| [1] | 1 | MODULE production_e_mod |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! Actual revisions: |
|---|
| 5 | ! ----------------- |
|---|
| [53] | 6 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes |
|---|
| [39] | 7 | ! |
|---|
| 8 | ! Former revisions: |
|---|
| 9 | ! ----------------- |
|---|
| 10 | ! $Id: production_e.f90 55 2007-03-08 04:12:41Z raasch $ |
|---|
| 11 | ! |
|---|
| 12 | ! 37 2007-03-01 08:33:54Z raasch |
|---|
| [19] | 13 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
|---|
| [37] | 14 | ! humidity fluxes at the top, wall-part is now executed in case that a |
|---|
| 15 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
|---|
| [1] | 16 | ! |
|---|
| [3] | 17 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 18 | ! |
|---|
| [1] | 19 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
|---|
| 20 | ! OpenMP parallelization of production_e_init |
|---|
| 21 | ! |
|---|
| 22 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
|---|
| 23 | ! Initial revision |
|---|
| 24 | ! |
|---|
| 25 | ! |
|---|
| 26 | ! Description: |
|---|
| 27 | ! ------------ |
|---|
| 28 | ! Production terms (shear + buoyancy) of the TKE |
|---|
| [37] | 29 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
|---|
| 30 | ! not considered well! |
|---|
| [1] | 31 | !------------------------------------------------------------------------------! |
|---|
| 32 | |
|---|
| 33 | PRIVATE |
|---|
| 34 | PUBLIC production_e, production_e_init |
|---|
| 35 | |
|---|
| 36 | LOGICAL, SAVE :: first_call = .TRUE. |
|---|
| 37 | |
|---|
| 38 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
|---|
| 39 | |
|---|
| 40 | INTERFACE production_e |
|---|
| 41 | MODULE PROCEDURE production_e |
|---|
| 42 | MODULE PROCEDURE production_e_ij |
|---|
| 43 | END INTERFACE production_e |
|---|
| 44 | |
|---|
| 45 | INTERFACE production_e_init |
|---|
| 46 | MODULE PROCEDURE production_e_init |
|---|
| 47 | END INTERFACE production_e_init |
|---|
| 48 | |
|---|
| 49 | CONTAINS |
|---|
| 50 | |
|---|
| 51 | |
|---|
| 52 | !------------------------------------------------------------------------------! |
|---|
| 53 | ! Call for all grid points |
|---|
| 54 | !------------------------------------------------------------------------------! |
|---|
| 55 | SUBROUTINE production_e |
|---|
| 56 | |
|---|
| 57 | USE arrays_3d |
|---|
| 58 | USE cloud_parameters |
|---|
| 59 | USE control_parameters |
|---|
| 60 | USE grid_variables |
|---|
| 61 | USE indices |
|---|
| 62 | USE statistics |
|---|
| 63 | |
|---|
| 64 | IMPLICIT NONE |
|---|
| 65 | |
|---|
| 66 | INTEGER :: i, j, k |
|---|
| 67 | |
|---|
| 68 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| [53] | 69 | k1, k2, theta, temp |
|---|
| [1] | 70 | |
|---|
| [53] | 71 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
|---|
| [1] | 72 | |
|---|
| [53] | 73 | |
|---|
| [1] | 74 | ! |
|---|
| 75 | !-- Calculate TKE production by shear |
|---|
| 76 | DO i = nxl, nxr |
|---|
| 77 | |
|---|
| 78 | DO j = nys, nyn |
|---|
| [19] | 79 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| [1] | 80 | |
|---|
| 81 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 82 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 83 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 84 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 85 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 86 | |
|---|
| 87 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 88 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 89 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 90 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 91 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 92 | |
|---|
| 93 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 94 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 95 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 96 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 97 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 98 | |
|---|
| 99 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 100 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 101 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 102 | |
|---|
| 103 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 104 | |
|---|
| 105 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 106 | |
|---|
| 107 | ENDDO |
|---|
| 108 | ENDDO |
|---|
| 109 | |
|---|
| [37] | 110 | IF ( prandtl_layer ) THEN |
|---|
| [1] | 111 | |
|---|
| 112 | ! |
|---|
| [55] | 113 | !-- Position beneath wall |
|---|
| 114 | !-- (2) - Will allways be executed. |
|---|
| 115 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| [1] | 116 | DO j = nys, nyn |
|---|
| 117 | |
|---|
| 118 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 119 | THEN |
|---|
| 120 | |
|---|
| 121 | k = nzb_diff_s_inner(j,i) - 1 |
|---|
| 122 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| [53] | 123 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 124 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 125 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 126 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 127 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 128 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 129 | |
|---|
| [1] | 130 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| [53] | 131 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 132 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 133 | |
|---|
| 134 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 135 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 136 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 137 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| [1] | 138 | ELSE |
|---|
| 139 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 140 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| [53] | 141 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 142 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| [1] | 143 | ENDIF |
|---|
| 144 | |
|---|
