[3] | 1 | MODULE solmat |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE solmat *** |
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| 4 | !! solver : construction of the matrix |
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| 5 | !!====================================================================== |
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[508] | 6 | !! History : 1.0 ! 88-04 (G. Madec) Original code |
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| 7 | !! ! 93-03 (M. Guyon) symetrical conditions |
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| 8 | !! ! 93-06 (M. Guyon) suppress pointers |
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| 9 | !! ! 96-05 (G. Madec) merge sor and pcg formulations |
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| 10 | !! ! 96-11 (A. Weaver) correction to preconditioning |
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| 11 | !! ! 98-02 (M. Guyon) FETI method |
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| 12 | !! 8.5 ! 02-08 (G. Madec) F90: Free form |
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| 13 | !! ! 02-11 (C. Talandier, A-M. Treguier) Free surface & Open boundaries |
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| 14 | !! 9.0 ! 05-09 (R. Benshila) add sol_exd for extra outer halo |
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| 15 | !! 9.0 ! 05-11 (V. Garnier) Surface pressure gradient organization |
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| 16 | !! 9.0 ! 06-07 (S. Masson) distributed restart using iom |
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| 17 | !!---------------------------------------------------------------------- |
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[3] | 18 | |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | !! sol_mat : Construction of the matrix of used by the elliptic solvers |
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| 21 | !! fetsch : |
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| 22 | !! fetmat : |
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| 23 | !! fetstr : |
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| 24 | !!---------------------------------------------------------------------- |
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| 25 | !! * Modules used |
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| 26 | USE oce ! ocean dynamics and active tracers |
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| 27 | USE dom_oce ! ocean space and time domain |
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| 28 | USE sol_oce ! ocean solver |
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| 29 | USE phycst ! physical constants |
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| 30 | USE obc_oce ! ocean open boundary conditions |
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[312] | 31 | USE lbclnk ! lateral boudary conditions |
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[3] | 32 | USE lib_mpp ! distributed memory computing |
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[413] | 33 | USE in_out_manager ! I/O manager |
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[3] | 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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| 38 | !! * Routine accessibility |
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| 39 | PUBLIC sol_mat ! routine called by inisol.F90 |
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| 40 | !!---------------------------------------------------------------------- |
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[247] | 41 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[719] | 42 | !! $Header$ |
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[508] | 43 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 44 | !!---------------------------------------------------------------------- |
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| 45 | |
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| 46 | CONTAINS |
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| 47 | |
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[413] | 48 | SUBROUTINE sol_mat( kt ) |
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[3] | 49 | !!---------------------------------------------------------------------- |
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| 50 | !! *** ROUTINE sol_mat *** |
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| 51 | !! |
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| 52 | !! ** Purpose : Construction of the matrix of used by the elliptic |
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| 53 | !! solvers (either sor, pcg or feti methods). |
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| 54 | !! |
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| 55 | !! ** Method : The matrix depends on the type of free surface: |
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[16] | 56 | !! * lk_dynspg_rl=T: rigid lid formulation |
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[3] | 57 | !! The matrix is built for the barotropic stream function system. |
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| 58 | !! a diagonal preconditioning matrix is also defined. |
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[359] | 59 | !! * lk_dynspg_flt=T: free surface formulation |
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[3] | 60 | !! The matrix is built for the divergence of the transport system |
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| 61 | !! a diagonal preconditioning matrix is also defined. |
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| 62 | !! Note that for feti solver (nsolv=3) a specific initialization |
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| 63 | !! is required (call to fetstr.F) for memory allocation and inter- |
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| 64 | !! face definition. |
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| 65 | !! |
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| 66 | !! ** Action : - gcp : extra-diagonal elements of the matrix |
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| 67 | !! - gcdmat : preconditioning matrix (diagonal elements) |
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| 68 | !! - gcdprc : inverse of the preconditioning matrix |
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| 69 | !!---------------------------------------------------------------------- |
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[413] | 70 | !! * Arguments |
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| 71 | INTEGER, INTENT(in) :: kt |
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| 72 | |
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[3] | 73 | !! * Local declarations |
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| 74 | INTEGER :: ji, jj ! dummy loop indices |
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| 75 | INTEGER :: ii, ij, iiend, ijend ! temporary integers |
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| 76 | REAL(wp) :: zcoefs, zcoefw, zcoefe, zcoefn ! temporary scalars |
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[16] | 77 | REAL(wp) :: z2dt, zcoef |
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[3] | 78 | !!---------------------------------------------------------------------- |
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| 79 | |
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| 80 | ! FETI method ( nsolv = 3) |
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| 81 | ! memory allocation and interface definition for the solver |
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| 82 | |
