[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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[14053] | 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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| 10 | !! 3.3 ! 2011-10 (M. Leclair) split former ssh_wzv routine and remove all vvl related work |
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| 11 | !! 4.0 ! 2018-12 (A. Coward) add mixed implicit/explicit advection |
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| 12 | !! 4.1 ! 2019-08 (A. Coward, D. Storkey) Rename ssh_nxt -> ssh_atf. Now only does time filtering. |
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| 13 | !! - ! 2020-08 (S. Techene, G. Madec) add here ssh initiatlisation |
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[3] | 14 | !!---------------------------------------------------------------------- |
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[1438] | 15 | |
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[3] | 16 | !!---------------------------------------------------------------------- |
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[6140] | 17 | !! ssh_nxt : after ssh |
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[12377] | 18 | !! ssh_atf : time filter the ssh arrays |
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[6140] | 19 | !! wzv : compute now vertical velocity |
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[1438] | 20 | !!---------------------------------------------------------------------- |
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[6140] | 21 | USE oce ! ocean dynamics and tracers variables |
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[12377] | 22 | USE isf_oce ! ice shelf |
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[6140] | 23 | USE dom_oce ! ocean space and time domain variables |
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| 24 | USE sbc_oce ! surface boundary condition: ocean |
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| 25 | USE domvvl ! Variable volume |
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| 26 | USE divhor ! horizontal divergence |
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| 27 | USE phycst ! physical constants |
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[9019] | 28 | USE bdy_oce , ONLY : ln_bdy, bdytmask ! Open BounDarY |
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[6140] | 29 | USE bdydyn2d ! bdy_ssh routine |
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[14139] | 30 | USE wet_dry ! Wetting/Drying flux limiting |
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[2528] | 31 | #if defined key_agrif |
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[13286] | 32 | USE agrif_oce |
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[9570] | 33 | USE agrif_oce_interp |
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[2528] | 34 | #endif |
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[6140] | 35 | ! |
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[10364] | 36 | USE iom |
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[6140] | 37 | USE in_out_manager ! I/O manager |
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| 38 | USE restart ! only for lrst_oce |
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| 39 | USE prtctl ! Print control |
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| 40 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 41 | USE lib_mpp ! MPP library |
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| 42 | USE timing ! Timing |
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[14053] | 43 | |
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[3] | 44 | IMPLICIT NONE |
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| 45 | PRIVATE |
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| 46 | |
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[14053] | 47 | PUBLIC ssh_nxt ! called by step.F90 |
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| 48 | PUBLIC wzv ! called by step.F90 |
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| 49 | PUBLIC wAimp ! called by step.F90 |
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| 50 | PUBLIC ssh_atf ! called by step.F90 |
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[3] | 51 | |
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| 52 | !! * Substitutions |
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[12377] | 53 | # include "do_loop_substitute.h90" |
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[13237] | 54 | # include "domzgr_substitute.h90" |
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[3] | 55 | !!---------------------------------------------------------------------- |
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[9598] | 56 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[888] | 57 | !! $Id$ |
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[10068] | 58 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[592] | 59 | !!---------------------------------------------------------------------- |
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[3] | 60 | CONTAINS |
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| 61 | |
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[12377] | 62 | SUBROUTINE ssh_nxt( kt, Kbb, Kmm, pssh, Kaa ) |
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[3] | 63 | !!---------------------------------------------------------------------- |
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[4292] | 64 | !! *** ROUTINE ssh_nxt *** |
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[1438] | 65 | !! |
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[12377] | 66 | !! ** Purpose : compute the after ssh (ssh(Kaa)) |
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[3] | 67 | !! |
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[4292] | 68 | !! ** Method : - Using the incompressibility hypothesis, the ssh increment |
