[14801] | 1 | MODULE dynldf_iso_lf |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynldf_iso *** |
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| 4 | !! Ocean dynamics: lateral viscosity trend (rotated laplacian operator) |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 97-07 (G. Madec) Original code |
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| 7 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 8 | !! - ! 2004-08 (C. Talandier) New trends organization |
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| 9 | !! 2.0 ! 2005-11 (G. Madec) s-coordinate: horizontal diffusion |
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| 10 | !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, |
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| 11 | !! ! add velocity dependent coefficient and optional read in file |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! dyn_ldf_iso : update the momentum trend with the horizontal part |
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| 16 | !! of the lateral diffusion using isopycnal or horizon- |
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| 17 | !! tal s-coordinate laplacian operator. |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE oce ! ocean dynamics and tracers |
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| 20 | USE dom_oce ! ocean space and time domain |
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| 21 | USE ldfdyn ! lateral diffusion: eddy viscosity coef. |
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| 22 | USE ldftra ! lateral physics: eddy diffusivity |
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| 23 | USE zdf_oce ! ocean vertical physics |
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| 24 | USE ldfslp ! iso-neutral slopes |
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| 25 | ! |
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| 26 | USE in_out_manager ! I/O manager |
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| 27 | USE lib_mpp ! MPP library |
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| 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 29 | USE prtctl ! Print control |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | PUBLIC dyn_ldf_iso_lf ! called by step.F90 |
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| 35 | PUBLIC dyn_ldf_iso_alloc_lf ! called by nemogcm.F90 |
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| 36 | |
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| 37 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: akzu, akzv !: vertical component of rotated lateral viscosity |
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| 38 | |
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| 39 | !! * Substitutions |
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| 40 | # include "do_loop_substitute.h90" |
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| 41 | # include "domzgr_substitute.h90" |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 44 | !! $Id: dynldf_iso.F90 14757 2021-04-27 15:33:44Z francesca $ |
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| 45 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | CONTAINS |
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| 48 | |
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| 49 | INTEGER FUNCTION dyn_ldf_iso_alloc_lf() |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE dyn_ldf_iso_alloc *** |
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| 52 | !!---------------------------------------------------------------------- |
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[14818] | 53 | dyn_ldf_iso_alloc_lf = 0 |
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| 54 | IF( .NOT. ALLOCATED( akzu ) ) THEN |
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| 55 | ALLOCATE( akzu(jpi,jpj,jpk), akzv(jpi,jpj,jpk), STAT=dyn_ldf_iso_alloc_lf ) |
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| 56 | ! |
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| 57 | IF( dyn_ldf_iso_alloc_lf /= 0 ) CALL ctl_warn('dyn_ldf_iso_alloc: array allocate failed.') |
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| 58 | ENDIF |
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[14801] | 59 | END FUNCTION dyn_ldf_iso_alloc_lf |
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| 60 | |
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| 61 | |
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| 62 | SUBROUTINE dyn_ldf_iso_lf( kt, Kbb, Kmm, puu, pvv, Krhs ) |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | !! *** ROUTINE dyn_ldf_iso *** |
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| 65 | !! |
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| 66 | !! ** Purpose : Compute the before trend of the rotated laplacian |
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| 67 | !! operator of lateral momentum diffusion except the diagonal |
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| 68 | !! vertical term that will be computed in dynzdf module. Add it |
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| 69 | !! to the general trend of momentum equation. |
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| 70 | !! |
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| 71 | !! ** Method : |
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| 72 | !! The momentum lateral diffusive trend is provided by a 2nd |
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| 73 | !! order operator rotated along neutral or geopotential surfaces |
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| 74 | !! (in s-coordinates). |
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| 75 | !! It is computed using before fields (forward in time) and isopyc- |
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| 76 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 77 | !! Here, u and v components are considered as 2 independent scalar |
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| 78 | !! fields. Therefore, the property of splitting divergent and rota- |
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| 79 | !! tional part of the flow of the standard, z-coordinate laplacian |
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| 80 | !! momentum diffusion is lost. |
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| 81 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 82 | !! u-component: |
