[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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[3779] | 17 | ! Copyright 2017-2019 Leibniz Universitaet Hannover |
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| 18 | ! Copyright 2017-2019 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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[3183] | 23 | ! |
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| 24 | ! |
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| 25 | ! Former revisions: |
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| 26 | ! ----------------- |
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| 27 | ! $Id: inifor_transform.f90 3866 2019-04-05 14:25:01Z suehring $ |
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[3866] | 28 | ! Use PALM's working precision |
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| 29 | ! Improved coding style |
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| 30 | ! |
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| 31 | ! |
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| 32 | ! 3785 2019-03-06 10:41:14Z eckhard |
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[3779] | 33 | ! Remove basic state pressure before computing geostrophic wind |
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| 34 | ! - Introduced new level-based profile averaging routine that does not rely on |
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| 35 | ! external weights average_profile() |
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| 36 | ! - Renamed original weights-based routine average_profile() -> |
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| 37 | ! interp_average_profile() |
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| 38 | ! Average geostrophic wind components on coarse COSMO levels instead of fine PALM levels |
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| 39 | ! - Introduced new profile interpolation routine for interpolating single |
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| 40 | ! profiles from COSMO to PALM levels |
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| 41 | ! - Renamed original array variant interpolate_1d() -> interpolate_1d_arr() |
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| 42 | ! |
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| 43 | ! |
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| 44 | ! |
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| 45 | ! 3716 2019-02-05 17:02:38Z eckhard |
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[3716] | 46 | ! Include out-of-bounds error message in log |
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| 47 | ! |
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| 48 | ! |
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| 49 | ! 3680 2019-01-18 14:54:12Z knoop |
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[3678] | 50 | ! Check if set of averaging columns is empty |
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| 51 | ! |
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| 52 | ! |
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| 53 | ! 3618 2018-12-10 13:25:22Z eckhard |
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[3618] | 54 | ! Prefixed all INIFOR modules with inifor_, removed unused variables |
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| 55 | ! |
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| 56 | ! |
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| 57 | ! 3615 2018-12-10 07:21:03Z raasch |
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[3615] | 58 | ! bugfix: abort replaced by inifor_abort |
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| 59 | ! |
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| 60 | ! 3614 2018-12-10 07:05:46Z raasch |
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[3614] | 61 | ! unused variables removed |
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| 62 | ! |
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| 63 | ! 3613 2018-12-07 18:20:37Z eckhard |
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[3613] | 64 | ! Use averaged heights profile for level-based averaging instead of modified |
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| 65 | ! COSMO heights array |
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| 66 | ! |
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| 67 | ! |
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| 68 | ! 3557 2018-11-22 16:01:22Z eckhard |
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[3557] | 69 | ! Updated documentation |
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| 70 | ! |
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| 71 | ! |
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| 72 | ! 3537 2018-11-20 10:53:14Z eckhard |
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[3534] | 73 | ! bugfix: working precision added |
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| 74 | ! |
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| 75 | ! 3447 2018-10-29 15:52:54Z eckhard |
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[3447] | 76 | ! Renamed source files for compatibilty with PALM build system |
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| 77 | ! |
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| 78 | ! |
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| 79 | ! 3395 2018-10-22 17:32:49Z eckhard |
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[3395] | 80 | ! Switched addressing of averaging regions from index bounds to list of columns |
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| 81 | ! Added routines for the computation of geostrophic winds including: |
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| 82 | ! - the downward extrapolation of density (linear) and |
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| 83 | ! - pressure (hydrostatic equation) and |
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| 84 | ! - rotation of geostrophic wind components to PALM frame of reference |
