| 1 | MODULE sedmat |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sedmat *** |
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| 4 | !! Sediment : linear system of equations |
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| 5 | !!===================================================================== |
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| 6 | !! * Modules used |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | USE sed ! sediment global variable |
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| 10 | USE lib_mpp ! distribued memory computing library |
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| 11 | |
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| 12 | |
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| 13 | IMPLICIT NONE |
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| 14 | PRIVATE |
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| 15 | |
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| 16 | PUBLIC sed_mat_dsr |
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| 17 | PUBLIC sed_mat_dsrjac |
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| 18 | PUBLIC sed_mat_dsri |
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| 19 | PUBLIC sed_mat_btb |
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| 20 | PUBLIC sed_mat_btbjac |
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| 21 | PUBLIC sed_mat_btbi |
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| 22 | PUBLIC sed_mat_coef |
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| 23 | |
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| 24 | !! $Id$ |
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| 25 | CONTAINS |
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| 26 | |
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| 27 | SUBROUTINE sed_mat_coef( nksed ) |
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| 28 | !!--------------------------------------------------------------------- |
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| 29 | !! *** ROUTINE sed_mat_coef *** |
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| 30 | !! |
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| 31 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 32 | !! |
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| 33 | !! ** Method : |
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| 34 | !! 1 - computes left hand side of linear system of equations |
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| 35 | !! for dissolution reaction |
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| 36 | !! For mass balance in kbot+sediment : |
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| 37 | !! dz3d (:,1) = dz(1) = 0.5 cm |
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| 38 | !! volw3d(:,1) = dzkbot ( see sedini.F90 ) |
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| 39 | !! dz(2) = 0.3 cm |
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| 40 | !! dz3d(:,2) = 0.3 + dzdep ( see seddsr.F90 ) |
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| 41 | !! volw3d(:,2) and vols3d(l,2) are thickened ( see seddsr.F90 ) |
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| 42 | !! |
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| 43 | !! 2 - forward/backward substitution. |
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| 44 | !! |
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| 45 | !! History : |
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| 46 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 47 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | !! * Arguments |
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| 50 | INTEGER, INTENT(in) :: nksed |
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| 51 | |
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| 52 | !---Local declarations |
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| 53 | INTEGER :: ji, jk |
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| 54 | REAL(wp) :: aplus, aminus, dxplus, dxminus |
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| 55 | !---------------------------------------------------------------------- |
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| 56 | |
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| 57 | IF( ln_timing ) CALL timing_start('sed_mat_coef') |
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| 58 | |
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| 59 | ! Computation left hand side of linear system of |
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| 60 | ! equations for dissolution reaction |
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| 61 | !--------------------------------------------- |
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| 62 | ! first sediment level |
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| 63 | DO ji = 1, jpoce |
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| 64 | aplus = ( por(1) + por(2) ) * 0.5 |
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| 65 | dxplus = ( dz3d(ji,1) + dz3d(ji,2) ) / 2. |
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| 66 | apluss(ji,1) = ( 1.0 / ( volw3d(ji,1) ) ) * aplus / dxplus |
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| 67 | |
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| 68 | DO jk = 2, nksed - 1 |
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| 69 | aminus = ( por(jk-1) + por(jk) ) * 0.5 |
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| 70 | dxminus = ( dz3d(ji,jk-1) + dz3d(ji,jk) ) / 2. |
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| 71 | |
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| 72 | aplus = ( por(jk+1) + por(jk) ) * 0.5 |
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| 73 | dxplus = ( dz3d(ji,jk) + dz3d(ji,jk+1) ) / 2 |
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| 74 | ! |
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| 75 | aminuss(ji,jk) = ( 1.0 / volw3d(ji,jk) ) * aminus / dxminus |
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| 76 | apluss (ji,jk) = ( 1.0 / volw3d(ji,jk) ) * aplus / dxplus |
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| 77 | END DO |
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| 78 | |
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| 79 | aminus = ( por(nksed-1) + por(nksed) ) * 0.5 |
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| 80 | dxminus = ( dz3d(ji,nksed-1) + dz3d(ji,nksed) ) / 2. |
