[3611] | 1 | MODULE divcur_tam |
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| 2 | #if defined key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE divcur_tam : TANGENT/ADJOINT OF MODULE divcur *** |
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| 5 | !! |
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| 6 | !! Ocean diagnostic variable : horizontal divergence and relative vorticity |
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| 7 | !! |
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| 8 | !! History : OPA ! 1987-06 (P. Andrich, D. L Hostis) Original code |
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| 9 | !! 4.0 ! 1991-11 (G. Madec) |
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| 10 | !! 6.0 ! 1993-03 (M. Guyon) symetrical conditions |
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| 11 | !! 7.0 ! 1996-01 (G. Madec) s-coordinates |
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| 12 | !! 8.0 ! 1997-06 (G. Madec) lateral boundary cond., lbc |
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| 13 | !! 8.1 ! 1997-08 (J.M. Molines) Open boundaries |
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| 14 | !! 8.2 ! 2000-03 (G. Madec) no slip accurate |
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| 15 | !! NEMO 1.0 ! 2002-09 (G. Madec, E. Durand) Free form, F90 |
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| 16 | !! - ! 2005-01 (J. Chanut) Unstructured open boundaries |
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| 17 | !! - ! 2003-08 (G. Madec) merged of cur and div, free form, F90 |
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| 18 | !! - ! 2005-01 (J. Chanut, A. Sellar) unstructured open boundaries |
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| 19 | !! 3.3 ! 2010-09 (D.Storkey and E.O'Dea) bug fixes for BDY module |
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| 20 | !! - ! 2010-10 (R. Furner, G. Madec) runoff and cla added directly here |
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| 21 | !!============================================================================== |
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| 22 | !! History of the TAM module: |
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| 23 | !! 7.0 ! 95-01 (F. Van den Berghe) |
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| 24 | !! 8.0 ! 96-04 (A. Weaver) |
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| 25 | !! 8.1 ! 98-02 (A. Weaver) |
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| 26 | !! 8.2 ! 00-08 (A. Weaver) |
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| 27 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 28 | !! 9.0 ! 08-07 (A. Weaver) |
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| 29 | !! 9.0 ! 08-11 (A. Vidard) Nemo v3 |
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| 30 | !! 9.0 ! 09-02 (A. Vidard) cleanup |
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| 31 | !! 9.0 ! 07-12 (P.-A. Bouttier) Nemo v3.4 |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! div_cur_tan : Compute the horizontal divergence and relative |
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| 34 | !! vorticity fields (tangent routine) |
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| 35 | !! div_cur_adj : Compute the horizontal divergence and relative |
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| 36 | !! vorticity fields (adjoint routine) |
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| 37 | !! div_cur_adj_tst : Test of the adjoint routine |
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| 38 | !!---------------------------------------------------------------------- |
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| 39 | !! * Modules used |
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| 40 | USE par_kind |
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| 41 | USE par_oce |
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| 42 | USE in_out_manager |
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| 43 | USE dom_oce |
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[3627] | 44 | USE sbc_oce |
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[3611] | 45 | USE lbclnk |
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| 46 | USE lbclnk_tam |
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| 47 | USE oce_tam |
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| 48 | USE gridrandom |
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| 49 | USE dotprodfld |
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| 50 | USE tstool_tam |
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| 51 | USE lib_mpp ! MPP library |
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| 52 | USE wrk_nemo ! Memory Allocation |
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| 53 | USE timing ! Timing |
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| 54 | USE cla_tam |
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| 55 | USE sbcrnf_tam |
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| 56 | |
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| 57 | PRIVATE |
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| 58 | |
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| 59 | !! * Accessibility |
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| 60 | PUBLIC div_cur_tan, & ! routine called by steptan.F90 |
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| 61 | & div_cur_adj, & ! routine called by stepadj.F90 |
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| 62 | & div_cur_adj_tst ! adjoint test routine |
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| 63 | |
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| 64 | !! * Substitutions |
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| 65 | # include "domzgr_substitute.h90" |
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| 66 | # include "vectopt_loop_substitute.h90" |
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| 67 | |
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| 68 | CONTAINS |
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| 69 | |
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| 70 | #if defined key_noslip_accurate |
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| 71 | !!---------------------------------------------------------------------- |
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| 72 | !! 'key_noslip_accurate' 2nd order centered scheme |
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| 73 | !! 4th order at the coast |
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| 74 | !!---------------------------------------------------------------------- |
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| 75 | |
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| 76 | SUBROUTINE div_cur_tan( kt ) |
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| 77 | !!---------------------------------------------------------------------- |
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| 78 | !! *** ROUTINE div_cur_tan *** |
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| 79 | !! |
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| 80 | !! ** Purpose of direct routine : |
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| 81 | !! compute the horizontal divergence and the relative |
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| 82 | !! vorticity at before and now time-step |
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| 83 | !! |
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| 84 | !! ** Method of direct routine : |
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| 85 | !! I. divergence : |
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| 86 | !! - save the divergence computed at the previous time-step |
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| 87 | !! (note that the Asselin filter has not been applied on hdivb) |
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| 88 | !! - compute the now divergence given by : |
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| 89 | !! hdivn = 1/(e1t*e2t*e3t) ( di[e2u*e3u un] + dj[e1v*e3v vn] ) |
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| 90 | !! Note: if lk_zco=T, e3u=e3v=e3t, they are simplified in the |
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| 91 | !! above expression |
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| 92 | !! - apply lateral boundary conditions on hdivn |
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| 93 | !! II. vorticity : |
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| 94 | !! - save the curl computed at the previous time-step |
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| 95 | !! rotb = rotn |
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| 96 | !! (note that the Asselin time filter has not been applied to rotb) |
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| 97 | !! - compute the now curl in tensorial formalism: |
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| 98 | !! rotn = 1/(e1f*e2f) ( di[e2v vn] - dj[e1u un] ) |
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| 99 | !! - apply lateral boundary conditions on rotn through a call |
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| 100 | !! of lbc_lnk routine. |
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| 101 | !! - Coastal boundary condition: 'key_noslip_accurate' defined, |
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| 102 | !! the no-slip boundary condition is computed using Schchepetkin |
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| 103 | !! and O'Brien (1996) scheme (i.e. 4th order at the coast). |
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| 104 | !! For example, along east coast, the one-sided finite difference |
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| 105 | !! approximation used for di[v] is: |
