[3] | 1 | MODULE ldfdyn |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE ldfdyn *** |
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| 4 | !! Ocean physics: lateral viscosity coefficient |
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| 5 | !!===================================================================== |
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[1601] | 6 | !! History : OPA ! 1997-07 (G. Madec) multi dimensional coefficients |
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| 7 | !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module |
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[5836] | 8 | !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, |
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| 9 | !! ! add velocity dependent coefficient and optional read in file |
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[1601] | 10 | !!---------------------------------------------------------------------- |
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[3] | 11 | |
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| 12 | !!---------------------------------------------------------------------- |
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[5836] | 13 | !! ldf_dyn_init : initialization, namelist read, and parameters control |
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| 14 | !! ldf_dyn : update lateral eddy viscosity coefficients at each time step |
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[3] | 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE phycst ! physical constants |
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[5836] | 19 | USE ldfc1d_c2d ! lateral diffusion: 1D and 2D cases |
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| 20 | ! |
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[3] | 21 | USE in_out_manager ! I/O manager |
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[5836] | 22 | USE iom ! I/O module for ehanced bottom friction file |
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| 23 | USE timing ! Timing |
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[3] | 24 | USE lib_mpp ! distribued memory computing library |
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| 25 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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[3294] | 26 | USE wrk_nemo ! Memory Allocation |
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[3] | 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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[5836] | 31 | PUBLIC ldf_dyn_init ! called by nemogcm.F90 |
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| 32 | PUBLIC ldf_dyn ! called by step.F90 |
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[3] | 33 | |
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[5836] | 34 | ! !!* Namelist namdyn_ldf : lateral mixing on momentum * |
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| 35 | LOGICAL , PUBLIC :: ln_dynldf_lap !: laplacian operator |
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| 36 | LOGICAL , PUBLIC :: ln_dynldf_blp !: bilaplacian operator |
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| 37 | LOGICAL , PUBLIC :: ln_dynldf_lev !: iso-level direction |
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| 38 | LOGICAL , PUBLIC :: ln_dynldf_hor !: horizontal (geopotential) direction |
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| 39 | LOGICAL , PUBLIC :: ln_dynldf_iso !: iso-neutral direction |
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| 40 | INTEGER , PUBLIC :: nn_ahm_ijk_t !: choice of time & space variations of the lateral eddy viscosity coef. |
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| 41 | REAL(wp), PUBLIC :: rn_ahm_0 !: lateral laplacian eddy viscosity [m2/s] |
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| 42 | REAL(wp), PUBLIC :: rn_ahm_b !: lateral laplacian background eddy viscosity [m2/s] |
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| 43 | REAL(wp), PUBLIC :: rn_bhm_0 !: lateral bilaplacian eddy viscosity [m4/s] |
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[3] | 44 | |
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[5836] | 45 | LOGICAL , PUBLIC :: l_ldfdyn_time !: flag for time variation of the lateral eddy viscosity coef. |
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| 46 | |
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| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ahmt, ahmf !: eddy diffusivity coef. at U- and V-points [m2/s or m4/s] |
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| 48 | |
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| 49 | REAL(wp) :: r1_12 = 1._wp / 12._wp ! =1/12 |
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| 50 | REAL(wp) :: r1_4 = 0.25_wp ! =1/4 |
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| 51 | REAL(wp) :: r1_288 = 1._wp / 288._wp ! =1/( 12^2 * 2 ) |
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| 52 | |
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[3] | 53 | !! * Substitutions |
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| 54 | # include "domzgr_substitute.h90" |
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[5836] | 55 | # include "vectopt_loop_substitute.h90" |
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[3] | 56 | !!---------------------------------------------------------------------- |
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[5836] | 57 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
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[1152] | 58 | !! $Id$ |
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[2715] | 59 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 60 | !!---------------------------------------------------------------------- |
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| 61 | CONTAINS |
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| 62 | |
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| 63 | SUBROUTINE ldf_dyn_init |
