[1] | 1 | SUBROUTINE advec_s_bc( sk, sk_char ) |
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| 2 | |
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[1036] | 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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[1310] | 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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[1036] | 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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[247] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1318] | 22 | ! module interfaces removed |
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[1] | 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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[3] | 26 | ! $Id: advec_s_bc.f90 1318 2014-03-17 13:35:16Z raasch $ |
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[77] | 27 | ! |
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[1093] | 28 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 29 | ! unused variables removed |
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| 30 | ! |
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[1037] | 31 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 32 | ! code put under GPL (PALM 3.9) |
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| 33 | ! |
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[1011] | 34 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 35 | ! cpp switch __nopointer added for pointer free version |
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| 36 | ! |
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[623] | 37 | ! 622 2010-12-10 08:08:13Z raasch |
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| 38 | ! optional barriers included in order to speed up collective operations |
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| 39 | ! |
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[392] | 40 | ! 247 2009-02-27 14:01:30Z heinze |
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| 41 | ! Output of messages replaced by message handling routine |
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| 42 | ! |
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[226] | 43 | ! 216 2008-11-25 07:12:43Z raasch |
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| 44 | ! Neumann boundary condition at k=nzb is explicitly set for better reading, |
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| 45 | ! although this has been already done in boundary_conds |
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| 46 | ! |
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[98] | 47 | ! 97 2007-06-21 08:23:15Z raasch |
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| 48 | ! Advection of salinity included |
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| 49 | ! Bugfix: Error in boundary condition for TKE removed |
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| 50 | ! |
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[77] | 51 | ! 63 2007-03-13 03:52:49Z raasch |
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| 52 | ! Calculation extended for gridpoint nzt |
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| 53 | ! |
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[3] | 54 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 55 | ! |
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[1] | 56 | ! Revision 1.22 2006/02/23 09:42:08 raasch |
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| 57 | ! anz renamed ngp |
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| 58 | ! |
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| 59 | ! Revision 1.1 1997/08/29 08:53:46 raasch |
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| 60 | ! Initial revision |
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| 61 | ! |
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| 62 | ! |
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| 63 | ! Description: |
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| 64 | ! ------------ |
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| 65 | ! Advection term for scalar quantities using the Bott-Chlond scheme. |
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| 66 | ! Computation in individual steps for each of the three dimensions. |
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| 67 | ! Limiting assumptions: |
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| 68 | ! So far the scheme has been assuming equidistant grid spacing. As this is not |
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| 69 | ! the case in the stretched portion of the z-direction, there dzw(k) is used as |
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| 70 | ! a substitute for a constant grid length. This certainly causes incorrect |
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| 71 | ! results; however, it is hoped that they are not too apparent for weakly |
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| 72 | ! stretched grids. |
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| 73 | ! NOTE: This is a provisional, non-optimised version! |
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[63] | 74 | !------------------------------------------------------------------------------! |
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[1] | 75 | |
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| 76 | USE advection |
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| 77 | USE arrays_3d |
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[63] | 78 | USE control_parameters |
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[1] | 79 | USE cpulog |
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| 80 | USE grid_variables |
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| 81 | USE indices |
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| 82 | USE pegrid |
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| 83 | USE statistics |
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| 84 | |
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| 85 | IMPLICIT NONE |
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| 86 | |
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| 87 | CHARACTER (LEN=*) :: sk_char |
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| 88 | |
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| 89 | INTEGER :: i, ix, j, k, ngp, sr, type_xz_2 |
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| 90 | |
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[1092] | 91 | REAL :: cim, cimf, cip, cipf, d_new, fminus, fplus, f2, f4, f8, & |
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[1] | 92 | f12, f24, f48, f1920, im, ip, m2, m3, nenner, snenn, sterm, & |
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| 93 | tendenz, t1, t2, zaehler |
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| 94 | REAL :: fmax(2), fmax_l(2) |
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[1010] | 95 | #if defined( __nopointer ) |
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| 96 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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| 97 | #else |
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[1] | 98 | REAL, DIMENSION(:,:,:), POINTER :: sk |
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[1010] | 99 | #endif |
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[1] | 100 | |
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| 101 | REAL, DIMENSION(:,:), ALLOCATABLE :: a0, a1, a12, a2, a22, immb, imme, & |
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| 102 | impb, impe, ipmb, ipme, ippb, ippe |
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| 103 | REAL, DIMENSION(:,:,:), ALLOCATABLE :: sk_p |
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| 104 | |
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[63] | 105 | #if defined( __nec ) |
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[1] | 106 | REAL (kind=4) :: m1n, m1z !Wichtig: Division |
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| 107 | REAL (kind=4), DIMENSION(:,:), ALLOCATABLE :: m1, sw |
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| 108 | #else |
