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