[1565] | 1 | MODULE sshwzv |
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[3] | 2 | !!============================================================================== |
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[1438] | 3 | !! *** MODULE sshwzv *** |
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| 4 | !! Ocean dynamics : sea surface height and vertical velocity |
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[3] | 5 | !!============================================================================== |
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[1438] | 6 | !! History : 3.1 ! 2009-02 (G. Madec, M. Leclair) Original code |
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[2528] | 7 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) modified LF-RA |
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| 8 | !! - ! 2010-05 (K. Mogensen, A. Weaver, M. Martin, D. Lea) Assimilation interface |
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| 9 | !! - ! 2010-09 (D.Storkey and E.O'Dea) bug fixes for BDY module |
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[4292] | 10 | !! 3.3 ! 2011-10 (M. Leclair) split former ssh_wzv routine and remove all vvl related work |
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[3] | 11 | !!---------------------------------------------------------------------- |
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[1438] | 12 | |
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[3] | 13 | !!---------------------------------------------------------------------- |
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[4292] | 14 | !! ssh_nxt : after ssh |
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| 15 | !! ssh_swp : filter ans swap the ssh arrays |
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| 16 | !! wzv : compute now vertical velocity |
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[1438] | 17 | !!---------------------------------------------------------------------- |
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[3] | 18 | USE oce ! ocean dynamics and tracers variables |
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| 19 | USE dom_oce ! ocean space and time domain variables |
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[888] | 20 | USE sbc_oce ! surface boundary condition: ocean |
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| 21 | USE domvvl ! Variable volume |
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[1565] | 22 | USE divcur ! hor. divergence and curl (div & cur routines) |
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[4292] | 23 | USE restart ! only for lrst_oce |
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[3] | 24 | USE in_out_manager ! I/O manager |
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[258] | 25 | USE prtctl ! Print control |
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[592] | 26 | USE phycst |
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| 27 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[2715] | 28 | USE lib_mpp ! MPP library |
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[2528] | 29 | USE bdy_oce |
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[4292] | 30 | USE bdy_par |
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| 31 | USE bdydyn2d ! bdy_ssh routine |
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[2528] | 32 | #if defined key_agrif |
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[2486] | 33 | USE agrif_opa_interp |
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[2528] | 34 | #endif |
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| 35 | #if defined key_asminc |
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| 36 | USE asminc ! Assimilation increment |
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| 37 | #endif |
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[3294] | 38 | USE wrk_nemo ! Memory Allocation |
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| 39 | USE timing ! Timing |
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[592] | 40 | |
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[3] | 41 | IMPLICIT NONE |
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| 42 | PRIVATE |
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| 43 | |
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[1438] | 44 | PUBLIC ssh_nxt ! called by step.F90 |
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[4292] | 45 | PUBLIC wzv ! called by step.F90 |
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| 46 | PUBLIC ssh_swp ! called by step.F90 |
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[3] | 47 | |
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| 48 | !! * Substitutions |
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| 49 | # include "domzgr_substitute.h90" |
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[1438] | 50 | # include "vectopt_loop_substitute.h90" |
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[3] | 51 | !!---------------------------------------------------------------------- |
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[2528] | 52 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[888] | 53 | !! $Id$ |
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[2715] | 54 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[592] | 55 | !!---------------------------------------------------------------------- |
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[3] | 56 | CONTAINS |
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| 57 | |
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[4292] | 58 | SUBROUTINE ssh_nxt( kt ) |
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[3] | 59 | !!---------------------------------------------------------------------- |
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[4292] | 60 | !! *** ROUTINE ssh_nxt *** |
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[1438] | 61 | !! |
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[4292] | 62 | !! ** Purpose : compute the after ssh (ssha) |
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[3] | 63 | !! |
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[4292] | 64 | !! ** Method : - Using the incompressibility hypothesis, the ssh increment |
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| 65 | !! is computed by integrating the horizontal divergence and multiply by |
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| 66 | !! by the time step. |
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[3] | 67 | !! |
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[1438] | 68 | !! ** action : ssha : after sea surface height |
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[2528] | 69 | !! |