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| 83 | !! ziut = ( ahmt + rn_ahm_b ) e2t * e3t / e1t di[ uu ] |
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| 84 | !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(uu)) ] |
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| 85 | !! zjuf = ( ahmf + rn_ahm_b ) e1f * e3f / e2f dj[ uu ] |
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| 86 | !! - ahmf e1f * mi(vslp) dk[ mj(mk(uu)) ] |
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| 87 | !! v-component: |
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| 88 | !! zivf = ( ahmf + rn_ahm_b ) e2t * e3t / e1t di[ vv ] |
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| 89 | !! - ahmf e2t * mj(uslp) dk[ mi(mk(vv)) ] |
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| 90 | !! zjvt = ( ahmt + rn_ahm_b ) e1f * e3f / e2f dj[ vv ] |
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| 91 | !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vv)) ] |
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| 92 | !! take the horizontal divergence of the fluxes: |
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| 93 | !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } |
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| 94 | !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } |
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| 95 | !! Add this trend to the general trend (uu(rhs),vv(rhs)): |
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| 96 | !! uu(rhs) = uu(rhs) + diffu |
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| 97 | !! CAUTION: here the isopycnal part is with a coeff. of aht. This |
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| 98 | !! should be modified for applications others than orca_r2 (!!bug) |
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| 99 | !! |
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| 100 | !! ** Action : |
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| 101 | !! -(puu(:,:,:,Krhs),pvv(:,:,:,Krhs)) updated with the before geopotential harmonic mixing trend |
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| 102 | !! -(akzu,akzv) to accompt for the diagonal vertical component |
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| 103 | !! of the rotated operator in dynzdf module |
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| 104 | !!---------------------------------------------------------------------- |
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| 105 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 106 | INTEGER , INTENT( in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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| 107 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
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| 108 | ! |
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| 109 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 110 | REAL(wp) :: zabe1, zmskt, zmkt, zuav, zuwslpi, zuwslpj ! local scalars |
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| 111 | REAL(wp) :: zabe2, zmskf, zmkf, zvav, zvwslpi, zvwslpj ! - - |
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| 112 | REAL(wp) :: zcof0, zcof1, zcof2, zcof3, zcof4, zaht_0 ! - - |
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| 113 | REAL(wp) :: zdiu, zdiu_km1, zdiu_ip1, zdiu_ip1_km1 ! - - |
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| 114 | REAL(wp) :: zdju, zdju_km1, zdj1u, zdj1u_km1 |
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| 115 | REAL(wp) :: zdjv, zdjv_km1, zdj1v, zdj1v_km1 |
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| 116 | REAL(wp) :: zdiv_im1_km1, zdiv, zdiv_im1, zdiv_km1 ! - - |
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[14818] | 117 | REAL(wp), DIMENSION(A2D(nn_hls)) :: ziut, zivf, zdku, zdk1u ! 2D workspace |
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| 118 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zjuf, zjvt, zdkv, zdk1v ! - - |
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| 119 | REAL(wp), DIMENSION(A1Di(nn_hls),jpk) :: zfuw, zfvw |
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[14801] | 120 | !!---------------------------------------------------------------------- |
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| 121 | ! |
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[14818] | 122 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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| 123 | IF( kt == nit000 ) THEN |
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| 124 | IF(lwp) WRITE(numout,*) |
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| 125 | IF(lwp) WRITE(numout,*) 'dyn_ldf_iso_lf : iso-neutral laplacian diffusive operator or ' |
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| 126 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' |
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| 127 | ! ! allocate dyn_ldf_bilap arrays |
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| 128 | IF( dyn_ldf_iso_alloc_lf() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_iso: failed to allocate arrays') |
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| 129 | ENDIF |
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[14801] | 130 | ENDIF |
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| 131 | |
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| 132 | !!gm bug is dyn_ldf_iso called before tra_ldf_iso .... <<<<<===== TO BE CHECKED |
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| 133 | ! s-coordinate: Iso-level diffusion on momentum but not on tracer |
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| 134 | IF( ln_dynldf_hor .AND. ln_traldf_iso ) THEN |
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| 135 | ! |
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[14818] | 136 | DO_3D_OVR( 1, 1, 1, 1, 1, jpk ) ! set the slopes of iso-level |
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[14801] | 137 | uslp (ji,jj,jk) = - ( gdept(ji+1,jj,jk,Kbb) - gdept(ji ,jj ,jk,Kbb) ) * r1_e1u(ji,jj) * umask(ji,jj,jk) |
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| 138 | vslp (ji,jj,jk) = - ( gdept(ji,jj+1,jk,Kbb) - gdept(ji ,jj ,jk,Kbb) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk) |
