1 | MODULE ldfdyn_smag |
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2 | !!====================================================================== |
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3 | !! *** MODULE ldftrasmag *** |
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4 | !! Ocean physics: variable eddy induced velocity coefficients |
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5 | !!====================================================================== |
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6 | #if defined key_dynldf_smag && defined key_dynldf_c3d |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_dynldf_smag' and smagorinsky diffusivity |
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9 | !! 'key_dynldf_c3d' 3D tracer lateral mixing coef. |
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10 | !!---------------------------------------------------------------------- |
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11 | !! ldf_eiv : compute the eddy induced velocity coefficients |
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12 | !!---------------------------------------------------------------------- |
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13 | !! * Modules used |
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14 | USE oce ! ocean dynamics and tracers |
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15 | USE dom_oce ! ocean space and time domain |
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16 | USE sbc_oce ! surface boundary condition: ocean |
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17 | USE sbcrnf ! river runoffs |
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18 | USE ldfdyn_oce ! ocean tracer lateral physics |
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19 | USE phycst ! physical constants |
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20 | USE ldfslp ! iso-neutral slopes |
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21 | USE in_out_manager ! I/O manager |
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22 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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23 | USE prtctl ! Print control |
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24 | USE iom |
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25 | USE wrk_nemo |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | !! * Routine accessibility |
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30 | PUBLIC ldf_dyn_smag ! routine called by step.F90 |
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31 | !!---------------------------------------------------------------------- |
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32 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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33 | !! $Id$ |
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34 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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35 | !!---------------------------------------------------------------------- |
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36 | !! * Substitutions |
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37 | # include "domzgr_substitute.h90" |
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38 | # include "vectopt_loop_substitute.h90" |
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39 | !!---------------------------------------------------------------------- |
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40 | |
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41 | CONTAINS |
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42 | |
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43 | |
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44 | |
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45 | |
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46 | |
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47 | !!---------------------------------------------------------------------- |
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48 | !! *** ldfdyn_smag.F90 *** |
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49 | !!---------------------------------------------------------------------- |
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50 | |
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51 | !!---------------------------------------------------------------------- |
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52 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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53 | !! $Id$ |
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54 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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55 | !!---------------------------------------------------------------------- |
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56 | |
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57 | !!---------------------------------------------------------------------- |
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58 | !! 'key_dynldf_smag' 3D lateral eddy viscosity coefficients |
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59 | !!---------------------------------------------------------------------- |
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60 | |
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61 | SUBROUTINE ldf_dyn_smag( kt ) |
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62 | !!---------------------------------------------------------------------- |
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63 | !! *** ROUTINE ldf_dyn_smag *** |
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64 | !! |
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65 | !! ** Purpose : initializations of the horizontal ocean physics |
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66 | !! |
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67 | !! ** Method : 3D eddy viscosity coef. |
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68 | !! M.Griffies, R.Hallberg AMS, 2000 |
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69 | !! for laplacian: |
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70 | !! Asmag=(C/pi)^2*dx*dy sqrt(D^2), C=3-4 |
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71 | !! for bilaplacian: |
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72 | !! Bsmag=Asmag*dx*dy/8 |
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73 | !! D^2=(du/dx-dv/dy)^2+(dv/dx+du/dy)^2 for Cartesian coordinates |
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74 | !! in general case du/dx ==> e2 d(u/e2)/dx; du/dy ==> e1 d(u/e1)/dy; |
