[3] | 1 | MODULE dynnxt |
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[1502] | 2 | !!========================================================================= |
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[3] | 3 | !! *** MODULE dynnxt *** |
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| 4 | !! Ocean dynamics: time stepping |
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[1502] | 5 | !!========================================================================= |
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[1438] | 6 | !! History : OPA ! 1987-02 (P. Andrich, D. L Hostis) Original code |
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| 7 | !! ! 1990-10 (C. Levy, G. Madec) |
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| 8 | !! 7.0 ! 1993-03 (M. Guyon) symetrical conditions |
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| 9 | !! 8.0 ! 1997-02 (G. Madec & M. Imbard) opa, release 8.0 |
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| 10 | !! 8.2 ! 1997-04 (A. Weaver) Euler forward step |
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| 11 | !! - ! 1997-06 (G. Madec) lateral boudary cond., lbc routine |
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| 12 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 13 | !! - ! 2002-10 (C. Talandier, A-M. Treguier) Open boundary cond. |
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| 14 | !! 2.0 ! 2005-11 (V. Garnier) Surface pressure gradient organization |
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| 15 | !! 2.3 ! 2007-07 (D. Storkey) Calls to BDY routines. |
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[1502] | 16 | !! 3.2 ! 2009-06 (G. Madec, R.Benshila) re-introduce the vvl option |
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[2528] | 17 | !! 3.3 ! 2010-09 (D. Storkey, E.O'Dea) Bug fix for BDY module |
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[2723] | 18 | !! 3.3 ! 2011-03 (P. Oddo) Bug fix for time-splitting+(BDY-OBC) and not VVL |
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[1502] | 19 | !!------------------------------------------------------------------------- |
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[1438] | 20 | |
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[1502] | 21 | !!------------------------------------------------------------------------- |
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| 22 | !! dyn_nxt : obtain the next (after) horizontal velocity |
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| 23 | !!------------------------------------------------------------------------- |
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[3] | 24 | USE oce ! ocean dynamics and tracers |
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| 25 | USE dom_oce ! ocean space and time domain |
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[2528] | 26 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 27 | USE phycst ! physical constants |
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[1502] | 28 | USE dynspg_oce ! type of surface pressure gradient |
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| 29 | USE dynadv ! dynamics: vector invariant versus flux form |
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| 30 | USE domvvl ! variable volume |
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[367] | 31 | USE obc_oce ! ocean open boundary conditions |
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[3] | 32 | USE obcdyn ! open boundary condition for momentum (obc_dyn routine) |
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[367] | 33 | USE obcdyn_bt ! 2D open boundary condition for momentum (obc_dyn_bt routine) |
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| 34 | USE obcvol ! ocean open boundary condition (obc_vol routines) |
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[911] | 35 | USE bdy_oce ! unstructured open boundary conditions |
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| 36 | USE bdydta ! unstructured open boundary conditions |
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| 37 | USE bdydyn ! unstructured open boundary conditions |
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[1502] | 38 | USE in_out_manager ! I/O manager |
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[3] | 39 | USE lbclnk ! lateral boundary condition (or mpp link) |
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[2715] | 40 | USE lib_mpp ! MPP library |
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[258] | 41 | USE prtctl ! Print control |
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[2528] | 42 | #if defined key_agrif |
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| 43 | USE agrif_opa_interp |
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| 44 | #endif |
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[3] | 45 | |
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| 46 | IMPLICIT NONE |
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| 47 | PRIVATE |
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| 48 | |
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[1438] | 49 | PUBLIC dyn_nxt ! routine called by step.F90 |
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| 50 | |
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[592] | 51 | !! * Substitutions |
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| 52 | # include "domzgr_substitute.h90" |
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[2715] | 53 | !!---------------------------------------------------------------------- |
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[2528] | 54 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1438] | 55 | !! $Id$ |
