[3443] | 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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[10222] | 10 | USE lib_mpp ! distribued memory computing library |
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[3443] | 11 | |
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[10222] | 12 | |
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[3443] | 13 | IMPLICIT NONE |
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| 14 | PRIVATE |
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| 15 | |
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| 16 | PUBLIC sed_mat |
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| 17 | |
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| 18 | INTERFACE sed_mat |
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| 19 | MODULE PROCEDURE sed_mat_dsr, sed_mat_btb |
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| 20 | END INTERFACE |
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| 21 | |
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| 22 | INTEGER, PARAMETER :: nmax = 30 |
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| 23 | |
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| 24 | |
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[5215] | 25 | !! $Id$ |
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[3443] | 26 | CONTAINS |
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| 27 | |
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[10222] | 28 | SUBROUTINE sed_mat_dsr( nvar, ndim, nlev, preac, psms, psol, dtsed_in ) |
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[3443] | 29 | !!--------------------------------------------------------------------- |
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| 30 | !! *** ROUTINE sed_mat_dsr *** |
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| 31 | !! |
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| 32 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 33 | !! |
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| 34 | !! ** Method : |
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| 35 | !! 1 - computes left hand side of linear system of equations |
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| 36 | !! for dissolution reaction |
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| 37 | !! For mass balance in kbot+sediment : |
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| 38 | !! dz3d (:,1) = dz(1) = 0.5 cm |
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| 39 | !! volw3d(:,1) = dzkbot ( see sedini.F90 ) |
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| 40 | !! dz(2) = 0.3 cm |
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| 41 | !! dz3d(:,2) = 0.3 + dzdep ( see seddsr.F90 ) |
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| 42 | !! volw3d(:,2) and vols3d(l,2) are thickened ( see seddsr.F90 ) |
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| 43 | !! |
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| 44 | !! 2 - forward/backward substitution. |
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| 45 | !! |
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| 46 | !! History : |
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| 47 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 48 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | !! * Arguments |
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[10222] | 51 | INTEGER , INTENT(in) :: nvar ! number of variable |
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[3443] | 52 | INTEGER , INTENT(in) :: ndim ! number of points |
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| 53 | INTEGER , INTENT(in) :: nlev ! number of sediment levels |
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| 54 | |
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[10222] | 55 | REAL(wp), DIMENSION(ndim,nlev), INTENT(in ) :: preac ! reaction rates |
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| 56 | REAL(wp), DIMENSION(ndim,nlev), INTENT(in ) :: psms ! reaction rates |
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| 57 | REAL(wp), DIMENSION(ndim,nlev), INTENT(inout) :: psol ! solution ( undersaturation values ) |
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| 58 | REAL(wp), INTENT(in) :: dtsed_in |
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[3443] | 59 | |
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| 60 | !---Local declarations |
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| 61 | INTEGER :: ji, jk, jn |
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| 62 | REAL(wp), DIMENSION(ndim,nlev) :: za, zb, zc, zr |
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| 63 | REAL(wp), DIMENSION(ndim) :: zbet |
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| 64 | REAL(wp), DIMENSION(ndim,nmax) :: zgamm |
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| 65 | |
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| 66 | REAL(wp) :: aplus,aminus |
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| 67 | REAL(wp) :: rplus,rminus |
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| 68 | REAL(wp) :: dxplus,dxminus |
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| 69 | |
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| 70 | !---------------------------------------------------------------------- |
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| 71 | |
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[10222] | 72 | IF( ln_timing ) CALL timing_start('sed_mat_dsr') |
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[3443] | 73 | |
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| 74 | ! Computation left hand side of linear system of |
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| 75 | ! equations for dissolution reaction |
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| 76 | !--------------------------------------------- |
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| 77 | |
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| 78 | |
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[10222] | 79 | jn = nvar |
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[3443] | 80 | ! first sediment level |
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| 81 | DO ji = 1, ndim |
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[10222] | 82 | aplus = ( ( volw3d(ji,1) / ( dz3d(ji,1) ) ) + & |
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| 83 | ( volw3d(ji,2) / ( dz3d(ji,2) ) ) ) / 2. |
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[3443] | 84 | dxplus = ( dz3d(ji,1) + dz3d(ji,2) ) / 2. |
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[10222] | 85 | rplus = ( dtsed_in / ( volw3d(ji,1) ) ) * diff(ji,1,jn) * aplus / dxplus |
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[3443] | 86 | |
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| 87 | za(ji,1) = 0. |
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| 88 | zb(ji,1) = 1. + rplus |
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| 89 | zc(ji,1) = -rplus |
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| 90 | ENDDO |
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| 91 | |
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| 92 | DO jk = 2, nlev - 1 |
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| 93 | DO ji = 1, ndim |
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[10222] | 94 | aminus = ( ( volw3d(ji,jk-1) / ( dz3d(ji,jk-1) ) ) + & |
