| 1 | MODULE dynldf_bilap_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!=========================================================================== |
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| 4 | !! *** MODULE dynldf_bilap_tam *** |
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| 5 | !! Ocean dynamics: lateral viscosity trend |
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| 6 | !! Tangent and Adjoint Module |
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| 7 | !!=========================================================================== |
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| 8 | |
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| 9 | !!--------------------------------------------------------------------------- |
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| 10 | !! dyn_ldf_bilap_tan : update the momentum trend with the lateral diffusion |
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| 11 | !! using an iso-level bilaplacian operator (tangent) |
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| 12 | !! dyn_ldf_bilap_adj : update the momentum trend with the lateral diffusion |
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| 13 | !! using an iso-level bilaplacian operator (adjoint) |
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| 14 | !!--------------------------------------------------------------------------- |
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| 15 | !! * Modules used |
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| 16 | USE par_kind , ONLY: & ! Precision variables |
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| 17 | & wp |
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| 18 | USE lbclnk , ONLY: & ! Boundary/halo exchange |
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| 19 | & lbc_lnk |
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| 20 | USE lbclnk_tam , ONLY: & ! Boundary/halo exchange (adjoint) |
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| 21 | & lbc_lnk_adj |
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| 22 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 23 | & jpi, & |
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| 24 | & jpj, & |
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| 25 | & jpk, & |
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| 26 | & jpim1, & |
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| 27 | & jpjm1, & |
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| 28 | & jpkm1 |
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| 29 | USE oce_tam , ONLY: & |
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| 30 | & ua_tl, & |
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| 31 | & va_tl, & |
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| 32 | & ua_ad, & |
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| 33 | & va_ad, & |
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| 34 | & rotb_tl, & |
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| 35 | & hdivb_tl, & |
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| 36 | & rotb_ad, & |
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| 37 | & hdivb_ad |
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| 38 | USE ldfdyn_oce , ONLY: & ! ocean dynamics: lateral physics |
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| 39 | & ahm3, & |
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| 40 | & ahm4, & |
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| 41 | & ahm0 |
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| 42 | USE dom_oce , ONLY: & ! Ocean space and time domain |
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| 43 | & ln_sco, & |
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| 44 | & ln_zps, & |
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| 45 | & fmask, & |
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| 46 | & e1u, & |
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| 47 | & e2u, & |
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| 48 | & e1v, & |
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| 49 | & e2v, & |
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| 50 | & e1t, & |
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| 51 | & e2t, & |
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| 52 | & e1f, & |
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| 53 | & e2f, & |
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| 54 | #if defined key_zco |
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| 55 | & e3t_0 |
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| 56 | #else |
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| 57 | & e3u, & |
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| 58 | & e3v, & |
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| 59 | & e3t, & |
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| 60 | & e3f |
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| 61 | #endif |
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| 62 | USE in_out_manager, ONLY: & ! I/O manager |
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| 63 | & lwp, & |
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| 64 | & numout, & |
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| 65 | & nit000, & |
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| 66 | & nitend |
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| 67 | |
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| 68 | IMPLICIT NONE |
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| 69 | PRIVATE |
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| 70 | |
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| 71 | !! * Routine accessibility |