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| 106 | !! di[e2v vn] = 1/(e1f*e2f) |
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| 107 | !! * ( (e2v vn)(i) + (e2v vn)(i-1) + (e2v vn)(i-2) ) |
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| 108 | !! |
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| 109 | !! ** Action : - update hdivb, hdivn, the before & now hor. divergence |
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| 110 | !! - update rotb , rotn , the before & now rel. vorticity |
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| 111 | !! |
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| 112 | !! History of the direct routine: |
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| 113 | !! 8.2 ! 00-03 (G. Madec) no slip accurate |
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| 114 | !! 9.0 ! 03-08 (G. Madec) merged of cur and div, free form, F90 |
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| 115 | !! ! 05-01 (J. Chanut, A. Sellar) unstructured open boundaries |
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| 116 | !! History of the TAM routine: |
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| 117 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 118 | !! ! 08-07 (A. Weaver) |
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| 119 | !! ! 08-11 (A. Vidard) Nemo v3 |
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| 120 | !!---------------------------------------------------------------------- |
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| 121 | !! * Arguments |
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| 122 | INTEGER, INTENT( in ) :: & |
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| 123 | & kt ! ocean time-step index |
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| 124 | |
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| 125 | !! * Local declarations |
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| 126 | INTEGER :: & |
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| 127 | & ji, & ! dummy loop indices |
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| 128 | & jj, & |
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| 129 | & jk |
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| 130 | INTEGER :: & |
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| 131 | & ii, & ! temporary integer |
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| 132 | & ij, & |
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| 133 | & jl, & |
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| 134 | & ijt, & |
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| 135 | & iju |
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| 136 | REAL(KIND=wp), POINTER, DIMENSION(:,:) :: & |
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| 137 | & zwu ! Workspace |
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| 138 | REAL(KIND=wp), POINTER, DIMENSION(:,:) :: & |
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| 139 | & zwv ! Workspace |
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| 140 | !!---------------------------------------------------------------------- |
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| 141 | IF( nn_timing == 1 ) CALL timing_start('div_cur_tan') |
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| 142 | ! |
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| 143 | CALL wrk_alloc( jpi , jpj+2, zwu ) |
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| 144 | CALL wrk_alloc( jpi+4, jpj , zwv, kjstart = -1 ) |
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| 145 | ! |
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| 146 | IF( kt == nit000 ) THEN |
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| 147 | IF(lwp) WRITE(numout,*) |
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| 148 | IF(lwp) WRITE(numout,*) 'div_cur_tan : horizontal velocity', & |
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| 149 | & ' divergence and relative vorticity' |
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| 150 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ NOT optimal for auto-tasking case' |
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| 151 | ENDIF |
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| 152 | |
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| 153 | ! ! =============== |
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| 154 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 155 | ! ! =============== |
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| 156 | |
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| 157 | hdivb_tl(:,:,jk) = hdivn_tl(:,:,jk) ! time swap of div arrays |
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| 158 | rotb_tl (:,:,jk) = rotn_tl (:,:,jk) ! time swap of rot arrays |
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| 159 | |
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| 160 | ! ! -------- |
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| 161 | ! Horizontal divergence ! div |
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| 162 | ! ! -------- |
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| 163 | DO jj = 2, jpjm1 |
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| 164 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 165 | hdivn_tl(ji,jj,jk) = & |
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| 166 | & ( e2u(ji ,jj ) * fse3u(ji ,jj ,jk) * un_tl(ji ,jj ,jk) & |
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| 167 | & - e2u(ji-1,jj ) * fse3u(ji-1,jj ,jk) * un_tl(ji-1,jj ,jk) & |
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| 168 | & + e1v(ji ,jj ) * fse3v(ji ,jj ,jk) * vn_tl(ji ,jj ,jk) & |
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| 169 | & - e1v(ji ,jj-1) * fse3v(ji ,jj-1,jk) * vn_tl(ji ,jj-1,jk) & |
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| 170 | & ) / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 171 | END DO |
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| 172 | END DO |
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| 173 | ! |
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| 174 | IF ( .NOT. Agrif_Root() ) then |
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| 175 | IF ((nbondi == 1).OR.(nbondi == 2)) hdivn_tl(nlci-1 , : ,jk) = 0.e0 ! east |
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| 176 | IF ((nbondi == -1).OR.(nbondi == 2)) hdivn_tl(2 , : ,jk) = 0.e0 ! west |
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| 177 | IF ((nbondj == 1).OR.(nbondj == 2)) hdivn_tl(: ,nlcj-1 ,jk) = 0.e0 ! north |
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| 178 | IF ((nbondj == -1).OR.(nbondj == 2)) hdivn_tl(: ,2 ,jk) = 0.e0 ! south |
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| 179 | ENDIF |
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| 180 | ! |
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| 181 | ! ! -------- |
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| 182 | ! relative vorticity ! rot |
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| 183 | ! ! -------- |
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| 184 | ! contravariant velocity (extended for lateral b.c.) |
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| 185 | ! inside the model domain |
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| 186 | DO jj = 1, jpj |
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| 187 | DO ji = 1, jpi |
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| 188 | zwu(ji,jj) = e1u(ji,jj) * un_tl(ji,jj,jk) |
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| 189 | zwv(ji,jj) = e2v(ji,jj) * vn_tl(ji,jj,jk) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | ! East-West boundary conditions |
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| 194 | IF( nperio == 1 .OR. nperio == 4 .OR. nperio == 6) THEN |
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| 195 | zwv( 0 ,:) = zwv(jpi-2,:) |
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| 196 | zwv( -1 ,:) = zwv(jpi-3,:) |
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| 197 | zwv(jpi+1,:) = zwv( 3 ,:) |
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| 198 | zwv(jpi+2,:) = zwv( 4 ,:) |
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| 199 | ELSE |
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| 200 | zwv( 0 ,:) = 0.0_wp |
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| 201 | zwv( -1 ,:) = 0.0_wp |
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| 202 | zwv(jpi+1,:) = 0.0_wp |
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| 203 | zwv(jpi+2,:) = 0.0_wp |
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| 204 | ENDIF |
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| 205 | |
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| 206 | ! North-South boundary conditions |
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| 207 | IF( nperio == 3 .OR. nperio == 4 ) THEN |
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| 208 | ! north fold ( Grid defined with a T-point pivot) ORCA 2 degre |
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| 209 | zwu(jpi,jpj+1) = 0.0_wp |
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| 210 | zwu(jpi,jpj+2) = 0.0_wp |
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| 211 | DO ji = 1, jpi-1 |
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| 212 | iju = jpi - ji + 1 |
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| 213 | zwu(ji,jpj+1) = - zwu(iju,jpj-3) |
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| 214 | zwu(ji,jpj+2) = - zwu(iju,jpj-4) |
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| 215 | END DO |
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| 216 | ELSEIF( nperio == 5 .OR. nperio == 6 ) THEN |
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| 217 | ! north fold ( Grid defined with a F-point pivot) ORCA 0.5 degre |