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| 139 | wslpi(ji,jj,jk) = - ( gdepw(ji+1,jj,jk,Kbb) - gdepw(ji-1,jj,jk,Kbb) ) * r1_e1t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
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| 140 | wslpj(ji,jj,jk) = - ( gdepw(ji,jj+1,jk,Kbb) - gdepw(ji,jj-1,jk,Kbb) ) * r1_e2t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
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| 141 | END_3D |
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| 142 | ! |
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| 143 | ENDIF |
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| 144 | |
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| 145 | zaht_0 = 0.5_wp * rn_Ud * rn_Ld ! aht_0 from namtra_ldf = zaht_max |
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| 146 | |
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| 147 | ! ! =============== |
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| 148 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 149 | ! ! =============== |
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| 150 | |
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| 151 | ! Vertical u- and v-shears at level jk and jk+1 |
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| 152 | ! --------------------------------------------- |
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| 153 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
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| 154 | ! zdkv(jk=1)=zdkv(jk=2) |
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| 155 | |
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[14818] | 156 | DO_2D( 1, 1, 1, 1 ) |
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| 157 | zdk1u(ji,jj) = ( puu(ji,jj,jk,Kbb) -puu(ji,jj,jk+1,Kbb) ) * umask(ji,jj,jk+1) |
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| 158 | zdk1v(ji,jj) = ( pvv(ji,jj,jk,Kbb) -pvv(ji,jj,jk+1,Kbb) ) * vmask(ji,jj,jk+1) |
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| 159 | END_2D |
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[14801] | 160 | |
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| 161 | IF( jk == 1 ) THEN |
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| 162 | zdku(:,:) = zdk1u(:,:) |
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| 163 | zdkv(:,:) = zdk1v(:,:) |
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| 164 | ELSE |
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[14818] | 165 | DO_2D( 1, 1, 1, 1 ) |
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| 166 | zdku(ji,jj) = ( puu(ji,jj,jk-1,Kbb) - puu(ji,jj,jk,Kbb) ) * umask(ji,jj,jk) |
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| 167 | zdkv(ji,jj) = ( pvv(ji,jj,jk-1,Kbb) - pvv(ji,jj,jk,Kbb) ) * vmask(ji,jj,jk) |
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| 168 | END_2D |
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[14801] | 169 | ENDIF |
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| 170 | |
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| 171 | ! -----f----- |
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| 172 | ! Horizontal fluxes on U | |
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| 173 | ! --------------------=== t u t |
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| 174 | ! | |
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| 175 | ! i-flux at t-point -----f----- |
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| 176 | |
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| 177 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 178 | DO_2D( 0, 1, 0, 0 ) |
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| 179 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e2t(ji,jj) & |
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| 180 | & * MIN( e3u(ji ,jj,jk,Kmm), & |
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| 181 | & e3u(ji-1,jj,jk,Kmm) ) * r1_e1t(ji,jj) |
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| 182 | |
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| 183 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
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| 184 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
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| 185 | |
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| 186 | zcof1 = - zaht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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| 187 | |
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| 188 | ziut(ji,jj) = ( zabe1 * ( puu(ji,jj,jk,Kbb) - puu(ji-1,jj,jk,Kbb) ) & |
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| 189 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 190 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 191 | END_2D |
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| 192 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 193 | DO_2D( 0, 1, 0, 0 ) |
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| 194 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) & |
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| 195 | & * e2t(ji,jj) * e3t(ji,jj,jk,Kmm) * r1_e1t(ji,jj) |
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| 196 | |
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| 197 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk+1) & |
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| 198 | & + umask(ji-1,jj,jk+1) + umask(ji,jj,jk ) , 1._wp ) |
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| 199 | |
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| 200 | zcof1 = - zaht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
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| 201 | |
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| 202 | ziut(ji,jj) = ( zabe1 * ( puu(ji,jj,jk,Kbb) - puu(ji-1,jj,jk,Kbb) ) & |
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| 203 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
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| 204 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
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| 205 | END_2D |
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| 206 | ENDIF |
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| 207 | |
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| 208 | ! j-flux at f-point |
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| 209 | DO_2D( 1, 0, 1, 0 ) |
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| 210 | zabe2 = ( ahmf(ji,jj,jk) + rn_ahm_b ) & |