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| 64 | !!---------------------------------------------------------------------- |
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| 65 | !! *** ROUTINE ldf_dyn_init *** |
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| 66 | !! |
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| 67 | !! ** Purpose : set the horizontal ocean dynamics physics |
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| 68 | !! |
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[5836] | 69 | !! ** Method : the eddy viscosity coef. specification depends on: |
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| 70 | !! - the operator: |
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| 71 | !! ln_dynldf_lap = T laplacian operator |
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| 72 | !! ln_dynldf_blp = T bilaplacian operator |
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| 73 | !! - the parameter nn_ahm_ijk_t: |
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| 74 | !! nn_ahm_ijk_t = 0 => = constant |
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| 75 | !! = 10 => = F(z) : = constant with a reduction of 1/4 with depth |
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| 76 | !! =-20 => = F(i,j) = shape read in 'eddy_viscosity.nc' file |
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| 77 | !! = 20 = F(i,j) = F(e1,e2) or F(e1^3,e2^3) (lap or bilap case) |
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| 78 | !! =-30 => = F(i,j,k) = shape read in 'eddy_viscosity.nc' file |
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| 79 | !! = 30 = F(i,j,k) = 2D (case 20) + decrease with depth (case 10) |
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| 80 | !! = 31 = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator |
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| 81 | !! or |u|e^3/12 bilaplacian operator ) |
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[3] | 82 | !!---------------------------------------------------------------------- |
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[5836] | 83 | INTEGER :: jk ! dummy loop indices |
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| 84 | INTEGER :: ierr, inum, ios ! local integer |
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| 85 | REAL(wp) :: zah0 ! local scalar |
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| 86 | ! |
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| 87 | NAMELIST/namdyn_ldf/ ln_dynldf_lap, ln_dynldf_blp, & |
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| 88 | & ln_dynldf_lev, ln_dynldf_hor, ln_dynldf_iso, & |
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| 89 | & nn_ahm_ijk_t , rn_ahm_0, rn_ahm_b, rn_bhm_0 |
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| 90 | !!---------------------------------------------------------------------- |
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| 91 | ! |
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[4147] | 92 | REWIND( numnam_ref ) ! Namelist namdyn_ldf in reference namelist : Lateral physics |
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| 93 | READ ( numnam_ref, namdyn_ldf, IOSTAT = ios, ERR = 901) |
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| 94 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_ldf in reference namelist', lwp ) |
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[3] | 95 | |
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[4147] | 96 | REWIND( numnam_cfg ) ! Namelist namdyn_ldf in configuration namelist : Lateral physics |
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| 97 | READ ( numnam_cfg, namdyn_ldf, IOSTAT = ios, ERR = 902 ) |
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| 98 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namdyn_ldf in configuration namelist', lwp ) |
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[4624] | 99 | IF(lwm) WRITE ( numond, namdyn_ldf ) |
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[4147] | 100 | |
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[1601] | 101 | IF(lwp) THEN ! Parameter print |
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[3] | 102 | WRITE(numout,*) |
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| 103 | WRITE(numout,*) 'ldf_dyn : lateral momentum physics' |
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| 104 | WRITE(numout,*) '~~~~~~~' |
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[4147] | 105 | WRITE(numout,*) ' Namelist namdyn_ldf : set lateral mixing parameters' |
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[5836] | 106 | ! |
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| 107 | WRITE(numout,*) ' type :' |
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| 108 | WRITE(numout,*) ' laplacian operator ln_dynldf_lap = ', ln_dynldf_lap |
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| 109 | WRITE(numout,*) ' bilaplacian operator ln_dynldf_blp = ', ln_dynldf_blp |
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| 110 | ! |
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| 111 | WRITE(numout,*) ' direction of action :' |
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| 112 | WRITE(numout,*) ' iso-level ln_dynldf_lev = ', ln_dynldf_lev |
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| 113 | WRITE(numout,*) ' horizontal (geopotential) ln_dynldf_hor = ', ln_dynldf_hor |
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| 114 | WRITE(numout,*) ' iso-neutral ln_dynldf_iso = ', ln_dynldf_iso |
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| 115 | ! |
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| 116 | WRITE(numout,*) ' coefficients :' |
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| 117 | WRITE(numout,*) ' type of time-space variation nn_ahm_ijk_t = ', nn_ahm_ijk_t |
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| 118 | WRITE(numout,*) ' lateral laplacian eddy viscosity rn_ahm_0_lap = ', rn_ahm_0, ' m2/s' |
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| 119 | WRITE(numout,*) ' background viscosity (iso case) rn_ahm_b = ', rn_ahm_b, ' m2/s' |
