[3447] | 1 | !> @file src/inifor_transform.f90 |
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[2696] | 2 | !------------------------------------------------------------------------------! |
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[2718] | 3 | ! This file is part of the PALM model system. |
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[2696] | 4 | ! |
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[2718] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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[2696] | 8 | ! version. |
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| 9 | ! |
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[2718] | 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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[2696] | 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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[4481] | 17 | ! Copyright 2017-2020 Leibniz Universitaet Hannover |
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| 18 | ! Copyright 2017-2020 Deutscher Wetterdienst Offenbach |
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[2696] | 19 | !------------------------------------------------------------------------------! |
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| 20 | ! |
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| 21 | ! Current revisions: |
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| 22 | ! ----------------- |
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[4675] | 23 | ! |
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| 24 | ! |
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[3183] | 25 | ! Former revisions: |
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| 26 | ! ----------------- |
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| 27 | ! $Id: inifor_transform.f90 4756 2020-10-26 10:05:58Z raasch $ |
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[4756] | 28 | ! Fixed an error in surface pressure extrapolation where the cosmo grid was |
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| 29 | ! misinterpreted as palm grid |
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| 30 | ! Improved code readability and formatting |
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| 31 | ! |
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| 32 | ! |
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| 33 | ! 4714 2020-09-29 12:47:35Z eckhard |
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[4714] | 34 | ! Fixed off-by-one indexing error for profile quantities |
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| 35 | ! |
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| 36 | ! |
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| 37 | ! 4675 2020-09-11 10:00:26Z eckhard |
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[4675] | 38 | ! Improved code formatting |
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| 39 | ! |
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| 40 | ! |
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| 41 | ! 4553 2020-06-03 16:34:15Z eckhard |
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[4553] | 42 | ! Improved code readability and documentation |
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| 43 | ! |
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| 44 | ! |
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| 45 | ! 4523 2020-05-07 15:58:16Z eckhard |
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[4523] | 46 | ! bugfix: pressure extrapolation |
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| 47 | ! respect integer working precision (iwp) specified in inifor_defs.f90 |
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| 48 | ! moved fill_water_cells() routine here |
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| 49 | ! remove unused routine, appropriately renamed constand_density_pressure() |
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| 50 | ! |
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| 51 | ! |
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| 52 | ! 4481 2020-03-31 18:55:54Z maronga |
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[3866] | 53 | ! Use PALM's working precision |
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| 54 | ! Improved coding style |
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| 55 | ! |
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| 56 | ! |
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| 57 | ! 3785 2019-03-06 10:41:14Z eckhard |
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[3779] | 58 | ! Remove basic state pressure before computing geostrophic wind |
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| 59 | ! - Introduced new level-based profile averaging routine that does not rely on |
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| 60 | ! external weights average_profile() |
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| 61 | ! - Renamed original weights-based routine average_profile() -> |
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| 62 | ! interp_average_profile() |
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| 63 | ! Average geostrophic wind components on coarse COSMO levels instead of fine PALM levels |
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| 64 | ! - Introduced new profile interpolation routine for interpolating single |
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| 65 | ! profiles from COSMO to PALM levels |
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| 66 | ! - Renamed original array variant interpolate_1d() -> interpolate_1d_arr() |
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| 67 | ! |
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| 68 | ! |
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| 69 | ! |
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| 70 | ! 3716 2019-02-05 17:02:38Z eckhard |
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[3716] | 71 | ! Include out-of-bounds error message in log |
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| 72 | ! |
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| 73 | ! |
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| 74 | ! 3680 2019-01-18 14:54:12Z knoop |
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[3678] | 75 | ! Check if set of averaging columns is empty |
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| 76 | ! |
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| 77 | ! |
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| 78 | ! 3618 2018-12-10 13:25:22Z eckhard |
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[3618] | 79 | ! Prefixed all INIFOR modules with inifor_, removed unused variables |
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| 80 | ! |
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| 81 | ! |
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| 82 | ! 3615 2018-12-10 07:21:03Z raasch |
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[3615] | 83 | ! bugfix: abort replaced by inifor_abort |
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| 84 | ! |
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| 85 | ! 3614 2018-12-10 07:05:46Z raasch |
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[3614] | 86 | ! unused variables removed |
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| 87 | ! |
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| 88 | ! 3613 2018-12-07 18:20:37Z eckhard |
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[3613] | 89 | ! Use averaged heights profile for level-based averaging instead of modified |
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| 90 | ! COSMO heights array |
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| 91 | ! |
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| 92 | ! |
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| 93 | ! 3557 2018-11-22 16:01:22Z eckhard |
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[3557] | 94 | ! Updated documentation |
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| 95 | ! |
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| 96 | ! |
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| 97 | ! 3537 2018-11-20 10:53:14Z eckhard |
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[3534] | 98 | ! bugfix: working precision added |
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| 99 | ! |
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| 100 | ! 3447 2018-10-29 15:52:54Z eckhard |
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[3447] | 101 | ! Renamed source files for compatibilty with PALM build system |
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| 102 | ! |
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| 103 | ! |
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| 104 | ! 3395 2018-10-22 17:32:49Z eckhard |
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[3395] | 105 | ! Switched addressing of averaging regions from index bounds to list of columns |
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| 106 | ! Added routines for the computation of geostrophic winds including: |
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| 107 | ! - the downward extrapolation of density (linear) and |
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| 108 | ! - pressure (hydrostatic equation) and |
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| 109 | ! - rotation of geostrophic wind components to PALM frame of reference |
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| 110 | ! |
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| 111 | ! 3183 2018-07-27 14:25:55Z suehring |
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[3182] | 112 | ! Introduced new PALM grid stretching |
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| 113 | ! Removed unnecessary subroutine parameters |
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| 114 | ! Renamed kcur to k_intermediate |
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[2696] | 115 | ! |
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| 116 | ! |
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[3183] | 117 | ! 3182 2018-07-27 13:36:03Z suehring |
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[2696] | 118 | ! Initial revision |
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| 119 | ! |
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| 120 | ! |
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| 121 | ! |
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| 122 | ! Authors: |
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| 123 | ! -------- |
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[3557] | 124 | !> @author Eckhard Kadasch (Deutscher Wetterdienst, Offenbach) |
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[2696] | 125 | ! |
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| 126 | ! Description: |
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| 127 | ! ------------ |
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| 128 | !> The transform module provides INIFOR's low-level transformation and |
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| 129 | !> interpolation routines. The rotated-pole transformation routines phirot2phi, |
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| 130 | !> phi2phirot, rlarot2rla, rla2rlarot, uv2uvrot, and uvrot2uv are adapted from |
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| 131 | !> int2lm's utility routines. |
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| 132 | !------------------------------------------------------------------------------! |
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[3680] | 133 | #if defined ( __netcdf ) |
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[3618] | 134 | MODULE inifor_transform |
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[2696] | 135 | |
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[3618] | 136 | USE inifor_control |
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| 137 | USE inifor_defs, & |
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[4523] | 138 | ONLY: BETA, G, P_SL, PI, RD, T_SL, TO_DEGREES, TO_RADIANS, WATER_ID, & |
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| 139 | iwp, wp |
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[3618] | 140 | USE inifor_types |
