[643] | 1 | MODULE dynadv_ubs |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynadv_ubs *** |
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| 4 | !! Ocean dynamics: Update the momentum trend with the flux form advection |
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| 5 | !! trend using a 3rd order upstream biased scheme |
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| 6 | !!====================================================================== |
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[1566] | 7 | !! History : 2.0 ! 2006-08 (R. Benshila, L. Debreu) Original code |
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| 8 | !! 3.2 ! 2009-07 (R. Benshila) Suppression of rigid-lid option |
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[643] | 9 | !!---------------------------------------------------------------------- |
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| 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! dyn_adv_ubs : flux form momentum advection using (ln_dynadv=T) |
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| 13 | !! an 3rd order Upstream Biased Scheme or Quick scheme |
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| 14 | !! combined with 2nd or 4th order finite differences |
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| 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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[1129] | 18 | USE trdmod ! ocean dynamics trends |
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| 19 | USE trdmod_oce ! ocean variables trends |
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[2715] | 20 | USE in_out_manager ! I/O manager |
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[1129] | 21 | USE prtctl ! Print control |
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[2715] | 22 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 23 | USE lib_mpp ! MPP library |
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[643] | 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | REAL(wp), PARAMETER :: gamma1 = 1._wp/4._wp ! =1/4 quick ; =1/3 3rd order UBS |
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| 29 | REAL(wp), PARAMETER :: gamma2 = 1._wp/8._wp ! =0 2nd order ; =1/8 4th order centred |
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| 30 | |
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[1566] | 31 | PUBLIC dyn_adv_ubs ! routine called by step.F90 |
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[643] | 32 | |
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| 33 | !! * Substitutions |
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| 34 | # include "domzgr_substitute.h90" |
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| 35 | # include "vectopt_loop_substitute.h90" |
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| 36 | !!---------------------------------------------------------------------- |
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[2715] | 37 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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[1152] | 38 | !! $Id$ |
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[2715] | 39 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[643] | 40 | !!---------------------------------------------------------------------- |
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| 41 | CONTAINS |
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| 42 | |
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| 43 | SUBROUTINE dyn_adv_ubs( kt ) |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | !! *** ROUTINE dyn_adv_ubs *** |
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| 46 | !! |
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| 47 | !! ** Purpose : Compute the now momentum advection trend in flux form |
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[1566] | 48 | !! and the general trend of the momentum equation. |
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[643] | 49 | !! |
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| 50 | !! ** Method : The scheme is the one implemeted in ROMS. It depends |
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| 51 | !! on two parameter gamma1 and gamma2. The former control the |
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| 52 | !! upstream baised part of the scheme and the later the centred |
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| 53 | !! part: gamma1 = 0 pure centered (no diffusive part) |
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| 54 | !! = 1/4 Quick scheme |
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| 55 | !! = 1/3 3rd order Upstream biased scheme |
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| 56 | !! gamma2 = 0 2nd order finite differencing |
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| 57 | !! = 1/8 4th order finite differencing |
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| 58 | !! For stability reasons, the first term of the fluxes which cor- |
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| 59 | !! responds to a second order centered scheme is evaluated using |