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| 72 | PUBLIC dyn_ldf_bilap_tan ! called by dynldf_tam.F90 |
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| 73 | PUBLIC dyn_ldf_bilap_adj ! called by dynldf_tam.F90 |
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| 74 | |
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| 75 | !! * Substitutions |
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| 76 | # include "domzgr_substitute.h90" |
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| 77 | # include "ldfdyn_substitute.h90" |
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| 78 | # include "vectopt_loop_substitute.h90" |
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| 79 | !!---------------------------------------------------------------------- |
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| 80 | |
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| 81 | CONTAINS |
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| 82 | |
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| 83 | SUBROUTINE dyn_ldf_bilap_tan( kt ) |
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| 84 | !!---------------------------------------------------------------------- |
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| 85 | !! *** ROUTINE dyn_ldf_bilap_tan *** |
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| 86 | !! |
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| 87 | !! ** Purpose : Compute the before trend of the lateral momentum |
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| 88 | !! diffusion and add it to the general trend of momentum equation. |
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| 89 | !! |
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| 90 | !! ** Method : The before horizontal momentum diffusion trend is a |
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| 91 | !! bi-harmonic operator (bilaplacian type) which separates the |
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| 92 | !! divergent and rotational parts of the flow. |
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| 93 | !! Its horizontal components are computed as follow: |
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| 94 | !! laplacian: |
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| 95 | !! zlu = 1/e1u di[ hdivb ] - 1/(e2u*e3u) dj-1[ e3f rotb ] |
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| 96 | !! zlv = 1/e2v dj[ hdivb ] + 1/(e1v*e3v) di-1[ e3f rotb ] |
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| 97 | !! third derivative: |
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| 98 | !! * multiply by the eddy viscosity coef. at u-, v-point, resp. |
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| 99 | !! zlu = ahmu * zlu |
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| 100 | !! zlv = ahmv * zlv |
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| 101 | !! * curl and divergence of the laplacian |
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| 102 | !! zuf = 1/(e1f*e2f) ( di[e2v zlv] - dj[e1u zlu] ) |
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| 103 | !! zut = 1/(e1t*e2t*e3t) ( di[e2u*e3u zlu] + dj[e1v*e3v zlv] ) |
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| 104 | !! bilaplacian: |
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| 105 | !! diffu = 1/e1u di[ zut ] - 1/(e2u*e3u) dj-1[ e3f zuf ] |
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| 106 | !! diffv = 1/e2v dj[ zut ] + 1/(e1v*e3v) di-1[ e3f zuf ] |
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| 107 | !! If ln_sco=F and ln_zps=F, the vertical scale factors in the |
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| 108 | !! rotational part of the diffusion are simplified |
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| 109 | !! Add this before trend to the general trend (ua,va): |
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| 110 | !! (ua,va) = (ua,va) + (diffu,diffv) |
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| 111 | !! 'key_trddyn' defined: the two components of the horizontal |
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| 112 | !! diffusion trend are saved. |
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| 113 | !! |
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| 114 | !! ** Action : - Update (ua,va) with the before iso-level biharmonic |
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| 115 | !! mixing trend. |
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| 116 | !! |
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| 117 | !! History : |
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| 118 | !! ! 90-09 (G. Madec) Original code |
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| 119 | !! ! 91-11 (G. Madec) |
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| 120 | !! ! 93-03 (M. Guyon) symetrical conditions (M. Guyon) |
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| 121 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 122 | !! ! 97-07 (G. Madec) lbc calls |
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| 123 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 124 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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| 125 | !! History of the tangent routine |
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| 126 | !! 9.0 ! 09-12 (F. Vigilant) tangent of 9.0 |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | !! * Arguments |
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| 129 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 130 | !! * Local declarations |