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| 81 | aminuss(ji,nksed) = ( 1.0 / volw3d(ji,nksed) ) * aminus / dxminus |
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| 82 | |
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| 83 | END DO |
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| 84 | |
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| 85 | IF( ln_timing ) CALL timing_stop('sed_mat_coef') |
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| 86 | |
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| 87 | END SUBROUTINE sed_mat_coef |
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| 88 | |
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| 89 | SUBROUTINE sed_mat_dsr( nksed, nvar, accmask ) |
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| 90 | !!--------------------------------------------------------------------- |
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| 91 | !! *** ROUTINE sed_mat_dsr *** |
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| 92 | !! |
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| 93 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 94 | !! |
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| 95 | !! ** Method : |
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| 96 | !! 1 - computes left hand side of linear system of equations |
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| 97 | !! for dissolution reaction |
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| 98 | !! For mass balance in kbot+sediment : |
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| 99 | !! dz3d (:,1) = dz(1) = 0.5 cm |
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| 100 | !! volw3d(:,1) = dzkbot ( see sedini.F90 ) |
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| 101 | !! dz(2) = 0.3 cm |
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| 102 | !! dz3d(:,2) = 0.3 + dzdep ( see seddsr.F90 ) |
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| 103 | !! volw3d(:,2) and vols3d(l,2) are thickened ( see seddsr.F90 ) |
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| 104 | !! |
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| 105 | !! 2 - forward/backward substitution. |
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| 106 | !! |
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| 107 | !! History : |
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| 108 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 109 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 110 | !!---------------------------------------------------------------------- |
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| 111 | !! * Arguments |
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| 112 | INTEGER , INTENT(in) :: nvar, nksed ! number of variable |
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| 113 | INTEGER, DIMENSION(jpoce) :: accmask |
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| 114 | INTEGER :: ji |
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| 115 | |
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| 116 | !---Local declarations |
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| 117 | INTEGER :: jk, jn |
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| 118 | REAL(wp), DIMENSION(nksed) :: za, zb, zc |
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| 119 | |
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| 120 | REAL(wp) :: rplus,rminus |
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| 121 | !---------------------------------------------------------------------- |
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| 122 | |
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| 123 | IF( ln_timing ) CALL timing_start('sed_mat_dsr') |
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| 124 | |
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| 125 | ! Computation left hand side of linear system of |
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| 126 | ! equations for dissolution reaction |
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| 127 | !--------------------------------------------- |
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| 128 | jn = nvar |
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| 129 | ! first sediment level |
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| 130 | DO ji = 1, jpoce |
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| 131 | IF (accmask(ji) == 0) THEN |
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| 132 | rplus = apluss(ji,1) * diff(ji,1,jn) * radssol(1,jn) |
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| 133 | |
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| 134 | za(1) = 0. |
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| 135 | zb(1) = rplus |
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| 136 | zc(1) = -rplus |
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| 137 | |
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| 138 | DO jk = 2, nksed - 1 |
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| 139 | rminus = aminuss(ji,jk) * diff(ji,jk-1,jn) * radssol(jk,jn) |
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| 140 | rplus = apluss (ji,jk) * diff(ji,jk,jn) * radssol(jk,jn) |
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| 141 | ! |
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| 142 | za(jk) = -rminus |
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| 143 | zb(jk) = rminus + rplus |
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| 144 | zc(jk) = -rplus |
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| 145 | END DO |
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| 146 | |
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| 147 | rminus = aminuss(ji,nksed) * diff(ji,nksed-1,jn) * radssol(nksed,jn) |
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| 148 | ! |
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| 149 | za(nksed) = -rminus |
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| 150 | zb(nksed) = rminus |
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| 151 | zc(nksed) = 0. |
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| 152 | |
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| 153 | ! solves tridiagonal system of linear equations |
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| 154 | ! ----------------------------------------------- |