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| 60 | !! the now velocity (centered in time) while the second term which |
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| 61 | !! is the diffusive part of the scheme, is evaluated using the |
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| 62 | !! before velocity (forward in time). |
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| 63 | !! Default value (hard coded in the begining of the module) are |
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| 64 | !! gamma1=1/4 and gamma2=1/8. |
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| 65 | !! |
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[1566] | 66 | !! ** Action : - (ua,va) updated with the 3D advective momentum trends |
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[643] | 67 | !! |
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| 68 | !! Reference : Shchepetkin & McWilliams, 2005, Ocean Modelling. |
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| 69 | !!---------------------------------------------------------------------- |
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[2715] | 70 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 71 | USE oce , ONLY: zfu => ta , zfv => sa ! (ta,sa) used as 3D workspace |
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| 72 | USE wrk_nemo, ONLY: zfu_t => wrk_3d_1 , zfv_t =>wrk_3d_4 , zfu_uw =>wrk_3d_6 ! 3D workspace |
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| 73 | USE wrk_nemo, ONLY: zfu_f => wrk_3d_2 , zfv_f =>wrk_3d_5 , zfv_vw =>wrk_3d_7 |
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| 74 | USE wrk_nemo, ONLY: zfw => wrk_3d_3 |
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| 75 | USE wrk_nemo, ONLY: zlu_uu => wrk_4d_1 , zlv_vv=>wrk_4d_3 ! 4D workspace |
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| 76 | USE wrk_nemo, ONLY: zlu_uv => wrk_4d_2 , zlv_vu=>wrk_4d_4 |
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| 77 | ! |
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[643] | 78 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[2715] | 79 | ! |
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[1566] | 80 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 81 | REAL(wp) :: zbu, zbv ! temporary scalars |
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| 82 | REAL(wp) :: zui, zvj, zfuj, zfvi, zl_u, zl_v ! temporary scalars |
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[643] | 83 | !!---------------------------------------------------------------------- |
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| 84 | |
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| 85 | IF( kt == nit000 ) THEN |
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| 86 | IF(lwp) WRITE(numout,*) |
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| 87 | IF(lwp) WRITE(numout,*) 'dyn_adv_ubs : UBS flux form momentum advection' |
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| 88 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 89 | ENDIF |
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[2715] | 90 | |
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| 91 | ! Check that required workspace arrays are not already in use |
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| 92 | IF( wrk_in_use(3, 1,2,3,4,5,6,7) .OR. wrk_in_use(4, 1,2,3,4) ) THEN |
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| 93 | CALL ctl_stop('dyn_adv_ubs: requested workspace array unavailable') ; RETURN |
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| 94 | ENDIF |
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| 95 | |
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| 96 | zfu_t(:,:,:) = 0._wp |
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| 97 | zfv_t(:,:,:) = 0._wp |
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| 98 | zfu_f(:,:,:) = 0._wp |
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| 99 | zfv_f(:,:,:) = 0._wp |
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[1566] | 100 | ! |
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[2715] | 101 | zlu_uu(:,:,:,:) = 0._wp |
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| 102 | zlv_vv(:,:,:,:) = 0._wp |
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| 103 | zlu_uv(:,:,:,:) = 0._wp |
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| 104 | zlv_vu(:,:,:,:) = 0._wp |
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[643] | 105 | |
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[1129] | 106 | IF( l_trddyn ) THEN ! Save ua and va trends |
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| 107 | zfu_uw(:,:,:) = ua(:,:,:) |
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| 108 | zfv_vw(:,:,:) = va(:,:,:) |
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| 109 | ENDIF |
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| 110 | |
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[1566] | 111 | ! ! =========================== ! |
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| 112 | DO jk = 1, jpkm1 ! Laplacian of the velocity ! |