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| 83 | IF( nsolv == 3 ) CALL fetstr |
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| 84 | |
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| 85 | |
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| 86 | ! 1. Construction of the matrix |
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| 87 | ! ----------------------------- |
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| 88 | |
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| 89 | ! initialize to zero |
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[16] | 90 | zcoef = 0.e0 |
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[3] | 91 | gcp(:,:,1) = 0.e0 |
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| 92 | gcp(:,:,2) = 0.e0 |
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| 93 | gcp(:,:,3) = 0.e0 |
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| 94 | gcp(:,:,4) = 0.e0 |
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| 95 | |
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| 96 | gcdprc(:,:) = 0.e0 |
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| 97 | gcdmat(:,:) = 0.e0 |
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| 98 | |
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[413] | 99 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 100 | z2dt = rdt |
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| 101 | ELSE |
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| 102 | z2dt = 2. * rdt |
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| 103 | ENDIF |
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[3] | 104 | |
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[359] | 105 | #if defined key_dynspg_flt && ! defined key_obc |
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| 106 | !!cr IF( lk_dynspg_flt .AND. .NOT.lk_obc ) THEN !bug missing lk_dynspg_flt_atsk |
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[3] | 107 | |
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| 108 | ! defined the coefficients for free surface elliptic system |
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| 109 | |
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| 110 | DO jj = 2, jpjm1 |
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| 111 | DO ji = 2, jpim1 |
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[16] | 112 | zcoef = z2dt * z2dt * grav * rnu * bmask(ji,jj) |
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[3] | 113 | zcoefs = -zcoef * hv(ji ,jj-1) * e1v(ji ,jj-1) / e2v(ji ,jj-1) ! south coefficient |
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| 114 | zcoefw = -zcoef * hu(ji-1,jj ) * e2u(ji-1,jj ) / e1u(ji-1,jj ) ! west coefficient |
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| 115 | zcoefe = -zcoef * hu(ji ,jj ) * e2u(ji ,jj ) / e1u(ji ,jj ) ! east coefficient |
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| 116 | zcoefn = -zcoef * hv(ji ,jj ) * e1v(ji ,jj ) / e2v(ji ,jj ) ! north coefficient |
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| 117 | gcp(ji,jj,1) = zcoefs |
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| 118 | gcp(ji,jj,2) = zcoefw |
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| 119 | gcp(ji,jj,3) = zcoefe |
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| 120 | gcp(ji,jj,4) = zcoefn |
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| 121 | gcdmat(ji,jj) = e1t(ji,jj) * e2t(ji,jj) * bmask(ji,jj) & ! diagonal coefficient |
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[16] | 122 | & - zcoefs -zcoefw -zcoefe -zcoefn |
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[3] | 123 | END DO |
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| 124 | END DO |
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| 125 | |
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[359] | 126 | # elif defined key_dynspg_flt && defined key_obc |
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| 127 | !!cr ELSEIF( lk_dynspg_flt .AND. lk_obc ) THEN !bug missing lk_dynspg_flt_atsk |
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[3] | 128 | |
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| 129 | ! defined gcdmat in the case of open boundaries |
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| 130 | |
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| 131 | DO jj = 2, jpjm1 |
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| 132 | DO ji = 2, jpim1 |
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[16] | 133 | zcoef = z2dt * z2dt * grav * rnu * bmask(ji,jj) |
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[3] | 134 | ! south coefficient |
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[85] | 135 | IF( lp_obc_south .AND. ( jj == njs0p1 ) ) THEN |
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[3] | 136 | zcoefs = -zcoef * hv(ji,jj-1) * e1v(ji,jj-1)/e2v(ji,jj-1)*(1.-vsmsk(ji,1)) |
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| 137 | ELSE |
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| 138 | zcoefs = -zcoef * hv(ji,jj-1) * e1v(ji,jj-1)/e2v(ji,jj-1) |
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| 139 | END IF |
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| 140 | gcp(ji,jj,1) = zcoefs |
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| 141 | |
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| 142 | ! west coefficient |
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[85] | 143 | IF( lp_obc_west .AND. ( ji == niw0p1 ) ) THEN |
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[3] | 144 | zcoefw = -zcoef * hu(ji-1,jj) * e2u(ji-1,jj)/e1u(ji-1,jj)*(1.-uwmsk(jj,1)) |
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| 145 | ELSE |
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| 146 | zcoefw = -zcoef * hu(ji-1,jj) * e2u(ji-1,jj)/e1u(ji-1,jj) |
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| 147 | END IF |
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| 148 | gcp(ji,jj,2) = zcoefw |
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| 149 | |
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| 150 | ! east coefficient |
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[85] | 151 | IF( lp_obc_east .AND. ( ji == nie0 ) ) THEN |
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[3] | 152 | zcoefe = -zcoef * hu(ji,jj) * e2u(ji,jj)/e1u(ji,jj)*(1.-uemsk(jj,1)) |
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| 153 | ELSE |
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| 154 | zcoefe = -zcoef * hu(ji,jj) * e2u(ji,jj)/e1u(ji,jj) |
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| 155 | END IF |
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| 156 | gcp(ji,jj,3) = zcoefe |
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| 157 | |
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| 158 | ! north coefficient |
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[85] | 159 | IF( lp_obc_north .AND. ( jj == njn0 ) ) THEN |
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[3] | 160 | zcoefn = -zcoef * hv(ji,jj) * e1v(ji,jj)/e2v(ji,jj)*(1.-vnmsk(ji,1)) |
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| 161 | ELSE |
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| 162 | zcoefn = -zcoef * hv(ji,jj) * e1v(ji,jj)/e2v(ji,jj) |
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| 163 | END IF |
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| 164 | gcp(ji,jj,4) = zcoefn |
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| 165 | |
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| 166 | ! diagonal coefficient |
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| 167 | gcdmat(ji,jj) = e1t(ji,jj)*e2t(ji,jj)*bmask(ji,jj) & |
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| 168 | - zcoefs -zcoefw -zcoefe -zcoefn |