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| 131 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 132 | REAL(wp) :: & |
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| 133 | zuatl, zvatl, zbt, ze2u, ze2v ! temporary scalars |
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| 134 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 135 | zcutl, zcvtl ! temporary workspace |
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| 136 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 137 | zuftl, zuttl, zlutl, zlvtl ! temporary workspace |
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| 138 | !!---------------------------------------------------------------------- |
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| 139 | |
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| 140 | IF( kt == nit000 ) THEN |
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| 141 | IF(lwp) WRITE(numout,*) |
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| 142 | IF(lwp) WRITE(numout,*) 'dyn_ldf_bilap_tan: iso-level bilaplacien operator' |
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| 143 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~~ ' |
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| 144 | ENDIF |
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| 145 | |
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| 146 | zuftl(:,:,:) = 0.0_wp |
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| 147 | zuttl(:,:,:) = 0.0_wp |
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| 148 | zlutl(:,:,:) = 0.0_wp |
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| 149 | zlvtl(:,:,:) = 0.0_wp |
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| 150 | ! ! =============== |
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| 151 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 152 | ! ! =============== |
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| 153 | ! Laplacian |
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| 154 | ! --------- |
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| 155 | |
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| 156 | IF( ln_sco .OR. ln_zps ) THEN ! s-coordinate or z-coordinate with partial steps |
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| 157 | zuftl(:,:,jk) = rotb_tl(:,:,jk) * fse3f(:,:,jk) |
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| 158 | DO jj = 2, jpjm1 |
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| 159 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 160 | zlutl(ji,jj,jk) = - ( zuftl(ji,jj,jk) - zuftl(ji,jj-1,jk) ) / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) & |
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| 161 | & + ( hdivb_tl(ji+1,jj,jk) - hdivb_tl(ji,jj,jk) ) / e1u(ji,jj) |
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| 162 | |
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| 163 | zlvtl(ji,jj,jk) = + ( zuftl(ji,jj,jk) - zuftl(ji-1,jj,jk) ) / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) & |
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| 164 | & + ( hdivb_tl(ji,jj+1,jk) - hdivb_tl(ji,jj,jk) ) / e2v(ji,jj) |
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| 165 | END DO |
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| 166 | END DO |
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| 167 | ELSE ! z-coordinate - full step |
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| 168 | DO jj = 2, jpjm1 |
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| 169 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 170 | zlutl(ji,jj,jk) = - ( rotb_tl (ji ,jj,jk) - rotb_tl (ji,jj-1,jk) ) / e2u(ji,jj) & |
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| 171 | & + ( hdivb_tl(ji+1,jj,jk) - hdivb_tl(ji,jj ,jk) ) / e1u(ji,jj) |
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| 172 | |
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| 173 | zlvtl(ji,jj,jk) = + ( rotb_tl (ji,jj ,jk) - rotb_tl (ji-1,jj,jk) ) / e1v(ji,jj) & |
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| 174 | & + ( hdivb_tl(ji,jj+1,jk) - hdivb_tl(ji ,jj,jk) ) / e2v(ji,jj) |
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| 175 | END DO |
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| 176 | END DO |
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| 177 | ENDIF |
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| 178 | ENDDO |
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| 179 | |
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| 180 | ! Boundary conditions on the laplacian (zlu,zlv) |
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| 181 | CALL lbc_lnk( zlutl, 'U', -1.0_wp ) |
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| 182 | CALL lbc_lnk( zlvtl, 'V', -1.0_wp ) |
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| 183 | |
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| 184 | DO jk = 1, jpkm1 |
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| 185 | |
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| 186 | ! Third derivative |
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| 187 | ! ---------------- |
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| 188 | |
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| 189 | ! Multiply by the eddy viscosity coef. (at u- and v-points) |
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| 190 | zlutl(:,:,jk) = zlutl(:,:,jk) * fsahmu(:,:,jk) |
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| 191 | zlvtl(:,:,jk) = zlvtl(:,:,jk) * fsahmv(:,:,jk) |
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| 192 | |
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| 193 | ! Contravariant "laplacian" |