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| 70 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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[3] | 71 | !!---------------------------------------------------------------------- |
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[2715] | 72 | ! |
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[4292] | 73 | REAL(wp), POINTER, DIMENSION(:,: ) :: zhdiv |
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| 74 | INTEGER, INTENT(in) :: kt ! time step |
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| 75 | ! |
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| 76 | INTEGER :: jk ! dummy loop indice |
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| 77 | REAL(wp) :: z2dt, z1_rau0 ! local scalars |
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[3] | 78 | !!---------------------------------------------------------------------- |
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[3294] | 79 | ! |
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[4292] | 80 | IF( nn_timing == 1 ) CALL timing_start('ssh_nxt') |
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[3294] | 81 | ! |
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[4292] | 82 | CALL wrk_alloc( jpi, jpj, zhdiv ) |
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[3294] | 83 | ! |
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[3] | 84 | IF( kt == nit000 ) THEN |
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[2528] | 85 | ! |
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[3] | 86 | IF(lwp) WRITE(numout,*) |
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[4292] | 87 | IF(lwp) WRITE(numout,*) 'ssh_nxt : after sea surface height' |
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[1438] | 88 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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| 89 | ! |
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[3] | 90 | ENDIF |
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[2528] | 91 | ! |
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| 92 | CALL div_cur( kt ) ! Horizontal divergence & Relative vorticity |
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| 93 | ! |
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[2715] | 94 | z2dt = 2._wp * rdt ! set time step size (Euler/Leapfrog) |
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| 95 | IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt |
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[3] | 96 | |
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[1438] | 97 | ! !------------------------------! |
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| 98 | ! ! After Sea Surface Height ! |
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| 99 | ! !------------------------------! |
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[2715] | 100 | zhdiv(:,:) = 0._wp |
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[1438] | 101 | DO jk = 1, jpkm1 ! Horizontal divergence of barotropic transports |
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[4292] | 102 | zhdiv(:,:) = zhdiv(:,:) + fse3t_n(:,:,jk) * hdivn(:,:,jk) |
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[1438] | 103 | END DO |
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| 104 | ! ! Sea surface elevation time stepping |
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[4338] | 105 | ! In time-split case we need a first guess of the ssh after (using the baroclinic timestep) in order to |
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| 106 | ! compute the vertical velocity which can be used to compute the non-linear terms of the momentum equations. |
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| 107 | ! |
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[4292] | 108 | z1_rau0 = 0.5_wp * r1_rau0 |
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[4990] | 109 | ssha(:,:) = ( sshb(:,:) - z2dt * ( z1_rau0 * ( emp_b(:,:) + emp(:,:) ) + zhdiv(:,:) ) ) * ssmask(:,:) |
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[1438] | 110 | |
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[4486] | 111 | #if ! defined key_dynspg_ts |
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| 112 | ! These lines are not necessary with time splitting since |
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| 113 | ! boundary condition on sea level is set during ts loop |
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[2486] | 114 | #if defined key_agrif |
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[2715] | 115 | CALL agrif_ssh( kt ) |
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[2486] | 116 | #endif |
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[2528] | 117 | #if defined key_bdy |
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[4292] | 118 | IF (lk_bdy) THEN |
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| 119 | CALL lbc_lnk( ssha, 'T', 1. ) ! Not sure that's necessary |
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| 120 | CALL bdy_ssh( ssha ) ! Duplicate sea level across open boundaries |
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| 121 | ENDIF |
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[2528] | 122 | #endif |
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[4486] | 123 | #endif |
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| 124 | |
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[3764] | 125 | #if defined key_asminc |
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| 126 | ! ! Include the IAU weighted SSH increment |
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| 127 | IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN |
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| 128 | CALL ssh_asm_inc( kt ) |
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| 129 | ssha(:,:) = ssha(:,:) + z2dt * ssh_iau(:,:) |
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| 130 | ENDIF |
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| 131 | #endif |
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[4292] | 132 | |
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| 133 | ! !------------------------------! |
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| 134 | ! ! outputs ! |
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| 135 | ! !------------------------------! |
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| 136 | ! |
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| 137 | IF(ln_ctl) CALL prt_ctl( tab2d_1=ssha, clinfo1=' ssha - : ', mask1=tmask, ovlap=1 ) |
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| 138 | ! |
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| 139 | CALL wrk_dealloc( jpi, jpj, zhdiv ) |
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| 140 | ! |
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| 141 | IF( nn_timing == 1 ) CALL timing_stop('ssh_nxt') |