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| 141 | USE inifor_util, & |
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[3779] | 142 | ONLY: get_basic_state, real_to_str, str |
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[2696] | 143 | |
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| 144 | IMPLICIT NONE |
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| 145 | |
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| 146 | CONTAINS |
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| 147 | |
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[3779] | 148 | |
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[3866] | 149 | SUBROUTINE interpolate_1d(in_arr, out_arr, outgrid) |
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| 150 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 151 | REAL(wp), INTENT(IN) :: in_arr(:) |
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| 152 | REAL(wp), INTENT(OUT) :: out_arr(:) |
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[3779] | 153 | |
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[4523] | 154 | INTEGER(iwp) :: k, l, nz |
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[3779] | 155 | |
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[3866] | 156 | nz = UBOUND(out_arr, 1) |
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[3779] | 157 | |
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[3866] | 158 | DO k = nz, LBOUND(out_arr, 1), -1 |
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[3779] | 159 | |
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| 160 | ! |
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[3866] | 161 | !-- TODO: Remove IF clause and extrapolate based on a critical vertical |
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| 162 | !-- TODO: index marking the lower bound of COSMO-DE data coverage. |
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| 163 | !-- Check for negative interpolation weights indicating grid points |
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| 164 | !-- below COSMO-DE domain and extrapolate from the top in such cells. |
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| 165 | IF (outgrid%w(1,k,1) < -1.0_wp .AND. k < nz) THEN |
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| 166 | out_arr(k) = out_arr(k+1) |
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| 167 | ELSE |
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| 168 | out_arr(k) = 0.0_wp |
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| 169 | DO l = 1, 2 |
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| 170 | out_arr(k) = out_arr(k) + & |
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| 171 | outgrid%w(1,k,l) * in_arr(outgrid%kkk(1,k,l) ) |
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| 172 | ENDDO |
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| 173 | ENDIF |
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| 174 | ENDDO |
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[3779] | 175 | |
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[3866] | 176 | END SUBROUTINE interpolate_1d |
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[3779] | 177 | |
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| 178 | |
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[2696] | 179 | !------------------------------------------------------------------------------! |
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| 180 | ! Description: |
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| 181 | ! ------------ |
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| 182 | !> Interpolates linearly in the vertical direction in very column (i,j) of the |
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| 183 | !> output array outvar(i,j,:) using values of the source array invar. In cells |
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| 184 | !> that are outside the COSMO-DE domain, indicated by negative interpolation |
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| 185 | !> weights, extrapolate constantly from the cell above. |
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| 186 | !> |
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| 187 | !> Input parameters: |
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| 188 | !> ----------------- |
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| 189 | !> invar : Array of source data |
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| 190 | !> |
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[3866] | 191 | !> outgrid%kk : Array of vertical neighbour indices. kk(i,j,k,:) contain the |
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[2696] | 192 | !> indices of the two vertical neighbors of PALM-4U point (i,j,k) on the |
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| 193 | !> input grid corresponding to the source data invar. |
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| 194 | !> |
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[3866] | 195 | !> outgrid%w_verti : Array of weights for vertical linear interpolation |
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[2696] | 196 | !> corresponding to neighbour points indexed by kk. |
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| 197 | !> |
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| 198 | !> Output papameters: |
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| 199 | !> ------------------ |
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| 200 | !> outvar : Array of interpolated data |
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| 201 | !------------------------------------------------------------------------------! |
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[3866] | 202 | SUBROUTINE interpolate_1d_arr(in_arr, out_arr, outgrid) |
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| 203 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 204 | REAL(wp), INTENT(IN) :: in_arr(0:,0:,0:) |
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| 205 | REAL(wp), INTENT(OUT) :: out_arr(0:,0:,:) |
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[2696] | 206 | |
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[4523] | 207 | INTEGER(iwp) :: i, j, k, l, nz |
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[2696] | 208 | |
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[3866] | 209 | nz = UBOUND(out_arr, 3) |
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[2696] | 210 | |
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[3866] | 211 | DO j = LBOUND(out_arr, 2), UBOUND(out_arr, 2) |
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| 212 | DO i = LBOUND(out_arr, 1), UBOUND(out_arr, 1) |
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| 213 | DO k = nz, LBOUND(out_arr, 3), -1 |
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[2696] | 214 | |
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[3557] | 215 | ! |
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[3866] | 216 | !-- TODO: Remove IF clause and extrapolate based on a critical vertical |
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| 217 | !-- TODO: index marking the lower bound of COSMO-DE data coverage. |
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| 218 | !-- Check for negative interpolation weights indicating grid points |
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| 219 | !-- below COSMO-DE domain and extrapolate from the top in such cells. |
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| 220 | IF (outgrid%w_verti(i,j,k,1) < -1.0_wp .AND. k < nz) THEN |
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| 221 | out_arr(i,j,k) = out_arr(i,j,k+1) |
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| 222 | ELSE |
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| 223 | out_arr(i,j,k) = 0.0_wp |
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| 224 | DO l = 1, 2 |
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| 225 | out_arr(i,j,k) = out_arr(i,j,k) + & |
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| 226 | outgrid%w_verti(i,j,k,l) * & |
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| 227 | in_arr(i,j,outgrid%kk(i,j,k, l) ) |
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| 228 | ENDDO |
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| 229 | ENDIF |
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| 230 | ENDDO |
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| 231 | ENDDO |
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| 232 | ENDDO |
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| 233 | END SUBROUTINE interpolate_1d_arr |
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[2696] | 234 | |
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| 235 | |
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| 236 | !------------------------------------------------------------------------------! |
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| 237 | ! Description: |
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| 238 | ! ------------ |
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| 239 | !> Interpolates bi-linearly in horizontal planes on every k level of the output |
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| 240 | !> array outvar(:,:,k) using values of the source array invar(:,:,:). The source |
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| 241 | !> (invar) and interpolation array (outvar) need to have matching dimensions. |
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| 242 | !> |
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| 243 | !> Input parameters: |
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| 244 | !> ----------------- |
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| 245 | !> invar : Array of source data |
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| 246 | !> |
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[3866] | 247 | !> outgrid%ii,%jj : Array of neighbour indices in x and y direction. |
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[2696] | 248 | !> ii(i,j,k,:), and jj(i,j,k,:) contain the four horizontal neighbour points |
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| 249 | !> of PALM-4U point (i,j,k) on the input grid corresponding to the source |
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| 250 | !> data invar. (The outgrid carries the relationship with the ingrid in the |
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[3779] | 251 | ! form of the interpolation weights.) |
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[2696] | 252 | !> |
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[3866] | 253 | !> outgrid%w_horiz: Array of weights for horizontal bi-linear interpolation |
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[2696] | 254 | !> corresponding to neighbour points indexed by ii and jj. |
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| 255 | !> |
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| 256 | !> Output papameters: |
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| 257 | !> ------------------ |
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| 258 | !> outvar : Array of interpolated data |
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| 259 | !------------------------------------------------------------------------------! |
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[3866] | 260 | SUBROUTINE interpolate_2d(invar, outvar, outgrid, ncvar) |
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[3557] | 261 | ! |
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[3866] | 262 | !-- I index 0-based for the indices of the outvar to be consistent with the |
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| 263 | !-- outgrid indices and interpolation weights. |
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| 264 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 265 | REAL(wp), INTENT(IN) :: invar(0:,0:,0:) |
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| 266 | REAL(wp), INTENT(OUT) :: outvar(0:,0:,0:) |
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| 267 | TYPE(nc_var), INTENT(IN), OPTIONAL :: ncvar |
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[2696] | 268 | |
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[4523] | 269 | INTEGER(iwp) :: i, j, k, l |