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| 218 | zwu(jpi,jpj+1) = 0.0_wp |
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| 219 | zwu(jpi,jpj+2) = 0.0_wp |
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| 220 | DO ji = 1, jpi-1 |
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| 221 | iju = jpi - ji |
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| 222 | zwu(ji,jpj ) = - zwu(iju,jpj-1) |
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| 223 | zwu(ji,jpj+1) = - zwu(iju,jpj-2) |
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| 224 | zwu(ji,jpj+2) = - zwu(iju,jpj-3) |
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| 225 | END DO |
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| 226 | DO ji = -1, jpi+2 |
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| 227 | ijt = jpi - ji + 1 |
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| 228 | zwv(ji,jpj) = - zwv(ijt,jpj-2) |
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| 229 | END DO |
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| 230 | DO ji = jpi/2+1, jpi+2 |
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| 231 | ijt = jpi - ji + 1 |
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| 232 | zwv(ji,jpjm1) = - zwv(ijt,jpjm1) |
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| 233 | END DO |
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| 234 | ELSE |
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| 235 | ! closed |
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| 236 | zwu(:,jpj+1) = 0.0_wp |
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| 237 | zwu(:,jpj+2) = 0.0_wp |
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| 238 | ENDIF |
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| 239 | |
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| 240 | ! relative vorticity (vertical component of the velocity curl) |
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| 241 | DO jj = 1, jpjm1 |
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| 242 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 243 | rotn_tl(ji,jj,jk) = ( zwv(ji+1,jj ) - zwv(ji,jj) & |
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| 244 | & - zwu(ji ,jj+1) + zwu(ji,jj) ) & |
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| 245 | & * fmask(ji,jj,jk) / ( e1f(ji,jj) * e2f(ji,jj) ) |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | |
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| 249 | ! second order accurate scheme along straight coast |
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| 250 | DO jl = 1, npcoa(1,jk) |
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| 251 | ii = nicoa(jl,1,jk) |
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| 252 | ij = njcoa(jl,1,jk) |
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| 253 | rotn_tl(ii,ij,jk) = 1.0_wp / ( e1f(ii,ij) * e2f(ii,ij) ) & |
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| 254 | & * ( + 4.0_wp * zwv(ii+1,ij) - zwv(ii+2,ij) + 0.2_wp * zwv(ii+3,ij) ) |
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| 255 | END DO |
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| 256 | DO jl = 1, npcoa(2,jk) |
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| 257 | ii = nicoa(jl,2,jk) |
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| 258 | ij = njcoa(jl,2,jk) |
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| 259 | rotn_tl(ii,ij,jk) = 1.0_wp / ( e1f(ii,ij) * e2f(ii,ij) ) & |
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| 260 | & * ( - 4.0_wp * zwv(ii,ij) + zwv(ii-1,ij) - 0.2_wp * zwv(ii-2,ij) ) |
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| 261 | END DO |
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| 262 | DO jl = 1, npcoa(3,jk) |
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| 263 | ii = nicoa(jl,3,jk) |
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| 264 | ij = njcoa(jl,3,jk) |
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| 265 | rotn_tl(ii,ij,jk) = -1.0_wp / ( e1f(ii,ij) * e2f(ii,ij) ) & |
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| 266 | & * ( + 4.0_wp * zwu(ii,ij+1) - zwu(ii,ij+2) + 0.2_wp * zwu(ii,ij+3) ) |
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| 267 | END DO |
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| 268 | DO jl = 1, npcoa(4,jk) |
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| 269 | ii = nicoa(jl,4,jk) |
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| 270 | ij = njcoa(jl,4,jk) |
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| 271 | rotn_tl(ii,ij,jk) = -1.0_wp / ( e1f(ii,ij) * e2f(ii,ij) ) & |
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| 272 | & * ( -4.0_wp * zwu(ii,ij) + zwu(ii,ij-1) - 0.2_wp * zwu(ii,ij-2) ) |
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| 273 | END DO |
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| 274 | |
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| 275 | ! ! =============== |
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| 276 | END DO ! End of slab |
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| 277 | ! ! =============== |
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| 278 | IF( ln_rnf ) CALL sbc_rnf_div_tan( hdivn_tl ) ! runoffs (update hdivn field) |
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| 279 | IF( nn_cla == 1 ) CALL cla_div_tan ( kt ) ! Cross Land Advection (Update Hor. divergence) |
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| 280 | |
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| 281 | ! 4. Lateral boundary conditions on hdivn and rotn |
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| 282 | ! ---------------------------------=======---====== |
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| 283 | CALL lbc_lnk( hdivn_tl, 'T', 1.0_wp ) ! T-point, no sign change |
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| 284 | CALL lbc_lnk( rotn_tl , 'F', 1.0_wp ) ! F-point, no sign change |
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| 285 | ! |
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| 286 | CALL wrk_dealloc( jpi , jpj+2, zwu ) |
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| 287 | CALL wrk_dealloc( jpi+4, jpj , zwv, kjstart = -1 ) |
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| 288 | ! |
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| 289 | IF( nn_timing == 1 ) CALL timing_stop('div_cur_tan') |
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| 290 | END SUBROUTINE div_cur_tan |
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| 291 | |
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| 292 | SUBROUTINE div_cur_adj( kt ) |
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| 293 | !!---------------------------------------------------------------------- |
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| 294 | !! *** ROUTINE div_cur_adj *** |
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| 295 | !! |
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| 296 | !! ** Purpose of direct routine : |
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| 297 | !! compute the horizontal divergence and the relative |
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| 298 | !! vorticity at before and now time-step |
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| 299 | !! |
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| 300 | !! ** Method of direct routine : |
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| 301 | !! I. divergence : |
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| 302 | !! - save the divergence computed at the previous time-step |
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| 303 | !! (note that the Asselin filter has not been applied on hdivb) |
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| 304 | !! - compute the now divergence given by : |
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| 305 | !! hdivn = 1/(e1t*e2t*e3t) ( di[e2u*e3u un] + dj[e1v*e3v vn] ) |
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| 306 | !! Note: if lk_zco=T, e3u=e3v=e3t, they are simplified in the |
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| 307 | !! above expression |
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| 308 | !! - apply lateral boundary conditions on hdivn |
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| 309 | !! II. vorticity : |
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| 310 | !! - save the curl computed at the previous time-step |
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| 311 | !! rotb = rotn |
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| 312 | !! (note that the Asselin time filter has not been applied to rotb) |
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| 313 | !! - compute the now curl in tensorial formalism: |
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| 314 | !! rotn = 1/(e1f*e2f) ( di[e2v vn] - dj[e1u un] ) |
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| 315 | !! - apply lateral boundary conditions on rotn through a call |
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| 316 | !! of lbc_lnk routine. |
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| 317 | !! - Coastal boundary condition: 'key_noslip_accurate' defined, |
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| 318 | !! the no-slip boundary condition is computed using Schchepetkin |
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| 319 | !! and O'Brien (1996) scheme (i.e. 4th order at the coast). |
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| 320 | !! For example, along east coast, the one-sided finite difference |
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| 321 | !! approximation used for di[v] is: |
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| 322 | !! di[e2v vn] = 1/(e1f*e2f) |
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| 323 | !! * ( (e2v vn)(i) + (e2v vn)(i-1) + (e2v vn)(i-2) ) |
