| [1] | 1 | SUBROUTINE boundary_conds( range ) |
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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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| [19] | 6 | ! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these |
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| 7 | ! values are now calculated by the prognostic equation, |
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| 8 | ! Dirichlet and zero gradient condition for pt established at top boundary |
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| [1] | 9 | ! |
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| 10 | ! Former revisions: |
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| 11 | ! ----------------- |
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| [3] | 12 | ! $Id: boundary_conds.f90 19 2007-02-23 04:53:48Z raasch $ |
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| 13 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 14 | ! |
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| [1] | 15 | ! Revision 1.15 2006/02/23 09:54:55 raasch |
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| 16 | ! Surface boundary conditions in case of topography: nzb replaced by |
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| 17 | ! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain |
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| 18 | ! unchanged (still using nzb) because a non-flat topography must use a |
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| 19 | ! Prandtl-layer, which don't requires explicit setting of the surface values. |
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| 20 | ! |
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| 21 | ! Revision 1.1 1997/09/12 06:21:34 raasch |
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| 22 | ! Initial revision |
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| 23 | ! |
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| 24 | ! |
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| 25 | ! Description: |
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| 26 | ! ------------ |
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| 27 | ! Boundary conditions for the prognostic quantities (range='main'). |
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| 28 | ! In case of non-cyclic lateral boundaries the conditions for velocities at |
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| 29 | ! the outflow are set after the pressure solver has been called (range= |
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| 30 | ! 'outflow_uvw'). |
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| 31 | ! One additional bottom boundary condition is applied for the TKE (=(u*)**2) |
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| 32 | ! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly |
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| 33 | ! handled in routine exchange_horiz. Pressure boundary conditions are |
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| 34 | ! explicitly set in routines pres, poisfft, poismg and sor. |
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| 35 | !------------------------------------------------------------------------------! |
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| 36 | |
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| 37 | USE arrays_3d |
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| 38 | USE control_parameters |
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| 39 | USE grid_variables |
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| 40 | USE indices |
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| 41 | USE pegrid |
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| 42 | |
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| 43 | IMPLICIT NONE |
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| 44 | |
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| 45 | CHARACTER (LEN=*) :: range |
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| 46 | |
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| 47 | INTEGER :: i, j, k |
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| 48 | |
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| 49 | |
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| 50 | IF ( range == 'main') THEN |
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| 51 | ! |
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| 52 | !-- Bottom boundary |
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| 53 | IF ( ibc_uv_b == 0 ) THEN |
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| 54 | u(nzb,:,:) = -u(nzb+1,:,:) ! satisfying the Dirichlet condition with |
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| 55 | v(nzb,:,:) = -v(nzb+1,:,:) ! an extra layer below the surface where |
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| 56 | ELSE ! the u and v component change their sign |
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| 57 | u(nzb,:,:) = u(nzb+1,:,:) |
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| 58 | v(nzb,:,:) = v(nzb+1,:,:) |
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| 59 | ENDIF |
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| 60 | DO i = nxl-1, nxr+1 |
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| 61 | DO j = nys-1, nyn+1 |
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| 62 | w(nzb_w_inner(j,i),j,i) = 0.0 |
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| 63 | ENDDO |
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| 64 | ENDDO |
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| 65 | |
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| 66 | ! |
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| 67 | !-- Top boundary |
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| 68 | IF ( ibc_uv_t == 0 ) THEN |
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| 69 | u(nzt+1,:,:) = ug(nzt+1) |
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| 70 | v(nzt+1,:,:) = vg(nzt+1) |
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| 71 | ELSE |
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| 72 | u(nzt+1,:,:) = u(nzt,:,:) |
