MODULE dynldf_iso !!====================================================================== !! *** MODULE dynldf_iso *** !! Ocean dynamics: lateral viscosity trend !!====================================================================== #if defined key_ldfslp || defined key_esopa !!---------------------------------------------------------------------- !! 'key_ldfslp' slopes of the direction of mixing !!---------------------------------------------------------------------- !! dyn_ldf_iso : update the momentum trend with the horizontal part !! of the lateral diffusion using isopycnal or horizon- !! tal s-coordinate laplacian operator. !!---------------------------------------------------------------------- !! * Modules used USE oce ! ocean dynamics and tracers USE dom_oce ! ocean space and time domain USE ldfdyn_oce ! ocean dynamics lateral physics USE ldftra_oce ! ocean tracer lateral physics USE zdf_oce ! ocean vertical physics USE trdmod ! ocean dynamics trends USE trdmod_oce ! ocean variables trends USE ldfslp ! iso-neutral slopes USE in_out_manager ! I/O manager USE prtctl ! Print control IMPLICIT NONE PRIVATE !! * Routine accessibility PUBLIC dyn_ldf_iso ! called by step.F90 !! * Substitutions # include "domzgr_substitute.h90" # include "ldfdyn_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! OPA 9.0 , LOCEAN-IPSL (2005) !! $Header$ !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt !!---------------------------------------------------------------------- CONTAINS SUBROUTINE dyn_ldf_iso( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE dyn_ldf_iso *** !! !! ** Purpose : Compute the before trend of the horizontal part of the !! lateral momentum diffusion and add it to the general trend of !! momentum equation. !! !! ** Method : !! The horizontal component of the lateral diffusive trends on !! momentum is provided by a 2nd order operator rotated along neu- !! tral or geopotential surfaces (in s-coordinates). !! It is computed using before fields (forward in time) and isopyc- !! nal or geopotential slopes computed in routine ldfslp or inildf. !! Here, u and v components are considered as 2 independent scalar !! fields. Therefore, the property of splitting divergent and rota- !! tional part of the flow of the standard, z-coordinate laplacian !! momentum diffusion is lost. !! horizontal fluxes associated with the rotated lateral mixing: !! u-component: !! ziut = ( ahmt + ahmb0 ) e2t * e3t / e1t di[ ub ] !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(ub)) ] !! zjuf = ( ahmf + ahmb0 ) e1f * e3f / e2f dj[ ub ] !! - ahmf e1f * mi(vslp) dk[ mj(mk(ub)) ] !! v-component: !! zivf = ( ahmf + ahmb0 ) e2t * e3t / e1t di[ vb ] !! - ahmf e2t * mj(uslp) dk[ mi(mk(vb)) ] !! zjvt = ( ahmt + ahmb0 ) e1f * e3f / e2f dj[ ub ] !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vb)) ] !! take the horizontal divergence of the fluxes: !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } !! Add this trend to the general trend (ua,va): !! ua = ua + diffu !! 'key_trddyn' defined: the trends are saved for diagnostics. !! !! ** Action : !! Update (ua,va) arrays with the before geopotential biharmonic !! mixing trend. !! Save in (uldftrd,vldftrd) arrays the trends if 'key_trddyn' defined !! !! History : !! 8.0 ! 97-07 (G. Madec) Original code !! 8.5 ! 02-08 (G. Madec) F90: Free form and module !! 9.0 ! 04-08 (C. Talandier) New trends organization !!---------------------------------------------------------------------- !! * Modules used USE oce, ONLY : ztdua => ta, & ! use ta as 3D workspace ztdva => sa ! use sa as 3D workspace !! * Arguments INTEGER, INTENT( in ) :: kt ! ocean time-step index !! * Local declarations INTEGER :: ji, jj, jk ! dummy loop indices REAL(wp) :: & zabe1, zabe2, zcof1, zcof2, & ! temporary scalars zmskt, zmskf, zbu, zbv, & zuah, zvah REAL(wp), DIMENSION(jpi,jpj) :: & ziut, zjuf, zjvt, zivf, & ! temporary workspace zdku, zdk1u, zdkv, zdk1v !!