[1517] | 1 | MODULE advec_s_bc_mod |
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[1] | 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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[1517] | 22 | ! interface added to advec_s_bc |
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[1354] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: advec_s_bc.f90 1517 2015-01-07 19:12:25Z hoffmann $ |
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| 27 | ! |
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[1375] | 28 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 29 | ! missing variables added to ONLY list |
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| 30 | ! |
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[1362] | 31 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 32 | ! nr and qr added |
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| 33 | ! |
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[1354] | 34 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 35 | ! REAL constants provided with KIND-attribute |
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| 36 | ! |
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[1347] | 37 | ! 1346 2014-03-27 13:18:20Z heinze |
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| 38 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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| 39 | ! intrinsic function like MAX, MIN, SIGN |
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| 40 | ! |
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[1321] | 41 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 42 | ! ONLY-attribute added to USE-statements, |
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| 43 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 44 | ! kinds are defined in new module kinds, |
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| 45 | ! revision history before 2012 removed, |
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| 46 | ! comment fields (!:) to be used for variable explanations added to |
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| 47 | ! all variable declaration statements |
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[1] | 48 | ! |
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[1319] | 49 | ! 1318 2014-03-17 13:35:16Z raasch |
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| 50 | ! module interfaces removed |
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| 51 | ! |
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[1093] | 52 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 53 | ! unused variables removed |
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| 54 | ! |
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[1037] | 55 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 56 | ! code put under GPL (PALM 3.9) |
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| 57 | ! |
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[1011] | 58 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 59 | ! cpp switch __nopointer added for pointer free version |
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| 60 | ! |
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[1] | 61 | ! Revision 1.1 1997/08/29 08:53:46 raasch |
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| 62 | ! Initial revision |
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| 63 | ! |
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| 64 | ! |
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| 65 | ! Description: |
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| 66 | ! ------------ |
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| 67 | ! Advection term for scalar quantities using the Bott-Chlond scheme. |
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| 68 | ! Computation in individual steps for each of the three dimensions. |
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| 69 | ! Limiting assumptions: |
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| 70 | ! So far the scheme has been assuming equidistant grid spacing. As this is not |
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| 71 | ! the case in the stretched portion of the z-direction, there dzw(k) is used as |
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| 72 | ! a substitute for a constant grid length. This certainly causes incorrect |
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| 73 | ! results; however, it is hoped that they are not too apparent for weakly |
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| 74 | ! stretched grids. |
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| 75 | ! NOTE: This is a provisional, non-optimised version! |
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[63] | 76 | !------------------------------------------------------------------------------! |
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[1] | 77 | |
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[1517] | 78 | PRIVATE |
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| 79 | PUBLIC advec_s_bc |
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[1320] | 80 | |
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[1517] | 81 | INTERFACE advec_s_bc |
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| 82 | MODULE PROCEDURE advec_s_bc |
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| 83 | END INTERFACE advec_s_bc |
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[1320] | 84 | |
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[1517] | 85 | CONTAINS |
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[1320] | 86 | |
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[1517] | 87 | SUBROUTINE advec_s_bc( sk, sk_char ) |
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[1320] | 88 | |
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[1517] | 89 | USE advection, & |
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| 90 | ONLY: aex, bex, dex, eex |
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[1320] | 91 | |
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[1517] | 92 | USE arrays_3d, & |
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| 93 | ONLY: d, ddzw, dzu, dzw, tend, u, v, w |
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[1320] | 94 | |
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[1517] | 95 | USE control_parameters, & |
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| 96 | ONLY: dt_3d, bc_pt_t_val, bc_q_t_val, ibc_pt_b, ibc_pt_t, ibc_q_t, & |
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| 97 | message_string, pt_slope_offset, sloping_surface, u_gtrans, & |
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| 98 | v_gtrans |
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[1320] | 99 | |
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[1517] | 100 | USE cpulog, & |
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| 101 | ONLY: cpu_log, log_point_s |
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[1] | 102 | |
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[1517] | 103 | USE grid_variables, & |
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| 104 | ONLY: ddx, ddy |
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[1320] | 105 | |
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[1517] | 106 | USE indices, & |
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| 107 | ONLY: nx, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt |
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[1320] | 108 | |
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[1517] | 109 | USE kinds |
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[1] | 110 | |
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[1517] | 111 | USE pegrid |
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[1] | 112 | |
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[1517] | 113 | USE statistics, & |
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| 114 | ONLY: rmask, statistic_regions, sums_wsts_bc_l |
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[1] | 115 | |
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[1320] | 116 | |
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[1517] | 117 | IMPLICIT NONE |
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| 118 | |
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| 119 | CHARACTER (LEN=*) :: sk_char !: |
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| 120 | |
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| 121 | INTEGER(iwp) :: i !: |
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| 122 | INTEGER(iwp) :: ix !: |
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| 123 | INTEGER(iwp) :: j !: |
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| 124 | INTEGER(iwp) :: k !: |
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| 125 | INTEGER(iwp) :: ngp !: |
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| 126 | INTEGER(iwp) :: sr !: |
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| 127 | INTEGER(iwp) :: type_xz_2 !: |
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| 128 | |
