[3] | 1 | !!---------------------------------------------------------------------- |
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| 2 | !! *** ldfdyn_c3d.h90 *** |
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| 3 | !!---------------------------------------------------------------------- |
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| 4 | |
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| 5 | !!---------------------------------------------------------------------- |
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| 6 | !! 'key_dynldf_c3d' 3D lateral eddy viscosity coefficients |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | SUBROUTINE ldf_dyn_c3d( ld_print ) |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! *** ROUTINE ldf_dyn_c3d *** |
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| 12 | !! |
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| 13 | !! ** Purpose : initializations of the horizontal ocean physics |
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| 14 | !! |
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| 15 | !! ** Method : 3D eddy viscosity coef. ( longitude, latitude, depth ) |
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| 16 | !! laplacian operator : ahm1, ahm2 defined at T- and F-points |
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| 17 | !! ahm2, ahm4 never used |
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| 18 | !! bilaplacian operator : ahm1, ahm2 never used |
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| 19 | !! : ahm3, ahm4 defined at U- and V-points |
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| 20 | !! ??? explanation of the default is missing |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | !! * Modules used |
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| 23 | USE ldftra_oce, ONLY : aht0 |
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| 24 | |
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| 25 | !! * Arguments |
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| 26 | LOGICAL, INTENT (in) :: ld_print ! If true, output arrays on numout |
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| 27 | |
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| 28 | !! * local variables |
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| 29 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 30 | REAL(wp) :: & |
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| 31 | zr = 0.2 , & ! maximum of the reduction factor at the bottom ocean |
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| 32 | ! ! ( 0 < zr < 1 ) |
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| 33 | zh = 500., & ! depth of at which start the reduction ( > dept(1) ) |
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| 34 | zdx_max , & ! maximum grid spacing over the global domain |
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| 35 | za00, zc, zd ! temporary scalars |
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| 36 | REAL(wp), DIMENSION(jpk) :: zcoef ! temporary workspace |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | |
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| 39 | IF(lwp) WRITE(numout,*) |
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| 40 | IF(lwp) WRITE(numout,*) 'ldf_dyn_c3d : 3D lateral eddy viscosity coefficient' |
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| 41 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 42 | |
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| 43 | |
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| 44 | ! Set ahm1 and ahm2 ( T- and F- points) (used for laplacian operators |
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| 45 | ! ================= whatever its orientation is) |
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| 46 | IF( ln_dynldf_lap ) THEN |
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| 47 | ! define ahm1 and ahm2 at the right grid point position |
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| 48 | ! (USER: modify ahm1 and ahm2 following your desiderata) |
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| 49 | |
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| 50 | zdx_max = MAXVAL( e1t(:,:) ) |
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[32] | 51 | IF( lk_mpp ) CALL mpp_max( zdx_max ) ! max over the global domain |
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| 52 | |
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[3] | 53 | IF(lwp) WRITE(numout,*) ' laplacian operator: ahm proportional to e1' |
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| 54 | IF(lwp) WRITE(numout,*) ' Caution, here we assume your mesh is isotropic ...' |
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| 55 | IF(lwp) WRITE(numout,*) ' maximum grid-spacing = ', zdx_max, ' maximum value for ahm = ', ahm0 |
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| 56 | |
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| 57 | |
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| 58 | za00 = ahm0 / zdx_max |
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| 59 | |
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| 60 | IF( ln_dynldf_iso ) THEN |
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| 61 | IF(lwp) WRITE(numout,*) ' Caution, as implemented now, the isopycnal part of momentum' |
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| 62 | IF(lwp) WRITE(numout,*) ' mixing use aht0 as eddy viscosity coefficient. Thus, it is' |
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| 63 | IF(lwp) WRITE(numout,*) ' uniform and you must be sure that your ahm is greater than' |
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| 64 | IF(lwp) WRITE(numout,*) ' aht0 everywhere in the model domain.' |
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| 65 | ENDIF |
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| 66 | |
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| 67 | CALL ldf_zpf( .TRUE. , 1000., 500., 0.25, fsdept(:,:,:), ahm1 ) ! vertical profile |
