| 1 | MODULE diffusion_s_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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| 6 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
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| 7 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b |
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| 8 | ! |
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| 9 | ! Former revisions: |
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| 10 | ! ----------------- |
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| 11 | ! $Id: diffusion_s.f90 19 2007-02-23 04:53:48Z raasch $ |
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| 12 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 13 | ! |
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| 14 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
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| 15 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
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| 16 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
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| 17 | ! fluxes at vertically oriented topography |
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| 18 | ! |
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| 19 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 20 | ! Initial revision |
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| 21 | ! |
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| 22 | ! |
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| 23 | ! Description: |
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| 24 | ! ------------ |
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| 25 | ! Diffusion term of scalar quantities (temperature and water content) |
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| 26 | !------------------------------------------------------------------------------! |
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| 27 | |
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| 28 | PRIVATE |
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| 29 | PUBLIC diffusion_s |
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| 30 | |
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| 31 | INTERFACE diffusion_s |
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| 32 | MODULE PROCEDURE diffusion_s |
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| 33 | MODULE PROCEDURE diffusion_s_ij |
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| 34 | END INTERFACE diffusion_s |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | |
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| 39 | !------------------------------------------------------------------------------! |
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| 40 | ! Call for all grid points |
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| 41 | !------------------------------------------------------------------------------! |
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| 42 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, tend ) |
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| 43 | |
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| 44 | USE control_parameters |
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| 45 | USE grid_variables |
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| 46 | USE indices |
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| 47 | |
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| 48 | IMPLICIT NONE |
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| 49 | |
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| 50 | INTEGER :: i, j, k |
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| 51 | REAL :: vertical_gridspace |
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| 52 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt) |
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| 53 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 54 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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| 55 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 56 | |
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| 57 | DO i = nxl, nxr |
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| 58 | DO j = nys,nyn |
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| 59 | ! |
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| 60 | !-- Compute horizontal diffusion |
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| 61 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 62 | |
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| 63 | tend(k,j,i) = tend(k,j,i) & |
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| 64 | + 0.5 * ( & |
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| 65 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 66 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 67 | ) * ddx2 & |
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| 68 | + 0.5 * ( & |
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| 69 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 70 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 71 | ) * ddy2 |
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| 72 | ENDDO |
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| 73 | |
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| 74 | ! |
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| 75 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 76 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 77 | THEN |
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| 78 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 79 | |
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| 80 | tend(k,j,i) = tend(k,j,i) & |
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| 81 | + 0.5 * ( fwxp(j,i) * & |
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| 82 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 83 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
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| 84 | -fwxm(j,i) * & |
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| 85 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 86 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
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| 87 | ) * ddx2 & |
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| 88 | + 0.5 * ( fwyp(j,i) * & |
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| 89 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 90 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
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| 91 | -fwym(j,i) * & |
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| 92 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 93 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
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| 94 | ) * ddy2 |
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| 95 | ENDDO |
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| 96 | ENDIF |
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| 97 | |
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| 98 | ! |
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| 99 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 100 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 101 | !-- nzb+2 or nzt-1, respectively. |
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| 102 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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| 103 | |
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| 104 | tend(k,j,i) = tend(k,j,i) & |
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| 105 | + 0.5 * ( & |
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| 106 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 107 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 108 | ) * ddzw(k) |
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| 109 | ENDDO |
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| 110 | |
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| 111 | ! |
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| 112 | !-- Vertical diffusion at the first computational gridpoint along |
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| 113 | !-- z-direction |
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| 114 | IF ( use_surface_fluxes ) THEN |
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| 115 | |
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| 116 | k = nzb_s_inner(j,i)+1 |
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| 117 | |
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| 118 | tend(k,j,i) = tend(k,j,i) & |
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| 119 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 120 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 121 | * ddzu(k+1) & |
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| 122 | + s_flux_b(j,i) & |
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| 123 | ) * ddzw(k) |
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| 124 | |
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| 125 | ENDIF |
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| 126 | |