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| 73 | v(nzt+1,:,:) = v(nzt,:,:) |
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| 74 | ENDIF |
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| 75 | w(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres) |
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| 76 | |
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| 77 | ! |
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| 78 | !-- Temperature at bottom boundary |
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| 79 | IF ( ibc_pt_b == 0 ) THEN |
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| 80 | IF ( timestep_scheme(1:5) /= 'runge' ) THEN |
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| 81 | DO i = nxl-1, nxr+1 |
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| 82 | DO j = nys-1, nyn+1 |
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| 83 | pt(nzb_s_inner(j,i),j,i) = pt_m(nzb_s_inner(j,i),j,i) |
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| 84 | ENDDO |
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| 85 | ENDDO |
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| 86 | ELSE |
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| 87 | DO i = nxl-1, nxr+1 |
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| 88 | DO j = nys-1, nyn+1 |
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| 89 | pt(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i),j,i) |
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| 90 | ! pt_m is not used for Runge-Kutta |
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| 91 | ENDDO |
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| 92 | ENDDO |
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| 93 | ENDIF |
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| 94 | ELSE |
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| 95 | DO i = nxl-1, nxr+1 |
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| 96 | DO j = nys-1, nyn+1 |
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| 97 | pt(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i)+1,j,i) |
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| 98 | ENDDO |
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| 99 | ENDDO |
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| 100 | ENDIF |
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| 101 | |
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| 102 | ! |
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| 103 | !-- Temperature at top boundary |
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| [19] | 104 | IF ( ibc_pt_t == 0 ) THEN |
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| 105 | IF ( timestep_scheme(1:5) /= 'runge' ) THEN |
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| 106 | pt(nzt+1,:,:) = pt_m(nzt+1,:,:) |
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| 107 | ELSE |
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| 108 | pt(nzt+1,:,:) = pt_p(nzt+1,:,:) ! pt_m not used for Runge-Kutta |
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| 109 | ENDIF |
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| 110 | ELSEIF ( ibc_pt_t == 1 ) THEN |
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| 111 | pt(nzt+1,:,:) = pt(nzt,:,:) |
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| 112 | ELSEIF ( ibc_pt_t == 2 ) THEN |
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| [1] | 113 | pt(nzt+1,:,:) = pt(nzt,:,:) + bc_pt_t_val * dzu(nzt+1) |
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| 114 | ENDIF |
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| 115 | |
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| 116 | ! |
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| 117 | !-- Boundary conditions for TKE |
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| 118 | !-- Generally Neumann conditions with de/dz=0 are assumed |
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| 119 | IF ( .NOT. constant_diffusion ) THEN |
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| 120 | DO i = nxl-1, nxr+1 |
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| 121 | DO j = nys-1, nyn+1 |
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| 122 | e(nzb_s_inner(j,i),j,i) = e(nzb_s_inner(j,i)+1,j,i) |
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| 123 | ENDDO |
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| 124 | ENDDO |
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| 125 | e(nzt+1,:,:) = e(nzt,:,:) |
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| 126 | ENDIF |
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| 127 | |
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| 128 | ! |
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| 129 | !-- Boundary conditions for total water content or scalar, |
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| 130 | !-- bottom and surface boundary (see also temperature) |
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| 131 | IF ( moisture .OR. passive_scalar ) THEN |
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| 132 | ! |
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| 133 | !-- Surface conditions for constant_moisture_flux |
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| 134 | IF ( ibc_q_b == 0 ) THEN |
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| 135 | IF ( timestep_scheme(1:5) /= 'runge' ) THEN |
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| 136 | DO i = nxl-1, nxr+1 |
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| 137 | DO j = nys-1, nyn+1 |
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| 138 | q(nzb_s_inner(j,i),j,i) = q_m(nzb_s_inner(j,i),j,i) |
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| 139 | ENDDO |
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| 140 | ENDDO |
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| 141 | ELSE |
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| 142 | DO i = nxl-1, nxr+1 |
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| 143 | DO j = nys-1, nyn+1 |
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| 144 | q(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i),j,i) |