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| 109 | REAL :: m1n, m1z |
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| 110 | REAL, DIMENSION(:,:), ALLOCATABLE :: m1, sw |
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| 111 | #endif |
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| 112 | |
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| 113 | |
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| 114 | ! |
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| 115 | !-- Array sk_p requires 2 extra elements for each dimension |
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[63] | 116 | ALLOCATE( sk_p(nzb-2:nzt+3,nys-3:nyn+3,nxl-3:nxr+3) ) |
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[1] | 117 | sk_p = 0.0 |
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| 118 | |
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| 119 | ! |
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| 120 | !-- Assign reciprocal values in order to avoid divisions later |
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| 121 | f2 = 0.5 |
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| 122 | f4 = 0.25 |
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| 123 | f8 = 0.125 |
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| 124 | f12 = 0.8333333333333333E-01 |
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| 125 | f24 = 0.4166666666666666E-01 |
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| 126 | f48 = 0.2083333333333333E-01 |
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| 127 | f1920 = 0.5208333333333333E-03 |
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| 128 | |
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| 129 | ! |
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| 130 | !-- Advection in x-direction: |
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| 131 | |
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| 132 | ! |
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| 133 | !-- Save the quantity to be advected in a local array |
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| 134 | !-- add an enlarged boundary in x-direction |
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| 135 | DO i = nxl-1, nxr+1 |
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| 136 | DO j = nys, nyn |
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[63] | 137 | DO k = nzb, nzt+1 |
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[1] | 138 | sk_p(k,j,i) = sk(k,j,i) |
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| 139 | ENDDO |
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| 140 | ENDDO |
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| 141 | ENDDO |
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| 142 | #if defined( __parallel ) |
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[63] | 143 | ngp = 2 * ( nzt - nzb + 6 ) * ( nyn - nys + 7 ) |
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[1] | 144 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'start' ) |
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| 145 | ! |
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| 146 | !-- Send left boundary, receive right boundary |
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| 147 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxl+1), ngp, MPI_REAL, pleft, 0, & |
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| 148 | sk_p(nzb-2,nys-3,nxr+2), ngp, MPI_REAL, pright, 0, & |
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| 149 | comm2d, status, ierr ) |
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| 150 | ! |
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| 151 | !-- Send right boundary, receive left boundary |
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| 152 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxr-2), ngp, MPI_REAL, pright, 1, & |
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| 153 | sk_p(nzb-2,nys-3,nxl-3), ngp, MPI_REAL, pleft, 1, & |
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| 154 | comm2d, status, ierr ) |
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| 155 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
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| 156 | #else |
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| 157 | |
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| 158 | ! |
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| 159 | !-- Cyclic boundary conditions |
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| 160 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxr-2) |
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| 161 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxr-1) |
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| 162 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxl+1) |
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| 163 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxl+2) |
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| 164 | #endif |
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| 165 | |
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| 166 | ! |
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| 167 | !-- In case of a sloping surface, the additional gridpoints in x-direction |
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| 168 | !-- of the temperature field at the left and right boundary of the total |
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| 169 | !-- domain must be adjusted by the temperature difference between this distance |
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| 170 | IF ( sloping_surface .AND. sk_char == 'pt' ) THEN |
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| 171 | IF ( nxl == 0 ) THEN |
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| 172 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxl-3) - pt_slope_offset |
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| 173 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxl-2) - pt_slope_offset |
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| 174 | ENDIF |
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| 175 | IF ( nxr == nx ) THEN |
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| 176 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxr+2) + pt_slope_offset |
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| 177 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxr+3) + pt_slope_offset |
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| 178 | ENDIF |
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| 179 | ENDIF |
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| 180 | |
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| 181 | ! |
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| 182 | !-- Initialise control density |
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| 183 | d = 0.0 |
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| 184 | |
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| 185 | ! |
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| 186 | !-- Determine maxima of the first and second derivative in x-direction |
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| 187 | fmax_l = 0.0 |
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| 188 | DO i = nxl, nxr |
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| 189 | DO j = nys, nyn |
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[63] | 190 | DO k = nzb+1, nzt |
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[1] | 191 | zaehler = ABS( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
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| 192 | nenner = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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| 193 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
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| 194 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
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| 195 | ENDDO |
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| 196 | ENDDO |
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| 197 | ENDDO |
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| 198 | #if defined( __parallel ) |