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[2696] | 270 | |
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[3557] | 271 | ! |
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[3866] | 272 | !-- TODO: check if input dimensions are consistent, i.e. ranges are correct |
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| 273 | IF ( UBOUND(outvar, 3) .GT. UBOUND(invar, 3) ) THEN |
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| 274 | message = "Output array for '" // TRIM(ncvar%name) // "' has ' more levels (" // & |
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[4523] | 275 | TRIM(str(UBOUND(outvar, 3, kind=iwp))) // ") than input variable ("//& |
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| 276 | TRIM(str(UBOUND(invar, 3, kind=iwp))) // ")." |
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[3866] | 277 | CALL inifor_abort('interpolate_2d', message) |
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| 278 | ENDIF |
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[2696] | 279 | |
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[3866] | 280 | DO k = 0, UBOUND(outvar, 3) |
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| 281 | DO j = 0, UBOUND(outvar, 2) |
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| 282 | DO i = 0, UBOUND(outvar, 1) |
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| 283 | outvar(i,j,k) = 0.0_wp |
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| 284 | DO l = 1, 4 |
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| 285 | |
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| 286 | outvar(i,j,k) = outvar(i,j,k) + & |
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| 287 | outgrid%w_horiz(i,j,l) * invar( outgrid%ii(i,j,l), & |
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| 288 | outgrid%jj(i,j,l), & |
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| 289 | k ) |
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[3785] | 290 | ENDDO |
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[3866] | 291 | ENDDO |
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| 292 | ENDDO |
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| 293 | ENDDO |
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[2696] | 294 | |
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[3866] | 295 | END SUBROUTINE interpolate_2d |
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[2696] | 296 | |
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| 297 | |
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[3557] | 298 | !------------------------------------------------------------------------------! |
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| 299 | ! Description: |
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| 300 | ! ------------ |
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| 301 | !> Compute the horizontal average of the in_arr(:,:,:) and store it in |
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| 302 | !> out_arr(:) |
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| 303 | !------------------------------------------------------------------------------! |
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[3866] | 304 | SUBROUTINE average_2d(in_arr, out_arr, ii, jj) |
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[4523] | 305 | REAL(wp), INTENT(IN) :: in_arr(0:,0:,0:) |
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| 306 | REAL(wp), INTENT(OUT) :: out_arr(0:) |
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| 307 | INTEGER(iwp), INTENT(IN), DIMENSION(:) :: ii, jj |
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[2696] | 308 | |
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[4523] | 309 | INTEGER(iwp) :: i, j, k, l |
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| 310 | REAL(wp) :: ni |
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[2696] | 311 | |
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[3866] | 312 | IF (SIZE(ii) /= SIZE(jj)) THEN |
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| 313 | message = "Length of 'ii' and 'jj' index lists do not match." // & |
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[4523] | 314 | NEW_LINE(' ') // "ii has " // str(SIZE(ii, kind=iwp)) // " elements, " // & |
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| 315 | NEW_LINE(' ') // "jj has " // str(SIZE(jj, kind=iwp)) // "." |
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[3866] | 316 | CALL inifor_abort('average_2d', message) |
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| 317 | ENDIF |
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[3395] | 318 | |
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[3866] | 319 | IF (SIZE(ii) == 0) THEN |
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| 320 | message = "No columns to average over; " // & |
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| 321 | "size of index lists 'ii' and 'jj' is zero." |
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| 322 | CALL inifor_abort('average_2d', message) |
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| 323 | ENDIF |
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[3678] | 324 | |
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[3866] | 325 | DO k = 0, UBOUND(out_arr, 1) |
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[2696] | 326 | |
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[3866] | 327 | out_arr(k) = 0.0_wp |
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| 328 | DO l = 1, UBOUND(ii, 1) |
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| 329 | i = ii(l) |
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| 330 | j = jj(l) |
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| 331 | out_arr(k) = out_arr(k) + in_arr(i, j, k) |
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[3785] | 332 | ENDDO |
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[3395] | 333 | |
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[3866] | 334 | ENDDO |
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[2696] | 335 | |
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[3866] | 336 | ni = 1.0_wp / SIZE(ii) |
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| 337 | out_arr(:) = out_arr(:) * ni |
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[2696] | 338 | |
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[3866] | 339 | END SUBROUTINE average_2d |
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[2696] | 340 | |
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[3866] | 341 | |
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[3557] | 342 | !------------------------------------------------------------------------------! |
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| 343 | ! Description: |
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| 344 | ! ------------ |
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| 345 | !> Three-dimensional interpolation driver. Interpolates from the source_array to |
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| 346 | !> the given palm_grid. |
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| 347 | !> |
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| 348 | !> The routine separates horizontal and vertical |
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| 349 | !> interpolation. In the horizontal interpolation step, the source_array data is |
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| 350 | !> interpolated along COSMO grid levels onto the intermediate grid (vertically |
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| 351 | !> as coarse as COSMO, horizontally as fine as PALM). |
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| 352 | !------------------------------------------------------------------------------! |
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[3866] | 353 | SUBROUTINE interpolate_3d(source_array, palm_array, palm_intermediate, palm_grid) |
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| 354 | TYPE(grid_definition), INTENT(IN) :: palm_intermediate, palm_grid |
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| 355 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: source_array |
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| 356 | REAL(wp), DIMENSION(:,:,:), INTENT(OUT) :: palm_array |
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| 357 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: intermediate_array |
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[4523] | 358 | INTEGER(iwp) :: nx, ny, nlev |
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[2696] | 359 | |
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[3866] | 360 | nx = palm_intermediate%nx |
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| 361 | ny = palm_intermediate%ny |
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| 362 | nlev = palm_intermediate%nz |
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[2696] | 363 | |
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[3557] | 364 | ! |
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[3866] | 365 | !-- Interpolate from COSMO to intermediate grid. Allocating with one |
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| 366 | !-- less point in the vertical, since scalars like T have 50 instead of 51 |
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| 367 | !-- points in COSMO. |
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| 368 | ALLOCATE(intermediate_array(0:nx, 0:ny, 0:nlev-1)) ! |
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[2696] | 369 | |
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[3866] | 370 | CALL interpolate_2d(source_array, intermediate_array, palm_intermediate) |
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[2696] | 371 | |
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[3557] | 372 | ! |
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[3866] | 373 | !-- Interpolate from intermediate grid to palm_grid grid, includes |
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| 374 | !-- extrapolation for cells below COSMO domain. |
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| 375 | CALL interpolate_1d_arr(intermediate_array, palm_array, palm_grid) |
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[2696] | 376 | |
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[3866] | 377 | DEALLOCATE(intermediate_array) |
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[2696] | 378 | |
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[3866] | 379 | END SUBROUTINE interpolate_3d |
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[2696] | 380 | |
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| 381 | |
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[3557] | 382 | !------------------------------------------------------------------------------! |
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| 383 | ! Description: |
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| 384 | ! ------------ |
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| 385 | !> Average data horizontally from the source_array over the region given by the |
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| 386 | !> averaging grid 'avg_grid' and store the result in 'profile_array'. |
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| 387 | !------------------------------------------------------------------------------! |
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[3866] | 388 | SUBROUTINE interp_average_profile(source_array, profile_array, avg_grid) |
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[4756] | 389 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
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| 390 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: source_array(0:,0:,:) |
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| 391 | REAL(wp), DIMENSION(:), INTENT(OUT) :: profile_array |
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[2696] | 392 | |
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[4523] | 393 | INTEGER(iwp) :: i_source, j_source, k_profile, k_source, l, m |
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[2696] | 394 | |
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[3866] | 395 | REAL :: ni_columns |
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[2696] | 396 | |
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[3866] | 397 | profile_array(:) = 0.0_wp |
