[1] | 1 | MODULE production_e_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual revisions: |
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| 5 | ! ----------------- |
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[53] | 6 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes |
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[39] | 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: production_e.f90 53 2007-03-07 12:33:47Z raasch $ |
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| 11 | ! |
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| 12 | ! 37 2007-03-01 08:33:54Z raasch |
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[19] | 13 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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[37] | 14 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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| 15 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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[1] | 16 | ! |
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[3] | 17 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 18 | ! |
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[1] | 19 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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| 20 | ! OpenMP parallelization of production_e_init |
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| 21 | ! |
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| 22 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 23 | ! Initial revision |
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| 24 | ! |
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| 25 | ! |
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| 26 | ! Description: |
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| 27 | ! ------------ |
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| 28 | ! Production terms (shear + buoyancy) of the TKE |
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[37] | 29 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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| 30 | ! not considered well! |
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[1] | 31 | !------------------------------------------------------------------------------! |
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| 32 | |
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| 33 | PRIVATE |
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| 34 | PUBLIC production_e, production_e_init |
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| 35 | |
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| 36 | LOGICAL, SAVE :: first_call = .TRUE. |
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| 37 | |
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| 38 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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| 39 | |
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| 40 | INTERFACE production_e |
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| 41 | MODULE PROCEDURE production_e |
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| 42 | MODULE PROCEDURE production_e_ij |
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| 43 | END INTERFACE production_e |
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| 44 | |
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| 45 | INTERFACE production_e_init |
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| 46 | MODULE PROCEDURE production_e_init |
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| 47 | END INTERFACE production_e_init |
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| 48 | |
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| 49 | CONTAINS |
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| 50 | |
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| 51 | |
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| 52 | !------------------------------------------------------------------------------! |
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| 53 | ! Call for all grid points |
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| 54 | !------------------------------------------------------------------------------! |
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| 55 | SUBROUTINE production_e |
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| 56 | |
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| 57 | USE arrays_3d |
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| 58 | USE cloud_parameters |
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| 59 | USE control_parameters |
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| 60 | USE grid_variables |
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| 61 | USE indices |
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| 62 | USE statistics |
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| 63 | |
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| 64 | IMPLICIT NONE |
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| 65 | |
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| 66 | INTEGER :: i, j, k |
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| 67 | |
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| 68 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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[53] | 69 | k1, k2, theta, temp |
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[1] | 70 | |
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[53] | 71 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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[1] | 72 | |
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[53] | 73 | |
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[1] | 74 | ! |
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| 75 | !-- Calculate TKE production by shear |
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| 76 | DO i = nxl, nxr |
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| 77 | |
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| 78 | DO j = nys, nyn |
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[19] | 79 | DO k = nzb_diff_s_outer(j,i), nzt |
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[1] | 80 | |
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| 81 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 82 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 83 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 84 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 85 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 86 | |
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| 87 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 88 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 89 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 90 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 91 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 92 | |
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| 93 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 94 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 95 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 96 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 97 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 98 | |
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| 99 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 100 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 101 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 102 | |
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| 103 | IF ( def < 0.0 ) def = 0.0 |
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| 104 | |