| 145 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| [53] | 146 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 147 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 148 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 149 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 150 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 151 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| [1] | 152 | ELSE |
|---|
| 153 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 154 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 155 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 156 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 157 | ENDIF |
|---|
| 158 | |
|---|
| 159 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 160 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 161 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 162 | |
|---|
| 163 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 164 | |
|---|
| 165 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 166 | |
|---|
| 167 | |
|---|
| 168 | ! |
|---|
| [55] | 169 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 170 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 171 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 172 | !-- already been calculated for (2). |
|---|
| 173 | !-- 'wall only: use wall functions' |
|---|
| [1] | 174 | |
|---|
| 175 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 176 | |
|---|
| 177 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| [53] | 178 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 179 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 180 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 181 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 182 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 183 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 184 | |
|---|
| [1] | 185 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| [53] | 186 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 187 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| [1] | 188 | ELSE |
|---|
| 189 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 190 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| [53] | 191 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 192 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| [1] | 193 | ENDIF |
|---|
| 194 | |
|---|
| 195 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| [53] | 196 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 197 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| [1] | 198 | ELSE |
|---|
| 199 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 200 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 201 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 202 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 203 | ENDIF |
|---|
| 204 | |
|---|
| 205 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 206 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 207 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 208 | |
|---|
| 209 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 210 | |
|---|
| 211 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 212 | |
|---|
| 213 | ENDDO |
|---|
| 214 | |
|---|
| 215 | ENDIF |
|---|
| 216 | |
|---|
| 217 | ENDDO |
|---|
| 218 | |
|---|
| 219 | ! |
|---|
| [55] | 220 | !-- (4) - will allways be executed. |
|---|
| 221 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| [1] | 222 | DO j = nys, nyn |
|---|
| 223 | |
|---|
| 224 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 225 | THEN |
|---|
| 226 | |
|---|
| 227 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 228 | |
|---|
| 229 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 230 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 231 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 232 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 233 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 234 | |
|---|
| 235 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 236 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 237 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 238 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 239 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 240 | |
|---|
| 241 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 242 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 243 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 244 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 245 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 246 | |
|---|
| 247 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 248 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 249 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 250 | |
|---|
| 251 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 252 | |
|---|
| 253 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 254 | |
|---|
| 255 | ENDIF |
|---|
| 256 | |
|---|
| 257 | ENDDO |
|---|
| 258 | |
|---|
| 259 | ! |
|---|
| [55] | 260 | !-- Position without adjacent wall |
|---|
| 261 | !-- (1) - will allways be executed. |
|---|
| 262 | !-- 'bottom only: use u_0,v_0' |
|---|
| [1] | 263 | DO j = nys, nyn |
|---|
| 264 | |
|---|
| 265 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
|---|
| 266 | THEN |
|---|
| 267 | |
|---|
| 268 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 269 | |
|---|
| 270 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 271 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 272 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 273 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 274 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 275 | |
|---|
| 276 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 277 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 278 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 279 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 280 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 281 | |
|---|
| 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 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 285 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 286 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 287 | |
|---|
| 288 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 289 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 290 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 291 | |