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| 120 | WRITE(numout,*) ' lateral bilaplacian eddy viscosity rn_ahm_0_blp = ', rn_bhm_0, ' m4/s' |
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[3] | 121 | ENDIF |
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| 122 | |
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[5836] | 123 | ! ! Parameter control |
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| 124 | IF( .NOT.ln_dynldf_lap .AND. .NOT.ln_dynldf_blp ) THEN |
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| 125 | IF(lwp) WRITE(numout,*) ' No viscous operator selected. ahmt and ahmf are not allocated' |
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| 126 | l_ldfdyn_time = .FALSE. |
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| 127 | RETURN |
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[3] | 128 | ENDIF |
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[5836] | 129 | ! |
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| 130 | IF( ln_dynldf_blp .AND. ln_dynldf_iso ) THEN ! iso-neutral bilaplacian not implemented |
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| 131 | CALL ctl_stop( 'dyn_ldf_init: iso-neutral bilaplacian not coded yet' ) |
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[3] | 132 | ENDIF |
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| 133 | |
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[5836] | 134 | ! ... Space/Time variation of eddy coefficients |
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| 135 | ! ! allocate the ahm arrays |
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| 136 | ALLOCATE( ahmt(jpi,jpj,jpk) , ahmf(jpi,jpj,jpk) , STAT=ierr ) |
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| 137 | IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_dyn_init: failed to allocate arrays') |
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[1601] | 138 | ! |
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[5836] | 139 | ahmt(:,:,jpk) = 0._wp ! last level always 0 |
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| 140 | ahmf(:,:,jpk) = 0._wp |
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| 141 | ! |
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| 142 | ! ! value of eddy mixing coef. |
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| 143 | IF ( ln_dynldf_lap ) THEN ; zah0 = rn_ahm_0 ! laplacian operator |
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| 144 | ELSEIF( ln_dynldf_blp ) THEN ; zah0 = ABS( rn_bhm_0 ) ! bilaplacian operator |
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| 145 | ELSE ! NO viscous operator |
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| 146 | CALL ctl_warn( 'ldf_dyn_init: No lateral viscous operator used ' ) |
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[3] | 147 | ENDIF |
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[1601] | 148 | ! |
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[5836] | 149 | l_ldfdyn_time = .FALSE. ! no time variation except in case defined below |
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| 150 | ! |
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| 151 | IF( ln_dynldf_lap .OR. ln_dynldf_blp ) THEN ! only if a lateral diffusion operator is used |
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| 152 | ! |
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| 153 | SELECT CASE( nn_ahm_ijk_t ) ! Specification of space time variations of ahmt, ahmf |
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| 154 | ! |
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| 155 | CASE( 0 ) !== constant ==! |
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| 156 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = constant ' |
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| 157 | ahmt(:,:,:) = zah0 * tmask(:,:,:) |
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| 158 | ahmf(:,:,:) = zah0 * fmask(:,:,:) |
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| 159 | ! |
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| 160 | CASE( 10 ) !== fixed profile ==! |
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| 161 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( depth )' |
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| 162 | ahmt(:,:,1) = zah0 * tmask(:,:,1) ! constant surface value |
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| 163 | ahmf(:,:,1) = zah0 * fmask(:,:,1) |
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| 164 | CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) |
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| 165 | ! |
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| 166 | CASE ( -20 ) !== fixed horizontal shape read in file ==! |
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| 167 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j) read in eddy_viscosity.nc file' |
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| 168 | CALL iom_open( 'eddy_viscosity_2D.nc', inum ) |
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| 169 | CALL iom_get ( inum, jpdom_data, 'ahmt_2d', ahmt(:,:,1) ) |
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| 170 | CALL iom_get ( inum, jpdom_data, 'ahmf_2d', ahmf(:,:,1) ) |
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| 171 | CALL iom_close( inum ) |
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| 172 | !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ??? |
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| 173 | !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? |
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| 174 | !! better: check that the max is <=1 i.e. it is a shape from 0 to 1, not a coef that has physical dimension |
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| 175 | DO jk = 2, jpkm1 |
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| 176 | ahmt(:,:,jk) = ahmt(:,:,1) * tmask(:,:,jk) |
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| 177 | ahmf(:,:,jk) = ahmf(:,:,1) * fmask(:,:,jk) |