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[622] | 199 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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[1] | 200 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
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| 201 | #else |
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| 202 | fmax = fmax_l |
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| 203 | #endif |
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| 204 | |
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| 205 | fmax = 0.04 * fmax |
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| 206 | |
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| 207 | ! |
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| 208 | !-- Allocate temporary arrays |
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[63] | 209 | ALLOCATE( a0(nzb+1:nzt,nxl-1:nxr+1), a1(nzb+1:nzt,nxl-1:nxr+1), & |
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| 210 | a2(nzb+1:nzt,nxl-1:nxr+1), a12(nzb+1:nzt,nxl-1:nxr+1), & |
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| 211 | a22(nzb+1:nzt,nxl-1:nxr+1), immb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 212 | imme(nzb+1:nzt,nxl-1:nxr+1), impb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 213 | impe(nzb+1:nzt,nxl-1:nxr+1), ipmb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 214 | ipme(nzb+1:nzt,nxl-1:nxr+1), ippb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 215 | ippe(nzb+1:nzt,nxl-1:nxr+1), m1(nzb+1:nzt,nxl-2:nxr+2), & |
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| 216 | sw(nzb+1:nzt,nxl-1:nxr+1) & |
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[1] | 217 | ) |
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| 218 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
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| 219 | |
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| 220 | ! |
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| 221 | !-- Initialise point of time measuring of the exponential portion (this would |
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| 222 | !-- not work if done locally within the loop) |
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| 223 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'start' ) |
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| 224 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
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| 225 | |
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| 226 | ! |
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| 227 | !-- Outer loop of all j |
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| 228 | DO j = nys, nyn |
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| 229 | |
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| 230 | ! |
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| 231 | !-- Compute polynomial coefficients |
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| 232 | DO i = nxl-1, nxr+1 |
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[63] | 233 | DO k = nzb+1, nzt |
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[1] | 234 | a12(k,i) = 0.5 * ( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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| 235 | a22(k,i) = 0.5 * ( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) & |
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| 236 | + sk_p(k,j,i-1) ) |
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| 237 | a0(k,i) = ( 9.0 * sk_p(k,j,i+2) - 116.0 * sk_p(k,j,i+1) & |
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| 238 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k,j,i-1) & |
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| 239 | + 9.0 * sk_p(k,j,i-2) ) * f1920 |
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| 240 | a1(k,i) = ( -5.0 * sk_p(k,j,i+2) + 34.0 * sk_p(k,j,i+1) & |
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| 241 | - 34.0 * sk_p(k,j,i-1) + 5.0 * sk_p(k,j,i-2) & |
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| 242 | ) * f48 |
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| 243 | a2(k,i) = ( -3.0 * sk_p(k,j,i+2) + 36.0 * sk_p(k,j,i+1) & |
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| 244 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k,j,i-1) & |
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| 245 | - 3.0 * sk_p(k,j,i-2) ) * f48 |
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| 246 | ENDDO |
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| 247 | ENDDO |
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| 248 | |
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| 249 | ! |
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| 250 | !-- Fluxes using the Bott scheme |
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| 251 | !-- *VOCL LOOP,UNROLL(2) |
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| 252 | DO i = nxl, nxr |
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[63] | 253 | DO k = nzb+1, nzt |
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[1] | 254 | cip = MAX( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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| 255 | cim = -MIN( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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| 256 | cipf = 1.0 - 2.0 * cip |
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| 257 | cimf = 1.0 - 2.0 * cim |
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| 258 | ip = a0(k,i) * f2 * ( 1.0 - cipf ) & |
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| 259 | + a1(k,i) * f8 * ( 1.0 - cipf*cipf ) & |
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| 260 | + a2(k,i) * f24 * ( 1.0 - cipf*cipf*cipf ) |
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| 261 | im = a0(k,i+1) * f2 * ( 1.0 - cimf ) & |
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| 262 | - a1(k,i+1) * f8 * ( 1.0 - cimf*cimf ) & |
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| 263 | + a2(k,i+1) * f24 * ( 1.0 - cimf*cimf*cimf ) |
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| 264 | ip = MAX( ip, 0.0 ) |
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| 265 | im = MAX( im, 0.0 ) |
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| 266 | ippb(k,i) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
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| 267 | impb(k,i) = im * MIN( 1.0, sk_p(k,j,i+1) / (ip+im+1E-15) ) |
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| 268 | |
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| 269 | cip = MAX( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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| 270 | cim = -MIN( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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| 271 | cipf = 1.0 - 2.0 * cip |
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| 272 | cimf = 1.0 - 2.0 * cim |
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| 273 | ip = a0(k,i-1) * f2 * ( 1.0 - cipf ) & |
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| 274 | + a1(k,i-1) * f8 * ( 1.0 - cipf*cipf ) & |
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| 275 | + a2(k,i-1) * f24 * ( 1.0 - cipf*cipf*cipf ) |
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| 276 | im = a0(k,i) * f2 * ( 1.0 - cimf ) & |
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| 277 | - a1(k,i) * f8 * ( 1.0 - cimf*cimf ) & |
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| 278 | + a2(k,i) * f24 * ( 1.0 - cimf*cimf*cimf ) |
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| 279 | ip = MAX( ip, 0.0 ) |
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| 280 | im = MAX( im, 0.0 ) |
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| 281 | ipmb(k,i) = ip * MIN( 1.0, sk_p(k,j,i-1) / (ip+im+1E-15) ) |
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| 282 | immb(k,i) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
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| 283 | ENDDO |
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| 284 | ENDDO |
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| 285 | |
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| 286 | ! |