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[2715] | 56 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 57 | !!---------------------------------------------------------------------- |
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[3] | 58 | CONTAINS |
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| 59 | |
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| 60 | SUBROUTINE dyn_nxt ( kt ) |
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| 61 | !!---------------------------------------------------------------------- |
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| 62 | !! *** ROUTINE dyn_nxt *** |
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| 63 | !! |
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[1502] | 64 | !! ** Purpose : Compute the after horizontal velocity. Apply the boundary |
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| 65 | !! condition on the after velocity, achieved the time stepping |
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| 66 | !! by applying the Asselin filter on now fields and swapping |
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| 67 | !! the fields. |
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[3] | 68 | !! |
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[1502] | 69 | !! ** Method : * After velocity is compute using a leap-frog scheme: |
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| 70 | !! (ua,va) = (ub,vb) + 2 rdt (ua,va) |
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| 71 | !! Note that with flux form advection and variable volume layer |
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| 72 | !! (lk_vvl=T), the leap-frog is applied on thickness weighted |
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| 73 | !! velocity. |
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| 74 | !! Note also that in filtered free surface (lk_dynspg_flt=T), |
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| 75 | !! the time stepping has already been done in dynspg module |
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[3] | 76 | !! |
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[1502] | 77 | !! * Apply lateral boundary conditions on after velocity |
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| 78 | !! at the local domain boundaries through lbc_lnk call, |
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| 79 | !! at the radiative open boundaries (lk_obc=T), |
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| 80 | !! at the relaxed open boundaries (lk_bdy=T), and |
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| 81 | !! at the AGRIF zoom boundaries (lk_agrif=T) |
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[3] | 82 | !! |
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[1502] | 83 | !! * Apply the time filter applied and swap of the dynamics |
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| 84 | !! arrays to start the next time step: |
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| 85 | !! (ub,vb) = (un,vn) + atfp [ (ub,vb) + (ua,va) - 2 (un,vn) ] |
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| 86 | !! (un,vn) = (ua,va). |
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| 87 | !! Note that with flux form advection and variable volume layer |
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| 88 | !! (lk_vvl=T), the time filter is applied on thickness weighted |
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| 89 | !! velocity. |
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| 90 | !! |
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| 91 | !! ** Action : ub,vb filtered before horizontal velocity of next time-step |
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| 92 | !! un,vn now horizontal velocity of next time-step |
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[3] | 93 | !!---------------------------------------------------------------------- |
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[2715] | 94 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 95 | USE oce , ONLY: ze3u_f => ta , ze3v_f => sa ! (ta,sa) used as 3D workspace |
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| 96 | USE wrk_nemo, ONLY: zs_t => wrk_2d_1 , zs_u_1 => wrk_2d_2 , zs_v_1 => wrk_2d_3 |
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| 97 | ! |
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[3] | 98 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[2715] | 99 | ! |
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[3] | 100 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[1566] | 101 | #if ! defined key_dynspg_flt |
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[3] | 102 | REAL(wp) :: z2dt ! temporary scalar |
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[1566] | 103 | #endif |
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[2715] | 104 | REAL(wp) :: zue3a, zue3n, zue3b, zuf ! local scalars |
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| 105 | REAL(wp) :: zve3a, zve3n, zve3b, zvf ! - - |
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| 106 | REAL(wp) :: zec, zv_t_ij, zv_t_ip1j, zv_t_ijp1 |
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[1502] | 107 | !!---------------------------------------------------------------------- |
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[3] | 108 | |
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[2715] | 109 | IF( wrk_in_use(2, 1,2,3) ) THEN |
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| 110 | CALL ctl_stop('dyn_nxt: requested workspace arrays unavailable') ; RETURN |
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| 111 | ENDIF |
