1 | MODULE ldftra_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_traldf_smag && defined key_traldf_c3d |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_traldf_smag' and smagorinsky diffusivity |
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9 | !! 'key_traldf_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 ldftra_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 | |
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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_tra_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: ldf_tra_smag.F90 1482 2010-06-13 15:28:06Z $ |
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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 | !! *** ldf_tra_smag.F90 *** |
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49 | !!---------------------------------------------------------------------- |
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50 | |
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51 | |
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52 | SUBROUTINE ldf_tra_smag( kt ) |
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53 | !!---------------------------------------------------------------------- |
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54 | !!---------------------------------------------------------------------- |
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55 | !! *** ROUTINE ldf_tra_smag *** |
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56 | !! |
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57 | !! ** Purpose : initializations of the horizontal ocean physics |
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58 | !! |
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59 | !! ** Method : 3D eddy viscosity coef. |
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60 | !! M.Griffies, R.Hallberg AMS, 2000 |
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61 | !! for laplacian: |
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62 | !! Asmag=(C/pi)^2*dx*dy sqrt(D^2), C=1 for tracers, C=3-4 for viscosity |
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63 | !! for bilaplacian: |
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64 | !! Bsmag=Asmag*dx*dy/8 |
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65 | !! D^2=(du/dx-dv/dy)^2+(dv/dx+du/dy)^2 for Cartesian coordinates |
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66 | !! in general case du/dx ==> e2 d(u/e2)/dx; du/dy ==> e1 d(u/e1)/dy; |
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67 | !! dv/dx ==> e2 d(v/e2)/dx; dv/dy ==> e1 d(v/e1)/dy |
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68 | !! |
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69 | !! laplacian operator : ahm1, ahm2 defined at T- and F-points |
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70 | !! ahm3, ahm4 never used |
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71 | !! bilaplacian operator : ahm1, ahm2 never used |
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72 | !! : ahm3, ahm4 defined at U- and V-points |
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73 | !! ??? explanation of the default is missing |
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74 | !! last modified : Maria Luneva, September 2011 |
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75 | !!---------------------------------------------------------------------- |
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76 | !! |
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77 | !!---------------------------------------------------------------------- |
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78 | !! * Modules used |
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79 | USE ioipsl |
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80 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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81 | USE wrk_nemo, ONLY: zux => wrk_2d_1 , zuy => wrk_2d_2 , zvx => wrk_2d_3 , zvy => wrk_2d_4 ! 2D workspace |
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82 | USE wrk_nemo, ONLY: zue1 => wrk_2d_5 , zue2 => wrk_2d_6 , zve1 => wrk_2d_7 , zve2 => wrk_2d_8 ! 2D workspac |
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83 | INTEGER, INTENT( in ) :: kt ! ocean time-step inedx |
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84 | !! * Arguments |
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85 | INTEGER :: ji,jj,jk |
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86 | |
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87 | REAL (wp) :: rdeltaxy, rdeltau, rdeltav ! temporary scalars |
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88 | |
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89 | !!---------------------------------------------------------------------- |
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90 | IF( kt == nit000 ) THEN |
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91 | IF( lk_traldf_eiv ) THEN |
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92 | IF(lwp) WRITE(numout,*) |
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93 | IF(lwp) WRITE(numout,*) ' ldf_tra_smag : 3D eddy smagorinsky diffusivity and eddy induced velocity coefficients' |
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94 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~ -- ' |
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95 | IF(lwp) WRITE(numout,*) ' Coefficients are computed' |
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96 | IF(lwp) WRITE(numout,*) |
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97 | ELSE |
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98 | IF(lwp) WRITE(numout,*) |
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99 | IF(lwp) WRITE(numout,*) ' ldf_tra_smag : 3D eddy smagorinsky diffusivity coefficient' |
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100 | IF(lwp) WRITE(numout,*) ' ~~~~~~~~~~~ -- ' |
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101 | IF(lwp) WRITE(numout,*) ' Coefficients are computed' |
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102 | IF(lwp) WRITE(numout,*) |
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103 | ENDIF |
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104 | ENDIF |
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105 | |
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106 | IF( wrk_in_use(2, 1,2,3,4,5,6,7,8) ) THEN |
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107 | CALL ctl_stop('tra_ldf_smag : requested workspace arrays unavailable') ; RETURN |
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108 | ENDIF |
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109 | |