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| 145 | ENDDO ! q_m is not used for Runge-Kutta |
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| 146 | ENDDO |
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| 147 | ENDIF |
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| 148 | ELSE |
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| 149 | DO i = nxl-1, nxr+1 |
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| 150 | DO j = nys-1, nyn+1 |
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| 151 | q(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i)+1,j,i) |
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| 152 | ENDDO |
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| 153 | ENDDO |
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| 154 | ENDIF |
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| 155 | ! |
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| 156 | !-- Top boundary |
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| 157 | q(nzt+1,:,:) = q(nzt,:,:) + bc_q_t_val * dzu(nzt+1) |
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| 158 | ENDIF |
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| 159 | |
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| 160 | ! |
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| 161 | !-- Lateral boundary conditions at the inflow. Quasi Neumann conditions |
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| 162 | !-- are needed for the wall normal velocity in order to ensure zero |
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| 163 | !-- divergence. Dirichlet conditions are used for all other quantities. |
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| 164 | IF ( inflow_s ) THEN |
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| 165 | v(:,nys,:) = v(:,nys-1,:) |
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| 166 | ELSEIF ( inflow_n ) THEN |
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| 167 | v(:,nyn+vynp,:) = v(:,nyn+vynp+1,:) |
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| 168 | ELSEIF ( inflow_l ) THEN |
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| 169 | u(:,:,nxl) = u(:,:,nxl-1) |
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| 170 | ELSEIF ( inflow_r ) THEN |
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| 171 | u(:,:,nxr+uxrp) = u(:,:,nxr+uxrp+1) |
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| 172 | ENDIF |
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| 173 | |
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| 174 | ! |
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| 175 | !-- Lateral boundary conditions for scalar quantities at the outflow |
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| 176 | IF ( outflow_s ) THEN |
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| 177 | pt(:,nys-1,:) = pt(:,nys,:) |
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| 178 | IF ( .NOT. constant_diffusion ) e(:,nys-1,:) = e(:,nys,:) |
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| 179 | IF ( moisture .OR. passive_scalar ) q(:,nys-1,:) = q(:,nys,:) |
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| 180 | ELSEIF ( outflow_n ) THEN |
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| 181 | pt(:,nyn+1,:) = pt(:,nyn,:) |
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| 182 | IF ( .NOT. constant_diffusion ) e(:,nyn+1,:) = e(:,nyn,:) |
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| 183 | IF ( moisture .OR. passive_scalar ) q(:,nyn+1,:) = q(:,nyn,:) |
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| 184 | ELSEIF ( outflow_l ) THEN |
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| 185 | pt(:,:,nxl-1) = pt(:,:,nxl) |
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| 186 | IF ( .NOT. constant_diffusion ) e(:,:,nxl-1) = e(:,:,nxl) |
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| 187 | IF ( moisture .OR. passive_scalar ) q(:,:,nxl-1) = q(:,:,nxl) |
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| 188 | ELSEIF ( outflow_r ) THEN |
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| 189 | pt(:,:,nxr+1) = pt(:,:,nxr) |
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| 190 | IF ( .NOT. constant_diffusion ) e(:,:,nxr+1) = e(:,:,nxr) |
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| 191 | IF ( moisture .OR. passive_scalar ) q(:,:,nxr+1) = q(:,:,nxr) |
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| 192 | ENDIF |
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| 193 | |
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| 194 | ENDIF |
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| 195 | |
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| 196 | IF ( range == 'outflow_uvw' ) THEN |
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| 197 | ! |
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| 198 | !-- Horizontal boundary conditions for the velocities at the outflow. |
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| 199 | !-- A Neumann condition is used for the wall normal velocity. The vertical |
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| 200 | !-- velocity is assumed as zero and a horizontal average along the wall is |
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| 201 | !-- used for the wall parallel horizontal velocity. The combination of all |
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| 202 | !-- three conditions ensures that the velocity field is free of divergence |
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| 203 | !-- at the outflow (uvmean_outflow_l is calculated in pres). |
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| 204 | IF ( outflow_s ) THEN |
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| 205 | v(:,nys-1,:) = v(:,nys,:) |
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| 206 | w(:,nys-1,:) = 0.0 |
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| 207 | ! |
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| 208 | !-- Compute the mean horizontal wind parallel to and within the outflow |
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| 209 | !-- wall and use this as boundary condition for u |
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| 210 | #if defined( __parallel ) |
