[3443] | 1 | MODULE sedmat |
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| 2 | #if defined key_sed |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE sedmat *** |
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| 5 | !! Sediment : linear system of equations |
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| 6 | !!===================================================================== |
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| 7 | !! * Modules used |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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| 10 | USE sed ! sediment global variable |
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| 11 | |
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| 12 | IMPLICIT NONE |
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| 13 | PRIVATE |
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| 14 | |
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| 15 | PUBLIC sed_mat |
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| 16 | |
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| 17 | INTERFACE sed_mat |
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| 18 | MODULE PROCEDURE sed_mat_dsr, sed_mat_btb |
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| 19 | END INTERFACE |
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| 20 | |
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| 21 | INTEGER, PARAMETER :: nmax = 30 |
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| 22 | |
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| 23 | |
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[5980] | 24 | !! $Id$ |
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[3443] | 25 | CONTAINS |
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| 26 | |
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| 27 | SUBROUTINE sed_mat_dsr( nvar, ndim, nlev, preac, psol ) |
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| 28 | !!--------------------------------------------------------------------- |
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| 29 | !! *** ROUTINE sed_mat_dsr *** |
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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) :: nvar ! number of variables |
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| 51 | INTEGER , INTENT(in) :: ndim ! number of points |
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| 52 | INTEGER , INTENT(in) :: nlev ! number of sediment levels |
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| 53 | |
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| 54 | REAL(wp), DIMENSION(ndim,nlev,nvar), INTENT(in ) :: preac ! reaction rates |
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| 55 | REAL(wp), DIMENSION(ndim,nlev,nvar), INTENT(inout) :: psol ! solution ( undersaturation values ) |
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| 56 | |
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| 57 | !---Local declarations |
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| 58 | INTEGER :: ji, jk, jn |
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| 59 | REAL(wp), DIMENSION(ndim,nlev) :: za, zb, zc, zr |
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| 60 | REAL(wp), DIMENSION(ndim) :: zbet |
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| 61 | REAL(wp), DIMENSION(ndim,nmax) :: zgamm |
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| 62 | |
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| 63 | REAL(wp) :: aplus,aminus |
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| 64 | REAL(wp) :: rplus,rminus |
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| 65 | REAL(wp) :: dxplus,dxminus |
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| 66 | |
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| 67 | !---------------------------------------------------------------------- |
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| 68 | |
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| 69 | |
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| 70 | ! Computation left hand side of linear system of |
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| 71 | ! equations for dissolution reaction |
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| 72 | !--------------------------------------------- |
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| 73 | |
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| 74 | |
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| 75 | ! first sediment level |
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| 76 | DO ji = 1, ndim |
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| 77 | aplus = ( ( volw3d(ji,1) / dz3d(ji,1) ) + & |
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| 78 | ( volw3d(ji,2) / dz3d(ji,2) ) ) / 2. |
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| 79 | dxplus = ( dz3d(ji,1) + dz3d(ji,2) ) / 2. |
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| 80 | rplus = ( dtsed / volw3d(ji,1) ) * diff(1) * aplus / dxplus |
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| 81 | |
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| 82 | za(ji,1) = 0. |
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| 83 | zb(ji,1) = 1. + rplus |
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| 84 | zc(ji,1) = -rplus |
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| 85 | ENDDO |
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| 86 | |
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| 87 | DO jk = 2, nlev - 1 |
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| 88 | DO ji = 1, ndim |
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| 89 | aminus = ( ( volw3d(ji,jk-1) / dz3d(ji,jk-1) ) + & |
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| 90 | & ( volw3d(ji,jk ) / dz3d(ji,jk ) ) ) / 2. |
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| 91 | dxminus = ( dz3d(ji,jk-1) + dz3d(ji,jk) ) / 2. |
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| 92 | |
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| 93 | aplus = ( ( volw3d(ji,jk ) / dz3d(ji,jk ) ) + & |
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| 94 | & ( volw3d(ji,jk+1) / dz3d(ji,jk+1) ) ) / 2. |
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| 95 | dxplus = ( dz3d(ji,jk) + dz3d(ji,jk+1) ) / 2 |
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| 96 | ! |
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| 97 | rminus = ( dtsed / volw3d(ji,jk) ) * diff(jk-1) * aminus / dxminus |
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| 98 | rplus = ( dtsed / volw3d(ji,jk) ) * diff(jk) * aplus / dxplus |
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| 99 | ! |
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| 100 | za(ji,jk) = -rminus |
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| 101 | zb(ji,jk) = 1. + rminus + rplus |
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| 102 | zc(ji,jk) = -rplus |
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| 103 | END DO |