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| 169 | END DO |
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| 170 | END DO |
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| 171 | |
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| 172 | # else |
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[16] | 173 | !!cr ELSE |
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[3] | 174 | |
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| 175 | ! defined the coefficients for bsf elliptic system |
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| 176 | |
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| 177 | DO jj = 2, jpjm1 |
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| 178 | DO ji = 2, jpim1 |
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| 179 | zcoefs = -hur(ji ,jj ) * e1u(ji ,jj ) / e2u(ji ,jj ) * bmask(ji,jj) ! south coefficient |
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| 180 | zcoefw = -hvr(ji ,jj ) * e2v(ji ,jj ) / e1v(ji ,jj ) * bmask(ji,jj) ! west coefficient |
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| 181 | zcoefe = -hvr(ji+1,jj ) * e2v(ji+1,jj ) / e1v(ji+1,jj ) * bmask(ji,jj) ! east coefficient |
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| 182 | zcoefn = -hur(ji ,jj+1) * e1u(ji ,jj+1) / e2u(ji ,jj+1) * bmask(ji,jj) ! north coefficient |
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| 183 | gcp(ji,jj,1) = zcoefs |
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| 184 | gcp(ji,jj,2) = zcoefw |
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| 185 | gcp(ji,jj,3) = zcoefe |
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| 186 | gcp(ji,jj,4) = zcoefn |
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| 187 | gcdmat(ji,jj) = -zcoefs -zcoefw -zcoefe -zcoefn ! diagonal coefficient |
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| 188 | END DO |
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| 189 | END DO |
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| 190 | |
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[16] | 191 | !!cr ENDIF |
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[3] | 192 | #endif |
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[392] | 193 | #if defined key_agrif |
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[389] | 194 | IF (.NOT.AGRIF_ROOT()) THEN |
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| 195 | |
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| 196 | IF ( (nbondi == -1) .OR. (nbondi == 2) ) bmask(2,:)=0. |
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| 197 | IF ( (nbondi == 1) .OR. (nbondi == 2) ) bmask(nlci-1,:)=0. |
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| 198 | IF ( (nbondj == -1) .OR. (nbondj == 2) ) bmask(:,2)=0. |
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| 199 | IF ( (nbondj == 1) .OR. (nbondj == 2) ) bmask(:,nlcj-1)=0. |
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[3] | 200 | |
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[389] | 201 | DO jj = 2, jpjm1 |
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| 202 | DO ji = 2, jpim1 |
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| 203 | zcoef = z2dt * z2dt * grav * rnu * bmask(ji,jj) |
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| 204 | ! south coefficient |
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| 205 | IF( ((nbondj == -1) .OR. (nbondj == 2)) .AND. ( jj == 3 ) ) THEN |
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| 206 | zcoefs = -zcoef * hv(ji,jj-1) * e1v(ji,jj-1)/e2v(ji,jj-1)*(1.-vmask(ji,jj-1,1)) |
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| 207 | ELSE |
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| 208 | zcoefs = -zcoef * hv(ji,jj-1) * e1v(ji,jj-1)/e2v(ji,jj-1) |
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| 209 | END IF |
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| 210 | gcp(ji,jj,1) = zcoefs |
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| 211 | |
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| 212 | ! west coefficient |
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| 213 | IF( ( (nbondi == -1) .OR. (nbondi == 2) ) .AND. ( ji == 3 ) ) THEN |
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| 214 | zcoefw = -zcoef * hu(ji-1,jj) * e2u(ji-1,jj)/e1u(ji-1,jj)*(1.-umask(ji-1,jj,1)) |
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| 215 | ELSE |
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| 216 | zcoefw = -zcoef * hu(ji-1,jj) * e2u(ji-1,jj)/e1u(ji-1,jj) |
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| 217 | END IF |
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| 218 | gcp(ji,jj,2) = zcoefw |
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| 219 | |
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| 220 | ! east coefficient |
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| 221 | IF( ((nbondi == 1) .OR. (nbondi == 2)) .AND. ( ji == nlci-2 ) ) THEN |
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| 222 | zcoefe = -zcoef * hu(ji,jj) * e2u(ji,jj)/e1u(ji,jj)*(1.-umask(ji,jj,1)) |
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| 223 | ELSE |
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| 224 | zcoefe = -zcoef * hu(ji,jj) * e2u(ji,jj)/e1u(ji,jj) |
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| 225 | END IF |
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| 226 | gcp(ji,jj,3) = zcoefe |
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| 227 | |
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| 228 | ! north coefficient |
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| 229 | IF( ((nbondj == 1) .OR. (nbondj == 2)) .AND. ( jj == nlcj-2 ) ) THEN |
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| 230 | zcoefn = -zcoef * hv(ji,jj) * e1v(ji,jj)/e2v(ji,jj)*(1.-vmask(ji,jj,1)) |
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| 231 | ELSE |
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| 232 | zcoefn = -zcoef * hv(ji,jj) * e1v(ji,jj)/e2v(ji,jj) |
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| 233 | END IF |
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| 234 | gcp(ji,jj,4) = zcoefn |
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| 235 | |
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| 236 | ! diagonal coefficient |
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| 237 | gcdmat(ji,jj) = e1t(ji,jj)*e2t(ji,jj)*bmask(ji,jj) & |
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| 238 | - zcoefs -zcoefw -zcoefe -zcoefn |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | |
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| 242 | ENDIF |
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| 243 | #endif |
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| 244 | |
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[3] | 245 | ! 2. Boundary conditions |
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| 246 | ! ---------------------- |
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| 247 | |
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| 248 | ! Cyclic east-west boundary conditions |
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| 249 | ! ji=2 is the column east of ji=jpim1 and reciprocally, |
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| 250 | ! ji=jpim1 is the column west of ji=2 |
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| 251 | ! all the coef are already set to zero as bmask is initialized to |
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| 252 | ! zero for ji=1 and ji=jpj in dommsk. |
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| 253 | |
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| 254 | ! Symetrical conditions |
