[643] | 1 | MODULE dynadv_cen2 |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE dynadv *** |
---|
| 4 | !! Ocean dynamics: Update the momentum trend with the flux form advection |
---|
| 5 | !! using a 2nd order centred scheme |
---|
| 6 | !!====================================================================== |
---|
| 7 | !! History : 9.0 ! 06-08 (G. Madec, S. Theetten) Original code |
---|
| 8 | !!---------------------------------------------------------------------- |
---|
| 9 | |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
| 11 | !! dyn_adv_cen2 : flux form momentum advection (ln_dynadv_cen2=T) |
---|
| 12 | !! trends using a 2nd order centred scheme |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | USE oce ! ocean dynamics and tracers |
---|
| 15 | USE dom_oce ! ocean space and time domain |
---|
| 16 | USE dynspg_oce ! surface pressure gradient |
---|
| 17 | USE in_out_manager ! I/O manager |
---|
| 18 | USE dynspg_rl ! I/O manager |
---|
| 19 | |
---|
| 20 | IMPLICIT NONE |
---|
| 21 | PRIVATE |
---|
| 22 | |
---|
| 23 | !! * Routine accessibility |
---|
| 24 | PUBLIC dyn_adv_cen2 ! routine called by step.F90 |
---|
| 25 | |
---|
| 26 | !! * Substitutions |
---|
| 27 | # include "domzgr_substitute.h90" |
---|
| 28 | # include "vectopt_loop_substitute.h90" |
---|
| 29 | !!---------------------------------------------------------------------- |
---|
| 30 | !! OPA 9.0 , LODYC-IPSL (2006) |
---|
[699] | 31 | !! $Id$ |
---|
[643] | 32 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
---|
| 33 | !!---------------------------------------------------------------------- |
---|
| 34 | |
---|
| 35 | CONTAINS |
---|
| 36 | |
---|
| 37 | SUBROUTINE dyn_adv_cen2( kt ) |
---|
| 38 | !!---------------------------------------------------------------------- |
---|
| 39 | !! *** ROUTINE dyn_adv_cen2 *** |
---|
| 40 | !! |
---|
| 41 | !! ** Purpose : Compute the now momentum advection trend in flux form |
---|
| 42 | !! and the general trend of the momentum equation. |
---|
| 43 | !! |
---|
| 44 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
| 45 | !! |
---|
| 46 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
| 47 | !! - save the trends in (utrd,vtrd) in 2 parts (relative |
---|
| 48 | !! and planetary vorticity trends) ('key_trddyn') |
---|
| 49 | !!---------------------------------------------------------------------- |
---|
| 50 | USE oce, ONLY: zfu => ta, & ! use ta as 3D workspace |
---|
| 51 | zfv => sa ! use sa as 3D workspace |
---|
| 52 | |
---|
| 53 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 54 | |
---|
| 55 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 56 | REAL(wp) :: zua, zva, zbu, zbv ! temporary scalars |
---|
| 57 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfu_t, zfu_f, zfu_uw ! 3D workspace |
---|
| 58 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfv_t, zfv_f, zfv_vw ! " " |
---|
| 59 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zfw ! " " |
---|
| 60 | !!---------------------------------------------------------------------- |
---|
| 61 | |
---|
| 62 | IF( kt == nit000 ) THEN |
---|
| 63 | IF(lwp) WRITE(numout,*) |
---|
| 64 | IF(lwp) WRITE(numout,*) 'dyn_adv_cen2 : 2nd order flux form momentum advection' |
---|
| 65 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 66 | ENDIF |
---|
| 67 | |
---|
| 68 | |
---|
| 69 | ! I. Horizontal advection |
---|
| 70 | ! ----------------------- |
---|
| 71 | ! ! =============== |
---|
| 72 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 73 | ! ! =============== |
---|
| 74 | ! horizontal volume fluxes |
---|
| 75 | zfu(:,:,jk) = 0.25 * e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
| 76 | zfv(:,:,jk) = 0.25 * e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
| 77 | |
---|
| 78 | ! horizontal momentum fluxes at T- and F-point |
---|
| 79 | DO jj = 1, jpjm1 |
---|
| 80 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 81 | zfu_t(ji+1,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji+1,jj ,jk) ) |