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| 85 | ! |
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| 86 | ! 3183 2018-07-27 14:25:55Z suehring |
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[3182] | 87 | ! Introduced new PALM grid stretching |
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| 88 | ! Removed unnecessary subroutine parameters |
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| 89 | ! Renamed kcur to k_intermediate |
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[2696] | 90 | ! |
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| 91 | ! |
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[3183] | 92 | ! 3182 2018-07-27 13:36:03Z suehring |
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[2696] | 93 | ! Initial revision |
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| 94 | ! |
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| 95 | ! |
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| 96 | ! |
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| 97 | ! Authors: |
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| 98 | ! -------- |
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[3557] | 99 | !> @author Eckhard Kadasch (Deutscher Wetterdienst, Offenbach) |
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[2696] | 100 | ! |
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| 101 | ! Description: |
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| 102 | ! ------------ |
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| 103 | !> The transform module provides INIFOR's low-level transformation and |
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| 104 | !> interpolation routines. The rotated-pole transformation routines phirot2phi, |
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| 105 | !> phi2phirot, rlarot2rla, rla2rlarot, uv2uvrot, and uvrot2uv are adapted from |
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| 106 | !> int2lm's utility routines. |
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| 107 | !------------------------------------------------------------------------------! |
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[3680] | 108 | #if defined ( __netcdf ) |
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[3618] | 109 | MODULE inifor_transform |
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[2696] | 110 | |
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[3618] | 111 | USE inifor_control |
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| 112 | USE inifor_defs, & |
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[3866] | 113 | ONLY: BETA, G, P_SL, PI, RD, T_SL, TO_DEGREES, TO_RADIANS, wp |
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[3618] | 114 | USE inifor_types |
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| 115 | USE inifor_util, & |
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[3779] | 116 | ONLY: get_basic_state, real_to_str, str |
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[2696] | 117 | |
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| 118 | IMPLICIT NONE |
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| 119 | |
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| 120 | CONTAINS |
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| 121 | |
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[3779] | 122 | |
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[3866] | 123 | SUBROUTINE interpolate_1d(in_arr, out_arr, outgrid) |
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| 124 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 125 | REAL(wp), INTENT(IN) :: in_arr(:) |
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| 126 | REAL(wp), INTENT(OUT) :: out_arr(:) |
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[3779] | 127 | |
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[3866] | 128 | INTEGER :: k, l, nz |
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[3779] | 129 | |
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[3866] | 130 | nz = UBOUND(out_arr, 1) |
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[3779] | 131 | |
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[3866] | 132 | DO k = nz, LBOUND(out_arr, 1), -1 |
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[3779] | 133 | |
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| 134 | ! |
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[3866] | 135 | !-- TODO: Remove IF clause and extrapolate based on a critical vertical |
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| 136 | !-- TODO: index marking the lower bound of COSMO-DE data coverage. |
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| 137 | !-- Check for negative interpolation weights indicating grid points |
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| 138 | !-- below COSMO-DE domain and extrapolate from the top in such cells. |
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| 139 | IF (outgrid%w(1,k,1) < -1.0_wp .AND. k < nz) THEN |
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| 140 | out_arr(k) = out_arr(k+1) |
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| 141 | ELSE |
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| 142 | out_arr(k) = 0.0_wp |
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| 143 | DO l = 1, 2 |
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| 144 | out_arr(k) = out_arr(k) + & |
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| 145 | outgrid%w(1,k,l) * in_arr(outgrid%kkk(1,k,l) ) |
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| 146 | ENDDO |
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| 147 | ENDIF |
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| 148 | ENDDO |
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[3779] | 149 | |
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[3866] | 150 | END SUBROUTINE interpolate_1d |
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[3779] | 151 | |