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| 255 | ! free surface: no specific action |
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| 256 | ! bsf system: n-s gradient of bsf = 0 along j=2 (perhaps a bug !!!!!!) |
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| 257 | ! the diagonal coefficient of the southern grid points must be modify to |
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| 258 | ! account for the existence of the south symmetric bassin. |
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| 259 | |
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[359] | 260 | !!cr IF( .NOT.lk_dynspg_flt ) THEN !bug missing lk_dynspg_flt_atsk |
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| 261 | #if ! defined key_dynspg_flt |
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[3] | 262 | IF( nperio == 2 ) THEN |
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| 263 | DO ji = 1, jpi |
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| 264 | IF( bmask(ji,2) /= 0.e0 ) THEN |
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| 265 | zcoefs = - hur(ji,2)*e1u(ji,2)/e2u(ji,2) |
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| 266 | gcdmat(ji,2) = gcdmat(ji,2) - zcoefs |
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| 267 | ENDIF |
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| 268 | END DO |
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| 269 | ENDIF |
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[16] | 270 | !!cr ENDIF |
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[3] | 271 | #endif |
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| 272 | |
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| 273 | ! North fold boundary condition |
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| 274 | ! all the coef are already set to zero as bmask is initialized to |
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| 275 | ! zero on duplicated lignes and portion of lignes |
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| 276 | |
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| 277 | ! 3. Preconditioned matrix |
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| 278 | ! ------------------------ |
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| 279 | |
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| 280 | IF( nsolv /= 3 ) THEN |
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| 281 | |
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| 282 | ! SOR and PCG solvers |
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| 283 | DO jj = 1, jpj |
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| 284 | DO ji = 1, jpi |
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[111] | 285 | IF( bmask(ji,jj) /= 0.e0 ) gcdprc(ji,jj) = 1.e0 / gcdmat(ji,jj) |
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[3] | 286 | END DO |
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| 287 | END DO |
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| 288 | |
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| 289 | gcp(:,:,1) = gcp(:,:,1) * gcdprc(:,:) |
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| 290 | gcp(:,:,2) = gcp(:,:,2) * gcdprc(:,:) |
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| 291 | gcp(:,:,3) = gcp(:,:,3) * gcdprc(:,:) |
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| 292 | gcp(:,:,4) = gcp(:,:,4) * gcdprc(:,:) |
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[784] | 293 | IF( nsolv == 2 ) gccd(:,:) = sor * gcp(:,:,2) |
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[3] | 294 | |
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[784] | 295 | IF( nsolv == 2 .AND. MAX( jpr2di, jpr2dj ) > 0) THEN |
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[312] | 296 | CALL lbc_lnk_e( gcp (:,:,1), c_solver_pt, 1. ) ! lateral boundary conditions |
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| 297 | CALL lbc_lnk_e( gcp (:,:,2), c_solver_pt, 1. ) ! lateral boundary conditions |
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| 298 | CALL lbc_lnk_e( gcp (:,:,3), c_solver_pt, 1. ) ! lateral boundary conditions |
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| 299 | CALL lbc_lnk_e( gcp (:,:,4), c_solver_pt, 1. ) ! lateral boundary conditions |
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| 300 | CALL lbc_lnk_e( gcdprc(:,:) , c_solver_pt, 1. ) ! lateral boundary conditions |
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| 301 | CALL lbc_lnk_e( gcdmat(:,:) , c_solver_pt, 1. ) ! lateral boundary conditions |
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| 302 | IF( npolj /= 0 ) CALL sol_exd( gcp , c_solver_pt ) ! switch northernelements |
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| 303 | END IF |
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| 304 | |
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[3] | 305 | ELSE |
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| 306 | |
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| 307 | ! FETI method |
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| 308 | ! if feti solver : gcdprc is a mask for the non-overlapping |
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| 309 | ! data structuring |
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| 310 | |
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| 311 | DO jj = 1, jpj |
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| 312 | DO ji = 1, jpi |
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[111] | 313 | IF( bmask(ji,jj) /= 0.e0 ) THEN |
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| 314 | gcdprc(ji,jj) = 1.e0 |
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[3] | 315 | ELSE |
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[111] | 316 | gcdprc(ji,jj) = 0.e0 |
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[3] | 317 | ENDIF |
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| 318 | END DO |
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| 319 | END DO |
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| 320 | |
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| 321 | ! so "common" line & "common" column have to be !=0 except on global |
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| 322 | ! domain boundaries |
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| 323 | ! pbs with nbondi if nperio != 2 ? |
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| 324 | ! ii = nldi-1 |
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| 325 | ! pb with nldi value if jperio==1 : nbondi modifyed at the end |
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| 326 | ! of inimpp.F => pb |
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| 327 | ! pb with periodicity conditions : iiend, ijend |
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| 328 | |
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| 329 | ijend = nlej |
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| 330 | iiend = nlei |
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| 331 | IF( jperio == 1 .OR. jperio == 4 .OR. jperio == 6 ) iiend = nlci - jpreci |
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| 332 | ii = jpreci |
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| 333 | |
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| 334 | ! case number 1 |
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| 335 | |
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| 336 | IF( nbondi /= -1 .AND. nbondi /= 2 ) THEN |
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| 337 | DO jj = 1, ijend |
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| 338 | IF( fmask(ii,jj,1) == 1. ) gcdprc(ii,jj) = 1. |
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| 339 | END DO |
