| 1 | MODULE production_e_mod |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! Actual revisions: |
|---|
| 5 | ! ----------------- |
|---|
| 6 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
|---|
| 7 | ! in case of diabatic conditions |
|---|
| 8 | ! |
|---|
| 9 | ! Former revisions: |
|---|
| 10 | ! ----------------- |
|---|
| 11 | ! $Id: production_e.f90 208 2008-10-20 06:02:59Z letzel $ |
|---|
| 12 | ! |
|---|
| 13 | ! 187 2008-08-06 16:25:09Z letzel |
|---|
| 14 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
|---|
| 15 | ! consistency with subroutine wall_fluxes |
|---|
| 16 | ! |
|---|
| 17 | ! 124 2007-10-19 15:47:46Z raasch |
|---|
| 18 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
|---|
| 19 | ! |
|---|
| 20 | ! 108 2007-08-24 15:10:38Z letzel |
|---|
| 21 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
|---|
| 22 | ! use_reference = .T., |
|---|
| 23 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
|---|
| 24 | ! not available in case of non-cyclic boundary conditions) |
|---|
| 25 | ! Bugfix for ocean density flux at bottom |
|---|
| 26 | ! |
|---|
| 27 | ! 97 2007-06-21 08:23:15Z raasch |
|---|
| 28 | ! Energy production by density flux (in ocean) added |
|---|
| 29 | ! use_pt_reference renamed use_reference |
|---|
| 30 | ! |
|---|
| 31 | ! 75 2007-03-22 09:54:05Z raasch |
|---|
| 32 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
|---|
| 33 | ! reference temperature pt_reference can be used in buoyancy term, |
|---|
| 34 | ! moisture renamed humidity |
|---|
| 35 | ! |
|---|
| 36 | ! 37 2007-03-01 08:33:54Z raasch |
|---|
| 37 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
|---|
| 38 | ! humidity fluxes at the top, wall-part is now executed in case that a |
|---|
| 39 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
|---|
| 40 | ! |
|---|
| 41 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 42 | ! |
|---|
| 43 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
|---|
| 44 | ! OpenMP parallelization of production_e_init |
|---|
| 45 | ! |
|---|
| 46 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
|---|
| 47 | ! Initial revision |
|---|
| 48 | ! |
|---|
| 49 | ! |
|---|
| 50 | ! Description: |
|---|
| 51 | ! ------------ |
|---|
| 52 | ! Production terms (shear + buoyancy) of the TKE |
|---|
| 53 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
|---|
| 54 | ! not considered well! |
|---|
| 55 | !------------------------------------------------------------------------------! |
|---|
| 56 | |
|---|
| 57 | USE wall_fluxes_mod |
|---|
| 58 | |
|---|
| 59 | PRIVATE |
|---|
| 60 | PUBLIC production_e, production_e_init |
|---|
| 61 | |
|---|
| 62 | LOGICAL, SAVE :: first_call = .TRUE. |
|---|
| 63 | |
|---|
| 64 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
|---|
| 65 | |
|---|
| 66 | INTERFACE production_e |
|---|
| 67 | MODULE PROCEDURE production_e |
|---|
| 68 | MODULE PROCEDURE production_e_ij |
|---|
| 69 | END INTERFACE production_e |
|---|
| 70 | |
|---|
| 71 | INTERFACE production_e_init |
|---|
| 72 | MODULE PROCEDURE production_e_init |
|---|
| 73 | END INTERFACE production_e_init |
|---|
| 74 | |
|---|
| 75 | CONTAINS |
|---|
| 76 | |
|---|
| 77 | |
|---|
| 78 | !------------------------------------------------------------------------------! |
|---|
| 79 | ! Call for all grid points |
|---|
| 80 | !------------------------------------------------------------------------------! |
|---|
| 81 | SUBROUTINE production_e |
|---|
| 82 | |
|---|
| 83 | USE arrays_3d |
|---|
| 84 | USE cloud_parameters |
|---|
| 85 | USE control_parameters |
|---|
| 86 | USE grid_variables |
|---|
| 87 | USE indices |
|---|
| 88 | USE statistics |
|---|
| 89 | |
|---|
| 90 | IMPLICIT NONE |
|---|
| 91 | |
|---|
| 92 | INTEGER :: i, j, k |
|---|
| 93 | |
|---|
| 94 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| 95 | k1, k2, km_neutral, theta, temp |
|---|
| 96 | |
|---|
| 97 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
|---|
| 98 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
|---|
| 99 | |
|---|
| 100 | ! |
|---|
| 101 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
|---|
| 102 | !-- vertical walls, if neccessary |
|---|
| 103 | !-- So far, results are slightly different from the ij-Version. |
|---|
| 104 | !-- Therefore, ij-Version is called further below within the ij-loops. |
|---|
| 105 | ! IF ( topography /= 'flat' ) THEN |
|---|
| 106 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
|---|
| 107 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
|---|
| 108 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
|---|
| 109 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
|---|
| 110 | ! ENDIF |
|---|
| 111 | |
|---|
| 112 | ! |
|---|
| 113 | !-- Calculate TKE production by shear |
|---|
| 114 | DO i = nxl, nxr |
|---|
| 115 | |
|---|
| 116 | DO j = nys, nyn |
|---|
| 117 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| 118 | |
|---|
| 119 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 120 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 121 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 122 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 123 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 124 | |
|---|
| 125 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 126 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 127 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 128 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 129 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 130 | |
|---|
| 131 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 132 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 133 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 134 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 135 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 136 | |
|---|
