1 | MODULE dynnxt |
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2 | !!========================================================================= |
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3 | !! *** MODULE dynnxt *** |
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4 | !! Ocean dynamics: time stepping |
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5 | !!========================================================================= |
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6 | !! History : OPA ! 1987-02 (P. Andrich, D. L Hostis) Original code |
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7 | !! ! 1990-10 (C. Levy, G. Madec) |
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8 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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9 | !! 8.0 ! 1997-02 (G. Madec & M. Imbard) opa, release 8.0 |
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10 | !! 8.2 ! 1997-04 (A. Weaver) Euler forward step |
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11 | !! - ! 1997-06 (G. Madec) lateral boudary cond., lbc routine |
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12 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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13 | !! - ! 2002-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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14 | !! 2.0 ! 2005-11 (V. Garnier) Surface pressure gradient organization |
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15 | !! 2.3 ! 2007-07 (D. Storkey) Calls to BDY routines. |
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16 | !! 3.2 ! 2009-06 (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 | !! dyn_nxt : obtain the next (after) horizontal velocity |
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21 | !!------------------------------------------------------------------------- |
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22 | USE oce ! ocean dynamics and tracers |
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23 | USE dom_oce ! ocean space and time domain |
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24 | USE dynspg_oce ! type of surface pressure gradient |
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25 | USE dynadv ! dynamics: vector invariant versus flux form |
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26 | USE domvvl ! variable volume |
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27 | USE obc_oce ! ocean open boundary conditions |
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28 | USE obcdyn ! open boundary condition for momentum (obc_dyn routine) |
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29 | USE obcdyn_bt ! 2D open boundary condition for momentum (obc_dyn_bt routine) |
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30 | USE obcvol ! ocean open boundary condition (obc_vol routines) |
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31 | USE bdy_oce ! unstructured open boundary conditions |
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32 | USE bdydta ! unstructured open boundary conditions |
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33 | USE bdydyn ! unstructured open boundary conditions |
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34 | USE agrif_opa_update |
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35 | USE agrif_opa_interp |
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36 | USE in_out_manager ! I/O manager |
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37 | USE lbclnk ! lateral boundary condition (or mpp link) |
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38 | USE prtctl ! Print control |
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39 | |
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40 | IMPLICIT NONE |
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41 | PRIVATE |
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42 | |
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43 | PUBLIC dyn_nxt ! routine called by step.F90 |
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44 | |
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45 | !! * Substitutions |
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46 | # include "domzgr_substitute.h90" |
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47 | !!------------------------------------------------------------------------- |
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48 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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49 | !! $Id$ |
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50 | !! Software is governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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51 | !!------------------------------------------------------------------------- |
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52 | |
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53 | CONTAINS |
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54 | |
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55 | SUBROUTINE dyn_nxt ( kt ) |
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56 | !!---------------------------------------------------------------------- |
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57 | !! *** ROUTINE dyn_nxt *** |
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58 | !! |
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59 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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60 | !! condition on the after velocity, achieved the time stepping |
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61 | !! by applying the Asselin filter on now fields and swapping |
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62 | !! the fields. |
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63 | !! |
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64 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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65 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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66 | !! Note that with flux form advection and variable volume layer |
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67 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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68 | !! velocity. |
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69 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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70 | !! the time stepping has already been done in dynspg module |
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71 | !! |
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72 | !! * Apply lateral boundary conditions on after velocity |
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73 | !! at the local domain boundaries through lbc_lnk call, |
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74 | !! at the radiative open boundaries (lk_obc=T), |
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75 | !! at the relaxed open boundaries (lk_bdy=T), and |