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| 287 | !-- Compute monitor function m1 |
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| 288 | DO i = nxl-2, nxr+2 |
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[63] | 289 | DO k = nzb+1, nzt |
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[1] | 290 | m1z = ABS( sk_p(k,j,i+1) - 2.0 * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
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| 291 | m1n = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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| 292 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
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| 293 | m1(k,i) = m1z / m1n |
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| 294 | IF ( m1(k,i) /= 2.0 .AND. m1n < fmax(2) ) m1(k,i) = 0.0 |
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| 295 | ELSEIF ( m1n < m1z ) THEN |
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| 296 | m1(k,i) = -1.0 |
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| 297 | ELSE |
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| 298 | m1(k,i) = 0.0 |
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| 299 | ENDIF |
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| 300 | ENDDO |
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| 301 | ENDDO |
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| 302 | |
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| 303 | ! |
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| 304 | !-- Compute switch sw |
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| 305 | sw = 0.0 |
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| 306 | DO i = nxl-1, nxr+1 |
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[63] | 307 | DO k = nzb+1, nzt |
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[1] | 308 | m2 = 2.0 * ABS( a1(k,i) - a12(k,i) ) / & |
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| 309 | MAX( ABS( a1(k,i) + a12(k,i) ), 1E-35 ) |
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| 310 | IF ( ABS( a1(k,i) + a12(k,i) ) < fmax(2) ) m2 = 0.0 |
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| 311 | |
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| 312 | m3 = 2.0 * ABS( a2(k,i) - a22(k,i) ) / & |
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| 313 | MAX( ABS( a2(k,i) + a22(k,i) ), 1E-35 ) |
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| 314 | IF ( ABS( a2(k,i) + a22(k,i) ) < fmax(1) ) m3 = 0.0 |
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| 315 | |
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| 316 | t1 = 0.35 |
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| 317 | t2 = 0.35 |
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| 318 | IF ( m1(k,i) == -1.0 ) t2 = 0.12 |
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| 319 | |
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| 320 | !-- *VOCL STMT,IF(10) |
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| 321 | IF ( m1(k,i-1) == 1.0 .OR. m1(k,i) == 1.0 .OR. m1(k,i+1) == 1.0 & |
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| 322 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
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| 323 | ( m1(k,i) > t1 .AND. m1(k,i-1) /= -1.0 .AND. & |
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| 324 | m1(k,i) /= -1.0 .AND. m1(k,i+1) /= -1.0 ) & |
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| 325 | ) sw(k,i) = 1.0 |
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| 326 | ENDDO |
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| 327 | ENDDO |
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| 328 | |
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| 329 | ! |
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| 330 | !-- Fluxes using the exponential scheme |
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| 331 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
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| 332 | DO i = nxl, nxr |
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[63] | 333 | DO k = nzb+1, nzt |
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[1] | 334 | |
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| 335 | !-- *VOCL STMT,IF(10) |
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| 336 | IF ( sw(k,i) == 1.0 ) THEN |
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| 337 | snenn = sk_p(k,j,i+1) - sk_p(k,j,i-1) |
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| 338 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
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| 339 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i-1) ) / snenn |
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| 340 | sterm = MIN( sterm, 0.9999 ) |
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| 341 | sterm = MAX( sterm, 0.0001 ) |
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| 342 | |
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| 343 | ix = INT( sterm * 1000 ) + 1 |
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| 344 | |
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| 345 | cip = MAX( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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| 346 | |
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| 347 | ippe(k,i) = sk_p(k,j,i-1) * cip + snenn * ( & |
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| 348 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
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| 349 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
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| 350 | ) & |
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| 351 | ) |
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| 352 | IF ( sterm == 0.0001 ) ippe(k,i) = sk_p(k,j,i) * cip |
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| 353 | IF ( sterm == 0.9999 ) ippe(k,i) = sk_p(k,j,i) * cip |
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| 354 | |
---|
| 355 | snenn = sk_p(k,j,i-1) - sk_p(k,j,i+1) |
---|
| 356 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 357 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i+1) ) / snenn |
---|
| 358 | sterm = MIN( sterm, 0.9999 ) |
---|
| 359 | sterm = MAX( sterm, 0.0001 ) |
---|
| 360 | |
---|
| 361 | ix = INT( sterm * 1000 ) + 1 |
---|
| 362 | |
---|
| 363 | cim = -MIN( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
---|
| 364 | |
---|
| 365 | imme(k,i) = sk_p(k,j,i+1) * cim + snenn * ( & |
---|
| 366 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 367 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 368 | ) & |
---|
| 369 | ) |
---|
| 370 | IF ( sterm == 0.0001 ) imme(k,i) = sk_p(k,j,i) * cim |
---|
| 371 | IF ( sterm == 0.9999 ) imme(k,i) = sk_p(k,j,i) * cim |
---|
| 372 | ENDIF |
---|
| 373 | |
---|
| 374 | !-- *VOCL STMT,IF(10) |
---|
| 375 | IF ( sw(k,i+1) == 1.0 ) THEN |
---|
| 376 | snenn = sk_p(k,j,i) - sk_p(k,j,i+2) |
---|
| 377 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
---|
| 378 | sterm = ( sk_p(k,j,i+1) - sk_p(k,j,i+2) ) / snenn |
---|
| 379 | sterm = MIN( sterm, 0.9999 ) |
---|
| 380 | sterm = MAX( sterm, 0.0001 ) |
---|
| 381 | |
---|
| 382 | ix = INT( sterm * 1000 ) + 1 |
---|
| 383 | |
---|
| 384 | cim = -MIN( 0.0, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
---|
| 385 | |
---|
| 386 | impe(k,i) = sk_p(k,j,i+2) * cim + snenn * ( & |
---|
| 387 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 388 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 389 | ) & |
---|
| 390 | ) |
---|
| 391 | IF ( sterm == 0.0001 ) impe(k,i) = sk_p(k,j,i+1) * cim |
---|
| 392 | IF ( sterm == 0.9999 ) impe(k,i) = sk_p(k,j,i+1) * cim |
---|
| 393 | ENDIF |
---|
| 394 | |
---|
| 395 | !-- *VOCL STMT,IF(10) |
---|
| 396 | IF ( sw(k,i-1) == 1.0 ) THEN |
---|
| 397 | snenn = sk_p(k,j,i) - sk_p(k,j,i-2) |
---|
| 398 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 399 | sterm = ( sk_p(k,j,i-1) - sk_p(k,j,i-2) ) / snenn |
---|
| 400 | sterm = MIN( sterm, 0.9999 ) |
---|
| 401 | sterm = MAX( sterm, 0.0001 ) |
---|
| 402 | |
---|
| 403 | ix = INT( sterm * 1000 ) + 1 |
---|
| 404 | |
---|
| 405 | cip = MAX( 0.0, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
---|
| 406 | |
---|