| 137 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 138 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 139 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 140 | |
|---|
| 141 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 142 | |
|---|
| 143 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 144 | |
|---|
| 145 | ENDDO |
|---|
| 146 | ENDDO |
|---|
| 147 | |
|---|
| 148 | IF ( prandtl_layer ) THEN |
|---|
| 149 | |
|---|
| 150 | ! |
|---|
| 151 | !-- Position beneath wall |
|---|
| 152 | !-- (2) - Will allways be executed. |
|---|
| 153 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 154 | DO j = nys, nyn |
|---|
| 155 | |
|---|
| 156 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 157 | THEN |
|---|
| 158 | |
|---|
| 159 | k = nzb_diff_s_inner(j,i) - 1 |
|---|
| 160 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 161 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 162 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 163 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 164 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 165 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 166 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 167 | |
|---|
| 168 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 169 | ! |
|---|
| 170 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 171 | !-- not taken into account for the evaluation of the wall |
|---|
| 172 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 173 | !-- be used for the evaluation of the velocity gradients dudy |
|---|
| 174 | !-- and dwdy |
|---|
| 175 | !-- Note: The validity of the new method has not yet been |
|---|
| 176 | !-- shown, as so far no suitable data for a validation |
|---|
| 177 | !-- has been available |
|---|
| 178 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 179 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 180 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 181 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 182 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
|---|
| 183 | 0.5 * dy |
|---|
| 184 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 185 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 186 | ELSE |
|---|
| 187 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 188 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 189 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 190 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 191 | ENDIF |
|---|
| 192 | |
|---|
| 193 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 194 | ! |
|---|
| 195 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 196 | !-- not taken into account for the evaluation of the wall |
|---|
| 197 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 198 | !-- be used for the evaluation of the velocity gradients dvdx |
|---|
| 199 | !-- and dwdx |
|---|
| 200 | !-- Note: The validity of the new method has not yet been |
|---|
| 201 | !-- shown, as so far no suitable data for a validation |
|---|
| 202 | !-- has been available |
|---|
| 203 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 204 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 205 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 206 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 207 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
|---|
| 208 | 0.5 * dx |
|---|
| 209 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 210 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 211 | ELSE |
|---|
| 212 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 213 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 214 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 215 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 216 | ENDIF |
|---|
| 217 | |
|---|
| 218 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 219 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 220 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 221 | |
|---|
| 222 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 223 | |
|---|
| 224 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 225 | |
|---|
| 226 | |
|---|
| 227 | ! |
|---|
| 228 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 229 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 230 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 231 | !-- already been calculated for (2). |
|---|
| 232 | !-- 'wall only: use wall functions' |
|---|
| 233 | |
|---|
| 234 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 235 | |
|---|
| 236 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 237 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 238 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 239 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 240 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 241 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 242 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 243 | |
|---|
| 244 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 245 | ! |
|---|
| 246 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 247 | !-- is not taken into account for the evaluation of the |
|---|
| 248 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 249 | !-- must not be used for the evaluation of the velocity |
|---|
| 250 | !-- gradients dudy and dwdy |
|---|
| 251 | !-- Note: The validity of the new method has not yet |
|---|
| 252 | !-- been shown, as so far no suitable data for a |
|---|
| 253 | !-- validation has been available |
|---|
| 254 | km_neutral = kappa * ( usvs(k)**2 + & |
|---|
| 255 | wsvs(k)**2 )**0.25 * 0.5 * dy |
|---|
| 256 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 257 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 258 | ELSE |
|---|
| 259 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 260 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 261 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 262 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 263 | ENDIF |