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76 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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77 | !! |
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78 | !! * Apply the time filter applied and swap of the dynamics |
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79 | !! arrays to start the next time step: |
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80 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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81 | !! (un,vn) = (ua,va). |
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82 | !! Note that with flux form advection and variable volume layer |
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83 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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84 | !! velocity. |
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85 | !! |
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86 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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87 | !! un,vn now horizontal velocity of next time-step |
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88 | !!---------------------------------------------------------------------- |
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89 | #if defined key_vvl |
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90 | USE oce, ONLY : ze3u_f => ta ! use ta as 3D workspace |
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91 | USE oce, ONLY : ze3v_f => sa ! use sa as 3D workspace |
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92 | #endif |
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93 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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94 | !! |
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95 | INTEGER :: ji, jj, jk ! dummy loop indices |
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96 | #if ! defined key_dynspg_flt |
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97 | REAL(wp) :: z2dt ! temporary scalar |
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98 | #endif |
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99 | REAL(wp) :: zue3a , zue3n , zue3b ! temporary scalar |
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100 | REAL(wp) :: zve3a , zve3n , zve3b ! - - |
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101 | REAL(wp) :: zuf , zvf ! - - |
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102 | REAL(wp) :: zec ! - - |
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103 | REAL(wp) :: zv_t_ij , zv_t_ip1j ! - - |
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104 | REAL(wp) :: zv_t_ijp1 ! - - |
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105 | REAL(wp), DIMENSION(jpi,jpj) :: zs_t, zs_u_1, zs_v_1 ! temporary 2D workspace |
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106 | !!---------------------------------------------------------------------- |
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107 | |
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108 | IF( kt == nit000 ) THEN |
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109 | IF(lwp) WRITE(numout,*) |
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110 | IF(lwp) WRITE(numout,*) 'dyn_nxt : time stepping' |
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111 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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112 | ENDIF |
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113 | |
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114 | #if defined key_dynspg_flt |
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115 | ! |
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116 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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117 | ! ------------- |
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118 | |
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119 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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120 | ! -------------------------------------------------- |
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121 | CALL lbc_lnk( ua, 'U', -1. ) ! local domain boundaries |
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122 | CALL lbc_lnk( va, 'V', -1. ) |
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123 | ! |
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124 | #else |
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125 | ! Next velocity : Leap-frog time stepping |
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126 | ! ------------- |
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127 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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128 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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129 | ! |
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130 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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131 | DO jk = 1, jpkm1 |
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132 | ua(:,:,jk) = ( ub(:,:,jk) + z2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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133 | va(:,:,jk) = ( vb(:,:,jk) + z2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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134 | END DO |
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135 | ELSE ! applied on thickness weighted velocity |
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136 | DO jk = 1, jpkm1 |
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137 | ua(:,:,jk) = ( ub(:,:,jk) * fse3u_b(:,:,jk) & |
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138 | & + z2dt * ua(:,:,jk) * fse3u_n(:,:,jk) ) & |
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139 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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140 | va(:,:,jk) = ( vb(:,:,jk) * fse3v_b(:,:,jk) & |
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141 | & + z2dt * va(:,:,jk) * fse3v_n(:,:,jk) ) & |
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142 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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143 | END DO |
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144 | ENDIF |
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145 | |
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146 | |
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147 | ! Update after velocity on domain lateral boundaries |
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148 | ! -------------------------------------------------- |
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149 | CALL lbc_lnk( ua, 'U', -1. ) !* local domain boundaries |
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150 | CALL lbc_lnk( va, 'V', -1. ) |
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151 | ! |
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152 | # if defined key_obc |