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| 155 | |
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| 156 | pwcpa(ji,1,jn) = pwcpa(ji,1,jn) - ( zc(1) * pwcp(ji,2,jn) + zb(1) * pwcp(ji,1,jn) ) |
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| 157 | DO jk = 2, nksed - 1 |
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| 158 | pwcpa(ji,jk,jn) = pwcpa(ji,jk,jn) - ( zc(jk) * pwcp(ji,jk+1,jn) + za(jk) * pwcp(ji,jk-1,jn) & |
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| 159 | & + zb(jk) * pwcp(ji,jk,jn) ) |
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| 160 | ENDDO |
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| 161 | pwcpa(ji,nksed,jn) = pwcpa(ji,nksed,jn) - ( za(nksed) * pwcp(ji,nksed-1,jn) & |
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| 162 | & + zb(nksed) * pwcp(ji,nksed,jn) ) |
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| 163 | |
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| 164 | ENDIF |
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| 165 | END DO |
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| 166 | |
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| 167 | IF( ln_timing ) CALL timing_stop('sed_mat_dsr') |
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| 168 | |
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| 169 | END SUBROUTINE sed_mat_dsr |
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| 170 | |
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| 171 | SUBROUTINE sed_mat_dsrjac( nksed, nvar, NEQ, NROWPD, jacvode, accmask ) |
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| 172 | !!--------------------------------------------------------------------- |
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| 173 | !! *** ROUTINE sed_mat_dsrjac *** |
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| 174 | !! |
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| 175 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 176 | !! |
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| 177 | !! ** Method : |
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| 178 | !! 1 - computes left hand side of linear system of equations |
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| 179 | !! for dissolution reaction |
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| 180 | !! For mass balance in kbot+sediment : |
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| 181 | !! dz3d (:,1) = dz(1) = 0.5 cm |
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| 182 | !! volw3d(:,1) = dzkbot ( see sedini.F90 ) |
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| 183 | !! dz(2) = 0.3 cm |
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| 184 | !! dz3d(:,2) = 0.3 + dzdep ( see seddsr.F90 ) |
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| 185 | !! volw3d(:,2) and vols3d(l,2) are thickened ( see |
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| 186 | !seddsr.F90 ) |
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| 187 | !! |
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| 188 | !! 2 - forward/backward substitution. |
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| 189 | !! |
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| 190 | !! History : |
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| 191 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 192 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 193 | !!---------------------------------------------------------------------- |
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| 194 | !! * Arguments |
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| 195 | INTEGER , INTENT(in) :: nvar, nksed, NEQ, NROWPD ! number of variable |
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| 196 | REAL, DIMENSION(jpoce,NROWPD,NEQ), INTENT(inout) :: jacvode |
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| 197 | INTEGER, DIMENSION(jpoce), INTENT(in) :: accmask |
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| 198 | |
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| 199 | !---Local declarations |
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| 200 | INTEGER :: ji,jk, jn, jnn, jni, jnj ,jnij |
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| 201 | REAL(wp), DIMENSION(nksed) :: za, zb, zc |
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| 202 | |
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| 203 | REAL(wp) :: rplus,rminus |
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| 204 | !---------------------------------------------------------------------- |
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| 205 | |
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| 206 | IF( ln_timing ) CALL timing_start('sed_mat_dsrjac') |
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| 207 | |
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| 208 | ! Computation left hand side of linear system of |
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| 209 | ! equations for dissolution reaction |
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| 210 | !--------------------------------------------- |
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| 211 | jn = nvar |
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| 212 | ! first sediment level |
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| 213 | DO ji = 1, jpoce |
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| 214 | IF (accmask(ji) == 0 ) THEN |
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| 215 | rplus = apluss(ji,1) * diff(ji,1,jn) * radssol(1,jn) |
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| 216 | |
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| 217 | za(1) = 0. |
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| 218 | zb(1) = rplus |
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| 219 | zc(1) = -rplus |
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| 220 | |
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| 221 | DO jk = 2, nksed - 1 |
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| 222 | rminus = aminuss(ji,jk) * diff(ji,jk-1,jn) * radssol(jk,jn) |
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| 223 | rplus = apluss (ji,jk) * diff(ji,jk,jn) * radssol(jk,jn) |
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| 224 | ! |
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| 225 | za(jk) = -rminus |
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| 226 | zb(jk) = rminus + rplus |