| 407 | ipme(k,i) = sk_p(k,j,i-2) * cip + snenn * ( & |
---|
| 408 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 409 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
| 410 | ) & |
---|
| 411 | ) |
---|
| 412 | IF ( sterm == 0.0001 ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
| 413 | IF ( sterm == 0.9999 ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
| 414 | ENDIF |
---|
| 415 | |
---|
| 416 | ENDDO |
---|
| 417 | ENDDO |
---|
| 418 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
| 419 | |
---|
| 420 | ! |
---|
| 421 | !-- Prognostic equation |
---|
| 422 | DO i = nxl, nxr |
---|
[63] | 423 | DO k = nzb+1, nzt |
---|
[1] | 424 | fplus = ( 1.0 - sw(k,i) ) * ippb(k,i) + sw(k,i) * ippe(k,i) & |
---|
| 425 | - ( 1.0 - sw(k,i+1) ) * impb(k,i) - sw(k,i+1) * impe(k,i) |
---|
| 426 | fminus = ( 1.0 - sw(k,i-1) ) * ipmb(k,i) + sw(k,i-1) * ipme(k,i) & |
---|
| 427 | - ( 1.0 - sw(k,i) ) * immb(k,i) - sw(k,i) * imme(k,i) |
---|
| 428 | tendenz = fplus - fminus |
---|
| 429 | ! |
---|
| 430 | !-- Removed in order to optimize speed |
---|
| 431 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
| 432 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
| 433 | ! |
---|
| 434 | !-- Density correction because of possible remaining divergences |
---|
| 435 | d_new = d(k,j,i) - ( u(k,j,i+1) - u(k,j,i) ) * dt_3d * ddx |
---|
| 436 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
| 437 | ( 1.0 + d_new ) |
---|
| 438 | d(k,j,i) = d_new |
---|
| 439 | ENDDO |
---|
| 440 | ENDDO |
---|
| 441 | |
---|
| 442 | ENDDO ! End of the advection in x-direction |
---|
| 443 | |
---|
| 444 | ! |
---|
| 445 | !-- Deallocate temporary arrays |
---|
| 446 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 447 | ippb, ippe, m1, sw ) |
---|
| 448 | |
---|
| 449 | |
---|
| 450 | ! |
---|
| 451 | !-- Enlarge boundary of local array cyclically in y-direction |
---|
| 452 | #if defined( __parallel ) |
---|
[63] | 453 | ngp = ( nzt - nzb + 6 ) * ( nyn - nys + 7 ) |
---|
| 454 | CALL MPI_TYPE_VECTOR( nxr-nxl+7, 3*(nzt-nzb+6), ngp, MPI_REAL, & |
---|
[1] | 455 | type_xz_2, ierr ) |
---|
| 456 | CALL MPI_TYPE_COMMIT( type_xz_2, ierr ) |
---|
| 457 | ! |
---|
| 458 | !-- Send front boundary, receive rear boundary |
---|
| 459 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
| 460 | CALL MPI_SENDRECV( sk_p(nzb-2,nys,nxl-3), 1, type_xz_2, psouth, 0, & |
---|
| 461 | sk_p(nzb-2,nyn+1,nxl-3), 1, type_xz_2, pnorth, 0, & |
---|
| 462 | comm2d, status, ierr ) |
---|
| 463 | ! |
---|
| 464 | !-- Send rear boundary, receive front boundary |
---|
| 465 | CALL MPI_SENDRECV( sk_p(nzb-2,nyn-2,nxl-3), 1, type_xz_2, pnorth, 1, & |
---|
| 466 | sk_p(nzb-2,nys-3,nxl-3), 1, type_xz_2, psouth, 1, & |
---|
| 467 | comm2d, status, ierr ) |
---|
| 468 | CALL MPI_TYPE_FREE( type_xz_2, ierr ) |
---|
| 469 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
---|
| 470 | #else |
---|
| 471 | DO i = nxl, nxr |
---|
[63] | 472 | DO k = nzb+1, nzt |
---|
[1] | 473 | sk_p(k,nys-1,i) = sk_p(k,nyn,i) |
---|
| 474 | sk_p(k,nys-2,i) = sk_p(k,nyn-1,i) |
---|
| 475 | sk_p(k,nys-3,i) = sk_p(k,nyn-2,i) |
---|
| 476 | sk_p(k,nyn+1,i) = sk_p(k,nys,i) |
---|
| 477 | sk_p(k,nyn+2,i) = sk_p(k,nys+1,i) |
---|
| 478 | sk_p(k,nyn+3,i) = sk_p(k,nys+2,i) |
---|
| 479 | ENDDO |
---|
| 480 | ENDDO |
---|
| 481 | #endif |
---|
| 482 | |
---|
| 483 | ! |
---|
| 484 | !-- Determine the maxima of the first and second derivative in y-direction |
---|
| 485 | fmax_l = 0.0 |
---|
| 486 | DO i = nxl, nxr |
---|
| 487 | DO j = nys, nyn |
---|
[63] | 488 | DO k = nzb+1, nzt |
---|
[1] | 489 | zaehler = ABS( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
| 490 | nenner = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 491 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
---|
| 492 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
---|
| 493 | ENDDO |
---|
| 494 | ENDDO |
---|
| 495 | ENDDO |
---|
| 496 | #if defined( __parallel ) |
---|
[622] | 497 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
[1] | 498 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
| 499 | #else |
---|
| 500 | fmax = fmax_l |
---|
| 501 | #endif |
---|
| 502 | |
---|
| 503 | fmax = 0.04 * fmax |
---|
| 504 | |
---|
| 505 | ! |
---|
| 506 | !-- Allocate temporary arrays |
---|
[63] | 507 | ALLOCATE( a0(nzb+1:nzt,nys-1:nyn+1), a1(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 508 | a2(nzb+1:nzt,nys-1:nyn+1), a12(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 509 | a22(nzb+1:nzt,nys-1:nyn+1), immb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 510 | imme(nzb+1:nzt,nys-1:nyn+1), impb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 511 | impe(nzb+1:nzt,nys-1:nyn+1), ipmb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 512 | ipme(nzb+1:nzt,nys-1:nyn+1), ippb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 513 | ippe(nzb+1:nzt,nys-1:nyn+1), m1(nzb+1:nzt,nys-2:nyn+2), & |
---|
| 514 | sw(nzb+1:nzt,nys-1:nyn+1) & |
---|
[1] | 515 | ) |
---|
| 516 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
---|
| 517 | |
---|
| 518 | ! |
---|
| 519 | !-- Outer loop of all i |
---|
| 520 | DO i = nxl, nxr |
---|
| 521 | |
---|
| 522 | ! |
---|
| 523 | !-- Compute polynomial coefficients |
---|
| 524 | DO j = nys-1, nyn+1 |
---|
[63] | 525 | DO k = nzb+1, nzt |
---|
[1] | 526 | a12(k,j) = 0.5 * ( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 527 | a22(k,j) = 0.5 * ( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) & |
---|
| 528 | + sk_p(k,j-1,i) ) |
---|
| 529 | a0(k,j) = ( 9.0 * sk_p(k,j+2,i) - 116.0 * sk_p(k,j+1,i) & |
---|
| 530 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k,j-1,i) & |
---|
| 531 | + 9.0 * sk_p(k,j-2,i) ) * f1920 |
---|
| 532 | a1(k,j) = ( -5.0 * sk_p(k,j+2,i) + 34.0 * sk_p(k,j+1,i) & |
---|
| 533 | - 34.0 * sk_p(k,j-1,i) + 5.0 * sk_p(k,j-2,i) & |
---|
| 534 | ) * f48 |
---|
| 535 | a2(k,j) = ( -3.0 * sk_p(k,j+2,i) + 36.0 * sk_p(k,j+1,i) & |
---|
| 536 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k,j-1,i) & |
---|
| 537 | - 3.0 * sk_p(k,j-2,i) ) * f48 |
---|
| 538 | ENDDO |
---|
| 539 | ENDDO |
---|
| 540 | |
---|
| 541 | ! |
---|
| 542 | !-- Fluxes using the Bott scheme |
---|
| 543 | !-- *VOCL LOOP,UNROLL(2) |
---|
| 544 | DO j = nys, nyn |
---|
[63] | 545 | DO k = nzb+1, nzt |
---|
[1] | 546 | cip = MAX( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 547 | cim = -MIN( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 548 | cipf = 1.0 - 2.0 * cip |
---|
| 549 | cimf = 1.0 - 2.0 * cim |
---|
| 550 | ip = a0(k,j) * f2 * ( 1.0 - cipf ) & |
---|
| 551 | + a1(k,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
| 552 | + a2(k,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
| 553 | im = a0(k,j+1) * f2 * ( 1.0 - cimf ) & |
---|
| 554 | - a1(k,j+1) * f8 * ( 1.0 - cimf*cimf ) & |
---|
| 555 | + a2(k,j+1) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
| 556 | ip = MAX( ip, 0.0 ) |
---|
| 557 | im = MAX( im, 0.0 ) |
---|
| 558 | ippb(k,j) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
| 559 | impb(k,j) = im * MIN( 1.0, sk_p(k,j+1,i) / (ip+im+1E-15) ) |
---|
| 560 | |
---|
| 561 | cip = MAX( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 562 | cim = -MIN( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 563 | cipf = 1.0 - 2.0 * cip |
---|
| 564 | cimf = 1.0 - 2.0 * cim |
---|
| 565 | ip = a0(k,j-1) * f2 * ( 1.0 - cipf ) & |
---|
| 566 | + a1(k,j-1) * f8 * ( 1.0 - cipf*cipf ) & |
---|
| 567 | + a2(k,j-1) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
| 568 | im = a0(k,j) * f2 * ( 1.0 - cimf ) & |
---|
| 569 | - a1(k,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
| 570 | + a2(k,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
| 571 | ip = MAX( ip, 0.0 ) |
---|
| 572 | im = MAX( im, 0.0 ) |
---|
| 573 | ipmb(k,j) = ip * MIN( 1.0, sk_p(k,j-1,i) / (ip+im+1E-15) ) |
---|
| 574 | immb(k,j) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
| 575 | ENDDO |
---|
| 576 | ENDDO |
---|
| 577 | |
---|
| 578 | ! |
---|
| 579 | !-- Compute monitor function m1 |
---|
| 580 | DO j = nys-2, nyn+2 |
---|
[63] | 581 | DO k = nzb+1, nzt |
---|
[1] | 582 | m1z = ABS( sk_p(k,j+1,i) - 2.0 * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
| 583 | m1n = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 584 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