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| 152 | |
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[2696] | 153 | !------------------------------------------------------------------------------! |
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| 154 | ! Description: |
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| 155 | ! ------------ |
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| 156 | !> Interpolates linearly in the vertical direction in very column (i,j) of the |
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| 157 | !> output array outvar(i,j,:) using values of the source array invar. In cells |
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| 158 | !> that are outside the COSMO-DE domain, indicated by negative interpolation |
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| 159 | !> weights, extrapolate constantly from the cell above. |
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| 160 | !> |
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| 161 | !> Input parameters: |
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| 162 | !> ----------------- |
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| 163 | !> invar : Array of source data |
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| 164 | !> |
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[3866] | 165 | !> outgrid%kk : Array of vertical neighbour indices. kk(i,j,k,:) contain the |
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[2696] | 166 | !> indices of the two vertical neighbors of PALM-4U point (i,j,k) on the |
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| 167 | !> input grid corresponding to the source data invar. |
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| 168 | !> |
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[3866] | 169 | !> outgrid%w_verti : Array of weights for vertical linear interpolation |
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[2696] | 170 | !> corresponding to neighbour points indexed by kk. |
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| 171 | !> |
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| 172 | !> Output papameters: |
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| 173 | !> ------------------ |
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| 174 | !> outvar : Array of interpolated data |
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| 175 | !------------------------------------------------------------------------------! |
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[3866] | 176 | SUBROUTINE interpolate_1d_arr(in_arr, out_arr, outgrid) |
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| 177 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 178 | REAL(wp), INTENT(IN) :: in_arr(0:,0:,0:) |
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| 179 | REAL(wp), INTENT(OUT) :: out_arr(0:,0:,:) |
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[2696] | 180 | |
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[3866] | 181 | INTEGER :: i, j, k, l, nz |
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[2696] | 182 | |
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[3866] | 183 | nz = UBOUND(out_arr, 3) |
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[2696] | 184 | |
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[3866] | 185 | DO j = LBOUND(out_arr, 2), UBOUND(out_arr, 2) |
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| 186 | DO i = LBOUND(out_arr, 1), UBOUND(out_arr, 1) |
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| 187 | DO k = nz, LBOUND(out_arr, 3), -1 |
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[2696] | 188 | |
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[3557] | 189 | ! |
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[3866] | 190 | !-- TODO: Remove IF clause and extrapolate based on a critical vertical |
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| 191 | !-- TODO: index marking the lower bound of COSMO-DE data coverage. |
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| 192 | !-- Check for negative interpolation weights indicating grid points |
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| 193 | !-- below COSMO-DE domain and extrapolate from the top in such cells. |
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| 194 | IF (outgrid%w_verti(i,j,k,1) < -1.0_wp .AND. k < nz) THEN |
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| 195 | out_arr(i,j,k) = out_arr(i,j,k+1) |
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| 196 | ELSE |
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| 197 | out_arr(i,j,k) = 0.0_wp |
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| 198 | DO l = 1, 2 |
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| 199 | out_arr(i,j,k) = out_arr(i,j,k) + & |
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| 200 | outgrid%w_verti(i,j,k,l) * & |
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| 201 | in_arr(i,j,outgrid%kk(i,j,k, l) ) |
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| 202 | ENDDO |
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| 203 | ENDIF |
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| 204 | ENDDO |
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| 205 | ENDDO |
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| 206 | ENDDO |
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| 207 | END SUBROUTINE interpolate_1d_arr |
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[2696] | 208 | |
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| 209 | |
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| 210 | !------------------------------------------------------------------------------! |
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| 211 | ! Description: |
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| 212 | ! ------------ |
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| 213 | !> Interpolates bi-linearly in horizontal planes on every k level of the output |