---------------------------------------------------------------------- IF( kt == nit000 ) THEN IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'dyn_ldf_iso : iso-neutral laplacian diffusive operator or ' IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' ENDIF ! Save ua and va trends IF( l_trddyn ) THEN ztdua(:,:,:) = ua(:,:,:) ztdva(:,:,:) = va(:,:,:) ENDIF ! ! =============== DO jk = 1, jpkm1 ! Horizontal slab ! ! =============== ! Vertical u- and v-shears at level jk and jk+1 ! --------------------------------------------- ! surface boundary condition: zdku(jk=1)=zdku(jk=2) ! zdkv(jk=1)=zdkv(jk=2) zdk1u(:,:) = ( ub(:,:,jk) -ub(:,:,jk+1) ) * umask(:,:,jk+1) zdk1v(:,:) = ( vb(:,:,jk) -vb(:,:,jk+1) ) * vmask(:,:,jk+1) IF( jk == 1 ) THEN zdku(:,:) = zdk1u(:,:) zdkv(:,:) = zdk1v(:,:) ELSE zdku(:,:) = ( ub(:,:,jk-1) - ub(:,:,jk) ) * umask(:,:,jk) zdkv(:,:) = ( vb(:,:,jk-1) - vb(:,:,jk) ) * vmask(:,:,jk) ENDIF ! -----f----- ! Horizontal fluxes on U | ! --------------------=== t u t ! | ! i-flux at t-point -----f----- DO jj = 2, jpjm1 DO ji = fs_2, jpi ! vector opt. zabe1 = ( fsahmt(ji,jj,jk) + ahmb0 ) & #if defined key_partial_steps * e2t(ji,jj) * MIN( fse3u(ji,jj,jk), fse3u(ji-1, jj,jk) ) / e1t(ji,jj) #else * e2t(ji,jj) * fse3t(ji,jj,jk) / e1t(ji,jj) #endif zmskt = 1./MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ), 1. ) zcof1 = - aht0 * e2t(ji,jj) * zmskt & * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) ziut(ji,jj) = tmask(ji,jj,jk) * & ( zabe1 * ( ub(ji,jj,jk) - ub(ji-1,jj,jk) ) & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) END DO END DO ! j-flux at f-point DO jj = 1, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zabe2 = ( fsahmf(ji,jj,jk) + ahmb0 ) & * e1f(ji,jj) * fse3f(ji,jj,jk) / e2f(ji,jj) zmskf = 1./MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ), 1. ) zcof2 = - aht0 * e1f(ji,jj) * zmskf & * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) zjuf(ji,jj) = fmask(ji,jj,jk) * & ( zabe2 * ( ub(ji,jj+1,jk) - ub(ji,jj,jk) ) & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) END DO END DO ! | t | ! Horizontal fluxes on V | | ! --------------------=== f---v---f ! | | ! i-flux at f-point | t | DO jj = 2, jpjm1 DO ji = 1, fs_jpim1 ! vector opt. zabe1 = ( fsahmf(ji,jj,jk) + ahmb0 ) & * e2f(ji,jj) * fse3f(ji,jj,jk) / e1f(ji,jj) zmskf = 1./MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ), 1. ) zcof1 = - aht0 * e2f(ji,jj) * zmskf & * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) zivf(ji,jj) = fmask(ji,jj,jk) * & ( zabe1 * ( vb(ji+1,jj,jk) - vb(ji,jj,jk) ) & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & +zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) END DO END DO ! j-flux at t-point DO jj = 2, jpj DO ji = 1, fs_jpim1 ! vector opt. zabe2 = ( fsahmt(ji,jj,jk) + ahmb0 ) & #if defined key_partial_steps * e1t(ji,jj) * MIN( fse3v(ji,jj,jk), fse3v(ji, jj-1, jk) ) / e2t(ji,jj) #else * e1t(ji,jj) * fse3t(ji,jj,jk) / e2t(ji,jj) #endif zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) zcof2 = - aht0 * e1t(ji,jj) * zmskt & * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) zjvt(ji,jj) = tmask(ji,jj,jk) * & ( zabe2 * ( vb(ji,jj,jk) - vb(ji,jj-1,jk) ) & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) END DO END DO ! Second derivative (divergence) and add to the general trend ! ----------------------------------------------------------- DO jj = 2, jpjm1 DO ji = 2, jpim1 !! Question vectop possible??? !!bug ! volume elements zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ! horizontal component of isopycnal momentum diffusive trends zuah =( ziut (ji+1,jj) - ziut (ji,jj ) + & zjuf (ji ,jj) - zjuf (ji,jj-1) ) / zbu zvah =( zivf (ji,jj ) - zivf (ji-1,jj) + & zjvt (ji,jj+1) - zjvt (ji,jj ) ) / zbv ! add the trends to the general trends ua (ji,jj,jk) = ua (ji,jj,jk) + zuah va (ji,jj,jk) = va (ji,jj,jk) + zvah END DO END DO ! ! =============== END DO ! End of slab ! ! =============== ! save the lateral diffusion trends for diagnostic ! momentum trends will be saved in dynzdf_iso.F90 IF( l_trddyn ) THEN uldftrd(:,:,:) = ua(:,:,:) - ztdua(:,:,:) vldftrd(:,:,:) = va(:,:,:) - ztdva(:,:,:) ENDIF IF(ln_ctl) THEN ! print sum trends (used for debugging) CALL prt_ctl(tab3d_1=ua, clinfo1=' ldf - Ua: ', mask1=umask, & & tab3d_2=va, clinfo2=' Va: ', mask2=vmask, clinfo3='dyn') ENDIF END SUBROUTINE dyn_ldf_iso # else !!---------------------------------------------------------------------- !! Dummy module NO rotation of mixing tensor !!---------------------------------------------------------------------- CONTAINS SUBROUTINE dyn_ldf_iso( kt ) ! Empty routine WRITE(*,*) 'dyn_ldf_iso: You should not have seen this print! error?', kt END SUBROUTINE dyn_ldf_iso #endif !!====================================================================== END MODULE dynldf_iso