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| 105 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 106 | |
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| 107 | ENDDO |
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| 108 | ENDDO |
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| 109 | |
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[37] | 110 | IF ( prandtl_layer ) THEN |
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[1] | 111 | |
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| 112 | ! |
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| 113 | !-- Position neben Gebaeudewand |
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| 114 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
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| 115 | !-- u_0,v_0 und Wall functions' |
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| 116 | DO j = nys, nyn |
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| 117 | |
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| 118 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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| 119 | THEN |
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| 120 | |
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| 121 | k = nzb_diff_s_inner(j,i) - 1 |
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| 122 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[53] | 123 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 124 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 125 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 126 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 127 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 128 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 129 | |
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[1] | 130 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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[53] | 131 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 132 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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| 133 | |
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| 134 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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| 135 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 136 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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| 137 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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[1] | 138 | ELSE |
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| 139 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 140 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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[53] | 141 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 142 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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[1] | 143 | ENDIF |
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| 144 | |
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| 145 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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[53] | 146 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 147 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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| 148 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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| 149 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 150 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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| 151 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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[1] | 152 | ELSE |
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| 153 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 154 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 155 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 156 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 157 | ENDIF |
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| 158 | |
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| 159 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 160 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 161 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 162 | |
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| 163 | IF ( def < 0.0 ) def = 0.0 |
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| 164 | |
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| 165 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 166 | |
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| 167 | |
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| 168 | ! |
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[53] | 169 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
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| 170 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
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| 171 | !-- hoehe von 2 dz. Die Wall fluxes sind in diesem Fall |
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| 172 | !-- schon unter (2) berechnet worden. 'Nur Wand: Wall functions' |
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[1] | 173 | |
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| 174 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 175 | |
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| 176 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[53] | 177 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 178 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 179 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 180 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 181 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 182 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 183 | |
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[1] | 184 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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[53] | 185 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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| 186 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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[1] | 187 | ELSE |
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| 188 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 189 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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[53] | 190 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 191 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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[1] | 192 | ENDIF |
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| 193 | |
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| 194 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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[53] | 195 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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| 196 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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[1] | 197 | ELSE |
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| 198 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 199 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 200 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 201 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 202 | ENDIF |
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| 203 | |
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| 204 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 205 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 206 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 207 | |