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| 68 | CALL ldf_zpf( .TRUE. , 1000., 500., 0.25, fsdept(:,:,:), ahm2 ) ! vertical profile |
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| 69 | DO jk = 1,jpk |
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| 70 | ahm1(:,:,jk) = za00 * e1t(:,:) * ahm1(:,:,jk) |
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| 71 | ahm2(:,:,jk) = za00 * e1f(:,:) * ahm2(:,:,jk) |
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| 72 | END DO |
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| 73 | |
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| 74 | |
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| 75 | ! Special case for ORCA R2 and R4 configurations (overwrite the value of ahm1 ahm2) |
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| 76 | ! ============================================== |
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| 77 | IF( cp_cfg == "orca" .AND. ( jp_cfg == 2 .OR. jp_cfg == 4 ) ) THEN |
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| 78 | IF(lwp) WRITE(numout,*) |
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| 79 | IF(lwp) WRITE(numout,*) ' ORCA R2 or R4: overwrite the previous definition of ahm' |
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| 80 | IF(lwp) WRITE(numout,*) ' =============' |
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| 81 | CALL ldf_dyn_c3d_orca( ld_print ) |
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| 82 | ENDIF |
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| 83 | |
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| 84 | ENDIF |
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| 85 | |
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| 86 | ! Control print |
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| 87 | IF(lwp .AND. ld_print ) THEN |
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| 88 | WRITE(numout,*) |
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| 89 | WRITE(numout,*) ' 3D ahm1 array (k=1)' |
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| 90 | CALL prihre( ahm1(:,:,1), jpi, jpj, 1, jpi, 20, 1, jpj, 20, 1.e-3, numout ) |
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| 91 | WRITE(numout,*) |
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| 92 | WRITE(numout,*) ' 3D ahm2 array (k=1)' |
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| 93 | CALL prihre( ahm2(:,:,1), jpi, jpj, 1, jpi, 20, 1, jpj, 20, 1.e-3, numout ) |
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| 94 | ENDIF |
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| 95 | |
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| 96 | |
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| 97 | ! ahm3 and ahm4 at U- and V-points (used for bilaplacian operator |
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| 98 | ! ================================ whatever its orientation is) |
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| 99 | ! (USER: modify ahm3 and ahm4 following your desiderata) |
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| 100 | ! Here: ahm is proportional to the cube of the maximum of the gridspacing |
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| 101 | ! in the to horizontal direction |
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| 102 | |
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| 103 | IF( ln_dynldf_bilap ) THEN |
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| 104 | |
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| 105 | zdx_max = MAXVAL( e1u(:,:) ) |
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[32] | 106 | IF( lk_mpp ) CALL mpp_max( zdx_max ) ! max over the global domain |
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| 107 | |
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[3] | 108 | IF(lwp) WRITE(numout,*) ' bi-laplacian operator: ahm proportional to e1**3 ' |
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| 109 | IF(lwp) WRITE(numout,*) ' Caution, here we assume your mesh is isotropic ...' |
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| 110 | IF(lwp) WRITE(numout,*) ' maximum grid-spacing = ', zdx_max, ' maximum value for ahm = ', ahm0 |
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| 111 | |
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| 112 | za00 = ahm0 / ( zdx_max * zdx_max * zdx_max ) |
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| 113 | ahm3(:,:,1) = za00 * e1u(:,:) * e1u(:,:) * e1u(:,:) |
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| 114 | ahm4(:,:,1) = za00 * e1v(:,:) * e1v(:,:) * e1v(:,:) |
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| 115 | |
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| 116 | zh = MAX( zh, fsdept(1,1,1) ) ! at least the first reach ahm0 |
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| 117 | IF( lk_zco ) THEN ! z-coordinate, same profile everywhere |
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| 118 | IF(lwp) WRITE(numout,'(36x," ahm ", 7x)') |
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| 119 | DO jk = 1, jpk |
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| 120 | IF( fsdept(1,1,jk) <= zh ) THEN |
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| 121 | zcoef(jk) = 1.e0 |
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| 122 | ELSE |
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| 123 | zcoef(jk) = 1.e0 + ( zr - 1.e0 ) & |
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| 124 | & * ( 1. - EXP( ( fsdept(1,1,jk ) - zh ) / zh ) ) & |
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| 125 | & / ( 1. - EXP( ( fsdept(1,1,jpkm1) - zh ) / zh ) ) |
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| 126 | ENDIF |
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| 127 | ahm3(:,:,jk) = ahm3(:,:,1) * zcoef(jk) |
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| 128 | ahm4(:,:,jk) = ahm4(:,:,1) * zcoef(jk) |
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| 129 | IF(lwp) WRITE(numout,'(34x,E7.2,8x,i3)') zcoef(jk) * ahm0, jk |
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| 130 | END DO |