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| 324 | !! |
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| 325 | !! ** Action : - update hdivb, hdivn, the before & now hor. divergence |
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| 326 | !! - update rotb , rotn , the before & now rel. vorticity |
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| 327 | !! |
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| 328 | !! History of the direct routine: |
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| 329 | !! 8.2 ! 00-03 (G. Madec) no slip accurate |
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| 330 | !! 9.0 ! 03-08 (G. Madec) merged of cur and div, free form, F90 |
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| 331 | !! History of the TAM routine: |
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| 332 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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| 333 | !! 9.0 ! 08-07 (A. Weaver) |
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| 334 | !!---------------------------------------------------------------------- |
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| 335 | !! * Arguments |
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| 336 | INTEGER, INTENT( in ) :: & |
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| 337 | & kt ! ocean time-step index |
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| 338 | |
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| 339 | !! * Local declarations |
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| 340 | INTEGER :: & |
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| 341 | & ji, & ! dummy loop indices |
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| 342 | & jj, & |
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| 343 | & jk |
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| 344 | INTEGER :: & |
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| 345 | & ii, & ! temporary integer |
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| 346 | & ij, & |
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| 347 | & jl, & |
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| 348 | & ijt, & |
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| 349 | & iju |
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| 350 | REAL(wp) :: & |
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| 351 | & zdiv, & |
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| 352 | & zdju |
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| 353 | REAL(KIND=wp), POINTER, DIMENSION(:,:) :: & |
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| 354 | & zwu ! Workspace |
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| 355 | REAL(KIND=wp), POINTER, DIMENSION(:,:) :: & |
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| 356 | & zwv ! Workspace |
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[4573] | 357 | REAL(wp) :: & |
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| 358 | & ztmp |
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[3611] | 359 | !!---------------------------------------------------------------------- |
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| 360 | IF( nn_timing == 1 ) CALL timing_start('div_cur_adj') |
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| 361 | ! |
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| 362 | CALL wrk_alloc( jpi , jpj+2, zwu ) |
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| 363 | CALL wrk_alloc( jpi+4, jpj , zwv, kjstart = -1 ) |
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| 364 | ! |
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| 365 | IF( kt == nitend ) THEN |
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| 366 | IF(lwp) WRITE(numout,*) |
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| 367 | IF(lwp) WRITE(numout,*) 'div_cur_adj : horizontal velocity', & |
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| 368 | & ' divergence and relative vorticity' |
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| 369 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ NOT optimal for auto-tasking case' |
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| 370 | ENDIF |
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| 371 | |
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| 372 | ! 4. Lateral boundary conditions on hdivn and rotn |
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| 373 | ! ---------------------------------=======---====== |
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| 374 | CALL lbc_lnk_adj( rotn_ad , 'F', 1.0_wp ) ! F-point, no sign change |
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| 375 | CALL lbc_lnk_adj( hdivn_ad, 'T', 1.0_wp ) ! T-point, no sign change |
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| 376 | |
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| 377 | IF( nn_cla == 1 ) CALL cla_div_adj ( kt ) ! Cross Land Advection (Update Hor. divergence) |
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| 378 | IF( ln_rnf ) CALL sbc_rnf_div_adj( hdivn_ad ) ! runoffs (update hdivn field) |
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| 379 | ! ! =============== |
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| 380 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
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| 381 | ! ! =============== |
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| 382 | ! local adjoint workspace initialization |
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| 383 | zwu(:,:) = 0.0_wp |
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| 384 | zwv(:,:) = 0.0_wp |
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| 385 | ! ! -------- |
---|
| 386 | ! relative vorticity ! rot |
---|
| 387 | ! ! -------- |
---|
| 388 | DO jl = npcoa(4,jk), 1, -1 |
---|
| 389 | ii = nicoa(jl,4,jk) |
---|
| 390 | ij = njcoa(jl,4,jk) |
---|
| 391 | rotn_ad(ii,ij,jk) = -1.0_wp * rotn_ad(ii,ij,jk) & |
---|
| 392 | & / ( e1f(ii,ij) * e2f(ii,ij) ) |
---|
| 393 | zwu(ii,ij ) = zwu(ii,ij ) - 4.0_wp * rotn_ad(ii,ij,jk) |
---|
| 394 | zwu(ii,ij-1) = zwu(ii,ij-1) + rotn_ad(ii,ij,jk) |
---|
| 395 | zwu(ii,ij-2) = zwu(ii,ij-2) - 0.2_wp * rotn_ad(ii,ij,jk) |
---|
| 396 | rotn_ad(ii,ij,jk) = 0.0_wp |
---|
| 397 | END DO |
---|
| 398 | DO jl = npcoa(3,jk), 1, -1 |
---|
| 399 | ii = nicoa(jl,3,jk) |
---|
| 400 | ij = njcoa(jl,3,jk) |
---|
| 401 | rotn_ad(ii,ij,jk) = -1.0_wp * rotn_ad(ii,ij,jk) & |
---|
| 402 | & / ( e1f(ii,ij) * e2f(ii,ij) ) |
---|
| 403 | zwu(ii,ij+1) = zwu(ii,ij+1) + 4.0_wp * rotn_ad(ii,ij,jk) |
---|
| 404 | zwu(ii,ij+2) = zwu(ii,ij+2) - rotn_ad(ii,ij,jk) |
---|
| 405 | zwu(ii,ij+3) = zwu(ii,ij+3) + 0.2_wp * rotn_ad(ii,ij,jk) |
---|
| 406 | rotn_ad(ii,ij,jk) = 0.0_wp |
---|
| 407 | END DO |
---|
| 408 | DO jl = npcoa(2,jk), 1, -1 |
---|
| 409 | ii = nicoa(jl,2,jk) |
---|
| 410 | ij = njcoa(jl,2,jk) |
---|
| 411 | rotn_ad(ii,ij,jk) = 1.0_wp * rotn_ad(ii,ij,jk) & |
---|
| 412 | & / ( e1f(ii,ij) * e2f(ii,ij) ) |
---|
| 413 | zwv(ii ,ij) = zwv(ii ,ij) - 4.0_wp * rotn_ad(ii,ij,jk) |
---|
| 414 | zwv(ii-1,ij) = zwv(ii-1,ij) + rotn_ad(ii,ij,jk) |
---|
| 415 | zwv(ii-2,ij) = zwv(ii-2,ij) - 0.2_wp * rotn_ad(ii,ij,jk) |
---|
| 416 | rotn_ad(ii,ij,jk) = 0.0_wp |
---|
| 417 | END DO |
---|
| 418 | ! second order accurate scheme along straight coast |
---|
| 419 | DO jl = npcoa(1,jk), 1, -1 |
---|
| 420 | ii = nicoa(jl,1,jk) |
---|
| 421 | ij = njcoa(jl,1,jk) |
---|
| 422 | rotn_ad(ii,ij,jk) = 1.0_wp * rotn_ad(ii,ij,jk) & |
---|
| 423 | & / ( e1f(ii,ij) * e2f(ii,ij) ) |
---|
| 424 | zwv(ii+1,ij) = zwv(ii+1,ij) + 4.0_wp * rotn_ad(ii,ij,jk) |
---|
| 425 | zwv(ii+2,ij) = zwv(ii+2,ij) - rotn_ad(ii,ij,jk) |
---|
| 426 | zwv(ii+3,ij) = zwv(ii+3,ij) + 0.2_wp * rotn_ad(ii,ij,jk) |
---|
| 427 | rotn_ad(ii,ij,jk) = 0.0_wp |
---|
| 428 | END DO |
---|
| 429 | ! relative vorticity (vertical component of the velocity curl) |
---|
| 430 | DO jj = jpjm1, 1, -1 |
---|
| 431 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
| 432 | rotn_ad(ji,jj,jk) = rotn_ad(ji,jj,jk) * fmask(ji,jj,jk) & |
---|
| 433 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 434 | zwv(ji ,jj ) = zwv(ji ,jj ) - rotn_ad(ji,jj,jk) |
---|
| 435 | zwu(ji ,jj ) = zwu(ji ,jj ) + rotn_ad(ji,jj,jk) |
---|
| 436 | zwu(ji ,jj+1) = zwu(ji ,jj+1) - rotn_ad(ji,jj,jk) |
---|
| 437 | zwv(ji+1,jj ) = zwv(ji+1,jj ) + rotn_ad(ji,jj,jk) |
---|
| 438 | rotn_ad(ji,jj,jk) = 0.0 |
---|
| 439 | END DO |
---|
| 440 | END DO |
---|
| 441 | ! North-South boundary conditions |
---|
| 442 | IF( nperio == 3 .OR. nperio == 4 ) THEN |
---|
| 443 | ! north fold ( Grid defined with a T-point pivot) ORCA 2 degree |
---|
| 444 | DO ji = jpi-1, 1, -1 |
---|
| 445 | iju = jpi - ji + 1 |
---|
| 446 | zwu(iju,jpj-4) = zwu(iju,jpj-4) - zwu(ji,jpj+2) |
---|
| 447 | zwu(ji ,jpj+2) = 0.0_wp |
---|
| 448 | zwu(iju,jpj-3) = zwu(iju,jpj-3) - zwu(ji,jpj+1) |
---|
| 449 | zwu(ji ,jpj+1) = 0.0_wp |
---|
| 450 | END DO |
---|
| 451 | zwu(jpi,jpj+2) = 0.0_wp |
---|
| 452 | zwu(jpi,jpj+1) = 0.0_wp |
---|
| 453 | ELSEIF( nperio == 5 .OR. nperio == 6 ) THEN |
---|
| 454 | ! north fold ( Grid defined with a F-point pivot) ORCA 0.5 degree |
---|
[4573] | 455 | DO ji = jpi+2, jpi/2+1, -1 ! if jpi is odd, you can get ji=ijt hence the use of ztmp |
---|
[3611] | 456 | ijt = jpi - ji + 1 |
---|
[4573] | 457 | ztmp = zwv(ji, jpjm1) |
---|
| 458 | zwv(ji, jpjm1) = 0.0_wp |
---|
| 459 | zwv(ijt,jpjm1) = zwv(ijt,jpjm1) - ztmp |
---|
[3611] | 460 | END DO |
---|
| 461 | DO ji = jpi+2, -1, -1 |
---|
| 462 | ijt = jpi - ji + 1 |
---|
| 463 | zwv(ijt,jpj-2) = zwv(ijt,jpj-2) - zwv(ji,jpj ) |
---|
| 464 | zwv(ji ,jpj ) = 0.0_wp |
---|
| 465 | END DO |
---|
| 466 | DO ji = jpi-1, 1, -1 |
---|
| 467 | iju = jpi - ji |
---|
| 468 | zwu(iju,jpj-3) = zwu(iju,jpj-3) - zwu(ji,jpj+2) |
---|
| 469 | zwu(ji ,jpj+2) = 0.0_wp |
---|
| 470 | zwu(iju,jpj-2) = zwu(iju,jpj-2) - zwu(ji,jpj+1) |
---|
| 471 | zwu(ji ,jpj+1) = 0.0_wp |
