zsf = ze3fr * ( zscn + zsc_f ) |
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325 | ! ! mean thickness and tracer |
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326 | ze3mr = 1.e0 / ( ze3t_a + 2.* ze3t_n + ze3t_b ) |
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327 | ztm = ze3mr * ( ztca + 2.* ztcn + ztcb ) |
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328 | zsm = ze3mr * ( zsca + 2.* zscn + zscb ) |
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329 | !!gm mean e3t have to be saved and used in dynhpg or it can be recomputed in dynhpg !! |
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330 | !!gm e3t_m(ji,jj,jk) = 0.25 / ze3mr |
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331 | ! ! swap of arrays |
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332 | tb(ji,jj,jk) = ztf ! tb <-- tn + filter |
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333 | sb(ji,jj,jk) = zsf |
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334 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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335 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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336 | ta(ji,jj,jk) = ztm ! ta <-- mean t |
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337 | sa(ji,jj,jk) = zsm |
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338 | END DO |
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339 | END DO |
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340 | END DO |
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341 | ENDIF |
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342 | ! ! ----------------------- ! |
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343 | ELSE ! explicit hpg case ! |
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344 | ! ! ----------------------- ! |
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345 | ! |
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346 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! case of Euler time-stepping at first time-step |
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347 | DO jk = 1, jpkm1 ! No filter nor thickness weighting computation required |
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348 | DO jj = 1, jpj ! ONLY swap |
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349 | DO ji = 1, jpi |
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350 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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351 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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352 | END DO |
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353 | END DO |
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354 | END DO |
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355 | ! ! general case (Leapfrog + Asselin filter) |
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356 | ELSE ! apply filter on thickness weighted tracer and swap |
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357 | DO jk = 1, jpkm1 |
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358 | DO jj = 1, jpj |
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359 | DO ji = 1, jpi |
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360 | ze3t_b = fse3t_b(ji,jj,jk) |
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361 | ze3t_n = fse3t_n(ji,jj,jk) |
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362 | ze3t_a = fse3t_a(ji,jj,jk) |
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363 | ! ! tracer content at Before, now and after |
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364 | ztcb = tb(ji,jj,jk) * ze3t_b ; zscb = sb(ji,jj,jk) * ze3t_b |
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365 | ztcn = tn(ji,jj,jk) * ze3t_n ; zscn = sn(ji,jj,jk) * ze3t_n |
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366 | ztca = ta(ji,jj,jk) * ze3t_a ; zsca = sa(ji,jj,jk) * ze3t_a |
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367 | ! |
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368 | ! ! Asselin filter on thickness and tracer content |
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369 | ze3t_f = atfp * ( ze3t_a - 2.* ze3t_n + ze3t_b ) |
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370 | ztc_f = atfp * ( ztca - 2.* ztcn + ztcb ) |
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371 | zsc_f = atfp * ( zsca - 2.* zscn + zscb ) |
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372 | ! |
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373 | ! ! filtered tracer including the correction |
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374 | ze3fr = 1.e0 / ( ze3t_n + ze3t_f ) |
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375 | ztf = ( ztcn + ztc_f ) * ze3fr |
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376 | zsf = ( zscn + zsc_f ) * ze3fr |
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377 | ! ! swap of arrays |
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378 | tb(ji,jj,jk) = ztf ! tb <-- tn filtered |
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379 | sb(ji,jj,jk) = zsf |
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380 | tn(ji,jj,jk) = ta(ji,jj,jk) ! tn <-- ta |
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381 | sn(ji,jj,jk) = sa(ji,jj,jk) |
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382 | END DO |
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383 | END DO |
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384 | END DO |
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385 | ENDIF |
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386 | ENDIF |
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387 | ! |
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388 | END SUBROUTINE tra_nxt_vvl |
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389 | |
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390 | !!====================================================================== |
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391 | END MODULE tranxt |
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