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| 227 | zc(jk) = -rplus |
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| 228 | END DO |
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| 229 | |
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| 230 | rminus = aminuss(ji,nksed) * diff(ji,nksed-1,jn) * radssol(nksed,jn) |
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| 231 | ! |
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| 232 | za(nksed) = -rminus |
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| 233 | zb(nksed) = rminus |
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| 234 | zc(nksed) = 0. |
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| 235 | |
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| 236 | ! solves tridiagonal system of linear equations |
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| 237 | |
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| 238 | jnn = isvode(jn) |
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| 239 | jnij = jpvode + 1 |
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| 240 | jacvode(ji, jnij, jnn) = jacvode(ji,jnij,jnn) - zb(1) |
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| 241 | jnj = jpvode + jnn |
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| 242 | jnij = jnn - jnj + jpvode + 1 |
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| 243 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) -zc(1) |
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| 244 | DO jk = 2, nksed - 1 |
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| 245 | jni = (jk-1) * jpvode + jnn |
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| 246 | jnj = (jk-2) * jpvode + jnn |
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| 247 | jnij = jni - jnj + jpvode + 1 |
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| 248 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - za(jk) |
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| 249 | jnj = (jk-1) * jpvode + jnn |
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| 250 | jnij = jni - jnj + jpvode + 1 |
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| 251 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - zb(jk) |
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| 252 | jnj = (jk) * jpvode + jnn |
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| 253 | jnij = jni - jnj + jpvode + 1 |
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| 254 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - zc(jk) |
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| 255 | END DO |
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| 256 | jni = (nksed-1) * jpvode + jnn |
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| 257 | jnj = (nksed-2) * jpvode + jnn |
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| 258 | jnij = jni - jnj + jpvode + 1 |
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| 259 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - za(nksed) |
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| 260 | jnij = jpvode + 1 |
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| 261 | jacvode(ji, jnij, jni) = jacvode(ji, jnij, jni) - zb(nksed) |
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| 262 | ENDIF |
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| 263 | END DO |
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| 264 | |
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| 265 | IF( ln_timing ) CALL timing_stop('sed_mat_dsrjac') |
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| 266 | |
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| 267 | END SUBROUTINE sed_mat_dsrjac |
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| 268 | |
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| 269 | SUBROUTINE sed_mat_btbi( nksed, nvar, psol, preac, dtsed_in ) |
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| 270 | !!--------------------------------------------------------------------- |
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| 271 | !! *** ROUTINE sed_mat_btb *** |
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| 272 | !! |
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| 273 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 274 | !! |
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| 275 | !! ** Method : |
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| 276 | !! 1 - computes left hand side of linear system of equations |
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| 277 | !! for dissolution reaction |
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| 278 | !! |
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| 279 | !! |
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| 280 | !! 2 - forward/backward substitution. |
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| 281 | !! |
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| 282 | !! History : |
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| 283 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 284 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 285 | !!---------------------------------------------------------------------- |
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| 286 | !! * Arguments |
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| 287 | INTEGER , INTENT(in) :: nksed, nvar ! number of sediment levels |
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| 288 | |
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| 289 | REAL(wp), DIMENSION(jpoce,nksed,nvar), INTENT(inout) :: & |
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| 290 | psol, preac |
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| 291 | |
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| 292 | REAL(wp), INTENT(in) :: dtsed_in |
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| 293 | |
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| 294 | !---Local declarations |
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| 295 | INTEGER :: & |
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| 296 | ji, jk, jn |
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| 297 | |
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| 298 | REAL(wp) :: & |
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| 299 | aplus,aminus , & |
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| 300 | rplus,rminus , & |