|---|
| 292 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 293 | |
|---|
| 294 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 295 | |
|---|
| 296 | ENDIF |
|---|
| 297 | |
|---|
| 298 | ENDDO |
|---|
| 299 | |
|---|
| [37] | 300 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 301 | |
|---|
| 302 | DO j = nys, nyn |
|---|
| 303 | |
|---|
| 304 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 305 | |
|---|
| 306 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 307 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 308 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 309 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 310 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 311 | |
|---|
| 312 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 313 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 314 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 315 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 316 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 317 | |
|---|
| 318 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 319 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 320 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 321 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 322 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 323 | |
|---|
| 324 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 325 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 326 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 327 | |
|---|
| 328 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 329 | |
|---|
| 330 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 331 | |
|---|
| 332 | ENDDO |
|---|
| 333 | |
|---|
| [1] | 334 | ENDIF |
|---|
| 335 | |
|---|
| 336 | ! |
|---|
| 337 | !-- Calculate TKE production by buoyancy |
|---|
| 338 | IF ( .NOT. moisture ) THEN |
|---|
| 339 | |
|---|
| 340 | DO j = nys, nyn |
|---|
| 341 | |
|---|
| [19] | 342 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| [1] | 343 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 344 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 345 | ENDDO |
|---|
| [19] | 346 | |
|---|
| [1] | 347 | IF ( use_surface_fluxes ) THEN |
|---|
| 348 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 349 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 350 | ENDIF |
|---|
| 351 | |
|---|
| [19] | 352 | IF ( use_top_fluxes ) THEN |
|---|
| 353 | k = nzt |
|---|
| 354 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 355 | ENDIF |
|---|
| 356 | |
|---|
| [1] | 357 | ENDDO |
|---|
| 358 | |
|---|
| 359 | ELSE |
|---|
| 360 | |
|---|
| 361 | DO j = nys, nyn |
|---|
| 362 | |
|---|
| [19] | 363 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| [1] | 364 | |
|---|
| 365 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 366 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 367 | k2 = 0.61 * pt(k,j,i) |
|---|
| 368 | ELSE |
|---|
| 369 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 370 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 371 | k2 = 0.61 * pt(k,j,i) |
|---|
| 372 | ELSE |
|---|
| 373 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 374 | temp = theta * t_d_pt(k) |
|---|
| 375 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 376 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 377 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 378 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 379 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 380 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 381 | ENDIF |
|---|
| 382 | ENDIF |
|---|
| 383 | |
|---|
| 384 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 385 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 386 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 387 | ) * dd2zu(k) |
|---|
| 388 | ENDDO |
|---|
| 389 | |
|---|
| 390 | ENDDO |
|---|
| 391 | |
|---|
| 392 | IF ( use_surface_fluxes ) THEN |
|---|
| 393 | |
|---|
| 394 | DO j = nys, nyn |
|---|
| 395 | |
|---|
| [53] | 396 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| [1] | 397 | |
|---|
| 398 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 399 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 400 | k2 = 0.61 * pt(k,j,i) |
|---|
| 401 | ELSE |
|---|
| 402 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 403 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 404 | k2 = 0.61 * pt(k,j,i) |
|---|
| 405 | ELSE |
|---|
| 406 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 407 | temp = theta * t_d_pt(k) |
|---|
| 408 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 409 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 410 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 411 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 412 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 413 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 414 | ENDIF |
|---|
| 415 | ENDIF |
|---|
| 416 | |
|---|
| 417 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 418 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 419 | ENDDO |
|---|
| 420 | |
|---|
| 421 | ENDIF |
|---|
| 422 | |
|---|
| [19] | 423 | IF ( use_top_fluxes ) THEN |
|---|
| 424 | |
|---|
| 425 | DO j = nys, nyn |
|---|
| 426 | |
|---|
| 427 | k = nzt |
|---|
| 428 | |
|---|
| 429 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 430 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 431 | k2 = 0.61 * pt(k,j,i) |
|---|
| 432 | ELSE |
|---|
| 433 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 434 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 435 | k2 = 0.61 * pt(k,j,i) |
|---|
| 436 | ELSE |
|---|
| 437 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 438 | temp = theta * t_d_pt(k) |
|---|
| 439 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 440 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 441 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 442 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 443 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 444 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 445 | ENDIF |
|---|
| 446 | ENDIF |
|---|
| 447 | |
|---|