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| 104 | END DO |
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| 105 | |
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| 106 | DO ji = 1, ndim |
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| 107 | aminus = ( ( volw3d(ji,nlev-1) / dz3d(ji,nlev-1) ) + & |
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| 108 | & ( volw3d(ji,nlev) / dz3d(ji,nlev) ) ) / 2. |
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| 109 | dxminus = ( dz3d(ji,nlev-1) + dz3d(ji,nlev) ) / 2. |
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| 110 | rminus = ( dtsed / volw3d(ji,nlev) ) * diff(nlev-1) * aminus / dxminus |
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| 111 | ! |
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| 112 | za(ji,nlev) = -rminus |
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| 113 | zb(ji,nlev) = 1. + rminus |
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| 114 | zc(ji,nlev) = 0. |
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| 115 | END DO |
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| 116 | |
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| 117 | |
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| 118 | ! solves tridiagonal system of linear equations |
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| 119 | ! ----------------------------------------------- |
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| 120 | |
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| 121 | DO jn = 1, nvar |
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| 122 | |
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| 123 | zr (:,:) = psol(:,:,jn) |
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| 124 | zbet(: ) = zb(:,1) + preac(:,1,jn) |
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| 125 | psol(:,1,jn) = zr(:,1) / zbet(:) |
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| 126 | ! |
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| 127 | DO jk = 2, nlev |
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| 128 | DO ji = 1, ndim |
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| 129 | zgamm(ji,jk) = zc(ji,jk-1) / zbet(ji) |
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| 130 | zbet(ji) = ( zb(ji,jk) + preac(ji,jk,jn) ) - za(ji,jk) * zgamm(ji,jk) |
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| 131 | psol(ji,jk,jn) = ( zr(ji,jk) - za(ji,jk) * psol(ji,jk-1,jn) ) / zbet(ji) |
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| 132 | END DO |
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| 133 | ENDDO |
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| 134 | ! |
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| 135 | DO jk = nlev - 1, 1, -1 |
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| 136 | DO ji = 1,ndim |
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| 137 | psol(ji,jk,jn) = psol(ji,jk,jn) - zgamm(ji,jk+1) * psol(ji,jk+1,jn) |
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| 138 | END DO |
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| 139 | ENDDO |
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| 140 | |
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| 141 | ENDDO |
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| 142 | |
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| 143 | |
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| 144 | END SUBROUTINE sed_mat_dsr |
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| 145 | |
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| 146 | |
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| 147 | SUBROUTINE sed_mat_btb( nvar, ndim, nlev, psol ) |
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| 148 | !!--------------------------------------------------------------------- |
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| 149 | !! *** ROUTINE sed_mat_btb *** |
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| 150 | !! |
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| 151 | !! ** Purpose : solves tridiagonal system of linear equations |
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| 152 | !! |
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| 153 | !! ** Method : |
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| 154 | !! 1 - computes left hand side of linear system of equations |
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| 155 | !! for dissolution reaction |
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| 156 | !! |
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| 157 | !! 2 - forward/backward substitution. |
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| 158 | !! |
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| 159 | !! History : |
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| 160 | !! ! 04-10 (N. Emprin, M. Gehlen ) original |
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| 161 | !! ! 06-04 (C. Ethe) Module Re-organization |
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| 162 | !!---------------------------------------------------------------------- |
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| 163 | !! * Arguments |
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| 164 | INTEGER , INTENT(in) :: & |
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| 165 | nvar , & ! number of variables |
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| 166 | ndim , & ! number of points |
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| 167 | nlev ! number of sediment levels |
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| 168 | |
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| 169 | REAL(wp), DIMENSION(ndim,nlev,nvar), INTENT(inout) :: & |
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| 170 | psol ! solution |
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| 171 | |
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| 172 | !---Local declarations |
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| 173 | INTEGER :: & |
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| 174 | ji, jk, jn |
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| 175 | |
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| 176 | REAL(wp) :: & |
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| 177 | aplus,aminus , & |
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| 178 | rplus,rminus , & |
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| 179 | dxplus,dxminus |
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| 180 | |
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| 181 | REAL(wp), DIMENSION(nlev) :: za, zb, zc |
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| 182 | REAL(wp), DIMENSION(ndim,nlev) :: zr |
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| 183 | REAL(wp), DIMENSION(nmax) :: zgamm |
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| 184 | REAL(wp) :: zbet |
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| 185 | |
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| 186 | |