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| 194 | zcutl(:,:) = e1u(:,:) * zlutl(:,:,jk) |
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| 195 | zcvtl(:,:) = e2v(:,:) * zlvtl(:,:,jk) |
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| 196 | |
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| 197 | ! Laplacian curl ( * e3f if s-coordinates or z-coordinate with partial steps) |
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| 198 | DO jj = 1, jpjm1 |
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| 199 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 200 | zuftl(ji,jj,jk) = fmask(ji,jj,jk) * ( zcvtl(ji+1,jj ) - zcvtl(ji,jj) & |
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| 201 | & - zcutl(ji ,jj+1) + zcutl(ji,jj) ) & |
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| 202 | #if defined key_zco |
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| 203 | & / ( e1f(ji,jj)*e2f(ji,jj) ) |
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| 204 | #else |
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| 205 | & * fse3f(ji,jj,jk) / ( e1f(ji,jj)*e2f(ji,jj) ) |
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| 206 | #endif |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | |
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| 210 | ! Laplacian Horizontal fluxes |
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| 211 | DO jj = 1, jpjm1 |
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| 212 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 213 | #if defined key_zco |
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| 214 | zlutl(ji,jj,jk) = e2u(ji,jj) * zlutl(ji,jj,jk) |
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| 215 | zlvtl(ji,jj,jk) = e1v(ji,jj) * zlvtl(ji,jj,jk) |
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| 216 | #else |
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| 217 | zlutl(ji,jj,jk) = e2u(ji,jj) * fse3u(ji,jj,jk) * zlutl(ji,jj,jk) |
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| 218 | zlvtl(ji,jj,jk) = e1v(ji,jj) * fse3v(ji,jj,jk) * zlvtl(ji,jj,jk) |
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| 219 | #endif |
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| 220 | END DO |
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| 221 | END DO |
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| 222 | |
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| 223 | ! Laplacian divergence |
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| 224 | DO jj = 2, jpj |
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| 225 | DO ji = fs_2, jpi ! vector opt. |
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| 226 | #if defined key_zco |
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| 227 | zbt = e1t(ji,jj) * e2t(ji,jj) |
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| 228 | #else |
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| 229 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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| 230 | #endif |
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| 231 | zuttl(ji,jj,jk) = ( zlutl(ji,jj,jk) - zlutl(ji-1,jj ,jk) & |
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| 232 | & + zlvtl(ji,jj,jk) - zlvtl(ji ,jj-1,jk) ) / zbt |
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| 233 | END DO |
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| 234 | END DO |
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| 235 | END DO |
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| 236 | |
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| 237 | ! boundary conditions on the laplacian curl and div (zuf,zut) |
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| 238 | !!bug gm no need to do this 2 following lbc... |
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| 239 | CALL lbc_lnk( zuftl, 'F', 1.0_wp ) |
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| 240 | CALL lbc_lnk( zuttl, 'T', 1.0_wp ) |
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| 241 | |
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| 242 | DO jk = 1, jpkm1 |
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| 243 | |
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| 244 | ! Bilaplacian |
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| 245 | ! ----------- |
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| 246 | |
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| 247 | DO jj = 2, jpjm1 |
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| 248 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 249 | #if defined key_zco |
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| 250 | ze2u = e2u(ji,jj) |
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| 251 | ze2v = e1v(ji,jj) |
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| 252 | #else |
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| 253 | ze2u = e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 254 | ze2v = e1v(ji,jj) * fse3v(ji,jj,jk) |
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| 255 | #endif |
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| 256 | ! horizontal biharmonic diffusive trends |
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| 257 | zuatl = - ( zuftl(ji ,jj,jk) - zuftl(ji,jj-1,jk) ) / ze2u & |
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| 258 | & + ( zuttl(ji+1,jj,jk) - zuttl(ji,jj ,jk) ) / e1u(ji,jj) |
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| 259 | |
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| 260 | zvatl = + ( zuftl(ji,jj ,jk) - zuftl(ji-1,jj,jk) ) / ze2v & |
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| 261 | & + ( zuttl(ji,jj+1,jk) - zuttl(ji ,jj,jk) ) / e2v(ji,jj) |