| 448 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 449 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 450 | ENDDO |
|---|
| 451 | |
|---|
| 452 | ENDIF |
|---|
| 453 | |
|---|
| [1] | 454 | ENDIF |
|---|
| 455 | |
|---|
| 456 | ENDDO |
|---|
| 457 | |
|---|
| 458 | END SUBROUTINE production_e |
|---|
| 459 | |
|---|
| 460 | |
|---|
| 461 | !------------------------------------------------------------------------------! |
|---|
| 462 | ! Call for grid point i,j |
|---|
| 463 | !------------------------------------------------------------------------------! |
|---|
| 464 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 465 | |
|---|
| 466 | USE arrays_3d |
|---|
| 467 | USE cloud_parameters |
|---|
| 468 | USE control_parameters |
|---|
| 469 | USE grid_variables |
|---|
| 470 | USE indices |
|---|
| 471 | USE statistics |
|---|
| 472 | |
|---|
| 473 | IMPLICIT NONE |
|---|
| 474 | |
|---|
| 475 | INTEGER :: i, j, k |
|---|
| 476 | |
|---|
| 477 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| [53] | 478 | k1, k2, theta, temp |
|---|
| [1] | 479 | |
|---|
| [53] | 480 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus,wsvs |
|---|
| 481 | |
|---|
| [1] | 482 | ! |
|---|
| 483 | !-- Calculate TKE production by shear |
|---|
| [19] | 484 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| [1] | 485 | |
|---|
| 486 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 487 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 488 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 489 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 490 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 491 | |
|---|
| 492 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 493 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 494 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 495 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 496 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 497 | |
|---|
| 498 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 499 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 500 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 501 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 502 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 503 | |
|---|
| 504 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 505 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 506 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 507 | |
|---|
| 508 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 509 | |
|---|
| 510 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 511 | |
|---|
| 512 | ENDDO |
|---|
| 513 | |
|---|
| [37] | 514 | IF ( prandtl_layer ) THEN |
|---|
| [1] | 515 | |
|---|
| 516 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
|---|
| [55] | 517 | |
|---|
| [1] | 518 | ! |
|---|
| [55] | 519 | !-- Position beneath wall |
|---|
| 520 | !-- (2) - Will allways be executed. |
|---|
| 521 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| [1] | 522 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 523 | |
|---|
| 524 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| [53] | 525 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 526 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 527 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 528 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 529 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 530 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 531 | |
|---|
| [1] | 532 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| [53] | 533 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 534 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 535 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 536 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 537 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 538 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| [1] | 539 | ELSE |
|---|
| 540 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 541 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| [53] | 542 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 543 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| [1] | 544 | ENDIF |
|---|
| 545 | |
|---|
| 546 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| [53] | 547 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 548 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 549 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 550 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 551 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 552 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| [1] | 553 | ELSE |
|---|
| 554 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 555 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 556 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 557 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 558 | ENDIF |
|---|
| 559 | |
|---|
| 560 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 561 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 562 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 563 | |
|---|
| 564 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 565 | |
|---|
| 566 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 567 | |
|---|
| 568 | ! |
|---|
| [55] | 569 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 570 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 571 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 572 | !-- already been calculated for (2). |
|---|
| 573 | !-- 'wall only: use wall functions' |
|---|
| [1] | 574 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 575 | |
|---|
| 576 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| [53] | 577 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 578 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 579 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 580 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 581 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 582 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 583 | |
|---|
| [1] | 584 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| [53] | 585 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 586 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| [1] | 587 | ELSE |