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| 129 | REAL(wp) :: cim !: |
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| 130 | REAL(wp) :: cimf !: |
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| 131 | REAL(wp) :: cip !: |
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| 132 | REAL(wp) :: cipf !: |
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| 133 | REAL(wp) :: d_new !: |
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| 134 | REAL(wp) :: denomi !: denominator |
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| 135 | REAL(wp) :: fminus !: |
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| 136 | REAL(wp) :: fplus !: |
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| 137 | REAL(wp) :: f2 !: |
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| 138 | REAL(wp) :: f4 !: |
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| 139 | REAL(wp) :: f8 !: |
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| 140 | REAL(wp) :: f12 !: |
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| 141 | REAL(wp) :: f24 !: |
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| 142 | REAL(wp) :: f48 !: |
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| 143 | REAL(wp) :: f1920 !: |
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| 144 | REAL(wp) :: im !: |
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| 145 | REAL(wp) :: ip !: |
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| 146 | REAL(wp) :: m2 !: |
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| 147 | REAL(wp) :: m3 !: |
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| 148 | REAL(wp) :: numera !: numerator |
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| 149 | REAL(wp) :: snenn !: |
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| 150 | REAL(wp) :: sterm !: |
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| 151 | REAL(wp) :: tendcy !: |
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| 152 | REAL(wp) :: t1 !: |
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| 153 | REAL(wp) :: t2 !: |
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| 154 | |
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| 155 | REAL(wp) :: fmax(2) !: |
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| 156 | REAL(wp) :: fmax_l(2) !: |
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| 157 | |
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[1010] | 158 | #if defined( __nopointer ) |
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[1517] | 159 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !: |
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[1010] | 160 | #else |
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[1517] | 161 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk |
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[1010] | 162 | #endif |
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[1] | 163 | |
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[1517] | 164 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: a0 !: |
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| 165 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: a1 !: |
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| 166 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: a12 !: |
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| 167 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: a2 !: |
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| 168 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: a22 !: |
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| 169 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: immb !: |
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| 170 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: imme !: |
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| 171 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: impb !: |
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| 172 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: impe !: |
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| 173 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ipmb !: |
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| 174 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ipme !: |
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| 175 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ippb !: |
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| 176 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ippe !: |
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| 177 | |
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| 178 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: sk_p !: |
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[1] | 179 | |
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[63] | 180 | #if defined( __nec ) |
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[1517] | 181 | REAL(sp) :: m1n, m1z !Wichtig: Division !: |
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| 182 | REAL(sp), DIMENSION(:,:), ALLOCATABLE :: m1, sw !: |
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[1] | 183 | #else |
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[1517] | 184 | REAL(wp) :: m1n, m1z |
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| 185 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: m1, sw |
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[1] | 186 | #endif |
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| 187 | |
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| 188 | |
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| 189 | ! |
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[1517] | 190 | !-- Array sk_p requires 2 extra elements for each dimension |
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| 191 | ALLOCATE( sk_p(nzb-2:nzt+3,nys-3:nyn+3,nxl-3:nxr+3) ) |
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| 192 | sk_p = 0.0_wp |
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[1] | 193 | |
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| 194 | ! |
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[1517] | 195 | !-- Assign reciprocal values in order to avoid divisions later |
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| 196 | f2 = 0.5_wp |
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| 197 | f4 = 0.25_wp |
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| 198 | f8 = 0.125_wp |
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| 199 | f12 = 0.8333333333333333E-01_wp |
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| 200 | f24 = 0.4166666666666666E-01_wp |
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| 201 | f48 = 0.2083333333333333E-01_wp |
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| 202 | f1920 = 0.5208333333333333E-03_wp |
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[1] | 203 | |
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| 204 | ! |
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[1517] | 205 | !-- Advection in x-direction: |
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[1] | 206 | |
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| 207 | ! |
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[1517] | 208 | !-- Save the quantity to be advected in a local array |
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| 209 | !-- add an enlarged boundary in x-direction |
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| 210 | DO i = nxl-1, nxr+1 |
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| 211 | DO j = nys, nyn |
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| 212 | DO k = nzb, nzt+1 |
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| 213 | sk_p(k,j,i) = sk(k,j,i) |
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| 214 | ENDDO |
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[1] | 215 | ENDDO |
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| 216 | ENDDO |
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| 217 | #if defined( __parallel ) |
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[1517] | 218 | ngp = 2 * ( nzt - nzb + 6 ) * ( nyn - nys + 7 ) |
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| 219 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'start' ) |
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[1] | 220 | ! |
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[1517] | 221 | !-- Send left boundary, receive right boundary |
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| 222 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxl+1), ngp, MPI_REAL, pleft, 0, & |
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| 223 | sk_p(nzb-2,nys-3,nxr+2), ngp, MPI_REAL, pright, 0, & |
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| 224 | comm2d, status, ierr ) |
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[1] | 225 | ! |
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[1517] | 226 | !-- Send right boundary, receive left boundary |
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| 227 | CALL MPI_SENDRECV( sk_p(nzb-2,nys-3,nxr-2), ngp, MPI_REAL, pright, 1, & |
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| 228 | sk_p(nzb-2,nys-3,nxl-3), ngp, MPI_REAL, pleft, 1, & |