---|
| 472 | zwu(iju,jpj-1) = zwu(iju,jpj-1) - zwu(ji,jpj ) |
---|
| 473 | zwu(ji ,jpj ) = 0.0_wp |
---|
| 474 | END DO |
---|
| 475 | zwu(jpi,jpj+2) = 0.0_wp |
---|
| 476 | zwu(jpi,jpj+1) = 0.0_wp |
---|
| 477 | ELSE |
---|
| 478 | ! closed |
---|
| 479 | zwu(:,jpj+2) = 0.0_wp |
---|
| 480 | zwu(:,jpj+1) = 0.0_wp |
---|
| 481 | ENDIF |
---|
| 482 | ! East-West boundary conditions |
---|
| 483 | IF( nperio == 1 .OR. nperio == 4 .OR. nperio == 6) THEN |
---|
| 484 | zwv( 4 ,:) = zwv( 4 ,:) + zwv(jpi+2,:) |
---|
| 485 | zwv(jpi+2,:) = 0.0_wp |
---|
| 486 | zwv( 3 ,:) = zwv( 3 ,:) + zwv(jpi+1,:) |
---|
| 487 | zwv(jpi+1,:) = 0.0_wp |
---|
| 488 | zwv(jpi-3,:) = zwv(jpi-3,:) + zwv( -1 ,:) |
---|
| 489 | zwv( -1 ,:) = 0.0_wp |
---|
| 490 | zwv(jpi-2,:) = zwv(jpi-2,:) + zwv( 0 ,:) |
---|
| 491 | zwv( 0 ,:) = 0.0_wp |
---|
| 492 | ELSE |
---|
| 493 | zwv(jpi+2,:) = 0.0_wp |
---|
| 494 | zwv(jpi+1,:) = 0.0_wp |
---|
| 495 | zwv( -1 ,:) = 0.0_wp |
---|
| 496 | zwv( 0 ,:) = 0.0_wp |
---|
| 497 | ENDIF |
---|
| 498 | ! contravariant velocity (extended for lateral b.c.) |
---|
| 499 | ! inside the model domain |
---|
| 500 | DO jj = jpj, 1, -1 |
---|
| 501 | DO ji = jpi, 1, -1 |
---|
| 502 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + e2v(ji,jj) * zwv(ji,jj) |
---|
| 503 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + e1u(ji,jj) * zwu(ji,jj) |
---|
| 504 | END DO |
---|
| 505 | END DO |
---|
| 506 | ! |
---|
| 507 | IF( .NOT. AGRIF_Root() ) THEN |
---|
| 508 | IF ((nbondi == 1).OR.(nbondi == 2)) hdivn_ad(nlci-1 , : ,jk) = 0.0_wp ! east |
---|
| 509 | IF ((nbondi == -1).OR.(nbondi == 2)) hdivn_ad(2 , : ,jk) = 0.0_wp ! west |
---|
| 510 | IF ((nbondj == 1).OR.(nbondj == 2)) hdivn_ad(: ,nlcj-1 ,jk) = 0.0_wp ! north |
---|
| 511 | IF ((nbondj == -1).OR.(nbondj == 2)) hdivn_ad(: ,2 ,jk) = 0.0_wp ! south |
---|
| 512 | ENDIF |
---|
| 513 | ! ! -------- |
---|
| 514 | ! Horizontal divergence ! div |
---|
| 515 | ! ! -------- |
---|
| 516 | DO jj = jpjm1, 2, -1 |
---|
| 517 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
| 518 | hdivn_ad(ji,jj,jk) = hdivn_ad(ji,jj,jk) & |
---|
| 519 | & / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 520 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) & |
---|
| 521 | & + e2u(ji ,jj ) * fse3u(ji ,jj ,jk) & |
---|
| 522 | & * hdivn_ad(ji,jj,jk) |
---|
| 523 | un_ad(ji-1,jj ,jk) = un_ad(ji-1,jj ,jk) & |
---|
| 524 | & - e2u(ji-1,jj ) * fse3u(ji-1,jj ,jk) & |
---|
| 525 | & * hdivn_ad(ji,jj,jk) |
---|
| 526 | vn_ad(ji ,jj ,jk) = vn_ad(ji ,jj ,jk) & |
---|
| 527 | & + e1v(ji ,jj ) * fse3v(ji ,jj ,jk) & |
---|
| 528 | & * hdivn_ad(ji,jj,jk) |
---|
| 529 | vn_ad(ji ,jj-1,jk) = vn_ad(ji ,jj-1,jk) & |
---|
| 530 | & - e1v(ji ,jj-1) * fse3v(ji ,jj-1,jk) & |
---|
| 531 | & * hdivn_ad(ji,jj,jk) |
---|
| 532 | hdivn_ad(ji,jj,jk) = 0.0_wp |
---|
| 533 | END DO |
---|
| 534 | END DO |
---|
| 535 | rotn_ad (:,:,jk) = rotn_ad (:,:,jk) + rotb_ad (:,:,jk) ! time swap |
---|
| 536 | rotb_ad (:,:,jk) = 0.0_wp |
---|
| 537 | hdivn_ad(:,:,jk) = hdivn_ad(:,:,jk) + hdivb_ad(:,:,jk) ! time swap |
---|
| 538 | hdivb_ad(:,:,jk) = 0.0_wp |
---|
| 539 | ! ! =============== |
---|
| 540 | END DO ! End of slab |
---|
| 541 | ! ! =============== |
---|
| 542 | CALL wrk_dealloc( jpi , jpj+2, zwu ) |
---|
| 543 | CALL wrk_dealloc( jpi+4, jpj , zwv, kjstart = -1 ) |
---|
| 544 | ! |
---|
| 545 | IF( nn_timing == 1 ) CALL timing_stop('div_cur_adj') |
---|
| 546 | |
---|
| 547 | END SUBROUTINE div_cur_adj |
---|
| 548 | |
---|
| 549 | #else |
---|
| 550 | !!---------------------------------------------------------------------- |
---|
| 551 | !! Default option 2nd order centered schemes |
---|
| 552 | !!---------------------------------------------------------------------- |
---|
| 553 | SUBROUTINE div_cur_tan( kt ) |
---|
| 554 | !!---------------------------------------------------------------------- |
---|
| 555 | !! *** ROUTINE div_cur_tan *** |
---|
| 556 | !! |
---|
| 557 | !! ** Purpose of direct routine : |
---|
| 558 | !! compute the horizontal divergence and the relative |
---|
| 559 | !! vorticity at before and now time-step |
---|
| 560 | !! |
---|
| 561 | !! ** Method of direct routine : |
---|
| 562 | !! - Divergence: |
---|
| 563 | !! - save the divergence computed at the previous time-step |
---|
| 564 | !! (note that the Asselin filter has not been applied on hdivb) |
---|
| 565 | !! - compute the now divergence given by : |
---|
| 566 | !! hdivn = 1/(e1t*e2t*e3t) ( di[e2u*e3u un] + dj[e1v*e3v vn] ) |
---|
| 567 | !! Note: if lk_zco=T, e3u=e3v=e3t, they are simplified in the |
---|
| 568 | !! above expression |
---|
| 569 | !! - apply lateral boundary conditions on hdivn |
---|
| 570 | !! - Relavtive Vorticity : |
---|
| 571 | !! - save the curl computed at the previous time-step (rotb = rotn) |
---|
| 572 | !! (note that the Asselin time filter has not been applied to rotb) |
---|
| 573 | !! - compute the now curl in tensorial formalism: |
---|
| 574 | !! rotn = 1/(e1f*e2f) ( di[e2v vn] - dj[e1u un] ) |
---|
| 575 | !! - apply lateral boundary conditions on rotn through a call to |
---|
| 576 | !! routine lbc_lnk routine. |
---|
| 577 | !! Note: Coastal boundary condition: lateral friction set through |
---|
| 578 | !! the value of fmask along the coast (see dommsk.F90) and shlat |
---|
| 579 | !! (namelist parameter) |
---|
| 580 | !! |
---|
| 581 | !! ** Action : - update hdivb, hdivn, the before & now hor. divergence |
---|
| 582 | !! - update rotb , rotn , the before & now rel. vorticity |
---|
| 583 | !! |
---|
| 584 | !! History of the direct routine: |
---|
| 585 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
---|
| 586 | !! 4.0 ! 91-11 (G. Madec) |
---|
| 587 | !! 6.0 ! 93-03 (M. Guyon) symetrical conditions |
---|
| 588 | !! 7.0 ! 96-01 (G. Madec) s-coordinates |
---|
| 589 | !! 8.0 ! 97-06 (G. Madec) lateral boundary cond., lbc |
---|
| 590 | !! 8.1 ! 97-08 (J.M. Molines) Open boundaries |
---|
| 591 | !! 9.0 ! 02-09 (G. Madec, E. Durand) Free form, F90 |
---|
| 592 | !! ! 05-01 (J. Chanut) Unstructured open boundaries |
---|
| 593 | !! History of the TAM routine: |
---|
| 594 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
---|
| 595 | !! ! 08-07 (A. Weaver) tangent of the 02-09 version |
---|
| 596 | !! ! 08-11 (A. Vidard) tangent of the 05-01 version |
---|
| 597 | !!---------------------------------------------------------------------- |
---|
| 598 | !! * Arguments |
---|
| 599 | INTEGER, INTENT( in ) :: & |
---|
| 600 | & kt ! ocean time-step index |
---|
| 601 | |
---|
| 602 | !! * Local declarations |
---|
| 603 | INTEGER :: & |
---|
| 604 | & ji, & ! dummy loop indices |
---|
| 605 | & jj, & |
---|
| 606 | & jk |
---|
| 607 | !!---------------------------------------------------------------------- |
---|
| 608 | IF( nn_timing == 1 ) CALL timing_start('div_cur_tan') |
---|
| 609 | ! |
---|
| 610 | IF( kt == nit000 ) THEN |
---|
| 611 | IF(lwp) WRITE(numout,*) |
---|
| 612 | IF(lwp) WRITE(numout,*) 'div_cur_tan : horizontal velocity divergence and' |
---|
| 613 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ relative vorticity' |
---|
| 614 | ENDIF |
---|
| 615 | ! ! =============== |
---|
| 616 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 617 | ! ! =============== |
---|
| 618 | hdivb_tl(:,:,jk) = hdivn_tl(:,:,jk) ! time swap of div arrays |
---|
| 619 | rotb_tl (:,:,jk) = rotn_tl (:,:,jk) ! time swap of rot arrays |
---|
| 620 | ! ! -------- |
---|
| 621 | ! Horizontal divergence ! div |
---|
| 622 | ! ! -------- |
---|
| 623 | DO jj = 2, jpjm1 |
---|
| 624 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 625 | hdivn_tl(ji,jj,jk) = & |
---|
| 626 | & ( e2u(ji ,jj ) * fse3u(ji ,jj ,jk) * un_tl(ji ,jj ,jk) & |
---|
| 627 | & - e2u(ji-1,jj ) * fse3u(ji-1,jj ,jk) * un_tl(ji-1,jj ,jk) & |
---|
| 628 | & + e1v(ji ,jj ) * fse3v(ji ,jj ,jk) * vn_tl(ji ,jj ,jk) & |
---|
| 629 | & - e1v(ji ,jj-1) * fse3v(ji ,jj-1,jk) * vn_tl(ji ,jj-1,jk) & |
---|
| 630 | & ) / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 631 | END DO |
---|
| 632 | END DO |
---|
| 633 | ! ! -------- |
---|
| 634 | ! relative vorticity ! rot |
---|
| 635 | ! ! -------- |
---|
| 636 | DO jj = 1, jpjm1 |
---|
| 637 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 638 | rotn_tl(ji,jj,jk) = ( e2v(ji+1,jj ) * vn_tl(ji+1,jj ,jk) & |
---|
| 639 | & - e2v(ji ,jj ) * vn_tl(ji ,jj ,jk) & |
---|
| 640 | & - e1u(ji ,jj+1) * un_tl(ji ,jj+1,jk) & |
---|
| 641 | & + e1u(ji ,jj ) * un_tl(ji ,jj ,jk) & |
---|
| 642 | & ) * fmask(ji,jj,jk) / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 643 | END DO |
---|
| 644 | END DO |
---|
| 645 | ! ! =============== |
---|
| 646 | END DO ! End of slab |
---|
| 647 | ! ! =============== |
---|
| 648 | IF( ln_rnf ) CALL sbc_rnf_div_tan( hdivn_tl ) ! runoffs (update hdivn field) |
---|
| 649 | IF( nn_cla == 1 ) CALL cla_div_tan ( kt ) ! Cross Land Advection (update hdivn field) |
---|
| 650 | !! |
---|
| 651 | CALL lbc_lnk( hdivn_tl, 'T', 1. ) |
---|
| 652 | CALL lbc_lnk( rotn_tl , 'F', 1. ) ! lateral boundary cond. (no sign change) |
---|
| 653 | ! |
---|
| 654 | IF( nn_timing == 1 ) CALL timing_stop('div_cur_tan') |
---|
| 655 | END SUBROUTINE div_cur_tan |
---|
| 656 | |
---|
| 657 | SUBROUTINE div_cur_adj( kt ) |
---|
| 658 | !!---------------------------------------------------------------------- |
---|
| 659 | !! *** ROUTINE div_cur_adj *** |
---|
| 660 | !! |
---|
| 661 | !! ** Purpose of direct routine : |
---|
| 662 | !! compute the horizontal divergence and the relative |
---|
| 663 | !! vorticity at before and now time-step |
---|
| 664 | !! |
---|
| 665 | !! ** Method of direct routine : |
---|
| 666 | !! - Divergence: |
---|
| 667 | !! - save the divergence computed at the previous time-step |
---|
| 668 | !! (note that the Asselin filter has not been applied on hdivb) |
---|
| 669 | !! - compute the now divergence given by : |
---|
| 670 | !! hdivn = 1/(e1t*e2t*e3t) ( di[e2u*e3u un] + dj[e1v*e3v vn] ) |
---|
| 671 | !! Note: if lk_zco=T, e3u=e3v=e3t, they are simplified in the |