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| 112 | |
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[3] | 113 | IF( kt == nit000 ) THEN |
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| 114 | IF(lwp) WRITE(numout,*) |
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| 115 | IF(lwp) WRITE(numout,*) 'dyn_nxt : time stepping' |
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| 116 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 117 | ENDIF |
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| 118 | |
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[1502] | 119 | #if defined key_dynspg_flt |
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| 120 | ! |
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| 121 | ! Next velocity : Leap-frog time stepping already done in dynspg_flt.F routine |
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| 122 | ! ------------- |
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[3] | 123 | |
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[1502] | 124 | ! Update after velocity on domain lateral boundaries (only local domain required) |
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| 125 | ! -------------------------------------------------- |
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| 126 | CALL lbc_lnk( ua, 'U', -1. ) ! local domain boundaries |
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| 127 | CALL lbc_lnk( va, 'V', -1. ) |
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| 128 | ! |
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| 129 | #else |
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| 130 | ! Next velocity : Leap-frog time stepping |
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[1438] | 131 | ! ------------- |
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[1502] | 132 | z2dt = 2. * rdt ! Euler or leap-frog time step |
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| 133 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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| 134 | ! |
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| 135 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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[1438] | 136 | DO jk = 1, jpkm1 |
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[1502] | 137 | ua(:,:,jk) = ( ub(:,:,jk) + z2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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| 138 | va(:,:,jk) = ( vb(:,:,jk) + z2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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| 139 | END DO |
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| 140 | ELSE ! applied on thickness weighted velocity |
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| 141 | DO jk = 1, jpkm1 |
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| 142 | ua(:,:,jk) = ( ub(:,:,jk) * fse3u_b(:,:,jk) & |
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| 143 | & + z2dt * ua(:,:,jk) * fse3u_n(:,:,jk) ) & |
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[1438] | 144 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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[1502] | 145 | va(:,:,jk) = ( vb(:,:,jk) * fse3v_b(:,:,jk) & |
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| 146 | & + z2dt * va(:,:,jk) * fse3v_n(:,:,jk) ) & |
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[1438] | 147 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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[592] | 148 | END DO |
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| 149 | ENDIF |
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| 150 | |
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[1502] | 151 | |
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| 152 | ! Update after velocity on domain lateral boundaries |
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| 153 | ! -------------------------------------------------- |
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| 154 | CALL lbc_lnk( ua, 'U', -1. ) !* local domain boundaries |
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| 155 | CALL lbc_lnk( va, 'V', -1. ) |
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| 156 | ! |
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[3] | 157 | # if defined key_obc |
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[1502] | 158 | ! !* OBC open boundaries |
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[2528] | 159 | CALL obc_dyn( kt ) |
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[1502] | 160 | ! |
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[2715] | 161 | IF( .NOT. lk_dynspg_flt ) THEN |
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[1502] | 162 | ! Flather boundary condition : - Update sea surface height on each open boundary |
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[2715] | 163 | ! sshn (= after ssh ) for explicit case (lk_dynspg_exp=T) |
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| 164 | ! sshn_b (= after ssha_b) for time-splitting case (lk_dynspg_ts=T) |
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[1502] | 165 | ! - Correct the barotropic velocities |
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[367] | 166 | CALL obc_dyn_bt( kt ) |
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[1438] | 167 | ! |
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[1502] | 168 | !!gm ERROR - potential BUG: sshn should not be modified at this stage !! ssh_nxt not alrady called |
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| 169 | CALL lbc_lnk( sshn, 'T', 1. ) ! Boundary conditions on sshn |