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| 214 | !> array outvar(:,:,k) using values of the source array invar(:,:,:). The source |
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| 215 | !> (invar) and interpolation array (outvar) need to have matching dimensions. |
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| 216 | !> |
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| 217 | !> Input parameters: |
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| 218 | !> ----------------- |
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| 219 | !> invar : Array of source data |
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| 220 | !> |
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[3866] | 221 | !> outgrid%ii,%jj : Array of neighbour indices in x and y direction. |
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[2696] | 222 | !> ii(i,j,k,:), and jj(i,j,k,:) contain the four horizontal neighbour points |
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| 223 | !> of PALM-4U point (i,j,k) on the input grid corresponding to the source |
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| 224 | !> data invar. (The outgrid carries the relationship with the ingrid in the |
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[3779] | 225 | ! form of the interpolation weights.) |
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[2696] | 226 | !> |
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[3866] | 227 | !> outgrid%w_horiz: Array of weights for horizontal bi-linear interpolation |
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[2696] | 228 | !> corresponding to neighbour points indexed by ii and jj. |
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| 229 | !> |
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| 230 | !> Output papameters: |
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| 231 | !> ------------------ |
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| 232 | !> outvar : Array of interpolated data |
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| 233 | !------------------------------------------------------------------------------! |
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[3866] | 234 | SUBROUTINE interpolate_2d(invar, outvar, outgrid, ncvar) |
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[3557] | 235 | ! |
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[3866] | 236 | !-- I index 0-based for the indices of the outvar to be consistent with the |
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| 237 | !-- outgrid indices and interpolation weights. |
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| 238 | TYPE(grid_definition), INTENT(IN) :: outgrid |
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| 239 | REAL(wp), INTENT(IN) :: invar(0:,0:,0:) |
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| 240 | REAL(wp), INTENT(OUT) :: outvar(0:,0:,0:) |
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| 241 | TYPE(nc_var), INTENT(IN), OPTIONAL :: ncvar |
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[2696] | 242 | |
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[3866] | 243 | INTEGER :: i, j, k, l |
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[2696] | 244 | |
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[3557] | 245 | ! |
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[3866] | 246 | !-- TODO: check if input dimensions are consistent, i.e. ranges are correct |
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| 247 | IF ( UBOUND(outvar, 3) .GT. UBOUND(invar, 3) ) THEN |
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| 248 | message = "Output array for '" // TRIM(ncvar%name) // "' has ' more levels (" // & |
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| 249 | TRIM(str(UBOUND(outvar, 3))) // ") than input variable ("//& |
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| 250 | TRIM(str(UBOUND(invar, 3))) // ")." |
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| 251 | CALL inifor_abort('interpolate_2d', message) |
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| 252 | ENDIF |
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[2696] | 253 | |
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[3866] | 254 | DO k = 0, UBOUND(outvar, 3) |
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| 255 | DO j = 0, UBOUND(outvar, 2) |
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| 256 | DO i = 0, UBOUND(outvar, 1) |
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| 257 | outvar(i,j,k) = 0.0_wp |
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| 258 | DO l = 1, 4 |
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| 259 | |
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| 260 | outvar(i,j,k) = outvar(i,j,k) + & |
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| 261 | outgrid%w_horiz(i,j,l) * invar( outgrid%ii(i,j,l), & |
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| 262 | outgrid%jj(i,j,l), & |
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| 263 | k ) |
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[3785] | 264 | ENDDO |
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[3866] | 265 | ENDDO |
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| 266 | ENDDO |
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| 267 | ENDDO |
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[2696] | 268 | |
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[3866] | 269 | END SUBROUTINE interpolate_2d |
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[2696] | 270 | |
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| 271 | |
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[3557] | 272 | !------------------------------------------------------------------------------! |
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| 273 | ! Description: |
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| 274 | ! ------------ |
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| 275 | !> Compute the horizontal average of the in_arr(:,:,:) and store it in |