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| 229 | comm2d, status, ierr ) |
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| 230 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
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[1] | 231 | #else |
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| 232 | |
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| 233 | ! |
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[1517] | 234 | !-- Cyclic boundary conditions |
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| 235 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxr-2) |
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| 236 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxr-1) |
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| 237 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxl+1) |
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| 238 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxl+2) |
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[1] | 239 | #endif |
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| 240 | |
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| 241 | ! |
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[1517] | 242 | !-- In case of a sloping surface, the additional gridpoints in x-direction |
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| 243 | !-- of the temperature field at the left and right boundary of the total |
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| 244 | !-- domain must be adjusted by the temperature difference between this distance |
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| 245 | IF ( sloping_surface .AND. sk_char == 'pt' ) THEN |
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| 246 | IF ( nxl == 0 ) THEN |
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| 247 | sk_p(:,nys:nyn,nxl-3) = sk_p(:,nys:nyn,nxl-3) - pt_slope_offset |
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| 248 | sk_p(:,nys:nyn,nxl-2) = sk_p(:,nys:nyn,nxl-2) - pt_slope_offset |
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| 249 | ENDIF |
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| 250 | IF ( nxr == nx ) THEN |
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| 251 | sk_p(:,nys:nyn,nxr+2) = sk_p(:,nys:nyn,nxr+2) + pt_slope_offset |
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| 252 | sk_p(:,nys:nyn,nxr+3) = sk_p(:,nys:nyn,nxr+3) + pt_slope_offset |
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| 253 | ENDIF |
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[1] | 254 | ENDIF |
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| 255 | |
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| 256 | ! |
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[1517] | 257 | !-- Initialise control density |
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| 258 | d = 0.0_wp |
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[1] | 259 | |
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| 260 | ! |
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[1517] | 261 | !-- Determine maxima of the first and second derivative in x-direction |
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| 262 | fmax_l = 0.0_wp |
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| 263 | DO i = nxl, nxr |
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| 264 | DO j = nys, nyn |
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| 265 | DO k = nzb+1, nzt |
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| 266 | numera = ABS( sk_p(k,j,i+1) - 2.0_wp * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
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| 267 | denomi = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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| 268 | fmax_l(1) = MAX( fmax_l(1) , numera ) |
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| 269 | fmax_l(2) = MAX( fmax_l(2) , denomi ) |
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| 270 | ENDDO |
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[1] | 271 | ENDDO |
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| 272 | ENDDO |
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| 273 | #if defined( __parallel ) |
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[1517] | 274 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 275 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
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[1] | 276 | #else |
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[1517] | 277 | fmax = fmax_l |
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[1] | 278 | #endif |
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| 279 | |
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[1517] | 280 | fmax = 0.04_wp * fmax |
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[1] | 281 | |
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| 282 | ! |
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[1517] | 283 | !-- Allocate temporary arrays |
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| 284 | ALLOCATE( a0(nzb+1:nzt,nxl-1:nxr+1), a1(nzb+1:nzt,nxl-1:nxr+1), & |
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| 285 | a2(nzb+1:nzt,nxl-1:nxr+1), a12(nzb+1:nzt,nxl-1:nxr+1), & |
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| 286 | a22(nzb+1:nzt,nxl-1:nxr+1), immb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 287 | imme(nzb+1:nzt,nxl-1:nxr+1), impb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 288 | impe(nzb+1:nzt,nxl-1:nxr+1), ipmb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 289 | ipme(nzb+1:nzt,nxl-1:nxr+1), ippb(nzb+1:nzt,nxl-1:nxr+1), & |
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| 290 | ippe(nzb+1:nzt,nxl-1:nxr+1), m1(nzb+1:nzt,nxl-2:nxr+2), & |
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| 291 | sw(nzb+1:nzt,nxl-1:nxr+1) & |
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| 292 | ) |
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| 293 | imme = 0.0_wp; impe = 0.0_wp; ipme = 0.0_wp; ippe = 0.0_wp |
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[1] | 294 | |
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| 295 | ! |
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[1517] | 296 | !-- Initialise point of time measuring of the exponential portion (this would |
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| 297 | !-- not work if done locally within the loop) |
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| 298 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'start' ) |
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| 299 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
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[1] | 300 | |
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| 301 | ! |
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[1517] | 302 | !-- Outer loop of all j |
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| 303 | DO j = nys, nyn |
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[1] | 304 | |
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| 305 | ! |
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[1517] | 306 | !-- Compute polynomial coefficients |
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| 307 | DO i = nxl-1, nxr+1 |
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| 308 | DO k = nzb+1, nzt |
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| 309 | a12(k,i) = 0.5_wp * ( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
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| 310 | a22(k,i) = 0.5_wp * ( sk_p(k,j,i+1) - 2.0_wp * sk_p(k,j,i) & |
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| 311 | + sk_p(k,j,i-1) ) |
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| 312 | a0(k,i) = ( 9.0_wp * sk_p(k,j,i+2) - 116.0_wp * sk_p(k,j,i+1) & |
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| 313 | + 2134.0_wp * sk_p(k,j,i) - 116.0_wp * sk_p(k,j,i-1) & |
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| 314 | + 9.0_wp * sk_p(k,j,i-2) ) * f1920 |
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| 315 | a1(k,i) = ( -5.0_wp * sk_p(k,j,i+2) + 34.0_wp * sk_p(k,j,i+1) & |
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| 316 | - 34.0_wp * sk_p(k,j,i-1) + 5.0_wp * sk_p(k,j,i-2) & |
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| 317 | ) * f48 |
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| 318 | a2(k,i) = ( -3.0_wp * sk_p(k,j,i+2) + 36.0_wp * sk_p(k,j,i+1) & |
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| 319 | - 66.0_wp * sk_p(k,j,i) + 36.0_wp * sk_p(k,j,i-1) & |
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| 320 | - 3.0_wp * sk_p(k,j,i-2) ) * f48 |
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| 321 | ENDDO |
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[1] | 322 | ENDDO |
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| 323 | |
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| 324 | ! |
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[1517] | 325 | !-- Fluxes using the Bott scheme |
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| 326 | !-- *VOCL LOOP,UNROLL(2) |