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| 211 | & * e1f(ji,jj) * e3f(ji,jj,jk) * r1_e2f(ji,jj) |
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| 212 | |
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| 213 | zmskf = 1._wp / MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
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| 214 | & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
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| 215 | |
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| 216 | zcof2 = - zaht_0 * e1f(ji,jj) * zmskf * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
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| 217 | |
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| 218 | zjuf(ji,jj) = ( zabe2 * ( puu(ji,jj+1,jk,Kbb) - puu(ji,jj,jk,Kbb) ) & |
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| 219 | & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
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| 220 | & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) * fmask(ji,jj,jk) |
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| 221 | |
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| 222 | ! | t | |
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| 223 | ! Horizontal fluxes on V | | |
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| 224 | ! --------------------=== f---v---f |
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| 225 | ! | | |
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| 226 | ! i-flux at f-point | t | |
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| 227 | |
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| 228 | zabe1 = ( ahmf(ji,jj,jk) + rn_ahm_b ) & |
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| 229 | & * e2f(ji,jj) * e3f(ji,jj,jk) * r1_e1f(ji,jj) |
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| 230 | |
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| 231 | zmskf = 1._wp / MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
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| 232 | & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
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| 233 | |
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| 234 | zcof1 = - zaht_0 * e2f(ji,jj) * zmskf * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
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| 235 | |
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| 236 | zivf(ji,jj) = ( zabe1 * ( pvv(ji+1,jj,jk,Kbb) - pvv(ji,jj,jk,Kbb) ) & |
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| 237 | & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & |
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| 238 | & + zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) * fmask(ji,jj,jk) |
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| 239 | END_2D |
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| 240 | |
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| 241 | ! j-flux at t-point |
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| 242 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
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| 243 | DO_2D( 1, 0, 0, 1 ) |
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| 244 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e1t(ji,jj) & |
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| 245 | & * MIN( e3v(ji,jj ,jk,Kmm), & |
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| 246 | & e3v(ji,jj-1,jk,Kmm) ) * r1_e2t(ji,jj) |
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| 247 | |
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| 248 | zmskt = 1._wp / MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 249 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
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| 250 | |
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| 251 | zcof2 = - zaht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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| 252 | |
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| 253 | zjvt(ji,jj) = ( zabe2 * ( pvv(ji,jj,jk,Kbb) - pvv(ji,jj-1,jk,Kbb) ) & |
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| 254 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 255 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 256 | END_2D |
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| 257 | ELSE ! other coordinate system (zco or sco) : e3t |
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| 258 | DO_2D( 1, 0, 0, 1 ) |
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| 259 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) & |
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| 260 | & * e1t(ji,jj) * e3t(ji,jj,jk,Kmm) * r1_e2t(ji,jj) |
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| 261 | |
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| 262 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
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| 263 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
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| 264 | |
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| 265 | zcof2 = - zaht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
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| 266 | |
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| 267 | zjvt(ji,jj) = ( zabe2 * ( pvv(ji,jj,jk,Kbb) - pvv(ji,jj-1,jk,Kbb) ) & |
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| 268 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
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| 269 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
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| 270 | END_2D |
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| 271 | ENDIF |
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| 272 | |
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| 273 | |
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| 274 | ! Second derivative (divergence) and add to the general trend |
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| 275 | ! ----------------------------------------------------------- |
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| 276 | DO_2D( 0, 0, 0, 0 ) !!gm Question vectop possible??? !!bug |