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[2696] | 398 | |
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[3866] | 399 | DO l = 1, avg_grid%n_columns |
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| 400 | i_source = avg_grid%iii(l) |
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| 401 | j_source = avg_grid%jjj(l) |
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[2696] | 402 | |
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[3557] | 403 | ! |
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[3866] | 404 | !-- Loop over PALM levels |
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| 405 | DO k_profile = avg_grid%k_min, UBOUND(profile_array, 1) |
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[3395] | 406 | |
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[3557] | 407 | ! |
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[3866] | 408 | !-- Loop over vertical interpolation neighbours |
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| 409 | DO m = 1, 2 |
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[3395] | 410 | |
---|
[3866] | 411 | k_source = avg_grid%kkk(l, k_profile, m) |
---|
[3395] | 412 | |
---|
[3866] | 413 | profile_array(k_profile) = profile_array(k_profile) & |
---|
| 414 | + avg_grid%w(l, k_profile, m) & |
---|
| 415 | * source_array(i_source, j_source, k_source) |
---|
[3557] | 416 | ! |
---|
[3866] | 417 | !-- Loop over vertical interpolation neighbours m |
---|
[3785] | 418 | ENDDO |
---|
[3395] | 419 | |
---|
[3557] | 420 | ! |
---|
[3866] | 421 | !-- Loop over PALM levels k_profile |
---|
[3785] | 422 | ENDDO |
---|
[3395] | 423 | |
---|
[3866] | 424 | ! |
---|
| 425 | !-- Loop over horizontal neighbours l |
---|
| 426 | ENDDO |
---|
[3395] | 427 | |
---|
[3866] | 428 | ni_columns = 1.0_wp / avg_grid%n_columns |
---|
| 429 | profile_array(:) = profile_array(:) * ni_columns |
---|
| 430 | |
---|
[3557] | 431 | ! |
---|
[3866] | 432 | !-- Constant extrapolation to the bottom |
---|
| 433 | profile_array(1:avg_grid%k_min-1) = profile_array(avg_grid%k_min) |
---|
[3395] | 434 | |
---|
[3866] | 435 | END SUBROUTINE interp_average_profile |
---|
[3779] | 436 | |
---|
| 437 | |
---|
| 438 | !------------------------------------------------------------------------------! |
---|
| 439 | ! Description: |
---|
| 440 | ! ------------ |
---|
| 441 | !> Average data horizontally from the source_array over the region given by the |
---|
| 442 | !> averaging grid 'avg_grid' and store the result in 'profile_array'. |
---|
| 443 | !------------------------------------------------------------------------------! |
---|
[3866] | 444 | SUBROUTINE average_profile( source_array, profile_array, avg_grid ) |
---|
[3779] | 445 | |
---|
[4756] | 446 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
| 447 | REAL(wp), INTENT(IN) :: source_array(0:,0:,:) |
---|
| 448 | REAL(wp), INTENT(OUT) :: profile_array(:) |
---|
[3779] | 449 | |
---|
[4523] | 450 | INTEGER(iwp) :: i_source, j_source, l, nz, nlev |
---|
[3779] | 451 | |
---|
[3866] | 452 | REAL(wp) :: ni_columns |
---|
[3779] | 453 | |
---|
[3866] | 454 | nlev = SIZE( source_array, 3 ) |
---|
| 455 | nz = SIZE( profile_array, 1 ) |
---|
[3779] | 456 | |
---|
[3866] | 457 | IF ( nlev /= nz ) THEN |
---|
| 458 | message = "Lengths of input and output profiles do not match: " // & |
---|
| 459 | "cosmo_pressure(" // TRIM( str( nlev ) ) // & |
---|
| 460 | "), profile_array(" // TRIM( str( nz ) ) // ")." |
---|
[4675] | 461 | CALL inifor_abort( 'average_profile', message ) |
---|
[3866] | 462 | ENDIF |
---|
| 463 | |
---|
| 464 | profile_array(:) = 0.0_wp |
---|
[3779] | 465 | |
---|
[3866] | 466 | DO l = 1, avg_grid%n_columns |
---|
[3779] | 467 | |
---|
[3866] | 468 | i_source = avg_grid%iii(l) |
---|
| 469 | j_source = avg_grid%jjj(l) |
---|
[3779] | 470 | |
---|
[3866] | 471 | profile_array(:) = profile_array(:) & |
---|
| 472 | + source_array(i_source, j_source, :) |
---|
[3779] | 473 | |
---|
[3866] | 474 | ENDDO |
---|
[3779] | 475 | |
---|
[3866] | 476 | ni_columns = 1.0_wp / avg_grid%n_columns |
---|
| 477 | profile_array(:) = profile_array(:) * ni_columns |
---|
[3779] | 478 | |
---|
[3866] | 479 | END SUBROUTINE average_profile |
---|
[2696] | 480 | |
---|
| 481 | |
---|
[3557] | 482 | !------------------------------------------------------------------------------! |
---|
| 483 | ! Description: |
---|
| 484 | ! ------------ |
---|
[3779] | 485 | !> This is a sister routine to average_profile() and differes from it in that |
---|
| 486 | !> it removes the COSMO basic state pressure from the input array before |
---|
| 487 | !> averaging. |
---|
| 488 | !------------------------------------------------------------------------------! |
---|
[3866] | 489 | SUBROUTINE average_pressure_perturbation( cosmo_pressure, profile_array, & |
---|
| 490 | cosmo_grid, avg_grid ) |
---|
[3779] | 491 | |
---|
[4756] | 492 | TYPE(grid_definition), INTENT(IN) :: cosmo_grid, avg_grid |
---|
| 493 | REAL(wp), INTENT(IN) :: cosmo_pressure(0:,0:,:) |
---|
| 494 | REAL(wp), INTENT(OUT) :: profile_array(:) |
---|
[3779] | 495 | |
---|
[4756] | 496 | INTEGER(iwp) :: i_source, j_source, l, nz, nlev |
---|
| 497 | REAL(wp) :: ni_columns |
---|
| 498 | REAL(wp), ALLOCATABLE :: basic_state_pressure(:) |
---|
[3779] | 499 | |
---|
[3866] | 500 | nlev = SIZE( cosmo_pressure, 3 ) |
---|
| 501 | nz = SIZE( profile_array, 1 ) |
---|
[3779] | 502 | |
---|
[3866] | 503 | IF ( nlev /= nz ) THEN |
---|
| 504 | message = "Lengths of input and output profiles do not match: " // & |
---|
| 505 | "cosmo_pressure(" // TRIM( str( nlev ) ) // & |
---|
| 506 | "), profile_array(" // TRIM( str( nz ) ) // ")." |
---|
| 507 | CALL inifor_abort('average_pressure_perturbation', message) |
---|
| 508 | ENDIF |
---|
[3779] | 509 | |
---|
[3866] | 510 | ALLOCATE( basic_state_pressure(nz) ) |
---|
| 511 | profile_array(:) = 0.0_wp |
---|
[3779] | 512 | |
---|
[3866] | 513 | DO l = 1, avg_grid%n_columns |
---|
| 514 | i_source = avg_grid%iii(l) |
---|
| 515 | j_source = avg_grid%jjj(l) |
---|
[3779] | 516 | |
---|
| 517 | ! |
---|
[3866] | 518 | !-- Compute pressure perturbation by removing COSMO basic state pressure |
---|
| 519 | CALL get_basic_state( cosmo_grid%hfl(i_source,j_source,:), BETA, & |
---|
| 520 | P_SL, T_SL, RD, G, basic_state_pressure ) |
---|
[3779] | 521 | |
---|
[3866] | 522 | profile_array(:) = profile_array(:) & |
---|
| 523 | + cosmo_pressure(i_source, j_source, :) & |
---|
| 524 | - basic_state_pressure(:) |
---|
[3779] | 525 | |
---|
| 526 | ! |
---|
[3866] | 527 | !-- Loop over horizontal neighbours l |
---|
| 528 | ENDDO |
---|
[3779] | 529 | |
---|
[3866] | 530 | DEALLOCATE( basic_state_pressure ) |
---|
[3779] | 531 | |
---|
[3866] | 532 | ni_columns = 1.0_wp / avg_grid%n_columns |
---|
| 533 | profile_array(:) = profile_array(:) * ni_columns |
---|
[3779] | 534 | |
---|
[3866] | 535 | END SUBROUTINE average_pressure_perturbation |
---|
[3779] | 536 | |
---|
| 537 | |
---|
| 538 | !------------------------------------------------------------------------------! |
---|
| 539 | ! Description: |
---|
| 540 | ! ------------ |
---|
[4523] | 541 | !> Computes average soil values in COSMO-DE water cells from neighbouring |
---|
| 542 | !> non-water cells. This is done as a preprocessing step for the COSMO-DE |
---|
| 543 | !> soil input arrays, which contain unphysical values for water cells. |
---|
| 544 | !> |
---|
| 545 | !> This routine computes the average of up to all nine neighbouring cells |
---|
| 546 | !> or keeps the original value, if not at least one non-water neightbour |
---|
| 547 | !> is available. |
---|
| 548 | !> |
---|
| 549 | !> By repeatedly applying this step, soil data can be extrapolated into |
---|
| 550 | !> 'water' regions occupying multiple cells, one cell per iteration. |
---|
| 551 | !> |
---|
| 552 | !> Input parameters: |
---|
| 553 | !> ----------------- |
---|
| 554 | !> soiltyp : 2d map of COSMO-DE soil types |
---|
| 555 | !> nz : number of layers in the COSMO-DE soil |
---|
| 556 | !> niter : number iterations |
---|
| 557 | !> |
---|
| 558 | !> Output parameters: |
---|
| 559 | !> ------------------ |
---|
| 560 | !> array : the soil array (i.e. water content or temperature) |
---|
[3557] | 561 | !------------------------------------------------------------------------------! |
---|
[4523] | 562 | SUBROUTINE fill_water_cells(soiltyp, array, nz, niter) |
---|
| 563 | INTEGER(iwp), DIMENSION(:,:,:), INTENT(IN) :: soiltyp |
---|
| 564 | REAL(wp), DIMENSION(:,:,:), INTENT(INOUT) :: array |
---|
| 565 | INTEGER(iwp), INTENT(IN) :: nz, niter |
---|
[2696] | 566 | |
---|
[4523] | 567 | REAL(wp), DIMENSION(nz) :: column |
---|
| 568 | INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: old_soiltyp, new_soiltyp |
---|
| 569 | INTEGER(iwp) :: l, i, j, nx, ny, n_cells, ii, jj, iter |
---|
| 570 | INTEGER(iwp), DIMENSION(8) :: di, dj |
---|
[3395] | 571 | |
---|
[4523] | 572 | nx = SIZE(array, 1) |
---|
| 573 | ny = SIZE(array, 2) |
---|
| 574 | di = (/ -1, -1, -1, 0, 0, 1, 1, 1 /) |
---|
| 575 | dj = (/ -1, 0, 1, -1, 1, -1, 0, 1 /) |
---|
[3395] | 576 | |
---|
[4523] | 577 | ALLOCATE(old_soiltyp(SIZE(soiltyp,1), & |
---|
| 578 | SIZE(soiltyp,2) )) |
---|
[3395] | 579 | |
---|
[4523] | 580 | ALLOCATE(new_soiltyp(SIZE(soiltyp,1), & |
---|
| 581 | SIZE(soiltyp,2) )) |
---|
[3395] | 582 | |
---|
[4523] | 583 | old_soiltyp(:,:) = soiltyp(:,:,1) |
---|
| 584 | new_soiltyp(:,:) = soiltyp(:,:,1) |
---|
[3395] | 585 | |
---|
[4523] | 586 | DO iter = 1, niter |
---|
[3395] | 587 | |
---|
[4523] | 588 | DO j = 1, ny |
---|
| 589 | DO i = 1, nx |
---|
| 590 | |
---|
| 591 | IF (old_soiltyp(i,j) == WATER_ID) THEN |
---|
[3395] | 592 | |
---|
[4523] | 593 | n_cells = 0 |
---|
| 594 | column(:) = 0.0_wp |
---|
| 595 | DO l = 1, SIZE(di) |
---|
[3395] | 596 | |
---|
[4523] | 597 | ii = MIN(nx, MAX(1_iwp, i + di(l))) |
---|
| 598 | jj = MIN(ny, MAX(1_iwp, j + dj(l))) |
---|
| 599 | |
---|
| 600 | IF (old_soiltyp(ii,jj) .NE. WATER_ID) THEN |
---|
| 601 | n_cells = n_cells + 1 |
---|
| 602 | column(:) = column(:) + array(ii,jj,:) |
---|
| 603 | ENDIF |
---|
| 604 | |
---|
| 605 | ENDDO |
---|
| 606 | |
---|
| 607 | ! |
---|
| 608 | !-- Overwrite if at least one non-water neighbour cell is available |
---|
| 609 | IF (n_cells > 0) THEN |
---|
| 610 | array(i,j,:) = column(:) / n_cells |
---|
| 611 | new_soiltyp(i,j) = 0 |
---|
| 612 | ENDIF |
---|
| 613 | |
---|
| 614 | ENDIF |
---|
| 615 | |
---|
| 616 | ENDDO |
---|
| 617 | ENDDO |
---|
| 618 | |
---|
| 619 | old_soiltyp(:,:) = new_soiltyp(:,:) |
---|
| 620 | |
---|
[3866] | 621 | ENDDO |
---|
[3395] | 622 | |
---|
[4523] | 623 | DEALLOCATE(old_soiltyp, new_soiltyp) |
---|
[3395] | 624 | |
---|
[4523] | 625 | END SUBROUTINE fill_water_cells |
---|
[3395] | 626 | |
---|
[4523] | 627 | |
---|
[3395] | 628 | !------------------------------------------------------------------------------! |
---|
| 629 | ! Description: |
---|
| 630 | ! ------------ |
---|
[4756] | 631 | !> Takes the averaged pressure profile p_palm and sets the lowest entry to the |
---|
| 632 | !> extrapolated pressure at the surface, assuming a linear density profile. |
---|
[3395] | 633 | !------------------------------------------------------------------------------! |
---|
[4756] | 634 | SUBROUTINE get_surface_pressure(p_palm, rho_cosmo, avg_grid) |
---|
| 635 | REAL(wp), DIMENSION(:), INTENT(IN) :: rho_cosmo |
---|
| 636 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: p_palm |
---|
[3866] | 637 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
[3395] | 638 | |
---|
[4756] | 639 | REAL(wp) :: drhodz_surface_cosmo |
---|
| 640 | INTEGER(iwp) :: k_min_palm |
---|
[3395] | 641 | |
---|
[4756] | 642 | drhodz_surface_cosmo = & |
---|
| 643 | ( rho_cosmo(2) - rho_cosmo(1) ) / & |
---|
| 644 | ( avg_grid%intermediate_h(1,1,2) - avg_grid%intermediate_h(1,1,1) ) |
---|
[3395] | 645 | |
---|
[4756] | 646 | k_min_palm = avg_grid%k_min |
---|
[3395] | 647 | |
---|
[4756] | 648 | p_palm(1) = linear_density_pressure( & |
---|
| 649 | p0 = p_palm(k_min_palm), & |
---|
| 650 | z0 = avg_grid%z(k_min_palm), & |
---|
| 651 | rho00 = rho_cosmo(1), & |
---|
| 652 | z00 = avg_grid%intermediate_h(1,1,1), & |
---|
| 653 | drhodz = drhodz_surface_cosmo, & |
---|
| 654 | g = G, & |
---|
| 655 | z = 0.0_wp & |
---|
| 656 | ) |
---|
| 657 | |
---|
[3866] | 658 | END SUBROUTINE get_surface_pressure |
---|
[3395] | 659 | |
---|
| 660 | |
---|