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| 208 | IF ( def < 0.0 ) def = 0.0 |
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| 209 | |
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| 210 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 211 | |
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| 212 | ENDDO |
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| 213 | |
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| 214 | ENDIF |
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| 215 | |
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| 216 | ENDDO |
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| 217 | |
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| 218 | ! |
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| 219 | !-- 4 - Wird immer ausgefuehrt. |
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| 220 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
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| 221 | DO j = nys, nyn |
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| 222 | |
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| 223 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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| 224 | THEN |
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| 225 | |
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| 226 | k = nzb_diff_s_outer(j,i)-1 |
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| 227 | |
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| 228 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 229 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 230 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 231 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 232 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 233 | |
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| 234 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 235 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 236 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 237 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 238 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 239 | |
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| 240 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 241 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 242 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 243 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 244 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 245 | |
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| 246 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 247 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 248 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 249 | |
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| 250 | IF ( def < 0.0 ) def = 0.0 |
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| 251 | |
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| 252 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 253 | |
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| 254 | ENDIF |
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| 255 | |
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| 256 | ENDDO |
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| 257 | |
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| 258 | ! |
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| 259 | !-- Position ohne angrenzende Gebaeudewand |
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| 260 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
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| 261 | DO j = nys, nyn |
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| 262 | |
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| 263 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
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| 264 | THEN |
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| 265 | |
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| 266 | k = nzb_diff_s_inner(j,i)-1 |
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| 267 | |
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| 268 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 269 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 270 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 271 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 272 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 273 | |
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| 274 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 275 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 276 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 277 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 278 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 279 | |
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| 280 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 281 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 282 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 283 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 284 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 285 | |
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| 286 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 287 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 288 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 289 | |
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| 290 | IF ( def < 0.0 ) def = 0.0 |
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| 291 | |
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| 292 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 293 | |
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| 294 | ENDIF |
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| 295 | |
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| 296 | ENDDO |
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| 297 | |
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[37] | 298 | ELSEIF ( use_surface_fluxes ) THEN |
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| 299 | |
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| 300 | DO j = nys, nyn |
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| 301 | |
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| 302 | k = nzb_diff_s_outer(j,i)-1 |
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| 303 | |
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| 304 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 305 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 306 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 307 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 308 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 309 | |
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| 310 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 311 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 312 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 313 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 314 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 315 | |
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| 316 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 317 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 318 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 319 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 320 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 321 | |
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| 322 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 323 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 324 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 325 | |