|---|
| 264 | |
|---|
| 265 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 266 | ! |
|---|
| 267 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 268 | !-- is not taken into account for the evaluation of the |
|---|
| 269 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 270 | !-- must not be used for the evaluation of the velocity |
|---|
| 271 | !-- gradients dvdx and dwdx |
|---|
| 272 | !-- Note: The validity of the new method has not yet |
|---|
| 273 | !-- been shown, as so far no suitable data for a |
|---|
| 274 | !-- validation has been available |
|---|
| 275 | km_neutral = kappa * ( vsus(k)**2 + & |
|---|
| 276 | wsus(k)**2 )**0.25 * 0.5 * dx |
|---|
| 277 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 278 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 279 | ELSE |
|---|
| 280 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 281 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 282 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 283 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 284 | ENDIF |
|---|
| 285 | |
|---|
| 286 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 287 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 288 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 289 | |
|---|
| 290 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 291 | |
|---|
| 292 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 293 | |
|---|
| 294 | ENDDO |
|---|
| 295 | |
|---|
| 296 | ENDIF |
|---|
| 297 | |
|---|
| 298 | ENDDO |
|---|
| 299 | |
|---|
| 300 | ! |
|---|
| 301 | !-- (4) - will allways be executed. |
|---|
| 302 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 303 | DO j = nys, nyn |
|---|
| 304 | |
|---|
| 305 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 306 | THEN |
|---|
| 307 | |
|---|
| 308 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 309 | |
|---|
| 310 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 311 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 312 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 313 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 314 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 315 | |
|---|
| 316 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 317 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 318 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 319 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 320 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 321 | |
|---|
| 322 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 323 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 324 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 325 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 326 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 327 | |
|---|
| 328 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 329 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 330 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 331 | |
|---|
| 332 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 333 | |
|---|
| 334 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 335 | |
|---|
| 336 | ENDIF |
|---|
| 337 | |
|---|
| 338 | ENDDO |
|---|
| 339 | |
|---|
| 340 | ! |
|---|
| 341 | !-- Position without adjacent wall |
|---|
| 342 | !-- (1) - will allways be executed. |
|---|
| 343 | !-- 'bottom only: use u_0,v_0' |
|---|
| 344 | DO j = nys, nyn |
|---|
| 345 | |
|---|
| 346 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
|---|
| 347 | THEN |
|---|
| 348 | |
|---|
| 349 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 350 | |
|---|
| 351 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 352 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 353 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 354 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 355 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 356 | |
|---|
| 357 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 358 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 359 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 360 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 361 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 362 | |
|---|
| 363 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 364 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 365 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 366 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 367 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 368 | |
|---|
| 369 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 370 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 371 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 372 | |
|---|
| 373 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 374 | |
|---|
| 375 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 376 | |
|---|
| 377 | ENDIF |
|---|
| 378 | |
|---|
| 379 | ENDDO |
|---|
| 380 | |
|---|
| 381 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 382 | |
|---|
| 383 | DO j = nys, nyn |
|---|
| 384 | |
|---|
| 385 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 386 | |
|---|
| 387 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 388 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 389 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 390 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 391 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 392 | |
|---|
| 393 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 394 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 395 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 396 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 397 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 398 | |
|---|
| 399 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 400 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 401 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 402 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 403 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 404 | |