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| 113 | ! ! =========================== ! |
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| 114 | ! ! horizontal volume fluxes |
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[643] | 115 | zfu(:,:,jk) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 116 | zfv(:,:,jk) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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[1566] | 117 | ! |
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| 118 | DO jj = 2, jpjm1 ! laplacian |
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[643] | 119 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 120 | zlu_uu(ji,jj,jk,1) = ( ub (ji+1,jj,jk)-2.*ub (ji,jj,jk)+ub (ji-1,jj,jk) ) * umask(ji,jj,jk) |
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| 121 | zlv_vv(ji,jj,jk,1) = ( vb (ji,jj+1,jk)-2.*vb (ji,jj,jk)+vb (ji,jj-1,jk) ) * vmask(ji,jj,jk) |
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| 122 | zlu_uv(ji,jj,jk,1) = ( ub (ji,jj+1,jk)-2.*ub (ji,jj,jk)+ub (ji,jj-1,jk) ) * umask(ji,jj,jk) |
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| 123 | zlv_vu(ji,jj,jk,1) = ( vb (ji+1,jj,jk)-2.*vb (ji,jj,jk)+vb (ji-1,jj,jk) ) * vmask(ji,jj,jk) |
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[2715] | 124 | ! |
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[643] | 125 | zlu_uu(ji,jj,jk,2) = ( zfu(ji+1,jj,jk)-2.*zfu(ji,jj,jk)+zfu(ji-1,jj,jk) ) * umask(ji,jj,jk) |
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| 126 | zlv_vv(ji,jj,jk,2) = ( zfv(ji,jj+1,jk)-2.*zfv(ji,jj,jk)+zfv(ji,jj-1,jk) ) * vmask(ji,jj,jk) |
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| 127 | zlu_uv(ji,jj,jk,2) = ( zfu(ji,jj+1,jk)-2.*zfu(ji,jj,jk)+zfu(ji,jj-1,jk) ) * umask(ji,jj,jk) |
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| 128 | zlv_vu(ji,jj,jk,2) = ( zfv(ji+1,jj,jk)-2.*zfv(ji,jj,jk)+zfv(ji-1,jj,jk) ) * vmask(ji,jj,jk) |
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| 129 | END DO |
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| 130 | END DO |
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[1566] | 131 | END DO |
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| 132 | !!gm BUG !!! just below this should be +1 in all the communications |
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[2715] | 133 | ! CALL lbc_lnk( zlu_uu(:,:,:,1), 'U', -1.) ; CALL lbc_lnk( zlu_uv(:,:,:,1), 'U', -1.) |
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| 134 | ! CALL lbc_lnk( zlu_uu(:,:,:,2), 'U', -1.) ; CALL lbc_lnk( zlu_uv(:,:,:,2), 'U', -1.) |
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| 135 | ! CALL lbc_lnk( zlv_vv(:,:,:,1), 'V', -1.) ; CALL lbc_lnk( zlv_vu(:,:,:,1), 'V', -1.) |
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| 136 | ! CALL lbc_lnk( zlv_vv(:,:,:,2), 'V', -1.) ; CALL lbc_lnk( zlv_vu(:,:,:,2), 'V', -1.) |
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| 137 | ! |
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[1566] | 138 | !!gm corrected: |
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| 139 | CALL lbc_lnk( zlu_uu(:,:,:,1), 'U', 1. ) ; CALL lbc_lnk( zlu_uv(:,:,:,1), 'U', 1. ) |
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| 140 | CALL lbc_lnk( zlu_uu(:,:,:,2), 'U', 1. ) ; CALL lbc_lnk( zlu_uv(:,:,:,2), 'U', 1. ) |
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| 141 | CALL lbc_lnk( zlv_vv(:,:,:,1), 'V', 1. ) ; CALL lbc_lnk( zlv_vu(:,:,:,1), 'V', 1. ) |
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| 142 | CALL lbc_lnk( zlv_vv(:,:,:,2), 'V', 1. ) ; CALL lbc_lnk( zlv_vu(:,:,:,2), 'V', 1. ) |
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| 143 | !!gm end |
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| 144 | |
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| 145 | ! ! ====================== ! |
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| 146 | ! ! Horizontal advection ! |
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| 147 | DO jk = 1, jpkm1 ! ====================== ! |
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| 148 | ! ! horizontal volume fluxes |
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[643] | 149 | zfu(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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| 150 | zfv(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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[1566] | 151 | ! |
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| 152 | DO jj = 1, jpjm1 ! horizontal momentum fluxes at T- and F-point |
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[643] | 153 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 154 | zui = ( un(ji,jj,jk) + un(ji+1,jj ,jk) ) |
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| 155 | zvj = ( vn(ji,jj,jk) + vn(ji ,jj+1,jk) ) |
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[1566] | 156 | ! |
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[643] | 157 | IF (zui > 0) THEN ; zl_u = zlu_uu(ji ,jj,jk,1) |
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| 158 | ELSE ; zl_u = zlu_uu(ji+1,jj,jk,1) |