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| 326 | IF ( def < 0.0 ) def = 0.0 |
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| 327 | |
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| 328 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 329 | |
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| 330 | ENDDO |
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| 331 | |
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[1] | 332 | ENDIF |
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| 333 | |
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| 334 | ! |
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| 335 | !-- Calculate TKE production by buoyancy |
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| 336 | IF ( .NOT. moisture ) THEN |
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| 337 | |
---|
| 338 | DO j = nys, nyn |
---|
| 339 | |
---|
[19] | 340 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 341 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 342 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 343 | ENDDO |
---|
[19] | 344 | |
---|
[1] | 345 | IF ( use_surface_fluxes ) THEN |
---|
| 346 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 347 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
| 348 | ENDIF |
---|
| 349 | |
---|
[19] | 350 | IF ( use_top_fluxes ) THEN |
---|
| 351 | k = nzt |
---|
| 352 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
| 353 | ENDIF |
---|
| 354 | |
---|
[1] | 355 | ENDDO |
---|
| 356 | |
---|
| 357 | ELSE |
---|
| 358 | |
---|
| 359 | DO j = nys, nyn |
---|
| 360 | |
---|
[19] | 361 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 362 | |
---|
| 363 | IF ( .NOT. cloud_physics ) THEN |
---|
| 364 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 365 | k2 = 0.61 * pt(k,j,i) |
---|
| 366 | ELSE |
---|
| 367 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 368 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 369 | k2 = 0.61 * pt(k,j,i) |
---|
| 370 | ELSE |
---|
| 371 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 372 | temp = theta * t_d_pt(k) |
---|
| 373 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 374 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 375 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 376 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 377 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 378 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 379 | ENDIF |
---|
| 380 | ENDIF |
---|
| 381 | |
---|
| 382 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 383 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 384 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 385 | ) * dd2zu(k) |
---|
| 386 | ENDDO |
---|
| 387 | |
---|
| 388 | ENDDO |
---|
| 389 | |
---|
| 390 | IF ( use_surface_fluxes ) THEN |
---|
| 391 | |
---|
| 392 | DO j = nys, nyn |
---|
| 393 | |
---|
[53] | 394 | k = nzb_diff_s_inner(j,i)-1 |
---|
[1] | 395 | |
---|
| 396 | IF ( .NOT. cloud_physics ) THEN |
---|
| 397 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 398 | k2 = 0.61 * pt(k,j,i) |
---|
| 399 | ELSE |
---|
| 400 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 401 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 402 | k2 = 0.61 * pt(k,j,i) |
---|
| 403 | ELSE |
---|
| 404 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 405 | temp = theta * t_d_pt(k) |
---|
| 406 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 407 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 408 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 409 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 410 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 411 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 412 | ENDIF |
---|
| 413 | ENDIF |
---|
| 414 | |
---|
| 415 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 416 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
| 417 | ENDDO |
---|
| 418 | |
---|
| 419 | ENDIF |
---|
| 420 | |
---|
[19] | 421 | IF ( use_top_fluxes ) THEN |
---|
| 422 | |
---|
| 423 | DO j = nys, nyn |
---|
| 424 | |
---|
| 425 | k = nzt |
---|
| 426 | |
---|
| 427 | IF ( .NOT. cloud_physics ) THEN |
---|
| 428 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 429 | k2 = 0.61 * pt(k,j,i) |
---|
| 430 | ELSE |
---|
| 431 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 432 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 433 | k2 = 0.61 * pt(k,j,i) |
---|
| 434 | ELSE |
---|
| 435 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 436 | temp = theta * t_d_pt(k) |
---|
| 437 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 438 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 439 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 440 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 441 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 442 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 443 | ENDIF |
---|
| 444 | ENDIF |
---|
| 445 | |
---|
| 446 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 447 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
| 448 | ENDDO |
---|
| 449 | |
---|
| 450 | ENDIF |
---|
| 451 | |
---|
[1] | 452 | ENDIF |
---|
| 453 | |
---|
| 454 | ENDDO |
---|
| 455 | |
---|
| 456 | END SUBROUTINE production_e |
---|
| 457 | |
---|
| 458 | |
---|
| 459 | !------------------------------------------------------------------------------! |
---|
| 460 | ! Call for grid point i,j |
---|
| 461 | !------------------------------------------------------------------------------! |
---|
| 462 | SUBROUTINE production_e_ij( i, j ) |
---|
| 463 | |
---|
| 464 | USE arrays_3d |
---|
| 465 | USE cloud_parameters |
---|
| 466 | USE control_parameters |
---|
| 467 | USE grid_variables |
---|
| 468 | USE indices |
---|
| 469 | USE statistics |
---|
| 470 | |
---|
| 471 | IMPLICIT NONE |
---|
| 472 | |
---|
| 473 | INTEGER :: i, j, k |
---|
| 474 | |
---|
| 475 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
[53] | 476 | k1, k2, theta, temp |
---|
[1] | 477 | |
---|
[53] | 478 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus,wsvs |
---|
| 479 | |
---|
[1] | 480 | ! |
---|
| 481 | !-- Calculate TKE production by shear |
---|
[19] | 482 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
[1] | 483 | |
---|
| 484 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 485 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 486 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 487 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 488 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 489 | |
---|
| 490 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 491 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 492 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 493 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 494 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
| 495 | |
---|
| 496 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 497 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 498 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 499 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 500 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 501 | |
---|
| 502 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
| 503 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
| 504 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 505 | |
---|
| 506 | IF ( def < 0.0 ) def = 0.0 |
---|
| 507 | |
---|
| 508 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 509 | |
---|
| 510 | ENDDO |
---|
| 511 | |
---|
[37] | 512 | IF ( prandtl_layer ) THEN |
---|
[1] | 513 | |
---|
| 514 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
| 515 | ! |
---|
| 516 | !-- Position neben Gebaeudewand |
---|