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| 95 | & ( volw3d(ji,jk ) / ( dz3d(ji,jk ) ) ) ) / 2. |
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[3443] | 96 | dxminus = ( dz3d(ji,jk-1) + dz3d(ji,jk) ) / 2. |
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| 97 | |
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[10222] | 98 | aplus = ( ( volw3d(ji,jk ) / ( dz3d(ji,jk ) ) ) + & |
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| 99 | & ( volw3d(ji,jk+1) / ( dz3d(ji,jk+1) ) ) ) / 2. |
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[3443] | 100 | dxplus = ( dz3d(ji,jk) + dz3d(ji,jk+1) ) / 2 |
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[10222] | 101 | ! |
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| 102 | rminus = ( dtsed_in / volw3d(ji,jk) ) * diff(ji,jk-1,jn) * aminus / dxminus |
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| 103 | rplus = ( dtsed_in / volw3d(ji,jk) ) * diff(ji,jk,jn) * aplus / dxplus |
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| 104 | ! |
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[3443] | 105 | za(ji,jk) = -rminus |
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| 106 | zb(ji,jk) = 1. + rminus + rplus |
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| 107 | zc(ji,jk) = -rplus |
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| 108 | END DO |
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| 109 | END DO |
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| 110 | |
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| 111 | DO ji = 1, ndim |
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[10222] | 112 | aminus = ( ( volw3d(ji,nlev-1) / dz3d(ji,nlev-1) ) + & |
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| 113 | & ( volw3d(ji,nlev) / dz3d(ji,nlev) ) ) / 2. |
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[3443] | 114 | dxminus = ( dz3d(ji,nlev-1) + dz3d(ji,nlev) ) / 2. |
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[10222] | 115 | rminus = ( dtsed_in / volw3d(ji,nlev) ) * diff(ji,nlev-1,jn) * aminus / dxminus |
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[3443] | 116 | ! |
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| 117 | za(ji,nlev) = -rminus |
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| 118 | zb(ji,nlev) = 1. + rminus |
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| 119 | zc(ji,nlev) = 0. |
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| 120 | END DO |
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| 121 | |
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| 122 | |
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| 123 | ! solves tridiagonal system of linear equations |
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| 124 | ! ----------------------------------------------- |
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| 125 | |
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[10222] | 126 | zr (:,:) = psol(:,:) + psms(:,:) |
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| 127 | zb (:,:) = zb(:,:) + preac(:,:) |
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| 128 | zbet(: ) = zb(:,1) |
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| 129 | psol(:,1) = zr(:,1) / zbet(:) |
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[3443] | 130 | |
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| 131 | ! |
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[10222] | 132 | DO jk = 2, nlev |
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| 133 | DO ji = 1, ndim |
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| 134 | zgamm(ji,jk) = zc(ji,jk-1) / zbet(ji) |
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| 135 | zbet(ji) = zb(ji,jk) - za(ji,jk) * zgamm(ji,jk) |
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| 136 | psol(ji,jk) = ( zr(ji,jk) - za(ji,jk) * psol(ji,jk-1) ) / zbet(ji) |
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| 137 | END DO |
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| 138 | ENDDO |
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[3443] | 139 | ! |
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[10222] | 140 | DO jk = nlev - 1, 1, -1 |
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| 141 | DO ji = 1,ndim |
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| 142 | psol(ji,jk) = psol(ji,jk) - zgamm(ji,jk+1) * psol(ji,jk+1) |
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| 143 | END DO |
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[3443] | 144 | ENDDO |
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| 145 | |
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[10222] | 146 | IF( ln_timing ) CALL timing_stop('sed_mat_dsr') |
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[3443] | 147 | |
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[10222] | 148 | |
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[3443] | 149 | END SUBROUTINE sed_mat_dsr |
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| 150 | |
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[10222] | 151 | SUBROUTINE sed_mat_btb( nvar, ndim, nlev, psol, dtsed_in ) |
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[3443] | 152 | !!--------------------------------------------------------------------- |
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| 153 | !! *** ROUTINE sed_mat_btb *** |
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| 154 | !! |
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| 155 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 156 | !! |
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| 157 | !! ** Method : |
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| 158 | !! 1 - computes left hand side of linear system of equations |
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| 159 | !! for dissolution reaction |
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| 160 | !! |
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| 161 | !! 2 - forward/backward substitution. |
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| 162 | !! |
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| 163 | !! History : |
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| 164 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 165 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 166 | !!---------------------------------------------------------------------- |
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| 167 | !! * Arguments |
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| 168 | INTEGER , INTENT(in) :: & |
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| 169 | nvar , & ! number of variables |
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| 170 | ndim , & ! number of points |
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| 171 | nlev ! number of sediment levels |
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| 172 | |
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| 173 | REAL(wp), DIMENSION(ndim,nlev,nvar), INTENT(inout) :: & |
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| 174 | psol ! solution |
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| 175 | |
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[10222] | 176 | REAL(wp), INTENT(in) :: dtsed_in |
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| 177 | |
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[3443] | 178 | !---Local declarations |
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| 179 | INTEGER :: & |