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| 327 | DO i = nxl, nxr |
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| 328 | DO k = nzb+1, nzt |
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| 329 | cip = MAX( 0.0_wp, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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| 330 | cim = -MIN( 0.0_wp, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
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| 331 | cipf = 1.0_wp - 2.0_wp * cip |
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| 332 | cimf = 1.0_wp - 2.0_wp * cim |
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| 333 | ip = a0(k,i) * f2 * ( 1.0_wp - cipf ) & |
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| 334 | + a1(k,i) * f8 * ( 1.0_wp - cipf*cipf ) & |
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| 335 | + a2(k,i) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
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| 336 | im = a0(k,i+1) * f2 * ( 1.0_wp - cimf ) & |
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| 337 | - a1(k,i+1) * f8 * ( 1.0_wp - cimf*cimf ) & |
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| 338 | + a2(k,i+1) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
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| 339 | ip = MAX( ip, 0.0_wp ) |
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| 340 | im = MAX( im, 0.0_wp ) |
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| 341 | ippb(k,i) = ip * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
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| 342 | impb(k,i) = im * MIN( 1.0_wp, sk_p(k,j,i+1) / (ip+im+1E-15_wp) ) |
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[1] | 343 | |
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[1517] | 344 | cip = MAX( 0.0_wp, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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| 345 | cim = -MIN( 0.0_wp, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
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| 346 | cipf = 1.0_wp - 2.0_wp * cip |
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| 347 | cimf = 1.0_wp - 2.0_wp * cim |
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| 348 | ip = a0(k,i-1) * f2 * ( 1.0_wp - cipf ) & |
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| 349 | + a1(k,i-1) * f8 * ( 1.0_wp - cipf*cipf ) & |
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| 350 | + a2(k,i-1) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
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| 351 | im = a0(k,i) * f2 * ( 1.0_wp - cimf ) & |
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| 352 | - a1(k,i) * f8 * ( 1.0_wp - cimf*cimf ) & |
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| 353 | + a2(k,i) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
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| 354 | ip = MAX( ip, 0.0_wp ) |
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| 355 | im = MAX( im, 0.0_wp ) |
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| 356 | ipmb(k,i) = ip * MIN( 1.0_wp, sk_p(k,j,i-1) / (ip+im+1E-15_wp) ) |
---|
| 357 | immb(k,i) = im * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
---|
| 358 | ENDDO |
---|
[1] | 359 | ENDDO |
---|
| 360 | |
---|
| 361 | ! |
---|
[1517] | 362 | !-- Compute monitor function m1 |
---|
| 363 | DO i = nxl-2, nxr+2 |
---|
| 364 | DO k = nzb+1, nzt |
---|
| 365 | m1z = ABS( sk_p(k,j,i+1) - 2.0_wp * sk_p(k,j,i) + sk_p(k,j,i-1) ) |
---|
| 366 | m1n = ABS( sk_p(k,j,i+1) - sk_p(k,j,i-1) ) |
---|
| 367 | IF ( m1n /= 0.0_wp .AND. m1n >= m1z ) THEN |
---|
| 368 | m1(k,i) = m1z / m1n |
---|
| 369 | IF ( m1(k,i) /= 2.0_wp .AND. m1n < fmax(2) ) m1(k,i) = 0.0_wp |
---|
| 370 | ELSEIF ( m1n < m1z ) THEN |
---|
| 371 | m1(k,i) = -1.0_wp |
---|
| 372 | ELSE |
---|
| 373 | m1(k,i) = 0.0_wp |
---|
| 374 | ENDIF |
---|
| 375 | ENDDO |
---|
[1] | 376 | ENDDO |
---|
| 377 | |
---|
| 378 | ! |
---|
[1517] | 379 | !-- Compute switch sw |
---|
| 380 | sw = 0.0_wp |
---|
| 381 | DO i = nxl-1, nxr+1 |
---|
| 382 | DO k = nzb+1, nzt |
---|
| 383 | m2 = 2.0_wp * ABS( a1(k,i) - a12(k,i) ) / & |
---|
| 384 | MAX( ABS( a1(k,i) + a12(k,i) ), 1E-35_wp ) |
---|
| 385 | IF ( ABS( a1(k,i) + a12(k,i) ) < fmax(2) ) m2 = 0.0_wp |
---|
[1] | 386 | |
---|
[1517] | 387 | m3 = 2.0_wp * ABS( a2(k,i) - a22(k,i) ) / & |
---|
| 388 | MAX( ABS( a2(k,i) + a22(k,i) ), 1E-35_wp ) |
---|
| 389 | IF ( ABS( a2(k,i) + a22(k,i) ) < fmax(1) ) m3 = 0.0_wp |
---|
[1] | 390 | |
---|
[1517] | 391 | t1 = 0.35_wp |
---|
| 392 | t2 = 0.35_wp |
---|
| 393 | IF ( m1(k,i) == -1.0_wp ) t2 = 0.12_wp |
---|
[1] | 394 | |
---|
[1517] | 395 | !-- *VOCL STMT,IF(10) |
---|
| 396 | IF ( m1(k,i-1) == 1.0_wp .OR. m1(k,i) == 1.0_wp & |
---|
| 397 | .OR. m1(k,i+1) == 1.0_wp .OR. m2 > t2 .OR. m3 > t2 .OR. & |
---|
| 398 | ( m1(k,i) > t1 .AND. m1(k,i-1) /= -1.0_wp .AND. & |
---|
| 399 | m1(k,i) /= -1.0_wp .AND. m1(k,i+1) /= -1.0_wp ) & |
---|
| 400 | ) sw(k,i) = 1.0_wp |
---|
| 401 | ENDDO |
---|
[1] | 402 | ENDDO |
---|
| 403 | |
---|
| 404 | ! |
---|
[1517] | 405 | !-- Fluxes using the exponential scheme |
---|
| 406 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 407 | DO i = nxl, nxr |
---|
| 408 | DO k = nzb+1, nzt |
---|
[1] | 409 | |
---|
[1517] | 410 | !-- *VOCL STMT,IF(10) |
---|
| 411 | IF ( sw(k,i) == 1.0_wp ) THEN |
---|
| 412 | snenn = sk_p(k,j,i+1) - sk_p(k,j,i-1) |
---|
| 413 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 414 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i-1) ) / snenn |
---|
| 415 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 416 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 417 | |
---|
[1517] | 418 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 419 | |
---|
[1517] | 420 | cip = MAX( 0.0_wp, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
---|
[1] | 421 | |
---|
[1517] | 422 | ippe(k,i) = sk_p(k,j,i-1) * cip + snenn * ( & |
---|
| 423 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 424 | eex(ix) - & |
---|
| 425 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 426 | ) & |
---|
| 427 | ) |
---|
| 428 | IF ( sterm == 0.0001_wp ) ippe(k,i) = sk_p(k,j,i) * cip |
---|
| 429 | IF ( sterm == 0.9999_wp ) ippe(k,i) = sk_p(k,j,i) * cip |
---|
[1] | 430 | |
---|
[1517] | 431 | snenn = sk_p(k,j,i-1) - sk_p(k,j,i+1) |
---|
| 432 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 433 | sterm = ( sk_p(k,j,i) - sk_p(k,j,i+1) ) / snenn |
---|
| 434 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 435 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 436 | |
---|
[1517] | 437 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 438 | |
---|
[1517] | 439 | cim = -MIN( 0.0_wp, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
---|
[1] | 440 | |
---|
[1517] | 441 | imme(k,i) = sk_p(k,j,i+1) * cim + snenn * ( & |
---|
| 442 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 443 | eex(ix) - & |
---|
| 444 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 445 | ) & |
---|
| 446 | ) |
---|
| 447 | IF ( sterm == 0.0001_wp ) imme(k,i) = sk_p(k,j,i) * cim |
---|
| 448 | IF ( sterm == 0.9999_wp ) imme(k,i) = sk_p(k,j,i) * cim |
---|
| 449 | ENDIF |
---|
[1] | 450 | |
---|
[1517] | 451 | !-- *VOCL STMT,IF(10) |
---|
| 452 | IF ( sw(k,i+1) == 1.0_wp ) THEN |
---|
| 453 | snenn = sk_p(k,j,i) - sk_p(k,j,i+2) |
---|
| 454 | IF ( ABS( snenn ) .LT. 1E-9_wp ) snenn = 1E-9_wp |
---|
| 455 | sterm = ( sk_p(k,j,i+1) - sk_p(k,j,i+2) ) / snenn |
---|
| 456 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 457 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 458 | |
---|
[1517] | 459 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 460 | |
---|
[1517] | 461 | cim = -MIN( 0.0_wp, ( u(k,j,i+1) - u_gtrans ) * dt_3d * ddx ) |
---|
[1] | 462 | |
---|
[1517] | 463 | impe(k,i) = sk_p(k,j,i+2) * cim + snenn * ( & |
---|
| 464 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 465 | eex(ix) - & |
---|
| 466 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 467 | ) & |
---|
| 468 | ) |
---|
| 469 | IF ( sterm == 0.0001_wp ) impe(k,i) = sk_p(k,j,i+1) * cim |
---|
| 470 | IF ( sterm == 0.9999_wp ) impe(k,i) = sk_p(k,j,i+1) * cim |
---|
| 471 | ENDIF |
---|
[1] | 472 | |
---|
[1517] | 473 | !-- *VOCL STMT,IF(10) |
---|
| 474 | IF ( sw(k,i-1) == 1.0_wp ) THEN |
---|
| 475 | snenn = sk_p(k,j,i) - sk_p(k,j,i-2) |
---|
| 476 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 477 | sterm = ( sk_p(k,j,i-1) - sk_p(k,j,i-2) ) / snenn |
---|
| 478 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 479 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 480 | |
---|
[1517] | 481 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 482 | |
---|
[1517] | 483 | cip = MAX( 0.0_wp, ( u(k,j,i) - u_gtrans ) * dt_3d * ddx ) |
---|
[1] | 484 | |
---|
[1517] | 485 | ipme(k,i) = sk_p(k,j,i-2) * cip + snenn * ( & |
---|
| 486 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 487 | eex(ix) - & |
---|
| 488 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 489 | ) & |
---|
| 490 | ) |
---|
| 491 | IF ( sterm == 0.0001_wp ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
| 492 | IF ( sterm == 0.9999_wp ) ipme(k,i) = sk_p(k,j,i-1) * cip |