| 517 | !-- 2 - Wird immer ausgefuehrt. 'Boden und Wand: |
---|
| 518 | !-- u_0,v_0 und Wall functions' |
---|
| 519 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 520 | |
---|
| 521 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[53] | 522 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 523 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
| 524 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 525 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 526 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
| 527 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 528 | |
---|
[1] | 529 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
[53] | 530 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
| 531 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
| 532 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
---|
| 533 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
| 534 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
| 535 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
---|
[1] | 536 | ELSE |
---|
| 537 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 538 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
[53] | 539 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 540 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 541 | ENDIF |
---|
| 542 | |
---|
| 543 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
[53] | 544 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
| 545 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
| 546 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
---|
| 547 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
| 548 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
| 549 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
---|
[1] | 550 | ELSE |
---|
| 551 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 552 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 553 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 554 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 555 | ENDIF |
---|
| 556 | |
---|
| 557 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
| 558 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
| 559 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 560 | |
---|
| 561 | IF ( def < 0.0 ) def = 0.0 |
---|
| 562 | |
---|
| 563 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 564 | |
---|
| 565 | ! |
---|
| 566 | !-- 3 - Wird nur ausgefuehrt, wenn mindestens ein Niveau |
---|
| 567 | !-- zwischen 2 und 4 liegt, d.h. ab einer Gebaeudemindest- |
---|
[53] | 568 | !-- hoehe von 2 dz. Di Wall fluxes sind in diesem Fall bereits vorab |
---|
| 569 | !-- unter (2) berechnet worden. 'Nur Wand: Wall functions' |
---|
[1] | 570 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
| 571 | |
---|
| 572 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[53] | 573 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 574 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 575 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 576 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 577 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
| 578 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 579 | |
---|
[1] | 580 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
[53] | 581 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
---|
| 582 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
---|
[1] | 583 | ELSE |
---|
| 584 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 585 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
[53] | 586 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 587 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 588 | ENDIF |
---|
| 589 | |
---|
| 590 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
[53] | 591 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
---|
| 592 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
---|
[1] | 593 | ELSE |
---|
| 594 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 595 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 596 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 597 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 598 | ENDIF |
---|
| 599 | |
---|
| 600 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
| 601 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
| 602 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 603 | |
---|
| 604 | IF ( def < 0.0 ) def = 0.0 |
---|
| 605 | |
---|
| 606 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 607 | |
---|
| 608 | ENDDO |
---|
| 609 | |
---|
| 610 | ! |
---|
| 611 | !-- 4 - Wird immer ausgefuehrt. |
---|
| 612 | !-- 'Sonderfall: Freie Atmosphaere' (wie bei 0) |
---|
| 613 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 614 | |
---|
| 615 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 616 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 617 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 618 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 619 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 620 | |
---|
| 621 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 622 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 623 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 624 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 625 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
| 626 | |
---|
| 627 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 628 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 629 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 630 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 631 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 632 | |
---|
| 633 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
| 634 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
| 635 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 636 | |
---|
| 637 | IF ( def < 0.0 ) def = 0.0 |
---|
| 638 | |
---|
| 639 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 640 | |
---|
| 641 | ELSE |
---|
| 642 | |
---|
| 643 | ! |
---|
| 644 | !-- Position ohne angrenzende Gebaeudewand |
---|
| 645 | !-- 1 - Wird immer ausgefuehrt. 'Nur Boden: u_0,v_0' |
---|
| 646 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 647 | |
---|
| 648 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 649 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 650 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 651 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 652 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
| 653 | |
---|
| 654 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 655 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 656 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 657 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 658 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
| 659 | |
---|
| 660 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 661 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 662 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 663 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 664 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 665 | |
---|
| 666 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
| 667 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
| 668 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 669 | |
---|
| 670 | IF ( def < 0.0 ) def = 0.0 |
---|
| 671 | |
---|
| 672 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 673 | |
---|
| 674 | ENDIF |
---|
| 675 | |
---|
[37] | 676 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 677 | |
---|
| 678 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 679 | |
---|