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| 211 | CALL MPI_ALLREDUCE( uvmean_outflow_l, uvmean_outflow, nzt-nzb+2, & |
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| 212 | MPI_REAL, MPI_SUM, comm1dx, ierr ) |
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| 213 | uvmean_outflow = uvmean_outflow / ( nx + 1.0 ) |
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| 214 | #else |
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| 215 | uvmean_outflow = uvmean_outflow_l / ( nx + 1.0 ) |
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| 216 | #endif |
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| 217 | DO k = nzb, nzt+1 |
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| 218 | u(k,nys-1,:) = uvmean_outflow(k) |
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| 219 | ENDDO |
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| 220 | ENDIF |
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| 221 | |
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| 222 | IF ( outflow_n ) THEN |
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| 223 | v(:,nyn+vynp+1,:) = v(:,nyn+vynp,:) |
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| 224 | w(:,nyn+1,:) = 0.0 |
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| 225 | ! |
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| 226 | !-- Compute the mean horizontal wind parallel to and within the outflow |
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| 227 | !-- wall and use this as boundary condition for u |
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| 228 | #if defined( __parallel ) |
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| 229 | CALL MPI_ALLREDUCE( uvmean_outflow_l, uvmean_outflow, nzt-nzb+2, & |
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| 230 | MPI_REAL, MPI_SUM, comm1dx, ierr ) |
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| 231 | uvmean_outflow = uvmean_outflow / ( nx + 1.0 ) |
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| 232 | #else |
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| 233 | uvmean_outflow = uvmean_outflow_l / ( nx + 1.0 ) |
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| 234 | #endif |
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| 235 | DO k = nzb, nzt+1 |
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| 236 | u(k,nyn+1,:) = uvmean_outflow(k) |
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| 237 | ENDDO |
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| 238 | ENDIF |
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| 239 | |
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| 240 | IF ( outflow_l ) THEN |
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| 241 | u(:,:,nxl-1) = u(:,:,nxl) |
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| 242 | w(:,:,nxl-1) = 0.0 |
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| 243 | ! |
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| 244 | !-- Compute the mean horizontal wind parallel to and within the outflow |
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| 245 | !-- wall and use this as boundary condition for v |
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| 246 | #if defined( __parallel ) |
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| 247 | CALL MPI_ALLREDUCE( uvmean_outflow_l, uvmean_outflow, nzt-nzb+2, & |
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| 248 | MPI_REAL, MPI_SUM, comm1dy, ierr ) |
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| 249 | uvmean_outflow = uvmean_outflow / ( ny + 1.0 ) |
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| 250 | #else |
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| 251 | uvmean_outflow = uvmean_outflow_l / ( ny + 1.0 ) |
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| 252 | #endif |
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| 253 | DO k = nzb, nzt+1 |
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| 254 | v(k,:,nxl-1) = uvmean_outflow(k) |
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| 255 | ENDDO |
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| 256 | |
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| 257 | ENDIF |
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| 258 | |
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| 259 | IF ( outflow_r ) THEN |
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| 260 | u(:,:,nxr+uxrp+1) = u(:,:,nxr+uxrp) |
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| 261 | w(:,:,nxr+1) = 0.0 |
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| 262 | ! |
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| 263 | !-- Compute the mean horizontal wind parallel to and within the outflow |
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| 264 | !-- wall and use this as boundary condition for v |
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| 265 | #if defined( __parallel ) |
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| 266 | CALL MPI_ALLREDUCE( uvmean_outflow_l, uvmean_outflow, nzt-nzb+2, & |
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| 267 | MPI_REAL, MPI_SUM, comm1dy, ierr ) |
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| 268 | uvmean_outflow = uvmean_outflow / ( ny + 1.0 ) |
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| 269 | #else |
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| 270 | uvmean_outflow = uvmean_outflow_l / ( ny + 1.0 ) |
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| 271 | #endif |
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| 272 | DO k = nzb, nzt+1 |
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| 273 | v(k,:,nxr+1) = uvmean_outflow(k) |
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| 274 | ENDDO |
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| 275 | ENDIF |
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| 276 | |
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| 277 | ENDIF |
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| 278 | |
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| 279 | |
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| 280 | END SUBROUTINE boundary_conds |
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