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| 262 | ! add it to the general momentum trends |
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| 263 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zuatl |
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| 264 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zvatl |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | |
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| 268 | ! ! =============== |
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| 269 | END DO ! End of slab |
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| 270 | ! ! =============== |
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| 271 | |
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| 272 | END SUBROUTINE dyn_ldf_bilap_tan |
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| 273 | |
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| 274 | |
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| 275 | SUBROUTINE dyn_ldf_bilap_adj( kt ) |
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| 276 | !!---------------------------------------------------------------------- |
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| 277 | !! *** ROUTINE dyn_ldf_bilap_adj *** |
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| 278 | !! |
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| 279 | !! ** Purpose : Compute the before trend of the lateral momentum |
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| 280 | !! diffusion and add it to the general trend of momentum equation. |
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| 281 | !! |
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| 282 | !! ** Method : The before horizontal momentum diffusion trend is a |
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| 283 | !! bi-harmonic operator (bilaplacian type) which separates the |
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| 284 | !! divergent and rotational parts of the flow. |
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| 285 | !! Its horizontal components are computed as follow: |
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| 286 | !! laplacian: |
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| 287 | !! zlu = 1/e1u di[ hdivb ] - 1/(e2u*e3u) dj-1[ e3f rotb ] |
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| 288 | !! zlv = 1/e2v dj[ hdivb ] + 1/(e1v*e3v) di-1[ e3f rotb ] |
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| 289 | !! third derivative: |
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| 290 | !! * multiply by the eddy viscosity coef. at u-, v-point, resp. |
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| 291 | !! zlu = ahmu * zlu |
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| 292 | !! zlv = ahmv * zlv |
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| 293 | !! * curl and divergence of the laplacian |
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| 294 | !! zuf = 1/(e1f*e2f) ( di[e2v zlv] - dj[e1u zlu] ) |
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| 295 | !! zut = 1/(e1t*e2t*e3t) ( di[e2u*e3u zlu] + dj[e1v*e3v zlv] ) |
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| 296 | !! bilaplacian: |
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| 297 | !! diffu = 1/e1u di[ zut ] - 1/(e2u*e3u) dj-1[ e3f zuf ] |
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| 298 | !! diffv = 1/e2v dj[ zut ] + 1/(e1v*e3v) di-1[ e3f zuf ] |
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| 299 | !! If ln_sco=F and ln_zps=F, the vertical scale factors in the |
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| 300 | !! rotational part of the diffusion are simplified |
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| 301 | !! Add this before trend to the general trend (ua,va): |
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| 302 | !! (ua,va) = (ua,va) + (diffu,diffv) |
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| 303 | !! 'key_trddyn' defined: the two components of the horizontal |
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| 304 | !! diffusion trend are saved. |
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| 305 | !! |
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| 306 | !! ** Action : - Update (ua,va) with the before iso-level biharmonic |
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| 307 | !! mixing trend. |
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| 308 | !! |
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| 309 | !! History : |
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| 310 | !! ! 90-09 (G. Madec) Original code |
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| 311 | !! ! 91-11 (G. Madec) |
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| 312 | !! ! 93-03 (M. Guyon) symetrical conditions (M. Guyon) |
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| 313 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 314 | !! ! 97-07 (G. Madec) lbc calls |
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| 315 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 316 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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| 317 | !! History of the adjoint routine |
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| 318 | !! 9.0 ! 09-12 (F. Vigilant) adjoint of 9.0 |
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| 319 | !!---------------------------------------------------------------------- |
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| 320 | !! * Arguments |
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| 321 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 322 | !! * Local declarations |