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| 187 | !---------------------------------------------------------------------- |
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| 188 | |
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| 189 | ! Computation left hand side of linear system of |
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| 190 | ! equations for dissolution reaction |
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| 191 | !--------------------------------------------- |
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| 192 | |
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| 193 | |
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| 194 | ! first sediment level |
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| 195 | aplus = ( ( vols(2) / dz(2) ) + ( vols(3) / dz(3) ) ) / 2. |
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| 196 | dxplus = ( dz(2) + dz(3) ) / 2. |
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| 197 | rplus = ( dtsed / vols(2) ) * db * aplus / dxplus |
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| 198 | |
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| 199 | za(1) = 0. |
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| 200 | zb(1) = 1. + rplus |
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| 201 | zc(1) = -rplus |
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| 202 | |
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| 203 | |
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| 204 | DO jk = 2, nlev - 1 |
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| 205 | aminus = ( ( vols(jk) / dz(jk) ) + ( vols(jk+1) / dz(jk+1) ) ) / 2. |
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| 206 | dxminus = ( dz(jk) + dz(jk+1) ) / 2. |
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| 207 | rminus = ( dtsed / vols(jk+1) ) * db * aminus / dxminus |
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| 208 | ! |
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| 209 | aplus = ( ( vols(jk+1) / dz(jk+1 ) ) + ( vols(jk+2) / dz(jk+2) ) ) / 2. |
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| 210 | dxplus = ( dz(jk+1) + dz(jk+2) ) / 2. |
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| 211 | rplus = ( dtsed / vols(jk+1) ) * db * aplus / dxplus |
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| 212 | ! |
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| 213 | za(jk) = -rminus |
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| 214 | zb(jk) = 1. + rminus + rplus |
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| 215 | zc(jk) = -rplus |
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| 216 | ENDDO |
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| 217 | |
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| 218 | aminus = ( ( vols(nlev) / dz(nlev) ) + ( vols(nlev+1) / dz(nlev+1) ) ) / 2. |
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| 219 | dxminus = ( dz(nlev) + dz(nlev+1) ) / 2. |
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| 220 | rminus = ( dtsed / vols(nlev+1) ) * db * aminus / dxminus |
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| 221 | ! |
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| 222 | |
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| 223 | za(nlev) = -rminus |
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| 224 | zb(nlev) = 1. + rminus |
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| 225 | zc(nlev) = 0. |
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| 226 | |
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| 227 | |
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| 228 | ! solves tridiagonal system of linear equations |
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| 229 | ! ----------------------------------------------- |
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| 230 | DO jn = 1, nvar |
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| 231 | |
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| 232 | zr (:,:) = psol(:,:,jn) |
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| 233 | zbet = zb(1) |
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| 234 | psol(:,1,jn) = zr(:,1) / zbet |
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| 235 | ! |
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| 236 | DO jk = 2, nlev |
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| 237 | zgamm(jk) = zc(jk-1) / zbet |
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| 238 | zbet = zb(jk) - za(jk) * zgamm(jk) |
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| 239 | DO ji = 1, ndim |
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| 240 | psol(ji,jk,jn) = ( zr(ji,jk) - za(jk) * psol(ji,jk-1,jn) ) / zbet |
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| 241 | END DO |
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| 242 | ENDDO |
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| 243 | ! |
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| 244 | DO jk = nlev - 1, 1, -1 |
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| 245 | DO ji = 1,ndim |
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| 246 | psol(ji,jk,jn) = psol(ji,jk,jn) - zgamm(jk+1) * psol(ji,jk+1,jn) |
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| 247 | END DO |
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| 248 | ENDDO |
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| 249 | |
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| 250 | ENDDO |
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| 251 | |
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| 252 | |
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| 253 | END SUBROUTINE sed_mat_btb |
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| 254 | |
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| 255 | |
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| 256 | #else |
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| 257 | !!====================================================================== |
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| 258 | !! MODULE sedmat : Dummy module |
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| 259 | !!====================================================================== |
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[5980] | 260 | !! $Id$ |
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[3443] | 261 | CONTAINS |
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| 262 | SUBROUTINE sed_mat ! Empty routine |
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| 263 | END SUBROUTINE sed_mat |
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| 264 | !!====================================================================== |
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| 265 | #endif |
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| 266 | |
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| 267 | END MODULE sedmat |
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