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| 131 | ELSE ! partial steps or s-ccordinate |
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| 132 | zc = MAXVAL( fsdept(:,:,jpkm1) ) |
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[32] | 133 | IF( lk_mpp ) CALL mpp_max( zc ) ! max over the global domain |
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| 134 | |
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[3] | 135 | zc = 1. / ( 1. - EXP( ( zc - zh ) / zh ) ) |
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| 136 | DO jk = 2, jpkm1 |
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| 137 | DO jj = 1, jpj |
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| 138 | DO ji = 1, jpi |
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| 139 | IF( fsdept(ji,jj,jk) <= zh ) THEN |
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| 140 | ahm3(ji,jj,jk) = ahm3(ji,jj,1) |
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| 141 | ahm4(ji,jj,jk) = ahm4(ji,jj,1) |
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| 142 | ELSE |
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| 143 | zd = 1.e0 + ( zr - 1.e0 ) * ( 1. - EXP( ( fsdept(ji,jj,jk) - zh ) / zh ) ) * zc |
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| 144 | ahm3(ji,jj,jk) = ahm3(ji,jj,1) * zd |
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| 145 | ahm4(ji,jj,jk) = ahm4(ji,jj,1) * zd |
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| 146 | ENDIF |
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| 147 | END DO |
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| 148 | END DO |
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| 149 | END DO |
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| 150 | ahm3(:,:,jpk) = ahm3(:,:,jpkm1) |
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| 151 | ahm4(:,:,jpk) = ahm4(:,:,jpkm1) |
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| 152 | IF(lwp) WRITE(numout,'(36x," ahm ", 7x)') |
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| 153 | DO jk = 1, jpk |
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| 154 | IF(lwp) WRITE(numout,'(30x,E10.2,8x,i3)') ahm3(1,1,jk), jk |
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| 155 | END DO |
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| 156 | ENDIF |
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| 157 | |
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| 158 | ! Control print |
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| 159 | IF( lwp .AND. ld_print ) THEN |
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| 160 | WRITE(numout,*) |
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| 161 | WRITE(numout,*) 'inildf: ahm3 array at level 1' |
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| 162 | CALL prihre(ahm3(:,:,1 ),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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| 163 | WRITE(numout,*) |
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| 164 | WRITE(numout,*) 'inildf: ahm4 array at level 1' |
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| 165 | CALL prihre(ahm4(:,:,jpk),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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| 166 | ENDIF |
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| 167 | ENDIF |
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| 168 | |
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| 169 | END SUBROUTINE ldf_dyn_c3d |
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| 170 | |
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| 171 | |
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| 172 | SUBROUTINE ldf_dyn_c3d_orca( ld_print ) |
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| 173 | !!---------------------------------------------------------------------- |
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| 174 | !! *** ROUTINE ldf_dyn_c3d *** |
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| 175 | !! |
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| 176 | !! ** Purpose : ORCA R2 an R4 only |
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| 177 | !! |
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| 178 | !! ** Method : blah blah blah .... |
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| 179 | !!---------------------------------------------------------------------- |
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| 180 | !! * Modules used |
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| 181 | USE ldftra_oce, ONLY : aht0 |
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| 182 | |
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| 183 | !! * Arguments |
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| 184 | LOGICAL, INTENT (in) :: ld_print ! If true, output arrays on numout |
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| 185 | |
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| 186 | !! * local variables |
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[32] | 187 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 188 | INTEGER :: inum = 11 ! temporary logical unit |
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| 189 | INTEGER :: iost, iim, ijm |
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| 190 | INTEGER :: ifreq, il1, il2, ij, ii |
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| 191 | INTEGER, DIMENSION(jpidta, jpjdta) :: idata |
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| 192 | INTEGER, DIMENSION(jpi , jpj ) :: icof |
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[3] | 193 | |
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| 194 | REAL(wp) :: zahmeq, zcoff, zcoft, zmsk |
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[32] | 195 | REAL(wp), DIMENSION(jpk) :: zcoef |
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[3] | 196 | |
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| 197 | CHARACTER (len=15) :: clexp |
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| 198 | !!---------------------------------------------------------------------- |