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110 | zux(:,:)=0._wp ; zuy(:,:)=0._wp ; zvx(:,:)=0._wp ; zvy(:,:)=0._wp |
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111 | |
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112 | ! biharmonic operator (T-point) |
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113 | ! ------------------- |
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114 | |
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115 | ahtt(:,:,:) = rn_aht_0 ! set ahtt at T-point (here no space variation) |
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116 | IF( ln_traldf_bilap ) THEN |
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117 | ! define ahm1 and ahm2 at the right grid point position |
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118 | ! (USER: modify ahm1 and ahm2 following your desiderata) |
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119 | DO jk=1,jpk |
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120 | zue2(:,:)=un(:,:,jk)/e2u(:,:) |
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121 | zve1(:,:)=vn(:,:,jk)/e1v(:,:) |
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122 | zue1(:,:)=un(:,:,jk)/e1u(:,:) |
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123 | zve2(:,:)=vn(:,:,jk)/e2v(:,:) |
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124 | |
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125 | |
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126 | DO jj=2,jpj |
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127 | DO ji=2,jpi |
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128 | zux(ji,jj)=(zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) |
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129 | zvy(ji,jj)=(zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) |
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130 | ENDDO |
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131 | ENDDO |
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132 | |
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133 | DO jj=1,jpjm1 |
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134 | DO ji=1,jpim1 |
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135 | zuy(ji,jj)=(zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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136 | zvx(ji,jj)=(zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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137 | ENDDO |
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138 | ENDDO |
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139 | |
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140 | |
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141 | DO jj=2,jpjm1 |
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142 | DO ji=2,jpim1 |
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143 | rdeltaxy=2./(e1t(ji,jj)**(-2)+e2t(ji,jj)**(-2)) |
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144 | ahtt(ji,jj,jk)=(rn_chsmag/3.14)**2/8*rdeltaxy**2* & |
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145 | sqrt( (zux(ji,jj)-zvy(ji,jj))**2+ & |
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146 | 0.0625*(zuy(ji,jj)+zuy(ji,jj-1)+zuy(ji-1,jj)+zuy(ji-1,jj-1)+ & |
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147 | zvx(ji,jj)+zvx(ji,jj-1)+zvx(ji-1,jj)+zvx(ji-1,jj-1) )**2) |
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148 | |
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149 | !!! stabulity criteria: abs(aht)<delta**4/(4*8*dt) dt=2*rdt |
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150 | ahtt(ji,jj,jk)=MIN( ahtt(ji,jj,jk) , rn_aht_0 ) |
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151 | ahtt(ji,jj,jk)=MAX( ahtt(ji,jj,jk) ,- rdeltaxy**4/(8*16*rdt) ) |
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152 | ENDDO |
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153 | ENDDO |
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154 | ENDDO |
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155 | ahtt(:,:,jpk) = ahtt(:,:,jpkm1) |
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156 | |
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157 | CALL lbc_lnk( ahtt, 'T', 1. ) ! Lateral boundary conditions on ( ahtt ) |
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158 | IF( kt == nit000 ) THEN |
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159 | |
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160 | IF(lwp ) THEN ! Control print |
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161 | WRITE(numout,*) |
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162 | WRITE(numout,*) 'inildf: ahtt at k = 1' |
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163 | CALL prihre( ahtt(:,:,1), jpi, jpj, 1, jpi, 1, & |
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164 | & 1, jpj, 1, 1.e-1, numout ) |
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165 | |
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166 | ENDIF |
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167 | |
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168 | ENDIF |
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169 | ENDIF |
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170 | |
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171 | |
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172 | |
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173 | ! harmonic operator (U-, V-, W-points) |
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174 | ! ----------------- |
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175 | |
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176 | ahtu(:,:,:) = rn_aht_0 ! set ahtu = ahtv at u- and v-points, |
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177 | ahtv(:,:,:) = rn_aht_0 ! and ahtw at w-point |
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178 | ahtw(:,:,:) = rn_aht_0 ! (here example: no space variation) |
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179 | |
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180 | IF( ln_traldf_lap ) THEN |
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181 | DO jk=1,jpk |
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182 | zue2(:,:)=un(:,:,jk)/e2u(:,:) |
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183 | zve1(:,:)=vn(:,:,jk)/e1v(:,:) |
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184 | zue1(:,:)=un(:,:,jk)/e1u(:,:) |
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185 | zve2(:,:)=vn(:,:,jk)/e2v(:,:) |
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186 | |
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187 | |
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188 | DO jj=2,jpj |