|---|
| 405 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 406 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 407 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 408 | |
|---|
| 409 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 410 | |
|---|
| 411 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 412 | |
|---|
| 413 | ENDDO |
|---|
| 414 | |
|---|
| 415 | ENDIF |
|---|
| 416 | |
|---|
| 417 | ! |
|---|
| 418 | !-- Calculate TKE production by buoyancy |
|---|
| 419 | IF ( .NOT. humidity ) THEN |
|---|
| 420 | |
|---|
| 421 | IF ( use_reference ) THEN |
|---|
| 422 | |
|---|
| 423 | IF ( ocean ) THEN |
|---|
| 424 | ! |
|---|
| 425 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 426 | !-- the bottom and top surface layer |
|---|
| 427 | DO j = nys, nyn |
|---|
| 428 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 429 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 430 | kh(k,j,i) * g / prho_reference * & |
|---|
| 431 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 432 | ENDDO |
|---|
| 433 | ENDDO |
|---|
| 434 | |
|---|
| 435 | ELSE |
|---|
| 436 | |
|---|
| 437 | DO j = nys, nyn |
|---|
| 438 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 439 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 440 | kh(k,j,i) * g / pt_reference * & |
|---|
| 441 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 442 | ENDDO |
|---|
| 443 | |
|---|
| 444 | IF ( use_surface_fluxes ) THEN |
|---|
| 445 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 446 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 447 | ENDIF |
|---|
| 448 | |
|---|
| 449 | IF ( use_top_fluxes ) THEN |
|---|
| 450 | k = nzt |
|---|
| 451 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 452 | tswst(j,i) |
|---|
| 453 | ENDIF |
|---|
| 454 | ENDDO |
|---|
| 455 | |
|---|
| 456 | ENDIF |
|---|
| 457 | |
|---|
| 458 | ELSE |
|---|
| 459 | |
|---|
| 460 | IF ( ocean ) THEN |
|---|
| 461 | ! |
|---|
| 462 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 463 | !-- the bottom and top surface layer |
|---|
| 464 | DO j = nys, nyn |
|---|
| 465 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 466 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 467 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 468 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 469 | ENDDO |
|---|
| 470 | ENDDO |
|---|
| 471 | |
|---|
| 472 | ELSE |
|---|
| 473 | |
|---|
| 474 | DO j = nys, nyn |
|---|
| 475 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 476 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 477 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 478 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 479 | ENDDO |
|---|
| 480 | |
|---|
| 481 | IF ( use_surface_fluxes ) THEN |
|---|
| 482 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 483 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 484 | ENDIF |
|---|
| 485 | |
|---|
| 486 | IF ( use_top_fluxes ) THEN |
|---|
| 487 | k = nzt |
|---|
| 488 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 489 | ENDIF |
|---|
| 490 | ENDDO |
|---|
| 491 | |
|---|
| 492 | ENDIF |
|---|
| 493 | |
|---|
| 494 | ENDIF |
|---|
| 495 | |
|---|
| 496 | ELSE |
|---|
| 497 | |
|---|
| 498 | DO j = nys, nyn |
|---|
| 499 | |
|---|
| 500 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 501 | |
|---|
| 502 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 503 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 504 | k2 = 0.61 * pt(k,j,i) |
|---|
| 505 | ELSE |
|---|
| 506 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 507 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 508 | k2 = 0.61 * pt(k,j,i) |
|---|
| 509 | ELSE |
|---|
| 510 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 511 | temp = theta * t_d_pt(k) |
|---|
| 512 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 513 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 514 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 515 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 516 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 517 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 518 | ENDIF |
|---|
| 519 | ENDIF |
|---|
| 520 | |
|---|
| 521 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 522 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 523 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 524 | ) * dd2zu(k) |
|---|
| 525 | ENDDO |
|---|
| 526 | |
|---|
| 527 | ENDDO |
|---|
| 528 | |
|---|
| 529 | IF ( use_surface_fluxes ) THEN |
|---|
| 530 | |
|---|
| 531 | DO j = nys, nyn |
|---|
| 532 | |
|---|
| 533 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 534 | |
|---|
| 535 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 536 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 537 | k2 = 0.61 * pt(k,j,i) |
|---|
| 538 | ELSE |
|---|
| 539 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 540 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 541 | k2 = 0.61 * pt(k,j,i) |
|---|
| 542 | ELSE |
|---|
| 543 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 544 | temp = theta * t_d_pt(k) |
|---|
| 545 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 546 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 547 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 548 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 549 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 550 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 551 | ENDIF |
|---|
| 552 | ENDIF |
|---|
| 553 | |
|---|
| 554 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 555 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 556 | ENDDO |
|---|
| 557 | |
|---|
| 558 | ENDIF |
|---|
| 559 | |
|---|
| 560 | IF ( use_top_fluxes ) THEN |
|---|
| 561 | |
|---|