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[1438] | 170 | ! |
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| 171 | IF( ln_vol_cst ) CALL obc_vol( kt ) |
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| 172 | ! |
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| 173 | IF(ln_ctl) CALL prt_ctl( tab2d_1=sshn, clinfo1=' ssh : ', mask1=tmask ) |
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[367] | 174 | ENDIF |
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[1502] | 175 | ! |
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[1125] | 176 | # elif defined key_bdy |
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[1502] | 177 | ! !* BDY open boundaries |
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[2723] | 178 | IF( .NOT. lk_dynspg_flt ) THEN |
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| 179 | CALL bdy_dyn_frs( kt ) |
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| 180 | # if ! defined key_vvl |
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| 181 | ua_e(:,:) = 0.e0 |
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| 182 | va_e(:,:) = 0.e0 |
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| 183 | ! Set these variables for use in bdy_dyn_fla |
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| 184 | hur_e(:,:) = hur(:,:) |
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| 185 | hvr_e(:,:) = hvr(:,:) |
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| 186 | DO jk = 1, jpkm1 !! Vertically integrated momentum trends |
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| 187 | ua_e(:,:) = ua_e(:,:) + fse3u(:,:,jk) * umask(:,:,jk) * ua(:,:,jk) |
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| 188 | va_e(:,:) = va_e(:,:) + fse3v(:,:,jk) * vmask(:,:,jk) * va(:,:,jk) |
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| 189 | END DO |
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| 190 | ua_e(:,:) = ua_e(:,:) * hur(:,:) |
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| 191 | va_e(:,:) = va_e(:,:) * hvr(:,:) |
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| 192 | DO jk = 1 , jpkm1 |
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| 193 | ua(:,:,jk) = ua(:,:,jk) - ua_e(:,:) |
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| 194 | va(:,:,jk) = va(:,:,jk) - va_e(:,:) |
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| 195 | END DO |
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| 196 | CALL bdy_dta_fla( kt+1, 0,2*nn_baro) |
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| 197 | CALL bdy_dyn_fla( sshn_b ) |
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| 198 | CALL lbc_lnk( ua_e, 'U', -1. ) ! Boundary points should be updated |
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| 199 | CALL lbc_lnk( va_e, 'V', -1. ) ! |
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| 200 | DO jk = 1 , jpkm1 |
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| 201 | ua(:,:,jk) = ( ua(:,:,jk) + ua_e(:,:) ) * umask(:,:,jk) |
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| 202 | va(:,:,jk) = ( va(:,:,jk) + va_e(:,:) ) * vmask(:,:,jk) |
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| 203 | END DO |
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| 204 | # endif |
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| 205 | ENDIF |
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[1438] | 206 | # endif |
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[1502] | 207 | ! |
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[392] | 208 | # if defined key_agrif |
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[1502] | 209 | CALL Agrif_dyn( kt ) !* AGRIF zoom boundaries |
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[389] | 210 | # endif |
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[3] | 211 | #endif |
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[592] | 212 | |
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[1438] | 213 | ! Time filter and swap of dynamics arrays |
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| 214 | ! ------------------------------------------ |
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[1502] | 215 | IF( neuler == 0 .AND. kt == nit000 ) THEN !* Euler at first time-step: only swap |
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| 216 | DO jk = 1, jpkm1 |
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| 217 | un(:,:,jk) = ua(:,:,jk) ! un <-- ua |
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[1438] | 218 | vn(:,:,jk) = va(:,:,jk) |
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| 219 | END DO |
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[1502] | 220 | ELSE !* Leap-Frog : Asselin filter and swap |
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[2528] | 221 | ! ! =============! |
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| 222 | IF( .NOT. lk_vvl ) THEN ! Fixed volume ! |
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| 223 | ! ! =============! |
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[1502] | 224 | DO jk = 1, jpkm1 |
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[592] | 225 | DO jj = 1, jpj |
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[1502] | 226 | DO ji = 1, jpi |
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[2528] | 227 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0 * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 228 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0 * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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[1502] | 229 | ! |
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| 230 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 231 | vb(ji,jj,jk) = zvf |