---|
| 585 | m1(k,j) = m1z / m1n |
---|
| 586 | IF ( m1(k,j) /= 2.0 .AND. m1n < fmax(2) ) m1(k,j) = 0.0 |
---|
| 587 | ELSEIF ( m1n < m1z ) THEN |
---|
| 588 | m1(k,j) = -1.0 |
---|
| 589 | ELSE |
---|
| 590 | m1(k,j) = 0.0 |
---|
| 591 | ENDIF |
---|
| 592 | ENDDO |
---|
| 593 | ENDDO |
---|
| 594 | |
---|
| 595 | ! |
---|
| 596 | !-- Compute switch sw |
---|
| 597 | sw = 0.0 |
---|
| 598 | DO j = nys-1, nyn+1 |
---|
[63] | 599 | DO k = nzb+1, nzt |
---|
[1] | 600 | m2 = 2.0 * ABS( a1(k,j) - a12(k,j) ) / & |
---|
| 601 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35 ) |
---|
| 602 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0 |
---|
| 603 | |
---|
| 604 | m3 = 2.0 * ABS( a2(k,j) - a22(k,j) ) / & |
---|
| 605 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35 ) |
---|
| 606 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0 |
---|
| 607 | |
---|
| 608 | t1 = 0.35 |
---|
| 609 | t2 = 0.35 |
---|
| 610 | IF ( m1(k,j) == -1.0 ) t2 = 0.12 |
---|
| 611 | |
---|
| 612 | !-- *VOCL STMT,IF(10) |
---|
| 613 | IF ( m1(k,j-1) == 1.0 .OR. m1(k,j) == 1.0 .OR. m1(k,j+1) == 1.0 & |
---|
| 614 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
---|
| 615 | ( m1(k,j) > t1 .AND. m1(k,j-1) /= -1.0 .AND. & |
---|
| 616 | m1(k,j) /= -1.0 .AND. m1(k,j+1) /= -1.0 ) & |
---|
| 617 | ) sw(k,j) = 1.0 |
---|
| 618 | ENDDO |
---|
| 619 | ENDDO |
---|
| 620 | |
---|
| 621 | ! |
---|
| 622 | !-- Fluxes using exponential scheme |
---|
| 623 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 624 | DO j = nys, nyn |
---|
[63] | 625 | DO k = nzb+1, nzt |
---|
[1] | 626 | |
---|
| 627 | !-- *VOCL STMT,IF(10) |
---|
| 628 | IF ( sw(k,j) == 1.0 ) THEN |
---|
| 629 | snenn = sk_p(k,j+1,i) - sk_p(k,j-1,i) |
---|
| 630 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 631 | sterm = ( sk_p(k,j,i) - sk_p(k,j-1,i) ) / snenn |
---|
| 632 | sterm = MIN( sterm, 0.9999 ) |
---|
| 633 | sterm = MAX( sterm, 0.0001 ) |
---|
| 634 | |
---|
| 635 | ix = INT( sterm * 1000 ) + 1 |
---|
| 636 | |
---|
| 637 | cip = MAX( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 638 | |
---|
| 639 | ippe(k,j) = sk_p(k,j-1,i) * cip + snenn * ( & |
---|
| 640 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 641 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
| 642 | ) & |
---|
| 643 | ) |
---|
| 644 | IF ( sterm == 0.0001 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 645 | IF ( sterm == 0.9999 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 646 | |
---|
| 647 | snenn = sk_p(k,j-1,i) - sk_p(k,j+1,i) |
---|
| 648 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 649 | sterm = ( sk_p(k,j,i) - sk_p(k,j+1,i) ) / snenn |
---|
| 650 | sterm = MIN( sterm, 0.9999 ) |
---|
| 651 | sterm = MAX( sterm, 0.0001 ) |
---|
| 652 | |
---|
| 653 | ix = INT( sterm * 1000 ) + 1 |
---|
| 654 | |
---|
| 655 | cim = -MIN( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 656 | |
---|
| 657 | imme(k,j) = sk_p(k,j+1,i) * cim + snenn * ( & |
---|
| 658 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 659 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 660 | ) & |
---|
| 661 | ) |
---|
| 662 | IF ( sterm == 0.0001 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 663 | IF ( sterm == 0.9999 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 664 | ENDIF |
---|
| 665 | |
---|
| 666 | !-- *VOCL STMT,IF(10) |
---|
| 667 | IF ( sw(k,j+1) == 1.0 ) THEN |
---|
| 668 | snenn = sk_p(k,j,i) - sk_p(k,j+2,i) |
---|
| 669 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
---|
| 670 | sterm = ( sk_p(k,j+1,i) - sk_p(k,j+2,i) ) / snenn |
---|
| 671 | sterm = MIN( sterm, 0.9999 ) |
---|
| 672 | sterm = MAX( sterm, 0.0001 ) |
---|
| 673 | |
---|
| 674 | ix = INT( sterm * 1000 ) + 1 |
---|
| 675 | |
---|
| 676 | cim = -MIN( 0.0, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 677 | |
---|
| 678 | impe(k,j) = sk_p(k,j+2,i) * cim + snenn * ( & |
---|
| 679 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 680 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 681 | ) & |
---|
| 682 | ) |
---|
| 683 | IF ( sterm == 0.0001 ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
| 684 | IF ( sterm == 0.9999 ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
| 685 | ENDIF |
---|
| 686 | |
---|
| 687 | !-- *VOCL STMT,IF(10) |
---|
| 688 | IF ( sw(k,j-1) == 1.0 ) THEN |
---|
| 689 | snenn = sk_p(k,j,i) - sk_p(k,j-2,i) |
---|
| 690 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 691 | sterm = ( sk_p(k,j-1,i) - sk_p(k,j-2,i) ) / snenn |
---|
| 692 | sterm = MIN( sterm, 0.9999 ) |
---|
| 693 | sterm = MAX( sterm, 0.0001 ) |
---|
| 694 | |
---|
| 695 | ix = INT( sterm * 1000 ) + 1 |
---|
| 696 | |
---|
| 697 | cip = MAX( 0.0, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 698 | |
---|
| 699 | ipme(k,j) = sk_p(k,j-2,i) * cip + snenn * ( & |
---|
| 700 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 701 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
| 702 | ) & |
---|
| 703 | ) |
---|
| 704 | IF ( sterm == 0.0001 ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
| 705 | IF ( sterm == 0.9999 ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
| 706 | ENDIF |
---|
| 707 | |
---|
| 708 | ENDDO |
---|
| 709 | ENDDO |
---|
| 710 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
| 711 | |
---|
| 712 | ! |
---|
| 713 | !-- Prognostic equation |
---|
| 714 | DO j = nys, nyn |
---|
[63] | 715 | DO k = nzb+1, nzt |
---|
[1] | 716 | fplus = ( 1.0 - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
| 717 | - ( 1.0 - sw(k,j+1) ) * impb(k,j) - sw(k,j+1) * impe(k,j) |
---|
| 718 | fminus = ( 1.0 - sw(k,j-1) ) * ipmb(k,j) + sw(k,j-1) * ipme(k,j) & |
---|
| 719 | - ( 1.0 - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
| 720 | tendenz = fplus - fminus |
---|
| 721 | ! |
---|
| 722 | !-- Removed in order to optimise speed |
---|
| 723 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
| 724 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
| 725 | ! |
---|
| 726 | !-- Density correction because of possible remaining divergences |
---|
| 727 | d_new = d(k,j,i) - ( v(k,j+1,i) - v(k,j,i) ) * dt_3d * ddy |
---|
| 728 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
| 729 | ( 1.0 + d_new ) |
---|
| 730 | d(k,j,i) = d_new |
---|
| 731 | ENDDO |
---|
| 732 | ENDDO |
---|
| 733 | |
---|
| 734 | ENDDO ! End of the advection in y-direction |
---|
| 735 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
| 736 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'stop' ) |
---|
| 737 | |
---|
| 738 | ! |
---|
| 739 | !-- Deallocate temporary arrays |
---|
| 740 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 741 | ippb, ippe, m1, sw ) |
---|
| 742 | |
---|
| 743 | |
---|
| 744 | ! |
---|
| 745 | !-- Initialise for the computation of heat fluxes (see below; required in |
---|
| 746 | !-- UP flow_statistics) |
---|
| 747 | IF ( sk_char == 'pt' ) sums_wsts_bc_l = 0.0 |
---|
| 748 | |
---|
| 749 | ! |
---|
| 750 | !-- Add top and bottom boundaries according to the relevant boundary conditions |
---|
| 751 | IF ( sk_char == 'pt' ) THEN |
---|
| 752 | |
---|
| 753 | ! |
---|
| 754 | !-- Temperature boundary condition at the bottom boundary |
---|
| 755 | IF ( ibc_pt_b == 0 ) THEN |
---|
| 756 | ! |
---|
| 757 | !-- Dirichlet (fixed surface temperature) |
---|
| 758 | DO i = nxl, nxr |
---|
| 759 | DO j = nys, nyn |
---|
| 760 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 761 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 762 | ENDDO |
---|
| 763 | ENDDO |
---|
| 764 | |
---|
| 765 | ELSE |
---|
| 766 | ! |
---|
| 767 | !-- Neumann (i.e. here zero gradient) |
---|
| 768 | DO i = nxl, nxr |
---|
| 769 | DO j = nys, nyn |
---|
[216] | 770 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
[63] | 771 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 772 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
[1] | 773 | ENDDO |
---|
| 774 | ENDDO |
---|
| 775 | |
---|
| 776 | ENDIF |
---|
| 777 | |
---|
| 778 | ! |
---|
| 779 | !-- Temperature boundary condition at the top boundary |
---|
[63] | 780 | IF ( ibc_pt_t == 0 .OR. ibc_pt_t == 1 ) THEN |
---|
[1] | 781 | ! |
---|
[63] | 782 | !-- Dirichlet or Neumann (zero gradient) |
---|
[1] | 783 | DO i = nxl, nxr |
---|
| 784 | DO j = nys, nyn |
---|
