[3] | 1 | MODULE trazdf_exp |
---|
| 2 | !!============================================================================== |
---|
| 3 | !! *** MODULE trazdf_exp *** |
---|
[2528] | 4 | !! Ocean tracers: vertical component of the tracer mixing trend using |
---|
| 5 | !! a split-explicit time-stepping |
---|
[3] | 6 | !!============================================================================== |
---|
[1110] | 7 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
---|
| 8 | !! 7.0 ! 1991-11 (G. Madec) |
---|
| 9 | !! ! 1992-06 (M. Imbard) correction on tracer trend loops |
---|
| 10 | !! ! 1996-01 (G. Madec) statement function for e3 |
---|
| 11 | !! ! 1997-05 (G. Madec) vertical component of isopycnal |
---|
| 12 | !! ! 1997-07 (G. Madec) geopotential diffusion in s-coord |
---|
| 13 | !! ! 2000-08 (G. Madec) double diffusive mixing |
---|
| 14 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
---|
| 15 | !! - ! 2004-08 (C. Talandier) New trends organisation |
---|
| 16 | !! - ! 2005-11 (G. Madec) New organisation |
---|
| 17 | !! 3.0 ! 2008-04 (G. Madec) leap-frog time stepping done in trazdf |
---|
[2528] | 18 | !! 3.3 ! 2010-06 (C. Ethe, G. Madec) Merge TRA-TRC |
---|
[3] | 19 | !!---------------------------------------------------------------------- |
---|
[1110] | 20 | |
---|
[3] | 21 | !!---------------------------------------------------------------------- |
---|
[1110] | 22 | !! tra_zdf_exp : compute the tracer the vertical diffusion trend using a |
---|
| 23 | !! split-explicit time stepping and provide the after tracer |
---|
| 24 | !!---------------------------------------------------------------------- |
---|
[3] | 25 | USE oce ! ocean dynamics and active tracers |
---|
| 26 | USE dom_oce ! ocean space and time domain |
---|
[2528] | 27 | USE domvvl ! variable volume levels |
---|
[3] | 28 | USE zdf_oce ! ocean vertical physics |
---|
| 29 | USE zdfddm ! ocean vertical physics: double diffusion |
---|
[2636] | 30 | USE trc_oce ! share passive tracers/Ocean variables |
---|
[3] | 31 | USE in_out_manager ! I/O manager |
---|
[2636] | 32 | USE lib_mpp ! MPP library |
---|
[3] | 33 | |
---|
| 34 | IMPLICIT NONE |
---|
| 35 | PRIVATE |
---|
| 36 | |
---|
[1110] | 37 | PUBLIC tra_zdf_exp ! routine called by step.F90 |
---|
[3] | 38 | |
---|
| 39 | !! * Substitutions |
---|
| 40 | # include "domzgr_substitute.h90" |
---|
| 41 | # include "zdfddm_substitute.h90" |
---|
[1110] | 42 | # include "vectopt_loop_substitute.h90" |
---|
[3] | 43 | !!---------------------------------------------------------------------- |
---|
[2528] | 44 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
| 45 | !! $Id$ |
---|
[2636] | 46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 47 | !!---------------------------------------------------------------------- |
---|
| 48 | CONTAINS |
---|
| 49 | |
---|
[2528] | 50 | SUBROUTINE tra_zdf_exp( kt, cdtype, p2dt, kn_zdfexp, & |
---|
| 51 | & ptb , pta , kjpt ) |
---|
[3] | 52 | !!---------------------------------------------------------------------- |
---|
| 53 | !! *** ROUTINE tra_zdf_exp *** |
---|
| 54 | !! |
---|
[1110] | 55 | !! ** Purpose : Compute the after tracer fields due to the vertical |
---|
| 56 | !! tracer mixing alone, and then due to the whole tracer trend. |
---|
[3] | 57 | !! |
---|
[1110] | 58 | !! ** Method : - The after tracer fields due to the vertical diffusion |
---|
| 59 | !! of tracers alone is given by: |
---|
[2528] | 60 | !! zwx = ptb + p2dt difft |
---|
| 61 | !! where difft = dz( avt dz(ptb) ) = 1/e3t dk+1( avt/e3w dk(ptb) ) |
---|
| 62 | !! (if lk_zdfddm=T use avs on salinity and passive tracers instead of avt) |
---|
[1110] | 63 | !! difft is evaluated with an Euler split-explit scheme using a |
---|
| 64 | !! no flux boundary condition at both surface and bottomi boundaries. |
---|
| 65 | !! (N.B. bottom condition is applied through the masked field avt). |
---|
| 66 | !! - the after tracer fields due to the whole trend is |
---|
| 67 | !! obtained in leap-frog environment by : |
---|
[2528] | 68 | !! pta = zwx + p2dt pta |
---|
[1110] | 69 | !! - in case of variable level thickness (lk_vvl=T) the |
---|
| 70 | !! the leap-frog is applied on thickness weighted tracer. That is: |
---|
[2528] | 71 | !! pta = [ ptb*e3tb + e3tn*( zwx - ptb + p2dt pta ) ] / e3tn |
---|
[3] | 72 | !! |
---|
[2528] | 73 | !! ** Action : - after tracer fields pta |
---|
[1110] | 74 | !!--------------------------------------------------------------------- |
---|
[2690] | 75 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
[2696] | 76 | USE wrk_nemo, ONLY: zwx => wrk_3d_6, zwy => wrk_3d_7 ! 3D workspace |