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| 301 | dxplus,dxminus |
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| 302 | |
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| 303 | REAL(wp), DIMENSION(nksed) :: za, zb, zc |
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| 304 | REAL(wp), DIMENSION(nksed) :: zr, zgamm |
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| 305 | REAL(wp) :: zbet |
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| 306 | |
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| 307 | !---------------------------------------------------------------------- |
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| 308 | |
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| 309 | ! Computation left hand side of linear system of |
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| 310 | ! equations for dissolution reaction |
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| 311 | !--------------------------------------------- |
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| 312 | IF( ln_timing ) CALL timing_start('sed_mat_btbi') |
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| 313 | |
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| 314 | ! first sediment level |
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| 315 | DO ji = 1, jpoce |
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| 316 | aplus = ( por1(2) + por1(3) ) / 2.0 |
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| 317 | dxplus = ( dz(2) + dz(3) ) / 2. |
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| 318 | rplus = ( dtsed_in / vols(2) ) * db(ji,2) * aplus / dxplus |
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| 319 | za(2) = 0. |
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| 320 | zb(2) = 1. + rplus |
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| 321 | zc(2) = -rplus |
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| 322 | |
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| 323 | DO jk = 3, nksed - 1 |
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| 324 | aminus = ( por1(jk-1) + por1(jk) ) * 0.5 |
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| 325 | aminus = ( ( vols(jk-1) / dz(jk-1) ) + ( vols(jk) / dz(jk) ) ) / 2. |
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| 326 | dxminus = ( dz(jk-1) + dz(jk) ) / 2. |
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| 327 | rminus = ( dtsed_in / vols(jk) ) * db(ji,jk-1) * aminus / dxminus |
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| 328 | ! |
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| 329 | aplus = ( por1(jk) + por1(jk+1) ) * 0.5 |
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| 330 | dxplus = ( dz(jk) + dz(jk+1) ) / 2. |
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| 331 | rplus = ( dtsed_in / vols(jk) ) * db(ji,jk) * aplus / dxplus |
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| 332 | ! |
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| 333 | za(jk) = -rminus |
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| 334 | zb(jk) = 1. + rminus + rplus |
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| 335 | zc(jk) = -rplus |
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| 336 | |
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| 337 | ENDDO |
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| 338 | |
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| 339 | aminus = ( por1(nksed-1) + por1(nksed) ) * 0.5 |
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| 340 | dxminus = ( dz(nksed-1) + dz(nksed) ) / 2. |
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| 341 | rminus = ( dtsed_in / vols(nksed) ) * db(ji,nksed-1) * aminus / dxminus |
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| 342 | ! |
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| 343 | za(nksed) = -rminus |
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| 344 | zb(nksed) = 1. + rminus |
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| 345 | zc(nksed) = 0. |
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| 346 | |
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| 347 | ! solves tridiagonal system of linear equations |
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| 348 | ! ----------------------------------------------- |
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| 349 | DO jn = 1, nvar |
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| 350 | zr(:) = psol(ji,:,jn) |
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| 351 | zbet = zb(2) - preac(ji,2,jn) * dtsed_in |
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| 352 | psol(ji,2,jn) = zr(2) / zbet |
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| 353 | ! |
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| 354 | DO jk = 3, nksed |
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| 355 | zgamm(jk) = zc(jk-1) / zbet |
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| 356 | zbet = zb(jk) - preac(ji,jk,jn) * dtsed_in - za(jk) * zgamm(jk) |
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| 357 | psol(ji,jk,jn) = ( zr(jk) - za(jk) * psol(ji,jk-1,jn) ) / zbet |
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| 358 | ENDDO |
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| 359 | ! |
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| 360 | DO jk = nksed - 1, 2, -1 |
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| 361 | psol(ji,jk,jn) = psol(ji,jk,jn) - zgamm(jk+1) * psol(ji,jk+1,jn) |
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| 362 | ENDDO |
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| 363 | END DO |
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| 364 | END DO |
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| 365 | ! |
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| 366 | IF( ln_timing ) CALL timing_stop('sed_mat_btbi') |
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| 367 | |
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| 368 | END SUBROUTINE sed_mat_btbi |
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| 369 | |
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| 370 | |
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| 371 | SUBROUTINE sed_mat_btb( nksed, nvar, accmask ) |
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| 372 | !!--------------------------------------------------------------------- |
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| 373 | !! *** ROUTINE sed_mat_btb *** |