[4756] | 661 | !------------------------------------------------------------------------------! |
---|
| 662 | ! Description: |
---|
| 663 | ! ----------- |
---|
| 664 | !> Computes the hydrostatic pressure p at height z given the pressure p0 at |
---|
| 665 | !> height z0. The pressure is computed based on the solution of the hydrostatic |
---|
| 666 | !> equation assuming a linear density profile with density rho00 at z00 and the |
---|
| 667 | !> vertical density gradient drhodz. |
---|
| 668 | !------------------------------------------------------------------------------! |
---|
| 669 | FUNCTION linear_density_pressure(p0, z0, rho00, z00, drhodz, g, z) RESULT(p) |
---|
[3395] | 670 | |
---|
[4756] | 671 | REAL(wp), INTENT(IN) :: p0, z0, rho00, z00, drhodz, g, z |
---|
[3866] | 672 | REAL(wp) :: p |
---|
[3395] | 673 | |
---|
[4756] | 674 | p = p0 - ( z - z0 ) * g * ( & |
---|
| 675 | rho00 + 0.5_wp * drhodz * ( z + z0 - 2.0_wp * z00 ) & |
---|
| 676 | ) |
---|
[3395] | 677 | |
---|
[4523] | 678 | END FUNCTION linear_density_pressure |
---|
[3395] | 679 | |
---|
[4756] | 680 | !------------------------------------------------------------------------------! |
---|
[2696] | 681 | ! Description: |
---|
| 682 | ! ----------- |
---|
[3395] | 683 | !> This routine computes profiles of the two geostrophic wind components ug and |
---|
| 684 | !> vg. |
---|
[4756] | 685 | !------------------------------------------------------------------------------! |
---|
[3866] | 686 | SUBROUTINE geostrophic_winds(p_north, p_south, p_east, p_west, rho, f3, & |
---|
| 687 | Lx, Ly, phi_n, lam_n, phi_g, lam_g, ug, vg) |
---|
[3395] | 688 | |
---|
[3866] | 689 | REAL(wp), DIMENSION(:), INTENT(IN) :: p_north, p_south, p_east, p_west, & |
---|
[3395] | 690 | rho |
---|
[3866] | 691 | REAL(wp), INTENT(IN) :: f3, Lx, Ly, phi_n, lam_n, phi_g, lam_g |
---|
| 692 | REAL(wp), DIMENSION(:), INTENT(OUT) :: ug, vg |
---|
| 693 | REAL(wp) :: facx, facy |
---|
[3395] | 694 | |
---|
[3866] | 695 | facx = 1.0_wp / (Lx * f3) |
---|
| 696 | facy = 1.0_wp / (Ly * f3) |
---|
[3395] | 697 | ug(:) = - facy / rho(:) * (p_north(:) - p_south(:)) |
---|
| 698 | vg(:) = facx / rho(:) * (p_east(:) - p_west(:)) |
---|
| 699 | |
---|
| 700 | CALL rotate_vector_field( & |
---|
| 701 | ug, vg, angle = meridian_convergence_rotated(phi_n, lam_n, phi_g, lam_g)& |
---|
| 702 | ) |
---|
| 703 | |
---|
[3866] | 704 | END SUBROUTINE geostrophic_winds |
---|
[3395] | 705 | |
---|
| 706 | |
---|
[4756] | 707 | !------------------------------------------------------------------------------! |
---|
[3395] | 708 | ! Description: |
---|
| 709 | ! ----------- |
---|
[2696] | 710 | !> This routine computes the inverse Plate Carree projection, i.e. in projects |
---|
| 711 | !> Cartesian coordinates (x,y) onto a sphere. It returns the latitude and |
---|
| 712 | !> lngitude of a geographical system centered at x0 and y0. |
---|
[4756] | 713 | !------------------------------------------------------------------------------! |
---|
[3866] | 714 | SUBROUTINE inv_plate_carree(x, y, x0, y0, r, lat, lon) |
---|
| 715 | REAL(wp), INTENT(IN) :: x(:), y(:), x0, y0, r |
---|
| 716 | REAL(wp), INTENT(OUT) :: lat(:), lon(:) |
---|
| 717 | |
---|
| 718 | REAL(wp) :: ri |
---|
[2696] | 719 | |
---|
[3557] | 720 | ! |
---|
[3866] | 721 | !-- TODO check dimensions of lat/lon and y/x match |
---|
[2696] | 722 | |
---|
[3866] | 723 | ri = 1.0_wp / r |
---|
| 724 | |
---|
| 725 | lat(:) = (y(:) - y0) * ri |
---|
| 726 | lon(:) = (x(:) - x0) * ri |
---|
| 727 | END SUBROUTINE |
---|
[2696] | 728 | |
---|
| 729 | |
---|
[4756] | 730 | !------------------------------------------------------------------------------! |
---|
[2696] | 731 | ! Description: |
---|
| 732 | ! ------------ |
---|
| 733 | !> Computes the reverse Plate-Carree projection of a x or y position on a |
---|
| 734 | !> Cartesian grid. |
---|
| 735 | !> |
---|
| 736 | !> Input parameters: |
---|
| 737 | !> ----------------- |
---|
| 738 | !> xy : x or y coordinate of the Cartasian grid point [m]. |
---|
| 739 | !> |
---|
| 740 | !> xy0 : x or y coordinate that coincides with the origin of the underlying |
---|
| 741 | !> sperical system (crossing point of the equator and prime meridian) [m]. |
---|
| 742 | !> |
---|
| 743 | !> r : Radius of the of the underlying sphere, e.g. EARTH_RADIUS [m]. |
---|
| 744 | !> |
---|
| 745 | !> Returns: |
---|
| 746 | !> -------- |
---|
| 747 | !> project : Longitude (in case xy = x) or latitude (xy = y) of the given input |
---|
| 748 | !> coordinate xy. |
---|
| 749 | !------------------------------------------------------------------------------! |
---|
[3866] | 750 | ELEMENTAL REAL(wp) FUNCTION project(xy, xy0, r) |
---|
| 751 | REAL(wp), INTENT(IN) :: xy, xy0, r |
---|
| 752 | REAL(wp) :: ri |
---|
[2696] | 753 | |
---|
[3557] | 754 | ! |
---|
[3866] | 755 | !-- If this elemental function is called with a large array as xy, it is |
---|
| 756 | !-- computationally more efficient to precompute the inverse radius and |
---|
| 757 | !-- then muliply. |
---|
| 758 | ri = 1.0_wp / r |
---|
[2696] | 759 | |
---|
[3866] | 760 | project = (xy - xy0) * ri |
---|
[2696] | 761 | |
---|
[3866] | 762 | END FUNCTION project |
---|
[2696] | 763 | |
---|
| 764 | |
---|
[3557] | 765 | !------------------------------------------------------------------------------! |
---|
| 766 | ! Description: |
---|
| 767 | ! ------------ |
---|
| 768 | !> For a rotated-pole system with the origin at geographical latitude 'phi_c', |
---|
| 769 | !> compute the geographical latitude of its rotated north pole. |
---|
| 770 | !------------------------------------------------------------------------------! |
---|
[3866] | 771 | REAL(wp) FUNCTION phic_to_phin(phi_c) |
---|
| 772 | REAL(wp), INTENT(IN) :: phi_c |
---|
[2696] | 773 | |
---|
[3866] | 774 | phic_to_phin = 0.5_wp * PI - ABS(phi_c) |
---|
[2696] | 775 | |
---|
[3866] | 776 | END FUNCTION phic_to_phin |
---|
[2696] | 777 | |
---|
| 778 | |
---|
[3557] | 779 | !------------------------------------------------------------------------------! |
---|
| 780 | ! Description: |
---|
| 781 | ! ------------ |
---|
| 782 | !> For a rotated-pole system with the origin at geographical latitude 'phi_c' |
---|
| 783 | !> and longitude 'lam_c', compute the geographical longitude of its rotated |
---|
| 784 | !> north pole. |
---|
| 785 | !------------------------------------------------------------------------------! |
---|
[3866] | 786 | REAL(wp) FUNCTION lamc_to_lamn(phi_c, lam_c) |
---|
| 787 | REAL(wp), INTENT(IN) :: phi_c, lam_c |
---|
| 788 | |
---|
| 789 | lamc_to_lamn = lam_c |
---|
| 790 | IF (phi_c > 0.0_wp) THEN |
---|
| 791 | lamc_to_lamn = lam_c - SIGN(PI, lam_c) |
---|
| 792 | ENDIF |
---|
[2696] | 793 | |
---|
[3866] | 794 | END FUNCTION lamc_to_lamn |
---|
[2696] | 795 | |
---|
| 796 | |
---|
[3557] | 797 | !------------------------------------------------------------------------------! |
---|
| 798 | ! Description: |
---|
| 799 | ! ------------ |
---|
| 800 | !> Set gamma according to whether PALM domain is in the northern or southern |
---|
| 801 | !> hemisphere of the COSMO rotated-pole system. Gamma assumes either the |
---|
| 802 | !> value 0 or PI and is needed to work around around a bug in the |
---|
| 803 | !> rotated-pole coordinate transformations. |
---|
| 804 | !------------------------------------------------------------------------------! |
---|
[3866] | 805 | REAL(wp) FUNCTION gamma_from_hemisphere(phi_cg, phi_ref) |
---|
| 806 | REAL(wp), INTENT(IN) :: phi_cg |
---|
| 807 | REAL(wp), INTENT(IN) :: phi_ref |
---|
[3557] | 808 | |
---|
[3866] | 809 | LOGICAL :: palm_origin_is_south_of_cosmo_origin |
---|
| 810 | |
---|
| 811 | palm_origin_is_south_of_cosmo_origin = (phi_cg < phi_ref) |
---|
[2696] | 812 | |
---|
[3866] | 813 | IF (palm_origin_is_south_of_cosmo_origin) THEN |
---|
| 814 | gamma_from_hemisphere = PI |
---|
| 815 | ELSE |
---|
| 816 | gamma_from_hemisphere = 0.0_wp |
---|
| 817 | ENDIF |
---|
| 818 | END FUNCTION gamma_from_hemisphere |
---|
[2696] | 819 | |
---|
| 820 | |
---|
| 821 | !------------------------------------------------------------------------------! |
---|
| 822 | ! Description: |
---|
| 823 | ! ------------ |
---|
| 824 | !> Computes the geographical coordinates corresponding to the given rotated-pole |
---|
| 825 | !> coordinates. |
---|
| 826 | !> |
---|
| 827 | !> In INIFOR, this routine is used to convert coordinates between two |
---|
| 828 | !> rotated-pole systems: COSMO-DE's rotated-pole system, and one centred at the |
---|
| 829 | !> PALM-4U domain centre. In this case, the PALM-4U system is thought of as the |
---|
| 830 | !> rotated-pole system and the routine is used to rotate back to COSMO-DE's |
---|
| 831 | !> system which is thought of as the geographical one. |
---|
| 832 | !> |
---|
| 833 | !> Input parameters: |
---|
| 834 | !> ----------------- |
---|
| 835 | !> phir(:), lamr(: ): latitudes and longitudes of the rotated-pole grid |
---|
| 836 | !> |
---|
| 837 | !> phip, lamp: latitude and longitude of the rotated north pole |
---|
| 838 | !> |
---|
| 839 | !> gam: "angle between the north poles. If [gam] is not present, the other |
---|
| 840 | !> system is the real geographical system." (original phiro2rot |
---|
| 841 | !> description) |
---|
| 842 | !> |
---|
| 843 | !> Output parameters: |
---|
| 844 | !> ------------------ |
---|
| 845 | !> phi(:,:), lam(:,:): geographical latitudes and logitudes |
---|
| 846 | !------------------------------------------------------------------------------! |
---|
[3866] | 847 | SUBROUTINE rotate_to_cosmo(phir, lamr, phip, lamp, phi, lam, gam) |
---|
| 848 | REAL(wp), INTENT(IN) :: phir(0:), lamr(0:), phip, lamp, gam |
---|
| 849 | REAL(wp), INTENT(OUT) :: phi(0:,0:), lam(0:,0:) |
---|
[2696] | 850 | |
---|
[4523] | 851 | INTEGER(iwp) :: i, j |
---|
[3866] | 852 | |
---|
| 853 | IF ( SIZE(phi, 1) .NE. SIZE(lam, 1) .OR. & |
---|
| 854 | SIZE(phi, 2) .NE. SIZE(lam, 2) ) THEN |
---|
| 855 | PRINT *, "inifor: rotate_to_cosmo: Dimensions of phi and lambda do not match. Dimensions are:" |
---|
| 856 | PRINT *, "inifor: rotate_to_cosmo: phi: ", SIZE(phi, 1), SIZE(phi, 2) |
---|
| 857 | PRINT *, "inifor: rotate_to_cosmo: lam: ", SIZE(lam, 1), SIZE(lam, 2) |
---|
| 858 | STOP |
---|
| 859 | ENDIF |
---|
[2696] | 860 | |
---|
[3866] | 861 | IF ( SIZE(phir) .NE. SIZE(phi, 2) .OR. & |
---|
| 862 | SIZE(lamr) .NE. SIZE(phi, 1) ) THEN |
---|
| 863 | PRINT *, "inifor: rotate_to_cosmo: Dimensions of phir and lamr do not match. Dimensions are:" |
---|
| 864 | PRINT *, "inifor: rotate_to_cosmo: phir: ", SIZE(phir), SIZE(phi, 2) |
---|
| 865 | PRINT *, "inifor: rotate_to_cosmo: lamr: ", SIZE(lamr), SIZE(phi, 1) |
---|
| 866 | STOP |
---|
| 867 | ENDIF |
---|
| 868 | |
---|
| 869 | DO j = 0, UBOUND(phir, 1) |
---|
| 870 | DO i = 0, UBOUND(lamr, 1) |
---|
[2696] | 871 | |
---|
[3866] | 872 | phi(i,j) = phirot2phi(phir(j) * TO_DEGREES, & |
---|
| 873 | lamr(i) * TO_DEGREES, & |
---|
| 874 | phip * TO_DEGREES, & |
---|
| 875 | gam * TO_DEGREES) * TO_RADIANS |
---|
[2696] | 876 | |
---|
[3866] | 877 | lam(i,j) = rlarot2rla(phir(j) * TO_DEGREES, & |
---|
| 878 | lamr(i) * TO_DEGREES, & |
---|
| 879 | phip * TO_DEGREES, & |
---|
| 880 | lamp * TO_DEGREES, & |
---|
| 881 | gam * TO_DEGREES) * TO_RADIANS |
---|
[2696] | 882 | |
---|
[3785] | 883 | ENDDO |
---|
[3866] | 884 | ENDDO |
---|
[2696] | 885 | |
---|
[3866] | 886 | END SUBROUTINE rotate_to_cosmo |
---|
[3182] | 887 | |
---|
[2696] | 888 | |
---|
[3557] | 889 | !------------------------------------------------------------------------------! |
---|
| 890 | ! Description: |
---|
| 891 | ! ------------ |
---|
| 892 | !> Rotate the given vector field (x(:), y(:)) by the given 'angle'. |
---|
| 893 | !------------------------------------------------------------------------------! |
---|
[3866] | 894 | SUBROUTINE rotate_vector_field(x, y, angle) |
---|
| 895 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: x, y !< x and y coodrinate in arbitrary units |
---|
| 896 | REAL(wp), INTENT(IN) :: angle !< rotation angle [deg] |
---|
[2696] | 897 | |
---|
[4523] | 898 | INTEGER(iwp) :: i |
---|
| 899 | REAL(wp) :: sine, cosine, v_rot(2), rotation(2,2) |
---|
[3395] | 900 | |
---|
[3866] | 901 | sine = SIN(angle * TO_RADIANS) |
---|
| 902 | cosine = COS(angle * TO_RADIANS) |
---|
[3557] | 903 | ! |
---|
[3866] | 904 | !-- RESAHPE() fills columns first, so the rotation matrix becomes |
---|
| 905 | !-- |
---|