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| 276 | !> out_arr(:) |
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| 277 | !------------------------------------------------------------------------------! |
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[3866] | 278 | SUBROUTINE average_2d(in_arr, out_arr, ii, jj) |
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| 279 | REAL(wp), INTENT(IN) :: in_arr(0:,0:,0:) |
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| 280 | REAL(wp), INTENT(OUT) :: out_arr(0:) |
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| 281 | INTEGER, INTENT(IN), DIMENSION(:) :: ii, jj |
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[2696] | 282 | |
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[3866] | 283 | INTEGER :: i, j, k, l |
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| 284 | REAL(wp) :: ni |
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[2696] | 285 | |
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[3866] | 286 | IF (SIZE(ii) /= SIZE(jj)) THEN |
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| 287 | message = "Length of 'ii' and 'jj' index lists do not match." // & |
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| 288 | NEW_LINE(' ') // "ii has " // str(SIZE(ii)) // " elements, " // & |
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| 289 | NEW_LINE(' ') // "jj has " // str(SIZE(jj)) // "." |
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| 290 | CALL inifor_abort('average_2d', message) |
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| 291 | ENDIF |
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[3395] | 292 | |
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[3866] | 293 | IF (SIZE(ii) == 0) THEN |
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| 294 | message = "No columns to average over; " // & |
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| 295 | "size of index lists 'ii' and 'jj' is zero." |
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| 296 | CALL inifor_abort('average_2d', message) |
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| 297 | ENDIF |
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[3678] | 298 | |
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[3866] | 299 | DO k = 0, UBOUND(out_arr, 1) |
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[2696] | 300 | |
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[3866] | 301 | out_arr(k) = 0.0_wp |
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| 302 | DO l = 1, UBOUND(ii, 1) |
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| 303 | i = ii(l) |
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| 304 | j = jj(l) |
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| 305 | out_arr(k) = out_arr(k) + in_arr(i, j, k) |
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[3785] | 306 | ENDDO |
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[3395] | 307 | |
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[3866] | 308 | ENDDO |
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[2696] | 309 | |
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[3866] | 310 | ni = 1.0_wp / SIZE(ii) |
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| 311 | out_arr(:) = out_arr(:) * ni |
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[2696] | 312 | |
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[3866] | 313 | END SUBROUTINE average_2d |
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[2696] | 314 | |
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[3866] | 315 | |
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[3557] | 316 | !------------------------------------------------------------------------------! |
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| 317 | ! Description: |
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| 318 | ! ------------ |
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| 319 | !> Three-dimensional interpolation driver. Interpolates from the source_array to |
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| 320 | !> the given palm_grid. |
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| 321 | !> |
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| 322 | !> The routine separates horizontal and vertical |
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| 323 | !> interpolation. In the horizontal interpolation step, the source_array data is |
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| 324 | !> interpolated along COSMO grid levels onto the intermediate grid (vertically |
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| 325 | !> as coarse as COSMO, horizontally as fine as PALM). |
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| 326 | !------------------------------------------------------------------------------! |
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[3866] | 327 | SUBROUTINE interpolate_3d(source_array, palm_array, palm_intermediate, palm_grid) |
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| 328 | TYPE(grid_definition), INTENT(IN) :: palm_intermediate, palm_grid |
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| 329 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: source_array |
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| 330 | REAL(wp), DIMENSION(:,:,:), INTENT(OUT) :: palm_array |
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| 331 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: intermediate_array |
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| 332 | INTEGER :: nx, ny, nlev |
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[2696] | 333 | |
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[3866] | 334 | nx = palm_intermediate%nx |
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| 335 | ny = palm_intermediate%ny |
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| 336 | nlev = palm_intermediate%nz |
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[2696] | 337 | |