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| 340 | ENDIF |
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| 341 | |
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| 342 | ! case number 2 |
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| 343 | |
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| 344 | IF( nperio == 1 .OR. nperio == 4 .OR. nperio == 6 ) THEN |
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| 345 | DO jj = 1, ijend |
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| 346 | IF( fmask(ii,jj,1) == 1. ) gcdprc(ii,jj) = 1. |
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| 347 | END DO |
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| 348 | ENDIF |
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| 349 | |
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| 350 | ! ij = nldj-1 |
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| 351 | ! pb with nldi value if jperio==1 : nbondi modifyed at the end |
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| 352 | ! of inimpp.F => pb, here homogeneisation... |
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| 353 | |
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| 354 | ij = jprecj |
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| 355 | IF( nbondj /= -1 .AND. nbondj /= 2 ) THEN |
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| 356 | DO ji = 1, iiend |
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| 357 | IF( fmask(ji,ij,1) == 1. ) gcdprc(ji,ij) = 1. |
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| 358 | END DO |
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| 359 | ENDIF |
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| 360 | ENDIF |
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| 361 | |
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| 362 | |
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| 363 | ! 4. Initialization the arrays used in pcg |
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| 364 | ! ---------------------------------------- |
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| 365 | gcb (:,:) = 0.e0 |
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| 366 | gcr (:,:) = 0.e0 |
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| 367 | gcdes(:,:) = 0.e0 |
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| 368 | gccd (:,:) = 0.e0 |
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| 369 | |
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| 370 | ! FETI method |
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| 371 | IF( nsolv == 3 ) THEN |
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| 372 | CALL fetmat ! Matrix treatment : Neumann condition, inverse computation |
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| 373 | CALL fetsch ! data framework for the Schur Dual solver |
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| 374 | ENDIF |
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| 375 | |
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| 376 | END SUBROUTINE sol_mat |
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| 377 | |
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[312] | 378 | |
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| 379 | SUBROUTINE sol_exd( pt3d, cd_type ) |
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| 380 | !!---------------------------------------------------------------------- |
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| 381 | !! *** routine sol_exd *** |
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| 382 | !! |
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| 383 | !! ** Purpose : Reorder gcb coefficient on the extra outer halo |
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| 384 | !! at north fold in case of T or F pivot |
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| 385 | !! |
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| 386 | !! ** Method : Perform a circular permutation of the coefficients on |
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| 387 | !! the total area strictly above the pivot point, |
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| 388 | !! and on the semi-row of the pivot point |
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| 389 | !! |
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| 390 | !! History : |
---|
| 391 | !! 9.0 ! 05-09 (R. Benshila) original routine |
---|
| 392 | !!---------------------------------------------------------------------- |
---|
| 393 | !! * Arguments |
---|
| 394 | CHARACTER(len=1) , INTENT( in ) :: & |
---|
| 395 | cd_type ! define the nature of pt2d array grid-points |
---|
| 396 | ! ! = T , U , V , F , W |
---|
| 397 | ! ! = S : T-point, north fold treatment |
---|
| 398 | ! ! = G : F-point, north fold treatment |
---|
| 399 | ! ! = I : sea-ice velocity at F-point with index shift |
---|
| 400 | REAL(wp), DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj,4), INTENT( inout ) :: & |
---|
| 401 | pt3d ! 2D array on which the boundary condition is applied |
---|
| 402 | |
---|
| 403 | !! * Local variables |
---|
| 404 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 405 | INTEGER :: iloc ! temporary integers |
---|
| 406 | REAL(wp), DIMENSION(1-jpr2di:jpi+jpr2di,1-jpr2dj:jpj+jpr2dj,4) :: & |
---|
| 407 | ztab ! 2D array on which the boundary condition is applied |
---|
| 408 | !!---------------------------------------------------------------------- |
---|
| 409 | |
---|
| 410 | ztab = pt3d |
---|
| 411 | |
---|
| 412 | ! north fold treatment |
---|
| 413 | ! ----------------------- |
---|
| 414 | |
---|
| 415 | SELECT CASE ( npolj ) |
---|
| 416 | |
---|
| 417 | CASE ( 3 , 4 ) ! T pivot |
---|
| 418 | iloc = jpiglo/2 +1 |
---|
| 419 | |
---|
| 420 | SELECT CASE ( cd_type ) |
---|
| 421 | |
---|
| 422 | CASE ( 'T', 'S', 'U', 'W' ) |
---|
| 423 | DO jk =1, 4 |
---|
| 424 | DO ji = 1-jpr2di, nlci+jpr2di |
---|
| 425 | pt3d(ji,nlcj:nlcj+jpr2dj,jk) = ztab(ji,nlcj:nlcj+jpr2dj,jk+3-2*MOD(jk+3,4)) |
---|
| 426 | ENDDO |
---|
| 427 | ENDDO |
---|
| 428 | |
---|
| 429 | DO jk =1, 4 |
---|
| 430 | DO ji = nlci+jpr2di, 1-jpr2di, -1 |
---|
| 431 | IF( ( ji .LT. mi0(iloc) .AND. mi0(iloc) /= 1 ) & |
---|
| 432 | & .OR. ( mi0(iloc) == jpi+1 ) ) EXIT |
---|
| 433 | pt3d(ji,nlcj-1,jk) = ztab(ji,nlcj-1,jk+3-2*MOD(jk+3,4)) |
---|
| 434 | ENDDO |
---|
| 435 | ENDDO |
---|
| 436 | |
---|
| 437 | CASE ( 'F' ,'G' , 'I', 'V' ) |
---|
| 438 | DO jk =1, 4 |
---|
| 439 | DO ji = 1-jpr2di, nlci+jpr2di |
---|
| 440 | pt3d(ji,nlcj-1:nlcj+jpr2dj,jk) = ztab(ji,nlcj-1:nlcj+jpr2dj,jk+3-2*MOD(jk+3,4)) |
---|
| 441 | ENDDO |
---|
| 442 | ENDDO |
---|
| 443 | |
---|
| 444 | END SELECT ! cd_type |
---|
| 445 | |
---|
| 446 | CASE ( 5 , 6 ) ! F pivot |
---|
| 447 | iloc=jpiglo/2 |
---|
| 448 | |
---|
| 449 | SELECT CASE (cd_type ) |
---|
| 450 | |
---|
| 451 | CASE ( 'T' ,'S', 'U', 'W') |
---|
| 452 | DO jk =1, 4 |
---|
| 453 | DO ji = 1-jpr2di, nlci+jpr2di |
---|
| 454 | pt3d(ji,nlcj:nlcj+jpr2dj,jk) = ztab(ji,nlcj:nlcj+jpr2dj,jk+3-2*MOD(jk+3,4)) |
---|
| 455 | ENDDO |
---|
| 456 | ENDDO |
---|
| 457 | |
---|
| 458 | CASE ( 'F' ,'G' , 'I', 'V' ) |
---|
| 459 | DO jk =1, 4 |
---|
| 460 | DO ji = 1-jpr2di, nlci+jpr2di |
---|
| 461 | pt3d(ji,nlcj:nlcj+jpr2dj,jk) = ztab(ji,nlcj:nlcj+jpr2dj,jk+3-2*MOD(jk+3,4)) |
---|
| 462 | ENDDO |
---|
| 463 | ENDDO |
---|
| 464 | DO jk =1, 4 |
---|
| 465 | DO ji = nlci+jpr2di, 1-jpr2di, -1 |
---|
| 466 | IF ( ( ji .LT. mi0(iloc) .AND. mi0(iloc) /= 1 ) & |
---|
| 467 | & .OR. ( mi0(iloc) == jpi+1 ) ) EXIT |
---|
| 468 | pt3d(ji,nlcj-1,jk) = ztab(ji,nlcj-1,jk+3-2*MOD(jk+3,4)) |
---|
| 469 | ENDDO |
---|
| 470 | ENDDO |
---|
| 471 | |
---|
| 472 | END SELECT ! cd_type |
---|
| 473 | |
---|
| 474 | END SELECT ! npolj |
---|
| 475 | |
---|
| 476 | END SUBROUTINE sol_exd |
