| 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 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: diffusion_s.f90 198 2008-09-17 08:55:28Z steinfeld $ |
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| 11 | ! |
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| 12 | ! 183 2008-08-04 15:39:12Z letzel |
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| 13 | ! bugfix: calculation of fluxes at vertical surfaces |
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| 14 | ! |
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| 15 | ! 129 2007-10-30 12:12:24Z letzel |
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| 16 | ! replace wall_heatflux by wall_s_flux that is now included in the parameter |
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| 17 | ! list, bugfix for assignment of fluxes at walls |
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| 18 | ! |
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| 19 | ! 20 2007-02-26 00:12:32Z raasch |
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| 20 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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| 21 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
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| 22 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b |
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| 23 | ! |
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| 24 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 25 | ! |
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| 26 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
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| 27 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
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| 28 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
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| 29 | ! fluxes at vertically oriented topography |
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| 30 | ! |
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| 31 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 32 | ! Initial revision |
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| 33 | ! |
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| 34 | ! |
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| 35 | ! Description: |
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| 36 | ! ------------ |
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| 37 | ! Diffusion term of scalar quantities (temperature and water content) |
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| 38 | !------------------------------------------------------------------------------! |
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| 39 | |
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| 40 | PRIVATE |
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| 41 | PUBLIC diffusion_s |
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| 42 | |
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| 43 | INTERFACE diffusion_s |
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| 44 | MODULE PROCEDURE diffusion_s |
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| 45 | MODULE PROCEDURE diffusion_s_ij |
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| 46 | END INTERFACE diffusion_s |
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| 47 | |
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| 48 | CONTAINS |
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| 49 | |
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| 50 | |
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| 51 | !------------------------------------------------------------------------------! |
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| 52 | ! Call for all grid points |
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| 53 | !------------------------------------------------------------------------------! |
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| 54 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
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| 55 | wall_s_flux, tend ) |
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| 56 | |
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| 57 | USE control_parameters |
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| 58 | USE grid_variables |
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| 59 | USE indices |
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| 60 | |
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| 61 | IMPLICIT NONE |
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| 62 | |
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| 63 | INTEGER :: i, j, k |
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| 64 | REAL :: vertical_gridspace |
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| 65 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
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| 66 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 67 | REAL :: wall_s_flux(0:4) |
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| 68 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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| 69 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 70 | |
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| 71 | DO i = nxl, nxr |
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| 72 | DO j = nys,nyn |
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| 73 | ! |
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| 74 | !-- Compute horizontal diffusion |
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| 75 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 76 | |
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| 77 | tend(k,j,i) = tend(k,j,i) & |
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| 78 | + 0.5 * ( & |
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| 79 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 80 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 81 | ) * ddx2 & |
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| 82 | + 0.5 * ( & |
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| 83 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 84 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 85 | ) * ddy2 |
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| 86 | ENDDO |
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| 87 | |
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| 88 | ! |
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| 89 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 90 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 91 | THEN |
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| 92 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 93 | |
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| 94 | tend(k,j,i) = tend(k,j,i) & |
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| 95 | + ( fwxp(j,i) * 0.5 * & |
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| 96 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 97 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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| 98 | -fwxm(j,i) * 0.5 * & |
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| 99 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 100 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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| 101 | ) * ddx2 & |
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| 102 | + ( fwyp(j,i) * 0.5 * & |
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| 103 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 104 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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| 105 | -fwym(j,i) * 0.5 * & |
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| 106 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 107 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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| 108 | ) * ddy2 |
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| 109 | ENDDO |
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| 110 | ENDIF |
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| 111 | |
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| 112 | ! |
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| 113 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 114 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 115 | !-- nzb+2 or nzt-1, respectively. |
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| 116 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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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 * ( & |
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| 120 | ( 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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| 121 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 122 | ) * ddzw(k) |
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| 123 | ENDDO |
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| 124 | |
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| 125 | ! |
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| 126 | !-- Vertical diffusion at the first computational gridpoint along |
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| 127 | !-- z-direction |
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| 128 | IF ( use_surface_fluxes ) THEN |
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| 129 | |
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| 130 | k = nzb_s_inner(j,i)+1 |
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| 131 | |
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| 132 | tend(k,j,i) = tend(k,j,i) & |