[63] | 785 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 786 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
[1] | 787 | ENDDO |
---|
| 788 | ENDDO |
---|
| 789 | |
---|
[63] | 790 | ELSEIF ( ibc_pt_t == 2 ) THEN |
---|
[1] | 791 | ! |
---|
[63] | 792 | !-- Neumann: dzu(nzt+2:3) are not defined, dzu(nzt+1) is used instead |
---|
[1] | 793 | DO i = nxl, nxr |
---|
| 794 | DO j = nys, nyn |
---|
| 795 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
[63] | 796 | sk_p(nzt+3,j,i) = sk_p(nzt+2,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
[1] | 797 | ENDDO |
---|
| 798 | ENDDO |
---|
| 799 | |
---|
| 800 | ENDIF |
---|
| 801 | |
---|
[97] | 802 | ELSEIF ( sk_char == 'sa' ) THEN |
---|
[1] | 803 | |
---|
| 804 | ! |
---|
[97] | 805 | !-- Salinity boundary condition at the bottom boundary. |
---|
| 806 | !-- So far, always Neumann (i.e. here zero gradient) is used |
---|
| 807 | DO i = nxl, nxr |
---|
| 808 | DO j = nys, nyn |
---|
[216] | 809 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
[97] | 810 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 811 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
[1] | 812 | ENDDO |
---|
[97] | 813 | ENDDO |
---|
[1] | 814 | |
---|
| 815 | ! |
---|
[97] | 816 | !-- Salinity boundary condition at the top boundary. |
---|
| 817 | !-- Dirichlet or Neumann (zero gradient) |
---|
| 818 | DO i = nxl, nxr |
---|
| 819 | DO j = nys, nyn |
---|
| 820 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 821 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
[1] | 822 | ENDDO |
---|
[97] | 823 | ENDDO |
---|
[1] | 824 | |
---|
[97] | 825 | ELSEIF ( sk_char == 'q' ) THEN |
---|
[1] | 826 | |
---|
| 827 | ! |
---|
[97] | 828 | !-- Specific humidity boundary condition at the bottom boundary. |
---|
| 829 | !-- Dirichlet (fixed surface humidity) or Neumann (i.e. zero gradient) |
---|
| 830 | DO i = nxl, nxr |
---|
| 831 | DO j = nys, nyn |
---|
[216] | 832 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
[97] | 833 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 834 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 835 | ENDDO |
---|
| 836 | ENDDO |
---|
| 837 | |
---|
| 838 | ! |
---|
[63] | 839 | !-- Specific humidity boundary condition at the top boundary |
---|
[1] | 840 | IF ( ibc_q_t == 0 ) THEN |
---|
| 841 | ! |
---|
| 842 | !-- Dirichlet |
---|
| 843 | DO i = nxl, nxr |
---|
| 844 | DO j = nys, nyn |
---|
[63] | 845 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 846 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
[1] | 847 | ENDDO |
---|
| 848 | ENDDO |
---|
| 849 | |
---|
| 850 | ELSE |
---|
| 851 | ! |
---|
[63] | 852 | !-- Neumann: dzu(nzt+2:3) are not defined, dzu(nzt+1) is used instead |
---|
[1] | 853 | DO i = nxl, nxr |
---|
| 854 | DO j = nys, nyn |
---|
| 855 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
[63] | 856 | sk_p(nzt+3,j,i) = sk_p(nzt+2,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
[1] | 857 | ENDDO |
---|
| 858 | ENDDO |
---|
| 859 | |
---|
| 860 | ENDIF |
---|
| 861 | |
---|
| 862 | ELSEIF ( sk_char == 'e' ) THEN |
---|
| 863 | |
---|
| 864 | ! |
---|
| 865 | !-- TKE boundary condition at bottom and top boundary (generally Neumann) |
---|
[97] | 866 | DO i = nxl, nxr |
---|
| 867 | DO j = nys, nyn |
---|
[216] | 868 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
[97] | 869 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 870 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 871 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 872 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
| 873 | ENDDO |
---|
| 874 | ENDDO |
---|
[1] | 875 | |
---|
| 876 | ELSE |
---|
| 877 | |
---|
[247] | 878 | WRITE( message_string, * ) 'no vertical boundary condi', & |
---|
[1] | 879 | 'tion for variable "', sk_char, '"' |
---|
[247] | 880 | CALL message( 'advec_s_bc', 'PA0158', 1, 2, 0, 6, 0 ) |
---|
| 881 | |
---|
[1] | 882 | ENDIF |
---|
| 883 | |
---|
| 884 | ! |
---|
| 885 | !-- Determine the maxima of the first and second derivative in z-direction |
---|
| 886 | fmax_l = 0.0 |
---|
| 887 | DO i = nxl, nxr |
---|
| 888 | DO j = nys, nyn |
---|
[63] | 889 | DO k = nzb, nzt+1 |
---|
[1] | 890 | zaehler = ABS( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
| 891 | nenner = ABS( sk_p(k+1,j,i+1) - sk_p(k-1,j,i) ) |
---|
| 892 | fmax_l(1) = MAX( fmax_l(1) , zaehler ) |
---|
| 893 | fmax_l(2) = MAX( fmax_l(2) , nenner ) |
---|
| 894 | ENDDO |
---|
| 895 | ENDDO |
---|
| 896 | ENDDO |
---|
| 897 | #if defined( __parallel ) |
---|
[622] | 898 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
[1] | 899 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
| 900 | #else |
---|
| 901 | fmax = fmax_l |
---|
| 902 | #endif |
---|
| 903 | |
---|
| 904 | fmax = 0.04 * fmax |
---|
| 905 | |
---|
| 906 | ! |
---|
| 907 | !-- Allocate temporary arrays |
---|
[63] | 908 | ALLOCATE( a0(nzb:nzt+1,nys:nyn), a1(nzb:nzt+1,nys:nyn), & |
---|
| 909 | a2(nzb:nzt+1,nys:nyn), a12(nzb:nzt+1,nys:nyn), & |
---|
| 910 | a22(nzb:nzt+1,nys:nyn), immb(nzb+1:nzt,nys:nyn), & |
---|
| 911 | imme(nzb+1:nzt,nys:nyn), impb(nzb+1:nzt,nys:nyn), & |
---|
| 912 | impe(nzb+1:nzt,nys:nyn), ipmb(nzb+1:nzt,nys:nyn), & |
---|
| 913 | ipme(nzb+1:nzt,nys:nyn), ippb(nzb+1:nzt,nys:nyn), & |
---|
| 914 | ippe(nzb+1:nzt,nys:nyn), m1(nzb-1:nzt+2,nys:nyn), & |
---|
| 915 | sw(nzb:nzt+1,nys:nyn) & |
---|
[1] | 916 | ) |
---|
| 917 | imme = 0.0; impe = 0.0; ipme = 0.0; ippe = 0.0 |
---|
| 918 | |
---|
| 919 | ! |
---|
| 920 | !-- Outer loop of all i |
---|
| 921 | DO i = nxl, nxr |
---|
| 922 | |
---|
| 923 | ! |
---|
| 924 | !-- Compute polynomial coefficients |
---|
| 925 | DO j = nys, nyn |
---|
[63] | 926 | DO k = nzb, nzt+1 |
---|
[1] | 927 | a12(k,j) = 0.5 * ( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
| 928 | a22(k,j) = 0.5 * ( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) & |
---|
| 929 | + sk_p(k-1,j,i) ) |
---|
| 930 | a0(k,j) = ( 9.0 * sk_p(k+2,j,i) - 116.0 * sk_p(k+1,j,i) & |
---|
| 931 | + 2134.0 * sk_p(k,j,i) - 116.0 * sk_p(k-1,j,i) & |
---|
| 932 | + 9.0 * sk_p(k-2,j,i) ) * f1920 |
---|
| 933 | a1(k,j) = ( -5.0 * sk_p(k+2,j,i) + 34.0 * sk_p(k+1,j,i) & |
---|
| 934 | - 34.0 * sk_p(k-1,j,i) + 5.0 * sk_p(k-2,j,i) & |
---|
| 935 | ) * f48 |
---|
| 936 | a2(k,j) = ( -3.0 * sk_p(k+2,j,i) + 36.0 * sk_p(k+1,j,i) & |
---|
| 937 | - 66.0 * sk_p(k,j,i) + 36.0 * sk_p(k-1,j,i) & |
---|
| 938 | - 3.0 * sk_p(k-2,j,i) ) * f48 |
---|
| 939 | ENDDO |
---|
| 940 | ENDDO |
---|
| 941 | |
---|
| 942 | ! |
---|
| 943 | !-- Fluxes using the Bott scheme |
---|
| 944 | !-- *VOCL LOOP,UNROLL(2) |
---|
| 945 | DO j = nys, nyn |
---|
[63] | 946 | DO k = nzb+1, nzt |
---|
[1] | 947 | cip = MAX( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 948 | cim = -MIN( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 949 | cipf = 1.0 - 2.0 * cip |
---|
| 950 | cimf = 1.0 - 2.0 * cim |
---|
| 951 | ip = a0(k,j) * f2 * ( 1.0 - cipf ) & |
---|
| 952 | + a1(k,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
| 953 | + a2(k,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
| 954 | im = a0(k+1,j) * f2 * ( 1.0 - cimf ) & |
---|
| 955 | - a1(k+1,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
| 956 | + a2(k+1,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
| 957 | ip = MAX( ip, 0.0 ) |
---|
| 958 | im = MAX( im, 0.0 ) |
---|
| 959 | ippb(k,j) = ip * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
| 960 | impb(k,j) = im * MIN( 1.0, sk_p(k+1,j,i) / (ip+im+1E-15) ) |
---|
| 961 | |
---|
| 962 | cip = MAX( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 963 | cim = -MIN( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 964 | cipf = 1.0 - 2.0 * cip |
---|
| 965 | cimf = 1.0 - 2.0 * cim |
---|
| 966 | ip = a0(k-1,j) * f2 * ( 1.0 - cipf ) & |
---|
| 967 | + a1(k-1,j) * f8 * ( 1.0 - cipf*cipf ) & |
---|
| 968 | + a2(k-1,j) * f24 * ( 1.0 - cipf*cipf*cipf ) |
---|
| 969 | im = a0(k,j) * f2 * ( 1.0 - cimf ) & |
---|
| 970 | - a1(k,j) * f8 * ( 1.0 - cimf*cimf ) & |
---|
| 971 | + a2(k,j) * f24 * ( 1.0 - cimf*cimf*cimf ) |
---|
| 972 | ip = MAX( ip, 0.0 ) |
---|
| 973 | im = MAX( im, 0.0 ) |
---|
| 974 | ipmb(k,j) = ip * MIN( 1.0, sk_p(k-1,j,i) / (ip+im+1E-15) ) |
---|
| 975 | immb(k,j) = im * MIN( 1.0, sk_p(k,j,i) / (ip+im+1E-15) ) |
---|
| 976 | ENDDO |
---|
| 977 | ENDDO |
---|
| 978 | |
---|