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| 69 | !! is computed by integrating the horizontal divergence and multiply by |
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| 70 | !! by the time step. |
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[3] | 71 | !! |
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[12377] | 72 | !! ** action : ssh(:,:,Kaa), after sea surface height |
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[2528] | 73 | !! |
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| 74 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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[3] | 75 | !!---------------------------------------------------------------------- |
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[12377] | 76 | INTEGER , INTENT(in ) :: kt ! time step |
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| 77 | INTEGER , INTENT(in ) :: Kbb, Kmm, Kaa ! time level index |
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| 78 | REAL(wp), DIMENSION(jpi,jpj,jpt), INTENT(inout) :: pssh ! sea-surface height |
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[4292] | 79 | ! |
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[12489] | 80 | INTEGER :: jk ! dummy loop index |
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| 81 | REAL(wp) :: zcoef ! local scalar |
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[9019] | 82 | REAL(wp), DIMENSION(jpi,jpj) :: zhdiv ! 2D workspace |
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[3] | 83 | !!---------------------------------------------------------------------- |
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[3294] | 84 | ! |
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[9019] | 85 | IF( ln_timing ) CALL timing_start('ssh_nxt') |
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[3294] | 86 | ! |
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[3] | 87 | IF( kt == nit000 ) THEN |
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| 88 | IF(lwp) WRITE(numout,*) |
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[4292] | 89 | IF(lwp) WRITE(numout,*) 'ssh_nxt : after sea surface height' |
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[1438] | 90 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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[3] | 91 | ENDIF |
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[2528] | 92 | ! |
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[12489] | 93 | zcoef = 0.5_wp * r1_rho0 |
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[3] | 94 | |
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[1438] | 95 | ! !------------------------------! |
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| 96 | ! ! After Sea Surface Height ! |
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| 97 | ! !------------------------------! |
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[9023] | 98 | IF(ln_wd_il) THEN |
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[12489] | 99 | CALL wad_lmt(pssh(:,:,Kbb), zcoef * (emp_b(:,:) + emp(:,:)), rDt, Kmm, uu, vv ) |
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[7753] | 100 | ENDIF |
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[7646] | 101 | |
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[12377] | 102 | CALL div_hor( kt, Kbb, Kmm ) ! Horizontal divergence |
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[7646] | 103 | ! |
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[7753] | 104 | zhdiv(:,:) = 0._wp |
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[1438] | 105 | DO jk = 1, jpkm1 ! Horizontal divergence of barotropic transports |
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[12377] | 106 | zhdiv(:,:) = zhdiv(:,:) + e3t(:,:,jk,Kmm) * hdiv(:,:,jk) |
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[1438] | 107 | END DO |
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| 108 | ! ! Sea surface elevation time stepping |
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[4338] | 109 | ! In time-split case we need a first guess of the ssh after (using the baroclinic timestep) in order to |
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| 110 | ! compute the vertical velocity which can be used to compute the non-linear terms of the momentum equations. |
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| 111 | ! |
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[12489] | 112 | pssh(:,:,Kaa) = ( pssh(:,:,Kbb) - rDt * ( zcoef * ( emp_b(:,:) + emp(:,:) ) + zhdiv(:,:) ) ) * ssmask(:,:) |
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[9023] | 113 | ! |
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| 114 | #if defined key_agrif |
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[13237] | 115 | Kbb_a = Kbb ; Kmm_a = Kmm ; Krhs_a = Kaa |
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| 116 | CALL agrif_ssh( kt ) |
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[9023] | 117 | #endif |
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| 118 | ! |
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[5930] | 119 | IF ( .NOT.ln_dynspg_ts ) THEN |
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[7646] | 120 | IF( ln_bdy ) THEN |
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[13226] | 121 | CALL lbc_lnk( 'sshwzv', pssh(:,:,Kaa), 'T', 1.0_wp ) ! Not sure that's necessary |
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[12377] | 122 | CALL bdy_ssh( pssh(:,:,Kaa) ) ! Duplicate sea level across open boundaries |
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[5930] | 123 | ENDIF |
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[4292] | 124 | ENDIF |
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| 125 | ! !------------------------------! |
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| 126 | ! ! outputs ! |
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| 127 | ! !------------------------------! |