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| 142 | ! |
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| 143 | END SUBROUTINE ssh_nxt |
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| 144 | |
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| 145 | |
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| 146 | SUBROUTINE wzv( kt ) |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | !! *** ROUTINE wzv *** |
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| 149 | !! |
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| 150 | !! ** Purpose : compute the now vertical velocity |
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| 151 | !! |
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| 152 | !! ** Method : - Using the incompressibility hypothesis, the vertical |
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| 153 | !! velocity is computed by integrating the horizontal divergence |
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| 154 | !! from the bottom to the surface minus the scale factor evolution. |
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| 155 | !! The boundary conditions are w=0 at the bottom (no flux) and. |
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| 156 | !! |
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| 157 | !! ** action : wn : now vertical velocity |
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| 158 | !! |
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| 159 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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| 160 | !!---------------------------------------------------------------------- |
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| 161 | ! |
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| 162 | INTEGER, INTENT(in) :: kt ! time step |
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| 163 | REAL(wp), POINTER, DIMENSION(:,: ) :: z2d |
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| 164 | REAL(wp), POINTER, DIMENSION(:,:,:) :: z3d, zhdiv |
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| 165 | ! |
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| 166 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 167 | REAL(wp) :: z1_2dt ! local scalars |
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| 168 | !!---------------------------------------------------------------------- |
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| 169 | |
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| 170 | IF( nn_timing == 1 ) CALL timing_start('wzv') |
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| 171 | ! |
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| 172 | IF( kt == nit000 ) THEN |
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| 173 | ! |
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| 174 | IF(lwp) WRITE(numout,*) |
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| 175 | IF(lwp) WRITE(numout,*) 'wzv : now vertical velocity ' |
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| 176 | IF(lwp) WRITE(numout,*) '~~~~~ ' |
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| 177 | ! |
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| 178 | wn(:,:,jpk) = 0._wp ! bottom boundary condition: w=0 (set once for all) |
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| 179 | ! |
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| 180 | ENDIF |
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| 181 | ! !------------------------------! |
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| 182 | ! ! Now Vertical Velocity ! |
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| 183 | ! !------------------------------! |
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| 184 | z1_2dt = 1. / ( 2. * rdt ) ! set time step size (Euler/Leapfrog) |
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| 185 | IF( neuler == 0 .AND. kt == nit000 ) z1_2dt = 1. / rdt |
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| 186 | ! |
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| 187 | IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN ! z_tilde and layer cases |
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| 188 | CALL wrk_alloc( jpi, jpj, jpk, zhdiv ) |
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| 189 | ! |
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| 190 | DO jk = 1, jpkm1 |
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| 191 | ! horizontal divergence of thickness diffusion transport ( velocity multiplied by e3t) |
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[4338] | 192 | ! - ML - note: computation already done in dom_vvl_sf_nxt. Could be optimized (not critical and clearer this way) |
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[4292] | 193 | DO jj = 2, jpjm1 |
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| 194 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 195 | zhdiv(ji,jj,jk) = r1_e12t(ji,jj) * ( un_td(ji,jj,jk) - un_td(ji-1,jj,jk) + vn_td(ji,jj,jk) - vn_td(ji,jj-1,jk) ) |
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| 196 | END DO |
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[592] | 197 | END DO |
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| 198 | END DO |
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[4292] | 199 | CALL lbc_lnk(zhdiv, 'T', 1.) ! - ML - Perhaps not necessary: not used for horizontal "connexions" |
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| 200 | ! ! Is it problematic to have a wrong vertical velocity in boundary cells? |
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| 201 | ! ! Same question holds for hdivn. Perhaps just for security |
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| 202 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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| 203 | ! computation of w |
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| 204 | wn(:,:,jk) = wn(:,:,jk+1) - ( fse3t_n(:,:,jk) * hdivn(:,:,jk) + zhdiv(:,:,jk) & |
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| 205 | & + z1_2dt * ( fse3t_a(:,:,jk) - fse3t_b(:,:,jk) ) ) * tmask(:,:,jk) |
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| 206 | END DO |
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| 207 | ! IF( ln_vvl_layer ) wn(:,:,:) = 0.e0 |
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| 208 | CALL wrk_dealloc( jpi, jpj, jpk, zhdiv ) |
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| 209 | ELSE ! z_star and linear free surface cases |
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| 210 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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| 211 | ! computation of w |
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| 212 | wn(:,:,jk) = wn(:,:,jk+1) - ( fse3t_n(:,:,jk) * hdivn(:,:,jk) & |