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| 323 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 324 | REAL(wp) :: & |
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| 325 | zuaad, zvaad, zbt, ze2u, ze2v ! temporary scalars |
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| 326 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 327 | zcuad, zcvad ! temporary workspace |
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| 328 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 329 | zufad, zutad, zluad, zlvad ! temporary workspace |
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| 330 | !!---------------------------------------------------------------------- |
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| 331 | |
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| 332 | IF( kt == nitend ) THEN |
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| 333 | IF(lwp) WRITE(numout,*) |
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| 334 | IF(lwp) WRITE(numout,*) 'dyn_ldf_bilap_adj: bilaplacien operator' |
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| 335 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~~~ ' |
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| 336 | ENDIF |
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| 337 | |
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| 338 | zuaad = 0.0_wp |
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| 339 | zvaad = 0.0_wp |
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| 340 | |
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| 341 | zufad(:,:,:) = 0.0_wp |
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| 342 | zutad(:,:,:) = 0.0_wp |
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| 343 | zluad(:,:,:) = 0.0_wp |
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| 344 | zlvad(:,:,:) = 0.0_wp |
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| 345 | |
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| 346 | zcvad(:,:) = 0.0_wp |
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| 347 | zcuad(:,:) = 0.0_wp |
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| 348 | |
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| 349 | DO jk = 1, jpkm1 |
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| 350 | |
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| 351 | ! Bilaplacian |
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| 352 | ! ----------- |
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| 353 | |
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| 354 | DO jj = jpjm1, 2, -1 |
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| 355 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 356 | #if defined key_zco |
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| 357 | ze2u = e2u(ji,jj) |
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| 358 | ze2v = e1v(ji,jj) |
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| 359 | #else |
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| 360 | ze2u = e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 361 | ze2v = e1v(ji,jj) * fse3v(ji,jj,jk) |
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| 362 | #endif |
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| 363 | ! add it to the general momentum trends |
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| 364 | zvaad = zvaad + va_ad(ji,jj,jk) |
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| 365 | zuaad = zuaad + ua_ad(ji,jj,jk) |
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| 366 | |
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| 367 | ! horizontal biharmonic diffusive trends |
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| 368 | zufad(ji ,jj ,jk) = zufad(ji ,jj ,jk) + zvaad / ze2v |
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| 369 | zufad(ji-1,jj ,jk) = zufad(ji-1,jj ,jk) - zvaad / ze2v |
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| 370 | zutad(ji ,jj ,jk) = zutad(ji ,jj ,jk) - zvaad / e2v(ji,jj) |
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| 371 | zutad(ji ,jj+1,jk) = zutad(ji ,jj+1,jk) + zvaad / e2v(ji,jj) |
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| 372 | |
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| 373 | zufad(ji ,jj ,jk) = zufad(ji ,jj ,jk) - zuaad / ze2u |
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| 374 | zufad(ji ,jj-1,jk) = zufad(ji ,jj-1,jk) + zuaad / ze2u |
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| 375 | zutad(ji ,jj ,jk) = zutad(ji ,jj ,jk) - zuaad / e1u(ji,jj) |
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| 376 | zutad(ji+1,jj ,jk) = zutad(ji+1,jj ,jk) + zuaad / e1u(ji,jj) |
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| 377 | |
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| 378 | zuaad = 0.0_wp |
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| 379 | zvaad = 0.0_wp |
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| 380 | END DO |
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| 381 | END DO |
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| 382 | |
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| 383 | ! ! =============== |
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| 384 | END DO ! End of slab |
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| 385 | ! ! =============== |
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| 386 | |
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| 387 | ! boundary conditions on the laplacian curl and div (zuf,zut) |
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| 388 | !!bug gm no need to do this 2 following lbc... |