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| 128 | ! |
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[12377] | 129 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab2d_1=pssh(:,:,Kaa), clinfo1=' pssh(:,:,Kaa) - : ', mask1=tmask ) |
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[4292] | 130 | ! |
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[9019] | 131 | IF( ln_timing ) CALL timing_stop('ssh_nxt') |
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[4292] | 132 | ! |
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| 133 | END SUBROUTINE ssh_nxt |
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| 134 | |
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| 135 | |
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[13237] | 136 | SUBROUTINE wzv( kt, Kbb, Kmm, Kaa, pww ) |
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[4292] | 137 | !!---------------------------------------------------------------------- |
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| 138 | !! *** ROUTINE wzv *** |
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| 139 | !! |
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| 140 | !! ** Purpose : compute the now vertical velocity |
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| 141 | !! |
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| 142 | !! ** Method : - Using the incompressibility hypothesis, the vertical |
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| 143 | !! velocity is computed by integrating the horizontal divergence |
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| 144 | !! from the bottom to the surface minus the scale factor evolution. |
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| 145 | !! The boundary conditions are w=0 at the bottom (no flux) and. |
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| 146 | !! |
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[12377] | 147 | !! ** action : pww : now vertical velocity |
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[4292] | 148 | !! |
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| 149 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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| 150 | !!---------------------------------------------------------------------- |
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[12377] | 151 | INTEGER , INTENT(in) :: kt ! time step |
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| 152 | INTEGER , INTENT(in) :: Kbb, Kmm, Kaa ! time level indices |
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[13237] | 153 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pww ! vertical velocity at Kmm |
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[4292] | 154 | ! |
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[5836] | 155 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[9019] | 156 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zhdiv |
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[4292] | 157 | !!---------------------------------------------------------------------- |
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| 158 | ! |
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[9019] | 159 | IF( ln_timing ) CALL timing_start('wzv') |
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[5836] | 160 | ! |
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[4292] | 161 | IF( kt == nit000 ) THEN |
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| 162 | IF(lwp) WRITE(numout,*) |
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| 163 | IF(lwp) WRITE(numout,*) 'wzv : now vertical velocity ' |
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| 164 | IF(lwp) WRITE(numout,*) '~~~~~ ' |
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| 165 | ! |
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[12377] | 166 | pww(:,:,jpk) = 0._wp ! bottom boundary condition: w=0 (set once for all) |
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[4292] | 167 | ENDIF |
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| 168 | ! !------------------------------! |
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| 169 | ! ! Now Vertical Velocity ! |
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| 170 | ! !------------------------------! |
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| 171 | ! |
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[13237] | 172 | ! !===============================! |
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| 173 | IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN !== z_tilde and layer cases ==! |
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| 174 | ! !===============================! |
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[9019] | 175 | ALLOCATE( zhdiv(jpi,jpj,jpk) ) |
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[4292] | 176 | ! |
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| 177 | DO jk = 1, jpkm1 |
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| 178 | ! horizontal divergence of thickness diffusion transport ( velocity multiplied by e3t) |
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[4338] | 179 | ! - ML - note: computation already done in dom_vvl_sf_nxt. Could be optimized (not critical and clearer this way) |
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[13295] | 180 | DO_2D( 0, 0, 0, 0 ) |
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[12377] | 181 | zhdiv(ji,jj,jk) = r1_e1e2t(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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| 182 | END_2D |
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[592] | 183 | END DO |
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[13226] | 184 | CALL lbc_lnk('sshwzv', zhdiv, 'T', 1.0_wp) ! - ML - Perhaps not necessary: not used for horizontal "connexions" |
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[4292] | 185 | ! ! Is it problematic to have a wrong vertical velocity in boundary cells? |