|---|
| 588 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 589 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| [53] | 590 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 591 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| [1] | 592 | ENDIF |
|---|
| 593 | |
|---|
| 594 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| [53] | 595 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 596 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| [1] | 597 | ELSE |
|---|
| 598 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 599 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 600 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 601 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 602 | ENDIF |
|---|
| 603 | |
|---|
| 604 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 605 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 606 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 607 | |
|---|
| 608 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 609 | |
|---|
| 610 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 611 | |
|---|
| 612 | ENDDO |
|---|
| 613 | |
|---|
| 614 | ! |
|---|
| [55] | 615 | !-- (4) - will allways be executed. |
|---|
| 616 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| [1] | 617 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 618 | |
|---|
| 619 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 620 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 621 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 622 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 623 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 624 | |
|---|
| 625 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 626 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 627 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 628 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 629 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 630 | |
|---|
| 631 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 632 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 633 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 634 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 635 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 636 | |
|---|
| 637 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 638 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 639 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 640 | |
|---|
| 641 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 642 | |
|---|
| 643 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 644 | |
|---|
| 645 | ELSE |
|---|
| 646 | |
|---|
| 647 | ! |
|---|
| [55] | 648 | !-- Position without adjacent wall |
|---|
| 649 | !-- (1) - will allways be executed. |
|---|
| 650 | !-- 'bottom only: use u_0,v_0' |
|---|
| [1] | 651 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 652 | |
|---|
| 653 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 654 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 655 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 656 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 657 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 658 | |
|---|
| 659 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 660 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 661 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 662 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 663 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 664 | |
|---|
| 665 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 666 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 667 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 668 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 669 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 670 | |
|---|
| 671 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 672 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 673 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 674 | |
|---|
| 675 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 676 | |
|---|
| 677 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 678 | |
|---|
| 679 | ENDIF |
|---|
| 680 | |
|---|
| [37] | 681 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 682 | |
|---|
| 683 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 684 | |
|---|
| 685 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 686 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 687 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 688 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 689 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 690 | |
|---|
| 691 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 692 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 693 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 694 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 695 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 696 | |
|---|
| 697 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 698 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 699 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 700 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 701 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 702 | |
|---|
| 703 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 704 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 705 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 706 | |
|---|
| 707 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 708 | |
|---|
| 709 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 710 | |
|---|
| [1] | 711 | ENDIF |
|---|
| 712 | |
|---|
| 713 | ! |
|---|
| 714 | !-- Calculate TKE production by buoyancy |
|---|
| 715 | IF ( .NOT. moisture ) THEN |
|---|
| 716 | |
|---|
| [19] | 717 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| [1] | 718 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 719 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 720 | ENDDO |
|---|
| [19] | 721 | |
|---|
| [1] | 722 | IF ( use_surface_fluxes ) THEN |
|---|
| 723 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 724 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 725 | ENDIF |