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189 | DO ji=2,jpi |
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190 | zux(ji,jj)=(zue2(ji,jj)-zue2(ji-1,jj))/e1t(ji,jj)*e2t(ji,jj)*tmask(ji,jj,jk) |
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191 | zvy(ji,jj)=(zve1(ji,jj)-zve1(ji,jj-1))/e2t(ji,jj)*e1t(ji,jj)*tmask(ji,jj,jk) |
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192 | ENDDO |
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193 | ENDDO |
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194 | |
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195 | DO jj=1,jpjm1 |
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196 | DO ji=1,jpim1 |
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197 | zuy(ji,jj)=(zue1(ji,jj+1)-zue1(ji,jj))/e2f(ji,jj)*e1f(ji,jj)*fmask(ji,jj,jk) |
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198 | zvx(ji,jj)=(zve2(ji+1,jj)-zve2(ji,jj))/e1f(ji,jj)*e2f(ji,jj)*fmask(ji,jj,jk) |
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199 | ENDDO |
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200 | ENDDO |
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201 | |
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202 | |
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203 | DO jj=2,jpjm1 |
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204 | DO ji=2,jpim1 |
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205 | rdeltau=2./(e1u(ji,jj)**(-2)+e2u(ji,jj)**(-2)) |
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206 | rdeltav=2./(e1v(ji,jj)**(-2)+e2v(ji,jj)**(-2)) |
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207 | |
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208 | ahtu(ji,jj,jk)=MAX(rn_aht_0 , (rn_chsmag/3.14)**2*rdeltau* & |
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209 | sqrt(0.25*(zux(ji,jj)+zux(ji+1,jj)-zvy(ji,jj)-zvy(ji+1,jj))**2+ & |
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210 | 0.25*(zuy(ji,jj)+zuy(ji,jj-1)+zvx(ji,jj)+zvx(ji,jj-1))**2)) |
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211 | |
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212 | ahtv(ji,jj,jk)=MAX(rn_aht_0 , (rn_chsmag/3.14)**2*rdeltav* & |
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213 | sqrt(0.25*(zux(ji,jj)+zux(ji,jj+1)-zvy(ji,jj)-zvy(ji,jj+1))**2+ & |
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214 | 0.25*(zuy(ji,jj)+zuy(ji-1,jj)+zvx(ji-1,jj)+zvx(ji,jj))**2)) |
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215 | |
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216 | |
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217 | !!! stabulity criteria: aht<delta**2/(4*dt) dt=2*rdt |
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218 | |
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219 | ahtu(ji,jj,jk)=MIN(ahtu(ji,jj,jk),rdeltau**2/(16*rdt) ) |
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220 | ahtv(ji,jj,jk)=MIN(ahtv(ji,jj,jk),rdeltav**2/(16*rdt) ) |
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221 | |
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222 | ENDDO |
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223 | ENDDO |
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224 | ENDDO |
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225 | ENDIF |
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226 | ahtu(:,:,jpk) = ahtu(:,:,jpkm1) |
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227 | ahtv(:,:,jpk) = ahtv(:,:,jpkm1) |
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228 | CALL lbc_lnk( ahtu, 'U', 1. ) ! Lateral boundary conditions |
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229 | CALL lbc_lnk( ahtv, 'V', 1. ) |
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230 | |
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231 | IF( kt == nit000 ) THEN |
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232 | |
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233 | IF(lwp ) THEN ! Control print |
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234 | WRITE(numout,*) |
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235 | WRITE(numout,*) 'inildf: ahtu at k = 1' |
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236 | CALL prihre( ahtu(:,:,1), jpi, jpj, 1, jpi, 1, & |
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237 | & 1, jpj, 1, 1.e-1, numout ) |
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238 | WRITE(numout,*) |
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239 | WRITE(numout,*) 'inildf: ahtv at k = 1' |
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240 | CALL prihre( ahtv(:,:,1), jpi, jpj, 1, jpi, 1, & |
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241 | & 1, jpj, 1, 1.e-1, numout ) |
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242 | WRITE(numout,*) |
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243 | WRITE(numout,*) 'inildf: ahtw at k = 1' |
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244 | CALL prihre( ahtw(:,:,1), jpi, jpj, 1, jpi, 1, & |
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245 | & 1, jpj, 1, 1.e-1, numout ) |
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246 | ENDIF |
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247 | ENDIF |
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248 | |
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249 | IF( wrk_not_released(2, 1,2,3,4,5,6,7,8)) CALL ctl_stop('tra_ldf_smag: failed to release workspace arrays') |
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250 | |
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251 | END SUBROUTINE ldf_tra_smag |
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252 | #else |
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253 | !!---------------------------------------------------------------------- |
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254 | !! Default option Dummy module |
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255 | !!---------------------------------------------------------------------- |
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256 | CONTAINS |
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257 | SUBROUTINE ldf_tra_smag( kt ) ! Empty routine |
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258 | WRITE(*,*) 'ldf_dyn_smag: You should not have seen this print! error? check keys ldf:c3d+smag', kt |
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259 | END SUBROUTINE ldf_tra_smag |
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260 | #endif |
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261 | |
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262 | END MODULE ldftra_smag |
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