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| 374 | !! |
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| 375 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 376 | !! |
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| 377 | !! ** Method : |
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| 378 | !! 1 - computes left hand side of linear system of equations |
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| 379 | !! for dissolution reaction |
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| 380 | !! |
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| 381 | !! 2 - forward/backward substitution. |
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| 382 | !! |
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| 383 | !! History : |
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| 384 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 385 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 386 | !!---------------------------------------------------------------------- |
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| 387 | !! * Arguments |
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| 388 | INTEGER , INTENT(in) :: & |
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| 389 | nvar, nksed ! number of sediment levels |
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| 390 | INTEGER, DIMENSION(jpoce) :: accmask |
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| 391 | |
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| 392 | !---Local declarations |
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| 393 | INTEGER :: ji, jk, jn |
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| 394 | |
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| 395 | REAL(wp) :: & |
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| 396 | aplus,aminus , & |
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| 397 | rplus,rminus , & |
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| 398 | dxplus,dxminus |
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| 399 | |
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| 400 | REAL(wp), DIMENSION(nksed) :: za, zb, zc |
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| 401 | |
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| 402 | !---------------------------------------------------------------------- |
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| 403 | |
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| 404 | ! Computation left hand side of linear system of |
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| 405 | ! equations for dissolution reaction |
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| 406 | !--------------------------------------------- |
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| 407 | IF( ln_timing ) CALL timing_start('sed_mat_btb') |
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| 408 | |
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| 409 | ! first sediment level |
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| 410 | jn = nvar |
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| 411 | DO ji = 1, jpoce |
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| 412 | IF (accmask(ji) == 0) THEN |
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| 413 | aplus = ( por1(2) + por1(3) ) / 2.0 |
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| 414 | dxplus = ( dz(2) + dz(3) ) / 2. |
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| 415 | rplus = ( 1.0 / vols(2) ) * db(ji,2) * aplus / dxplus * rads1sol(2,jn) |
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| 416 | |
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| 417 | za(2) = 0. |
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| 418 | zb(2) = rplus |
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| 419 | zc(2) = -rplus |
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| 420 | |
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| 421 | DO jk = 3, nksed - 1 |
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| 422 | aminus = ( por1(jk-1) + por1(jk) ) * 0.5 |
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| 423 | aminus = ( ( vols(jk-1) / dz(jk-1) ) + ( vols(jk) / dz(jk) ) ) / 2. |
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| 424 | dxminus = ( dz(jk-1) + dz(jk) ) / 2. |
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| 425 | rminus = ( 1.0 / vols(jk) ) * db(ji,jk-1) * aminus / dxminus * rads1sol(jk,jn) |
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| 426 | ! |
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| 427 | aplus = ( por1(jk) + por1(jk+1) ) * 0.5 |
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| 428 | dxplus = ( dz(jk) + dz(jk+1) ) / 2. |
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| 429 | rplus = ( 1.0 / vols(jk) ) * db(ji,jk) * aplus / dxplus * rads1sol(jk,jn) |
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| 430 | ! |
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| 431 | za(jk) = -rminus |
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| 432 | zb(jk) = rminus + rplus |
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| 433 | zc(jk) = -rplus |
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| 434 | |
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| 435 | ENDDO |
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| 436 | |
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| 437 | aminus = ( por1(nksed-1) + por1(nksed) ) * 0.5 |
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| 438 | dxminus = ( dz(nksed-1) + dz(nksed) ) / 2. |
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| 439 | rminus = ( 1.0 / vols(nksed) ) * db(ji,nksed-1) * aminus / dxminus * rads1sol(nksed,jn) |
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| 440 | ! |
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| 441 | za(nksed) = -rminus |
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| 442 | zb(nksed) = rminus |
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| 443 | zc(nksed) = 0. |
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| 444 | |
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| 445 | ! solves tridiagonal system of linear equations |
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| 446 | ! ----------------------------------------------- |
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| 447 | pwcpa(ji,2,jn) = pwcpa(ji,2,jn) - ( zc(2) * pwcp(ji,3,jn) + zb(2) * pwcp(ji,2,jn) ) |