| 680 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 681 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 682 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 683 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 684 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 685 | |
---|
| 686 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 687 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 688 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 689 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 690 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
| 691 | |
---|
| 692 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 693 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 694 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 695 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 696 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 697 | |
---|
| 698 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
| 699 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
| 700 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
| 701 | |
---|
| 702 | IF ( def < 0.0 ) def = 0.0 |
---|
| 703 | |
---|
| 704 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 705 | |
---|
[1] | 706 | ENDIF |
---|
| 707 | |
---|
| 708 | ! |
---|
| 709 | !-- Calculate TKE production by buoyancy |
---|
| 710 | IF ( .NOT. moisture ) THEN |
---|
| 711 | |
---|
[19] | 712 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 713 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 714 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 715 | ENDDO |
---|
[19] | 716 | |
---|
[1] | 717 | IF ( use_surface_fluxes ) THEN |
---|
| 718 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 719 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
| 720 | ENDIF |
---|
| 721 | |
---|
[19] | 722 | IF ( use_top_fluxes ) THEN |
---|
| 723 | k = nzt |
---|
| 724 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
| 725 | ENDIF |
---|
| 726 | |
---|
[1] | 727 | ELSE |
---|
| 728 | |
---|
[19] | 729 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 730 | |
---|
| 731 | IF ( .NOT. cloud_physics ) THEN |
---|
| 732 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 733 | k2 = 0.61 * pt(k,j,i) |
---|
| 734 | ELSE |
---|
| 735 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 736 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 737 | k2 = 0.61 * pt(k,j,i) |
---|
| 738 | ELSE |
---|
| 739 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 740 | temp = theta * t_d_pt(k) |
---|
| 741 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 742 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 743 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 744 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 745 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 746 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 747 | ENDIF |
---|
| 748 | ENDIF |
---|
| 749 | |
---|
| 750 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 751 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 752 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 753 | ) * dd2zu(k) |
---|
| 754 | ENDDO |
---|
[19] | 755 | |
---|
[1] | 756 | IF ( use_surface_fluxes ) THEN |
---|
| 757 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 758 | |
---|
| 759 | IF ( .NOT. cloud_physics ) THEN |
---|
| 760 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 761 | k2 = 0.61 * pt(k,j,i) |
---|
| 762 | ELSE |
---|
| 763 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 764 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 765 | k2 = 0.61 * pt(k,j,i) |
---|
| 766 | ELSE |
---|
| 767 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 768 | temp = theta * t_d_pt(k) |
---|
| 769 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 770 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 771 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 772 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 773 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 774 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 775 | ENDIF |
---|
| 776 | ENDIF |
---|
| 777 | |
---|
| 778 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 779 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
| 780 | ENDIF |
---|
| 781 | |
---|
[19] | 782 | IF ( use_top_fluxes ) THEN |
---|
| 783 | k = nzt |
---|
| 784 | |
---|
| 785 | IF ( .NOT. cloud_physics ) THEN |
---|
| 786 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 787 | k2 = 0.61 * pt(k,j,i) |
---|
| 788 | ELSE |
---|
| 789 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
| 790 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
| 791 | k2 = 0.61 * pt(k,j,i) |
---|
| 792 | ELSE |
---|
| 793 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 794 | temp = theta * t_d_pt(k) |
---|
| 795 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
| 796 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 797 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
| 798 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
| 799 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 800 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
| 801 | ENDIF |
---|
| 802 | ENDIF |
---|
| 803 | |
---|
| 804 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 805 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
| 806 | ENDIF |
---|
| 807 | |
---|
[1] | 808 | ENDIF |
---|
| 809 | |
---|
| 810 | END SUBROUTINE production_e_ij |
---|
| 811 | |
---|
| 812 | |
---|
| 813 | SUBROUTINE production_e_init |
---|
| 814 | |
---|
| 815 | USE arrays_3d |
---|
| 816 | USE control_parameters |
---|
| 817 | USE grid_variables |
---|
| 818 | USE indices |
---|
| 819 | |
---|
| 820 | IMPLICIT NONE |
---|
| 821 | |
---|
| 822 | INTEGER :: i, j, ku, kv |
---|
| 823 | |
---|
[37] | 824 | IF ( prandtl_layer ) THEN |
---|
[1] | 825 | |
---|
| 826 | IF ( first_call ) THEN |
---|
| 827 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
---|
| 828 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
---|
| 829 | first_call = .FALSE. |
---|
| 830 | ENDIF |
---|
| 831 | |
---|
| 832 | ! |
---|
| 833 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
| 834 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
| 835 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
| 836 | !-- production term at k=1 (see production_e_ij). |
---|
| 837 | !-- The velocity gradient has to be limited in case of too small km |
---|
| 838 | !-- (otherwise the timestep may be significantly reduced by large |
---|
| 839 | !-- surface winds). |
---|
| 840 | !-- WARNING: the exact analytical solution would require the determination |
---|
| 841 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
| 842 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
| 843 | DO i = nxl, nxr |
---|
| 844 | DO j = nys, nyn |
---|
| 845 | |
---|
| 846 | ku = nzb_u_inner(j,i)+1 |
---|
| 847 | kv = nzb_v_inner(j,i)+1 |
---|
| 848 | |
---|
| 849 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
| 850 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
| 851 | 1.0E-20 ) |
---|
| 852 | ! ( us(j,i) * kappa * zu(1) ) |
---|
| 853 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
| 854 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
| 855 | 1.0E-20 ) |
---|
| 856 | ! ( us(j,i) * kappa * zu(1) ) |
---|
| 857 | |
---|
| 858 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
| 859 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
| 860 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
| 861 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
| 862 | |
---|
| 863 | ENDDO |
---|
| 864 | ENDDO |
---|
| 865 | |
---|
| 866 | CALL exchange_horiz_2d( u_0 ) |
---|
| 867 | CALL exchange_horiz_2d( v_0 ) |
---|
| 868 | |
---|
| 869 | ENDIF |
---|
| 870 | |
---|
| 871 | END SUBROUTINE production_e_init |
---|
| 872 | |
---|
| 873 | END MODULE production_e_mod |
---|