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75 | !! dv/dx ==> e2 d(v/e2)/dx; dv/dy ==> e1 d(v/e1)/dy |
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76 | !! |
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77 | !! laplacian operator : ahm1, ahm2 defined at T- and F-points |
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78 | !! ahm3, ahm4 never used |
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79 | !! bilaplacian operator : ahm1, ahm2 never used |
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80 | !! : ahm3, ahm4 defined at U- and V-points |
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81 | !! explanation of the default is missingi |
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82 | !! last modified : Maria Luneva, September 2011 |
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83 | !!---------------------------------------------------------------------- |
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84 | !! * Modules used |
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85 | !! ahm0 here is a background viscosity |
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86 | |
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87 | !! * Arguments |
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88 | |
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89 | !! * local variables |
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90 | |
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91 | INTEGER :: kt ! timestep |
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92 | |
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93 | INTEGER :: ji, jj, jk ! dummy loop indices |
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94 | REAL (wp):: zdeltat,zdeltaf,zdeltau,zdeltav ! temporary scalars |
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95 | REAL (wp), POINTER, DIMENSION (:,:) :: zux, zuy , zvx ,zvy, zue1, zue2, zve1, zve2 |
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96 | REAL (wp):: zcmsmag_1, zcmsmag_2 , zcmsh |
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97 | |
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98 | |
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99 | !!---------------------------------------------------------------------- |
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100 | |
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101 | CALL wrk_alloc( jpi,jpj,zux,zuy,zvx,zvy ) |
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102 | CALL wrk_alloc( jpi,jpj,zue1,zue2,zve1,zve2 ) |
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103 | |
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104 | |
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105 | IF( kt == nit000 ) THEN |
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106 | |
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107 | |
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108 | IF(lwp) WRITE(numout,*) |
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109 | IF(lwp) WRITE(numout,*) 'ldf_dyn_smag : 3D lateral eddy viscosity coefficient' |
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110 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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111 | |
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112 | ENDIF |
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113 | |
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114 | zcmsmag_1 = rn_cmsmag_1 |
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115 | zcmsmag_2 = rn_cmsmag_2 |
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116 | zcmsh = rn_cmsh |
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117 | |
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118 | |
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119 | |
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120 | |
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121 | ! Set ahm1 and ahm2 ( T- and F- points) (used for laplacian operators |
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122 | ! ================= whatever its orientation is) |
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123 | IF( ln_dynldf_lap ) THEN |
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124 | ! define ahm1 and ahm2 at the right grid point position |
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125 | ! (USER: modify ahm1 and ahm2 following your desiderata) |
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126 | |
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127 | DO jk=1,jpk |
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128 | zue2(:,:)=un(:,:,jk)/e2u(:,:) |
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129 | zve1(:,:)=vn(:,:,jk)/e1v(:,:) |
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130 | zue1(:,:)=un(:,:,jk)/e1u(:,:) |
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131 | zve2(:,:)=vn(:,:,jk)/e2v(:,:) |
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132 | |
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133 | |
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134 | DO jj=2,jpj |
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135 | DO ji=2,jpi |
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136 | zux(ji,jj)=(zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) * zcmsh |
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137 | zvy(ji,jj)=(zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) * zcmsh |
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138 | ENDDO |
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139 | ENDDO |
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140 | |
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141 | DO jj=1,jpjm1 |
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142 | DO ji=1,jpim1 |
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143 | zuy(ji,jj)=(zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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144 | zvx(ji,jj)=(zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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145 | ENDDO |
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146 | ENDDO |
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147 | |
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148 | DO jj=2,jpjm1 |
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149 | DO ji=2,jpim1 |
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150 | |
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151 | zdeltat=2._wp /(e1t(ji,jj)**(-2)+e2t(ji,jj)**(-2)) |