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[12377] | 186 | ! ! Same question holds for hdiv. Perhaps just for security |
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[4292] | 187 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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| 188 | ! computation of w |
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[13237] | 189 | pww(:,:,jk) = pww(:,:,jk+1) - ( e3t(:,:,jk,Kmm) * hdiv(:,:,jk) & |
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| 190 | & + zhdiv(:,:,jk) & |
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| 191 | & + r1_Dt * ( e3t(:,:,jk,Kaa) & |
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| 192 | & - e3t(:,:,jk,Kbb) ) ) * tmask(:,:,jk) |
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[4292] | 193 | END DO |
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[12377] | 194 | ! IF( ln_vvl_layer ) pww(:,:,:) = 0.e0 |
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[9019] | 195 | DEALLOCATE( zhdiv ) |
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[13237] | 196 | ! !=================================! |
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| 197 | ELSEIF( ln_linssh ) THEN !== linear free surface cases ==! |
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| 198 | ! !=================================! |
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| 199 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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| 200 | pww(:,:,jk) = pww(:,:,jk+1) - ( e3t(:,:,jk,Kmm) * hdiv(:,:,jk) ) * tmask(:,:,jk) |
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| 201 | END DO |
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| 202 | ! !==========================================! |
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| 203 | ELSE !== Quasi-Eulerian vertical coordinate ==! ('key_qco') |
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| 204 | ! !==========================================! |
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[13497] | 205 | DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence |
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[12377] | 206 | pww(:,:,jk) = pww(:,:,jk+1) - ( e3t(:,:,jk,Kmm) * hdiv(:,:,jk) & |
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[13237] | 207 | & + r1_Dt * ( e3t(:,:,jk,Kaa) & |
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| 208 | & - e3t(:,:,jk,Kbb) ) ) * tmask(:,:,jk) |
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[4292] | 209 | END DO |
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[1438] | 210 | ENDIF |
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[592] | 211 | |
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[7646] | 212 | IF( ln_bdy ) THEN |
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[4327] | 213 | DO jk = 1, jpkm1 |
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[12377] | 214 | pww(:,:,jk) = pww(:,:,jk) * bdytmask(:,:) |
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[4327] | 215 | END DO |
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| 216 | ENDIF |
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[4292] | 217 | ! |
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[13286] | 218 | #if defined key_agrif |
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| 219 | IF( .NOT. AGRIF_Root() ) THEN |
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| 220 | ! |
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[12965] | 221 | ! Mask vertical velocity at first/last columns/row |
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| 222 | ! inside computational domain (cosmetic) |
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[13286] | 223 | DO jk = 1, jpkm1 |
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| 224 | IF( lk_west ) THEN ! --- West --- ! |
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| 225 | DO ji = mi0(2+nn_hls), mi1(2+nn_hls) |
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| 226 | DO jj = 1, jpj |
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| 227 | pww(ji,jj,jk) = 0._wp |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | ENDIF |
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| 231 | IF( lk_east ) THEN ! --- East --- ! |
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| 232 | DO ji = mi0(jpiglo-1-nn_hls), mi1(jpiglo-1-nn_hls) |
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| 233 | DO jj = 1, jpj |
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| 234 | pww(ji,jj,jk) = 0._wp |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | ENDIF |
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| 238 | IF( lk_south ) THEN ! --- South --- ! |
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| 239 | DO jj = mj0(2+nn_hls), mj1(2+nn_hls) |
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| 240 | DO ji = 1, jpi |
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| 241 | pww(ji,jj,jk) = 0._wp |
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| 242 | END DO |
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| 243 | END DO |
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| 244 | ENDIF |
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| 245 | IF( lk_north ) THEN ! --- North --- ! |
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| 246 | DO jj = mj0(jpjglo-1-nn_hls), mj1(jpjglo-1-nn_hls) |
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| 247 | DO ji = 1, jpi |
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| 248 | pww(ji,jj,jk) = 0._wp |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | ENDIF |
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| 252 | ! |
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| 253 | END DO |
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[12965] | 254 | ! |
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[9023] | 255 | ENDIF |
