| 1 | MODULE diffusion_s_mod |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! Actual revisions: |
|---|
| 5 | ! ----------------- |
|---|
| 6 | ! |
|---|
| 7 | ! |
|---|
| 8 | ! Former revisions: |
|---|
| 9 | ! ----------------- |
|---|
| 10 | ! $Id: diffusion_s.f90 198 2008-09-17 08:55:28Z maronga $ |
|---|
| 11 | ! |
|---|
| 12 | ! 183 2008-08-04 15:39:12Z letzel |
|---|
| 13 | ! bugfix: calculation of fluxes at vertical surfaces |
|---|
| 14 | ! |
|---|
| 15 | ! 129 2007-10-30 12:12:24Z letzel |
|---|
| 16 | ! replace wall_heatflux by wall_s_flux that is now included in the parameter |
|---|
| 17 | ! list, bugfix for assignment of fluxes at walls |
|---|
| 18 | ! |
|---|
| 19 | ! 20 2007-02-26 00:12:32Z raasch |
|---|
| 20 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
|---|
| 21 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
|---|
| 22 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b |
|---|
| 23 | ! |
|---|
| 24 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 25 | ! |
|---|
| 26 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
|---|
| 27 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
|---|
| 28 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
|---|
| 29 | ! fluxes at vertically oriented topography |
|---|
| 30 | ! |
|---|
| 31 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
|---|
| 32 | ! Initial revision |
|---|
| 33 | ! |
|---|
| 34 | ! |
|---|
| 35 | ! Description: |
|---|
| 36 | ! ------------ |
|---|
| 37 | ! Diffusion term of scalar quantities (temperature and water content) |
|---|
| 38 | !------------------------------------------------------------------------------! |
|---|
| 39 | |
|---|
| 40 | PRIVATE |
|---|
| 41 | PUBLIC diffusion_s |
|---|
| 42 | |
|---|
| 43 | INTERFACE diffusion_s |
|---|
| 44 | MODULE PROCEDURE diffusion_s |
|---|
| 45 | MODULE PROCEDURE diffusion_s_ij |
|---|
| 46 | END INTERFACE diffusion_s |
|---|
| 47 | |
|---|
| 48 | CONTAINS |
|---|
| 49 | |
|---|
| 50 | |
|---|
| 51 | !------------------------------------------------------------------------------! |
|---|
| 52 | ! Call for all grid points |
|---|
| 53 | !------------------------------------------------------------------------------! |
|---|
| 54 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
|---|
| 55 | wall_s_flux, tend ) |
|---|
| 56 | |
|---|
| 57 | USE control_parameters |
|---|
| 58 | USE grid_variables |
|---|
| 59 | USE indices |
|---|
| 60 | |
|---|
| 61 | IMPLICIT NONE |
|---|
| 62 | |
|---|
| 63 | INTEGER :: i, j, k |
|---|
| 64 | REAL :: vertical_gridspace |
|---|
| 65 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
|---|
| 66 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
|---|
| 67 | REAL :: wall_s_flux(0:4) |
|---|
| 68 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
|---|
| 69 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
|---|
| 70 | |
|---|
| 71 | DO i = nxl, nxr |
|---|
| 72 | DO j = nys,nyn |
|---|
| 73 | ! |
|---|
| 74 | !-- Compute horizontal diffusion |
|---|
| 75 | DO k = nzb_s_outer(j,i)+1, nzt |
|---|
| 76 | |
|---|
| 77 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 78 | + 0.5 * ( & |
|---|
| 79 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
|---|
| 80 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
|---|
| 81 | ) * ddx2 & |
|---|
| 82 | + 0.5 * ( & |
|---|
| 83 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
|---|
| 84 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
|---|
| 85 | ) * ddy2 |
|---|
| 86 | ENDDO |
|---|
| 87 | |
|---|
| 88 | ! |
|---|
| 89 | !-- Apply prescribed horizontal wall heatflux where necessary |
|---|
| 90 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
|---|
| 91 | THEN |
|---|
| 92 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
|---|
| 93 | |
|---|
| 94 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 95 | + ( fwxp(j,i) * 0.5 * & |
|---|
| 96 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
|---|
| 97 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
|---|
| 98 | -fwxm(j,i) * 0.5 * & |
|---|
| 99 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
|---|
| 100 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
|---|
| 101 | ) * ddx2 & |
|---|
| 102 | + ( fwyp(j,i) * 0.5 * & |
|---|
| 103 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
|---|
| 104 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
|---|
| 105 | -fwym(j,i) * 0.5 * & |
|---|
| 106 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
|---|
| 107 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
|---|
| 108 | ) * ddy2 |
|---|
| 109 | ENDDO |
|---|
| 110 | ENDIF |
|---|
| 111 | |
|---|
| 112 | ! |
|---|
| 113 | !-- Compute vertical diffusion. In case that surface fluxes have been |
|---|
| 114 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
|---|
| 115 | !-- nzb+2 or nzt-1, respectively. |
|---|
| 116 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 117 | |
|---|
| 118 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 119 | + 0.5 * ( & |
|---|
| 120 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
|---|
| 121 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
|---|
| 122 | ) * ddzw(k) |
|---|
| 123 | ENDDO |
|---|
| 124 | |
|---|
| 125 | ! |
|---|
| 126 | !-- Vertical diffusion at the first computational gridpoint along |
|---|
| 127 | !-- z-direction |
|---|