| 562 | DO j = nys, nyn |
|---|
| 563 | |
|---|
| 564 | k = nzt |
|---|
| 565 | |
|---|
| 566 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 567 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 568 | k2 = 0.61 * pt(k,j,i) |
|---|
| 569 | ELSE |
|---|
| 570 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 571 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 572 | k2 = 0.61 * pt(k,j,i) |
|---|
| 573 | ELSE |
|---|
| 574 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 575 | temp = theta * t_d_pt(k) |
|---|
| 576 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 577 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 578 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 579 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 580 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 581 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 582 | ENDIF |
|---|
| 583 | ENDIF |
|---|
| 584 | |
|---|
| 585 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 586 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 587 | ENDDO |
|---|
| 588 | |
|---|
| 589 | ENDIF |
|---|
| 590 | |
|---|
| 591 | ENDIF |
|---|
| 592 | |
|---|
| 593 | ENDDO |
|---|
| 594 | |
|---|
| 595 | END SUBROUTINE production_e |
|---|
| 596 | |
|---|
| 597 | |
|---|
| 598 | !------------------------------------------------------------------------------! |
|---|
| 599 | ! Call for grid point i,j |
|---|
| 600 | !------------------------------------------------------------------------------! |
|---|
| 601 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 602 | |
|---|
| 603 | USE arrays_3d |
|---|
| 604 | USE cloud_parameters |
|---|
| 605 | USE control_parameters |
|---|
| 606 | USE grid_variables |
|---|
| 607 | USE indices |
|---|
| 608 | USE statistics |
|---|
| 609 | |
|---|
| 610 | IMPLICIT NONE |
|---|
| 611 | |
|---|
| 612 | INTEGER :: i, j, k |
|---|
| 613 | |
|---|
| 614 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| 615 | k1, k2, km_neutral, theta, temp |
|---|
| 616 | |
|---|
| 617 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
|---|
| 618 | |
|---|
| 619 | ! |
|---|
| 620 | !-- Calculate TKE production by shear |
|---|
| 621 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| 622 | |
|---|
| 623 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 624 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 625 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 626 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 627 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 628 | |
|---|
| 629 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 630 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 631 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 632 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 633 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 634 | |
|---|
| 635 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 636 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 637 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 638 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 639 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 640 | |
|---|
| 641 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 642 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 643 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 644 | |
|---|
| 645 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 646 | |
|---|
| 647 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 648 | |
|---|
| 649 | ENDDO |
|---|
| 650 | |
|---|
| 651 | IF ( prandtl_layer ) THEN |
|---|
| 652 | |
|---|
| 653 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
|---|
| 654 | |
|---|
| 655 | ! |
|---|
| 656 | !-- Position beneath wall |
|---|
| 657 | !-- (2) - Will allways be executed. |
|---|
| 658 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 659 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 660 | |
|---|
| 661 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 662 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 663 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 664 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 665 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 666 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 667 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 668 | |
|---|
| 669 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 670 | ! |
|---|
| 671 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 672 | !-- is not taken into account for the evaluation of the |
|---|
| 673 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 674 | !-- must not be used for the evaluation of the velocity |
|---|
| 675 | !-- gradients dudy and dwdy |
|---|
| 676 | !-- Note: The validity of the new method has not yet |
|---|
| 677 | !-- been shown, as so far no suitable data for a |
|---|
| 678 | !-- validation has been available |
|---|
| 679 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 680 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 681 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 682 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 683 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
|---|
| 684 | 0.5 * dy |
|---|
| 685 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 686 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 687 | ELSE |
|---|
| 688 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 689 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 690 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 691 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 692 | ENDIF |
|---|
| 693 | |
|---|
| 694 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 695 | ! |
|---|
| 696 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 697 | !-- is not taken into account for the evaluation of the |
|---|
| 698 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 699 | !-- must not be used for the evaluation of the velocity |