---|
[2690] | 77 | ! |
---|
[2528] | 78 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 79 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 80 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 81 | INTEGER , INTENT(in ) :: kn_zdfexp ! number of sub-time step |
---|
| 82 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 83 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
---|
| 84 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2690] | 85 | ! |
---|
[2528] | 86 | INTEGER :: ji, jj, jk, jn, jl ! dummy loop indices |
---|
| 87 | REAL(wp) :: zlavmr, zave3r, ze3tr ! local scalars |
---|
| 88 | REAL(wp) :: ztra, ze3tb ! - - |
---|
[3] | 89 | !!--------------------------------------------------------------------- |
---|
| 90 | |
---|
[2696] | 91 | IF( wrk_in_use(3, 6,7) ) THEN |
---|
[2690] | 92 | CALL ctl_stop('tra_zdf_exp: requested workspace arrays unavailable') ; RETURN |
---|
| 93 | ENDIF |
---|
[2590] | 94 | |
---|
[2528] | 95 | IF( kt == nit000 ) THEN |
---|
[457] | 96 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 97 | IF(lwp) WRITE(numout,*) 'tra_zdf_exp : explicit vertical mixing on ', cdtype |
---|
[457] | 98 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 99 | ENDIF |
---|
[3] | 100 | |
---|
[1110] | 101 | ! Initializations |
---|
| 102 | ! --------------- |
---|
[2528] | 103 | zlavmr = 1. / float( kn_zdfexp ) ! Local constant |
---|
[1110] | 104 | ! |
---|
| 105 | ! |
---|
[2528] | 106 | DO jn = 1, kjpt ! loop over tracers |
---|
| 107 | ! |
---|
| 108 | zwy(:,:, 1 ) = 0.e0 ! surface boundary conditions: no flux |
---|
| 109 | zwy(:,:,jpk) = 0.e0 ! bottom boundary conditions: no flux |
---|
| 110 | ! |
---|
| 111 | zwx(:,:,:) = ptb(:,:,:,jn) ! zwx array set to before tracer values |
---|
[457] | 112 | |
---|
[2528] | 113 | ! Split-explicit loop (after tracer due to the vertical diffusion alone) |
---|
| 114 | ! ------------------- |
---|
| 115 | ! |
---|
| 116 | DO jl = 1, kn_zdfexp |
---|
| 117 | ! ! first vertical derivative |
---|
| 118 | DO jk = 2, jpk |
---|
| 119 | DO jj = 2, jpjm1 |
---|
| 120 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 121 | zave3r = 1.e0 / fse3w_n(ji,jj,jk) |
---|
| 122 | IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN ! temperature : use of avt |
---|
| 123 | zwy(ji,jj,jk) = avt(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) * zave3r |
---|
| 124 | ELSE ! salinity or pass. tracer : use of avs |
---|
| 125 | zwy(ji,jj,jk) = fsavs(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) * zave3r |
---|
| 126 | END IF |
---|
| 127 | END DO |
---|
[1110] | 128 | END DO |
---|
| 129 | END DO |
---|
[2528] | 130 | ! |
---|
| 131 | DO jk = 1, jpkm1 ! second vertical derivative ==> tracer at kt+l*2*rdt/nn_zdfexp |
---|
| 132 | DO jj = 2, jpjm1 |
---|
| 133 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 134 | ze3tr = zlavmr / fse3t_n(ji,jj,jk) |
---|
| 135 | zwx(ji,jj,jk) = zwx(ji,jj,jk) + p2dt(jk) * ( zwy(ji,jj,jk) - zwy(ji,jj,jk+1) ) * ze3tr |
---|
| 136 | END DO |
---|
[1110] | 137 | END DO |
---|
[3] | 138 | END DO |
---|
[2528] | 139 | ! |
---|
[3] | 140 | END DO |
---|
| 141 | |
---|
[2528] | 142 | ! After tracer due to all trends |
---|
| 143 | ! ------------------------------ |
---|
| 144 | IF( lk_vvl ) THEN ! variable level thickness : leap-frog on tracer*e3t |
---|
| 145 | DO jk = 1, jpkm1 |
---|
| 146 | DO jj = 2, jpjm1 |
---|
| 147 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 148 | ze3tb = fse3t_b(ji,jj,jk) / fse3t(ji,jj,jk) ! before e3t |
---|
| 149 | ztra = zwx(ji,jj,jk) - ptb(ji,jj,jk,jn) + p2dt(jk) * pta(ji,jj,jk,jn) ! total trends * 2*rdt |
---|
| 150 | pta(ji,jj,jk,jn) = ( ze3tb * ptb(ji,jj,jk,jn) + ztra ) * tmask(ji,jj,jk) |
---|
| 151 | END DO |
---|
[3] | 152 | END DO |
---|
[1110] | 153 | END DO |
---|
[2528] | 154 | ELSE ! fixed level thickness : leap-frog on tracers |
---|
| 155 | DO jk = 1, jpkm1 |
---|
| 156 | DO jj = 2, jpjm1 |
---|
| 157 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 158 | pta(ji,jj,jk,jn) = ( zwx(ji,jj,jk) + p2dt(jk) * pta(ji,jj,jk,jn) ) * tmask(ji,jj,jk) |
---|
| 159 | END DO |
---|
[3] | 160 | END DO |
---|
| 161 | END DO |
---|
[2528] | 162 | ENDIF |
---|
| 163 | ! |
---|
| 164 | END DO |
---|
[1110] | 165 | ! |
---|
[2696] | 166 | IF( wrk_not_released(3, 6,7) ) CALL ctl_stop('tra_zdf_exp: failed to release workspace arrays') |
---|
[2590] | 167 | ! |
---|
[3] | 168 | END SUBROUTINE tra_zdf_exp |
---|
| 169 | |
---|
| 170 | !!============================================================================== |
---|
| 171 | END MODULE trazdf_exp |
---|