---|
| 477 | |
---|
[3] | 478 | #if defined key_feti |
---|
| 479 | |
---|
| 480 | SUBROUTINE fetstr |
---|
| 481 | !!--------------------------------------------------------------------- |
---|
| 482 | !! *** ROUTINE fetstr *** |
---|
| 483 | !! |
---|
| 484 | !! ** Purpose : Construction of the matrix of the barotropic stream |
---|
| 485 | !! function system. |
---|
| 486 | !! Finite Elements Tearing & Interconnecting (FETI) approach |
---|
| 487 | !! Memory allocation and interface definition for the solver |
---|
| 488 | !! |
---|
| 489 | !! ** Method : |
---|
| 490 | !! |
---|
| 491 | !! References : |
---|
| 492 | !! Guyon, M, Roux, F-X, Chartier, M and Fraunie, P, 1994 : |
---|
| 493 | !! A domain decomposition solver to compute the barotropic |
---|
| 494 | !! component of an OGCM in the parallel processing field. |
---|
| 495 | !! Ocean Modelling, issue 105, december 94. |
---|
| 496 | !! |
---|
| 497 | !! History : |
---|
| 498 | !! ! 98-02 (M. Guyon) Original code |
---|
| 499 | !! 8.5 ! 02-09 (G. Madec) F90: Free form and module |
---|
| 500 | !!---------------------------------------------------------------------- |
---|
| 501 | !! * Modules used |
---|
| 502 | USE lib_feti ! feti librairy |
---|
| 503 | !! * Local declarations |
---|
| 504 | INTEGER :: iiend, ijend, iperio ! temporary integers |
---|
| 505 | !!--------------------------------------------------------------------- |
---|
| 506 | |
---|
| 507 | |
---|
| 508 | ! Preconditioning technics of the Dual Schur Operator |
---|
| 509 | ! <= definition of the Coarse Grid solver |
---|
| 510 | ! <= dimension of the nullspace of the local operators |
---|
| 511 | ! <= Neumann boundaries conditions |
---|
| 512 | |
---|
| 513 | ! 0. Initializations |
---|
| 514 | ! ------------------ |
---|
| 515 | |
---|
| 516 | ndkerep = 1 |
---|
| 517 | |
---|
| 518 | ! initialization of the superstructures management |
---|
| 519 | |
---|
| 520 | malxm = 1 |
---|
| 521 | malim = 1 |
---|
| 522 | |
---|
| 523 | ! memory space for the pcpg associated with the FETI dual formulation |
---|
| 524 | ! ndkerep is associated to the list of rigid modes, |
---|
| 525 | ! ndkerep == 1 because the Dual Operator |
---|
| 526 | ! is a first order operator due to SPG elliptic Operator is a |
---|
| 527 | ! second order operator |
---|
| 528 | |
---|
| 529 | nim = 50 |
---|
| 530 | nim = nim + ndkerep |
---|
| 531 | nim = nim + 2*jpi + 2*jpj |
---|
| 532 | nim = nim + jpi*jpj |
---|
| 533 | |
---|
| 534 | nxm = 33 |
---|
| 535 | nxm = nxm + 4*jpnij |
---|
| 536 | nxm = nxm + 19*(jpi+jpj) |
---|
| 537 | nxm = nxm + 13*jpi*jpj |
---|
| 538 | nxm = nxm + jpi*jpi*jpj |
---|
| 539 | |
---|
| 540 | ! krylov space memory |
---|
| 541 | |
---|
| 542 | iperio = 0 |
---|
| 543 | IF( jperio == 1 .OR. jperio == 4 .OR. jperio == 6) iperio = 1 |
---|
| 544 | nxm = nxm + 3*(jpnij-jpni)*jpi |
---|
| 545 | nxm = nxm + 3*(jpnij-jpnj+iperio)*jpj |
---|
| 546 | nxm = nxm + 2*(jpi+jpj)*(jpnij-jpni)*jpi |
---|
| 547 | nxm = nxm + 2*(jpi+jpj)*(jpnij-jpnj+iperio)*jpj |
---|
| 548 | |
---|
| 549 | ! Resolution with the Schur dual Method ( frontal and local solver by |
---|
| 550 | ! blocks |
---|
| 551 | ! Case with a local symetrical matrix |
---|
| 552 | ! The local matrix is stored in a multi-column form |
---|
| 553 | ! The total number of nodes for this subdomain is named "noeuds" |
---|
| 554 | |
---|
| 555 | noeuds = jpi*jpj |
---|
| 556 | nifmat = jpi-1 |
---|
| 557 | njfmat = jpj-1 |
---|
| 558 | nelem = nifmat*njfmat |
---|
| 559 | npe = 4 |
---|
| 560 | nmorse = 5*noeuds |
---|
| 561 | |
---|
| 562 | ! 1. mesh building |
---|
| 563 | ! ---------------- |
---|
| 564 | |
---|
| 565 | ! definition of specific information for a subdomain |
---|
| 566 | ! narea : subdomain number = processor number +1 |
---|
| 567 | ! ninterf : neighbour subdomain number |
---|
| 568 | ! nni : interface point number |
---|
| 569 | ! ndvois array : neighbour subdomain list |
---|
| 570 | ! maplistin array : node pointer at each interface |
---|
| 571 | ! maplistin array : concatened list of interface nodes |
---|
| 572 | |
---|
| 573 | ! messag coding is necessary by interface type for avoid collision |
---|
| 574 | ! if nperio == 1 |
---|
| 575 | |
---|
| 576 | ! lint array : indoor interface list / type |
---|
| 577 | ! lext array : outdoor interface list / type |
---|
| 578 | |
---|
| 579 | ! domain with jpniXjpnj subdomains |
---|
| 580 | |
---|
| 581 | CALL feti_inisub(nifmat,njfmat,nbondi,nbondj,nperio, & |
---|
| 582 | nbsw,nbnw,nbse,nbne,ninterf,ninterfc,nni,nnic) |
---|
| 583 | |
---|
| 584 | CALL feti_creadr(malim,malimax,nim,3*ninterf ,mandvois ,'ndvois' ) |
---|
| 585 | CALL feti_creadr(malim,malimax,nim,3*ninterfc,mandvoisc,'ndvoisc') |
---|
| 586 | CALL feti_creadr(malim,malimax,nim,ninterfc+1,maplistin,'plistin') |
---|
| 587 | CALL feti_creadr(malim,malimax,nim,nnic ,malistin ,'listin' ) |
---|
| 588 | |
---|
| 589 | ! pb with periodicity conditions : iiend, ijend |
---|
| 590 | |
---|
| 591 | ijend = nlej |
---|
| 592 | iiend = nlei |
---|
| 593 | IF (jperio == 1) iiend = nlci - jpreci |
---|
| 594 | |
---|
| 595 | CALL feti_subound(nifmat,njfmat,nldi,iiend,nldj,ijend, & |
---|
| 596 | narea,nbondi,nbondj,nperio, & |
---|
| 597 | ninterf,ninterfc, & |
---|
| 598 | nowe,noea,noso,nono, & |
---|
| 599 | nbsw,nbnw,nbse,nbne, & |
---|
| 600 | npsw,npnw,npse,npne, & |
---|
| 601 | mfet(mandvois),mfet(mandvoisc), & |
---|
| 602 | mfet(maplistin),nnic,mfet(malistin) ) |
---|
| 603 | |
---|
| 604 | END SUBROUTINE fetstr |
---|
| 605 | |
---|
| 606 | |
---|
| 607 | SUBROUTINE fetmat |
---|
| 608 | !!--------------------------------------------------------------------- |
---|
| 609 | !! *** ROUTINE fetmat *** |
---|
| 610 | !! |
---|
| 611 | !! ** Purpose : Construction of the matrix of the barotropic stream |
---|
| 612 | !! function system. |
---|
| 613 | !! Finite Elements Tearing & Interconnecting (FETI) approach |
---|
| 614 | !! Matrix treatment : Neumann condition, inverse computation |
---|
| 615 | !! |
---|
| 616 | !! ** Method : |
---|
| 617 | !! |
---|
| 618 | !! References : |
---|
| 619 | !! Guyon, M, Roux, F-X, Chartier, M and Fraunie, P, 1994 : |
---|
| 620 | !! A domain decomposition solver to compute the barotropic |
---|
| 621 | !! component of an OGCM in the parallel processing field. |
---|
| 622 | !! Ocean Modelling, issue 105, december 94. |
---|
| 623 | !! |
---|
| 624 | !! History : |
---|
| 625 | !! ! 98-02 (M. Guyon) Original code |
---|
| 626 | !! 8.5 ! 02-09 (G. Madec) F90: Free form and module |
---|
| 627 | !!---------------------------------------------------------------------- |
---|
| 628 | !! * Modules used |
---|
| 629 | USE lib_feti ! feti librairy |
---|
| 630 | !! * Local declarations |
---|
| 631 | INTEGER :: ji, jj, jk, jl |
---|
| 632 | INTEGER :: iimask(jpi,jpj) |
---|
| 633 | INTEGER :: iiend, ijend |
---|
| 634 | REAL(wp) :: zres, zres2, zdemi |
---|
| 635 | !!--------------------------------------------------------------------- |
---|
| 636 | |
---|
| 637 | ! Matrix computation |
---|
| 638 | ! ------------------ |
---|
| 639 | |
---|
| 640 | CALL feti_creadr(malxm,malxmax,nxm,nmorse,maan,'matrice a') |
---|
| 641 | |
---|
| 642 | nnitot = nni |
---|
| 643 | |
---|
[16] | 644 | CALL mpp_sum( nnitot, 1, numit0ete ) |
---|
[3] | 645 | CALL feti_creadr(malxm,malxmax,nxm,npe*npe,maae,'ae') |
---|
| 646 | |
---|
| 647 | ! initialisation of the local barotropic matrix |
---|
| 648 | ! local boundary conditions on the halo |
---|
| 649 | |
---|
| 650 | CALL lbc_lnk( gcp(:,:,1), 'F', 1) |
---|
| 651 | CALL lbc_lnk( gcp(:,:,2), 'F', 1) |
---|
| 652 | CALL lbc_lnk( gcp(:,:,3), 'F', 1) |
---|
| 653 | CALL lbc_lnk( gcp(:,:,4), 'F', 1) |
---|
| 654 | CALL lbc_lnk( gcdmat , 'T', 1) |
---|
| 655 | |
---|
| 656 | ! Neumann conditions |
---|