|---|
| 726 | |
|---|
| [19] | 727 | IF ( use_top_fluxes ) THEN |
|---|
| 728 | k = nzt |
|---|
| 729 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 730 | ENDIF |
|---|
| 731 | |
|---|
| [1] | 732 | ELSE |
|---|
| 733 | |
|---|
| [19] | 734 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| [1] | 735 | |
|---|
| 736 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 737 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 738 | k2 = 0.61 * pt(k,j,i) |
|---|
| 739 | ELSE |
|---|
| 740 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 741 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 742 | k2 = 0.61 * pt(k,j,i) |
|---|
| 743 | ELSE |
|---|
| 744 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 745 | temp = theta * t_d_pt(k) |
|---|
| 746 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 747 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 748 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 749 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 750 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 751 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 752 | ENDIF |
|---|
| 753 | ENDIF |
|---|
| 754 | |
|---|
| 755 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 756 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 757 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 758 | ) * dd2zu(k) |
|---|
| 759 | ENDDO |
|---|
| [19] | 760 | |
|---|
| [1] | 761 | IF ( use_surface_fluxes ) THEN |
|---|
| 762 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 763 | |
|---|
| 764 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 765 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 766 | k2 = 0.61 * pt(k,j,i) |
|---|
| 767 | ELSE |
|---|
| 768 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 769 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 770 | k2 = 0.61 * pt(k,j,i) |
|---|
| 771 | ELSE |
|---|
| 772 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 773 | temp = theta * t_d_pt(k) |
|---|
| 774 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 775 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 776 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 777 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 778 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 779 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 780 | ENDIF |
|---|
| 781 | ENDIF |
|---|
| 782 | |
|---|
| 783 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 784 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 785 | ENDIF |
|---|
| 786 | |
|---|
| [19] | 787 | IF ( use_top_fluxes ) THEN |
|---|
| 788 | k = nzt |
|---|
| 789 | |
|---|
| 790 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 791 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 792 | k2 = 0.61 * pt(k,j,i) |
|---|
| 793 | ELSE |
|---|
| 794 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 795 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 796 | k2 = 0.61 * pt(k,j,i) |
|---|
| 797 | ELSE |
|---|
| 798 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 799 | temp = theta * t_d_pt(k) |
|---|
| 800 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 801 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 802 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 803 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 804 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 805 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 806 | ENDIF |
|---|
| 807 | ENDIF |
|---|
| 808 | |
|---|
| 809 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 810 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 811 | ENDIF |
|---|
| 812 | |
|---|
| [1] | 813 | ENDIF |
|---|
| 814 | |
|---|
| 815 | END SUBROUTINE production_e_ij |
|---|
| 816 | |
|---|
| 817 | |
|---|
| 818 | SUBROUTINE production_e_init |
|---|
| 819 | |
|---|
| 820 | USE arrays_3d |
|---|
| 821 | USE control_parameters |
|---|
| 822 | USE grid_variables |
|---|
| 823 | USE indices |
|---|
| 824 | |
|---|
| 825 | IMPLICIT NONE |
|---|
| 826 | |
|---|
| 827 | INTEGER :: i, j, ku, kv |
|---|
| 828 | |
|---|
| [37] | 829 | IF ( prandtl_layer ) THEN |
|---|
| [1] | 830 | |
|---|
| 831 | IF ( first_call ) THEN |
|---|
| 832 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
|---|
| 833 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
|---|
| 834 | first_call = .FALSE. |
|---|
| 835 | ENDIF |
|---|
| 836 | |
|---|
| 837 | ! |
|---|
| 838 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 839 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 840 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 841 | !-- production term at k=1 (see production_e_ij). |
|---|
| 842 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 843 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 844 | !-- surface winds). |
|---|
| 845 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 846 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 847 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
|---|
| 848 | DO i = nxl, nxr |
|---|
| 849 | DO j = nys, nyn |
|---|
| 850 | |
|---|
| 851 | ku = nzb_u_inner(j,i)+1 |
|---|
| 852 | kv = nzb_v_inner(j,i)+1 |
|---|
| 853 | |
|---|
| 854 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
|---|
| 855 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
|---|
| 856 | 1.0E-20 ) |
|---|
| 857 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 858 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
|---|
| 859 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
|---|
| 860 | 1.0E-20 ) |
|---|
| 861 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 862 | |
|---|
| 863 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
|---|
| 864 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
|---|
| 865 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
|---|
| 866 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
|---|
| 867 | |
|---|
| 868 | ENDDO |
|---|
| 869 | ENDDO |
|---|
| 870 | |
|---|
| 871 | CALL exchange_horiz_2d( u_0 ) |
|---|
| 872 | CALL exchange_horiz_2d( v_0 ) |
|---|
| 873 | |
|---|
| 874 | ENDIF |
|---|
| 875 | |
|---|
| 876 | END SUBROUTINE production_e_init |
|---|
| 877 | |
|---|
| 878 | END MODULE production_e_mod |
|---|