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| 277 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) + ( ziut(ji+1,jj) - ziut(ji,jj ) & |
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| 278 | & + zjuf(ji ,jj) - zjuf(ji,jj-1) ) * r1_e1e2u(ji,jj) & |
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| 279 | & / e3u(ji,jj,jk,Kmm) |
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| 280 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) + ( zivf(ji,jj ) - zivf(ji-1,jj) & |
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| 281 | & + zjvt(ji,jj+1) - zjvt(ji,jj ) ) * r1_e1e2v(ji,jj) & |
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| 282 | & / e3v(ji,jj,jk,Kmm) |
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| 283 | END_2D |
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| 284 | ! ! =============== |
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| 285 | END DO ! End of slab |
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| 286 | ! ! =============== |
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| 287 | |
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| 288 | ! print sum trends (used for debugging) |
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| 289 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=puu(:,:,:,Krhs), clinfo1=' ldfh - Ua: ', mask1=umask, & |
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| 290 | & tab3d_2=pvv(:,:,:,Krhs), clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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| 291 | |
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| 292 | |
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| 293 | ! ! =============== |
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[14818] | 294 | DO jj = ntsj, ntej ! Vertical slab |
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[14801] | 295 | ! ! =============== |
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| 296 | |
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| 297 | |
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| 298 | ! I. vertical trends associated with the lateral mixing |
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| 299 | ! ===================================================== |
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| 300 | ! (excluding the vertical flux proportional to dk[t] |
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| 301 | |
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| 302 | ! I.2 Vertical fluxes |
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| 303 | ! ------------------- |
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| 304 | |
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| 305 | ! Surface and bottom vertical fluxes set to zero |
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[14818] | 306 | DO ji = ntsi - nn_hls, ntei + nn_hls |
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[14801] | 307 | zfuw(ji, 1 ) = 0.e0 |
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| 308 | zfvw(ji, 1 ) = 0.e0 |
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| 309 | zfuw(ji,jpk) = 0.e0 |
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| 310 | zfvw(ji,jpk) = 0.e0 |
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| 311 | END DO |
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| 312 | |
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| 313 | ! interior (2=<jk=<jpk-1) on U and V fields |
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| 314 | DO jk = 2, jpkm1 |
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[14818] | 315 | DO ji = ntsi, ntei |
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[14801] | 316 | ! I.1 horizontal momentum gradient |
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| 317 | ! -------------------------------- |
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| 318 | ! i-gradient of u at jj |
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| 319 | zdiu = tmask(ji,jj,jk) * ( puu(ji,jj ,jk,Kbb) - puu(ji-1,jj ,jk,Kbb) ) |
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| 320 | zdiu_km1 = tmask(ji,jj,jk-1) * ( puu(ji,jj,jk-1,Kbb) - puu(ji-1,jj,jk-1,Kbb) ) |
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| 321 | zdiu_ip1 = tmask(ji+1,jj,jk) * ( puu(ji+1,jj,jk,Kbb) - puu(ji,jj,jk,Kbb) ) |
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| 322 | zdiu_ip1_km1 = tmask(ji+1,jj,jk-1) * ( puu(ji+1,jj,jk-1,Kbb) - puu(ji,jj,jk-1,Kbb) ) |
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| 323 | ! j-gradient of u and v at jj |
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| 324 | zdju = fmask(ji,jj,jk) * ( puu(ji,jj+1,jk,Kbb) - puu(ji,jj,jk,Kbb) ) |
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| 325 | zdju_km1 = fmask(ji,jj,jk-1) * ( puu(ji,jj+1,jk-1,Kbb) - puu(ji,jj,jk-1,Kbb) ) |
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| 326 | ! j-gradient of u and v at jj+1 |
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| 327 | zdj1u = fmask(ji,jj-1,jk) * ( puu(ji,jj,jk,Kbb) - puu(ji,jj-1,jk,Kbb) ) |
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| 328 | zdj1u_km1 = fmask(ji,jj-1,jk-1) * ( puu(ji,jj,jk-1,Kbb) - puu(ji,jj-1,jk-1,Kbb) ) |
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| 329 | ! |
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| 330 | zcof0 = 0.5_wp * zaht_0 * umask(ji,jj,jk) |
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| 331 | ! |
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| 332 | zuwslpi = zcof0 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
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| 333 | zuwslpj = zcof0 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
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| 334 | ! |
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| 335 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
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| 336 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ) , 1. ) |
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| 337 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1) + fmask(ji,jj,jk-1) & |
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| 338 | + fmask(ji,jj-1,jk ) + fmask(ji,jj,jk ) , 1. ) |
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| 339 | |
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| 340 | zcof3 = - e2u(ji,jj) * zmkt * zuwslpi |
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| 341 | zcof4 = - e1u(ji,jj) * zmkf * zuwslpj |