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153 | ! !* OBC open boundaries |
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154 | CALL obc_dyn( kt ) |
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155 | ! |
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156 | IF ( lk_dynspg_exp .OR. lk_dynspg_ts ) THEN |
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157 | ! Flather boundary condition : - Update sea surface height on each open boundary |
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158 | ! sshn (= after ssh ) for explicit case |
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159 | ! sshn_b (= after ssha_b) for time-splitting case |
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160 | ! - Correct the barotropic velocities |
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161 | CALL obc_dyn_bt( kt ) |
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162 | ! |
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163 | !!gm ERROR - potential BUG: sshn should not be modified at this stage !! ssh_nxt not alrady called |
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164 | CALL lbc_lnk( sshn, 'T', 1. ) ! Boundary conditions on sshn |
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165 | ! |
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166 | IF( ln_vol_cst ) CALL obc_vol( kt ) |
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167 | ! |
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168 | IF(ln_ctl) CALL prt_ctl( tab2d_1=sshn, clinfo1=' ssh : ', mask1=tmask ) |
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169 | ENDIF |
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170 | ! |
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171 | # elif defined key_bdy |
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172 | ! !* BDY open boundaries |
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173 | !RB all this part should be in a specific routine |
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174 | IF( lk_dynspg_exp .OR. lk_dynspg_ts ) THEN ! except for filtered option |
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175 | ! |
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176 | CALL bdy_dyn_frs( kt ) |
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177 | ! |
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178 | IF( ln_bdy_dyn_fla ) THEN |
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179 | ua_e(:,:) = 0.e0 |
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180 | va_e(:,:) = 0.e0 |
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181 | ! Set these variables for use in bdy_dyn_fla |
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182 | hur_e(:,:) = hur(:,:) |
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183 | hvr_e(:,:) = hvr(:,:) |
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184 | DO jk = 1, jpkm1 !! Vertically integrated momentum trends |
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185 | ua_e(:,:) = ua_e(:,:) + fse3u(:,:,jk) * umask(:,:,jk) * ua(:,:,jk) |
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186 | va_e(:,:) = va_e(:,:) + fse3v(:,:,jk) * vmask(:,:,jk) * va(:,:,jk) |
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187 | END DO |
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188 | ua_e(:,:) = ua_e(:,:) * hur(:,:) |
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189 | va_e(:,:) = va_e(:,:) * hvr(:,:) |
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190 | DO jk = 1 , jpkm1 |
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191 | ua(:,:,jk) = ua(:,:,jk) - ua_e(:,:) |
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192 | va(:,:,jk) = va(:,:,jk) - va_e(:,:) |
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193 | END DO |
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194 | CALL bdy_dta_bt( kt+1, 0) |
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195 | CALL bdy_dyn_fla( sshn_b ) |
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196 | CALL lbc_lnk( ua_e, 'U', -1. ) ! Boundary points should be updated |
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197 | CALL lbc_lnk( va_e, 'V', -1. ) ! |
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198 | DO jk = 1 , jpkm1 |
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199 | ua(:,:,jk) = ( ua(:,:,jk) + ua_e(:,:) ) * umask(:,:,jk) |
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200 | va(:,:,jk) = ( va(:,:,jk) + va_e(:,:) ) * vmask(:,:,jk) |
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201 | END DO |
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202 | ENDIF |
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203 | ! |
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204 | ENDIF |
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205 | # endif |
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206 | ! |
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207 | # if defined key_agrif |
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208 | CALL Agrif_dyn( kt ) !* AGRIF zoom boundaries |
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209 | # endif |
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210 | #endif |
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211 | |
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212 | ! Time filter and swap of dynamics arrays |
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213 | ! ------------------------------------------ |
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214 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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215 | DO jk = 1, jpkm1 |
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216 | un(:,:,jk) = ua(:,:,jk) ! un <-- ua |
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217 | vn(:,:,jk) = va(:,:,jk) |
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218 | END DO |
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219 | ELSE !* Leap-Frog : Asselin filter and swap |
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220 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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221 | DO jk = 1, jpkm1 |
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222 | DO jj = 1, jpj |
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223 | DO ji = 1, jpi |
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224 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0 * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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225 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0 * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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226 | ! |
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227 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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228 | vb(ji,jj,jk) = zvf |
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229 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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230 | vn(ji,jj,jk) = va(ji,jj,jk) |
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231 | END DO |