|---|
| 700 | !-- gradients dvdx and dwdx |
|---|
| 701 | !-- Note: The validity of the new method has not yet |
|---|
| 702 | !-- been shown, as so far no suitable data for a |
|---|
| 703 | !-- validation has been available |
|---|
| 704 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 705 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 706 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 707 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 708 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
|---|
| 709 | 0.5 * dx |
|---|
| 710 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 711 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 712 | ELSE |
|---|
| 713 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 714 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 715 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 716 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 717 | ENDIF |
|---|
| 718 | |
|---|
| 719 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 720 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 721 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 722 | |
|---|
| 723 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 724 | |
|---|
| 725 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 726 | |
|---|
| 727 | ! |
|---|
| 728 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 729 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 730 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 731 | !-- already been calculated for (2). |
|---|
| 732 | !-- 'wall only: use wall functions' |
|---|
| 733 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 734 | |
|---|
| 735 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 736 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 737 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 738 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 739 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 740 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 741 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 742 | |
|---|
| 743 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 744 | ! |
|---|
| 745 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 746 | !-- is not taken into account for the evaluation of the |
|---|
| 747 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 748 | !-- must not be used for the evaluation of the velocity |
|---|
| 749 | !-- gradients dudy and dwdy |
|---|
| 750 | !-- Note: The validity of the new method has not yet |
|---|
| 751 | !-- been shown, as so far no suitable data for a |
|---|
| 752 | !-- validation has been available |
|---|
| 753 | km_neutral = kappa * ( usvs(k)**2 + & |
|---|
| 754 | wsvs(k)**2 )**0.25 * 0.5 * dy |
|---|
| 755 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 756 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 757 | ELSE |
|---|
| 758 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 759 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 760 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 761 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 762 | ENDIF |
|---|
| 763 | |
|---|
| 764 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 765 | ! |
|---|
| 766 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 767 | !-- is not taken into account for the evaluation of the |
|---|
| 768 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 769 | !-- must not be used for the evaluation of the velocity |
|---|
| 770 | !-- gradients dvdx and dwdx |
|---|
| 771 | !-- Note: The validity of the new method has not yet |
|---|
| 772 | !-- been shown, as so far no suitable data for a |
|---|
| 773 | !-- validation has been available |
|---|
| 774 | km_neutral = kappa * ( vsus(k)**2 + & |
|---|
| 775 | wsus(k)**2 )**0.25 * 0.5 * dx |
|---|
| 776 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 777 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 778 | ELSE |
|---|
| 779 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 780 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 781 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 782 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 783 | ENDIF |
|---|
| 784 | |
|---|
| 785 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 786 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 787 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 788 | |
|---|
| 789 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 790 | |
|---|
| 791 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 792 | |
|---|
| 793 | ENDDO |
|---|
| 794 | |
|---|
| 795 | ! |
|---|
| 796 | !-- (4) - will allways be executed. |
|---|
| 797 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 798 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 799 | |
|---|
| 800 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 801 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 802 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 803 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 804 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 805 | |
|---|
| 806 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 807 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 808 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 809 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 810 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 811 | |
|---|
| 812 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 813 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 814 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 815 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 816 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 817 | |
|---|
| 818 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 819 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 820 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 821 | |
