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