---|
| 672 | !! above expression |
---|
| 673 | !! - apply lateral boundary conditions on hdivn |
---|
| 674 | !! - Relavtive Vorticity : |
---|
| 675 | !! - save the curl computed at the previous time-step (rotb = rotn) |
---|
| 676 | !! (note that the Asselin time filter has not been applied to rotb) |
---|
| 677 | !! - compute the now curl in tensorial formalism: |
---|
| 678 | !! rotn = 1/(e1f*e2f) ( di[e2v vn] - dj[e1u un] ) |
---|
| 679 | !! - apply lateral boundary conditions on rotn through a call to |
---|
| 680 | !! routine lbc_lnk routine. |
---|
| 681 | !! Note: Coastal boundary condition: lateral friction set through |
---|
| 682 | !! the value of fmask along the coast (see dommsk.F90) and shlat |
---|
| 683 | !! (namelist parameter) |
---|
| 684 | !! |
---|
| 685 | !! ** Action : - update hdivb, hdivn, the before & now hor. divergence |
---|
| 686 | !! - update rotb , rotn , the before & now rel. vorticity |
---|
| 687 | !! |
---|
| 688 | !! History of the direct routine: |
---|
| 689 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
---|
| 690 | !! 4.0 ! 91-11 (G. Madec) |
---|
| 691 | !! 6.0 ! 93-03 (M. Guyon) symetrical conditions |
---|
| 692 | !! 7.0 ! 96-01 (G. Madec) s-coordinates |
---|
| 693 | !! 8.0 ! 97-06 (G. Madec) lateral boundary cond., lbc |
---|
| 694 | !! 8.1 ! 97-08 (J.M. Molines) Open boundaries |
---|
| 695 | !! 9.0 ! 02-09 (G. Madec, E. Durand) Free form, F90 |
---|
| 696 | !! History of the TAM routine: |
---|
| 697 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
---|
| 698 | !! 9.0 ! 08-07 (A. Weaver) |
---|
| 699 | !!---------------------------------------------------------------------- |
---|
| 700 | !! * Arguments |
---|
| 701 | INTEGER, INTENT( in ) :: & |
---|
| 702 | & kt ! ocean time-step index |
---|
| 703 | |
---|
| 704 | !! * Local declarations |
---|
| 705 | INTEGER :: & |
---|
| 706 | & ji, & ! dummy loop indices |
---|
| 707 | & jj, & |
---|
| 708 | & jk |
---|
| 709 | !!---------------------------------------------------------------------- |
---|
| 710 | ! |
---|
| 711 | if( nn_timing == 1 ) call timing_start('div_cur_adj') |
---|
| 712 | ! |
---|
| 713 | IF( kt == nitend ) THEN |
---|
| 714 | IF(lwp) WRITE(numout,*) |
---|
| 715 | IF(lwp) WRITE(numout,*) 'div_cur_adj : horizontal velocity divergence and' |
---|
| 716 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ relative vorticity' |
---|
| 717 | ENDIF |
---|
| 718 | ! 4. Lateral boundary conditions on hdivn and rotn |
---|
| 719 | ! ---------------------------------=======---====== |
---|
| 720 | CALL lbc_lnk_adj( rotn_ad , 'F', 1.0_wp ) ! F-point, no sign change |
---|
| 721 | CALL lbc_lnk_adj( hdivn_ad, 'T', 1.0_wp ) ! T-point, no sign change |
---|
| 722 | !! |
---|
| 723 | IF( nn_cla == 1 ) CALL cla_div_adj ( kt ) ! Cross Land Advection (update hdivn field) |
---|
| 724 | IF( ln_rnf ) CALL sbc_rnf_div_adj( hdivn_ad ) ! runoffs (update hdivn field) |
---|
| 725 | ! ! =============== |
---|
| 726 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
---|
| 727 | ! ! =============== |
---|
| 728 | ! ! -------- |
---|
| 729 | ! relative vorticity ! rot |
---|
| 730 | ! ! -------- |
---|
| 731 | DO jj = jpjm1, 1, -1 |
---|
| 732 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
| 733 | rotn_ad(ji,jj,jk) = rotn_ad(ji,jj,jk) * fmask(ji,jj,jk) & |
---|
| 734 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
| 735 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) & |
---|
| 736 | & + e1u(ji ,jj ) * rotn_ad(ji,jj,jk) |
---|
| 737 | un_ad(ji ,jj+1,jk) = un_ad(ji ,jj+1,jk) & |
---|
| 738 | & - e1u(ji ,jj+1) * rotn_ad(ji,jj,jk) |
---|
| 739 | vn_ad(ji ,jj ,jk) = vn_ad(ji ,jj ,jk) & |
---|
| 740 | & - e2v(ji ,jj ) * rotn_ad(ji,jj,jk) |
---|
| 741 | vn_ad(ji+1,jj ,jk) = vn_ad(ji+1,jj ,jk) & |
---|
| 742 | & + e2v(ji+1,jj ) * rotn_ad(ji,jj,jk) |
---|
| 743 | rotn_ad(ji,jj,jk) = 0.0_wp |
---|
| 744 | END DO |
---|
| 745 | END DO |
---|
| 746 | ! ! -------- |
---|
| 747 | ! Horizontal divergence ! div |
---|
| 748 | ! ! -------- |
---|
| 749 | DO jj = jpjm1, 2, -1 |
---|
| 750 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
| 751 | hdivn_ad(ji,jj,jk) = hdivn_ad(ji,jj,jk) & |
---|
| 752 | & / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 753 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) & |
---|
| 754 | & + e2u(ji ,jj ) * fse3u(ji ,jj ,jk) & |
---|
| 755 | & * hdivn_ad(ji,jj,jk) |
---|
| 756 | un_ad(ji-1,jj ,jk) = un_ad(ji-1,jj ,jk) & |
---|
| 757 | & - e2u(ji-1,jj ) * fse3u(ji-1,jj ,jk) & |
---|
| 758 | & * hdivn_ad(ji,jj,jk) |
---|
| 759 | vn_ad(ji ,jj ,jk) = vn_ad(ji ,jj ,jk) & |
---|
| 760 | & + e1v(ji ,jj ) * fse3v(ji ,jj ,jk) & |
---|
| 761 | & * hdivn_ad(ji,jj,jk) |
---|
| 762 | vn_ad(ji ,jj-1,jk) = vn_ad(ji ,jj-1,jk) & |
---|
| 763 | & - e1v(ji ,jj-1) * fse3v(ji ,jj-1,jk) & |
---|
| 764 | & * hdivn_ad(ji,jj,jk) |
---|
| 765 | hdivn_ad(ji,jj,jk) = 0.0_wp |
---|
| 766 | END DO |
---|
| 767 | END DO |
---|
| 768 | ! |
---|
| 769 | rotn_ad (:,:,jk) = rotn_ad (:,:,jk) + rotb_ad (:,:,jk) ! time swap |
---|
| 770 | rotb_ad (:,:,jk) = 0.0_wp |
---|
| 771 | hdivn_ad(:,:,jk) = hdivn_ad(:,:,jk) + hdivb_ad(:,:,jk) ! time swap |
---|
| 772 | hdivb_ad(:,:,jk) = 0.0_wp |
---|
| 773 | ! ! =============== |
---|
| 774 | END DO ! End of slab |
---|
| 775 | ! ! =============== |
---|
| 776 | if( nn_timing == 1 ) call timing_stop('div_cur_adj') |
---|
| 777 | ! |
---|
| 778 | END SUBROUTINE div_cur_adj |
---|
| 779 | |
---|
| 780 | #endif |
---|
| 781 | |
---|
| 782 | SUBROUTINE div_cur_adj_tst( kumadt ) |
---|
| 783 | !!----------------------------------------------------------------------- |
---|
| 784 | !! |
---|
| 785 | !! *** ROUTINE div_cur_adj_tst : TEST OF div_cur_adj *** |
---|
| 786 | !! |
---|
| 787 | !! ** Purpose : Test the adjoint routine. |
---|
| 788 | !! |
---|
| 789 | !! ** Method : Verify the scalar product |
---|
| 790 | !! |
---|
| 791 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 792 | !! |
---|
| 793 | !! where L = tangent routine |
---|
| 794 | !! L^T = adjoint routine |
---|
| 795 | !! W = diagonal matrix of scale factors |
---|
| 796 | !! dx = input perturbation (random field) |
---|
| 797 | !! dy = L dx |
---|
| 798 | !! |
---|
| 799 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 800 | !! |
---|
| 801 | !! 1) dx = ( un_tl, vn_tl ) and |
---|
| 802 | !! dy = ( hdivn_tl ) |
---|
| 803 | !! 2) dx = ( un_tl, vn_tl ) and |
---|
| 804 | !! dy = ( rotntl ) |
---|
| 805 | !! |
---|
| 806 | !! History : |
---|
| 807 | !! ! 08-07 (A. Weaver) |
---|
| 808 | !!----------------------------------------------------------------------- |
---|
| 809 | |
---|
| 810 | !! * Modules used |
---|
| 811 | !! * Arguments |
---|
| 812 | INTEGER, INTENT(IN) :: & |
---|
| 813 | & kumadt ! Output unit |
---|
| 814 | |
---|
| 815 | INTEGER :: & |
---|
| 816 | & ji, & ! dummy loop indices |
---|
| 817 | & jj, & |
---|
| 818 | & jk |
---|
| 819 | |
---|
| 820 | !! * Local declarations |
---|
| 821 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 822 | & zun_tlin, & ! Tangent input: now u-velocity |
---|
| 823 | & zvn_tlin, & ! Tangent input: now v-velocity |
---|
| 824 | & zhdivn_tlin, & ! Tangent input: now horizontal divergence |
---|
| 825 | & zrotn_tlin, & ! Tangent input: now relative vorticity |
---|
| 826 | & zhdivb_tlout, & ! Tangent output: before horizontal divergence |
---|
| 827 | & zhdivn_tlout, & ! Tangent output: now horizontal divergence |
---|
| 828 | & zrotb_tlout, & ! Tangent output: before relative vorticity |
---|
| 829 | & zrotn_tlout, & ! Tangent output: now relative vorticity |
---|
| 830 | & zhdivb_adin, & ! Adjoint input: before horizontal divergence |
---|
| 831 | & zhdivn_adin, & ! Adjoint input: now horizontal divergence |
---|
| 832 | & zrotb_adin, & ! Adjoint input: before relative vorticity |
---|
| 833 | & zrotn_adin, & ! Adjoint input: now relative vorticity |
---|
| 834 | & zun_adout, & ! Adjoint output: now u-velocity |
---|
| 835 | & zvn_adout, & ! Adjoint output: now v-velocity |
---|
| 836 | & zhdivn_adout, & ! Adjoint output: now horizontal divergence |
---|
| 837 | & zrotn_adout, & ! Adjoint output: now relative vorticity |
---|
| 838 | & znu, & ! 3D random field for u |
---|
| 839 | & znv ! 3D random field for v |
---|
| 840 | |
---|
| 841 | REAL(KIND=wp) :: & |
---|
| 842 | ! random field standard deviation for: |
---|
| 843 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 844 | & zsp1_1, & ! scalar product components |
---|
| 845 | & zsp1_2, & |
---|
| 846 | & zsp1_3, & ! |
---|
| 847 | & zsp1_4, & |
---|
| 848 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 849 | & zsp2_1, & ! scalar product components |
---|
| 850 | & zsp2_2, & |
---|
| 851 | & zsp2_3, & |
---|
| 852 | & zsp2_4 |
---|
| 853 | |
---|
| 854 | CHARACTER(LEN=14) :: cl_name |
---|
| 855 | |
---|
| 856 | ! Allocate memory |
---|
| 857 | |
---|
| 858 | ALLOCATE( & |
---|
| 859 | & zun_tlin(jpi,jpj,jpk), & |
---|
| 860 | & zvn_tlin(jpi,jpj,jpk), & |
---|
| 861 | & zhdivn_tlin(jpi,jpj,jpk), & |
---|
| 862 | & zrotn_tlin(jpi,jpj,jpk), & |
---|
| 863 | & zhdivb_tlout(jpi,jpj,jpk), & |
---|
| 864 | & zhdivn_tlout(jpi,jpj,jpk), & |
---|
| 865 | & zrotb_tlout(jpi,jpj,jpk), & |
---|
| 866 | & zrotn_tlout(jpi,jpj,jpk), & |
---|
| 867 | & zhdivb_adin(jpi,jpj,jpk), & |
---|
| 868 | & zhdivn_adin(jpi,jpj,jpk), & |
---|
| 869 | & zrotb_adin(jpi,jpj,jpk), & |
---|
| 870 | & zrotn_adin(jpi,jpj,jpk), & |
---|
| 871 | & zun_adout(jpi,jpj,jpk), & |
---|
| 872 | & zvn_adout(jpi,jpj,jpk), & |
---|
| 873 | & zhdivn_adout(jpi,jpj,jpk), & |
---|
| 874 | & zrotn_adout(jpi,jpj,jpk), & |
---|
| 875 | & znu(jpi,jpj,jpk), & |
---|
| 876 | & znv(jpi,jpj,jpk) & |
---|
| 877 | & ) |
---|
| 878 | |
---|
| 879 | |
---|
| 880 | !================================================================== |
---|
| 881 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
| 882 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
| 883 | !================================================================== |