|---|
| 822 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 823 | |
|---|
| 824 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 825 | |
|---|
| 826 | ELSE |
|---|
| 827 | |
|---|
| 828 | ! |
|---|
| 829 | !-- Position without adjacent wall |
|---|
| 830 | !-- (1) - will allways be executed. |
|---|
| 831 | !-- 'bottom only: use u_0,v_0' |
|---|
| 832 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 833 | |
|---|
| 834 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 835 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 836 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 837 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 838 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 839 | |
|---|
| 840 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 841 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 842 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 843 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 844 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 845 | |
|---|
| 846 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 847 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 848 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 849 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 850 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 851 | |
|---|
| 852 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 853 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 854 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 855 | |
|---|
| 856 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 857 | |
|---|
| 858 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 859 | |
|---|
| 860 | ENDIF |
|---|
| 861 | |
|---|
| 862 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 863 | |
|---|
| 864 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 865 | |
|---|
| 866 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 867 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 868 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 869 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 870 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 871 | |
|---|
| 872 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 873 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 874 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 875 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 876 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 877 | |
|---|
| 878 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 879 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 880 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 881 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 882 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 883 | |
|---|
| 884 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 885 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 886 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 887 | |
|---|
| 888 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 889 | |
|---|
| 890 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 891 | |
|---|
| 892 | ENDIF |
|---|
| 893 | |
|---|
| 894 | ! |
|---|
| 895 | !-- Calculate TKE production by buoyancy |
|---|
| 896 | IF ( .NOT. humidity ) THEN |
|---|
| 897 | |
|---|
| 898 | IF ( use_reference ) THEN |
|---|
| 899 | |
|---|
| 900 | IF ( ocean ) THEN |
|---|
| 901 | ! |
|---|
| 902 | !-- So far in the ocean no special treatment of density flux in the |
|---|
| 903 | !-- bottom and top surface layer |
|---|
| 904 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 905 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / prho_reference * & |
|---|
| 906 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 907 | ENDDO |
|---|
| 908 | |
|---|
| 909 | ELSE |
|---|
| 910 | |
|---|
| 911 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 912 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt_reference * & |
|---|
| 913 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 914 | ENDDO |
|---|
| 915 | |
|---|
| 916 | IF ( use_surface_fluxes ) THEN |
|---|
| 917 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 918 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 919 | ENDIF |
|---|
| 920 | |
|---|
| 921 | IF ( use_top_fluxes ) THEN |
|---|
| 922 | k = nzt |
|---|
| 923 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
|---|
| 924 | ENDIF |
|---|
| 925 | |
|---|
| 926 | ENDIF |
|---|
| 927 | |
|---|
| 928 | ELSE |
|---|
| 929 | |
|---|
| 930 | IF ( ocean ) THEN |
|---|
| 931 | ! |
|---|
| 932 | !-- So far in the ocean no special treatment of density flux in the |
|---|
| 933 | !-- bottom and top surface layer |
|---|
| 934 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 935 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 936 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 937 | ENDDO |
|---|
| 938 | |
|---|
| 939 | ELSE |
|---|
| 940 | |
|---|
| 941 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 942 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 943 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 944 | ENDDO |
|---|
| 945 | |
|---|
| 946 | IF ( use_surface_fluxes ) THEN |
|---|
| 947 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 948 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 949 | ENDIF |
|---|
| 950 | |
|---|
| 951 | IF ( use_top_fluxes ) THEN |
|---|
| 952 | k = nzt |
|---|
| 953 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 954 | ENDIF |
|---|
| 955 | |
|---|
| 956 | ENDIF |
|---|
| 957 | |
|---|
| 958 | ENDIF |
|---|
| 959 | |
|---|
| 960 | ELSE |
|---|
| 961 | |
|---|
| 962 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 963 | |
|---|
| 964 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 965 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 966 | k2 = 0.61 * pt(k,j,i) |
|---|
| 967 | ELSE |
|---|