---|
| 493 | ENDIF |
---|
[1] | 494 | |
---|
[1517] | 495 | ENDDO |
---|
[1] | 496 | ENDDO |
---|
[1517] | 497 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
[1] | 498 | |
---|
| 499 | ! |
---|
[1517] | 500 | !-- Prognostic equation |
---|
| 501 | DO i = nxl, nxr |
---|
| 502 | DO k = nzb+1, nzt |
---|
| 503 | fplus = ( 1.0_wp - sw(k,i) ) * ippb(k,i) + sw(k,i) * ippe(k,i) & |
---|
| 504 | - ( 1.0_wp - sw(k,i+1) ) * impb(k,i) - sw(k,i+1) * impe(k,i) |
---|
| 505 | fminus = ( 1.0_wp - sw(k,i-1) ) * ipmb(k,i) + sw(k,i-1) * ipme(k,i) & |
---|
| 506 | - ( 1.0_wp - sw(k,i) ) * immb(k,i) - sw(k,i) * imme(k,i) |
---|
| 507 | tendcy = fplus - fminus |
---|
[1] | 508 | ! |
---|
[1517] | 509 | !-- Removed in order to optimize speed |
---|
| 510 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35_wp ) |
---|
| 511 | ! IF ( ( ABS( tendcy ) / ffmax ) < 1E-7_wp ) tendcy = 0.0 |
---|
[1] | 512 | ! |
---|
[1517] | 513 | !-- Density correction because of possible remaining divergences |
---|
| 514 | d_new = d(k,j,i) - ( u(k,j,i+1) - u(k,j,i) ) * dt_3d * ddx |
---|
| 515 | sk_p(k,j,i) = ( ( 1.0_wp + d(k,j,i) ) * sk_p(k,j,i) - tendcy ) / & |
---|
| 516 | ( 1.0_wp + d_new ) |
---|
| 517 | d(k,j,i) = d_new |
---|
| 518 | ENDDO |
---|
[1] | 519 | ENDDO |
---|
| 520 | |
---|
[1517] | 521 | ENDDO ! End of the advection in x-direction |
---|
[1] | 522 | |
---|
| 523 | ! |
---|
[1517] | 524 | !-- Deallocate temporary arrays |
---|
| 525 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 526 | ippb, ippe, m1, sw ) |
---|
[1] | 527 | |
---|
| 528 | |
---|
| 529 | ! |
---|
[1517] | 530 | !-- Enlarge boundary of local array cyclically in y-direction |
---|
[1] | 531 | #if defined( __parallel ) |
---|
[1517] | 532 | ngp = ( nzt - nzb + 6 ) * ( nyn - nys + 7 ) |
---|
| 533 | CALL MPI_TYPE_VECTOR( nxr-nxl+7, 3*(nzt-nzb+6), ngp, MPI_REAL, & |
---|
| 534 | type_xz_2, ierr ) |
---|
| 535 | CALL MPI_TYPE_COMMIT( type_xz_2, ierr ) |
---|
[1] | 536 | ! |
---|
[1517] | 537 | !-- Send front boundary, receive rear boundary |
---|
| 538 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
| 539 | CALL MPI_SENDRECV( sk_p(nzb-2,nys,nxl-3), 1, type_xz_2, psouth, 0, & |
---|
| 540 | sk_p(nzb-2,nyn+1,nxl-3), 1, type_xz_2, pnorth, 0, & |
---|
| 541 | comm2d, status, ierr ) |
---|
[1] | 542 | ! |
---|
[1517] | 543 | !-- Send rear boundary, receive front boundary |
---|
| 544 | CALL MPI_SENDRECV( sk_p(nzb-2,nyn-2,nxl-3), 1, type_xz_2, pnorth, 1, & |
---|
| 545 | sk_p(nzb-2,nys-3,nxl-3), 1, type_xz_2, psouth, 1, & |
---|
| 546 | comm2d, status, ierr ) |
---|
| 547 | CALL MPI_TYPE_FREE( type_xz_2, ierr ) |
---|
| 548 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'pause' ) |
---|
[1] | 549 | #else |
---|
[1517] | 550 | DO i = nxl, nxr |
---|
| 551 | DO k = nzb+1, nzt |
---|
| 552 | sk_p(k,nys-1,i) = sk_p(k,nyn,i) |
---|
| 553 | sk_p(k,nys-2,i) = sk_p(k,nyn-1,i) |
---|
| 554 | sk_p(k,nys-3,i) = sk_p(k,nyn-2,i) |
---|
| 555 | sk_p(k,nyn+1,i) = sk_p(k,nys,i) |
---|
| 556 | sk_p(k,nyn+2,i) = sk_p(k,nys+1,i) |
---|
| 557 | sk_p(k,nyn+3,i) = sk_p(k,nys+2,i) |
---|
| 558 | ENDDO |
---|
[1] | 559 | ENDDO |
---|
| 560 | #endif |
---|
| 561 | |
---|
| 562 | ! |
---|
[1517] | 563 | !-- Determine the maxima of the first and second derivative in y-direction |
---|
| 564 | fmax_l = 0.0_wp |
---|
| 565 | DO i = nxl, nxr |
---|
| 566 | DO j = nys, nyn |
---|
| 567 | DO k = nzb+1, nzt |
---|
| 568 | numera = ABS( sk_p(k,j+1,i) - 2.0_wp * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
| 569 | denomi = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 570 | fmax_l(1) = MAX( fmax_l(1) , numera ) |
---|
| 571 | fmax_l(2) = MAX( fmax_l(2) , denomi ) |
---|
| 572 | ENDDO |
---|
[1] | 573 | ENDDO |
---|
| 574 | ENDDO |
---|
| 575 | #if defined( __parallel ) |
---|
[1517] | 576 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
| 577 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
[1] | 578 | #else |
---|
[1517] | 579 | fmax = fmax_l |
---|
[1] | 580 | #endif |
---|
| 581 | |
---|
[1517] | 582 | fmax = 0.04_wp * fmax |
---|
[1] | 583 | |
---|
| 584 | ! |
---|
[1517] | 585 | !-- Allocate temporary arrays |
---|
| 586 | ALLOCATE( a0(nzb+1:nzt,nys-1:nyn+1), a1(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 587 | a2(nzb+1:nzt,nys-1:nyn+1), a12(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 588 | a22(nzb+1:nzt,nys-1:nyn+1), immb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 589 | imme(nzb+1:nzt,nys-1:nyn+1), impb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 590 | impe(nzb+1:nzt,nys-1:nyn+1), ipmb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 591 | ipme(nzb+1:nzt,nys-1:nyn+1), ippb(nzb+1:nzt,nys-1:nyn+1), & |
---|
| 592 | ippe(nzb+1:nzt,nys-1:nyn+1), m1(nzb+1:nzt,nys-2:nyn+2), & |
---|
| 593 | sw(nzb+1:nzt,nys-1:nyn+1) & |
---|
| 594 | ) |
---|
| 595 | imme = 0.0_wp; impe = 0.0_wp; ipme = 0.0_wp; ippe = 0.0_wp |
---|
[1] | 596 | |
---|
| 597 | ! |
---|
[1517] | 598 | !-- Outer loop of all i |
---|
| 599 | DO i = nxl, nxr |
---|
[1] | 600 | |
---|
| 601 | ! |
---|
[1517] | 602 | !-- Compute polynomial coefficients |
---|
| 603 | DO j = nys-1, nyn+1 |
---|
| 604 | DO k = nzb+1, nzt |
---|
| 605 | a12(k,j) = 0.5_wp * ( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 606 | a22(k,j) = 0.5_wp * ( sk_p(k,j+1,i) - 2.0_wp * sk_p(k,j,i) & |
---|
| 607 | + sk_p(k,j-1,i) ) |
---|
| 608 | a0(k,j) = ( 9.0_wp * sk_p(k,j+2,i) - 116.0_wp * sk_p(k,j+1,i) & |
---|
| 609 | + 2134.0_wp * sk_p(k,j,i) - 116.0_wp * sk_p(k,j-1,i) & |
---|
| 610 | + 9.0_wp * sk_p(k,j-2,i) ) * f1920 |
---|
| 611 | a1(k,j) = ( -5.0_wp * sk_p(k,j+2,i) + 34.0_wp * sk_p(k,j+1,i) & |
---|
| 612 | - 34.0_wp * sk_p(k,j-1,i) + 5.0_wp * sk_p(k,j-2,i) & |
---|
| 613 | ) * f48 |
---|
| 614 | a2(k,j) = ( -3.0_wp * sk_p(k,j+2,i) + 36.0_wp * sk_p(k,j+1,i) & |
---|
| 615 | - 66.0_wp * sk_p(k,j,i) + 36.0_wp * sk_p(k,j-1,i) & |
---|
| 616 | - 3.0_wp * sk_p(k,j-2,i) ) * f48 |
---|
| 617 | ENDDO |
---|
[1] | 618 | ENDDO |
---|
| 619 | |
---|
| 620 | ! |
---|
[1517] | 621 | !-- Fluxes using the Bott scheme |
---|
| 622 | !-- *VOCL LOOP,UNROLL(2) |
---|
| 623 | DO j = nys, nyn |
---|
| 624 | DO k = nzb+1, nzt |
---|
| 625 | cip = MAX( 0.0_wp, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 626 | cim = -MIN( 0.0_wp, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 627 | cipf = 1.0_wp - 2.0_wp * cip |
---|
| 628 | cimf = 1.0_wp - 2.0_wp * cim |
---|
| 629 | ip = a0(k,j) * f2 * ( 1.0_wp - cipf ) & |
---|
| 630 | + a1(k,j) * f8 * ( 1.0_wp - cipf*cipf ) & |
---|
| 631 | + a2(k,j) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
---|
| 632 | im = a0(k,j+1) * f2 * ( 1.0_wp - cimf ) & |
---|
| 633 | - a1(k,j+1) * f8 * ( 1.0_wp - cimf*cimf ) & |
---|
| 634 | + a2(k,j+1) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
---|
| 635 | ip = MAX( ip, 0.0_wp ) |
---|
| 636 | im = MAX( im, 0.0_wp ) |
---|
| 637 | ippb(k,j) = ip * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
---|
| 638 | impb(k,j) = im * MIN( 1.0_wp, sk_p(k,j+1,i) / (ip+im+1E-15_wp) ) |
---|
[1] | 639 | |
---|
[1517] | 640 | cip = MAX( 0.0_wp, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 641 | cim = -MIN( 0.0_wp, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
| 642 | cipf = 1.0_wp - 2.0_wp * cip |
---|
| 643 | cimf = 1.0_wp - 2.0_wp * cim |
---|
| 644 | ip = a0(k,j-1) * f2 * ( 1.0_wp - cipf ) & |
---|
| 645 | + a1(k,j-1) * f8 * ( 1.0_wp - cipf*cipf ) & |
---|
| 646 | + a2(k,j-1) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
---|
| 647 | im = a0(k,j) * f2 * ( 1.0_wp - cimf ) & |
---|
| 648 | - a1(k,j) * f8 * ( 1.0_wp - cimf*cimf ) & |
---|
| 649 | + a2(k,j) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
---|
| 650 | ip = MAX( ip, 0.0_wp ) |
---|
| 651 | im = MAX( im, 0.0_wp ) |
---|
| 652 | ipmb(k,j) = ip * MIN( 1.0_wp, sk_p(k,j-1,i) / (ip+im+1E-15_wp) ) |
---|
| 653 | immb(k,j) = im * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
---|
| 654 | ENDDO |
---|
[1] | 655 | ENDDO |
---|
| 656 | |
---|
| 657 | ! |
---|
[1517] | 658 | !-- Compute monitor function m1 |
---|
| 659 | DO j = nys-2, nyn+2 |
---|
| 660 | DO k = nzb+1, nzt |
---|
| 661 | m1z = ABS( sk_p(k,j+1,i) - 2.0_wp * sk_p(k,j,i) + sk_p(k,j-1,i) ) |
---|
| 662 | m1n = ABS( sk_p(k,j+1,i) - sk_p(k,j-1,i) ) |
---|
| 663 | IF ( m1n /= 0.0_wp .AND. m1n >= m1z ) THEN |
---|
| 664 | m1(k,j) = m1z / m1n |
---|
| 665 | IF ( m1(k,j) /= 2.0_wp .AND. m1n < fmax(2) ) m1(k,j) = 0.0_wp |
---|
| 666 | ELSEIF ( m1n < m1z ) THEN |
---|
| 667 | m1(k,j) = -1.0_wp |
---|
| 668 | ELSE |
---|
| 669 | m1(k,j) = 0.0_wp |
---|
| 670 | ENDIF |
---|
| 671 | ENDDO |
---|
[1] | 672 | ENDDO |
---|
| 673 | |
---|
| 674 | ! |
---|
[1517] | 675 | !-- Compute switch sw |
---|
| 676 | sw = 0.0_wp |
---|
| 677 | DO j = nys-1, nyn+1 |
---|
| 678 | DO k = nzb+1, nzt |
---|
| 679 | m2 = 2.0_wp * ABS( a1(k,j) - a12(k,j) ) / & |
---|
| 680 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35_wp ) |
---|
| 681 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0_wp |
---|
[1] | 682 | |
---|
[1517] | 683 | m3 = 2.0_wp * ABS( a2(k,j) - a22(k,j) ) / & |
---|
| 684 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35_wp ) |
---|
| 685 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0_wp |
---|
[1] | 686 | |
---|