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| 199 | |
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| 200 | IF(lwp) WRITE(numout,*) |
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| 201 | IF(lwp) WRITE(numout,*) 'ldfdyn_c3d_orca : 3D eddy viscosity coefficient' |
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| 202 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 203 | IF(lwp) WRITE(numout,*) |
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| 204 | IF(lwp) WRITE(numout,*) ' orca R2 or R4 ocean model' |
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| 205 | IF(lwp) WRITE(numout,*) ' reduced in the surface Eq. strip ' |
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| 206 | IF(lwp) WRITE(numout,*) |
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| 207 | |
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| 208 | ! Read 2d integer array to specify western boundary increase in the |
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| 209 | ! ===================== equatorial strip (20N-20S) defined at t-points |
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| 210 | |
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[32] | 211 | OPEN( UNIT=inum, FILE='ahmcoef', STATUS='OLD', & |
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| 212 | & FORM='FORMATTED', ACCESS='SEQUENTIAL', ERR=111 , & |
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| 213 | & IOSTAT= iost) |
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[3] | 214 | IF( iost == 0 ) THEN |
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| 215 | IF(lwp) THEN |
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| 216 | WRITE(numout,*) ' file : ahmcoef open ok' |
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[32] | 217 | WRITE(numout,*) ' unit = ', inum |
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[3] | 218 | WRITE(numout,*) ' status = OLD' |
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| 219 | WRITE(numout,*) ' form = FORMATTED' |
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| 220 | WRITE(numout,*) ' access = SEQUENTIAL' |
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| 221 | WRITE(numout,*) |
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| 222 | ENDIF |
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| 223 | ENDIF |
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| 224 | 111 CONTINUE |
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| 225 | IF( iost /= 0 ) THEN |
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| 226 | IF(lwp) THEN |
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| 227 | WRITE(numout,*) |
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| 228 | WRITE(numout,*) ' ===>>>> : bad opening file: ahmcoef, we stop. verify the file ' |
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| 229 | WRITE(numout,*) ' ======= === ' |
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| 230 | ENDIF |
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| 231 | nstop = nstop + 1 |
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| 232 | ENDIF |
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| 233 | |
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[32] | 234 | REWIND inum |
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| 235 | READ(inum,9101) clexp, iim, ijm |
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| 236 | READ(inum,'(/)') |
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[3] | 237 | ifreq = 40 |
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| 238 | il1 = 1 |
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| 239 | DO jn = 1, jpidta/ifreq+1 |
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[32] | 240 | READ(inum,'(/)') |
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[3] | 241 | il2 = MIN( jpidta, il1+ifreq-1 ) |
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[32] | 242 | READ(inum,9201) ( ii, ji = il1, il2, 5 ) |
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| 243 | READ(inum,'(/)') |
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[3] | 244 | DO jj = jpjdta, 1, -1 |
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[32] | 245 | READ(inum,9202) ij, ( idata(ji,jj), ji = il1, il2 ) |
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[3] | 246 | END DO |
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| 247 | il1 = il1 + ifreq |
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| 248 | END DO |
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| 249 | |
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| 250 | DO jj = 1, nlcj |
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| 251 | DO ji = 1, nlci |
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| 252 | icof(ji,jj) = idata( mig(ji), mjg(jj) ) |
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| 253 | END DO |
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| 254 | END DO |
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| 255 | DO jj = nlcj+1, jpj |
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| 256 | DO ji = 1, nlci |
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| 257 | icof(ji,jj) = icof(ji,nlcj) |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | DO jj = 1, jpj |
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| 261 | DO ji = nlci+1, jpi |
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| 262 | icof(ji,jj) = icof(nlci,jj) |
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| 263 | END DO |
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| 264 | END DO |
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| 265 | |
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| 266 | 9101 FORMAT(1x,a15,2i8) |
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| 267 | 9201 FORMAT(3x,13(i3,12x)) |
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| 268 | 9202 FORMAT(i3,41i3) |
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| 269 | |
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| 270 | ! Set ahm1 and ahm2 |
