| 1 | MODULE diffusion_w_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Current revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: diffusion_w.f90 484 2010-02-05 07:36:54Z helmke $ |
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| 11 | ! |
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| 12 | ! 366 2009-08-25 08:06:27Z raasch |
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| 13 | ! bc_lr/bc_ns replaced by bc_lr_cyc/bc_ns_cyc |
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| 14 | ! |
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| 15 | ! 75 2007-03-22 09:54:05Z raasch |
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| 16 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
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| 17 | ! z0 removed from argument list |
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| 18 | ! |
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| 19 | ! 20 2007-02-26 00:12:32Z raasch |
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| 20 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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| 21 | ! |
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| 22 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 23 | ! |
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| 24 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
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| 25 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
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| 26 | ! +z0 in argument list |
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| 27 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
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| 28 | ! |
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| 29 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 30 | ! Initial revision |
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| 31 | ! |
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| 32 | ! |
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| 33 | ! Description: |
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| 34 | ! ------------ |
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| 35 | ! Diffusion term of the w-component |
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| 36 | !------------------------------------------------------------------------------! |
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| 37 | |
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| 38 | USE wall_fluxes_mod |
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| 39 | |
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| 40 | PRIVATE |
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| 41 | PUBLIC diffusion_w |
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| 42 | |
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| 43 | INTERFACE diffusion_w |
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| 44 | MODULE PROCEDURE diffusion_w |
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| 45 | MODULE PROCEDURE diffusion_w_ij |
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| 46 | END INTERFACE diffusion_w |
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| 47 | |
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| 48 | CONTAINS |
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| 49 | |
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| 50 | |
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| 51 | !------------------------------------------------------------------------------! |
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| 52 | ! Call for all grid points |
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| 53 | !------------------------------------------------------------------------------! |
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| 54 | SUBROUTINE diffusion_w( ddzu, ddzw, km, km_damp_x, km_damp_y, tend, u, v, & |
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| 55 | w ) |
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| 56 | |
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| 57 | USE control_parameters |
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| 58 | USE grid_variables |
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| 59 | USE indices |
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| 60 | |
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| 61 | IMPLICIT NONE |
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| 62 | |
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| 63 | INTEGER :: i, j, k |
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| 64 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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| 65 | kmyp_z |
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| 66 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxl-1:nxr+1), & |
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| 67 | km_damp_y(nys-1:nyn+1) |
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| 68 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 69 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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| 70 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
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| 71 | |
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| 72 | |
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| 73 | ! |
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| 74 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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| 75 | !-- walls, if neccessary |
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| 76 | IF ( topography /= 'flat' ) THEN |
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| 77 | CALL wall_fluxes( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
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| 78 | nzb_w_outer, wall_w_x ) |
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| 79 | CALL wall_fluxes( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
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| 80 | nzb_w_outer, wall_w_y ) |
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| 81 | ENDIF |
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| 82 | |
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| 83 | DO i = nxl, nxr |
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| 84 | DO j = nys, nyn |
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| 85 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 86 | ! |
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| 87 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 88 | kmxp_x = 0.25 * & |
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| 89 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 90 | kmxm_x = 0.25 * & |
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| 91 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 92 | kmxp_z = kmxp_x |
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| 93 | kmxm_z = kmxm_x |
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| 94 | kmyp_y = 0.25 * & |
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| 95 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 96 | kmym_y = 0.25 * & |
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| 97 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 98 | kmyp_z = kmyp_y |
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| 99 | kmym_z = kmym_y |
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| 100 | ! |
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| 101 | !-- Increase diffusion at the outflow boundary in case of |
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| 102 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 103 | !-- velocity components parallel to the outflow boundary in |
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| 104 | !-- the direction normal to the outflow boundary. |
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| 105 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 106 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 107 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 108 | ENDIF |
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| 109 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 110 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 111 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 112 | ENDIF |
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| 113 | |
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| 114 | tend(k,j,i) = tend(k,j,i) & |
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| 115 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 116 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 117 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 118 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 119 | & ) * ddx & |
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| 120 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 121 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 122 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 123 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 124 | & ) * ddy & |
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| 125 | & + 2.0 * ( & |
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| 126 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 127 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 128 | & ) * ddzu(k+1) |
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| 129 | ENDDO |
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| 130 | |
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| 131 | ! |
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| 132 | !-- Wall functions at all vertical walls, where necessary |
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| 133 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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| 134 | |
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| 135 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 136 | ! |
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| 137 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 138 | kmxp_x = 0.25 * & |
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| 139 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 140 | kmxm_x = 0.25 * & |
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| 141 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 142 | kmxp_z = kmxp_x |
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| 143 | kmxm_z = kmxm_x |
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| 144 | kmyp_y = 0.25 * & |
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| 145 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 146 | kmym_y = 0.25 * & |
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| 147 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 148 | kmyp_z = kmyp_y |
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| 149 | kmym_z = kmym_y |
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| 150 | ! |
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| 151 | !-- Increase diffusion at the outflow boundary in case of |
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| 152 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 153 | !-- velocity components parallel to the outflow boundary in |
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| 154 | !-- the direction normal to the outflow boundary. |
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| 155 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 156 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 157 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 158 | ENDIF |
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| 159 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 160 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 161 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 162 | ENDIF |
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| 163 | |
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| 164 | tend(k,j,i) = tend(k,j,i) & |
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| 165 | + ( fwxp(j,i) * ( & |
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| 166 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 167 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 168 | ) & |
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| 169 | - fwxm(j,i) * ( & |