[1517] | 687 | t1 = 0.35_wp |
---|
| 688 | t2 = 0.35_wp |
---|
| 689 | IF ( m1(k,j) == -1.0_wp ) t2 = 0.12_wp |
---|
[1] | 690 | |
---|
[1517] | 691 | !-- *VOCL STMT,IF(10) |
---|
| 692 | IF ( m1(k,j-1) == 1.0_wp .OR. m1(k,j) == 1.0_wp & |
---|
| 693 | .OR. m1(k,j+1) == 1.0_wp .OR. m2 > t2 .OR. m3 > t2 .OR. & |
---|
| 694 | ( m1(k,j) > t1 .AND. m1(k,j-1) /= -1.0_wp .AND. & |
---|
| 695 | m1(k,j) /= -1.0_wp .AND. m1(k,j+1) /= -1.0_wp ) & |
---|
| 696 | ) sw(k,j) = 1.0_wp |
---|
| 697 | ENDDO |
---|
[1] | 698 | ENDDO |
---|
| 699 | |
---|
| 700 | ! |
---|
[1517] | 701 | !-- Fluxes using exponential scheme |
---|
| 702 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 703 | DO j = nys, nyn |
---|
| 704 | DO k = nzb+1, nzt |
---|
[1] | 705 | |
---|
[1517] | 706 | !-- *VOCL STMT,IF(10) |
---|
| 707 | IF ( sw(k,j) == 1.0_wp ) THEN |
---|
| 708 | snenn = sk_p(k,j+1,i) - sk_p(k,j-1,i) |
---|
| 709 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 710 | sterm = ( sk_p(k,j,i) - sk_p(k,j-1,i) ) / snenn |
---|
| 711 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 712 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 713 | |
---|
[1517] | 714 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 715 | |
---|
[1517] | 716 | cip = MAX( 0.0_wp, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
[1] | 717 | |
---|
[1517] | 718 | ippe(k,j) = sk_p(k,j-1,i) * cip + snenn * ( & |
---|
| 719 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 720 | eex(ix) - & |
---|
| 721 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 722 | ) & |
---|
| 723 | ) |
---|
| 724 | IF ( sterm == 0.0001_wp ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 725 | IF ( sterm == 0.9999_wp ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
[1] | 726 | |
---|
[1517] | 727 | snenn = sk_p(k,j-1,i) - sk_p(k,j+1,i) |
---|
| 728 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 729 | sterm = ( sk_p(k,j,i) - sk_p(k,j+1,i) ) / snenn |
---|
| 730 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 731 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 732 | |
---|
[1517] | 733 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 734 | |
---|
[1517] | 735 | cim = -MIN( 0.0_wp, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
[1] | 736 | |
---|
[1517] | 737 | imme(k,j) = sk_p(k,j+1,i) * cim + snenn * ( & |
---|
| 738 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 739 | eex(ix) - & |
---|
| 740 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 741 | ) & |
---|
| 742 | ) |
---|
| 743 | IF ( sterm == 0.0001_wp ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 744 | IF ( sterm == 0.9999_wp ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 745 | ENDIF |
---|
[1] | 746 | |
---|
[1517] | 747 | !-- *VOCL STMT,IF(10) |
---|
| 748 | IF ( sw(k,j+1) == 1.0_wp ) THEN |
---|
| 749 | snenn = sk_p(k,j,i) - sk_p(k,j+2,i) |
---|
| 750 | IF ( ABS( snenn ) .LT. 1E-9_wp ) snenn = 1E-9_wp |
---|
| 751 | sterm = ( sk_p(k,j+1,i) - sk_p(k,j+2,i) ) / snenn |
---|
| 752 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 753 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 754 | |
---|
[1517] | 755 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 756 | |
---|
[1517] | 757 | cim = -MIN( 0.0_wp, ( v(k,j+1,i) - v_gtrans ) * dt_3d * ddy ) |
---|
[1] | 758 | |
---|
[1517] | 759 | impe(k,j) = sk_p(k,j+2,i) * cim + snenn * ( & |
---|
| 760 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 761 | eex(ix) - & |
---|
| 762 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 763 | ) & |
---|
| 764 | ) |
---|
| 765 | IF ( sterm == 0.0001_wp ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
| 766 | IF ( sterm == 0.9999_wp ) impe(k,j) = sk_p(k,j+1,i) * cim |
---|
| 767 | ENDIF |
---|
[1] | 768 | |
---|
[1517] | 769 | !-- *VOCL STMT,IF(10) |
---|
| 770 | IF ( sw(k,j-1) == 1.0_wp ) THEN |
---|
| 771 | snenn = sk_p(k,j,i) - sk_p(k,j-2,i) |
---|
| 772 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 773 | sterm = ( sk_p(k,j-1,i) - sk_p(k,j-2,i) ) / snenn |
---|
| 774 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 775 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 776 | |
---|
[1517] | 777 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 778 | |
---|
[1517] | 779 | cip = MAX( 0.0_wp, ( v(k,j,i) - v_gtrans ) * dt_3d * ddy ) |
---|
[1] | 780 | |
---|
[1517] | 781 | ipme(k,j) = sk_p(k,j-2,i) * cip + snenn * ( & |
---|
| 782 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 783 | eex(ix) - & |
---|
| 784 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 785 | ) & |
---|
| 786 | ) |
---|
| 787 | IF ( sterm == 0.0001_wp ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
| 788 | IF ( sterm == 0.9999_wp ) ipme(k,j) = sk_p(k,j-1,i) * cip |
---|
| 789 | ENDIF |
---|
[1] | 790 | |
---|
[1517] | 791 | ENDDO |
---|
[1] | 792 | ENDDO |
---|
[1517] | 793 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
[1] | 794 | |
---|
| 795 | ! |
---|
[1517] | 796 | !-- Prognostic equation |
---|
| 797 | DO j = nys, nyn |
---|
| 798 | DO k = nzb+1, nzt |
---|
| 799 | fplus = ( 1.0_wp - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
| 800 | - ( 1.0_wp - sw(k,j+1) ) * impb(k,j) - sw(k,j+1) * impe(k,j) |
---|
| 801 | fminus = ( 1.0_wp - sw(k,j-1) ) * ipmb(k,j) + sw(k,j-1) * ipme(k,j) & |
---|
| 802 | - ( 1.0_wp - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
| 803 | tendcy = fplus - fminus |
---|
[1] | 804 | ! |
---|
[1517] | 805 | !-- Removed in order to optimise speed |
---|
| 806 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35_wp ) |
---|
| 807 | ! IF ( ( ABS( tendcy ) / ffmax ) < 1E-7_wp ) tendcy = 0.0 |
---|
[1] | 808 | ! |
---|
[1517] | 809 | !-- Density correction because of possible remaining divergences |
---|
| 810 | d_new = d(k,j,i) - ( v(k,j+1,i) - v(k,j,i) ) * dt_3d * ddy |
---|
| 811 | sk_p(k,j,i) = ( ( 1.0_wp + d(k,j,i) ) * sk_p(k,j,i) - tendcy ) / & |
---|
| 812 | ( 1.0_wp + d_new ) |
---|
| 813 | d(k,j,i) = d_new |
---|
| 814 | ENDDO |
---|
[1] | 815 | ENDDO |
---|
| 816 | |
---|
[1517] | 817 | ENDDO ! End of the advection in y-direction |
---|
| 818 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'continue' ) |
---|
| 819 | CALL cpu_log( log_point_s(11), 'advec_s_bc:sendrecv', 'stop' ) |
---|
[1] | 820 | |
---|
| 821 | ! |
---|
[1517] | 822 | !-- Deallocate temporary arrays |
---|
| 823 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 824 | ippb, ippe, m1, sw ) |
---|
[1] | 825 | |
---|
| 826 | |
---|
| 827 | ! |
---|
[1517] | 828 | !-- Initialise for the computation of heat fluxes (see below; required in |
---|
| 829 | !-- UP flow_statistics) |
---|
| 830 | IF ( sk_char == 'pt' ) sums_wsts_bc_l = 0.0_wp |
---|
[1] | 831 | |
---|
| 832 | ! |
---|
[1517] | 833 | !-- Add top and bottom boundaries according to the relevant boundary conditions |
---|
| 834 | IF ( sk_char == 'pt' ) THEN |
---|
[1] | 835 | |
---|
| 836 | ! |
---|
[1517] | 837 | !-- Temperature boundary condition at the bottom boundary |
---|
| 838 | IF ( ibc_pt_b == 0 ) THEN |
---|
[1] | 839 | ! |
---|
| 840 | !-- Dirichlet (fixed surface temperature) |
---|
[1517] | 841 | DO i = nxl, nxr |
---|
| 842 | DO j = nys, nyn |
---|
| 843 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 844 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 845 | ENDDO |
---|
[1] | 846 | ENDDO |
---|
| 847 | |
---|
[1517] | 848 | ELSE |
---|
[1] | 849 | ! |
---|
[1517] | 850 | !-- Neumann (i.e. here zero gradient) |
---|
| 851 | DO i = nxl, nxr |
---|
| 852 | DO j = nys, nyn |
---|
| 853 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
| 854 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 855 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 856 | ENDDO |
---|
| 857 | ENDDO |
---|
| 858 | |
---|
| 859 | ENDIF |
---|
| 860 | |
---|
| 861 | ! |
---|
| 862 | !-- Temperature boundary condition at the top boundary |
---|
| 863 | IF ( ibc_pt_t == 0 .OR. ibc_pt_t == 1 ) THEN |
---|
| 864 | ! |
---|
| 865 | !-- Dirichlet or Neumann (zero gradient) |
---|
| 866 | DO i = nxl, nxr |
---|
| 867 | DO j = nys, nyn |
---|
| 868 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 869 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
| 870 | ENDDO |
---|
| 871 | ENDDO |
---|
| 872 | |
---|
| 873 | ELSEIF ( ibc_pt_t == 2 ) THEN |
---|
| 874 | ! |
---|
| 875 | !-- Neumann: dzu(nzt+2:3) are not defined, dzu(nzt+1) is used instead |
---|
| 876 | DO i = nxl, nxr |
---|
| 877 | DO j = nys, nyn |
---|
| 878 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
| 879 | sk_p(nzt+3,j,i) = sk_p(nzt+2,j,i) + bc_pt_t_val * dzu(nzt+1) |
---|
| 880 | ENDDO |
---|
| 881 | ENDDO |
---|
| 882 | |
---|
| 883 | ENDIF |
---|
| 884 | |
---|
| 885 | ELSEIF ( sk_char == 'sa' ) THEN |
---|
| 886 | |
---|
| 887 | ! |
---|
| 888 | !-- Salinity boundary condition at the bottom boundary. |
---|
| 889 | !-- So far, always Neumann (i.e. here zero gradient) is used |
---|
[1] | 890 | DO i = nxl, nxr |
---|
| 891 | DO j = nys, nyn |
---|
[216] | 892 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
[63] | 893 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 894 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
[1] | 895 | ENDDO |
---|
| 896 | ENDDO |
---|
| 897 | |
---|
| 898 | ! |
---|
[1517] | 899 | !-- Salinity boundary condition at the top boundary. |