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[13286] | 256 | #endif |
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[5836] | 257 | ! |
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[9124] | 258 | IF( ln_timing ) CALL timing_stop('wzv') |
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[9023] | 259 | ! |
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[5836] | 260 | END SUBROUTINE wzv |
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[592] | 261 | |
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| 262 | |
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[14205] | 263 | SUBROUTINE ssh_atf( kt, Kbb, Kmm, Kaa, pssh ) |
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[1438] | 264 | !!---------------------------------------------------------------------- |
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[12377] | 265 | !! *** ROUTINE ssh_atf *** |
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[1438] | 266 | !! |
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[12377] | 267 | !! ** Purpose : Apply Asselin time filter to now SSH. |
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[1438] | 268 | !! |
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[2528] | 269 | !! ** Method : - apply Asselin time fiter to now ssh (excluding the forcing |
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| 270 | !! from the filter, see Leclair and Madec 2010) and swap : |
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[12489] | 271 | !! pssh(:,:,Kmm) = pssh(:,:,Kaa) + rn_atfp * ( pssh(:,:,Kbb) -2 pssh(:,:,Kmm) + pssh(:,:,Kaa) ) |
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| 272 | !! - rn_atfp * rn_Dt * ( emp_b - emp ) / rho0 |
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[1438] | 273 | !! |
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[12377] | 274 | !! ** action : - pssh(:,:,Kmm) time filtered |
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[2528] | 275 | !! |
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| 276 | !! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling. |
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[1438] | 277 | !!---------------------------------------------------------------------- |
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[12377] | 278 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 279 | INTEGER , INTENT(in ) :: Kbb, Kmm, Kaa ! ocean time level indices |
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[14205] | 280 | REAL(wp), DIMENSION(jpi,jpj,jpt), INTENT(inout) :: pssh ! SSH field |
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[6140] | 281 | ! |
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| 282 | REAL(wp) :: zcoef ! local scalar |
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[1438] | 283 | !!---------------------------------------------------------------------- |
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[3294] | 284 | ! |
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[12377] | 285 | IF( ln_timing ) CALL timing_start('ssh_atf') |
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[3294] | 286 | ! |
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[1438] | 287 | IF( kt == nit000 ) THEN |
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| 288 | IF(lwp) WRITE(numout,*) |
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[12377] | 289 | IF(lwp) WRITE(numout,*) 'ssh_atf : Asselin time filter of sea surface height' |
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[1438] | 290 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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| 291 | ENDIF |
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[14205] | 292 | ! |
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| 293 | IF( .NOT.l_1st_euler ) THEN ! Apply Asselin time filter on Kmm field (not on euler 1st) |
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[14053] | 294 | ! |
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[14205] | 295 | IF( ln_linssh ) THEN ! filtered "now" field |
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| 296 | pssh(:,:,Kmm) = pssh(:,:,Kmm) + rn_atfp * ( pssh(:,:,Kbb) - 2 * pssh(:,:,Kmm) + pssh(:,:,Kaa) ) |
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| 297 | ! |
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| 298 | ELSE ! filtered "now" field with forcing removed |
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[12489] | 299 | zcoef = rn_atfp * rn_Dt * r1_rho0 |
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[14205] | 300 | pssh(:,:,Kmm) = pssh(:,:,Kmm) + rn_atfp * ( pssh(:,:,Kbb) - 2 * pssh(:,:,Kmm) + pssh(:,:,Kaa) ) & |
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| 301 | & - zcoef * ( emp_b(:,:) - emp(:,:) & |
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| 302 | & - rnf_b(:,:) + rnf(:,:) & |
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| 303 | & + fwfisf_cav_b(:,:) - fwfisf_cav(:,:) & |
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| 304 | & + fwfisf_par_b(:,:) - fwfisf_par(:,:) ) * ssmask(:,:) |
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[12377] | 305 | |
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| 306 | ! ice sheet coupling |
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[14053] | 307 | IF( ln_isf .AND. ln_isfcpl .AND. kt == nit000+1 ) & |
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[14205] | 308 | & pssh(:,:,Kbb) = pssh(:,:,Kbb) - rn_atfp * rn_Dt * ( risfcpl_ssh(:,:) - 0._wp ) * ssmask(:,:) |
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[12377] | 309 | |
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[6140] | 310 | ENDIF |
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[1438] | 311 | ENDIF |
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| 312 | ! |
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[14053] | 313 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab2d_1=pssh(:,:,Kmm), clinfo1=' atf - pssh(:,:,Kmm): ', mask1=tmask ) |