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| 389 | CALL lbc_lnk_adj( zutad, 'T', 1.0_wp ) |
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| 390 | CALL lbc_lnk_adj( zufad, 'F', 1.0_wp ) |
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| 391 | |
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| 392 | DO jk = 1, jpkm1 |
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| 393 | |
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| 394 | ! Third derivative |
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| 395 | ! ---------------- |
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| 396 | |
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| 397 | ! Laplacian divergence |
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| 398 | DO jj = jpj, 2, -1 |
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| 399 | DO ji = jpi, fs_2, -1 ! vector opt. |
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| 400 | #if defined key_zco |
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| 401 | zbt = e1t(ji,jj) * e2t(ji,jj) |
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| 402 | #else |
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| 403 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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| 404 | #endif |
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| 405 | zluad(ji ,jj ,jk) = zluad(ji ,jj ,jk) + zutad(ji,jj,jk) / zbt |
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| 406 | zluad(ji-1,jj ,jk) = zluad(ji-1,jj ,jk) - zutad(ji,jj,jk) / zbt |
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| 407 | zlvad(ji ,jj ,jk) = zlvad(ji ,jj ,jk) + zutad(ji,jj,jk) / zbt |
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| 408 | zlvad(ji ,jj-1,jk) = zlvad(ji ,jj-1,jk) - zutad(ji,jj,jk) / zbt |
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| 409 | |
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| 410 | zutad(ji,jj,jk) = 0.0_wp |
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| 411 | END DO |
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| 412 | END DO |
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| 413 | |
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| 414 | ! Laplacian Horizontal fluxes |
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| 415 | DO jj = jpjm1, 1, -1 |
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| 416 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
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| 417 | #if defined key_zco |
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| 418 | zluad(ji,jj,jk) = e2u(ji,jj) * zluad(ji,jj,jk) |
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| 419 | zlvad(ji,jj,jk) = e1v(ji,jj) * zlvad(ji,jj,jk) |
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| 420 | #else |
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| 421 | zluad(ji,jj,jk) = e2u(ji,jj) * fse3u(ji,jj,jk) * zluad(ji,jj,jk) |
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| 422 | zlvad(ji,jj,jk) = e1v(ji,jj) * fse3v(ji,jj,jk) * zlvad(ji,jj,jk) |
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| 423 | #endif |
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| 424 | END DO |
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| 425 | END DO |
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| 426 | |
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| 427 | ! Laplacian curl ( * e3f if s-coordinates or z-coordinate with partial steps) |
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| 428 | DO jj = jpjm1, 1, -1 |
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| 429 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
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| 430 | #if defined key_zco |
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| 431 | zufad(ji,jj,jk) = fmask(ji,jj,jk) * zufad(ji,jj,jk) / ( e1f(ji,jj)*e2f(ji,jj) ) |
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| 432 | #else |
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| 433 | zufad(ji,jj,jk) = fmask(ji,jj,jk) * zufad(ji,jj,jk) * fse3f(ji,jj,jk) / ( e1f(ji,jj)*e2f(ji,jj) ) |
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| 434 | #endif |
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| 435 | zcvad(ji ,jj ) = zcvad(ji ,jj ) - zufad(ji,jj,jk) |
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| 436 | zcvad(ji+1,jj ) = zcvad(ji+1,jj ) + zufad(ji,jj,jk) |
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| 437 | zcuad(ji ,jj ) = zcuad(ji ,jj ) + zufad(ji,jj,jk) |
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| 438 | zcuad(ji ,jj+1) = zcuad(ji ,jj+1) - zufad(ji,jj,jk) |
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| 439 | |
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| 440 | zufad(ji,jj,jk) = 0.0_wp |
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| 441 | END DO |
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| 442 | END DO |
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| 443 | |
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| 444 | ! Contravariant "laplacian" |
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| 445 | DO jj = 1, jpj |
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| 446 | DO ji = 1, jpi |
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| 447 | zlvad(ji,jj,jk) = zlvad(ji,jj,jk) + e2v(ji,jj) * zcvad(ji,jj) |
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| 448 | zluad(ji,jj,jk) = zluad(ji,jj,jk) + e1u(ji,jj) * zcuad(ji,jj) |
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| 449 | zcvad(ji,jj) = 0.0_wp |
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| 450 | zcuad(ji,jj) = 0.0_wp |
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| 451 | END DO |