---|
[63] | 900 | !-- Dirichlet or Neumann (zero gradient) |
---|
[1] | 901 | DO i = nxl, nxr |
---|
| 902 | DO j = nys, nyn |
---|
[63] | 903 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 904 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
[1] | 905 | ENDDO |
---|
| 906 | ENDDO |
---|
| 907 | |
---|
[1517] | 908 | ELSEIF ( sk_char == 'q' ) THEN |
---|
| 909 | |
---|
[1] | 910 | ! |
---|
[1517] | 911 | !-- Specific humidity boundary condition at the bottom boundary. |
---|
| 912 | !-- Dirichlet (fixed surface humidity) or Neumann (i.e. zero gradient) |
---|
[1] | 913 | DO i = nxl, nxr |
---|
| 914 | DO j = nys, nyn |
---|
[1517] | 915 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
| 916 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 917 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
[1] | 918 | ENDDO |
---|
| 919 | ENDDO |
---|
| 920 | |
---|
| 921 | ! |
---|
[1517] | 922 | !-- Specific humidity boundary condition at the top boundary |
---|
| 923 | IF ( ibc_q_t == 0 ) THEN |
---|
| 924 | ! |
---|
| 925 | !-- Dirichlet |
---|
| 926 | DO i = nxl, nxr |
---|
| 927 | DO j = nys, nyn |
---|
| 928 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 929 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
| 930 | ENDDO |
---|
| 931 | ENDDO |
---|
[1] | 932 | |
---|
[1517] | 933 | ELSE |
---|
[1] | 934 | ! |
---|
[1517] | 935 | !-- Neumann: dzu(nzt+2:3) are not defined, dzu(nzt+1) is used instead |
---|
| 936 | DO i = nxl, nxr |
---|
| 937 | DO j = nys, nyn |
---|
| 938 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
| 939 | sk_p(nzt+3,j,i) = sk_p(nzt+2,j,i) + bc_q_t_val * dzu(nzt+1) |
---|
| 940 | ENDDO |
---|
| 941 | ENDDO |
---|
[1] | 942 | |
---|
[1517] | 943 | ENDIF |
---|
[1] | 944 | |
---|
[1517] | 945 | ELSEIF ( sk_char == 'qr' ) THEN |
---|
| 946 | |
---|
[1] | 947 | ! |
---|
[1517] | 948 | !-- Rain water content boundary condition at the bottom boundary: |
---|
| 949 | !-- Dirichlet (fixed surface rain water content). |
---|
| 950 | DO i = nxl, nxr |
---|
| 951 | DO j = nys, nyn |
---|
| 952 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
| 953 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 954 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 955 | ENDDO |
---|
[97] | 956 | ENDDO |
---|
| 957 | |
---|
| 958 | ! |
---|
[1517] | 959 | !-- Rain water content boundary condition at the top boundary: Dirichlet |
---|
[1] | 960 | DO i = nxl, nxr |
---|
| 961 | DO j = nys, nyn |
---|
[63] | 962 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 963 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
[1] | 964 | ENDDO |
---|
| 965 | ENDDO |
---|
| 966 | |
---|
[1517] | 967 | ELSEIF ( sk_char == 'nr' ) THEN |
---|
| 968 | |
---|
[1] | 969 | ! |
---|
[1517] | 970 | !-- Rain drop concentration boundary condition at the bottom boundary: |
---|
| 971 | !-- Dirichlet (fixed surface rain drop concentration). |
---|
[1] | 972 | DO i = nxl, nxr |
---|
| 973 | DO j = nys, nyn |
---|
[1517] | 974 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
| 975 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 976 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
[1] | 977 | ENDDO |
---|
| 978 | ENDDO |
---|
| 979 | |
---|
[1361] | 980 | ! |
---|
[1517] | 981 | !-- Rain drop concentration boundary condition at the top boundary: Dirichlet |
---|
| 982 | DO i = nxl, nxr |
---|
| 983 | DO j = nys, nyn |
---|
| 984 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 985 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
| 986 | ENDDO |
---|
[1361] | 987 | ENDDO |
---|
| 988 | |
---|
[1517] | 989 | ELSEIF ( sk_char == 'e' ) THEN |
---|
[1361] | 990 | |
---|
| 991 | ! |
---|
[1517] | 992 | !-- TKE boundary condition at bottom and top boundary (generally Neumann) |
---|
| 993 | DO i = nxl, nxr |
---|
| 994 | DO j = nys, nyn |
---|
| 995 | sk_p(nzb,j,i) = sk_p(nzb+1,j,i) |
---|
| 996 | sk_p(nzb-1,j,i) = sk_p(nzb,j,i) |
---|
| 997 | sk_p(nzb-2,j,i) = sk_p(nzb,j,i) |
---|
| 998 | sk_p(nzt+2,j,i) = sk_p(nzt+1,j,i) |
---|
| 999 | sk_p(nzt+3,j,i) = sk_p(nzt+1,j,i) |
---|
| 1000 | ENDDO |
---|
[1361] | 1001 | ENDDO |
---|
| 1002 | |
---|
[1517] | 1003 | ELSE |
---|
[1361] | 1004 | |
---|
[1517] | 1005 | WRITE( message_string, * ) 'no vertical boundary condi', & |
---|
| 1006 | 'tion for variable "', sk_char, '"' |
---|
| 1007 | CALL message( 'advec_s_bc', 'PA0158', 1, 2, 0, 6, 0 ) |
---|
| 1008 | |
---|
| 1009 | ENDIF |
---|
[1] | 1010 | |
---|
| 1011 | ! |
---|
[1517] | 1012 | !-- Determine the maxima of the first and second derivative in z-direction |
---|
| 1013 | fmax_l = 0.0_wp |
---|
[97] | 1014 | DO i = nxl, nxr |
---|
| 1015 | DO j = nys, nyn |
---|
[1517] | 1016 | DO k = nzb, nzt+1 |
---|
| 1017 | numera = ABS( sk_p(k+1,j,i) - 2.0_wp * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
| 1018 | denomi = ABS( sk_p(k+1,j,i+1) - sk_p(k-1,j,i) ) |
---|
| 1019 | fmax_l(1) = MAX( fmax_l(1) , numera ) |
---|
| 1020 | fmax_l(2) = MAX( fmax_l(2) , denomi ) |
---|
| 1021 | ENDDO |
---|
[97] | 1022 | ENDDO |
---|
| 1023 | ENDDO |
---|
[1] | 1024 | #if defined( __parallel ) |
---|
[1517] | 1025 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
| 1026 | CALL MPI_ALLREDUCE( fmax_l, fmax, 2, MPI_REAL, MPI_MAX, comm2d, ierr ) |
---|
[1] | 1027 | #else |
---|
[1517] | 1028 | fmax = fmax_l |
---|
[1] | 1029 | #endif |
---|
| 1030 | |
---|
[1517] | 1031 | fmax = 0.04_wp * fmax |
---|
[1] | 1032 | |
---|
| 1033 | ! |
---|
[1517] | 1034 | !-- Allocate temporary arrays |
---|
| 1035 | ALLOCATE( a0(nzb:nzt+1,nys:nyn), a1(nzb:nzt+1,nys:nyn), & |
---|
| 1036 | a2(nzb:nzt+1,nys:nyn), a12(nzb:nzt+1,nys:nyn), & |
---|
| 1037 | a22(nzb:nzt+1,nys:nyn), immb(nzb+1:nzt,nys:nyn), & |
---|
| 1038 | imme(nzb+1:nzt,nys:nyn), impb(nzb+1:nzt,nys:nyn), & |
---|
| 1039 | impe(nzb+1:nzt,nys:nyn), ipmb(nzb+1:nzt,nys:nyn), & |
---|
| 1040 | ipme(nzb+1:nzt,nys:nyn), ippb(nzb+1:nzt,nys:nyn), & |
---|
| 1041 | ippe(nzb+1:nzt,nys:nyn), m1(nzb-1:nzt+2,nys:nyn), & |
---|
| 1042 | sw(nzb:nzt+1,nys:nyn) & |
---|
| 1043 | ) |
---|
| 1044 | imme = 0.0_wp; impe = 0.0_wp; ipme = 0.0_wp; ippe = 0.0_wp |
---|
[1] | 1045 | |
---|
| 1046 | ! |
---|
[1517] | 1047 | !-- Outer loop of all i |
---|
| 1048 | DO i = nxl, nxr |
---|
[1] | 1049 | |
---|
| 1050 | ! |
---|
[1517] | 1051 | !-- Compute polynomial coefficients |
---|
| 1052 | DO j = nys, nyn |
---|
| 1053 | DO k = nzb, nzt+1 |
---|
| 1054 | a12(k,j) = 0.5_wp * ( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
| 1055 | a22(k,j) = 0.5_wp * ( sk_p(k+1,j,i) - 2.0_wp * sk_p(k,j,i) & |
---|
| 1056 | + sk_p(k-1,j,i) ) |
---|
| 1057 | a0(k,j) = ( 9.0_wp * sk_p(k+2,j,i) - 116.0_wp * sk_p(k+1,j,i) & |
---|
| 1058 | + 2134.0_wp * sk_p(k,j,i) - 116.0_wp * sk_p(k-1,j,i) & |
---|
| 1059 | + 9.0_wp * sk_p(k-2,j,i) ) * f1920 |
---|
| 1060 | a1(k,j) = ( -5.0_wp * sk_p(k+2,j,i) + 34.0_wp * sk_p(k+1,j,i) & |
---|
| 1061 | - 34.0_wp * sk_p(k-1,j,i) + 5.0_wp * sk_p(k-2,j,i) & |
---|
| 1062 | ) * f48 |
---|
| 1063 | a2(k,j) = ( -3.0_wp * sk_p(k+2,j,i) + 36.0_wp * sk_p(k+1,j,i) & |
---|
| 1064 | - 66.0_wp * sk_p(k,j,i) + 36.0_wp * sk_p(k-1,j,i) & |
---|
| 1065 | - 3.0_wp * sk_p(k-2,j,i) ) * f48 |
---|
| 1066 | ENDDO |
---|
[1] | 1067 | ENDDO |
---|
| 1068 | |
---|
| 1069 | ! |
---|
[1517] | 1070 | !-- Fluxes using the Bott scheme |
---|
| 1071 | !-- *VOCL LOOP,UNROLL(2) |
---|
| 1072 | DO j = nys, nyn |
---|
| 1073 | DO k = nzb+1, nzt |
---|
| 1074 | cip = MAX( 0.0_wp, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 1075 | cim = -MIN( 0.0_wp, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
| 1076 | cipf = 1.0_wp - 2.0_wp * cip |
---|
| 1077 | cimf = 1.0_wp - 2.0_wp * cim |
---|
| 1078 | ip = a0(k,j) * f2 * ( 1.0_wp - cipf ) & |
---|
| 1079 | + a1(k,j) * f8 * ( 1.0_wp - cipf*cipf ) & |
---|
| 1080 | + a2(k,j) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
---|
| 1081 | im = a0(k+1,j) * f2 * ( 1.0_wp - cimf ) & |
---|
| 1082 | - a1(k+1,j) * f8 * ( 1.0_wp - cimf*cimf ) & |
---|
| 1083 | + a2(k+1,j) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
---|
| 1084 | ip = MAX( ip, 0.0_wp ) |
---|
| 1085 | im = MAX( im, 0.0_wp ) |
---|
| 1086 | ippb(k,j) = ip * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
---|
| 1087 | impb(k,j) = im * MIN( 1.0_wp, sk_p(k+1,j,i) / (ip+im+1E-15_wp) ) |
---|
[1] | 1088 | |
---|
[1517] | 1089 | cip = MAX( 0.0_wp, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 1090 | cim = -MIN( 0.0_wp, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
| 1091 | cipf = 1.0_wp - 2.0_wp * cip |
---|
| 1092 | cimf = 1.0_wp - 2.0_wp * cim |
---|
| 1093 | ip = a0(k-1,j) * f2 * ( 1.0_wp - cipf ) & |
---|
| 1094 | + a1(k-1,j) * f8 * ( 1.0_wp - cipf*cipf ) & |
---|
| 1095 | + a2(k-1,j) * f24 * ( 1.0_wp - cipf*cipf*cipf ) |
---|
| 1096 | im = a0(k,j) * f2 * ( 1.0_wp - cimf ) & |
---|
| 1097 | - a1(k,j) * f8 * ( 1.0_wp - cimf*cimf ) & |
---|
| 1098 | + a2(k,j) * f24 * ( 1.0_wp - cimf*cimf*cimf ) |
---|
| 1099 | ip = MAX( ip, 0.0_wp ) |
---|
| 1100 | im = MAX( im, 0.0_wp ) |
---|
| 1101 | ipmb(k,j) = ip * MIN( 1.0_wp, sk_p(k-1,j,i) / (ip+im+1E-15_wp) ) |
---|
| 1102 | immb(k,j) = im * MIN( 1.0_wp, sk_p(k,j,i) / (ip+im+1E-15_wp) ) |
---|
| 1103 | ENDDO |
---|
[1] | 1104 | ENDDO |
---|
| 1105 | |
---|