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| 178 | END DO |
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| 179 | ! |
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| 180 | CASE( 20 ) !== fixed horizontal shape ==! |
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| 181 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap. or blp. case)' |
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| 182 | IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor |
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| 183 | IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor^3 |
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| 184 | ! |
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| 185 | CASE( -30 ) !== fixed 3D shape read in file ==! |
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| 186 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F(i,j,k) read in eddy_diffusivity_3D.nc file' |
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| 187 | CALL iom_open( 'eddy_viscosity_3D.nc', inum ) |
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| 188 | CALL iom_get ( inum, jpdom_data, 'ahmt_3d', ahmt ) |
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| 189 | CALL iom_get ( inum, jpdom_data, 'ahmf_3d', ahmf ) |
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| 190 | CALL iom_close( inum ) |
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| 191 | !!gm Question : info for LAP or BLP case to take into account the SQRT in the bilaplacian case ???? |
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| 192 | !! do we introduce a scaling by the max value of the array, and then multiply by zah0 ???? |
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| 193 | DO jk = 1, jpkm1 |
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| 194 | ahmt(:,:,jk) = ahmt(:,:,jk) * tmask(:,:,jk) |
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| 195 | ahmf(:,:,jk) = ahmf(:,:,jk) * fmask(:,:,jk) |
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| 196 | END DO |
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| 197 | ! |
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| 198 | CASE( 30 ) !== fixed 3D shape ==! |
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| 199 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth )' |
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| 200 | IF( ln_dynldf_lap ) CALL ldf_c2d( 'DYN', 'LAP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor |
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| 201 | IF( ln_dynldf_blp ) CALL ldf_c2d( 'DYN', 'BLP', zah0, ahmt, ahmf ) ! surface value proportional to scale factor |
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| 202 | ! ! reduction with depth |
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| 203 | CALL ldf_c1d( 'DYN', r1_4, ahmt(:,:,1), ahmf(:,:,1), ahmt, ahmf ) |
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| 204 | ! |
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| 205 | CASE( 31 ) !== time varying 3D field ==! |
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| 206 | IF(lwp) WRITE(numout,*) ' momentum mixing coef. = F( latitude, longitude, depth , time )' |
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| 207 | IF(lwp) WRITE(numout,*) ' proportional to the velocity : |u|e/12 or |u|e^3/12' |
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| 208 | ! |
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| 209 | l_ldfdyn_time = .TRUE. ! will be calculated by call to ldf_dyn routine in step.F90 |
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| 210 | ! |
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| 211 | CASE DEFAULT |
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| 212 | CALL ctl_stop('ldf_dyn_init: wrong choice for nn_ahm_ijk_t, the type of space-time variation of ahm') |
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| 213 | END SELECT |
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| 214 | ! |
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| 215 | IF( ln_dynldf_blp .AND. .NOT. l_ldfdyn_time ) THEN ! bilapcian and no time variation: |
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| 216 | ahmt(:,:,:) = SQRT( ahmt(:,:,:) ) ! take the square root of the coefficient |
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| 217 | ahmf(:,:,:) = SQRT( ahmf(:,:,:) ) |
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| 218 | ENDIF |
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| 219 | ! |
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[71] | 220 | ENDIF |
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[1601] | 221 | ! |
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[5836] | 222 | END SUBROUTINE ldf_dyn_init |
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[71] | 223 | |
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| 224 | |
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[5836] | 225 | SUBROUTINE ldf_dyn( kt ) |
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[3] | 226 | !!---------------------------------------------------------------------- |
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[5836] | 227 | !! *** ROUTINE ldf_dyn *** |
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| 228 | !! |
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| 229 | !! ** Purpose : update at kt the momentum lateral mixing coeff. (ahmt and ahmf) |
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[3] | 230 | !! |
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[5836] | 231 | !! ** Method : time varying eddy viscosity coefficients: |
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[3] | 232 | !! |
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[5836] | 233 | !! nn_ahm_ijk_t = 31 ahmt, ahmf = F(i,j,k,t) = F(local velocity) |
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| 234 | !! ( |u|e /12 or |u|e^3/12 for laplacian or bilaplacian operator ) |
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| 235 | !! BLP case : sqrt of the eddy coef, since bilaplacian is en re-entrant laplacian |