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| 448 | DO jk = 3, nksed-1 |
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| 449 | pwcpa(ji,jk,jn) = pwcpa(ji,jk,jn) - ( zc(jk) * pwcp(ji,jk+1,jn) + za(jk) * pwcp(ji,jk-1,jn) & |
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| 450 | & + zb(jk) * pwcp(ji,jk,jn) ) |
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| 451 | ENDDO |
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| 452 | pwcpa(ji,nksed,jn) = pwcpa(ji,nksed,jn) - ( za(nksed) * pwcp(ji,nksed-1,jn) & |
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| 453 | & + zb(nksed) * pwcp(ji,nksed,jn) ) |
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| 454 | ! |
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| 455 | ENDIF |
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| 456 | END DO |
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| 457 | ! |
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| 458 | IF( ln_timing ) CALL timing_stop('sed_mat_btb') |
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| 459 | |
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| 460 | END SUBROUTINE sed_mat_btb |
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| 461 | |
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| 462 | SUBROUTINE sed_mat_btbjac( nksed, nvar, NEQ, NROWPD, jacvode, accmask ) |
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| 463 | !!--------------------------------------------------------------------- |
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| 464 | !! *** ROUTINE sed_mat_btb *** |
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| 465 | !! |
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| 466 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 467 | !! |
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| 468 | !! ** Method : |
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| 469 | !! 1 - computes left hand side of linear system of equations |
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| 470 | !! for dissolution reaction |
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| 471 | !! |
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| 472 | !! 2 - forward/backward substitution. |
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| 473 | !! |
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| 474 | !! History : |
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| 475 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 476 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 477 | !!---------------------------------------------------------------------- |
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| 478 | !! * Arguments |
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| 479 | INTEGER , INTENT(in) :: nvar, nksed, NEQ, NROWPD ! number of variable |
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| 480 | REAL, DIMENSION(jpoce,NROWPD,NEQ), INTENT(inout) :: jacvode |
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| 481 | INTEGER, DIMENSION(jpoce), INTENT(in) :: accmask |
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| 482 | |
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| 483 | !---Local declarations |
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| 484 | INTEGER :: ji, jk, jn, jnn, jni, jnj ,jnij |
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| 485 | |
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| 486 | REAL(wp) :: & |
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| 487 | aplus,aminus , & |
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| 488 | rplus,rminus , & |
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| 489 | dxplus,dxminus |
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| 490 | |
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| 491 | REAL(wp), DIMENSION(nksed) :: za, zb, zc |
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| 492 | |
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| 493 | !---------------------------------------------------------------------- |
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| 494 | |
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| 495 | ! Computation left hand side of linear system of |
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| 496 | ! equations for dissolution reaction |
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| 497 | !--------------------------------------------- |
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| 498 | IF( ln_timing ) CALL timing_start('sed_mat_btbjac') |
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| 499 | |
|---|
| 500 | ! first sediment level |
|---|
| 501 | jn = nvar |
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| 502 | DO ji = 1, jpoce |
|---|
| 503 | IF (accmask(ji) == 0) THEN |
|---|
| 504 | aplus = ( por1(2) + por1(3) ) / 2.0 |
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| 505 | dxplus = ( dz(2) + dz(3) ) / 2. |
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| 506 | rplus = ( 1.0 / vols(2) ) * db(ji,2) * aplus / dxplus * rads1sol(2,jn) |
|---|
| 507 | |
|---|
| 508 | za(2) = 0. |
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| 509 | zb(2) = rplus |
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| 510 | zc(2) = -rplus |
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| 511 | |
|---|
| 512 | DO jk = 3, nksed - 1 |
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| 513 | aminus = ( por1(jk-1) + por1(jk) ) * 0.5 |
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| 514 | aminus = ( ( vols(jk-1) / dz(jk-1) ) + ( vols(jk) / dz(jk) ) ) / 2. |
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| 515 | dxminus = ( dz(jk-1) + dz(jk) ) / 2. |
|---|
| 516 | rminus = ( 1.0 / vols(jk) ) * db(ji,jk-1) * aminus / dxminus * rads1sol(jk,jn) |
|---|
| 517 | ! |
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| 518 | aplus = ( por1(jk) + por1(jk+1) ) * 0.5 |
|---|
| 519 | dxplus = ( dz(jk) + dz(jk+1) ) / 2. |
|---|
| 520 | rplus = ( 1.0 / vols(jk) ) * db(ji,jk) * aplus / dxplus * rads1sol(jk,jn) |
|---|
| 521 | ! |
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| 522 | za(jk) = -rminus |
|---|
| 523 | zb(jk) = rminus + rplus |
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| 524 | zc(jk) = -rplus |
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| 525 | |
|---|
| 526 | ENDDO |
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| 527 | |