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| 342 | ! vertical flux on u field |
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| 343 | zfuw(ji,jk) = zcof3 * ( zdiu_km1 + zdiu_ip1_km1 + zdiu + zdiu_ip1 ) & |
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| 344 | & + zcof4 * ( zdj1u_km1 + zdju_km1 + zdj1u + zdju ) |
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| 345 | ! vertical mixing coefficient (akzu) |
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| 346 | ! Note: zcof0 include zaht_0, so divided by zaht_0 to obtain slp^2 * zaht_0 |
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| 347 | akzu(ji,jj,jk) = ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) / zaht_0 |
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| 348 | |
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| 349 | ! I.1 horizontal momentum gradient |
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| 350 | ! -------------------------------- |
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| 351 | ! j-gradient of u and v at jj |
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| 352 | zdjv = tmask(ji,jj ,jk) * ( pvv(ji,jj ,jk,Kbb) - pvv(ji ,jj-1,jk,Kbb) ) |
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| 353 | zdjv_km1 = tmask(ji,jj,jk-1) * ( pvv(ji,jj,jk-1,Kbb) - pvv(ji,jj-1,jk-1,Kbb) ) |
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| 354 | ! i-gradient of v at jj |
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| 355 | zdiv = fmask(ji,jj,jk) * ( pvv(ji+1,jj,jk,Kbb) - pvv(ji,jj,jk,Kbb) ) |
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| 356 | zdiv_im1 = fmask(ji-1,jj,jk) * ( pvv(ji,jj,jk,Kbb) - pvv(ji-1,jj,jk,Kbb) ) |
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| 357 | zdiv_km1 = fmask(ji,jj,jk-1) * ( pvv(ji+1,jj,jk-1,Kbb) - pvv(ji,jj,jk-1,Kbb) ) |
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| 358 | zdiv_im1_km1 = fmask(ji-1,jj,jk-1) * ( pvv(ji,jj,jk-1,Kbb) - pvv(ji-1,jj,jk-1,Kbb) ) |
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| 359 | ! j-gradient of u and v at jj+1 |
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| 360 | zdj1v = tmask(ji,jj+1,jk) * ( pvv(ji,jj+1,jk,Kbb) - pvv(ji,jj,jk,Kbb) ) |
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| 361 | zdj1v_km1 = tmask(ji,jj+1,jk-1) * ( pvv(ji,jj+1,jk-1,Kbb) - pvv(ji,jj,jk-1,Kbb) ) |
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| 362 | ! |
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| 363 | zcof0 = 0.5_wp * zaht_0 * vmask(ji,jj,jk) |
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| 364 | ! |
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| 365 | zvwslpi = zcof0 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
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| 366 | zvwslpj = zcof0 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
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| 367 | ! |
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| 368 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
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| 369 | & + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ) , 1. ) |
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| 370 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
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| 371 | & + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ) , 1. ) |
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| 372 | |
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| 373 | zcof3 = - e2v(ji,jj) * zmkf * zvwslpi |
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| 374 | zcof4 = - e1v(ji,jj) * zmkt * zvwslpj |
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| 375 | ! vertical flux on v field |
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| 376 | zfvw(ji,jk) = zcof3 * ( zdiv_km1 + zdiv_im1_km1 + zdiv + zdiv_im1 ) & |
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| 377 | & + zcof4 * ( zdjv_km1 + zdj1v_km1 + zdjv + zdj1v ) |
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| 378 | ! vertical mixing coefficient (akzv) |
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| 379 | ! Note: zcof0 include zaht_0, so divided by zaht_0 to obtain slp^2 * zaht_0 |
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| 380 | akzv(ji,jj,jk) = ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) / zaht_0 |
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| 381 | END DO |
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| 382 | END DO |
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| 383 | |
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| 384 | |
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| 385 | ! I.3 Divergence of vertical fluxes added to the general tracer trend |
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| 386 | ! ------------------------------------------------------------------- |
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| 387 | DO jk = 1, jpkm1 |
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[14818] | 388 | DO ji = ntsi, ntei |
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[14801] | 389 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) + ( zfuw(ji,jk) - zfuw(ji,jk+1) ) * r1_e1e2u(ji,jj) & |
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| 390 | & / e3u(ji,jj,jk,Kmm) |
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| 391 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) + ( zfvw(ji,jk) - zfvw(ji,jk+1) ) * r1_e1e2v(ji,jj) & |
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| 392 | & / e3v(ji,jj,jk,Kmm) |
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| 393 | END DO |
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| 394 | END DO |
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| 395 | ! ! =============== |
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| 396 | END DO ! End of slab |
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| 397 | ! ! =============== |
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| 398 | END SUBROUTINE dyn_ldf_iso_lf |
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| 399 | |
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| 400 | !!====================================================================== |
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| 401 | END MODULE dynldf_iso_lf |
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