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[3557] | 338 | ! |
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[3866] | 339 | !-- Interpolate from COSMO to intermediate grid. Allocating with one |
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| 340 | !-- less point in the vertical, since scalars like T have 50 instead of 51 |
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| 341 | !-- points in COSMO. |
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| 342 | ALLOCATE(intermediate_array(0:nx, 0:ny, 0:nlev-1)) ! |
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[2696] | 343 | |
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[3866] | 344 | CALL interpolate_2d(source_array, intermediate_array, palm_intermediate) |
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[2696] | 345 | |
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[3557] | 346 | ! |
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[3866] | 347 | !-- Interpolate from intermediate grid to palm_grid grid, includes |
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| 348 | !-- extrapolation for cells below COSMO domain. |
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| 349 | CALL interpolate_1d_arr(intermediate_array, palm_array, palm_grid) |
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[2696] | 350 | |
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[3866] | 351 | DEALLOCATE(intermediate_array) |
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[2696] | 352 | |
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[3866] | 353 | END SUBROUTINE interpolate_3d |
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[2696] | 354 | |
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| 355 | |
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[3557] | 356 | !------------------------------------------------------------------------------! |
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| 357 | ! Description: |
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| 358 | ! ------------ |
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| 359 | !> Average data horizontally from the source_array over the region given by the |
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| 360 | !> averaging grid 'avg_grid' and store the result in 'profile_array'. |
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| 361 | !------------------------------------------------------------------------------! |
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[3866] | 362 | SUBROUTINE interp_average_profile(source_array, profile_array, avg_grid) |
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| 363 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
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| 364 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: source_array |
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| 365 | REAL(wp), DIMENSION(:), INTENT(OUT) :: profile_array |
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[2696] | 366 | |
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[3866] | 367 | INTEGER :: i_source, j_source, k_profile, k_source, l, m |
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[2696] | 368 | |
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[3866] | 369 | REAL :: ni_columns |
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[2696] | 370 | |
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[3866] | 371 | profile_array(:) = 0.0_wp |
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[2696] | 372 | |
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[3866] | 373 | DO l = 1, avg_grid%n_columns |
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| 374 | i_source = avg_grid%iii(l) |
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| 375 | j_source = avg_grid%jjj(l) |
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[2696] | 376 | |
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[3557] | 377 | ! |
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[3866] | 378 | !-- Loop over PALM levels |
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| 379 | DO k_profile = avg_grid%k_min, UBOUND(profile_array, 1) |
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[3395] | 380 | |
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[3557] | 381 | ! |
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[3866] | 382 | !-- Loop over vertical interpolation neighbours |
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| 383 | DO m = 1, 2 |
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[3395] | 384 | |
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[3866] | 385 | k_source = avg_grid%kkk(l, k_profile, m) |
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[3395] | 386 | |
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[3866] | 387 | profile_array(k_profile) = profile_array(k_profile) & |
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| 388 | + avg_grid%w(l, k_profile, m) & |
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| 389 | * source_array(i_source, j_source, k_source) |
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[3557] | 390 | ! |
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[3866] | 391 | !-- Loop over vertical interpolation neighbours m |
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[3785] | 392 | ENDDO |
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[3395] | 393 | |
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[3557] | 394 | ! |
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[3866] | 395 | !-- Loop over PALM levels k_profile |
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[3785] | 396 | ENDDO |
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[3395] | 397 | |
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[3866] | 398 | ! |
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| 399 | !-- Loop over horizontal neighbours l |
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| 400 | ENDDO |
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[3395] | 401 | |