|---|
| 528 | aminus = ( por1(nksed-1) + por1(nksed) ) * 0.5 |
|---|
| 529 | dxminus = ( dz(nksed-1) + dz(nksed) ) / 2. |
|---|
| 530 | rminus = ( 1.0 / vols(nksed) ) * db(ji,nksed-1) * aminus / dxminus * rads1sol(nksed,jn) |
|---|
| 531 | ! |
|---|
| 532 | za(nksed) = -rminus |
|---|
| 533 | zb(nksed) = rminus |
|---|
| 534 | zc(nksed) = 0. |
|---|
| 535 | |
|---|
| 536 | ! solves tridiagonal system of linear equations |
|---|
| 537 | ! ----------------------------------------------- |
|---|
| 538 | jnn = isvode(jn) |
|---|
| 539 | jni = jpvode + jnn |
|---|
| 540 | jnij = jpvode + 1 |
|---|
| 541 | jacvode(ji, jnij, jni) = jacvode(ji,jnij,jni) - zb(2) |
|---|
| 542 | jnj = 2 * jpvode + jnn |
|---|
| 543 | jnij = jni - jnj + jpvode + 1 |
|---|
| 544 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) -zc(2) |
|---|
| 545 | DO jk = 3, nksed-1 |
|---|
| 546 | jni = (jk-1) * jpvode + jnn |
|---|
| 547 | jnj = (jk-2) * jpvode + jnn |
|---|
| 548 | jnij = jni - jnj + jpvode + 1 |
|---|
| 549 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - za(jk) |
|---|
| 550 | jnj = (jk-1) * jpvode + jnn |
|---|
| 551 | jnij = jni - jnj + jpvode + 1 |
|---|
| 552 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - zb(jk) |
|---|
| 553 | jnj = (jk) * jpvode + jnn |
|---|
| 554 | jnij = jni - jnj + jpvode + 1 |
|---|
| 555 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - zc(jk) |
|---|
| 556 | ENDDO |
|---|
| 557 | jni = (nksed-1) * jpvode + jnn |
|---|
| 558 | jnj = (nksed-2) * jpvode + jnn |
|---|
| 559 | jnij = jni - jnj + jpvode + 1 |
|---|
| 560 | jacvode(ji, jnij, jnj) = jacvode(ji, jnij, jnj) - za(nksed) |
|---|
| 561 | jnij = jpvode + 1 |
|---|
| 562 | jacvode(ji, jnij, jni) = jacvode(ji, jnij, jni) - zb(nksed) |
|---|
| 563 | ! |
|---|
| 564 | ENDIF |
|---|
| 565 | END DO |
|---|
| 566 | ! |
|---|
| 567 | IF( ln_timing ) CALL timing_stop('sed_mat_btbjac') |
|---|
| 568 | |
|---|
| 569 | END SUBROUTINE sed_mat_btbjac |
|---|
| 570 | |
|---|
| 571 | |
|---|
| 572 | SUBROUTINE sed_mat_dsri( nksed, nvar, preac, psms, dtsed_in, psol ) |
|---|
| 573 | !!--------------------------------------------------------------------- |
|---|
| 574 | !! *** ROUTINE sed_mat_dsr *** |
|---|
| 575 | !! |
|---|
| 576 | !! ** Purpose : solves tridiagonal system of linear equations |
|---|
| 577 | !! |
|---|
| 578 | !! ** Method : |
|---|
| 579 | !! 1 - computes left hand side of linear system of equations |
|---|
| 580 | !! for dissolution reaction |
|---|
| 581 | !! For mass balance in kbot+sediment : |
|---|
| 582 | !! dz3d (:,1) = dz(1) = 0.5 cm |
|---|
| 583 | !! volw3d(:,1) = dzkbot ( see sedini.F90 ) |
|---|
| 584 | !! dz(2) = 0.3 cm |
|---|
| 585 | !! dz3d(:,2) = 0.3 + dzdep ( see seddsr.F90 ) |
|---|
| 586 | !! volw3d(:,2) and vols3d(l,2) are thickened ( see |
|---|
| 587 | !seddsr.F90 ) |
|---|
| 588 | !! |
|---|
| 589 | !! 2 - forward/backward substitution. |
|---|
| 590 | !! |
|---|
| 591 | !! History : |
|---|
| 592 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
|---|
| 593 | !! ! 06-04 (C. Ethe) Module Re-organization |
|---|
| 594 | !!---------------------------------------------------------------------- |
|---|
| 595 | !! * Arguments |
|---|
| 596 | INTEGER , INTENT(in) :: nksed, nvar ! number of variable |
|---|
| 597 | |
|---|
| 598 | REAL(wp), DIMENSION(jpoce,nksed), INTENT(in ) :: preac ! reaction rates |
|---|
| 599 | REAL(wp), DIMENSION(jpoce,nksed), INTENT(in ) :: psms ! reaction rates |
|---|
| 600 | REAL(wp), DIMENSION(jpoce,nksed), INTENT(inout) :: psol ! reaction rates |
|---|
| 601 | REAL(wp), INTENT(in) :: dtsed_in |
|---|
| 602 | |
|---|
| 603 | !---Local declarations |
|---|
| 604 | INTEGER :: ji, jk, jn |
|---|
| 605 | REAL(wp), DIMENSION(jpoce,nksed) :: za, zb, zc, zr |
|---|
| 606 | REAL(wp), DIMENSION(jpoce) :: zbet |
|---|
| 607 | REAL(wp), DIMENSION(jpoce,nksed) :: zgamm |
|---|
| 608 | |
|---|
| 609 | REAL(wp) :: rplus,rminus |
|---|
| 610 | !---------------------------------------------------------------------- |
|---|
| 611 | |
|---|
| 612 | IF( ln_timing ) CALL timing_start('sed_mat_dsri') |
|---|
| 613 | |
|---|
| 614 | ! Computation left hand side of linear system of |
|---|
| 615 | ! equations for dissolution reaction |
|---|
| 616 | !--------------------------------------------- |
|---|
| 617 | jn = nvar |
|---|
| 618 | ! first sediment level |
|---|
| 619 | DO ji = 1, jpoce |
|---|
| 620 | rplus = dtsed_in * apluss(ji,1) * diff(ji,1,jn) * radssol(1,jn) |
|---|
| 621 | |
|---|
| 622 | za(ji,1) = 0. |
|---|
| 623 | zb(ji,1) = 1. + rplus |
|---|
| 624 | zc(ji,1) = -rplus |
|---|
| 625 | ENDDO |
|---|
| 626 | |
|---|
| 627 | DO jk = 2, nksed - 1 |
|---|
| 628 | DO ji = 1, jpoce |
|---|
| 629 | rminus = dtsed_in * aminuss(ji,jk) * diff(ji,jk-1,jn) * radssol(jk,jn) |
|---|
| 630 | rplus = dtsed_in * apluss (ji,jk) * diff(ji,jk,jn) * radssol(jk,jn) |
|---|
| 631 | ! |
|---|
| 632 | za(ji,jk) = -rminus |
|---|
| 633 | zb(ji,jk) = 1. + rminus + rplus |
|---|
| 634 | zc(ji,jk) = -rplus |
|---|
| 635 | END DO |
|---|
| 636 | END DO |
|---|
| 637 | |
|---|
| 638 | DO ji = 1, jpoce |
|---|
| 639 | rminus = dtsed_in * aminuss(ji,nksed) * diff(ji,nksed-1,jn) * radssol(nksed,jn) |
|---|
| 640 | ! |
|---|
| 641 | za(ji,nksed) = -rminus |
|---|
| 642 | zb(ji,nksed) = 1. + rminus |
|---|
| 643 | zc(ji,nksed) = 0. |
|---|
| 644 | END DO |
|---|
| 645 | |
|---|
| 646 | |
|---|
| 647 | ! solves tridiagonal system of linear equations |
|---|
| 648 | ! ----------------------------------------------- |
|---|
| 649 | |
|---|
| 650 | zr (:,:) = psol(:,:) + psms(:,:) * dtsed_in |
|---|
| 651 | zb (:,:) = zb(:,:) - preac(:,:) * dtsed_in |
|---|
| 652 | zbet(: ) = zb(:,1) |
|---|
| 653 | psol(:,1) = zr(:,1) / zbet(:) |
|---|
| 654 | |
|---|
| 655 | ! |
|---|
| 656 | DO jk = 2, nksed |
|---|
| 657 | DO ji = 1, jpoce |
|---|
| 658 | zgamm(ji,jk) = zc(ji,jk-1) / zbet(ji) |
|---|
| 659 | zbet(ji) = zb(ji,jk) - za(ji,jk) * zgamm(ji,jk) |
|---|
| 660 | psol(ji,jk) = ( zr(ji,jk) - za(ji,jk) * psol(ji,jk-1) ) / zbet(ji) |
|---|
| 661 | END DO |
|---|
| 662 | ENDDO |
|---|
| 663 | ! |
|---|
| 664 | DO jk = nksed - 1, 1, -1 |
|---|
| 665 | DO ji = 1, jpoce |
|---|
| 666 | psol(ji,jk) = psol(ji,jk) - zgamm(ji,jk+1) * psol(ji,jk+1) |
|---|
| 667 | END DO |
|---|
| 668 | ENDDO |
|---|
| 669 | |
|---|
| 670 | IF( ln_timing ) CALL timing_stop('sed_mat_dsri') |
|---|
| 671 | |
|---|
| 672 | |
|---|
| 673 | END SUBROUTINE sed_mat_dsri |
|---|
| 674 | |
|---|
| 675 | |
|---|
| 676 | END MODULE sedmat |
|---|