| 1106 | ! |
---|
[1517] | 1107 | !-- Compute monitor function m1 |
---|
| 1108 | DO j = nys, nyn |
---|
| 1109 | DO k = nzb-1, nzt+2 |
---|
| 1110 | m1z = ABS( sk_p(k+1,j,i) - 2.0_wp * sk_p(k,j,i) + sk_p(k-1,j,i) ) |
---|
| 1111 | m1n = ABS( sk_p(k+1,j,i) - sk_p(k-1,j,i) ) |
---|
| 1112 | IF ( m1n /= 0.0_wp .AND. m1n >= m1z ) THEN |
---|
| 1113 | m1(k,j) = m1z / m1n |
---|
| 1114 | IF ( m1(k,j) /= 2.0_wp .AND. m1n < fmax(2) ) m1(k,j) = 0.0_wp |
---|
| 1115 | ELSEIF ( m1n < m1z ) THEN |
---|
| 1116 | m1(k,j) = -1.0_wp |
---|
| 1117 | ELSE |
---|
| 1118 | m1(k,j) = 0.0_wp |
---|
| 1119 | ENDIF |
---|
| 1120 | ENDDO |
---|
[1] | 1121 | ENDDO |
---|
| 1122 | |
---|
| 1123 | ! |
---|
[1517] | 1124 | !-- Compute switch sw |
---|
| 1125 | sw = 0.0_wp |
---|
| 1126 | DO j = nys, nyn |
---|
| 1127 | DO k = nzb, nzt+1 |
---|
| 1128 | m2 = 2.0_wp * ABS( a1(k,j) - a12(k,j) ) / & |
---|
| 1129 | MAX( ABS( a1(k,j) + a12(k,j) ), 1E-35_wp ) |
---|
| 1130 | IF ( ABS( a1(k,j) + a12(k,j) ) < fmax(2) ) m2 = 0.0_wp |
---|
[1] | 1131 | |
---|
[1517] | 1132 | m3 = 2.0_wp * ABS( a2(k,j) - a22(k,j) ) / & |
---|
| 1133 | MAX( ABS( a2(k,j) + a22(k,j) ), 1E-35_wp ) |
---|
| 1134 | IF ( ABS( a2(k,j) + a22(k,j) ) < fmax(1) ) m3 = 0.0_wp |
---|
[1] | 1135 | |
---|
[1517] | 1136 | t1 = 0.35_wp |
---|
| 1137 | t2 = 0.35_wp |
---|
| 1138 | IF ( m1(k,j) == -1.0_wp ) t2 = 0.12_wp |
---|
[1] | 1139 | |
---|
[1517] | 1140 | !-- *VOCL STMT,IF(10) |
---|
| 1141 | IF ( m1(k-1,j) == 1.0_wp .OR. m1(k,j) == 1.0_wp & |
---|
| 1142 | .OR. m1(k+1,j) == 1.0_wp .OR. m2 > t2 .OR. m3 > t2 .OR. & |
---|
| 1143 | ( m1(k,j) > t1 .AND. m1(k-1,j) /= -1.0_wp .AND. & |
---|
| 1144 | m1(k,j) /= -1.0_wp .AND. m1(k+1,j) /= -1.0_wp ) & |
---|
| 1145 | ) sw(k,j) = 1.0_wp |
---|
| 1146 | ENDDO |
---|
[1] | 1147 | ENDDO |
---|
| 1148 | |
---|
| 1149 | ! |
---|
[1517] | 1150 | !-- Fluxes using exponential scheme |
---|
| 1151 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 1152 | DO j = nys, nyn |
---|
| 1153 | DO k = nzb+1, nzt |
---|
[1] | 1154 | |
---|
[1517] | 1155 | !-- *VOCL STMT,IF(10) |
---|
| 1156 | IF ( sw(k,j) == 1.0_wp ) THEN |
---|
| 1157 | snenn = sk_p(k+1,j,i) - sk_p(k-1,j,i) |
---|
| 1158 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 1159 | sterm = ( sk_p(k,j,i) - sk_p(k-1,j,i) ) / snenn |
---|
| 1160 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 1161 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 1162 | |
---|
[1517] | 1163 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 1164 | |
---|
[1517] | 1165 | cip = MAX( 0.0_wp, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
[1] | 1166 | |
---|
[1517] | 1167 | ippe(k,j) = sk_p(k-1,j,i) * cip + snenn * ( & |
---|
| 1168 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 1169 | eex(ix) - & |
---|
| 1170 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 1171 | ) & |
---|
| 1172 | ) |
---|
| 1173 | IF ( sterm == 0.0001_wp ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
| 1174 | IF ( sterm == 0.9999_wp ) ippe(k,j) = sk_p(k,j,i) * cip |
---|
[1] | 1175 | |
---|
[1517] | 1176 | snenn = sk_p(k-1,j,i) - sk_p(k+1,j,i) |
---|
| 1177 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 1178 | sterm = ( sk_p(k,j,i) - sk_p(k+1,j,i) ) / snenn |
---|
| 1179 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 1180 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 1181 | |
---|
[1517] | 1182 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 1183 | |
---|
[1517] | 1184 | cim = -MIN( 0.0_wp, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
[1] | 1185 | |
---|
[1517] | 1186 | imme(k,j) = sk_p(k+1,j,i) * cim + snenn * ( & |
---|
| 1187 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 1188 | eex(ix) - & |
---|
| 1189 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 1190 | ) & |
---|
| 1191 | ) |
---|
| 1192 | IF ( sterm == 0.0001_wp ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 1193 | IF ( sterm == 0.9999_wp ) imme(k,j) = sk_p(k,j,i) * cim |
---|
| 1194 | ENDIF |
---|
[1] | 1195 | |
---|
[1517] | 1196 | !-- *VOCL STMT,IF(10) |
---|
| 1197 | IF ( sw(k+1,j) == 1.0_wp ) THEN |
---|
| 1198 | snenn = sk_p(k,j,i) - sk_p(k+2,j,i) |
---|
| 1199 | IF ( ABS( snenn ) .LT. 1E-9_wp ) snenn = 1E-9_wp |
---|
| 1200 | sterm = ( sk_p(k+1,j,i) - sk_p(k+2,j,i) ) / snenn |
---|
| 1201 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 1202 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 1203 | |
---|
[1517] | 1204 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 1205 | |
---|
[1517] | 1206 | cim = -MIN( 0.0_wp, w(k,j,i) * dt_3d * ddzw(k) ) |
---|
[1] | 1207 | |
---|
[1517] | 1208 | impe(k,j) = sk_p(k+2,j,i) * cim + snenn * ( & |
---|
| 1209 | aex(ix) * cim + bex(ix) / dex(ix) * ( & |
---|
| 1210 | eex(ix) - & |
---|
| 1211 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cim ) ) & |
---|
| 1212 | ) & |
---|
| 1213 | ) |
---|
| 1214 | IF ( sterm == 0.0001_wp ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
| 1215 | IF ( sterm == 0.9999_wp ) impe(k,j) = sk_p(k+1,j,i) * cim |
---|
| 1216 | ENDIF |
---|
[1] | 1217 | |
---|
[1517] | 1218 | !-- *VOCL STMT,IF(10) |
---|
| 1219 | IF ( sw(k-1,j) == 1.0_wp ) THEN |
---|
| 1220 | snenn = sk_p(k,j,i) - sk_p(k-2,j,i) |
---|
| 1221 | IF ( ABS( snenn ) < 1E-9_wp ) snenn = 1E-9_wp |
---|
| 1222 | sterm = ( sk_p(k-1,j,i) - sk_p(k-2,j,i) ) / snenn |
---|
| 1223 | sterm = MIN( sterm, 0.9999_wp ) |
---|
| 1224 | sterm = MAX( sterm, 0.0001_wp ) |
---|
[1] | 1225 | |
---|
[1517] | 1226 | ix = INT( sterm * 1000 ) + 1 |
---|
[1] | 1227 | |
---|
[1517] | 1228 | cip = MAX( 0.0_wp, w(k-1,j,i) * dt_3d * ddzw(k) ) |
---|
[1] | 1229 | |
---|
[1517] | 1230 | ipme(k,j) = sk_p(k-2,j,i) * cip + snenn * ( & |
---|
| 1231 | aex(ix) * cip + bex(ix) / dex(ix) * ( & |
---|
| 1232 | eex(ix) - & |
---|
| 1233 | EXP( dex(ix)*0.5_wp * ( 1.0_wp - 2.0_wp * cip ) ) & |
---|
| 1234 | ) & |
---|
| 1235 | ) |
---|
| 1236 | IF ( sterm == 0.0001_wp ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
| 1237 | IF ( sterm == 0.9999_wp ) ipme(k,j) = sk_p(k-1,j,i) * cip |
---|
| 1238 | ENDIF |
---|
[1] | 1239 | |
---|
[1517] | 1240 | ENDDO |
---|
[1] | 1241 | ENDDO |
---|
[1517] | 1242 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'pause' ) |
---|
[1] | 1243 | |
---|
| 1244 | ! |
---|
[1517] | 1245 | !-- Prognostic equation |
---|
| 1246 | DO j = nys, nyn |
---|
| 1247 | DO k = nzb+1, nzt |
---|
| 1248 | fplus = ( 1.0_wp - sw(k,j) ) * ippb(k,j) + sw(k,j) * ippe(k,j) & |
---|
| 1249 | - ( 1.0_wp - sw(k+1,j) ) * impb(k,j) - sw(k+1,j) * impe(k,j) |
---|
| 1250 | fminus = ( 1.0_wp - sw(k-1,j) ) * ipmb(k,j) + sw(k-1,j) * ipme(k,j) & |
---|
| 1251 | - ( 1.0_wp - sw(k,j) ) * immb(k,j) - sw(k,j) * imme(k,j) |
---|
| 1252 | tendcy = fplus - fminus |
---|
[1] | 1253 | ! |
---|
[1517] | 1254 | !-- Removed in order to optimise speed |
---|
| 1255 | ! ffmax = MAX( ABS( fplus ), ABS( fminus ), 1E-35_wp ) |
---|
| 1256 | ! IF ( ( ABS( tendcy ) / ffmax ) < 1E-7_wp ) tendcy = 0.0 |
---|
[1] | 1257 | ! |
---|
[1517] | 1258 | !-- Density correction because of possible remaining divergences |
---|
| 1259 | d_new = d(k,j,i) - ( w(k,j,i) - w(k-1,j,i) ) * dt_3d * ddzw(k) |
---|
| 1260 | sk_p(k,j,i) = ( ( 1.0_wp + d(k,j,i) ) * sk_p(k,j,i) - tendcy ) / & |
---|
| 1261 | ( 1.0_wp + d_new ) |
---|
[1] | 1262 | ! |
---|
[1517] | 1263 | !-- Store heat flux for subsequent statistics output. |
---|
| 1264 | !-- array m1 is here used as temporary storage |
---|
| 1265 | m1(k,j) = fplus / dt_3d * dzw(k) |
---|
| 1266 | ENDDO |
---|
[1] | 1267 | ENDDO |
---|
| 1268 | |
---|
| 1269 | ! |
---|
[1517] | 1270 | !-- Sum up heat flux in order to order to obtain horizontal averages |
---|
| 1271 | IF ( sk_char == 'pt' ) THEN |
---|
| 1272 | DO sr = 0, statistic_regions |
---|
| 1273 | DO j = nys, nyn |
---|
| 1274 | DO k = nzb+1, nzt |
---|
| 1275 | sums_wsts_bc_l(k,sr) = sums_wsts_bc_l(k,sr) + & |
---|
| 1276 | m1(k,j) * rmask(j,i,sr) |
---|
| 1277 | ENDDO |
---|
[1] | 1278 | ENDDO |
---|
| 1279 | ENDDO |
---|
[1517] | 1280 | ENDIF |
---|
[1] | 1281 | |
---|
[1517] | 1282 | ENDDO ! End of the advection in z-direction |
---|
| 1283 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'continue' ) |
---|
| 1284 | CALL cpu_log( log_point_s(12), 'advec_s_bc:exp', 'stop' ) |
---|
[1] | 1285 | |
---|
| 1286 | ! |
---|
[1517] | 1287 | !-- Deallocate temporary arrays |
---|
| 1288 | DEALLOCATE( a0, a1, a2, a12, a22, immb, imme, impb, impe, ipmb, ipme, & |
---|
| 1289 | ippb, ippe, m1, sw ) |
---|
[1] | 1290 | |
---|
| 1291 | ! |
---|
[1517] | 1292 | !-- Store results as tendency and deallocate local array |
---|
| 1293 | DO i = nxl, nxr |
---|
| 1294 | DO j = nys, nyn |
---|
| 1295 | DO k = nzb+1, nzt |
---|
| 1296 | tend(k,j,i) = tend(k,j,i) + ( sk_p(k,j,i) - sk(k,j,i) ) / dt_3d |
---|
| 1297 | ENDDO |
---|
[1] | 1298 | ENDDO |
---|
| 1299 | ENDDO |
---|
| 1300 | |
---|
[1517] | 1301 | DEALLOCATE( sk_p ) |
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[1] | 1302 | |
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[1517] | 1303 | END SUBROUTINE advec_s_bc |
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| 1304 | |
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| 1305 | END MODULE advec_s_bc_mod |
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