| 128 | IF ( use_surface_fluxes ) THEN |
|---|
| 129 | |
|---|
| 130 | k = nzb_s_inner(j,i)+1 |
|---|
| 131 | |
|---|
| 132 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 133 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
|---|
| 134 | * ( s(k+1,j,i)-s(k,j,i) ) & |
|---|
| 135 | * ddzu(k+1) & |
|---|
| 136 | + s_flux_b(j,i) & |
|---|
| 137 | ) * ddzw(k) |
|---|
| 138 | |
|---|
| 139 | ENDIF |
|---|
| 140 | |
|---|
| 141 | ! |
|---|
| 142 | !-- Vertical diffusion at the last computational gridpoint along |
|---|
| 143 | !-- z-direction |
|---|
| 144 | IF ( use_top_fluxes ) THEN |
|---|
| 145 | |
|---|
| 146 | k = nzt |
|---|
| 147 | |
|---|
| 148 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 149 | + ( - s_flux_t(j,i) & |
|---|
| 150 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
|---|
| 151 | * ( s(k,j,i)-s(k-1,j,i) ) & |
|---|
| 152 | * ddzu(k) & |
|---|
| 153 | ) * ddzw(k) |
|---|
| 154 | |
|---|
| 155 | ENDIF |
|---|
| 156 | |
|---|
| 157 | ENDDO |
|---|
| 158 | ENDDO |
|---|
| 159 | |
|---|
| 160 | END SUBROUTINE diffusion_s |
|---|
| 161 | |
|---|
| 162 | |
|---|
| 163 | !------------------------------------------------------------------------------! |
|---|
| 164 | ! Call for grid point i,j |
|---|
| 165 | !------------------------------------------------------------------------------! |
|---|
| 166 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
|---|
| 167 | wall_s_flux, tend ) |
|---|
| 168 | |
|---|
| 169 | USE control_parameters |
|---|
| 170 | USE grid_variables |
|---|
| 171 | USE indices |
|---|
| 172 | |
|---|
| 173 | IMPLICIT NONE |
|---|
| 174 | |
|---|
| 175 | INTEGER :: i, j, k |
|---|
| 176 | REAL :: vertical_gridspace |
|---|
| 177 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
|---|
| 178 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
|---|
| 179 | REAL :: wall_s_flux(0:4) |
|---|
| 180 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
|---|
| 181 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
|---|
| 182 | |
|---|
| 183 | ! |
|---|
| 184 | !-- Compute horizontal diffusion |
|---|
| 185 | DO k = nzb_s_outer(j,i)+1, nzt |
|---|
| 186 | |
|---|
| 187 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 188 | + 0.5 * ( & |
|---|
| 189 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
|---|
| 190 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
|---|
| 191 | ) * ddx2 & |
|---|
| 192 | + 0.5 * ( & |
|---|
| 193 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
|---|
| 194 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
|---|
| 195 | ) * ddy2 |
|---|
| 196 | ENDDO |
|---|
| 197 | |
|---|
| 198 | ! |
|---|
| 199 | !-- Apply prescribed horizontal wall heatflux where necessary |
|---|
| 200 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
|---|
| 201 | THEN |
|---|
| 202 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
|---|
| 203 | |
|---|
| 204 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 205 | + ( fwxp(j,i) * 0.5 * & |
|---|
| 206 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
|---|
| 207 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
|---|
| 208 | -fwxm(j,i) * 0.5 * & |
|---|
| 209 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
|---|
| 210 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
|---|
| 211 | ) * ddx2 & |
|---|
| 212 | + ( fwyp(j,i) * 0.5 * & |
|---|
| 213 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
|---|
| 214 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
|---|
| 215 | -fwym(j,i) * 0.5 * & |
|---|
| 216 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
|---|
| 217 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
|---|
| 218 | ) * ddy2 |
|---|
| 219 | ENDDO |
|---|
| 220 | ENDIF |
|---|
| 221 | |
|---|
| 222 | ! |
|---|
| 223 | !-- Compute vertical diffusion. In case that surface fluxes have been |
|---|
| 224 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
|---|
| 225 | !-- nzb+2 or nzt-1, respectively. |
|---|
| 226 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 227 | |
|---|
| 228 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 229 | + 0.5 * ( & |
|---|
| 230 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
|---|
| 231 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
|---|
| 232 | ) * ddzw(k) |
|---|
| 233 | ENDDO |
|---|
| 234 | |
|---|
| 235 | ! |
|---|
| 236 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
|---|
| 237 | IF ( use_surface_fluxes ) THEN |
|---|
| 238 | |
|---|
| 239 | k = nzb_s_inner(j,i)+1 |
|---|
| 240 | |
|---|
| 241 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
|---|
| 242 | * ( s(k+1,j,i)-s(k,j,i) ) & |
|---|
| 243 | * ddzu(k+1) & |
|---|
| 244 | + s_flux_b(j,i) & |
|---|
| 245 | ) * ddzw(k) |
|---|
| 246 | |
|---|
| 247 | ENDIF |
|---|
| 248 | |
|---|
| 249 | ! |
|---|
| 250 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
|---|
| 251 | IF ( use_top_fluxes ) THEN |
|---|
| 252 | |
|---|
| 253 | k = nzt |
|---|
| 254 | |
|---|
| 255 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
|---|
| 256 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
|---|
| 257 | * ( s(k,j,i)-s(k-1,j,i) ) & |
|---|
| 258 | * ddzu(k) & |
|---|
| 259 | ) * ddzw(k) |
|---|
| 260 | |
|---|
| 261 | ENDIF |
|---|
| 262 | |
|---|
| 263 | END SUBROUTINE diffusion_s_ij |
|---|
| 264 | |
|---|
| 265 | END MODULE diffusion_s_mod |
|---|