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| 127 | ! |
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| 128 | !-- Vertical diffusion at the last computational gridpoint along |
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| 129 | !-- z-direction |
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| 130 | IF ( use_top_fluxes ) THEN |
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| 131 | |
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| 132 | k = nzt |
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| 133 | |
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| 134 | tend(k,j,i) = tend(k,j,i) & |
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| 135 | + ( - s_flux_t(j,i) & |
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| 136 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 137 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 138 | * ddzu(k) & |
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| 139 | ) * ddzw(k) |
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| 140 | |
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| 141 | ENDIF |
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| 142 | |
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| 143 | ENDDO |
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| 144 | ENDDO |
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| 145 | |
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| 146 | END SUBROUTINE diffusion_s |
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| 147 | |
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| 148 | |
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| 149 | !------------------------------------------------------------------------------! |
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| 150 | ! Call for grid point i,j |
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| 151 | !------------------------------------------------------------------------------! |
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| 152 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
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| 153 | tend ) |
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| 154 | |
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| 155 | USE control_parameters |
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| 156 | USE grid_variables |
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| 157 | USE indices |
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| 158 | |
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| 159 | IMPLICIT NONE |
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| 160 | |
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| 161 | INTEGER :: i, j, k |
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| 162 | REAL :: vertical_gridspace |
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| 163 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt) |
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| 164 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 165 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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| 166 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 167 | |
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| 168 | ! |
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| 169 | !-- Compute horizontal diffusion |
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| 170 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 171 | |
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| 172 | tend(k,j,i) = tend(k,j,i) & |
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| 173 | + 0.5 * ( & |
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| 174 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 175 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 176 | ) * ddx2 & |
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| 177 | + 0.5 * ( & |
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| 178 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 179 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 180 | ) * ddy2 |
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| 181 | ENDDO |
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| 182 | |
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| 183 | ! |
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| 184 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 185 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 186 | THEN |
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| 187 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 188 | |
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| 189 | tend(k,j,i) = tend(k,j,i) & |
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| 190 | + 0.5 * ( fwxp(j,i) * & |
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| 191 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 192 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
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| 193 | -fwxm(j,i) * & |
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| 194 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 195 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
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| 196 | ) * ddx2 & |
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| 197 | + 0.5 * ( fwyp(j,i) * & |
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| 198 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 199 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
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| 200 | -fwym(j,i) * & |
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| 201 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 202 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
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| 203 | ) * ddy2 |
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| 204 | ENDDO |
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| 205 | ENDIF |
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| 206 | |
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| 207 | ! |
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| 208 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 209 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 210 | !-- nzb+2 or nzt-1, respectively. |
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| 211 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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| 212 | |
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| 213 | tend(k,j,i) = tend(k,j,i) & |
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| 214 | + 0.5 * ( & |
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| 215 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 216 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 217 | ) * ddzw(k) |
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| 218 | ENDDO |
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| 219 | |
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| 220 | ! |
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| 221 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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| 222 | IF ( use_surface_fluxes ) THEN |
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| 223 | |
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| 224 | k = nzb_s_inner(j,i)+1 |
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| 225 | |
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| 226 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 227 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 228 | * ddzu(k+1) & |
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| 229 | + s_flux_b(j,i) & |
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| 230 | ) * ddzw(k) |
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| 231 | |
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| 232 | ENDIF |
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| 233 | |
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| 234 | ! |
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| 235 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 236 | IF ( use_top_fluxes ) THEN |
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| 237 | |
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| 238 | k = nzt |
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| 239 | |
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| 240 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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| 241 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 242 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 243 | * ddzu(k) & |
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| 244 | ) * ddzw(k) |
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| 245 | |
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| 246 | ENDIF |
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| 247 | |
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| 248 | END SUBROUTINE diffusion_s_ij |
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| 249 | |
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| 250 | END MODULE diffusion_s_mod |
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