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| 232 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 233 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 234 | END DO |
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| 235 | END DO |
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| 236 | END DO |
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[2528] | 237 | ! ! ================! |
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| 238 | ELSE ! Variable volume ! |
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| 239 | ! ! ================! |
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| 240 | ! Before scale factor at t-points |
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| 241 | ! ------------------------------- |
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[1502] | 242 | DO jk = 1, jpkm1 |
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[2528] | 243 | fse3t_b(:,:,jk) = fse3t_n(:,:,jk) & |
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| 244 | & + atfp * ( fse3t_b(:,:,jk) + fse3t_a(:,:,jk) & |
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| 245 | & - 2.e0 * fse3t_n(:,:,jk) ) |
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| 246 | ENDDO |
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| 247 | ! Add volume filter correction only at the first level of t-point scale factors |
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| 248 | zec = atfp * rdt / rau0 |
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| 249 | fse3t_b(:,:,1) = fse3t_b(:,:,1) - zec * ( emp_b(:,:) - emp(:,:) ) * tmask(:,:,1) |
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| 250 | ! surface at t-points and inverse surface at (u/v)-points used in surface averaging computations |
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| 251 | zs_t (:,:) = e1t(:,:) * e2t(:,:) |
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[2779] | 252 | zs_u_1(:,:) = 0.5 / ( e1u(:,:) * e2u(:,:) ) |
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| 253 | zs_v_1(:,:) = 0.5 / ( e1v(:,:) * e2v(:,:) ) |
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[2528] | 254 | ! |
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| 255 | IF( ln_dynadv_vec ) THEN |
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| 256 | ! Before scale factor at (u/v)-points |
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| 257 | ! ----------------------------------- |
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| 258 | ! Scale factor anomaly at (u/v)-points: surface averaging of scale factor at t-points |
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| 259 | DO jk = 1, jpkm1 |
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| 260 | DO jj = 1, jpjm1 |
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| 261 | DO ji = 1, jpim1 |
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| 262 | zv_t_ij = zs_t(ji ,jj ) * fse3t_b(ji ,jj ,jk) |
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| 263 | zv_t_ip1j = zs_t(ji+1,jj ) * fse3t_b(ji+1,jj ,jk) |
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| 264 | zv_t_ijp1 = zs_t(ji ,jj+1) * fse3t_b(ji ,jj+1,jk) |
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| 265 | fse3u_b(ji,jj,jk) = umask(ji,jj,jk) * ( zs_u_1(ji,jj) * ( zv_t_ij + zv_t_ip1j ) - fse3u_0(ji,jj,jk) ) |
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| 266 | fse3v_b(ji,jj,jk) = vmask(ji,jj,jk) * ( zs_v_1(ji,jj) * ( zv_t_ij + zv_t_ijp1 ) - fse3v_0(ji,jj,jk) ) |
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| 267 | END DO |
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[592] | 268 | END DO |
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| 269 | END DO |
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[2528] | 270 | ! lateral boundary conditions |
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| 271 | CALL lbc_lnk( fse3u_b(:,:,:), 'U', 1. ) |
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| 272 | CALL lbc_lnk( fse3v_b(:,:,:), 'V', 1. ) |
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| 273 | ! Add initial scale factor to scale factor anomaly |
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| 274 | fse3u_b(:,:,:) = fse3u_b(:,:,:) + fse3u_0(:,:,:) |
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| 275 | fse3v_b(:,:,:) = fse3v_b(:,:,:) + fse3v_0(:,:,:) |
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| 276 | ! Leap-Frog - Asselin filter and swap: applied on velocity |
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| 277 | ! ----------------------------------- |
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| 278 | DO jk = 1, jpkm1 |
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| 279 | DO jj = 1, jpj |
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| 280 | DO ji = 1, jpi |
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| 281 | zuf = un(ji,jj,jk) + atfp * ( ub(ji,jj,jk) - 2.e0 * un(ji,jj,jk) + ua(ji,jj,jk) ) |
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| 282 | zvf = vn(ji,jj,jk) + atfp * ( vb(ji,jj,jk) - 2.e0 * vn(ji,jj,jk) + va(ji,jj,jk) ) |
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| 283 | ! |
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| 284 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 285 | vb(ji,jj,jk) = zvf |
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| 286 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 287 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 288 | END DO |
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| 289 | END DO |
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| 290 | END DO |
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| 291 | ! |