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[2528] | 314 | ! |
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[12377] | 315 | IF( ln_timing ) CALL timing_stop('ssh_atf') |
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[3294] | 316 | ! |
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[12377] | 317 | END SUBROUTINE ssh_atf |
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[3] | 318 | |
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[13237] | 319 | |
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[12377] | 320 | SUBROUTINE wAimp( kt, Kmm ) |
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[10364] | 321 | !!---------------------------------------------------------------------- |
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| 322 | !! *** ROUTINE wAimp *** |
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| 323 | !! |
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| 324 | !! ** Purpose : compute the Courant number and partition vertical velocity |
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| 325 | !! if a proportion needs to be treated implicitly |
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| 326 | !! |
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| 327 | !! ** Method : - |
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| 328 | !! |
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[12377] | 329 | !! ** action : ww : now vertical velocity (to be handled explicitly) |
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[10364] | 330 | !! : wi : now vertical velocity (for implicit treatment) |
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| 331 | !! |
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[11414] | 332 | !! Reference : Shchepetkin, A. F. (2015): An adaptive, Courant-number-dependent |
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| 333 | !! implicit scheme for vertical advection in oceanic modeling. |
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| 334 | !! Ocean Modelling, 91, 38-69. |
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[10364] | 335 | !!---------------------------------------------------------------------- |
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| 336 | INTEGER, INTENT(in) :: kt ! time step |
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[12377] | 337 | INTEGER, INTENT(in) :: Kmm ! time level index |
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[10364] | 338 | ! |
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| 339 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[13237] | 340 | REAL(wp) :: zCu, zcff, z1_e3t, zdt ! local scalars |
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[10364] | 341 | REAL(wp) , PARAMETER :: Cu_min = 0.15_wp ! local parameters |
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[11407] | 342 | REAL(wp) , PARAMETER :: Cu_max = 0.30_wp ! local parameters |
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[10364] | 343 | REAL(wp) , PARAMETER :: Cu_cut = 2._wp*Cu_max - Cu_min ! local parameters |
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| 344 | REAL(wp) , PARAMETER :: Fcu = 4._wp*Cu_max*(Cu_max-Cu_min) ! local parameters |
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| 345 | !!---------------------------------------------------------------------- |
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| 346 | ! |
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| 347 | IF( ln_timing ) CALL timing_start('wAimp') |
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| 348 | ! |
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| 349 | IF( kt == nit000 ) THEN |
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| 350 | IF(lwp) WRITE(numout,*) |
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| 351 | IF(lwp) WRITE(numout,*) 'wAimp : Courant number-based partitioning of now vertical velocity ' |
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| 352 | IF(lwp) WRITE(numout,*) '~~~~~ ' |
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[11293] | 353 | wi(:,:,:) = 0._wp |
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[10364] | 354 | ENDIF |
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| 355 | ! |
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[11414] | 356 | ! Calculate Courant numbers |
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[13237] | 357 | zdt = 2._wp * rn_Dt ! 2*rn_Dt and not rDt (for restartability) |
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[11414] | 358 | IF( ln_vvl_ztilde .OR. ln_vvl_layer ) THEN |
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[13295] | 359 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 360 | z1_e3t = 1._wp / e3t(ji,jj,jk,Kmm) |
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[13237] | 361 | Cu_adv(ji,jj,jk) = zdt * & |
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| 362 | & ( ( MAX( ww(ji,jj,jk) , 0._wp ) - MIN( ww(ji,jj,jk+1) , 0._wp ) ) & |
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| 363 | & + ( MAX( e2u(ji ,jj) * e3u(ji ,jj,jk,Kmm) & |
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| 364 | & * uu (ji ,jj,jk,Kmm) + un_td(ji ,jj,jk), 0._wp ) - & |
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| 365 | & MIN( e2u(ji-1,jj) * e3u(ji-1,jj,jk,Kmm) & |
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| 366 | & * uu (ji-1,jj,jk,Kmm) + un_td(ji-1,jj,jk), 0._wp ) ) & |
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[12377] | 367 | & * r1_e1e2t(ji,jj) & |
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[13237] | 368 | & + ( MAX( e1v(ji,jj ) * e3v(ji,jj ,jk,Kmm) & |
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| 369 | & * vv (ji,jj ,jk,Kmm) + vn_td(ji,jj ,jk), 0._wp ) - & |
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| 370 | & MIN( e1v(ji,jj-1) * e3v(ji,jj-1,jk,Kmm) & |
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| 371 | & * vv (ji,jj-1,jk,Kmm) + vn_td(ji,jj-1,jk), 0._wp ) ) & |