| 979 | ! |
---|
| 980 | !-- Compute monitor function m1 |
---|
| 981 | DO j = nys, nyn |
---|
[63] | 982 | DO k = nzb-1, nzt+2 |
---|
[1] | 983 | m1z = ABS( sk_p(k+1,j,i) - 2.0 * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
| 984 | m1n = ABS( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
| 985 | IF ( m1n /= 0.0 .AND. m1n >= m1z ) THEN |
---|
| 986 | m1(k,j) = m1z / m1n |
---|
| 987 | IF ( m1(k,j) /= 2.0 .AND. m1n < fmax(2) ) m1(k,j) = 0.0 |
---|
| 988 | ELSEIF ( m1n < m1z ) THEN |
---|
| 989 | m1(k,j) = -1.0 |
---|
| 990 | ELSE |
---|
| 991 | m1(k,j) = 0.0 |
---|
| 992 | ENDIF |
---|
| 993 | ENDDO |
---|
| 994 | ENDDO |
---|
| 995 | |
---|
| 996 | ! |
---|
| 997 | !-- Compute switch sw |
---|
| 998 | sw = 0.0 |
---|
| 999 | DO j = nys, nyn |
---|
[63] | 1000 | DO k = nzb, nzt+1 |
---|
[1] | 1001 | m2 = 2.0 * ABS( a1(k,j) - a12(k,j) ) / & |
---|
| 1002 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35 ) |
---|
| 1003 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0 |
---|
| 1004 | |
---|
| 1005 | m3 = 2.0 * ABS( a2(k,j) - a22(k,j) ) / & |
---|
| 1006 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35 ) |
---|
| 1007 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0 |
---|
| 1008 | |
---|
| 1009 | t1 = 0.35 |
---|
| 1010 | t2 = 0.35 |
---|
| 1011 | IF ( m1(k,j) == -1.0 ) t2 = 0.12 |
---|
| 1012 | |
---|
| 1013 | !-- *VOCL STMT,IF(10) |
---|
| 1014 | IF ( m1(k-1,j) == 1.0 .OR. m1(k,j) == 1.0 .OR. m1(k+1,j) == 1.0 & |
---|
| 1015 | .OR. m2 > t2 .OR. m3 > T2 .OR. & |
---|
| 1016 | ( m1(k,j) > t1 .AND. m1(k-1,j) /= -1.0 .AND. & |
---|
| 1017 | m1(k,j) /= -1.0 .AND. m1(k+1,j) /= -1.0 ) & |
---|
| 1018 | ) sw(k,j) = 1.0 |
---|
| 1019 | ENDDO |
---|
| 1020 | ENDDO |
---|
| 1021 | |
---|
| 1022 | ! |
---|
| 1023 | !-- Fluxes using exponential scheme |
---|
| 1024 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 1025 | DO j = nys, nyn |
---|
[63] | 1026 | DO k = nzb+1, nzt |
---|
[1] | 1027 | |
---|
| 1028 | !-- *VOCL STMT,IF(10) |
---|
| 1029 | IF ( sw(k,j) == 1.0 ) THEN |
---|
| 1030 | snenn = sk_p(k+1,j,i) - sk_p(k-1,j,i) |
---|
| 1031 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 1032 | sterm = ( sk_p(k,j,i) - sk_p(k-1,j,i) ) / snenn |
---|
| 1033 | sterm = MIN( sterm, 0.9999 ) |
---|
| 1034 | sterm = MAX( sterm, 0.0001 ) |
---|
| 1035 | |
---|
| 1036 | ix = INT( sterm * 1000 ) + 1 |
---|
| 1037 | |
---|
| 1038 | cip = MAX( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 1039 | |
---|
| 1040 | ippe(k,j) = sk_p(k-1,j,i) * cip + snenn * ( & |
---|
| 1041 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 1042 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
| 1043 | ) & |
---|
| 1044 | ) |
---|
| 1045 | IF ( sterm == 0.0001 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 1046 | IF ( sterm == 0.9999 ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 1047 | |
---|
| 1048 | snenn = sk_p(k-1,j,i) - sk_p(k+1,j,i) |
---|
| 1049 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 1050 | sterm = ( sk_p(k,j,i) - sk_p(k+1,j,i) ) / snenn |
---|
| 1051 | sterm = MIN( sterm, 0.9999 ) |
---|
| 1052 | sterm = MAX( sterm, 0.0001 ) |
---|
| 1053 | |
---|
| 1054 | ix = INT( sterm * 1000 ) + 1 |
---|
| 1055 | |
---|
| 1056 | cim = -MIN( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 1057 | |
---|
| 1058 | imme(k,j) = sk_p(k+1,j,i) * cim + snenn * ( & |
---|
| 1059 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 1060 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 1061 | ) & |
---|
| 1062 | ) |
---|
| 1063 | IF ( sterm == 0.0001 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 1064 | IF ( sterm == 0.9999 ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 1065 | ENDIF |
---|
| 1066 | |
---|
| 1067 | !-- *VOCL STMT,IF(10) |
---|
| 1068 | IF ( sw(k+1,j) == 1.0 ) THEN |
---|
| 1069 | snenn = sk_p(k,j,i) - sk_p(k+2,j,i) |
---|
| 1070 | IF ( ABS( snenn ) .LT. 1E-9 ) snenn = 1E-9 |
---|
| 1071 | sterm = ( sk_p(k+1,j,i) - sk_p(k+2,j,i) ) / snenn |
---|
| 1072 | sterm = MIN( sterm, 0.9999 ) |
---|
| 1073 | sterm = MAX( sterm, 0.0001 ) |
---|
| 1074 | |
---|
| 1075 | ix = INT( sterm * 1000 ) + 1 |
---|
| 1076 | |
---|
| 1077 | cim = -MIN( 0.0, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 1078 | |
---|
| 1079 | impe(k,j) = sk_p(k+2,j,i) * cim + snenn * ( & |
---|
| 1080 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 1081 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cim ) ) & |
---|
| 1082 | ) & |
---|
| 1083 | ) |
---|
| 1084 | IF ( sterm == 0.0001 ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
| 1085 | IF ( sterm == 0.9999 ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
| 1086 | ENDIF |
---|
| 1087 | |
---|
| 1088 | !-- *VOCL STMT,IF(10) |
---|
| 1089 | IF ( sw(k-1,j) == 1.0 ) THEN |
---|
| 1090 | snenn = sk_p(k,j,i) - sk_p(k-2,j,i) |
---|
| 1091 | IF ( ABS( snenn ) < 1E-9 ) snenn = 1E-9 |
---|
| 1092 | sterm = ( sk_p(k-1,j,i) - sk_p(k-2,j,i) ) / snenn |
---|
| 1093 | sterm = MIN( sterm, 0.9999 ) |
---|
| 1094 | sterm = MAX( sterm, 0.0001 ) |
---|
| 1095 | |
---|
| 1096 | ix = INT( sterm * 1000 ) + 1 |
---|
| 1097 | |
---|
| 1098 | cip = MAX( 0.0, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 1099 | |
---|
| 1100 | ipme(k,j) = sk_p(k-2,j,i) * cip + snenn * ( & |
---|
| 1101 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 1102 | eex(ix) - EXP( dex(ix)*0.5 * ( 1.0 - 2.0 * cip ) ) & |
---|
| 1103 | ) & |
---|
| 1104 | ) |
---|
| 1105 | IF ( sterm == 0.0001 ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
| 1106 | IF ( sterm == 0.9999 ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
| 1107 | ENDIF |
---|
| 1108 | |
---|
| 1109 | ENDDO |
---|
| 1110 | ENDDO |
---|
| 1111 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
| 1112 | |
---|
| 1113 | ! |
---|
| 1114 | !-- Prognostic equation |
---|
| 1115 | DO j = nys, nyn |
---|
[63] | 1116 | DO k = nzb+1, nzt |
---|
[1] | 1117 | fplus = ( 1.0 - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
| 1118 | - ( 1.0 - sw(k+1,j) ) * impb(k,j) - sw(k+1,j) * impe(k,j) |
---|
| 1119 | fminus = ( 1.0 - sw(k-1,j) ) * ipmb(k,j) + sw(k-1,j) * ipme(k,j) & |
---|
| 1120 | - ( 1.0 - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
| 1121 | tendenz = fplus - fminus |
---|
| 1122 | ! |
---|
| 1123 | !-- Removed in order to optimise speed |
---|
| 1124 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35 ) |
---|
| 1125 | ! IF ( ( ABS( tendenz ) / ffmax ) < 1E-7 ) tendenz = 0.0 |
---|
| 1126 | ! |
---|
| 1127 | !-- Density correction because of possible remaining divergences |
---|
| 1128 | d_new = d(k,j,i) - ( w(k,j,i) - w(k-1,j,i) ) * dt_3d * ddzw(k) |
---|
| 1129 | sk_p(k,j,i) = ( ( 1.0 + d(k,j,i) ) * sk_p(k,j,i) - tendenz ) / & |
---|
| 1130 | ( 1.0 + d_new ) |
---|
| 1131 | ! |
---|
| 1132 | !-- Store heat flux for subsequent statistics output. |
---|
| 1133 | !-- array m1 is here used as temporary storage |
---|
| 1134 | m1(k,j) = fplus / dt_3d * dzw(k) |
---|
| 1135 | ENDDO |
---|
| 1136 | ENDDO |
---|
| 1137 | |
---|
| 1138 | ! |
---|
| 1139 | !-- Sum up heat flux in order to order to obtain horizontal averages |
---|
| 1140 | IF ( sk_char == 'pt' ) THEN |
---|
| 1141 | DO sr = 0, statistic_regions |
---|
| 1142 | DO j = nys, nyn |
---|
[63] | 1143 | DO k = nzb+1, nzt |
---|
[1] | 1144 | sums_wsts_bc_l(k,sr) = sums_wsts_bc_l(k,sr) + & |
---|
| 1145 | m1(k,j) * rmask(j,i,sr) |
---|
| 1146 | ENDDO |
---|
| 1147 | ENDDO |
---|
| 1148 | ENDDO |
---|
| 1149 | ENDIF |
---|
| 1150 | |
---|
| 1151 | ENDDO ! End of the advection in z-direction |
---|
| 1152 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 1153 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'stop' ) |
---|
| 1154 | |
---|
| 1155 | ! |
---|
| 1156 | !-- Deallocate temporary arrays |
---|
| 1157 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 1158 | ippb, ippe, m1, sw ) |
---|
| 1159 | |
---|
| 1160 | ! |
---|
| 1161 | !-- Store results as tendency and deallocate local array |
---|
| 1162 | DO i = nxl, nxr |
---|
| 1163 | DO j = nys, nyn |
---|
[63] | 1164 | DO k = nzb+1, nzt |
---|
[1] | 1165 | tend(k,j,i) = tend(k,j,i) + ( sk_p(k,j,i) - sk(k,j,i) ) / dt_3d |
---|
| 1166 | ENDDO |
---|
| 1167 | ENDDO |
---|
| 1168 | ENDDO |
---|
| 1169 | |
---|
| 1170 | DEALLOCATE( sk_p ) |
---|
| 1171 | |
---|
| 1172 | END SUBROUTINE advec_s_bc |
---|