---|
| 884 | |
---|
| 885 | !-------------------------------------------------------------------- |
---|
| 886 | ! Reset the tangent and adjoint variables |
---|
| 887 | !-------------------------------------------------------------------- |
---|
| 888 | |
---|
| 889 | zun_tlin (:,:,:) = 0.0_wp |
---|
| 890 | zvn_tlin (:,:,:) = 0.0_wp |
---|
| 891 | zhdivn_tlin (:,:,:) = 0.0_wp |
---|
| 892 | zrotn_tlin (:,:,:) = 0.0_wp |
---|
| 893 | zhdivb_tlout(:,:,:) = 0.0_wp |
---|
| 894 | zhdivn_tlout(:,:,:) = 0.0_wp |
---|
| 895 | zrotb_tlout (:,:,:) = 0.0_wp |
---|
| 896 | zrotn_tlout (:,:,:) = 0.0_wp |
---|
| 897 | zhdivb_adin (:,:,:) = 0.0_wp |
---|
| 898 | zhdivn_adin (:,:,:) = 0.0_wp |
---|
| 899 | zrotb_adin (:,:,:) = 0.0_wp |
---|
| 900 | zrotn_adin (:,:,:) = 0.0_wp |
---|
| 901 | zrotn_adout (:,:,:) = 0.0_wp |
---|
| 902 | zhdivn_adout(:,:,:) = 0.0_wp |
---|
| 903 | zun_adout (:,:,:) = 0.0_wp |
---|
| 904 | zvn_adout (:,:,:) = 0.0_wp |
---|
| 905 | |
---|
| 906 | un_tl (:,:,:) = 0.0_wp |
---|
| 907 | vn_tl (:,:,:) = 0.0_wp |
---|
| 908 | hdivb_tl(:,:,:) = 0.0_wp |
---|
| 909 | hdivn_tl(:,:,:) = 0.0_wp |
---|
| 910 | rotb_tl (:,:,:) = 0.0_wp |
---|
| 911 | rotn_tl (:,:,:) = 0.0_wp |
---|
| 912 | hdivb_ad(:,:,:) = 0.0_wp |
---|
| 913 | hdivn_ad(:,:,:) = 0.0_wp |
---|
| 914 | rotb_ad (:,:,:) = 0.0_wp |
---|
| 915 | rotn_ad (:,:,:) = 0.0_wp |
---|
| 916 | un_ad (:,:,:) = 0.0_wp |
---|
| 917 | vn_ad (:,:,:) = 0.0_wp |
---|
| 918 | |
---|
| 919 | !-------------------------------------------------------------------- |
---|
| 920 | ! Initialize the tangent input with random noise: dx |
---|
| 921 | !-------------------------------------------------------------------- |
---|
| 922 | |
---|
| 923 | CALL grid_random( znu, 'U', 0.0_wp, stdu ) |
---|
| 924 | |
---|
| 925 | CALL grid_random( znv, 'V', 0.0_wp, stdv ) |
---|
| 926 | |
---|
| 927 | DO jk = 1, jpk |
---|
| 928 | DO jj = nldj, nlej |
---|
| 929 | DO ji = nldi, nlei |
---|
| 930 | zun_tlin(ji,jj,jk) = znu(ji,jj,jk) |
---|
| 931 | zvn_tlin(ji,jj,jk) = znv(ji,jj,jk) |
---|
| 932 | END DO |
---|
| 933 | END DO |
---|
| 934 | END DO |
---|
| 935 | |
---|
| 936 | un_tl(:,:,:) = zun_tlin(:,:,:) |
---|
| 937 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
---|
| 938 | |
---|
| 939 | CALL div_cur_tan( nit000 ) ! Generate noise for before hdiv/rot fields |
---|
| 940 | |
---|
| 941 | DO jk = 1, jpk |
---|
| 942 | DO jj = nldj, nlej |
---|
| 943 | DO ji = nldi, nlei |
---|
| 944 | zhdivn_tlin(ji,jj,jk) = 0.5_wp * hdivn_tl(ji,jj,jk) |
---|
| 945 | zrotn_tlin (ji,jj,jk) = 0.5_wp * rotn_tl (ji,jj,jk) |
---|
| 946 | END DO |
---|
| 947 | END DO |
---|
| 948 | END DO |
---|
| 949 | |
---|
| 950 | un_tl (:,:,:) = 0.0_wp |
---|
| 951 | vn_tl (:,:,:) = 0.0_wp |
---|
| 952 | hdivb_tl(:,:,:) = 0.0_wp |
---|
| 953 | hdivn_tl(:,:,:) = 0.0_wp |
---|
| 954 | rotb_tl (:,:,:) = 0.0_wp |
---|
| 955 | rotn_tl (:,:,:) = 0.0_wp |
---|
| 956 | |
---|
| 957 | !-------------------------------------------------------------------- |
---|
| 958 | ! Call the tangent routine: dy = L dx |
---|
| 959 | !-------------------------------------------------------------------- |
---|
| 960 | |
---|
| 961 | un_tl (:,:,:) = zun_tlin (:,:,:) |
---|
| 962 | vn_tl (:,:,:) = zvn_tlin (:,:,:) |
---|
| 963 | hdivn_tl(:,:,:) = zhdivn_tlin(:,:,:) |
---|
| 964 | |
---|
| 965 | CALL div_cur_tan( nit000 ) |
---|
| 966 | |
---|
| 967 | zhdivb_tlout(:,:,:) = hdivb_tl(:,:,:) |
---|
| 968 | zhdivn_tlout(:,:,:) = hdivn_tl(:,:,:) |
---|
| 969 | |
---|
| 970 | !-------------------------------------------------------------------- |
---|
| 971 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 972 | !-------------------------------------------------------------------- |
---|
| 973 | DO jk = 1, jpk |
---|
| 974 | DO jj = nldj, nlej |
---|
| 975 | DO ji = nldi, nlei |
---|
| 976 | zhdivb_adin(ji,jj,jk) = zhdivb_tlout(ji,jj,jk) & |
---|
| 977 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
| 978 | & * tmask(ji,jj,jk) |
---|
| 979 | zhdivn_adin(ji,jj,jk) = zhdivn_tlout(ji,jj,jk) & |
---|
| 980 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
| 981 | & * tmask(ji,jj,jk) |
---|
| 982 | END DO |
---|
| 983 | END DO |
---|
| 984 | END DO |
---|
| 985 | |
---|
| 986 | !-------------------------------------------------------------------- |
---|
| 987 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 988 | !-------------------------------------------------------------------- |
---|
| 989 | |
---|
| 990 | zsp1_1 = DOT_PRODUCT( zhdivb_tlout, zhdivb_adin ) |
---|
| 991 | zsp1_2 = DOT_PRODUCT( zhdivn_tlout, zhdivn_adin ) |
---|
| 992 | zsp1 = zsp1_1 + zsp1_2 |
---|
| 993 | |
---|
| 994 | !-------------------------------------------------------------------- |
---|
| 995 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 996 | !-------------------------------------------------------------------- |
---|
| 997 | |
---|
| 998 | hdivb_ad(:,:,:) = zhdivb_adin(:,:,:) |
---|
| 999 | hdivn_ad(:,:,:) = zhdivn_adin(:,:,:) |
---|
| 1000 | rotb_ad (:,:,:) = 0.0_wp |
---|
| 1001 | rotn_ad (:,:,:) = 0.0_wp |
---|
| 1002 | |
---|
| 1003 | CALL div_cur_adj( nit000 ) |
---|
| 1004 | |
---|
| 1005 | zun_adout (:,:,:) = un_ad (:,:,:) |
---|
| 1006 | zvn_adout (:,:,:) = vn_ad (:,:,:) |
---|
| 1007 | zhdivn_adout(:,:,:) = hdivn_ad(:,:,:) |
---|
| 1008 | |
---|
| 1009 | !-------------------------------------------------------------------- |
---|
| 1010 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 1011 | !-------------------------------------------------------------------- |
---|
| 1012 | |
---|
| 1013 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
---|
| 1014 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
---|
| 1015 | zsp2_3 = DOT_PRODUCT( zhdivn_tlin, zhdivn_adout ) |
---|
| 1016 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 |
---|
| 1017 | |
---|
| 1018 | cl_name = 'div_cur_adj T1' |
---|
| 1019 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 1020 | |
---|
| 1021 | !============================================================= |
---|
| 1022 | ! 2) dx = ( un_tl, vn_tl, rotn_tl ) and |
---|
| 1023 | ! dy = ( rotb_tl, rotn_tl ) |
---|
| 1024 | !============================================================= |
---|
| 1025 | |
---|
| 1026 | !-------------------------------------------------------------------- |
---|
| 1027 | ! Reset the tangent and adjoint variables |
---|
| 1028 | !-------------------------------------------------------------------- |
---|
| 1029 | |
---|
| 1030 | un_tl (:,:,:) = 0.0_wp |
---|
| 1031 | vn_tl (:,:,:) = 0.0_wp |
---|
| 1032 | hdivb_tl(:,:,:) = 0.0_wp |
---|
| 1033 | hdivn_tl(:,:,:) = 0.0_wp |
---|
| 1034 | rotb_tl (:,:,:) = 0.0_wp |
---|
| 1035 | rotn_tl (:,:,:) = 0.0_wp |
---|
| 1036 | hdivb_ad(:,:,:) = 0.0_wp |
---|
| 1037 | hdivn_ad(:,:,:) = 0.0_wp |
---|
| 1038 | rotb_ad (:,:,:) = 0.0_wp |
---|
| 1039 | rotn_ad (:,:,:) = 0.0_wp |
---|
| 1040 | un_ad (:,:,:) = 0.0_wp |
---|
| 1041 | vn_ad (:,:,:) = 0.0_wp |
---|
| 1042 | |
---|
| 1043 | !-------------------------------------------------------------------- |
---|
| 1044 | ! Call the tangent routine: dy = L dx |
---|
| 1045 | !-------------------------------------------------------------------- |
---|
| 1046 | |
---|
| 1047 | un_tl (:,:,:) = zun_tlin (:,:,:) |
---|
| 1048 | vn_tl (:,:,:) = zvn_tlin (:,:,:) |
---|
| 1049 | rotn_tl(:,:,:) = zrotn_tlin(:,:,:) |
---|
| 1050 | |
---|
| 1051 | CALL div_cur_tan( nit000 ) |
---|
| 1052 | |
---|
| 1053 | zrotb_tlout(:,:,:) = rotb_tl(:,:,:) |
---|
| 1054 | zrotn_tlout(:,:,:) = rotn_tl(:,:,:) |
---|
| 1055 | |
---|
| 1056 | !-------------------------------------------------------------------- |
---|
| 1057 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 1058 | !-------------------------------------------------------------------- |
---|
| 1059 | |
---|
| 1060 | DO jk = 1, jpk |
---|
| 1061 | DO jj = nldj, nlej |
---|
| 1062 | DO ji = nldi, nlei |
---|
| 1063 | zrotb_adin(ji,jj,jk) = zrotb_tlout(ji,jj,jk) & |
---|
| 1064 | & * e1f(ji,jj) * e2f(ji,jj) * fse3f(ji,jj,jk) |
---|
| 1065 | zrotn_adin(ji,jj,jk) = zrotn_tlout(ji,jj,jk) & |
---|
| 1066 | & * e1f(ji,jj) * e2f(ji,jj) * fse3f(ji,jj,jk) |
---|
| 1067 | END DO |
---|
| 1068 | END DO |
---|
| 1069 | END DO |
---|
| 1070 | |
---|
| 1071 | !-------------------------------------------------------------------- |
---|
| 1072 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 1073 | !-------------------------------------------------------------------- |
---|
| 1074 | |
---|
| 1075 | zsp1_1 = DOT_PRODUCT( zrotb_tlout, zrotb_adin ) |
---|
| 1076 | zsp1_2 = DOT_PRODUCT( zrotn_tlout, zrotn_adin ) |
---|
| 1077 | zsp1 = zsp1_1 + zsp1_2 |
---|
| 1078 | |
---|
| 1079 | !-------------------------------------------------------------------- |
---|
| 1080 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 1081 | !-------------------------------------------------------------------- |
---|
| 1082 | |
---|
| 1083 | rotb_ad (:,:,:) = zrotb_adin(:,:,:) |
---|
| 1084 | rotn_ad (:,:,:) = zrotn_adin(:,:,:) |
---|
| 1085 | hdivb_ad(:,:,:) = 0.0_wp |
---|
| 1086 | hdivn_ad(:,:,:) = 0.0_wp |
---|
| 1087 | |
---|
| 1088 | CALL div_cur_adj( nit000 ) |
---|
| 1089 | |
---|
| 1090 | zun_adout (:,:,:) = un_ad (:,:,:) |
---|
| 1091 | zvn_adout (:,:,:) = vn_ad (:,:,:) |
---|
| 1092 | zrotn_adout(:,:,:) = rotn_ad(:,:,:) |
---|
| 1093 | |
---|
| 1094 | !-------------------------------------------------------------------- |
---|
| 1095 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 1096 | !-------------------------------------------------------------------- |
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| 1097 | |
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| 1098 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
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| 1099 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
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| 1100 | zsp2_3 = DOT_PRODUCT( zrotn_tlin, zrotn_adout ) |