| 906 | !-- rotation = [ cosine -sine ] |
---|
| 907 | !-- [ sine cosine ] |
---|
| 908 | rotation = RESHAPE( (/cosine, sine, -sine, cosine/), (/2, 2/) ) |
---|
[3395] | 909 | |
---|
[3866] | 910 | DO i = LBOUND(x, 1), UBOUND(x, 1) |
---|
[3395] | 911 | |
---|
[3866] | 912 | v_rot(:) = MATMUL(rotation, (/x(i), y(i)/)) |
---|
[3395] | 913 | |
---|
[3866] | 914 | x(i) = v_rot(1) |
---|
| 915 | y(i) = v_rot(2) |
---|
[3395] | 916 | |
---|
[3866] | 917 | ENDDO |
---|
[3395] | 918 | |
---|
[3866] | 919 | END SUBROUTINE rotate_vector_field |
---|
[3395] | 920 | |
---|
| 921 | |
---|
| 922 | |
---|
[2696] | 923 | !------------------------------------------------------------------------------! |
---|
| 924 | ! Description: |
---|
| 925 | ! ------------ |
---|
[3395] | 926 | !> This routine computes the local meridian convergence between a rotated-pole |
---|
| 927 | !> and a geographical system using the Eq. (6) given in the DWD manual |
---|
| 928 | !> |
---|
| 929 | !> Baldauf et al. (2018), Beschreibung des operationelle KuÌrzestfrist- |
---|
| 930 | !> vorhersagemodells COSMO-D2 und COSMO-D2-EPS und seiner Ausgabe in die |
---|
| 931 | !> Datenbanken des DWD. |
---|
| 932 | !> https://www.dwd.de/SharedDocs/downloads/DE/modelldokumentationen/nwv/cosmo_d2/cosmo_d2_dbbeschr_aktuell.pdf?__blob=publicationFile&v=2 |
---|
[3557] | 933 | !------------------------------------------------------------------------------! |
---|
[3866] | 934 | FUNCTION meridian_convergence_rotated(phi_n, lam_n, phi_g, lam_g) & |
---|
| 935 | RESULT(delta) |
---|
[3395] | 936 | |
---|
[3866] | 937 | REAL(wp), INTENT(IN) :: phi_n, lam_n, phi_g, lam_g |
---|
| 938 | REAL(wp) :: delta |
---|
[3395] | 939 | |
---|
[3866] | 940 | delta = atan2( COS(phi_n) * SIN(lam_n - lam_g), & |
---|
| 941 | COS(phi_g) * SIN(phi_n) - & |
---|
| 942 | SIN(phi_g) * COS(phi_n) * COS(lam_n - lam_g) ) |
---|
[3395] | 943 | |
---|
[3866] | 944 | END FUNCTION meridian_convergence_rotated |
---|
[3395] | 945 | |
---|
| 946 | !------------------------------------------------------------------------------! |
---|
| 947 | ! Description: |
---|
| 948 | ! ------------ |
---|
[2696] | 949 | !> Compute indices of PALM-4U grid point neighbours in the target |
---|
| 950 | !> system (COSMO-DE) by rounding up and down. (i,j) are the indices of |
---|
| 951 | !> the PALM-4U grid and (ii(i,j,1-4), jj(i,j,1-4)) contain the indices |
---|
| 952 | !> of the its four neigbouring points in the COSMO-DE grid. |
---|
| 953 | !> |
---|
| 954 | !> |
---|
| 955 | !> COSMO-DE grid |
---|
| 956 | !> ------------- |
---|
| 957 | !> jj, lat |
---|
[3182] | 958 | !> ^ j |
---|
| 959 | !> | \ i |
---|
[2696] | 960 | !> jj(i,j,2/3) + ... 2 ---\--------/------ 3 |
---|
| 961 | !> | | ^ \ / | |
---|
| 962 | !> | | |wp \ / | |
---|
| 963 | !> | | v \ / | |
---|
| 964 | !> latpos + ............ o/ (i,j) | |
---|
| 965 | !> | | : | |
---|
| 966 | !> | | :<----wl---->| |
---|
| 967 | !> jj(i,j,1/4) + ... 1 -------:----------- 4 |
---|
| 968 | !> | : : : |
---|
| 969 | !> | : : : |
---|
| 970 | !> | : lonpos : |
---|
| 971 | !> L-----+--------+------------+------> ii, lon |
---|
| 972 | !> ii(i,j,1/2) ii(i,j,3/4) |
---|
| 973 | !> |
---|
| 974 | !> |
---|
| 975 | !> Input parameters: |
---|
| 976 | !> ----------------- |
---|
| 977 | !> source_lat, source_lon : (rotated-pole) coordinates of the source grid (e.g. |
---|
| 978 | !> COSMO-DE) |
---|
| 979 | !> |
---|
| 980 | !> source_dxi, source_dyi : inverse grid spacings of the source grid. |
---|
| 981 | !> |
---|
| 982 | !> target_lat, target_lon : (rotated-pole) coordinates of the target grid (e.g. |
---|
| 983 | !> COSMO-DE) |
---|
| 984 | !> |
---|
| 985 | !> Output parameters: |
---|
| 986 | !> ------------------ |
---|
| 987 | !> palm_ii, palm_jj : x and y index arrays of horizontal neighbour columns |
---|
| 988 | !> |
---|
| 989 | !------------------------------------------------------------------------------! |
---|
[3866] | 990 | SUBROUTINE find_horizontal_neighbours(cosmo_lat, cosmo_lon, & |
---|
| 991 | palm_clat, palm_clon, & |
---|
| 992 | palm_ii, palm_jj) |
---|
[2696] | 993 | |
---|
[4523] | 994 | REAL(wp), DIMENSION(0:), INTENT(IN) :: cosmo_lat, cosmo_lon |
---|
| 995 | REAL(wp), DIMENSION(0:,0:), INTENT(IN) :: palm_clat, palm_clon |
---|
| 996 | REAL(wp) :: cosmo_dxi, cosmo_dyi |
---|
| 997 | INTEGER(iwp), DIMENSION(0:,0:,1:), INTENT(OUT) :: palm_ii, palm_jj |
---|
[2696] | 998 | |
---|
[4523] | 999 | REAL(wp) :: lonpos, latpos, lon0, lat0 |
---|
| 1000 | INTEGER(iwp) :: i, j |
---|
[2696] | 1001 | |
---|
[3866] | 1002 | lon0 = cosmo_lon(0) |
---|
| 1003 | lat0 = cosmo_lat(0) |
---|
| 1004 | cosmo_dxi = 1.0_wp / (cosmo_lon(1) - cosmo_lon(0)) |
---|
| 1005 | cosmo_dyi = 1.0_wp / (cosmo_lat(1) - cosmo_lat(0)) |
---|
[2696] | 1006 | |
---|
[3866] | 1007 | DO j = 0, UBOUND(palm_clon, 2)!palm_grid%ny |
---|
| 1008 | DO i = 0, UBOUND(palm_clon, 1)!palm_grid%nx |
---|
[3557] | 1009 | ! |
---|
[3866] | 1010 | !-- Compute the floating point index corrseponding to PALM-4U grid point |
---|
| 1011 | !-- location along target grid (COSMO-DE) axes. |
---|
| 1012 | lonpos = (palm_clon(i,j) - lon0) * cosmo_dxi |
---|
| 1013 | latpos = (palm_clat(i,j) - lat0) * cosmo_dyi |
---|
[2696] | 1014 | |
---|
[3866] | 1015 | IF (lonpos < 0.0_wp .OR. latpos < 0.0_wp) THEN |
---|
| 1016 | message = "lonpos or latpos out of bounds " // & |
---|
| 1017 | "while finding interpolation neighbours!" // NEW_LINE(' ') // & |
---|
| 1018 | " (i,j) = (" // & |
---|
| 1019 | TRIM(str(i)) // ", " // TRIM(str(j)) // ")" // NEW_LINE(' ') //& |
---|
| 1020 | " lonpos " // TRIM(real_to_str(lonpos*TO_DEGREES)) // & |
---|
| 1021 | ", latpos " // TRIM(real_to_str(latpos*TO_DEGREES)) // NEW_LINE(' ') // & |
---|
| 1022 | " lon0 " // TRIM(real_to_str(lon0 *TO_DEGREES)) // & |
---|
| 1023 | ", lat0 " // TRIM(real_to_str(lat0*TO_DEGREES)) // NEW_LINE(' ') // & |
---|
| 1024 | " PALM lon " // TRIM(real_to_str(palm_clon(i,j)*TO_DEGREES)) // & |
---|
| 1025 | ", PALM lat " // TRIM(real_to_str(palm_clat(i,j)*TO_DEGREES)) |
---|
| 1026 | CALL inifor_abort('find_horizontal_neighbours', message) |
---|
| 1027 | ENDIF |
---|
[2696] | 1028 | |
---|
[3866] | 1029 | palm_ii(i,j,1) = FLOOR(lonpos) |
---|
| 1030 | palm_ii(i,j,2) = FLOOR(lonpos) |
---|
| 1031 | palm_ii(i,j,3) = CEILING(lonpos) |
---|
| 1032 | palm_ii(i,j,4) = CEILING(lonpos) |
---|
[2696] | 1033 | |
---|
[3866] | 1034 | palm_jj(i,j,1) = FLOOR(latpos) |
---|
| 1035 | palm_jj(i,j,2) = CEILING(latpos) |
---|
| 1036 | palm_jj(i,j,3) = CEILING(latpos) |
---|
| 1037 | palm_jj(i,j,4) = FLOOR(latpos) |
---|
| 1038 | ENDDO |
---|
| 1039 | ENDDO |
---|
[2696] | 1040 | |
---|
[3866] | 1041 | END SUBROUTINE find_horizontal_neighbours |
---|
[2696] | 1042 | |
---|
| 1043 | |
---|
[3557] | 1044 | !------------------------------------------------------------------------------! |
---|
| 1045 | ! Description: |
---|
| 1046 | ! ------------ |
---|
| 1047 | !> Computes linear vertical interpolation neighbour indices and weights for each |
---|
| 1048 | !> column of the given palm grid. |
---|
| 1049 | !------------------------------------------------------------------------------! |
---|
[4523] | 1050 | SUBROUTINE find_vertical_neighbours_and_weights_interp( palm_grid, & |
---|
| 1051 | palm_intermediate ) |
---|
[3866] | 1052 | TYPE(grid_definition), INTENT(INOUT) :: palm_grid |
---|
| 1053 | TYPE(grid_definition), INTENT(IN) :: palm_intermediate |
---|
[2696] | 1054 | |
---|
[4523] | 1055 | INTEGER(iwp) :: i, j, k, nx, ny, nz, nlev, k_intermediate |
---|
| 1056 | LOGICAL :: point_is_below_grid, point_is_above_grid, & |
---|
| 1057 | point_is_in_current_cell |
---|
| 1058 | REAL(wp) :: current_height, column_base, column_top, h_top, h_bottom, & |
---|
| 1059 | weight |
---|
[2696] | 1060 | |
---|
[3866] | 1061 | nx = palm_grid%nx |
---|
| 1062 | ny = palm_grid%ny |
---|
| 1063 | nz = palm_grid%nz |
---|
| 1064 | nlev = palm_intermediate%nz |
---|
[2696] | 1065 | |
---|
[3557] | 1066 | ! |
---|
[3866] | 1067 | !-- in each column of the fine grid, find vertical neighbours of every cell |
---|
| 1068 | DO j = 0, ny |
---|
| 1069 | DO i = 0, nx |
---|
[2696] | 1070 | |
---|
[3866] | 1071 | k_intermediate = 0 |
---|
[2696] | 1072 | |
---|
[4553] | 1073 | column_base = palm_intermediate%intermediate_h(i,j,0) |
---|
| 1074 | column_top = palm_intermediate%intermediate_h(i,j,nlev) |
---|
[2696] | 1075 | |
---|
[3557] | 1076 | ! |
---|
[3866] | 1077 | !-- scan through palm_grid column and set neighbour indices in |
---|
| 1078 | !-- case current_height is either below column_base, in the current |
---|
| 1079 | !-- cell, or above column_top. Keep increasing current cell index until |
---|
| 1080 | !-- the current cell overlaps with the current_height. |
---|
| 1081 | DO k = 1, nz |
---|
[2696] | 1082 | |
---|
[3557] | 1083 | ! |
---|
[3866] | 1084 | !-- Memorize the top and bottom boundaries of the coarse cell and the |
---|
| 1085 | !-- current height within it |
---|
| 1086 | current_height = palm_grid%z(k) + palm_grid%z0 |
---|
[4553] | 1087 | h_top = palm_intermediate%intermediate_h(i,j,k_intermediate+1) |
---|
| 1088 | h_bottom = palm_intermediate%intermediate_h(i,j,k_intermediate) |
---|
[2696] | 1089 | |
---|
[3866] | 1090 | point_is_above_grid = (current_height > column_top) !22000m, very unlikely |
---|
| 1091 | point_is_below_grid = (current_height < column_base) |
---|
[2696] | 1092 | |
---|
[3866] | 1093 | point_is_in_current_cell = ( & |
---|
| 1094 | current_height >= h_bottom .AND. & |
---|
| 1095 | current_height < h_top & |
---|
| 1096 | ) |
---|
[2696] | 1097 | |
---|
[3557] | 1098 | ! |
---|
[3866] | 1099 | !-- set default weights |
---|
| 1100 | palm_grid%w_verti(i,j,k,1:2) = 0.0_wp |
---|
[2696] | 1101 | |
---|
[3866] | 1102 | IF (point_is_above_grid) THEN |
---|
[2696] | 1103 | |
---|
[3866] | 1104 | palm_grid%kk(i,j,k,1:2) = nlev |
---|
| 1105 | palm_grid%w_verti(i,j,k,1:2) = - 2.0_wp |
---|
[2696] | 1106 | |
---|
[3866] | 1107 | message = "PALM-4U grid extends above COSMO-DE model top." |
---|
| 1108 | CALL inifor_abort('find_vertical_neighbours_and_weights', message) |
---|
[3182] | 1109 | |
---|
[3866] | 1110 | ELSE IF (point_is_below_grid) THEN |
---|
[2696] | 1111 | |
---|
[3866] | 1112 | palm_grid%kk(i,j,k,1:2) = 0 |
---|
| 1113 | palm_grid%w_verti(i,j,k,1:2) = - 2.0_wp |
---|
[2696] | 1114 | |
---|
[3866] | 1115 | ELSE |
---|
[3557] | 1116 | ! |
---|
[3866] | 1117 | !-- cycle through intermediate levels until current |
---|
| 1118 | !-- intermediate-grid cell overlaps with current_height |
---|
| 1119 | DO WHILE (.NOT. point_is_in_current_cell .AND. k_intermediate <= nlev-1) |
---|
| 1120 | k_intermediate = k_intermediate + 1 |
---|
[2696] | 1121 | |
---|
[4553] | 1122 | h_top = palm_intermediate%intermediate_h(i,j,k_intermediate+1) |
---|
| 1123 | h_bottom = palm_intermediate%intermediate_h(i,j,k_intermediate) |
---|
[3866] | 1124 | point_is_in_current_cell = ( & |
---|
| 1125 | current_height >= h_bottom .AND. & |
---|
| 1126 | current_height < h_top & |
---|
| 1127 | ) |
---|
| 1128 | ENDDO |
---|
[2696] | 1129 | |
---|
[3866] | 1130 | IF (k_intermediate > nlev-1) THEN |
---|
| 1131 | message = "Index " // TRIM(str(k_intermediate)) // & |
---|
| 1132 | " is above intermediate grid range." |
---|
| 1133 | CALL inifor_abort('find_vertical_neighbours', message) |
---|
| 1134 | ENDIF |
---|
[2696] | 1135 | |
---|
[3866] | 1136 | palm_grid%kk(i,j,k,1) = k_intermediate |
---|
| 1137 | palm_grid%kk(i,j,k,2) = k_intermediate + 1 |
---|
[2696] | 1138 | |
---|
[3557] | 1139 | ! |
---|
[3866] | 1140 | !-- compute vertical weights |
---|
| 1141 | weight = (h_top - current_height) / (h_top - h_bottom) |
---|
| 1142 | palm_grid%w_verti(i,j,k,1) = weight |
---|
| 1143 | palm_grid%w_verti(i,j,k,2) = 1.0_wp - weight |
---|
| 1144 | ENDIF |
---|
[2696] | 1145 | |
---|
[3785] | 1146 | ENDDO |
---|
[2696] | 1147 | |
---|
[3866] | 1148 | ENDDO |
---|
| 1149 | ENDDO |
---|
[2696] | 1150 | |
---|
[3866] | 1151 | END SUBROUTINE find_vertical_neighbours_and_weights_interp |
---|
[3395] | 1152 | |
---|
[3866] | 1153 | |
---|
[3557] | 1154 | !------------------------------------------------------------------------------! |
---|
| 1155 | ! Description: |
---|
| 1156 | ! ------------ |
---|
| 1157 | !> Computes linear vertical interpolation neighbour indices and weights for each |
---|
| 1158 | !> column of the given averaging grid. |
---|
| 1159 | !> |
---|
| 1160 | !> The difference to the _interp variant of this routine lies in how columns |