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| 292 | ELSE |
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| 293 | ! Temporary filered scale factor at (u/v)-points (will become before scale factor) |
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| 294 | !----------------------------------------------- |
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| 295 | ! Scale factor anomaly at (u/v)-points: surface averaging of scale factor at t-points |
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| 296 | DO jk = 1, jpkm1 |
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| 297 | DO jj = 1, jpjm1 |
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| 298 | DO ji = 1, jpim1 |
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| 299 | zv_t_ij = zs_t(ji ,jj ) * fse3t_b(ji ,jj ,jk) |
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| 300 | zv_t_ip1j = zs_t(ji+1,jj ) * fse3t_b(ji+1,jj ,jk) |
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| 301 | zv_t_ijp1 = zs_t(ji ,jj+1) * fse3t_b(ji ,jj+1,jk) |
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| 302 | ze3u_f(ji,jj,jk) = umask(ji,jj,jk) * ( zs_u_1(ji,jj) * ( zv_t_ij + zv_t_ip1j ) - fse3u_0(ji,jj,jk) ) |
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| 303 | ze3v_f(ji,jj,jk) = vmask(ji,jj,jk) * ( zs_v_1(ji,jj) * ( zv_t_ij + zv_t_ijp1 ) - fse3v_0(ji,jj,jk) ) |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | ! lateral boundary conditions |
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| 308 | CALL lbc_lnk( ze3u_f, 'U', 1. ) |
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| 309 | CALL lbc_lnk( ze3v_f, 'V', 1. ) |
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| 310 | ! Add initial scale factor to scale factor anomaly |
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| 311 | ze3u_f(:,:,:) = ze3u_f(:,:,:) + fse3u_0(:,:,:) |
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| 312 | ze3v_f(:,:,:) = ze3v_f(:,:,:) + fse3v_0(:,:,:) |
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| 313 | ! Leap-Frog - Asselin filter and swap: applied on thickness weighted velocity |
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| 314 | ! ----------------------------------- =========================== |
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| 315 | DO jk = 1, jpkm1 |
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| 316 | DO jj = 1, jpj |
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| 317 | DO ji = 1, jpim1 |
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| 318 | zue3a = ua(ji,jj,jk) * fse3u_a(ji,jj,jk) |
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| 319 | zve3a = va(ji,jj,jk) * fse3v_a(ji,jj,jk) |
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| 320 | zue3n = un(ji,jj,jk) * fse3u_n(ji,jj,jk) |
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| 321 | zve3n = vn(ji,jj,jk) * fse3v_n(ji,jj,jk) |
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| 322 | zue3b = ub(ji,jj,jk) * fse3u_b(ji,jj,jk) |
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| 323 | zve3b = vb(ji,jj,jk) * fse3v_b(ji,jj,jk) |
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| 324 | ! |
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| 325 | zuf = ( zue3n + atfp * ( zue3b - 2.e0 * zue3n + zue3a ) ) / ze3u_f(ji,jj,jk) |
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| 326 | zvf = ( zve3n + atfp * ( zve3b - 2.e0 * zve3n + zve3a ) ) / ze3v_f(ji,jj,jk) |
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| 327 | ! |
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| 328 | ub(ji,jj,jk) = zuf ! ub <-- filtered velocity |
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| 329 | vb(ji,jj,jk) = zvf |
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| 330 | un(ji,jj,jk) = ua(ji,jj,jk) ! un <-- ua |
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| 331 | vn(ji,jj,jk) = va(ji,jj,jk) |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | fse3u_b(:,:,:) = ze3u_f(:,:,:) ! e3u_b <-- filtered scale factor |
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| 336 | fse3v_b(:,:,:) = ze3v_f(:,:,:) |
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| 337 | CALL lbc_lnk( ub, 'U', -1. ) ! lateral boundary conditions |
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| 338 | CALL lbc_lnk( vb, 'V', -1. ) |
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| 339 | ENDIF |
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| 340 | ! |
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[3] | 341 | ENDIF |
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[2528] | 342 | ! |
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[258] | 343 | ENDIF |
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[3] | 344 | |
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[1438] | 345 | IF(ln_ctl) CALL prt_ctl( tab3d_1=un, clinfo1=' nxt - Un: ', mask1=umask, & |
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| 346 | & tab3d_2=vn, clinfo2=' Vn: ' , mask2=vmask ) |
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| 347 | ! |
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[2715] | 348 | IF( wrk_not_released(2, 1,2,3) ) CALL ctl_stop('dyn_nxt: failed to release workspace arrays') |
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| 349 | ! |
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[3] | 350 | END SUBROUTINE dyn_nxt |
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| 351 | |
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[1502] | 352 | !!========================================================================= |
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[3] | 353 | END MODULE dynnxt |
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