| 1 | MODULE diffusion_w_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 | ! |
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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 4 2007-02-13 11:33:16Z raasch $ |
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| 11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 12 | ! |
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| 13 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
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| 14 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
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| 15 | ! +z0 in argument list |
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| 16 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
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| 17 | ! |
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| 18 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 19 | ! Initial revision |
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| 20 | ! |
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| 21 | ! |
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| 22 | ! Description: |
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| 23 | ! ------------ |
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| 24 | ! Diffusion term of the w-component |
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| 25 | !------------------------------------------------------------------------------! |
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| 26 | |
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| 27 | PRIVATE |
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| 28 | PUBLIC diffusion_w |
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| 29 | |
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| 30 | INTERFACE diffusion_w |
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| 31 | MODULE PROCEDURE diffusion_w |
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| 32 | MODULE PROCEDURE diffusion_w_ij |
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| 33 | END INTERFACE diffusion_w |
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| 34 | |
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| 35 | CONTAINS |
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| 36 | |
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| 37 | |
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| 38 | !------------------------------------------------------------------------------! |
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| 39 | ! Call for all grid points |
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| 40 | !------------------------------------------------------------------------------! |
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| 41 | SUBROUTINE diffusion_w( ddzu, ddzw, km, km_damp_x, km_damp_y, tend, u, v, & |
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| 42 | w, z0 ) |
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| 43 | |
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| 44 | USE control_parameters |
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| 45 | USE grid_variables |
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| 46 | USE indices |
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| 47 | |
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| 48 | IMPLICIT NONE |
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| 49 | |
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| 50 | INTEGER :: i, j, k |
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| 51 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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| 52 | kmyp_z, wsus, wsvs |
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| 53 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt), km_damp_x(nxl-1:nxr+1), & |
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| 54 | km_damp_y(nys-1:nyn+1) |
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| 55 | REAL :: z0(nys-1:nyn+1,nxl-1:nxr+1) |
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| 56 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 57 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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| 58 | |
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| 59 | |
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| 60 | DO i = nxl, nxr |
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| 61 | DO j = nys, nyn |
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| 62 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 63 | ! |
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| 64 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 65 | kmxp_x = 0.25 * & |
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| 66 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 67 | kmxm_x = 0.25 * & |
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| 68 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 69 | kmxp_z = kmxp_x |
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| 70 | kmxm_z = kmxm_x |
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| 71 | kmyp_y = 0.25 * & |
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| 72 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 73 | kmym_y = 0.25 * & |
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| 74 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 75 | kmyp_z = kmyp_y |
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| 76 | kmym_z = kmym_y |
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| 77 | ! |
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| 78 | !-- Increase diffusion at the outflow boundary in case of |
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| 79 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 80 | !-- velocity components parallel to the outflow boundary in |
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| 81 | !-- the direction normal to the outflow boundary. |
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| 82 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 83 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 84 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 85 | ENDIF |
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| 86 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 87 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 88 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 89 | ENDIF |
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| 90 | |
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| 91 | tend(k,j,i) = tend(k,j,i) & |
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| 92 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 93 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 94 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 95 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 96 | & ) * ddx & |
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| 97 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 98 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 99 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 100 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 101 | & ) * ddy & |
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| 102 | & + 2.0 * ( & |
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| 103 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 104 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 105 | & ) * ddzu(k+1) |
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| 106 | ENDDO |
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| 107 | |
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| 108 | ! |
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| 109 | !-- Wall functions at all vertical walls, where necessary |
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| 110 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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| 111 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 112 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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| 113 | wsus = kappa * w(k,j,i) / LOG( 0.5 * dx / z0(j,i)) |
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| 114 | wsus = -wsus * ABS( wsus ) |
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| 115 | ELSE |
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| 116 | wsus = 0.0 |
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| 117 | ENDIF |
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| 118 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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| 119 | wsvs = kappa * w(k,j,i) / LOG( 0.5 * dy / z0(j,i)) |
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| 120 | wsvs = -wsvs * ABS( wsvs ) |
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| 121 | ELSE |
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| 122 | wsvs = 0.0 |
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| 123 | ENDIF |
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| 124 | ! |
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| 125 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 126 | kmxp_x = 0.25 * & |
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| 127 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 128 | kmxm_x = 0.25 * & |
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| 129 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 130 | kmxp_z = kmxp_x |
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| 131 | kmxm_z = kmxm_x |
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| 132 | kmyp_y = 0.25 * & |
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| 133 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 134 | kmym_y = 0.25 * & |
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| 135 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 136 | kmyp_z = kmyp_y |
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| 137 | kmym_z = kmym_y |
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| 138 | ! |
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| 139 | !-- Increase diffusion at the outflow boundary in case of |
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| 140 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 141 | !-- velocity components parallel to the outflow boundary in |
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| 142 | !-- the direction normal to the outflow boundary. |
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| 143 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 144 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 145 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 146 | ENDIF |
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| 147 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 148 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 149 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 150 | ENDIF |
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| 151 | |
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| 152 | tend(k,j,i) = tend(k,j,i) & |
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| 153 | + ( fwxp(j,i) * ( & |
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| 154 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 155 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 156 | ) & |
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| 157 | - fwxm(j,i) * ( & |
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| 158 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 159 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 160 | ) & |
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| 161 | + wall_w_x(j,i) * wsus & |
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| 162 | ) * ddx & |
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| 163 | + ( fwyp(j,i) * ( & |
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| 164 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 165 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 166 | ) & |
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| 167 | - fwym(j,i) * ( & |
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| 168 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 169 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 170 | ) & |