| 657 | ! initialisation of the integer Neumann Mask |
---|
| 658 | |
---|
| 659 | CALL feti_iclr(jpi*jpj,iimask) |
---|
| 660 | DO jj = 1, jpj |
---|
| 661 | DO ji = 1, jpi |
---|
| 662 | iimask(ji,jj) = INT( gcdprc(ji,jj) ) |
---|
| 663 | END DO |
---|
| 664 | END DO |
---|
| 665 | |
---|
| 666 | ! regularization of the local matrix |
---|
| 667 | |
---|
| 668 | DO jj = 1, jpj |
---|
| 669 | DO ji = 1, jpi |
---|
| 670 | gcdmat(ji,jj) = gcdmat(ji,jj) * gcdprc(ji,jj) + 1. - gcdprc(ji,jj) |
---|
| 671 | END DO |
---|
| 672 | END DO |
---|
| 673 | |
---|
| 674 | DO jk = 1, 4 |
---|
| 675 | DO jj = 1, jpj |
---|
| 676 | DO ji = 1, jpi |
---|
| 677 | gcp(ji,jj,jk) = gcp(ji,jj,jk) * gcdprc(ji,jj) |
---|
| 678 | END DO |
---|
| 679 | END DO |
---|
| 680 | END DO |
---|
| 681 | |
---|
| 682 | ! implementation of the west, east, north & south Neumann conditions |
---|
| 683 | |
---|
| 684 | zdemi = 0.5 |
---|
| 685 | |
---|
| 686 | ! pb with periodicity conditions : iiend, ijend |
---|
| 687 | |
---|
| 688 | ijend = nlej |
---|
| 689 | iiend = nlei |
---|
| 690 | IF( jperio == 1 .OR. jperio == 4 .OR. jperio == 6 ) iiend = nlci - jpreci |
---|
| 691 | |
---|
| 692 | IF( nbondi == 2 .AND. (nperio /= 1 .OR. nperio /= 4 .OR. nperio == 6) ) THEN |
---|
| 693 | |
---|
| 694 | ! with the periodicity : no east/west interface if nbondi = 2 |
---|
| 695 | ! and nperio != 1 |
---|
| 696 | |
---|
| 697 | ELSE |
---|
| 698 | ! west |
---|
| 699 | IF( nbondi /= -1 ) THEN |
---|
| 700 | DO jj = 1, jpj |
---|
| 701 | IF( iimask(1,jj) /= 0 ) THEN |
---|
[111] | 702 | gcp(1,jj,2) = 0.e0 |
---|
[3] | 703 | gcp(1,jj,1) = zdemi * gcp(1,jj,1) |
---|
| 704 | gcp(1,jj,4) = zdemi * gcp(1,jj,4) |
---|
| 705 | ENDIF |
---|
| 706 | END DO |
---|
| 707 | DO jj = 1, jpj |
---|
| 708 | IF( iimask(1,jj) /= 0 ) THEN |
---|
| 709 | gcdmat(1,jj) = - ( gcp(1,jj,1) + gcp(1,jj,2) + gcp(1,jj,3) + gcp(1,jj,4) ) |
---|
| 710 | ENDIF |
---|
| 711 | END DO |
---|
| 712 | ENDIF |
---|
| 713 | ! east |
---|
| 714 | IF( nbondi /= 1 ) THEN |
---|
| 715 | DO jj = 1, jpj |
---|
| 716 | IF( iimask(iiend,jj) /= 0 ) THEN |
---|
[111] | 717 | gcp(iiend,jj,3) = 0.e0 |
---|
[3] | 718 | gcp(iiend,jj,1) = zdemi * gcp(iiend,jj,1) |
---|
| 719 | gcp(iiend,jj,4) = zdemi * gcp(iiend,jj,4) |
---|
| 720 | ENDIF |
---|
| 721 | END DO |
---|
| 722 | DO jj = 1, jpj |
---|
| 723 | IF( iimask(iiend,jj) /= 0 ) THEN |
---|
| 724 | gcdmat(iiend,jj) = - ( gcp(iiend,jj,1) + gcp(iiend,jj,2) & |
---|
| 725 | + gcp(iiend,jj,3) + gcp(iiend,jj,4) ) |
---|
| 726 | ENDIF |
---|
| 727 | END DO |
---|
| 728 | ENDIF |
---|
| 729 | ENDIF |
---|
| 730 | |
---|
| 731 | ! south |
---|
| 732 | IF( nbondj /= -1 .AND. nbondj /= 2 ) THEN |
---|
| 733 | DO ji = 1, jpi |
---|
| 734 | IF( iimask(ji,1) /= 0 ) THEN |
---|
[111] | 735 | gcp(ji,1,1) = 0.e0 |
---|
[3] | 736 | gcp(ji,1,2) = zdemi * gcp(ji,1,2) |
---|
| 737 | gcp(ji,1,3) = zdemi * gcp(ji,1,3) |
---|
| 738 | ENDIF |
---|
| 739 | END DO |
---|
| 740 | DO ji = 1, jpi |
---|
| 741 | IF( iimask(ji,1) /= 0 ) THEN |
---|
| 742 | gcdmat(ji,1) = - ( gcp(ji,1,1) + gcp(ji,1,2) + gcp(ji,1,3) + gcp(ji,1,4) ) |
---|
| 743 | ENDIF |
---|
| 744 | END DO |
---|
| 745 | ENDIF |
---|
| 746 | |
---|
| 747 | ! north |
---|
| 748 | IF( nbondj /= 1 .AND. nbondj /= 2 ) THEN |
---|
| 749 | DO ji = 1, jpi |
---|
| 750 | IF( iimask(ji,ijend) /= 0 ) THEN |
---|
[111] | 751 | gcp(ji,ijend,4) = 0.e0 |
---|
[3] | 752 | gcp(ji,ijend,2) = zdemi * gcp(ji,ijend,2) |
---|
| 753 | gcp(ji,ijend,3) = zdemi * gcp(ji,ijend,3) |
---|
| 754 | ENDIF |
---|
| 755 | END DO |
---|
| 756 | DO ji = 1, jpi |
---|
| 757 | IF( iimask(ji,ijend) /= 0 ) THEN |
---|
| 758 | gcdmat(ji,ijend) = - ( gcp(ji,ijend,1) + gcp(ji,ijend,2) & |
---|
| 759 | + gcp(ji,ijend,3) + gcp(ji,ijend,4) ) |
---|
| 760 | ENDIF |
---|
| 761 | END DO |
---|
| 762 | ENDIF |
---|
| 763 | |
---|
| 764 | ! matrix terms are saved in FETI solver arrays |
---|
| 765 | CALL feti_vmov(noeuds,gcp(1,1,1),wfeti(maan)) |
---|
| 766 | CALL feti_vmov(noeuds,gcp(1,1,2),wfeti(maan+noeuds)) |
---|
| 767 | CALL feti_vmov(noeuds,gcdmat,wfeti(maan+2*noeuds)) |
---|
| 768 | CALL feti_vmov(noeuds,gcp(1,1,3),wfeti(maan+3*noeuds)) |
---|
| 769 | CALL feti_vmov(noeuds,gcp(1,1,4),wfeti(maan+4*noeuds)) |
---|
| 770 | |
---|
| 771 | ! construction of Dirichlet liberty degrees array |
---|
| 772 | CALL feti_subdir(nifmat,njfmat,noeuds,ndir,iimask) |
---|
| 773 | CALL feti_creadr(malim,malimax,nim,ndir,malisdir,'lisdir') |
---|
| 774 | CALL feti_listdir(jpi,jpj,iimask,ndir,mfet(malisdir)) |
---|
| 775 | |
---|
| 776 | ! stop onto matrix term for Dirichlet conditions |
---|
| 777 | CALL feti_blomat(nifmat+1,njfmat+1,wfeti(maan),ndir,mfet(malisdir)) |
---|
| 778 | |
---|
| 779 | ! reservation of factorized diagonal blocs and temporary array for |
---|
| 780 | ! factorization |
---|
| 781 | npblo = (njfmat+1) * (nifmat+1) * (nifmat+1) |
---|
| 782 | ndimax = nifmat+1 |
---|
| 783 | |
---|
| 784 | CALL feti_creadr(malxm,malxmax,nxm,npblo,mablo,'blo') |
---|
| 785 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,madia,'dia') |
---|
| 786 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,mav,'v') |
---|
| 787 | CALL feti_creadr(malxm,malxmax,nxm,ndimax*ndimax,mautil,'util') |
---|
| 788 | |
---|
| 789 | ! stoping the rigid modes |
---|
| 790 | |
---|
| 791 | ! the number of rigid modes =< Max [dim(Ker(Ep))] |
---|
| 792 | ! p=1,Np |
---|
| 793 | |
---|
| 794 | CALL feti_creadr(malim,malimax,nim,ndkerep,malisblo,'lisblo') |
---|
| 795 | |
---|
| 796 | ! Matrix factorization |
---|
| 797 | |
---|
| 798 | CALL feti_front(noeuds,nifmat+1,njfmat+1,wfeti(maan),npblo, & |
---|
| 799 | wfeti(mablo),wfeti(madia), & |
---|
| 800 | wfeti(mautil),wfeti(mav),ndlblo,mfet(malisblo),ndkerep) |
---|
| 801 | CALL feti_prext(noeuds,wfeti(madia)) |
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| 802 | |
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| 803 | ! virtual dealloc => we have to see for a light f90 version |
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| 804 | ! the super structure is removed to clean the coarse grid |
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| 805 | ! solver structure |
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| 806 | |
---|
| 807 | malxm = madia |
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| 808 | CALL feti_vclr(noeuds,wfeti(madia)) |
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| 809 | CALL feti_vclr(noeuds,wfeti(mav)) |
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| 810 | CALL feti_vclr(ndimax*ndimax,wfeti(mautil)) |
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| 811 | |
---|
| 812 | ! ndlblo is the dimension of the local nullspace .=<. the size of the |
---|
| 813 | ! memory of the superstructure associated to the nullspace : ndkerep |
---|
| 814 | ! ndkerep is introduced to avoid messages "out of bounds" when memory |
---|
| 815 | ! is checked |
---|
| 816 | |
---|
| 817 | ! copy matrix for Dirichlet condition |
---|
| 818 | |
---|
| 819 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,miax,'x') |
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| 820 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,may,'y') |
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| 821 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,maz,'z') |
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| 822 | |
---|
| 823 | ! stoping the rigid modes |
---|
| 824 | |
---|
| 825 | ! ndlblo is the dimension of the local nullspace .=<. the size of the |
---|
| 826 | ! memory of the superstructure associated to the nullspace : ndkerep |
---|
| 827 | ! ndkerep is introduced to avoid messages "out of bounds" when memory |
---|
| 828 | ! is checked |
---|
| 829 | |
---|
| 830 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep*noeuds,mansp,'nsp') |