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| 170 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 171 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 172 | ) & |
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| 173 | + wall_w_x(j,i) * wsus(k,j,i) & |
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| 174 | ) * ddx & |
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| 175 | + ( fwyp(j,i) * ( & |
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| 176 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 177 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 178 | ) & |
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| 179 | - fwym(j,i) * ( & |
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| 180 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 181 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 182 | ) & |
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| 183 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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| 184 | ) * ddy & |
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| 185 | + 2.0 * ( & |
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| 186 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 187 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 188 | ) * ddzu(k+1) |
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| 189 | ENDDO |
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| 190 | ENDIF |
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| 191 | |
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| 192 | ENDDO |
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| 193 | ENDDO |
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| 194 | |
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| 195 | END SUBROUTINE diffusion_w |
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| 196 | |
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| 197 | |
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| 198 | !------------------------------------------------------------------------------! |
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| 199 | ! Call for grid point i,j |
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| 200 | !------------------------------------------------------------------------------! |
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| 201 | SUBROUTINE diffusion_w_ij( i, j, ddzu, ddzw, km, km_damp_x, km_damp_y, & |
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| 202 | tend, u, v, w ) |
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| 203 | |
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| 204 | USE control_parameters |
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| 205 | USE grid_variables |
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| 206 | USE indices |
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| 207 | |
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| 208 | IMPLICIT NONE |
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| 209 | |
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| 210 | INTEGER :: i, j, k |
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| 211 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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| 212 | kmyp_z |
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| 213 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxl-1:nxr+1), & |
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| 214 | km_damp_y(nys-1:nyn+1) |
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| 215 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 216 | REAL, DIMENSION(nzb:nzt+1) :: wsus, wsvs |
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| 217 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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| 218 | |
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| 219 | |
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| 220 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 221 | ! |
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| 222 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 223 | kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 224 | kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 225 | kmxp_z = kmxp_x |
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| 226 | kmxm_z = kmxm_x |
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| 227 | kmyp_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 228 | kmym_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 229 | kmyp_z = kmyp_y |
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| 230 | kmym_z = kmym_y |
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| 231 | ! |
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| 232 | !-- Increase diffusion at the outflow boundary in case of non-cyclic |
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| 233 | !-- lateral boundaries. Damping is only needed for velocity components |
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| 234 | !-- parallel to the outflow boundary in the direction normal to the |
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| 235 | !-- outflow boundary. |
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| 236 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 237 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 238 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 239 | ENDIF |
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| 240 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 241 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 242 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 243 | ENDIF |
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| 244 | |
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| 245 | tend(k,j,i) = tend(k,j,i) & |
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| 246 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 247 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 248 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 249 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 250 | & ) * ddx & |
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| 251 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 252 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 253 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 254 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 255 | & ) * ddy & |
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| 256 | & + 2.0 * ( & |
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| 257 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 258 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 259 | & ) * ddzu(k+1) |
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| 260 | ENDDO |
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| 261 | |
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| 262 | ! |
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| 263 | !-- Wall functions at all vertical walls, where necessary |
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| 264 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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| 265 | |
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| 266 | ! |
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| 267 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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| 268 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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| 269 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 270 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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| 271 | ELSE |
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| 272 | wsus = 0.0 |
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| 273 | ENDIF |
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| 274 | |
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| 275 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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| 276 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 277 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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| 278 | ELSE |
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| 279 | wsvs = 0.0 |
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| 280 | ENDIF |
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| 281 | |
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| 282 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 283 | ! |
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| 284 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 285 | kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 286 | kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 287 | kmxp_z = kmxp_x |
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| 288 | kmxm_z = kmxm_x |
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| 289 | kmyp_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 290 | kmym_y = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 291 | kmyp_z = kmyp_y |
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| 292 | kmym_z = kmym_y |
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| 293 | ! |
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| 294 | !-- Increase diffusion at the outflow boundary in case of |
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| 295 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 296 | !-- velocity components parallel to the outflow boundary in |
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| 297 | !-- the direction normal to the outflow boundary. |
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| 298 | IF ( .NOT. bc_lr_cyc ) THEN |
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| 299 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 300 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 301 | ENDIF |
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| 302 | IF ( .NOT. bc_ns_cyc ) THEN |
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| 303 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 304 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 305 | ENDIF |
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| 306 | |
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| 307 | tend(k,j,i) = tend(k,j,i) & |
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| 308 | + ( fwxp(j,i) * ( & |
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| 309 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 310 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 311 | ) & |
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| 312 | - fwxm(j,i) * ( & |
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| 313 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 314 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 315 | ) & |
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| 316 | + wall_w_x(j,i) * wsus(k) & |
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| 317 | ) * ddx & |
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| 318 | + ( fwyp(j,i) * ( & |
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| 319 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 320 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 321 | ) & |
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| 322 | - fwym(j,i) * ( & |
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| 323 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 324 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 325 | ) & |
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| 326 | + wall_w_y(j,i) * wsvs(k) & |
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| 327 | ) * ddy & |
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| 328 | + 2.0 * ( & |
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| 329 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 330 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 331 | ) * ddzu(k+1) |
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| 332 | ENDDO |
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| 333 | ENDIF |
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| 334 | |
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| 335 | END SUBROUTINE diffusion_w_ij |
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| 336 | |
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| 337 | END MODULE diffusion_w_mod |
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