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232 | END DO |
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233 | END DO |
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234 | ELSE ! applied on thickness weighted velocity |
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235 | ! Before scale factors at (t/u/v)-points (actually "now filtered" and futur "before") |
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236 | ! ====================================== |
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237 | ! Scale factor at t-points |
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238 | ! ------------------------ |
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239 | fse3t_b(:,:,:) = fse3t_n(:,:,:) + atfp * fse3t_m(:,:,:) |
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240 | ! Add volume filter correction only at the first level of t-point scale factors |
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241 | zec = atfp * rdt / rau0 |
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242 | fse3t_b(:,:,1) = fse3t_b(:,:,1) - zec * ( emp_b(:,:) - emp(:,:) ) * tmask(:,:,1) |
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243 | ! Scale factor at (u/v)-points |
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244 | ! ------------------------ |
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245 | ! surface at t-points and inverse surface at (u/v)-points used in surface averaging computations |
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246 | zs_t (:,:) = e1t(:,:) * e2t(:,:) |
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247 | zs_u_1(:,:) = 0.5 / e1u(:,:) * e2u(:,:) |
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248 | zs_v_1(:,:) = 0.5 / e1v(:,:) * e2v(:,:) |
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249 | ! Scale factor anomaly at (u/v)-points: surface averaging of scale factor at t-points |
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250 | DO jk = 1, jpkm1 |
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251 | DO jj = 1, jpjm1 |
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252 | DO ji = 1, jpim1 |
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253 | zv_t_ij = zs_t(ji ,jj ) * fse3t_b(ji ,jj ,jk) |
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254 | zv_t_ip1j = zs_t(ji+1,jj ) * fse3t_b(ji+1,jj ,jk) |
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255 | zv_t_ijp1 = zs_t(ji ,jj+1) * fse3t_b(ji ,jj+1,jk) |
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256 | ze3u_f(ji,jj,jk) = umask(ji,jj,jk) * ( zs_u_1(ji,jj) * ( zv_t_ij + zv_t_ip1j ) - fse3u_0(ji,jj,jk) ) |
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257 | ze3v_f(ji,jj,jk) = vmask(ji,jj,jk) * ( zs_v_1(ji,jj) * ( zv_t_ij + zv_t_ijp1 ) - fse3v_0(ji,jj,jk) ) |
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258 | END DO |
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259 | END DO |
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260 | END DO |
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261 | CALL lbc_lnk( ze3u_f, 'U', 1. ) ! lateral boundary conditions |
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262 | CALL lbc_lnk( ze3v_f, 'U', 1. ) |
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263 | ! Add initial scale factor to scale factor anomaly |
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264 | ze3u_f(:,:,:) = ze3u_f(:,:,:) + fse3u_0(:,:,:) |
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265 | ze3v_f(:,:,:) = ze3v_f(:,:,:) + fse3v_0(:,:,:) |
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266 | |
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267 | DO jk = 1, jpkm1 |
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268 | DO jj = 1, jpj |
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269 | DO ji = 1, jpim |
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270 | zue3a = ua(ji,jj,jk) * fse3u_a(ji,jj,jk) |
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271 | zve3a = va(ji,jj,jk) * fse3v_a(ji,jj,jk) |
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272 | zue3n = un(ji,jj,jk) * fse3u_n(ji,jj,jk) |
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273 | zve3n = vn(ji,jj,jk) * fse3v_n(ji,jj,jk) |
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274 | zue3b = ub(ji,jj,jk) * fse3u_b(ji,jj,jk) |
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275 | zve3b = vb(ji,jj,jk) * fse3v_b(ji,jj,jk) |
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276 | ! |
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277 | zuf = ( zue3n + atfp * ( zue3b - 2.e0 * zue3n + zue3a ) ) / ze3u_f(ji,jj,jk) |
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278 | zvf = ( zve3n + atfp * ( zve3b - 2.e0 * zve3n + zve3a ) ) / ze3v_f(ji,jj,jk) |
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279 | ! |
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280 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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281 | vb(ji,jj,jk) = zvf |
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282 | fse3u_b(ji,jj,jk) = ze3u_f(ji,jj,jk) ! e3u_b <-- filtered scale factor |
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283 | fse3v_b(ji,jj,jk) = ze3v_f(ji,jj,jk) |
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284 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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285 | vn(ji,jj,jk) = va(ji,jj,jk) |
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286 | END DO |
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287 | END DO |
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288 | END DO |
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289 | CALL lbc_lnk( ub, 'U', -1. ) ! local domain boundaries |
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290 | CALL lbc_lnk( vb, 'V', -1. ) |
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291 | ENDIF |
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292 | ENDIF |
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293 | |
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294 | #if defined key_agrif |
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295 | ! Update velocity at AGRIF zoom boundaries |
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296 | IF (.NOT.Agrif_Root()) CALL Agrif_Update_Dyn( kt ) |
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297 | #endif |
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298 | |
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299 | IF(ln_ctl) CALL prt_ctl( tab3d_1=un, clinfo1=' nxt - Un: ', mask1=umask, & |
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300 | & tab3d_2=vn, clinfo2=' Vn: ' , mask2=vmask ) |
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301 | ! |
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302 | END SUBROUTINE dyn_nxt |
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303 | |
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304 | !!========================================================================= |
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305 | END MODULE dynnxt |
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