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| 1101 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 |
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| 1102 | |
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| 1103 | cl_name = 'div_cur_adj T2' |
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| 1104 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
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| 1105 | |
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| 1106 | !============================================================= |
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| 1107 | ! 3) dx = ( un_tl, vn_tl, rotn_tl, hdin_tl ) and |
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| 1108 | ! dy = ( rotb_tl, rotn_tl, hdivn_tl, hdivb_tl ) |
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| 1109 | !============================================================= |
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| 1110 | |
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| 1111 | !-------------------------------------------------------------------- |
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| 1112 | ! Reset the tangent and adjoint variables |
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| 1113 | !-------------------------------------------------------------------- |
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| 1114 | |
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| 1115 | un_tl (:,:,:) = 0.0_wp |
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| 1116 | vn_tl (:,:,:) = 0.0_wp |
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| 1117 | hdivb_tl(:,:,:) = 0.0_wp |
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| 1118 | hdivn_tl(:,:,:) = 0.0_wp |
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| 1119 | rotb_tl (:,:,:) = 0.0_wp |
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| 1120 | rotn_tl (:,:,:) = 0.0_wp |
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| 1121 | hdivb_ad(:,:,:) = 0.0_wp |
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| 1122 | hdivn_ad(:,:,:) = 0.0_wp |
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| 1123 | rotb_ad (:,:,:) = 0.0_wp |
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| 1124 | rotn_ad (:,:,:) = 0.0_wp |
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| 1125 | un_ad (:,:,:) = 0.0_wp |
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| 1126 | vn_ad (:,:,:) = 0.0_wp |
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| 1127 | |
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| 1128 | !-------------------------------------------------------------------- |
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| 1129 | ! Call the tangent routine: dy = L dx |
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| 1130 | !-------------------------------------------------------------------- |
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| 1131 | |
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| 1132 | un_tl (:,:,:) = zun_tlin (:,:,:) |
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| 1133 | vn_tl (:,:,:) = zvn_tlin (:,:,:) |
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| 1134 | rotn_tl(:,:,:) = zrotn_tlin(:,:,:) |
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| 1135 | hdivn_tl(:,:,:) = zhdivn_tlin(:,:,:) |
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| 1136 | |
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| 1137 | CALL div_cur_tan( nit000 ) |
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| 1138 | |
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| 1139 | zhdivb_tlout(:,:,:) = hdivb_tl(:,:,:) |
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| 1140 | zhdivn_tlout(:,:,:) = hdivn_tl(:,:,:) |
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| 1141 | zrotb_tlout(:,:,:) = rotb_tl(:,:,:) |
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| 1142 | zrotn_tlout(:,:,:) = rotn_tl(:,:,:) |
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| 1143 | |
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| 1144 | !-------------------------------------------------------------------- |
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| 1145 | ! Initialize the adjoint variables: dy^* = W dy |
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| 1146 | !-------------------------------------------------------------------- |
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| 1147 | DO jk = 1, jpk |
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| 1148 | DO jj = nldj, nlej |
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| 1149 | DO ji = nldi, nlei |
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| 1150 | zhdivb_adin(ji,jj,jk) = zhdivb_tlout(ji,jj,jk) & |
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| 1151 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 1152 | & * tmask(ji,jj,jk) |
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| 1153 | zhdivn_adin(ji,jj,jk) = zhdivn_tlout(ji,jj,jk) & |
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| 1154 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
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| 1155 | & * tmask(ji,jj,jk) |
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| 1156 | END DO |
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| 1157 | END DO |
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| 1158 | END DO |
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| 1159 | DO jk = 1, jpk |
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| 1160 | DO jj = nldj, nlej |
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| 1161 | DO ji = nldi, nlei |
---|
| 1162 | zrotb_adin(ji,jj,jk) = zrotb_tlout(ji,jj,jk) & |
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| 1163 | & * e1f(ji,jj) * e2f(ji,jj) * fse3f(ji,jj,jk) |
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| 1164 | zrotn_adin(ji,jj,jk) = zrotn_tlout(ji,jj,jk) & |
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| 1165 | & * e1f(ji,jj) * e2f(ji,jj) * fse3f(ji,jj,jk) |
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| 1166 | END DO |
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| 1167 | END DO |
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| 1168 | END DO |
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| 1169 | |
---|
| 1170 | !-------------------------------------------------------------------- |
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| 1171 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 1172 | !-------------------------------------------------------------------- |
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| 1173 | |
---|
| 1174 | zsp1_1 = DOT_PRODUCT( zhdivb_tlout, zhdivb_adin ) |
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| 1175 | zsp1_2 = DOT_PRODUCT( zhdivn_tlout, zhdivn_adin ) |
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| 1176 | zsp1_3 = DOT_PRODUCT( zrotb_tlout, zrotb_adin ) |
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| 1177 | zsp1_4 = DOT_PRODUCT( zrotn_tlout, zrotn_adin ) |
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| 1178 | zsp1 = zsp1_1 + zsp1_2 + zsp1_3 + zsp1_4 |
---|
| 1179 | |
---|
| 1180 | !-------------------------------------------------------------------- |
---|
| 1181 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 1182 | !-------------------------------------------------------------------- |
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| 1183 | |
---|
| 1184 | hdivb_ad(:,:,:) = zhdivb_adin(:,:,:) |
---|
| 1185 | hdivn_ad(:,:,:) = zhdivn_adin(:,:,:) |
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| 1186 | rotb_ad (:,:,:) = zrotb_adin(:,:,:) |
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| 1187 | rotn_ad (:,:,:) = zrotn_adin(:,:,:) |
---|
| 1188 | |
---|
| 1189 | CALL div_cur_adj( nit000 ) |
---|
| 1190 | |
---|
| 1191 | zun_adout (:,:,:) = un_ad (:,:,:) |
---|
| 1192 | zvn_adout (:,:,:) = vn_ad (:,:,:) |
---|
| 1193 | zrotn_adout(:,:,:) = rotn_ad(:,:,:) |
---|
| 1194 | zhdivn_adout(:,:,:) = hdivn_ad(:,:,:) |
---|
| 1195 | |
---|
| 1196 | !-------------------------------------------------------------------- |
---|
| 1197 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 1198 | !-------------------------------------------------------------------- |
---|
| 1199 | |
---|
| 1200 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
---|
| 1201 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
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| 1202 | zsp2_3 = DOT_PRODUCT( zrotn_tlin, zrotn_adout ) |
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| 1203 | zsp2_4 = DOT_PRODUCT( zhdivn_tlin, zhdivn_adout ) |
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| 1204 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 |
---|
| 1205 | |
---|
| 1206 | cl_name = 'div_cur_adj T3' |
---|
| 1207 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 1208 | |
---|
| 1209 | |
---|
| 1210 | DEALLOCATE( & |
---|
| 1211 | & zun_tlin, & |
---|
| 1212 | & zvn_tlin, & |
---|
| 1213 | & zhdivn_tlin, & |
---|
| 1214 | & zrotn_tlin, & |
---|
| 1215 | & zhdivb_tlout, & |
---|
| 1216 | & zhdivn_tlout, & |
---|
| 1217 | & zrotb_tlout, & |
---|
| 1218 | & zrotn_tlout, & |
---|
| 1219 | & zhdivb_adin, & |
---|
| 1220 | & zhdivn_adin, & |
---|
| 1221 | & zrotb_adin, & |
---|
| 1222 | & zrotn_adin, & |
---|
| 1223 | & zun_adout, & |
---|
| 1224 | & zvn_adout, & |
---|
| 1225 | & zhdivn_adout, & |
---|
| 1226 | & zrotn_adout, & |
---|
| 1227 | & znu, & |
---|
| 1228 | & znv & |
---|
| 1229 | & ) |
---|
| 1230 | |
---|
| 1231 | END SUBROUTINE div_cur_adj_tst |
---|
| 1232 | #endif |
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| 1233 | |
---|
| 1234 | !!====================================================================== |
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| 1235 | |
---|
| 1236 | END MODULE divcur_tam |
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