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| 213 | & + z1_2dt * ( fse3t_a(:,:,jk) - fse3t_b(:,:,jk) ) ) * tmask(:,:,jk) |
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| 214 | END DO |
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[1438] | 215 | ENDIF |
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[592] | 216 | |
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[2528] | 217 | #if defined key_bdy |
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[4327] | 218 | IF (lk_bdy) THEN |
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| 219 | DO jk = 1, jpkm1 |
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| 220 | wn(:,:,jk) = wn(:,:,jk) * bdytmask(:,:) |
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| 221 | END DO |
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| 222 | ENDIF |
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[2528] | 223 | #endif |
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[4292] | 224 | ! |
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| 225 | IF( nn_timing == 1 ) CALL timing_stop('wzv') |
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[592] | 226 | |
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| 227 | |
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[4292] | 228 | END SUBROUTINE wzv |
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| 229 | |
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| 230 | SUBROUTINE ssh_swp( kt ) |
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[1438] | 231 | !!---------------------------------------------------------------------- |
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| 232 | !! *** ROUTINE ssh_nxt *** |
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| 233 | !! |
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| 234 | !! ** Purpose : achieve the sea surface height time stepping by |
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| 235 | !! applying Asselin time filter and swapping the arrays |
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[4292] | 236 | !! ssha already computed in ssh_nxt |
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[1438] | 237 | !! |
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[2528] | 238 | !! ** Method : - apply Asselin time fiter to now ssh (excluding the forcing |
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| 239 | !! from the filter, see Leclair and Madec 2010) and swap : |
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| 240 | !! sshn = ssha + atfp * ( sshb -2 sshn + ssha ) |
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| 241 | !! - atfp * rdt * ( emp_b - emp ) / rau0 |
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| 242 | !! sshn = ssha |
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[1438] | 243 | !! |
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| 244 | !! ** action : - sshb, sshn : before & now sea surface height |
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| 245 | !! ready for the next time step |
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[2528] | 246 | !! |
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| 247 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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[1438] | 248 | !!---------------------------------------------------------------------- |
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[2528] | 249 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[1438] | 250 | !!---------------------------------------------------------------------- |
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[3294] | 251 | ! |
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[4292] | 252 | IF( nn_timing == 1 ) CALL timing_start('ssh_swp') |
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[3294] | 253 | ! |
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[1438] | 254 | IF( kt == nit000 ) THEN |
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| 255 | IF(lwp) WRITE(numout,*) |
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[4292] | 256 | IF(lwp) WRITE(numout,*) 'ssh_swp : Asselin time filter and swap of sea surface height' |
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[1438] | 257 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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| 258 | ENDIF |
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[592] | 259 | |
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[4292] | 260 | # if defined key_dynspg_ts |
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| 261 | IF( ( neuler == 0 .AND. kt == nit000 ) .OR. ln_bt_fw ) THEN !** Euler time-stepping: no filter |
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| 262 | # else |
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| 263 | IF ( neuler == 0 .AND. kt == nit000 ) THEN !** Euler time-stepping at first time-step : no filter |
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| 264 | #endif |
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| 265 | sshb(:,:) = sshn(:,:) ! before <-- now |
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| 266 | sshn(:,:) = ssha(:,:) ! now <-- after (before already = now) |
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| 267 | ELSE !** Leap-Frog time-stepping: Asselin filter + swap |
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| 268 | sshb(:,:) = sshn(:,:) + atfp * ( sshb(:,:) - 2 * sshn(:,:) + ssha(:,:) ) ! before <-- now filtered |
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[5628] | 269 | IF( lk_vvl ) sshb(:,:) = sshb(:,:) - atfp * rdt / rau0 * ( emp_b(:,:) - emp(:,:) & |
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| 270 | & - rnf_b(:,:) + rnf(:,:) & |
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| 271 | & + fwfisf_b(:,:) - fwfisf(:,:) ) * ssmask(:,:) |
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[4292] | 272 | sshn(:,:) = ssha(:,:) ! now <-- after |
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[1438] | 273 | ENDIF |
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| 274 | ! |
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[2528] | 275 | IF(ln_ctl) CALL prt_ctl( tab2d_1=sshb, clinfo1=' sshb - : ', mask1=tmask, ovlap=1 ) |
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| 276 | ! |
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[4292] | 277 | IF( nn_timing == 1 ) CALL timing_stop('ssh_swp') |
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[3294] | 278 | ! |
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[4292] | 279 | END SUBROUTINE ssh_swp |
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[3] | 280 | |
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| 281 | !!====================================================================== |
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[1565] | 282 | END MODULE sshwzv |
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