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| 133 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 134 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 135 | * ddzu(k+1) & |
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| 136 | + s_flux_b(j,i) & |
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| 137 | ) * ddzw(k) |
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| 138 | |
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| 139 | ENDIF |
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| 140 | |
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| 141 | ! |
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| 142 | !-- Vertical diffusion at the last computational gridpoint along |
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| 143 | !-- z-direction |
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| 144 | IF ( use_top_fluxes ) THEN |
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| 145 | |
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| 146 | k = nzt |
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| 147 | |
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| 148 | tend(k,j,i) = tend(k,j,i) & |
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| 149 | + ( - s_flux_t(j,i) & |
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| 150 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 151 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 152 | * ddzu(k) & |
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| 153 | ) * ddzw(k) |
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| 154 | |
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| 155 | ENDIF |
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| 156 | |
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| 157 | ENDDO |
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| 158 | ENDDO |
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| 159 | |
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| 160 | END SUBROUTINE diffusion_s |
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| 161 | |
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| 162 | |
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| 163 | !------------------------------------------------------------------------------! |
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| 164 | ! Call for grid point i,j |
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| 165 | !------------------------------------------------------------------------------! |
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| 166 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
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| 167 | wall_s_flux, tend ) |
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| 168 | |
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| 169 | USE control_parameters |
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| 170 | USE grid_variables |
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| 171 | USE indices |
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| 172 | |
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| 173 | IMPLICIT NONE |
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| 174 | |
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| 175 | INTEGER :: i, j, k |
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| 176 | REAL :: vertical_gridspace |
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| 177 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
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| 178 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 179 | REAL :: wall_s_flux(0:4) |
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| 180 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
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| 181 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 182 | |
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| 183 | ! |
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| 184 | !-- Compute horizontal diffusion |
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| 185 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 186 | |
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| 187 | tend(k,j,i) = tend(k,j,i) & |
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| 188 | + 0.5 * ( & |
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| 189 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 190 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 191 | ) * ddx2 & |
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| 192 | + 0.5 * ( & |
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| 193 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 194 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 195 | ) * ddy2 |
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| 196 | ENDDO |
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| 197 | |
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| 198 | ! |
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| 199 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 200 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 201 | THEN |
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| 202 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 203 | |
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| 204 | tend(k,j,i) = tend(k,j,i) & |
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| 205 | + ( fwxp(j,i) * 0.5 * & |
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| 206 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 207 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
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| 208 | -fwxm(j,i) * 0.5 * & |
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| 209 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 210 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
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| 211 | ) * ddx2 & |
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| 212 | + ( fwyp(j,i) * 0.5 * & |
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| 213 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 214 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
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| 215 | -fwym(j,i) * 0.5 * & |
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| 216 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 217 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
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| 218 | ) * ddy2 |
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| 219 | ENDDO |
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| 220 | ENDIF |
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| 221 | |
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| 222 | ! |
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| 223 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 224 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 225 | !-- nzb+2 or nzt-1, respectively. |
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| 226 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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| 227 | |
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| 228 | tend(k,j,i) = tend(k,j,i) & |
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| 229 | + 0.5 * ( & |
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| 230 | ( 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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| 231 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 232 | ) * ddzw(k) |
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| 233 | ENDDO |
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| 234 | |
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| 235 | ! |
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| 236 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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| 237 | IF ( use_surface_fluxes ) THEN |
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| 238 | |
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| 239 | k = nzb_s_inner(j,i)+1 |
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| 240 | |
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| 241 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 242 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 243 | * ddzu(k+1) & |
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| 244 | + s_flux_b(j,i) & |
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| 245 | ) * ddzw(k) |
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| 246 | |
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| 247 | ENDIF |
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| 248 | |
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| 249 | ! |
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| 250 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 251 | IF ( use_top_fluxes ) THEN |
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| 252 | |
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| 253 | k = nzt |
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| 254 | |
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| 255 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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| 256 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 257 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 258 | * ddzu(k) & |
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| 259 | ) * ddzw(k) |
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| 260 | |
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| 261 | ENDIF |
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| 262 | |
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| 263 | END SUBROUTINE diffusion_s_ij |
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| 264 | |
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| 265 | END MODULE diffusion_s_mod |
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