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| 271 | ! ================= |
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| 272 | |
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| 273 | ! define ahm1 and ahm2 at the right grid point position |
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| 274 | ! (USER: modify ahm1 and ahm2 following your desiderata) |
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| 275 | ! biharmonic : ahm1 (ahm2) defined at u- (v-) point |
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| 276 | ! harmonic : ahm1 (ahm2) defined at t- (f-) point |
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| 277 | |
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| 278 | ! first level : as for 2D coefficients |
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| 279 | |
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| 280 | ! Decrease ahm to zahmeq m2/s in the tropics |
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| 281 | ! (from 90 to 20 degre: ahm = constant |
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| 282 | ! from 20 to 2.5 degre: ahm = decrease in (1-cos)/2 |
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| 283 | ! from 2.5 to 0 degre: ahm = constant |
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| 284 | ! symmetric in the south hemisphere) |
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| 285 | |
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| 286 | IF( jp_cfg == 4 ) zahmeq = 5.0 * aht0 |
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| 287 | IF( jp_cfg == 2 ) zahmeq = aht0 |
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| 288 | |
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| 289 | DO jj = 1, jpj |
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| 290 | DO ji = 1, jpi |
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| 291 | IF( ABS(gphif(ji,jj)) >= 20.) THEN |
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| 292 | ahm2(ji,jj,1) = ahm0 |
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| 293 | ELSEIF( ABS(gphif(ji,jj)) <= 2.5) THEN |
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| 294 | ahm2(ji,jj,1) = zahmeq |
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| 295 | ELSE |
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| 296 | ahm2(ji,jj,1) = zahmeq & |
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| 297 | + (ahm0-zahmeq)/2.*(1.-COS( rad*(ABS(gphif(ji,jj))-2.5)*180./17.5 ) ) |
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| 298 | ENDIF |
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| 299 | IF( ABS(gphit(ji,jj)) >= 20.) THEN |
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| 300 | ahm1(ji,jj,1) = ahm0 |
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| 301 | ELSEIF( ABS(gphit(ji,jj)) <= 2.5) THEN |
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| 302 | ahm1(ji,jj,1) = zahmeq |
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| 303 | ELSE |
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| 304 | ahm1(ji,jj,1) = zahmeq & |
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| 305 | + (ahm0-zahmeq)/2.*(1.-COS( rad*(ABS(gphit(ji,jj))-2.5)*180./17.5 ) ) |
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| 306 | ENDIF |
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| 307 | END DO |
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| 308 | END DO |
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| 309 | |
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| 310 | ! increase along western boundaries of equatorial strip |
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| 311 | ! t-point |
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| 312 | DO jj = 1, jpjm1 |
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| 313 | DO ji = 1, jpim1 |
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| 314 | zcoft = float( icof(ji,jj) ) / 100. |
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| 315 | ahm1(ji,jj,1) = zcoft * ahm0 + (1.-zcoft) * ahm1(ji,jj,1) |
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| 316 | END DO |
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| 317 | END DO |
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| 318 | ! f-point |
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| 319 | icof(:,:) = icof(:,:) * tmask(:,:,1) |
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| 320 | DO jj = 1, jpjm1 |
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| 321 | DO ji = 1, jpim1 |
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| 322 | zmsk = tmask(ji,jj+1,1) + tmask(ji+1,jj+1,1) + tmask(ji,jj,1) + tmask(ji,jj+1,1) |
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| 323 | IF( zmsk == 0. ) THEN |
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| 324 | zcoff = 1. |
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| 325 | ELSE |
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| 326 | zcoff = FLOAT( icof(ji,jj+1) + icof(ji+1,jj+1) + icof(ji,jj) + icof(ji,jj+1) ) & |
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| 327 | / (zmsk * 100.) |
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| 328 | ENDIF |
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| 329 | ahm2(ji,jj,1) = zcoff * ahm0 + (1.-zcoff) * ahm2(ji,jj,1) |
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| 330 | END DO |
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| 331 | END DO |
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| 332 | |
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| 333 | ! other level: re-increase the coef in the deep ocean |
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| 334 | |
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| 335 | DO jk = 1, 21 |
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| 336 | zcoef(jk) = 1. |
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| 337 | END DO |
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| 338 | zcoef(22) = 2. |
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| 339 | zcoef(23) = 3. |
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| 340 | zcoef(24) = 5. |