---|
| 1161 | !> are adressed. While the _interp variant loops over all PALM grid columns |
---|
| 1162 | !> given by combinations of all index indices (i,j), this routine loops over a |
---|
[4553] | 1163 | !> subset of COSMO columns, which are sequentially stored in the index lists |
---|
[3557] | 1164 | !> iii(:) and jjj(:). |
---|
| 1165 | !------------------------------------------------------------------------------! |
---|
[3866] | 1166 | SUBROUTINE find_vertical_neighbours_and_weights_average( & |
---|
| 1167 | avg_grid, level_based_averaging & |
---|
| 1168 | ) |
---|
[3395] | 1169 | |
---|
[3866] | 1170 | TYPE(grid_definition), INTENT(INOUT), TARGET :: avg_grid |
---|
| 1171 | LOGICAL :: level_based_averaging |
---|
[3395] | 1172 | |
---|
[4523] | 1173 | INTEGER(iwp) :: i, j, k_palm, k_intermediate, l, nlev |
---|
[3866] | 1174 | LOGICAL :: point_is_below_grid, point_is_above_grid, & |
---|
| 1175 | point_is_in_current_cell |
---|
| 1176 | REAL(wp) :: current_height, column_base, column_top, h_top, & |
---|
| 1177 | h_bottom, weight |
---|
| 1178 | REAL(wp), POINTER :: cosmo_h(:,:,:) |
---|
[3395] | 1179 | |
---|
[3613] | 1180 | |
---|
[3866] | 1181 | avg_grid%k_min = LBOUND(avg_grid%z, 1) |
---|
[3395] | 1182 | |
---|
[3866] | 1183 | nlev = SIZE(avg_grid%cosmo_h, 3) |
---|
[3395] | 1184 | |
---|
[4553] | 1185 | ! |
---|
| 1186 | !-- For level-based averaging, use the profile of averaged vertical mesoscale |
---|
| 1187 | !-- levels computed in init_averaging_grid(). |
---|
[3866] | 1188 | IF (level_based_averaging) THEN |
---|
[4553] | 1189 | cosmo_h => avg_grid%intermediate_h |
---|
[3866] | 1190 | ELSE |
---|
| 1191 | cosmo_h => avg_grid%cosmo_h |
---|
| 1192 | ENDIF |
---|
| 1193 | |
---|
| 1194 | ! |
---|
| 1195 | !-- in each column of the fine grid, find vertical neighbours of every cell |
---|
| 1196 | DO l = 1, avg_grid%n_columns |
---|
| 1197 | |
---|
[4553] | 1198 | !-- The profile of averaged vertical mesoscale levels stored in |
---|
| 1199 | !-- intermediate_h only contains one column. By using the same column -- and |
---|
| 1200 | !-- consequently the same vertical interpolation neighbours and weights -- |
---|
| 1201 | !-- |
---|
[3613] | 1202 | IF (level_based_averaging) THEN |
---|
[3866] | 1203 | i = 1 |
---|
| 1204 | j = 1 |
---|
[3613] | 1205 | ELSE |
---|
[3866] | 1206 | i = avg_grid%iii(l) |
---|
| 1207 | j = avg_grid%jjj(l) |
---|
[3785] | 1208 | ENDIF |
---|
[3613] | 1209 | |
---|
[3866] | 1210 | column_base = cosmo_h(i,j,1) |
---|
| 1211 | column_top = cosmo_h(i,j,nlev) |
---|
[3395] | 1212 | |
---|
[3557] | 1213 | ! |
---|
[4553] | 1214 | !-- Scan through avg_grid column until and set neighbour indices in |
---|
[3866] | 1215 | !-- case current_height is either below column_base, in the current |
---|
| 1216 | !-- cell, or above column_top. Keep increasing current cell index until |
---|
| 1217 | !-- the current cell overlaps with the current_height. |
---|
[4553] | 1218 | k_intermediate = 1 !avg_grid%cosmo_h is indexed 1-based. |
---|
[3866] | 1219 | DO k_palm = 1, avg_grid%nz |
---|
[3395] | 1220 | |
---|
[3557] | 1221 | ! |
---|
[3866] | 1222 | !-- Memorize the top and bottom boundaries of the coarse cell and the |
---|
| 1223 | !-- current height within it |
---|
| 1224 | current_height = avg_grid%z(k_palm) + avg_grid%z0 |
---|
| 1225 | h_top = cosmo_h(i,j,k_intermediate+1) |
---|
| 1226 | h_bottom = cosmo_h(i,j,k_intermediate) |
---|
[3395] | 1227 | |
---|
[3557] | 1228 | ! |
---|
[3866] | 1229 | !-- COSMO column top is located at 22000m, point_is_above_grid is very |
---|
| 1230 | !-- unlikely. |
---|
| 1231 | point_is_above_grid = (current_height > column_top) |
---|
| 1232 | point_is_below_grid = (current_height < column_base) |
---|
[3395] | 1233 | |
---|
[3866] | 1234 | point_is_in_current_cell = ( & |
---|
| 1235 | current_height >= h_bottom .AND. & |
---|
| 1236 | current_height < h_top & |
---|
| 1237 | ) |
---|
[3395] | 1238 | |
---|
[3557] | 1239 | ! |
---|
[3866] | 1240 | !-- set default weights |
---|
| 1241 | avg_grid%w(l,k_palm,1:2) = 0.0_wp |
---|
[3395] | 1242 | |
---|
[3866] | 1243 | IF (point_is_above_grid) THEN |
---|
[3395] | 1244 | |
---|
[3866] | 1245 | avg_grid%kkk(l,k_palm,1:2) = nlev |
---|
| 1246 | avg_grid%w(l,k_palm,1:2) = - 2.0_wp |
---|
[3395] | 1247 | |
---|
[3866] | 1248 | message = "PALM-4U grid extends above COSMO-DE model top." |
---|
| 1249 | CALL inifor_abort('find_vertical_neighbours_and_weights_average', message) |
---|
[3395] | 1250 | |
---|
[3866] | 1251 | ELSE IF (point_is_below_grid) THEN |
---|
[3395] | 1252 | |
---|
[3866] | 1253 | avg_grid%kkk(l,k_palm,1:2) = 0 |
---|
| 1254 | avg_grid%w(l,k_palm,1:2) = - 2.0_wp |
---|
| 1255 | avg_grid%k_min = MAX(k_palm + 1, avg_grid%k_min) |
---|
| 1256 | ELSE |
---|
[3557] | 1257 | ! |
---|
[3866] | 1258 | !-- cycle through intermediate levels until current |
---|
| 1259 | !-- intermediate-grid cell overlaps with current_height |
---|
| 1260 | DO WHILE (.NOT. point_is_in_current_cell .AND. k_intermediate <= nlev-1) |
---|
| 1261 | k_intermediate = k_intermediate + 1 |
---|
[3395] | 1262 | |
---|
[3866] | 1263 | h_top = cosmo_h(i,j,k_intermediate+1) |
---|
| 1264 | h_bottom = cosmo_h(i,j,k_intermediate) |
---|
| 1265 | point_is_in_current_cell = ( & |
---|
| 1266 | current_height >= h_bottom .AND. & |
---|
| 1267 | current_height < h_top & |
---|
| 1268 | ) |
---|
| 1269 | ENDDO |
---|
[3395] | 1270 | |
---|
[3557] | 1271 | ! |
---|
[3866] | 1272 | !-- k_intermediate = 48 indicates the last section (indices 48 and 49), i.e. |
---|
| 1273 | !-- k_intermediate = 49 is not the beginning of a valid cell. |
---|
| 1274 | IF (k_intermediate > nlev-1) THEN |
---|
| 1275 | message = "Index " // TRIM(str(k_intermediate)) // & |
---|
| 1276 | " is above intermediate grid range." |
---|
| 1277 | CALL inifor_abort('find_vertical_neighbours', message) |
---|
| 1278 | ENDIF |
---|
[3395] | 1279 | |
---|
[3866] | 1280 | avg_grid%kkk(l,k_palm,1) = k_intermediate |
---|
| 1281 | avg_grid%kkk(l,k_palm,2) = k_intermediate + 1 |
---|
[3395] | 1282 | |
---|
[3557] | 1283 | ! |
---|
[3866] | 1284 | !-- compute vertical weights |
---|
| 1285 | weight = (h_top - current_height) / (h_top - h_bottom) |
---|
| 1286 | avg_grid%w(l,k_palm,1) = weight |
---|
| 1287 | avg_grid%w(l,k_palm,2) = 1.0_wp - weight |
---|
| 1288 | ENDIF |
---|
[3395] | 1289 | |
---|
[3557] | 1290 | ! |
---|
[3866] | 1291 | !-- Loop over PALM levels k |
---|
| 1292 | ENDDO |
---|
[3557] | 1293 | |
---|
| 1294 | ! |
---|
[3866] | 1295 | !-- Loop over averaging columns l |
---|
| 1296 | ENDDO |
---|
[3395] | 1297 | |
---|
[3866] | 1298 | END SUBROUTINE find_vertical_neighbours_and_weights_average |
---|
[3395] | 1299 | |
---|
[2696] | 1300 | !------------------------------------------------------------------------------! |
---|
| 1301 | ! Description: |
---|
| 1302 | ! ------------ |
---|
| 1303 | !> Compute the four weights for horizontal bilinear interpolation given the |
---|
| 1304 | !> coordinates clon(i,j) clat(i,j) of the PALM-4U grid in the COSMO-DE |
---|
| 1305 | !> rotated-pole grid and the neightbour indices ii(i,j,1-4) and jj(i,j,1-4). |
---|
| 1306 | !> |
---|
| 1307 | !> Input parameters: |
---|
| 1308 | !> ----------------- |
---|
[3866] | 1309 | !> palm_grid%clon : longitudes of PALM-4U scalars (cell centres) in COSMO-DE's rotated-pole grid [rad] |
---|
[2696] | 1310 | !> |
---|
[3866] | 1311 | !> palm_grid%clat : latitudes of PALM-4U cell centres in COSMO-DE's rotated-pole grid [rad] |
---|
[2696] | 1312 | !> |
---|
[3866] | 1313 | !> cosmo_grid%lon : rotated-pole longitudes of scalars (cell centres) of the COSMO-DE grid [rad] |
---|
[2696] | 1314 | !> |
---|
[3866] | 1315 | !> cosmo_grid%lat : rotated-pole latitudes of scalars (cell centers) of the COSMO-DE grid [rad] |
---|
[2696] | 1316 | !> |
---|
[3866] | 1317 | !> cosmo_grid%dxi : inverse grid spacing in the first dimension [m^-1] |
---|
[2696] | 1318 | !> |
---|
[3866] | 1319 | !> cosmo_grid%dyi : inverse grid spacing in the second dimension [m^-1] |
---|
[2696] | 1320 | !> |
---|
| 1321 | !> Output parameters: |
---|
| 1322 | !> ------------------ |
---|
[3866] | 1323 | !> palm_grid%w_horiz(:,:,1-4) : weights for bilinear horizontal interpolation |
---|
[2696] | 1324 | ! |
---|
| 1325 | ! COSMO-DE grid |
---|
| 1326 | ! ------------- |
---|
| 1327 | ! jj, lat |
---|
| 1328 | ! ^ j |
---|
| 1329 | ! | \ i |
---|
| 1330 | ! jj(i,j,2/3) + ... 2 ---\--------/------ 3 |
---|
| 1331 | ! | | ^ \ / | |
---|
| 1332 | ! | | |wp \ / | |
---|
| 1333 | ! | | v \ / | |
---|
| 1334 | ! latpos + ............ o/ (i,j) | |
---|
| 1335 | ! | | : | |
---|
| 1336 | ! | | :<----wl---->| |
---|
| 1337 | ! jj(i,j,1/4) + ... 1 -------:----------- 4 |
---|
| 1338 | ! | : : : |
---|
| 1339 | ! | : : : |
---|
| 1340 | ! | : lonpos : |
---|
| 1341 | ! L-----+--------+------------+------> ii, lon |
---|
| 1342 | ! ii(i,j,1/2) ii(i,j,3/4) |
---|
| 1343 | ! |
---|
[3557] | 1344 | !------------------------------------------------------------------------------! |
---|
[3866] | 1345 | SUBROUTINE compute_horizontal_interp_weights(cosmo_lat, cosmo_lon, & |
---|
| 1346 | palm_clat, palm_clon, palm_ii, palm_jj, palm_w_horiz) |
---|
[2696] | 1347 | |
---|
[4523] | 1348 | REAL(wp), DIMENSION(0:), INTENT(IN) :: cosmo_lat, cosmo_lon |
---|
| 1349 | REAL(wp) :: cosmo_dxi, cosmo_dyi |
---|
| 1350 | REAL(wp), DIMENSION(0:,0:), INTENT(IN) :: palm_clat, palm_clon |
---|
| 1351 | INTEGER(iwp), DIMENSION(0:,0:,1:), INTENT(IN) :: palm_ii, palm_jj |
---|
[2696] | 1352 | |
---|
[3866] | 1353 | REAL(wp), DIMENSION(0:,0:,1:), INTENT(OUT) :: palm_w_horiz |
---|
[2696] | 1354 | |
---|
[4523] | 1355 | REAL(wp) :: wlambda, wphi |
---|
| 1356 | INTEGER(iwp) :: i, j |
---|
[2696] | 1357 | |
---|
[3866] | 1358 | cosmo_dxi = 1.0_wp / (cosmo_lon(1) - cosmo_lon(0)) |
---|
| 1359 | cosmo_dyi = 1.0_wp / (cosmo_lat(1) - cosmo_lat(0)) |
---|
[3182] | 1360 | |
---|
[3866] | 1361 | DO j = 0, UBOUND(palm_clon, 2) |
---|
| 1362 | DO i = 0, UBOUND(palm_clon, 1) |
---|
| 1363 | |
---|
[3557] | 1364 | ! |
---|
[3866] | 1365 | !-- weight in lambda direction |
---|
| 1366 | wlambda = ( cosmo_lon(palm_ii(i,j,4)) - palm_clon(i,j) ) * cosmo_dxi |
---|
[2696] | 1367 | |
---|
[3557] | 1368 | ! |
---|
[3866] | 1369 | !-- weight in phi direction |
---|
| 1370 | wphi = ( cosmo_lat(palm_jj(i,j,2)) - palm_clat(i,j) ) * cosmo_dyi |
---|
[2696] | 1371 | |
---|
[3866] | 1372 | IF (wlambda > 1.0_wp .OR. wlambda < 0.0_wp) THEN |
---|
| 1373 | message = "Horizontal weight wlambda = " // TRIM(real_to_str(wlambda)) // & |
---|
| 1374 | " is out bounds." |
---|
| 1375 | CALL inifor_abort('compute_horizontal_interp_weights', message) |
---|
| 1376 | ENDIF |
---|
| 1377 | IF (wphi > 1.0_wp .OR. wphi < 0.0_wp) THEN |
---|
| 1378 | message = "Horizontal weight wphi = " // TRIM(real_to_str(wphi)) // & |
---|
| 1379 | " is out bounds." |
---|
| 1380 | CALL inifor_abort('compute_horizontal_interp_weights', message) |
---|
| 1381 | ENDIF |
---|
[2696] | 1382 | |
---|
[3866] | 1383 | palm_w_horiz(i,j,1) = wlambda * wphi |
---|
| 1384 | palm_w_horiz(i,j,2) = wlambda * (1.0_wp - wphi) |
---|
| 1385 | palm_w_horiz(i,j,3) = (1.0_wp - wlambda) * (1.0_wp - wphi) |
---|
| 1386 | palm_w_horiz(i,j,4) = 1.0_wp - SUM( palm_w_horiz(i,j,1:3) ) |
---|
[2696] | 1387 | |
---|
[3866] | 1388 | ENDDO |
---|
| 1389 | ENDDO |
---|
[2696] | 1390 | |
---|
[3866] | 1391 | END SUBROUTINE compute_horizontal_interp_weights |
---|
[2696] | 1392 | |
---|
| 1393 | |
---|
| 1394 | !------------------------------------------------------------------------------! |
---|
| 1395 | ! Description: |
---|
| 1396 | ! ------------ |
---|
| 1397 | !> Interpolates u and v components of velocities located at cell faces to the |
---|
| 1398 | !> cell centres by averaging neighbouring values. |
---|
| 1399 | !> |
---|
| 1400 | !> This routine is designed to be used with COSMO-DE arrays where there are the |
---|
| 1401 | !> same number of grid points for scalars (centres) and velocities (faces). In |
---|
| 1402 | !> COSMO-DE the velocity points are staggared one half grid spaceing up-grid |
---|
| 1403 | !> which means the first centre point has to be omitted and is set to zero. |
---|
[3557] | 1404 | !------------------------------------------------------------------------------! |
---|
[3866] | 1405 | SUBROUTINE centre_velocities(u_face, v_face, u_centre, v_centre) |
---|
| 1406 | REAL(wp), DIMENSION(0:,0:,0:), INTENT(IN) :: u_face, v_face |
---|