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[3] | 236 | !! |
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[5836] | 237 | !! ** action : ahmt, ahmf update at each time step |
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[3] | 238 | !!---------------------------------------------------------------------- |
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[5836] | 239 | INTEGER, INTENT(in) :: kt ! time step index |
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[1601] | 240 | ! |
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[5836] | 241 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 242 | REAL(wp) :: zu2pv2_ij_p1, zu2pv2_ij, zu2pv2_ij_m1, zetmax, zefmax ! local scalar |
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| 243 | !!---------------------------------------------------------------------- |
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| 244 | ! |
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| 245 | IF( nn_timing == 1 ) CALL timing_start('ldf_dyn') |
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| 246 | ! |
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| 247 | SELECT CASE( nn_ahm_ijk_t ) !== Eddy vicosity coefficients ==! |
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| 248 | ! |
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| 249 | CASE( 31 ) !== time varying 3D field ==! = F( local velocity ) |
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| 250 | ! |
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| 251 | IF( ln_dynldf_lap ) THEN ! laplacian operator : |u| e /12 = |u/144| e |
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| 252 | DO jk = 1, jpkm1 |
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| 253 | DO jj = 2, jpjm1 |
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| 254 | DO ji = fs_2, fs_jpim1 |
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| 255 | zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) |
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| 256 | zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) |
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| 257 | zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) |
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| 258 | zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) |
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| 259 | zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) |
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| 260 | ahmt(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax * tmask(ji,jj,jk) ! 288= 12*12 * 2 |
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| 261 | ahmf(ji,jj,jk) = SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax * fmask(ji,jj,jk) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | END DO |
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| 265 | ELSEIF( ln_dynldf_blp ) THEN ! bilaplacian operator : sqrt( |u| e^3 /12 ) = sqrt( |u/144| e ) * e |
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| 266 | DO jk = 1, jpkm1 |
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| 267 | DO jj = 2, jpjm1 |
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| 268 | DO ji = fs_2, fs_jpim1 |
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| 269 | zu2pv2_ij_p1 = ub(ji ,jj+1,jk) * ub(ji ,jj+1,jk) + vb(ji+1,jj ,jk) * vb(ji+1,jj ,jk) |
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| 270 | zu2pv2_ij = ub(ji ,jj ,jk) * ub(ji ,jj ,jk) + vb(ji ,jj ,jk) * vb(ji ,jj ,jk) |
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| 271 | zu2pv2_ij_m1 = ub(ji-1,jj ,jk) * ub(ji-1,jj ,jk) + vb(ji ,jj-1,jk) * vb(ji ,jj-1,jk) |
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| 272 | zetmax = MAX( e1t(ji,jj) , e2t(ji,jj) ) |
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| 273 | zefmax = MAX( e1f(ji,jj) , e2f(ji,jj) ) |
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| 274 | ahmt(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_m1) * r1_288 ) * zetmax ) * zetmax * tmask(ji,jj,jk) |
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| 275 | ahmf(ji,jj,jk) = SQRT( SQRT( (zu2pv2_ij + zu2pv2_ij_p1) * r1_288 ) * zefmax ) * zefmax * fmask(ji,jj,jk) |
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| 276 | END DO |
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| 277 | END DO |
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| 278 | END DO |
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| 279 | ENDIF |
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| 280 | ! |
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| 281 | CALL lbc_lnk( ahmt, 'T', 1. ) ; CALL lbc_lnk( ahmf, 'F', 1. ) |
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| 282 | ! |
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| 283 | END SELECT |
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| 284 | ! |
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| 285 | CALL iom_put( "ahmt_2d", ahmt(:,:,1) ) ! surface u-eddy diffusivity coeff. |
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| 286 | CALL iom_put( "ahmf_2d", ahmf(:,:,1) ) ! surface v-eddy diffusivity coeff. |
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| 287 | CALL iom_put( "ahmt_3d", ahmt(:,:,:) ) ! 3D u-eddy diffusivity coeff. |
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| 288 | CALL iom_put( "ahmf_3d", ahmf(:,:,:) ) ! 3D v-eddy diffusivity coeff. |
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| 289 | ! |
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| 290 | IF( nn_timing == 1 ) CALL timing_stop('ldf_dyn') |
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| 291 | ! |
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| 292 | END SUBROUTINE ldf_dyn |
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[3] | 293 | |
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| 294 | !!====================================================================== |
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| 295 | END MODULE ldfdyn |
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