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| 171 | + wall_w_y(j,i) * wsvs & |
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| 172 | ) * ddy & |
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| 173 | + 2.0 * ( & |
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| 174 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 175 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 176 | ) * ddzu(k+1) |
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| 177 | ENDDO |
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| 178 | ENDIF |
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| 179 | |
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| 180 | ENDDO |
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| 181 | ENDDO |
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| 182 | |
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| 183 | END SUBROUTINE diffusion_w |
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| 184 | |
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| 185 | |
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| 186 | !------------------------------------------------------------------------------! |
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| 187 | ! Call for grid point i,j |
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| 188 | !------------------------------------------------------------------------------! |
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| 189 | SUBROUTINE diffusion_w_ij( i, j, ddzu, ddzw, km, km_damp_x, km_damp_y, & |
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| 190 | tend, u, v, w, z0 ) |
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| 191 | |
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| 192 | USE control_parameters |
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| 193 | USE grid_variables |
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| 194 | USE indices |
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| 195 | |
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| 196 | IMPLICIT NONE |
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| 197 | |
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| 198 | INTEGER :: i, j, k |
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| 199 | REAL :: kmxm_x, kmxm_z, kmxp_x, kmxp_z, kmym_y, kmym_z, kmyp_y, & |
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| 200 | kmyp_z, wsus, wsvs |
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| 201 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt), km_damp_x(nxl-1:nxr+1), & |
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| 202 | km_damp_y(nys-1:nyn+1) |
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| 203 | REAL :: z0(nys-1:nyn+1,nxl-1:nxr+1) |
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| 204 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 205 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
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| 206 | |
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| 207 | |
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| 208 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 209 | ! |
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| 210 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 211 | 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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| 212 | 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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| 213 | kmxp_z = kmxp_x |
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| 214 | kmxm_z = kmxm_x |
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| 215 | 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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| 216 | 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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| 217 | kmyp_z = kmyp_y |
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| 218 | kmym_z = kmym_y |
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| 219 | ! |
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| 220 | !-- Increase diffusion at the outflow boundary in case of non-cyclic |
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| 221 | !-- lateral boundaries. Damping is only needed for velocity components |
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| 222 | !-- parallel to the outflow boundary in the direction normal to the |
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| 223 | !-- outflow boundary. |
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| 224 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 225 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 226 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 227 | ENDIF |
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| 228 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 229 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 230 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 231 | ENDIF |
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| 232 | |
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| 233 | tend(k,j,i) = tend(k,j,i) & |
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| 234 | & + ( kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 235 | & + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 236 | & - kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 237 | & - kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 238 | & ) * ddx & |
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| 239 | & + ( kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 240 | & + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 241 | & - kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 242 | & - kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 243 | & ) * ddy & |
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| 244 | & + 2.0 * ( & |
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| 245 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 246 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 247 | & ) * ddzu(k+1) |
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| 248 | ENDDO |
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| 249 | |
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| 250 | ! |
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| 251 | !-- Wall functions at all vertical walls, where necessary |
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| 252 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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| 253 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 254 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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| 255 | wsus = kappa * w(k,j,i) / LOG( 0.5 * dx / z0(j,i)) |
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| 256 | wsus = -wsus * ABS( wsus ) |
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| 257 | ELSE |
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| 258 | wsus = 0.0 |
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| 259 | ENDIF |
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| 260 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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| 261 | wsvs = kappa * w(k,j,i) / LOG( 0.5 * dy / z0(j,i)) |
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| 262 | wsvs = -wsvs * ABS( wsvs ) |
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| 263 | ELSE |
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| 264 | wsvs = 0.0 |
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| 265 | ENDIF |
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| 266 | ! |
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| 267 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 268 | 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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| 269 | 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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| 270 | kmxp_z = kmxp_x |
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| 271 | kmxm_z = kmxm_x |
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| 272 | 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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| 273 | 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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| 274 | kmyp_z = kmyp_y |
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| 275 | kmym_z = kmym_y |
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| 276 | ! |
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| 277 | !-- Increase diffusion at the outflow boundary in case of |
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| 278 | !-- non-cyclic lateral boundaries. Damping is only needed for |
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| 279 | !-- velocity components parallel to the outflow boundary in |
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| 280 | !-- the direction normal to the outflow boundary. |
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| 281 | IF ( bc_lr /= 'cyclic' ) THEN |
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| 282 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
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| 283 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
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| 284 | ENDIF |
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| 285 | IF ( bc_ns /= 'cyclic' ) THEN |
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| 286 | kmyp_y = MAX( kmyp_y, km_damp_y(j) ) |
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| 287 | kmym_y = MAX( kmym_y, km_damp_y(j) ) |
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| 288 | ENDIF |
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| 289 | |
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| 290 | tend(k,j,i) = tend(k,j,i) & |
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| 291 | + ( fwxp(j,i) * ( & |
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| 292 | kmxp_x * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 293 | + kmxp_z * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 294 | ) & |
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| 295 | - fwxm(j,i) * ( & |
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| 296 | kmxm_x * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 297 | + kmxm_z * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 298 | ) & |
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| 299 | + wall_w_x(j,i) * wsus & |
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| 300 | ) * ddx & |
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| 301 | + ( fwyp(j,i) * ( & |
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| 302 | kmyp_y * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 303 | + kmyp_z * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 304 | ) & |
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| 305 | - fwym(j,i) * ( & |
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| 306 | kmym_y * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 307 | + kmym_z * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 308 | ) & |
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| 309 | + wall_w_y(j,i) * wsvs & |
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| 310 | ) * ddy & |
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| 311 | + 2.0 * ( & |
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| 312 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 313 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 314 | ) * ddzu(k+1) |
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| 315 | ENDDO |
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| 316 | ENDIF |
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| 317 | |
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| 318 | END SUBROUTINE diffusion_w_ij |
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| 319 | |
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| 320 | END MODULE diffusion_w_mod |
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