---|
| 82 | zfv_f(ji ,jj ,jk) = ( zfv(ji,jj,jk) + zfv(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji ,jj+1,jk) ) |
---|
| 83 | zfu_f(ji ,jj ,jk) = ( zfu(ji,jj,jk) + zfu(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji+1,jj ,jk) ) |
---|
| 84 | zfv_t(ji ,jj+1,jk) = ( zfv(ji,jj,jk) + zfv(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji ,jj+1,jk) ) |
---|
| 85 | END DO |
---|
| 86 | END DO |
---|
| 87 | |
---|
| 88 | ! divergence of horizontal momentum fluxes |
---|
| 89 | DO jj = 2, jpjm1 |
---|
| 90 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 91 | zbu = e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
| 92 | zbv = e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) |
---|
| 93 | ! horizontal advective trends |
---|
| 94 | zua = - ( zfu_t(ji+1,jj ,jk) - zfu_t(ji ,jj ,jk) & |
---|
| 95 | & + zfv_f(ji ,jj ,jk) - zfv_f(ji ,jj-1,jk) ) / zbu |
---|
| 96 | zva = - ( zfu_f(ji ,jj ,jk) - zfu_f(ji-1,jj ,jk) & |
---|
| 97 | & + zfv_t(ji ,jj+1,jk) - zfv_t(ji ,jj ,jk) ) / zbv |
---|
| 98 | ! add it to the general tracer trends |
---|
| 99 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
---|
| 100 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
---|
| 101 | #if defined key_trddyn |
---|
| 102 | utrd(ji,jj,jk,1) = zua ! save the horizontal advective trend of momentum |
---|
| 103 | vtrd(ji,jj,jk,1) = zva |
---|
| 104 | #endif |
---|
| 105 | END DO |
---|
| 106 | END DO |
---|
| 107 | ! ! =============== |
---|
| 108 | END DO ! End of slab |
---|
| 109 | ! ! =============== |
---|
| 110 | |
---|
| 111 | |
---|
| 112 | ! II. Vertical advection |
---|
| 113 | ! ---------------------- |
---|
| 114 | |
---|
| 115 | ! Second order centered tracer flux at w-point |
---|
| 116 | DO jk = 1, jpkm1 |
---|
| 117 | ! Vertical volume fluxes |
---|
| 118 | zfw(:,:,jk) = 0.25 * e1t(:,:) * e2t(:,:) * wn(:,:,jk) |
---|
| 119 | ! Vertical advective fluxes |
---|
| 120 | IF( jk == 1 ) THEN |
---|
| 121 | zfu_uw(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
---|
| 122 | zfv_vw(:,:,jpk) = 0.e0 |
---|
| 123 | ! ! Surface value |
---|
| 124 | IF( lk_dynspg_rl ) THEN ! rigid lid : flux set to zero |
---|
| 125 | zfu_uw(:,:, 1 ) = 0.e0 |
---|
| 126 | zfv_vw(:,:, 1 ) = 0.e0 |
---|
| 127 | ELSE ! free surface-constant volume |
---|
| 128 | DO jj = 2, jpjm1 |
---|
| 129 | DO ji = fs_2, fs_jpim1 |
---|
| 130 | zfu_uw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji+1,jj ,1) ) * un(ji,jj,1) |
---|
| 131 | zfv_vw(ji,jj, 1 ) = 2.e0 * ( zfw(ji,jj,1) + zfw(ji ,jj+1,1) ) * vn(ji,jj,1) |
---|
| 132 | END DO |
---|
| 133 | END DO |
---|
| 134 | ENDIF |
---|
| 135 | ELSE |
---|
| 136 | ! ! interior fluxes |
---|
| 137 | DO jj = 2, jpjm1 |
---|
| 138 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 139 | zfu_uw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji+1,jj ,jk) ) * ( un(ji,jj,jk) + un(ji,jj,jk-1) ) |
---|
| 140 | zfv_vw(ji,jj,jk) = ( zfw(ji,jj,jk)+ zfw(ji ,jj+1,jk) ) * ( vn(ji,jj,jk) + vn(ji,jj,jk-1) ) |
---|
| 141 | END DO |
---|
| 142 | END DO |
---|
| 143 | ENDIF |
---|
| 144 | END DO |
---|
| 145 | |
---|
| 146 | ! momentum flux divergence at u-, v-points added to the general trend |
---|
| 147 | DO jk = 1, jpkm1 |
---|
| 148 | DO jj = 2, jpjm1 |
---|
| 149 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 150 | zua = - ( zfu_uw(ji,jj,jk) - zfu_uw(ji,jj,jk+1) ) & |
---|
| 151 | & / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
---|
| 152 | zva = - ( zfv_vw(ji,jj,jk) - zfv_vw(ji,jj,jk+1) ) & |
---|
| 153 | & / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
---|
| 154 | ! add it to the general tracer trends |
---|
| 155 | ua(ji,jj,jk) = ua(ji,jj,jk) + zua |
---|
| 156 | va(ji,jj,jk) = va(ji,jj,jk) + zva |
---|
| 157 | END DO |
---|
| 158 | END DO |
---|
| 159 | END DO |
---|
| 160 | |
---|
| 161 | END SUBROUTINE dyn_adv_cen2 |
---|
| 162 | |
---|
| 163 | !!============================================================================== |
---|
| 164 | END MODULE dynadv_cen2 |
---|