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152 | zdeltaf=2._wp /(e1f(ji,jj)**(-2)+e2f(ji,jj)**(-2)) |
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153 | ahm1(ji,jj,jk)=(zcmsmag_1/rpi)**2*zdeltat* & |
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154 | sqrt( (zux(ji,jj)-zvy(ji,jj))**2+ & |
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155 | 0.0625_wp*(zuy(ji,jj)+zuy(ji,jj-1)+zuy(ji-1,jj)+zuy(ji-1,jj-1)+ & |
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156 | zvx(ji,jj)+zvx(ji,jj-1)+zvx(ji-1,jj)+zvx(ji-1,jj-1))**2) |
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157 | |
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158 | ahm2(ji,jj,jk)=(zcmsmag_1/rpi)**2*zdeltaf* & |
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159 | sqrt( (zuy(ji,jj)+zvx(ji,jj))**2+ & |
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160 | 0.0625_wp*(zux(ji,jj)+zux(ji,jj+1)+zux(ji+1,jj)+zux(ji+1,jj+1)- & |
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161 | zvy(ji,jj)-zvy(ji,jj+1)-zvy(ji+1,jj)-zvy(ji+1,jj+1))**2) |
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162 | |
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163 | ahm1(ji,jj,jk)=MAX(ahm1(ji,jj,jk),rn_ahm_0_lap) |
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164 | ahm2(ji,jj,jk)=MAX(ahm2(ji,jj,jk),rn_ahm_0_lap) |
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165 | |
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166 | ! stability criteria or upper limit set from namelist |
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167 | ahm1(ji,jj,jk)=MIN(ahm1(ji,jj,jk),zdeltat / (16_wp*rdt),rn_ahm_m_lap) |
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168 | ahm2(ji,jj,jk)=MIN(ahm2(ji,jj,jk),zdeltaf / (16_wp*rdt),rn_ahm_m_lap) |
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169 | |
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170 | ENDDO |
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171 | ENDDO |
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172 | |
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173 | ENDDO ! jpk |
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174 | ahm1(:,:,jpk) = ahm1(:,:,jpkm1) |
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175 | ahm2(:,:,jpk) = ahm2(:,:,jpkm1) |
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176 | IF(lwp.and.kt==nit000) WRITE(numout,'(36x," ahm ", 7x)') |
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177 | DO jk = 1, jpk |
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178 | |
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179 | IF(lwp.and.kt==nit000) WRITE(numout,'(30x,E10.2,8x,i3)') ahm1(jpi/2,jpj/2,jk), jk |
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180 | END DO |
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181 | CALL lbc_lnk( ahm1, 'T', 1. ) ! Lateral boundary conditions on ( ahtt ) |
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182 | CALL lbc_lnk( ahm2, 'F', 1. ) ! Lateral boundary conditions on ( ahtt ) |
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183 | |
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184 | ENDIF ! ln_dynldf_lap |
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185 | |
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186 | |
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187 | |
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188 | ! ahm3 and ahm4 at U- and V-points (used for bilaplacian operator |
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189 | ! ================================ whatever its orientation is) |
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190 | ! Here: ahm is proportional to the cube of the maximum of the grid spacing |
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191 | ! in the to horizontal direction |
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192 | |
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193 | IF( ln_dynldf_bilap ) THEN |
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194 | DO jk=1,jpk |
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195 | zue2(:,:) = un(:,:,jk)/e2u(:,:) |
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196 | zve1(:,:) = vn(:,:,jk)/e1v(:,:) |
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197 | zue1(:,:) = un(:,:,jk)/e1u(:,:) |
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198 | zve2(:,:) = vn(:,:,jk)/e2v(:,:) |
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199 | |
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200 | |
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201 | DO jj=2,jpj |
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202 | DO ji=2,jpi |
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203 | zux(ji,jj) = (zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) |
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204 | zvy(ji,jj) = (zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) |
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205 | ENDDO |
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206 | ENDDO |
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207 | |
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208 | DO jj=1,jpjm1 |
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209 | DO ji=1,jpim1 |
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210 | zuy(ji,jj) = (zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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211 | zvx(ji,jj) = (zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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212 | ENDDO |
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213 | ENDDO |
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214 | |
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215 | |
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216 | DO jj=2,jpjm1 |
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217 | DO ji=2,jpim1 |
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218 | zdeltau = 2._wp/(e1u(ji,jj)**(-2)+e2u(ji,jj)**(-2)) |
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219 | zdeltav = 2._wp/(e1v(ji,jj)**(-2)+e2v(ji,jj)**(-2)) |
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220 | |
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221 | ahm3(ji,jj,jk) = -(zcmsmag_2/rpi)**2/8.0_wp*zdeltau**2* & |
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222 | |
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223 | sqrt(0.25_wp*(zux(ji,jj)+zux(ji+1,jj)-zvy(ji,jj)-zvy(ji+1,jj))**2+ & |
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224 | 0.25_wp*(zuy(ji,jj)+zuy(ji,jj-1)+zvx(ji,jj)+zvx(ji,jj-1))**2) |
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225 | |