| 968 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 969 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 970 | k2 = 0.61 * pt(k,j,i) |
|---|
| 971 | ELSE |
|---|
| 972 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 973 | temp = theta * t_d_pt(k) |
|---|
| 974 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 975 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 976 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 977 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 978 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 979 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 980 | ENDIF |
|---|
| 981 | ENDIF |
|---|
| 982 | |
|---|
| 983 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 984 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 985 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 986 | ) * dd2zu(k) |
|---|
| 987 | ENDDO |
|---|
| 988 | |
|---|
| 989 | IF ( use_surface_fluxes ) THEN |
|---|
| 990 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 991 | |
|---|
| 992 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 993 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 994 | k2 = 0.61 * pt(k,j,i) |
|---|
| 995 | ELSE |
|---|
| 996 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 997 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 998 | k2 = 0.61 * pt(k,j,i) |
|---|
| 999 | ELSE |
|---|
| 1000 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1001 | temp = theta * t_d_pt(k) |
|---|
| 1002 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1003 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1004 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1005 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1006 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1007 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1008 | ENDIF |
|---|
| 1009 | ENDIF |
|---|
| 1010 | |
|---|
| 1011 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1012 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 1013 | ENDIF |
|---|
| 1014 | |
|---|
| 1015 | IF ( use_top_fluxes ) THEN |
|---|
| 1016 | k = nzt |
|---|
| 1017 | |
|---|
| 1018 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 1019 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1020 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1021 | ELSE |
|---|
| 1022 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1023 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1024 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1025 | ELSE |
|---|
| 1026 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1027 | temp = theta * t_d_pt(k) |
|---|
| 1028 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1029 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1030 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1031 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1032 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1033 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1034 | ENDIF |
|---|
| 1035 | ENDIF |
|---|
| 1036 | |
|---|
| 1037 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1038 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 1039 | ENDIF |
|---|
| 1040 | |
|---|
| 1041 | ENDIF |
|---|
| 1042 | |
|---|
| 1043 | END SUBROUTINE production_e_ij |
|---|
| 1044 | |
|---|
| 1045 | |
|---|
| 1046 | SUBROUTINE production_e_init |
|---|
| 1047 | |
|---|
| 1048 | USE arrays_3d |
|---|
| 1049 | USE control_parameters |
|---|
| 1050 | USE grid_variables |
|---|
| 1051 | USE indices |
|---|
| 1052 | |
|---|
| 1053 | IMPLICIT NONE |
|---|
| 1054 | |
|---|
| 1055 | INTEGER :: i, j, ku, kv |
|---|
| 1056 | |
|---|
| 1057 | IF ( prandtl_layer ) THEN |
|---|
| 1058 | |
|---|
| 1059 | IF ( first_call ) THEN |
|---|
| 1060 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
|---|
| 1061 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
|---|
| 1062 | first_call = .FALSE. |
|---|
| 1063 | ENDIF |
|---|
| 1064 | |
|---|
| 1065 | ! |
|---|
| 1066 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 1067 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 1068 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 1069 | !-- production term at k=1 (see production_e_ij). |
|---|
| 1070 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 1071 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 1072 | !-- surface winds). |
|---|
| 1073 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
|---|
| 1074 | !-- not available in case of non-cyclic boundary conditions. |
|---|
| 1075 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 1076 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 1077 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
|---|
| 1078 | DO i = nxl, nxr+1 |
|---|
| 1079 | DO j = nys, nyn+1 |
|---|
| 1080 | |
|---|
| 1081 | ku = nzb_u_inner(j,i)+1 |
|---|
| 1082 | kv = nzb_v_inner(j,i)+1 |
|---|
| 1083 | |
|---|
| 1084 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
|---|
| 1085 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
|---|
| 1086 | 1.0E-20 ) |
|---|
| 1087 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1088 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
|---|
| 1089 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
|---|
| 1090 | 1.0E-20 ) |
|---|
| 1091 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1092 | |
|---|
| 1093 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
|---|
| 1094 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
|---|
| 1095 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
|---|
| 1096 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
|---|
| 1097 | |
|---|
| 1098 | ENDDO |
|---|
| 1099 | ENDDO |
|---|
| 1100 | |
|---|
| 1101 | CALL exchange_horiz_2d( u_0 ) |
|---|
| 1102 | CALL exchange_horiz_2d( v_0 ) |
|---|
| 1103 | |
|---|
| 1104 | ENDIF |
|---|
| 1105 | |
|---|
| 1106 | END SUBROUTINE production_e_init |
|---|
| 1107 | |
|---|
| 1108 | END MODULE production_e_mod |
|---|