| 1407 | REAL(wp), DIMENSION(0:,0:,0:), INTENT(OUT) :: u_centre, v_centre |
---|
[4523] | 1408 | INTEGER(iwp) :: nx, ny |
---|
[2696] | 1409 | |
---|
[3866] | 1410 | nx = UBOUND(u_face, 1) |
---|
| 1411 | ny = UBOUND(u_face, 2) |
---|
[2696] | 1412 | |
---|
[3866] | 1413 | u_centre(0,:,:) = 0.0_wp |
---|
| 1414 | u_centre(1:,:,:) = 0.5_wp * ( u_face(0:nx-1,:,:) + u_face(1:,:,:) ) |
---|
[2696] | 1415 | |
---|
[3866] | 1416 | v_centre(:,0,:) = 0.0_wp |
---|
| 1417 | v_centre(:,1:,:) = 0.5_wp * ( v_face(:,0:ny-1,:) + v_face(:,1:,:) ) |
---|
| 1418 | END SUBROUTINE centre_velocities |
---|
[2696] | 1419 | |
---|
| 1420 | |
---|
[3557] | 1421 | !------------------------------------------------------------------------------! |
---|
| 1422 | ! Description: |
---|
| 1423 | ! ------------ |
---|
| 1424 | !> Compute the geographical latitude of a point given in rotated-pole cordinates |
---|
| 1425 | !------------------------------------------------------------------------------! |
---|
[3866] | 1426 | FUNCTION phirot2phi (phirot, rlarot, polphi, polgam) |
---|
| 1427 | |
---|
| 1428 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1429 | REAL(wp), INTENT (IN) :: phirot !< latitude in the rotated system |
---|
| 1430 | REAL(wp), INTENT (IN) :: rlarot !< longitude in the rotated system |
---|
| 1431 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
[2696] | 1432 | |
---|
[3866] | 1433 | REAL(wp) :: phirot2phi !< latitude in the geographical system |
---|
[2696] | 1434 | |
---|
[3866] | 1435 | REAL(wp) :: zsinpol, zcospol, zphis, zrlas, zarg, zgam |
---|
| 1436 | |
---|
| 1437 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1438 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1439 | zphis = phirot * TO_RADIANS |
---|
[2696] | 1440 | |
---|
[3866] | 1441 | IF (rlarot > 180.0_wp) THEN |
---|
| 1442 | zrlas = rlarot - 360.0_wp |
---|
| 1443 | ELSE |
---|
| 1444 | zrlas = rlarot |
---|
| 1445 | ENDIF |
---|
| 1446 | zrlas = zrlas * TO_RADIANS |
---|
| 1447 | |
---|
| 1448 | IF (polgam /= 0.0_wp) THEN |
---|
| 1449 | zgam = polgam * TO_RADIANS |
---|
| 1450 | zarg = zsinpol * SIN (zphis) + & |
---|
| 1451 | zcospol * COS(zphis) * ( COS(zrlas) * COS(zgam) - & |
---|
| 1452 | SIN(zgam) * SIN(zrlas) ) |
---|
| 1453 | ELSE |
---|
| 1454 | zarg = zcospol * COS (zphis) * COS (zrlas) + zsinpol * SIN (zphis) |
---|
| 1455 | ENDIF |
---|
| 1456 | |
---|
| 1457 | phirot2phi = ASIN (zarg) * TO_DEGREES |
---|
| 1458 | |
---|
| 1459 | END FUNCTION phirot2phi |
---|
[2696] | 1460 | |
---|
| 1461 | |
---|
[3557] | 1462 | !------------------------------------------------------------------------------! |
---|
| 1463 | ! Description: |
---|
| 1464 | ! ------------ |
---|
| 1465 | !> Compute the geographical latitude of a point given in rotated-pole cordinates |
---|
| 1466 | !------------------------------------------------------------------------------! |
---|
[3866] | 1467 | FUNCTION phi2phirot (phi, rla, polphi, pollam) |
---|
| 1468 | |
---|
| 1469 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1470 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1471 | REAL(wp), INTENT (IN) :: phi !< latitude in the geographical system |
---|
| 1472 | REAL(wp), INTENT (IN) :: rla !< longitude in the geographical system |
---|
[2696] | 1473 | |
---|
[3866] | 1474 | REAL(wp) :: phi2phirot !< longitude in the rotated system |
---|
| 1475 | |
---|
| 1476 | REAL(wp) :: zsinpol, zcospol, zlampol, zphi, zrla, zarg1, zarg2, zrla1 |
---|
| 1477 | |
---|
| 1478 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1479 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1480 | zlampol = pollam * TO_RADIANS |
---|
| 1481 | zphi = phi * TO_RADIANS |
---|
[2696] | 1482 | |
---|
[3866] | 1483 | IF (rla > 180.0_wp) THEN |
---|
| 1484 | zrla1 = rla - 360.0_wp |
---|
| 1485 | ELSE |
---|
| 1486 | zrla1 = rla |
---|
| 1487 | ENDIF |
---|
| 1488 | zrla = zrla1 * TO_RADIANS |
---|
[2696] | 1489 | |
---|
[3866] | 1490 | zarg1 = SIN(zphi) * zsinpol |
---|
| 1491 | zarg2 = COS(zphi) * zcospol * COS(zrla - zlampol) |
---|
| 1492 | |
---|
| 1493 | phi2phirot = ASIN(zarg1 + zarg2) * TO_DEGREES |
---|
| 1494 | |
---|
| 1495 | END FUNCTION phi2phirot |
---|
[2696] | 1496 | |
---|
| 1497 | |
---|
[3557] | 1498 | !------------------------------------------------------------------------------! |
---|
| 1499 | ! Description: |
---|
| 1500 | ! ------------ |
---|
| 1501 | !> Compute the geographical longitude of a point given in rotated-pole cordinates |
---|
| 1502 | !------------------------------------------------------------------------------! |
---|
[3866] | 1503 | FUNCTION rlarot2rla(phirot, rlarot, polphi, pollam, polgam) |
---|
| 1504 | |
---|
| 1505 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1506 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1507 | REAL(wp), INTENT (IN) :: phirot !< latitude in the rotated system |
---|
| 1508 | REAL(wp), INTENT (IN) :: rlarot !< longitude in the rotated system |
---|
| 1509 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
[2696] | 1510 | |
---|
[3866] | 1511 | REAL(wp) :: rlarot2rla !< latitude in the geographical system |
---|
| 1512 | |
---|
| 1513 | REAL(wp) :: zsinpol, zcospol, zlampol, zphis, zrlas, zarg1, zarg2, zgam |
---|
| 1514 | |
---|
| 1515 | zsinpol = SIN(TO_RADIANS * polphi) |
---|
| 1516 | zcospol = COS(TO_RADIANS * polphi) |
---|
| 1517 | zlampol = TO_RADIANS * pollam |
---|
| 1518 | zphis = TO_RADIANS * phirot |
---|
[2696] | 1519 | |
---|
[3866] | 1520 | IF (rlarot > 180.0_wp) THEN |
---|
| 1521 | zrlas = rlarot - 360.0_wp |
---|
| 1522 | ELSE |
---|
| 1523 | zrlas = rlarot |
---|
| 1524 | ENDIF |
---|
| 1525 | zrlas = TO_RADIANS * zrlas |
---|
| 1526 | |
---|
| 1527 | IF (polgam /= 0.0_wp) THEN |
---|
| 1528 | zgam = TO_RADIANS * polgam |
---|
| 1529 | zarg1 = SIN(zlampol) * (zcospol * SIN(zphis) - zsinpol*COS(zphis) * & |
---|
| 1530 | (COS(zrlas) * COS(zgam) - SIN(zrlas) * SIN(zgam)) ) - & |
---|
| 1531 | COS(zlampol) * COS(zphis) * ( SIN(zrlas) * COS(zgam) + & |
---|
| 1532 | COS(zrlas) * SIN(zgam) ) |
---|
| 1533 | |
---|
| 1534 | zarg2 = COS (zlampol) * (zcospol * SIN(zphis) - zsinpol*COS(zphis) * & |
---|
| 1535 | (COS(zrlas) * COS(zgam) - SIN(zrlas) * SIN(zgam)) ) + & |
---|
| 1536 | SIN(zlampol) * COS(zphis) * ( SIN(zrlas) * COS(zgam) + & |
---|
| 1537 | COS(zrlas) * SIN(zgam) ) |
---|
| 1538 | ELSE |
---|
| 1539 | zarg1 = SIN (zlampol) * (-zsinpol * COS(zrlas) * COS(zphis) + & |
---|
| 1540 | zcospol * SIN(zphis)) - & |
---|
| 1541 | COS (zlampol) * SIN(zrlas) * COS(zphis) |
---|
| 1542 | zarg2 = COS (zlampol) * (-zsinpol * COS(zrlas) * COS(zphis) + & |
---|
| 1543 | zcospol * SIN(zphis)) + & |
---|
| 1544 | SIN (zlampol) * SIN(zrlas) * COS(zphis) |
---|
| 1545 | ENDIF |
---|
| 1546 | |
---|
| 1547 | IF (zarg2 == 0.0_wp) zarg2 = 1.0E-20_wp |
---|
| 1548 | |
---|
| 1549 | rlarot2rla = ATAN2(zarg1,zarg2) * TO_DEGREES |
---|
| 1550 | |
---|
| 1551 | END FUNCTION rlarot2rla |
---|
[2696] | 1552 | |
---|
| 1553 | |
---|
[3557] | 1554 | !------------------------------------------------------------------------------! |
---|
| 1555 | ! Description: |
---|
| 1556 | ! ------------ |
---|
| 1557 | !> Compute the rotated-pole longitude of a point given in geographical cordinates |
---|
| 1558 | !------------------------------------------------------------------------------! |
---|
[3866] | 1559 | FUNCTION rla2rlarot ( phi, rla, polphi, pollam, polgam ) |
---|
[2696] | 1560 | |
---|
[3866] | 1561 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1562 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1563 | REAL(wp), INTENT (IN) :: phi !< latitude in geographical system |
---|
| 1564 | REAL(wp), INTENT (IN) :: rla !< longitude in geographical system |
---|
| 1565 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
| 1566 | |
---|
| 1567 | REAL(wp) :: rla2rlarot !< latitude in the the rotated system |
---|
| 1568 | |
---|
| 1569 | REAL(wp) :: zsinpol, zcospol, zlampol, zphi, zrla, zarg1, zarg2, zrla1 |
---|
| 1570 | |
---|
| 1571 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1572 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1573 | zlampol = pollam * TO_RADIANS |
---|
| 1574 | zphi = phi * TO_RADIANS |
---|
[2696] | 1575 | |
---|
[3866] | 1576 | IF (rla > 180.0_wp) THEN |
---|
| 1577 | zrla1 = rla - 360.0_wp |
---|
| 1578 | ELSE |
---|
| 1579 | zrla1 = rla |
---|
| 1580 | ENDIF |
---|
| 1581 | zrla = zrla1 * TO_RADIANS |
---|
| 1582 | |
---|
| 1583 | zarg1 = - SIN (zrla-zlampol) * COS(zphi) |
---|
| 1584 | zarg2 = - zsinpol * COS(zphi) * COS(zrla-zlampol) + zcospol * SIN(zphi) |
---|
| 1585 | |
---|
| 1586 | IF (zarg2 == 0.0_wp) zarg2 = 1.0E-20_wp |
---|
| 1587 | |
---|
| 1588 | rla2rlarot = ATAN2 (zarg1,zarg2) * TO_DEGREES |
---|
| 1589 | |
---|
| 1590 | IF (polgam /= 0.0_wp ) THEN |
---|
| 1591 | rla2rlarot = polgam + rla2rlarot |
---|
| 1592 | IF (rla2rlarot > 180._wp) rla2rlarot = rla2rlarot - 360.0_wp |
---|
| 1593 | ENDIF |
---|
| 1594 | |
---|
| 1595 | END FUNCTION rla2rlarot |
---|
[2696] | 1596 | |
---|
| 1597 | |
---|
[3557] | 1598 | !------------------------------------------------------------------------------! |
---|
| 1599 | ! Description: |
---|
| 1600 | ! ------------ |
---|
| 1601 | !> Rotate the given velocity vector (u,v) from the geographical to the |
---|
| 1602 | !> rotated-pole system |
---|
| 1603 | !------------------------------------------------------------------------------! |
---|
[3866] | 1604 | SUBROUTINE uv2uvrot(u, v, rlat, rlon, pollat, pollon, urot, vrot) |
---|
| 1605 | |
---|
| 1606 | REAL(wp), INTENT (IN) :: u, v !< wind components in the true geographical system |
---|
| 1607 | REAL(wp), INTENT (IN) :: rlat, rlon !< coordinates in the true geographical system |
---|
| 1608 | REAL(wp), INTENT (IN) :: pollat, pollon !< latitude and longitude of the north pole of the rotated grid |
---|
[2696] | 1609 | |
---|
[3866] | 1610 | REAL(wp), INTENT (OUT) :: urot, vrot !< wind components in the rotated grid |
---|
[2696] | 1611 | |
---|
[3866] | 1612 | REAL (wp) :: zsinpol, zcospol, zlonp, zlat, zarg1, zarg2, znorm |
---|
| 1613 | |
---|
| 1614 | zsinpol = SIN(pollat * TO_RADIANS) |
---|
| 1615 | zcospol = COS(pollat * TO_RADIANS) |
---|
| 1616 | zlonp = (pollon-rlon) * TO_RADIANS |
---|
| 1617 | zlat = rlat * TO_RADIANS |
---|
| 1618 | |
---|
| 1619 | zarg1 = zcospol * SIN(zlonp) |
---|
| 1620 | zarg2 = zsinpol * COS(zlat) - zcospol * SIN(zlat) * COS(zlonp) |
---|
| 1621 | znorm = 1.0_wp / SQRT(zarg1*zarg1 + zarg2*zarg2) |
---|
| 1622 | |
---|
| 1623 | urot = u * zarg2 * znorm - v * zarg1 * znorm |
---|
| 1624 | vrot = u * zarg1 * znorm + v * zarg2 * znorm |
---|
| 1625 | |
---|
| 1626 | END SUBROUTINE uv2uvrot |
---|
[2696] | 1627 | |
---|
| 1628 | |
---|
[3557] | 1629 | !------------------------------------------------------------------------------! |
---|
| 1630 | ! Description: |
---|
| 1631 | ! ------------ |
---|
| 1632 | !> Rotate the given velocity vector (urot, vrot) from the rotated-pole to the |
---|
| 1633 | !> geographical system |
---|
| 1634 | !------------------------------------------------------------------------------! |
---|
[3866] | 1635 | SUBROUTINE uvrot2uv (urot, vrot, rlat, rlon, pollat, pollon, u, v) |
---|
| 1636 | |
---|
| 1637 | REAL(wp), INTENT(IN) :: urot, vrot !< wind components in the rotated grid |
---|
| 1638 | REAL(wp), INTENT(IN) :: rlat, rlon !< latitude and longitude in the true geographical system |
---|
| 1639 | REAL(wp), INTENT(IN) :: pollat, pollon !< latitude and longitude of the north pole of the rotated grid |
---|
[2696] | 1640 | |
---|
[3866] | 1641 | REAL(wp), INTENT(OUT) :: u, v !< wind components in the true geographical system |
---|
[2696] | 1642 | |
---|
[3866] | 1643 | REAL(wp) :: zsinpol, zcospol, zlonp, zlat, zarg1, zarg2, znorm |
---|
| 1644 | |
---|
| 1645 | zsinpol = SIN(pollat * TO_RADIANS) |
---|
| 1646 | zcospol = COS(pollat * TO_RADIANS) |
---|
| 1647 | zlonp = (pollon-rlon) * TO_RADIANS |
---|
| 1648 | zlat = rlat * TO_RADIANS |
---|
| 1649 | |
---|
| 1650 | zarg1 = zcospol * SIN(zlonp) |
---|
| 1651 | zarg2 = zsinpol * COS(zlat) - zcospol * SIN(zlat) * COS(zlonp) |
---|
| 1652 | znorm = 1.0_wp / SQRT(zarg1*zarg1 + zarg2*zarg2) |
---|
| 1653 | |
---|
| 1654 | u = urot * zarg2 * znorm + vrot * zarg1 * znorm |
---|
| 1655 | v = - urot * zarg1 * znorm + vrot * zarg2 * znorm |
---|
| 1656 | |
---|
| 1657 | END SUBROUTINE uvrot2uv |
---|
[2696] | 1658 | |
---|
[3618] | 1659 | END MODULE inifor_transform |
---|
[3680] | 1660 | #endif |
---|
[2696] | 1661 | |
---|