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226 | ahm4(ji,jj,jk) = -(zcmsmag_2/rpi)**2/8.0_wp*zdeltav**2* & |
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227 | |
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228 | sqrt(0.25_wp*(zux(ji,jj)+zux(ji,jj+1)-zvy(ji,jj)-zvy(ji,jj+1))**2+ & |
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229 | 0.25_wp*(zuy(ji,jj)+zuy(ji-1,jj)+zvx(ji-1,jj)+zvx(ji,jj))**2) |
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230 | |
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231 | ahm3(ji,jj,jk) = MIN (rn_ahm_0_blp , ahm3(ji,jj,jk) ) |
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232 | ahm4(ji,jj,jk) = MIN (rn_ahm_0_blp , ahm4(ji,jj,jk) ) |
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233 | |
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234 | ! stability criteria or upper limit set in namelist |
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235 | |
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236 | ahm3(ji,jj,jk) = MAX( ahm3(ji,jj,jk),-zdeltau**2/( 128._wp*rdt ),rn_ahm_m_blp ) |
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237 | ahm4(ji,jj,jk) = MAX( ahm4(ji,jj,jk),-zdeltav**2/( 128._wp*rdt ),rn_ahm_m_blp ) |
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238 | |
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239 | |
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240 | ENDDO |
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241 | ENDDO |
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242 | |
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243 | ENDDO |
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244 | ahm3(:,:,jpk) = ahm3(:,:,jpkm1) |
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245 | ahm4(:,:,jpk) = ahm4(:,:,jpkm1) |
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246 | |
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247 | DO jk = 1, jpk |
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248 | IF( kt == nit000 ) THEN |
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249 | |
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250 | IF(lwp) WRITE(numout,'(30x,E10.2,8x,i3)') ahm3(jpi/2,jpj/2,jk), jk |
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251 | ENDIF |
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252 | END DO |
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253 | CALL lbc_lnk( ahm3, 'U', 1. ) ! Lateral boundary conditions |
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254 | CALL lbc_lnk( ahm4, 'V', 1. ) |
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255 | ENDIF |
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256 | |
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257 | CALL wrk_dealloc( jpi,jpj,zux,zuy,zvx,zvy ) |
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258 | CALL wrk_dealloc( jpi,jpj,zue1,zue2,zve1,zve2 ) |
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259 | ! zumax = MAXVAL( ABS( ahm3(:,:,:) ) ) ! slower than the following loop on NEC SX5 |
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260 | zdeltat = 0._wp |
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261 | If(ln_dynldf_lap)THEN |
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262 | DO jk = 1, jpk |
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263 | DO jj = 1, jpj |
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264 | DO ji = 1, jpi |
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265 | zdeltat = MAX(zdeltat,ABS(ahm1(ji,jj,jk)),ABS(ahm2(ji,jj,jk)) ) |
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266 | END DO |
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267 | END DO |
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268 | END DO |
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269 | IF( lk_mpp ) CALL mpp_max( zdeltat ) ! max over the global domain |
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270 | ! |
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271 | IF( MOD( kt, nwrite ) == 1 .AND. lwp ) WRITE(numout,*) ' ==>> time-step= ',kt,'dynlap: abs(ahm) max: ', zdeltat |
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272 | ENDIF |
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273 | If(ln_dynldf_bilap)THEN |
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274 | zdeltat = 0._wp |
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275 | DO jk = 1, jpk |
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276 | DO jj = 1, jpj |
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277 | DO ji = 1, jpi |
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278 | zdeltat = MAX(zdeltat,ABS(ahm3(ji,jj,jk)),ABS(ahm3(ji,jj,jk)) ) |
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279 | END DO |
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280 | END DO |
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281 | END DO |
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282 | IF( lk_mpp ) CALL mpp_max( zdeltat ) ! max over the global domain |
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283 | ! |
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284 | IF( MOD( kt, nwrite ) == 1 .AND. lwp ) WRITE(numout,*) ' ==>> time-step= ',kt,'dyn_bilap abs(ahm) max: ', zdeltat |
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285 | ! |
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286 | ENDIF |
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287 | ! |
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288 | |
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289 | END SUBROUTINE ldf_dyn_smag |
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290 | #else |
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291 | !!---------------------------------------------------------------------- |
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292 | !! Default option Dummy module |
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293 | !!---------------------------------------------------------------------- |
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294 | CONTAINS |
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295 | SUBROUTINE ldf_dyn_smag( kt ) ! Empty routine |
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296 | WRITE(*,*) 'ldf_dyn_smag: You should not have seen this print! error? check keys ldf:c3d+smag', kt |
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297 | END SUBROUTINE ldf_dyn_smag |
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298 | #endif |
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299 | |
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300 | END MODULE ldfdyn_smag |
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301 | |
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