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| 341 | zcoef(25) = 7. |
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| 342 | zcoef(26) = 9. |
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| 343 | DO jk = 27, jpk |
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| 344 | zcoef(jk) = 10. |
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| 345 | END DO |
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| 346 | |
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| 347 | DO jk = 2, jpk |
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| 348 | ahm1(:,:,jk) = MIN( ahm0, zcoef(jk) * ahm1(:,:,1) ) |
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| 349 | ahm2(:,:,jk) = MIN( ahm0, zcoef(jk) * ahm2(:,:,1) ) |
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| 350 | END DO |
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| 351 | |
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| 352 | ! Lateral boundary conditions on ( ahm1, ahm2 ) |
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| 353 | ! ============== |
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| 354 | CALL lbc_lnk( ahm1, 'T', 1. ) ! T-point, unchanged sign |
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| 355 | CALL lbc_lnk( ahm2, 'F', 1. ) ! F-point, unchanged sign |
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| 356 | |
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| 357 | ! Control print |
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| 358 | |
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| 359 | IF(lwp) THEN |
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| 360 | WRITE(numout,*) |
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| 361 | WRITE(numout,*) ' 3D ahm1 array (k=1)' |
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| 362 | CALL prihre( ahm1(:,:,1), jpi, jpj, 1, jpi, 20, 1, jpj, 20, 1.e-3, numout ) |
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| 363 | WRITE(numout,*) |
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| 364 | WRITE(numout,*) ' 3D ahm2 array (k=1)' |
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| 365 | CALL prihre( ahm2(:,:,1), jpi, jpj, 1, jpi, 20, 1, jpj, 20, 1.e-3, numout ) |
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| 366 | WRITE(numout,*) |
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| 367 | WRITE(numout,*) ' 3D ahm2 array (k=jpk)' |
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| 368 | CALL prihre( ahm2(:,:,jpk), jpi, jpj, 1, jpi, 20, 1, jpj, 20, 1.e-3, numout ) |
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| 369 | ENDIF |
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| 370 | |
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| 371 | |
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| 372 | ! Set ahm3 and ahm4 |
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| 373 | ! ================= |
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| 374 | |
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| 375 | ! define ahm3 and ahm4 at the right grid point position |
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| 376 | ! initialization to a constant value |
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| 377 | ! (USER: modify ahm3 and ahm4 following your desiderata) |
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| 378 | ! harmonic isopycnal or geopotential: |
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| 379 | ! ahm3 (ahm4) defined at u- (v-) point |
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| 380 | DO jk = 1, jpk |
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| 381 | DO jj = 2, jpj |
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| 382 | DO ji = 2, jpi |
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| 383 | ahm3(ji,jj,jk) = 0.5 * ( ahm2(ji,jj,jk) + ahm2(ji ,jj-1,jk) ) |
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| 384 | ahm4(ji,jj,jk) = 0.5 * ( ahm2(ji,jj,jk) + ahm2(ji-1,jj ,jk) ) |
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| 385 | END DO |
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| 386 | END DO |
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| 387 | END DO |
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| 388 | ahm3 ( :, 1, :) = ahm3 ( :, 2, :) |
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| 389 | ahm4 ( :, 1, :) = ahm4 ( :, 2, :) |
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| 390 | |
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| 391 | ! Lateral boundary conditions on ( ahm3, ahm4 ) |
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| 392 | ! ============== |
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| 393 | CALL lbc_lnk( ahm3, 'U', 1. ) ! U-point, unchanged sign |
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| 394 | CALL lbc_lnk( ahm4, 'V', 1. ) ! V-point, unchanged sign |
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| 395 | |
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| 396 | ! Control print |
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| 397 | |
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| 398 | IF( lwp .AND. ld_print ) THEN |
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| 399 | WRITE(numout,*) |
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| 400 | WRITE(numout,*) ' ahm3 array level 1' |
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| 401 | CALL prihre(ahm3(:,:,1),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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| 402 | WRITE(numout,*) |
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| 403 | WRITE(numout,*) ' ahm4 array level 1' |
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| 404 | CALL prihre(ahm4(:,:,1),jpi,jpj,1,jpi,1,1,jpj,1,1.e-3,numout) |
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| 405 | ENDIF |
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| 406 | |
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| 407 | END SUBROUTINE ldf_dyn_c3d_orca |
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