---|
| 831 | CALL feti_blomat1(nifmat+1,njfmat+1,wfeti(maan),ndlblo, & |
---|
| 832 | mfet(malisblo),wfeti(mansp)) |
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| 833 | |
---|
| 834 | ! computation of operator kernel |
---|
| 835 | |
---|
| 836 | CALL feti_nullsp(noeuds,nifmat+1,njfmat+1,npblo,wfeti(mablo), & |
---|
| 837 | wfeti(maan),ndlblo,mfet(malisblo),wfeti(mansp), & |
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| 838 | wfeti(maz)) |
---|
| 839 | |
---|
| 840 | ! test of the factorisation onto each sub domain |
---|
| 841 | |
---|
| 842 | CALL feti_init(noeuds,wfeti(may)) |
---|
| 843 | CALL feti_blodir(noeuds,wfeti(may),ndir,mfet(malisdir)) |
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| 844 | CALL feti_blodir(noeuds,wfeti(may),ndlblo,mfet(malisblo)) |
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| 845 | CALL feti_vclr(noeuds,wfeti(miax)) |
---|
| 846 | CALL feti_resloc(noeuds,nifmat+1,njfmat+1,wfeti(maan),npblo, & |
---|
| 847 | wfeti(mablo),wfeti(may),wfeti(miax),wfeti(maz)) |
---|
| 848 | CALL feti_proax(noeuds,nifmat+1,njfmat+1,wfeti(maan),wfeti(miax), & |
---|
| 849 | wfeti(maz)) |
---|
| 850 | CALL feti_blodir(noeuds,wfeti(maz),ndlblo,mfet(malisblo)) |
---|
| 851 | CALL feti_vsub(noeuds,wfeti(may),wfeti(maz),wfeti(maz)) |
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| 852 | |
---|
[111] | 853 | zres2 = 0.e0 |
---|
[3] | 854 | DO jl = 1, noeuds |
---|
| 855 | zres2 = zres2 + wfeti(may+jl-1) * wfeti(may+jl-1) |
---|
| 856 | END DO |
---|
| 857 | CALL mpp_sum(zres2,1,zres) |
---|
| 858 | |
---|
[111] | 859 | res2 = 0.e0 |
---|
[3] | 860 | DO jl = 1, noeuds |
---|
| 861 | res2 = res2 + wfeti(maz+jl-1) * wfeti(maz+jl-1) |
---|
| 862 | END DO |
---|
| 863 | res2 = res2 / zres2 |
---|
| 864 | CALL mpp_sum(res2,1,zres) |
---|
| 865 | |
---|
| 866 | res2 = SQRT(res2) |
---|
| 867 | IF(lwp) WRITE(numout,*) 'global residu : sqrt((Ax-b,Ax-b)/(b.b)) =', res2 |
---|
| 868 | |
---|
| 869 | IF( res2 > (eps/100.) ) THEN |
---|
| 870 | IF(lwp) WRITE (numout,*) 'eps is :',eps |
---|
| 871 | IF(lwp) WRITE (numout,*) 'factorized matrix precision :',res2 |
---|
| 872 | STOP |
---|
| 873 | ENDIF |
---|
| 874 | |
---|
| 875 | END SUBROUTINE fetmat |
---|
| 876 | |
---|
| 877 | |
---|
| 878 | SUBROUTINE fetsch |
---|
| 879 | !!--------------------------------------------------------------------- |
---|
| 880 | !! *** ROUTINE fetsch *** |
---|
| 881 | !! |
---|
| 882 | !! ** Purpose : |
---|
| 883 | !! Construction of the matrix of the barotropic stream function |
---|
| 884 | !! system. |
---|
| 885 | !! Finite Elements Tearing & Interconnecting (FETI) approach |
---|
| 886 | !! Data framework for the Schur Dual solve |
---|
| 887 | !! |
---|
| 888 | !! ** Method : |
---|
| 889 | !! |
---|
| 890 | !! References : |
---|
| 891 | !! Guyon, M, Roux, F-X, Chartier, M and Fraunie, P, 1994 : |
---|
| 892 | !! A domain decomposition solver to compute the barotropic |
---|
| 893 | !! component of an OGCM in the parallel processing field. |
---|
| 894 | !! Ocean Modelling, issue 105, december 94. |
---|
| 895 | !! |
---|
| 896 | !! History : |
---|
| 897 | !! ! 98-02 (M. Guyon) Original code |
---|
| 898 | !! 8.5 ! 02-09 (G. Madec) F90: Free form and module |
---|
| 899 | !!---------------------------------------------------------------------- |
---|
| 900 | !! * Modules used |
---|
| 901 | USE lib_feti ! feti librairy |
---|
| 902 | !! * Local declarations |
---|
| 903 | !!--------------------------------------------------------------------- |
---|
| 904 | |
---|
| 905 | ! computing weights for the conform construction |
---|
| 906 | |
---|
| 907 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,mapoids ,'poids' ) |
---|
| 908 | CALL feti_creadr(malxm,malxmax,nxm,nnic ,mabufin ,'bufin' ) |
---|
| 909 | CALL feti_creadr(malxm,malxmax,nxm,nnic ,mabufout,'bufout') |
---|
| 910 | |
---|
| 911 | !! CALL feti_poids(ninterfc,mfet(mandvoisc),mfet(maplistin),nnic, & |
---|
| 912 | !! mfet(malistin),narea,noeuds,wfeti(mapoids),wfeti(mabufin), & |
---|
| 913 | !! wfeti(mabufout) ) |
---|
| 914 | CALL feti_poids(ninterfc, nnic, & |
---|
| 915 | mfet(malistin), noeuds,wfeti(mapoids) ) |
---|
| 916 | |
---|
| 917 | |
---|
| 918 | ! Schur dual arrays |
---|
| 919 | |
---|
| 920 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,mabitw,'bitw') |
---|
| 921 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,mautilu,'utilu') |
---|
| 922 | CALL feti_creadr(malxm,malxmax,nxm,nni,malambda,'lambda') |
---|
| 923 | CALL feti_creadr(malxm,malxmax,nxm,nni,mag,'g') |
---|
| 924 | CALL feti_creadr(malxm,malxmax,nxm,nni,mapg,'pg') |
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| 925 | CALL feti_creadr(malxm,malxmax,nxm,nni,mamg,'mg') |
---|
| 926 | CALL feti_creadr(malxm,malxmax,nxm,nni,maw,'w') |
---|
| 927 | CALL feti_creadr(malxm,malxmax,nxm,nni,madw,'dw') |
---|
| 928 | |
---|
| 929 | ! coarse grid solver dimension and arrays |
---|
| 930 | |
---|
| 931 | nitmaxete = ndlblo |
---|
| 932 | CALL mpp_sum(nitmaxete,1,numit0ete) |
---|
| 933 | |
---|
| 934 | nitmaxete = nitmaxete + 1 |
---|
| 935 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep,maxnul,'xnul') |
---|
| 936 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep,maynul,'ynul') |
---|
| 937 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep,maeteg,'eteg') |
---|
| 938 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep,maeteag,'eteag') |
---|
| 939 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep*nitmaxete,maeted,'eted') |
---|
| 940 | CALL feti_creadr(malxm,malxmax,nxm,ndkerep*nitmaxete,maetead,'etead') |
---|
| 941 | CALL feti_creadr(malxm,malxmax,nxm,nitmaxete,maeteadd,'eteadd') |
---|
| 942 | CALL feti_creadr(malxm,malxmax,nxm,nitmaxete,maetegamm,'etegamm') |
---|
| 943 | CALL feti_creadr(malxm,malxmax,nxm,nni,maetew,'etew') |
---|
| 944 | CALL feti_creadr(malxm,malxmax,nxm,noeuds,maetev,'etev') |
---|
| 945 | |
---|
| 946 | ! construction of semi interface arrays |
---|
| 947 | |
---|
| 948 | CALL feti_creadr(malim,malimax,nim,ninterf+1,maplistih,'plistih') |
---|
| 949 | !! CALL feti_halfint(ninterf,mfet(mandvois),mfet(maplistin),nni, & |
---|
| 950 | !! mfet(maplistih),nnih,narea) |
---|
| 951 | CALL feti_halfint(ninterf,mfet(mandvois),mfet(maplistin), & |
---|
| 952 | mfet(maplistih),nnih ) |
---|
| 953 | |
---|
| 954 | CALL feti_creadr(malxm,malxmax,nxm,nnih,magh,'gh') |
---|
| 955 | |
---|
| 956 | ! Schur Dual Method |
---|
| 957 | |
---|
| 958 | nmaxd = nnitot / 2 |
---|
| 959 | |
---|
| 960 | ! computation of the remain array for descent directions |
---|
| 961 | |
---|
| 962 | nmaxd = min0(nmaxd,(nxm-nitmaxete-malxm)/(2*nnih+3)) |
---|
| 963 | CALL mpp_min(nmaxd,1,numit0ete) |
---|
| 964 | |
---|
| 965 | nitmax = nnitot/2 |
---|
| 966 | epsilo = eps |
---|
| 967 | ntest = 0 |
---|
| 968 | |
---|
| 969 | ! Krylov space construction |
---|
| 970 | |
---|
| 971 | CALL feti_creadr(malxm,malxmax,nxm,nnih*nmaxd,mawj,'wj') |
---|
| 972 | CALL feti_creadr(malxm,malxmax,nxm,nnih*nmaxd,madwj,'dwj') |
---|
| 973 | CALL feti_creadr(malxm,malxmax,nxm,nmaxd,madwwj,'dwwj') |
---|
| 974 | CALL feti_creadr(malxm,malxmax,nxm,nmaxd,magamm,'gamm') |
---|
| 975 | CALL feti_creadr(malxm,malxmax,nxm,max0(nmaxd,nitmaxete),mawork,'work') |
---|
| 976 | mjj0 = 0 |
---|
| 977 | numit0ete = 0 |
---|
| 978 | |
---|
| 979 | END SUBROUTINE fetsch |
---|
| 980 | |
---|
| 981 | #else |
---|
| 982 | SUBROUTINE fetstr ! Empty routine |
---|
| 983 | END SUBROUTINE fetstr |
---|
| 984 | SUBROUTINE fetmat ! Empty routine |
---|
| 985 | END SUBROUTINE fetmat |
---|
| 986 | SUBROUTINE fetsch ! Empty routine |
---|
| 987 | END SUBROUTINE fetsch |
---|
| 988 | #endif |
---|
| 989 | |
---|
| 990 | !!====================================================================== |
---|
| 991 | END MODULE solmat |
---|