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| 452 | END DO |
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| 453 | |
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| 454 | ! Multiply by the eddy viscosity coef. (at u- and v-points) |
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| 455 | zluad(:,:,jk) = zluad(:,:,jk) * fsahmu(:,:,jk) |
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| 456 | zlvad(:,:,jk) = zlvad(:,:,jk) * fsahmv(:,:,jk) |
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| 457 | |
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| 458 | END DO |
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| 459 | |
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| 460 | ! Boundary conditions on the laplacian (zlu,zlv) |
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| 461 | CALL lbc_lnk_adj( zlvad, 'V', -1.0_wp ) |
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| 462 | CALL lbc_lnk_adj( zluad, 'U', -1.0_wp ) |
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| 463 | |
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| 464 | ! ! =============== |
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| 465 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 466 | ! ! =============== |
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| 467 | ! Laplacian |
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| 468 | ! --------- |
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| 469 | |
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| 470 | IF( ln_sco .OR. ln_zps ) THEN ! s-coordinate or z-coordinate with partial steps |
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| 471 | DO jj = jpjm1, 2, -1 |
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| 472 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 473 | zufad (ji ,jj ,jk) = zufad (ji ,jj ,jk) + zlvad(ji ,jj ,jk) / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 474 | zufad (ji-1,jj ,jk) = zufad (ji-1,jj ,jk) - zlvad(ji ,jj ,jk) / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 475 | hdivb_ad(ji ,jj ,jk) = hdivb_ad(ji ,jj ,jk) - zlvad(ji,jj,jk) / e2v(ji,jj) |
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| 476 | hdivb_ad(ji ,jj+1,jk) = hdivb_ad(ji ,jj+1,jk) + zlvad(ji,jj,jk) / e2v(ji,jj) |
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| 477 | zlvad(ji,jj,jk) = 0.0_wp |
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| 478 | |
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| 479 | zufad (ji ,jj ,jk) = zufad (ji ,jj ,jk) - zluad(ji ,jj ,jk) / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 480 | zufad (ji ,jj-1,jk) = zufad (ji ,jj-1,jk) + zluad(ji ,jj ,jk) / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 481 | hdivb_ad(ji ,jj ,jk) = hdivb_ad(ji ,jj ,jk) - zluad(ji,jj,jk) / e1u(ji,jj) |
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| 482 | hdivb_ad(ji+1,jj ,jk) = hdivb_ad(ji+1,jj ,jk) + zluad(ji,jj,jk) / e1u(ji,jj) |
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| 483 | zluad(ji,jj,jk) = 0.0_wp |
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| 484 | END DO |
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| 485 | END DO |
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| 486 | rotb_ad(:,:,jk) = rotb_ad(:,:,jk) + zufad(:,:,jk) * fse3f(:,:,jk) |
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| 487 | ELSE ! z-coordinate - full step |
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| 488 | DO jj = jpjm1, 2, -1 |
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| 489 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 490 | rotb_ad (ji ,jj ,jk) = rotb_ad (ji ,jj ,jk) + zlvad(ji,jj,jk) / e1v(ji,jj) |
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| 491 | rotb_ad (ji-1,jj ,jk) = rotb_ad (ji-1,jj ,jk) - zlvad(ji,jj,jk) / e1v(ji,jj) |
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| 492 | hdivb_ad(ji ,jj ,jk) = hdivb_ad(ji ,jj ,jk) - zlvad(ji,jj,jk) / e2v(ji,jj) |
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| 493 | hdivb_ad(ji ,jj+1,jk) = hdivb_ad(ji ,jj+1,jk) + zlvad(ji,jj,jk) / e2v(ji,jj) |
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| 494 | zlvad(ji,jj,jk) = 0.0_wp |
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| 495 | |
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| 496 | rotb_ad (ji ,jj ,jk) = rotb_ad (ji ,jj ,jk) - zluad(ji,jj,jk) / e2u(ji,jj) |
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| 497 | rotb_ad (ji ,jj-1,jk) = rotb_ad (ji ,jj-1,jk) + zluad(ji,jj,jk) / e2u(ji,jj) |
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| 498 | hdivb_ad(ji ,jj ,jk) = hdivb_ad(ji ,jj ,jk) - zluad(ji,jj,jk) / e1u(ji,jj) |
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| 499 | hdivb_ad(ji+1,jj ,jk) = hdivb_ad(ji+1,jj ,jk) + zluad(ji,jj,jk) / e1u(ji,jj) |
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| 500 | zlvad(ji,jj,jk) = 0.0_wp |
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| 501 | END DO |
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| 502 | END DO |
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| 503 | ENDIF |
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| 504 | ENDDO |
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| 505 | |
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| 506 | END SUBROUTINE dyn_ldf_bilap_adj |
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| 507 | |
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| 508 | !!====================================================================== |
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| 509 | #endif |
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| 510 | END MODULE dynldf_bilap_tam |
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