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| 159 | ENDIF |
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| 160 | IF (zvj > 0) THEN ; zl_v = zlv_vv(ji,jj ,jk,1) |
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| 161 | ELSE ; zl_v = zlv_vv(ji,jj+1,jk,1) |
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| 162 | ENDIF |
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[1566] | 163 | ! |
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[643] | 164 | zfu_t(ji+1,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji+1,jj ,jk) & |
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| 165 | & - gamma2 * ( zlu_uu(ji,jj,jk,2) + zlu_uu(ji+1,jj ,jk,2) ) ) & |
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| 166 | & * ( zui - gamma1 * zl_u) |
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| 167 | zfv_t(ji ,jj+1,jk) = ( zfv(ji,jj,jk) + zfv(ji ,jj+1,jk) & |
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| 168 | & - gamma2 * ( zlv_vv(ji,jj,jk,2) + zlv_vv(ji ,jj+1,jk,2) ) ) & |
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| 169 | & * ( zvj - gamma1 * zl_v) |
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[1566] | 170 | ! |
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[643] | 171 | zfuj = ( zfu(ji,jj,jk) + zfu(ji ,jj+1,jk) ) |
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| 172 | zfvi = ( zfv(ji,jj,jk) + zfv(ji+1,jj ,jk) ) |
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| 173 | IF (zfuj > 0) THEN ; zl_v = zlv_vu( ji ,jj ,jk,1) |
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| 174 | ELSE ; zl_v = zlv_vu( ji+1,jj,jk,1) |
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| 175 | ENDIF |
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| 176 | IF (zfvi > 0) THEN ; zl_u = zlu_uv( ji,jj ,jk,1) |
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| 177 | ELSE ; zl_u = zlu_uv( ji,jj+1,jk,1) |
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| 178 | ENDIF |
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[1566] | 179 | ! |
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[643] | 180 | zfv_f(ji ,jj ,jk) = ( zfvi - gamma2 * ( zlv_vu(ji,jj,jk,2) + zlv_vu(ji+1,jj ,jk,2) ) ) & |
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| 181 | & * ( un(ji,jj,jk) + un(ji ,jj+1,jk) - gamma1 * zl_u ) |
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| 182 | zfu_f(ji ,jj ,jk) = ( zfuj - gamma2 * ( zlu_uv(ji,jj,jk,2) + zlu_uv(ji ,jj+1,jk,2) ) ) & |
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| 183 | & * ( vn(ji,jj,jk) + vn(ji+1,jj ,jk) - gamma1 * zl_v ) |
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| 184 | END DO |
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| 185 | END DO |
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[1566] | 186 | DO jj = 2, jpjm1 ! divergence of horizontal momentum fluxes |
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[643] | 187 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 188 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 189 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
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[1566] | 190 | ! |
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| 191 | ua(ji,jj,jk) = ua(ji,jj,jk) - ( zfu_t(ji+1,jj ,jk) - zfu_t(ji ,jj ,jk) & |
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| 192 | & + zfv_f(ji ,jj ,jk) - zfv_f(ji ,jj-1,jk) ) / zbu |
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| 193 | va(ji,jj,jk) = va(ji,jj,jk) - ( zfu_f(ji ,jj ,jk) - zfu_f(ji-1,jj ,jk) & |
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| 194 | & + zfv_t(ji ,jj+1,jk) - zfv_t(ji ,jj ,jk) ) / zbv |
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[643] | 195 | END DO |
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| 196 | END DO |
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[1566] | 197 | END DO |
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| 198 | IF( l_trddyn ) THEN ! save the horizontal advection trend for diagnostic |
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[1129] | 199 | zfu_uw(:,:,:) = ua(:,:,:) - zfu_uw(:,:,:) |
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| 200 | zfv_vw(:,:,:) = va(:,:,:) - zfv_vw(:,:,:) |
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| 201 | CALL trd_mod( zfu_uw, zfv_vw, jpdyn_trd_had, 'DYN', kt ) |
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| 202 | zfu_t(:,:,:) = ua(:,:,:) |
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| 203 | zfv_t(:,:,:) = va(:,:,:) |
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| 204 | ENDIF |
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| 205 | |
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[1566] | 206 | ! ! ==================== ! |
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| 207 | ! ! Vertical advection ! |
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| 208 | DO jk = 1, jpkm1 ! ==================== ! |
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| 209 | ! ! Vertical volume fluxesÊ |
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[643] | 210 | zfw(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn(:,:,jk) |