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| 180 | ji, jk, jn |
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| 181 | |
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| 182 | REAL(wp) :: & |
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| 183 | aplus,aminus , & |
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| 184 | rplus,rminus , & |
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| 185 | dxplus,dxminus |
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| 186 | |
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| 187 | REAL(wp), DIMENSION(nlev) :: za, zb, zc |
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| 188 | REAL(wp), DIMENSION(ndim,nlev) :: zr |
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| 189 | REAL(wp), DIMENSION(nmax) :: zgamm |
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| 190 | REAL(wp) :: zbet |
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| 191 | |
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| 192 | |
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| 193 | !---------------------------------------------------------------------- |
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| 194 | |
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| 195 | ! Computation left hand side of linear system of |
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| 196 | ! equations for dissolution reaction |
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| 197 | !--------------------------------------------- |
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| 198 | |
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| 199 | |
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[10222] | 200 | IF( ln_timing ) CALL timing_start('sed_mat_btb') |
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| 201 | |
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[3443] | 202 | ! first sediment level |
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[10222] | 203 | DO ji = 1, ndim |
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| 204 | aplus = ( ( vols(2) / dz(2) ) + ( vols(3) / dz(3) ) ) / 2. |
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| 205 | dxplus = ( dz(2) + dz(3) ) / 2. |
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| 206 | rplus = ( dtsed_in / vols(2) ) * db(ji,2) * aplus / dxplus |
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[3443] | 207 | |
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[10222] | 208 | za(1) = 0. |
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| 209 | zb(1) = 1. + rplus |
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| 210 | zc(1) = -rplus |
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[3443] | 211 | |
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| 212 | |
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[10222] | 213 | DO jk = 2, nlev - 1 |
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| 214 | aminus = ( ( vols(jk) / dz(jk) ) + ( vols(jk+1) / dz(jk+1) ) ) / 2. |
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| 215 | dxminus = ( dz(jk) + dz(jk+1) ) / 2. |
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| 216 | rminus = ( dtsed_in / vols(jk+1) ) * db(ji,jk) * aminus / dxminus |
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| 217 | ! |
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| 218 | aplus = ( ( vols(jk+1) / dz(jk+1 ) ) + ( vols(jk+2) / dz(jk+2) ) ) / 2. |
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| 219 | dxplus = ( dz(jk+1) + dz(jk+2) ) / 2. |
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| 220 | rplus = ( dtsed_in / vols(jk+1) ) * db(ji,jk+1) * aplus / dxplus |
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| 221 | ! |
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| 222 | za(jk) = -rminus |
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| 223 | zb(jk) = 1. + rminus + rplus |
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| 224 | zc(jk) = -rplus |
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| 225 | ENDDO |
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[3443] | 226 | |
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[10222] | 227 | aminus = ( ( vols(nlev) / dz(nlev) ) + ( vols(nlev+1) / dz(nlev+1) ) ) / 2. |
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| 228 | dxminus = ( dz(nlev) + dz(nlev+1) ) / 2. |
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| 229 | rminus = ( dtsed_in / vols(nlev+1) ) * db(ji,nlev) * aminus / dxminus |
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| 230 | ! |
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| 231 | za(nlev) = -rminus |
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| 232 | zb(nlev) = 1. + rminus |
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| 233 | zc(nlev) = 0. |
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[3443] | 234 | |
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| 235 | |
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[10222] | 236 | ! solves tridiagonal system of linear equations |
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| 237 | ! ----------------------------------------------- |
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| 238 | DO jn = 1, nvar |
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[3443] | 239 | |
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[10222] | 240 | DO jk = 1, nlev |
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| 241 | zr (ji,jk) = psol(ji,jk,jn) |
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| 242 | END DO |
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| 243 | zbet = zb(1) |
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| 244 | psol(ji,1,jn) = zr(ji,1) / zbet |
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| 245 | ! |
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| 246 | DO jk = 2, nlev |
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| 247 | zgamm(jk) = zc(jk-1) / zbet |
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| 248 | zbet = zb(jk) - za(jk) * zgamm(jk) |
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| 249 | psol(ji,jk,jn) = ( zr(ji,jk) - za(jk) * psol(ji,jk-1,jn) ) / zbet |
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| 250 | ENDDO |
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| 251 | ! |
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| 252 | DO jk = nlev - 1, 1, -1 |
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[3443] | 253 | psol(ji,jk,jn) = psol(ji,jk,jn) - zgamm(jk+1) * psol(ji,jk+1,jn) |
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[10222] | 254 | ENDDO |
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[3443] | 255 | |
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[10222] | 256 | ENDDO |
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[3443] | 257 | |
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[10222] | 258 | END DO |
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| 259 | ! |
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| 260 | IF( ln_timing ) CALL timing_stop('sed_mat_btb') |
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| 261 | |
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[3443] | 262 | |
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| 263 | END SUBROUTINE sed_mat_btb |
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| 264 | |
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| 265 | END MODULE sedmat |
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