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[12377] | 372 | & * r1_e1e2t(ji,jj) & |
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| 373 | & ) * z1_e3t |
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| 374 | END_3D |
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[11414] | 375 | ELSE |
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[13295] | 376 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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[12377] | 377 | z1_e3t = 1._wp / e3t(ji,jj,jk,Kmm) |
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[13237] | 378 | Cu_adv(ji,jj,jk) = zdt * & |
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| 379 | & ( ( MAX( ww(ji,jj,jk) , 0._wp ) - MIN( ww(ji,jj,jk+1) , 0._wp ) ) & |
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[12377] | 380 | & + ( MAX( e2u(ji ,jj)*e3u(ji ,jj,jk,Kmm)*uu(ji ,jj,jk,Kmm), 0._wp ) - & |
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| 381 | & MIN( e2u(ji-1,jj)*e3u(ji-1,jj,jk,Kmm)*uu(ji-1,jj,jk,Kmm), 0._wp ) ) & |
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| 382 | & * r1_e1e2t(ji,jj) & |
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| 383 | & + ( MAX( e1v(ji,jj )*e3v(ji,jj ,jk,Kmm)*vv(ji,jj ,jk,Kmm), 0._wp ) - & |
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| 384 | & MIN( e1v(ji,jj-1)*e3v(ji,jj-1,jk,Kmm)*vv(ji,jj-1,jk,Kmm), 0._wp ) ) & |
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| 385 | & * r1_e1e2t(ji,jj) & |
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| 386 | & ) * z1_e3t |
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| 387 | END_3D |
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[11414] | 388 | ENDIF |
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[13226] | 389 | CALL lbc_lnk( 'sshwzv', Cu_adv, 'T', 1.0_wp ) |
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[10364] | 390 | ! |
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| 391 | CALL iom_put("Courant",Cu_adv) |
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| 392 | ! |
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| 393 | IF( MAXVAL( Cu_adv(:,:,:) ) > Cu_min ) THEN ! Quick check if any breaches anywhere |
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[13497] | 394 | DO_3DS( 1, 1, 1, 1, jpkm1, 2, -1 ) ! or scan Courant criterion and partition ! w where necessary |
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[12377] | 395 | ! |
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| 396 | zCu = MAX( Cu_adv(ji,jj,jk) , Cu_adv(ji,jj,jk-1) ) |
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[11293] | 397 | ! alt: |
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[12377] | 398 | ! IF ( ww(ji,jj,jk) > 0._wp ) THEN |
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[11293] | 399 | ! zCu = Cu_adv(ji,jj,jk) |
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| 400 | ! ELSE |
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| 401 | ! zCu = Cu_adv(ji,jj,jk-1) |
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| 402 | ! ENDIF |
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[12377] | 403 | ! |
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| 404 | IF( zCu <= Cu_min ) THEN !<-- Fully explicit |
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| 405 | zcff = 0._wp |
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| 406 | ELSEIF( zCu < Cu_cut ) THEN !<-- Mixed explicit |
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| 407 | zcff = ( zCu - Cu_min )**2 |
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| 408 | zcff = zcff / ( Fcu + zcff ) |
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| 409 | ELSE !<-- Mostly implicit |
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| 410 | zcff = ( zCu - Cu_max )/ zCu |
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| 411 | ENDIF |
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| 412 | zcff = MIN(1._wp, zcff) |
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| 413 | ! |
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| 414 | wi(ji,jj,jk) = zcff * ww(ji,jj,jk) |
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| 415 | ww(ji,jj,jk) = ( 1._wp - zcff ) * ww(ji,jj,jk) |
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| 416 | ! |
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| 417 | Cu_adv(ji,jj,jk) = zcff ! Reuse array to output coefficient below and in stp_ctl |
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| 418 | END_3D |
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[11293] | 419 | Cu_adv(:,:,1) = 0._wp |
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[10364] | 420 | ELSE |
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| 421 | ! Fully explicit everywhere |
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[11407] | 422 | Cu_adv(:,:,:) = 0._wp ! Reuse array to output coefficient below and in stp_ctl |
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[10907] | 423 | wi (:,:,:) = 0._wp |
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[10364] | 424 | ENDIF |
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| 425 | CALL iom_put("wimp",wi) |
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| 426 | CALL iom_put("wi_cff",Cu_adv) |
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[12377] | 427 | CALL iom_put("wexp",ww) |
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[10364] | 428 | ! |
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| 429 | IF( ln_timing ) CALL timing_stop('wAimp') |
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| 430 | ! |
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| 431 | END SUBROUTINE wAimp |
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[14053] | 432 | |
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[3] | 433 | !!====================================================================== |
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[1565] | 434 | END MODULE sshwzv |
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