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[1566] | 211 | ! |
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| 212 | IF( jk == 1 ) THEN ! surface/bottom advective fluxes |
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| 213 | zfu_uw(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
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[643] | 214 | zfv_vw(:,:,jpk) = 0.e0 |
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[1566] | 215 | ! ! Surface value : |
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| 216 | IF( lk_vvl ) THEN ! variable volume : flux set to zero |
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[643] | 217 | zfu_uw(:,:, 1 ) = 0.e0 |
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| 218 | zfv_vw(:,:, 1 ) = 0.e0 |
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[1566] | 219 | ELSE ! constant volume : advection through the surface |
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[643] | 220 | DO jj = 2, jpjm1 |
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| 221 | DO ji = fs_2, fs_jpim1 |
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| 222 | zfu_uw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji+1,jj ,1) ) * un(ji,jj,1) |
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| 223 | zfv_vw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji ,jj+1,1) ) * vn(ji,jj,1) |
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| 224 | END DO |
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| 225 | END DO |
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| 226 | ENDIF |
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[1566] | 227 | ELSE ! interior fluxes |
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[643] | 228 | DO jj = 2, jpjm1 |
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| 229 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 230 | zfu_uw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji,jj,jk-1) ) |
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| 231 | zfv_vw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji,jj,jk-1) ) |
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| 232 | END DO |
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| 233 | END DO |
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| 234 | ENDIF |
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| 235 | END DO |
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[1566] | 236 | DO jk = 1, jpkm1 ! divergence of vertical momentum flux divergence |
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[643] | 237 | DO jj = 2, jpjm1 |
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| 238 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1566] | 239 | ua(ji,jj,jk) = ua(ji,jj,jk) - ( zfu_uw(ji,jj,jk) - zfu_uw(ji,jj,jk+1) ) & |
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[643] | 240 | & / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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[1566] | 241 | va(ji,jj,jk) = va(ji,jj,jk) - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) & |
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[643] | 242 | & / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 243 | END DO |
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| 244 | END DO |
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| 245 | END DO |
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[1566] | 246 | ! |
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| 247 | IF( l_trddyn ) THEN ! save the vertical advection trend for diagnostic |
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[1129] | 248 | zfu_t(:,:,:) = ua(:,:,:) - zfu_t(:,:,:) |
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| 249 | zfv_t(:,:,:) = va(:,:,:) - zfv_t(:,:,:) |
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| 250 | CALL trd_mod( zfu_t, zfv_t, jpdyn_trd_zad, 'DYN', kt ) |
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| 251 | ENDIF |
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[1566] | 252 | ! ! Control print |
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[1129] | 253 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' ubs2 adv - Ua: ', mask1=umask, & |
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| 254 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
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[1566] | 255 | ! |
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[2715] | 256 | IF( wrk_not_released(3, 1,2,3,4,5,6,7) .OR. & |
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| 257 | wrk_not_released(4, 1,2,3,4) ) CALL ctl_stop('dyn_adv_ubs: failed to release workspace array') |
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| 258 | ! |
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[643] | 259 | END SUBROUTINE dyn_adv_ubs |
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| 260 | |
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| 261 | !!============================================================================== |
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| 262 | END MODULE dynadv_ubs |
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