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[3866] | 402 | ni_columns = 1.0_wp / avg_grid%n_columns |
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| 403 | profile_array(:) = profile_array(:) * ni_columns |
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| 404 | |
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[3557] | 405 | ! |
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[3866] | 406 | !-- Constant extrapolation to the bottom |
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| 407 | profile_array(1:avg_grid%k_min-1) = profile_array(avg_grid%k_min) |
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[3395] | 408 | |
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[3866] | 409 | END SUBROUTINE interp_average_profile |
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[3779] | 410 | |
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| 411 | |
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| 412 | !------------------------------------------------------------------------------! |
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| 413 | ! Description: |
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| 414 | ! ------------ |
---|
| 415 | !> Average data horizontally from the source_array over the region given by the |
---|
| 416 | !> averaging grid 'avg_grid' and store the result in 'profile_array'. |
---|
| 417 | !------------------------------------------------------------------------------! |
---|
[3866] | 418 | SUBROUTINE average_profile( source_array, profile_array, avg_grid ) |
---|
[3779] | 419 | |
---|
[3866] | 420 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
| 421 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: source_array |
---|
| 422 | REAL(wp), DIMENSION(:), INTENT(OUT) :: profile_array |
---|
[3779] | 423 | |
---|
[3866] | 424 | INTEGER :: i_source, j_source, l, nz, nlev |
---|
[3779] | 425 | |
---|
[3866] | 426 | REAL(wp) :: ni_columns |
---|
[3779] | 427 | |
---|
[3866] | 428 | nlev = SIZE( source_array, 3 ) |
---|
| 429 | nz = SIZE( profile_array, 1 ) |
---|
[3779] | 430 | |
---|
[3866] | 431 | IF ( nlev /= nz ) THEN |
---|
| 432 | message = "Lengths of input and output profiles do not match: " // & |
---|
| 433 | "cosmo_pressure(" // TRIM( str( nlev ) ) // & |
---|
| 434 | "), profile_array(" // TRIM( str( nz ) ) // ")." |
---|
| 435 | CALL inifor_abort('average_pressure_perturbation', message) |
---|
| 436 | ENDIF |
---|
| 437 | |
---|
| 438 | profile_array(:) = 0.0_wp |
---|
[3779] | 439 | |
---|
[3866] | 440 | DO l = 1, avg_grid%n_columns |
---|
[3779] | 441 | |
---|
[3866] | 442 | i_source = avg_grid%iii(l) |
---|
| 443 | j_source = avg_grid%jjj(l) |
---|
[3779] | 444 | |
---|
[3866] | 445 | profile_array(:) = profile_array(:) & |
---|
| 446 | + source_array(i_source, j_source, :) |
---|
[3779] | 447 | |
---|
[3866] | 448 | ENDDO |
---|
[3779] | 449 | |
---|
[3866] | 450 | ni_columns = 1.0_wp / avg_grid%n_columns |
---|
| 451 | profile_array(:) = profile_array(:) * ni_columns |
---|
[3779] | 452 | |
---|
[3866] | 453 | END SUBROUTINE average_profile |
---|
[2696] | 454 | |
---|
| 455 | |
---|
[3557] | 456 | !------------------------------------------------------------------------------! |
---|
| 457 | ! Description: |
---|
| 458 | ! ------------ |
---|
[3779] | 459 | !> This is a sister routine to average_profile() and differes from it in that |
---|
| 460 | !> it removes the COSMO basic state pressure from the input array before |
---|
| 461 | !> averaging. |
---|
| 462 | !------------------------------------------------------------------------------! |
---|
[3866] | 463 | SUBROUTINE average_pressure_perturbation( cosmo_pressure, profile_array, & |
---|
| 464 | cosmo_grid, avg_grid ) |
---|
[3779] | 465 | |
---|
[3866] | 466 | TYPE(grid_definition), INTENT(IN) :: cosmo_grid, avg_grid |
---|
| 467 | REAL(wp), DIMENSION(:,:,:), INTENT(IN) :: cosmo_pressure |
---|
| 468 | REAL(wp), DIMENSION(:), INTENT(OUT) :: profile_array |
---|
[3779] | 469 | |
---|
[3866] | 470 | INTEGER :: i_source, j_source, l, nz, nlev |
---|
[3779] | 471 | |
---|
[3866] | 472 | REAL(wp) :: ni_columns |
---|
| 473 | REAL(wp), DIMENSION(:), ALLOCATABLE :: basic_state_pressure |
---|
[3779] | 474 | |
---|
[3866] | 475 | nlev = SIZE( cosmo_pressure, 3 ) |
---|
| 476 | nz = SIZE( profile_array, 1 ) |
---|
[3779] | 477 | |
---|
[3866] | 478 | IF ( nlev /= nz ) THEN |
---|
| 479 | message = "Lengths of input and output profiles do not match: " // & |
---|
| 480 | "cosmo_pressure(" // TRIM( str( nlev ) ) // & |
---|
| 481 | "), profile_array(" // TRIM( str( nz ) ) // ")." |
---|
| 482 | CALL inifor_abort('average_pressure_perturbation', message) |
---|
| 483 | ENDIF |
---|
[3779] | 484 | |
---|
[3866] | 485 | ALLOCATE( basic_state_pressure(nz) ) |
---|
| 486 | profile_array(:) = 0.0_wp |
---|
[3779] | 487 | |
---|
[3866] | 488 | DO l = 1, avg_grid%n_columns |
---|
| 489 | i_source = avg_grid%iii(l) |
---|
| 490 | j_source = avg_grid%jjj(l) |
---|
[3779] | 491 | |
---|
| 492 | ! |
---|
[3866] | 493 | !-- Compute pressure perturbation by removing COSMO basic state pressure |
---|
| 494 | CALL get_basic_state( cosmo_grid%hfl(i_source,j_source,:), BETA, & |
---|
| 495 | P_SL, T_SL, RD, G, basic_state_pressure ) |
---|
[3779] | 496 | |
---|
[3866] | 497 | profile_array(:) = profile_array(:) & |
---|
| 498 | + cosmo_pressure(i_source, j_source, :) & |
---|
| 499 | - basic_state_pressure(:) |
---|
[3779] | 500 | |
---|
| 501 | ! |
---|
[3866] | 502 | !-- Loop over horizontal neighbours l |
---|
| 503 | ENDDO |
---|
[3779] | 504 | |
---|
[3866] | 505 | DEALLOCATE( basic_state_pressure ) |
---|
[3779] | 506 | |
---|
[3866] | 507 | ni_columns = 1.0_wp / avg_grid%n_columns |
---|
| 508 | profile_array(:) = profile_array(:) * ni_columns |
---|
[3779] | 509 | |
---|
[3866] | 510 | END SUBROUTINE average_pressure_perturbation |
---|
[3779] | 511 | |
---|
| 512 | |
---|
| 513 | |
---|
| 514 | |
---|
| 515 | !------------------------------------------------------------------------------! |
---|
| 516 | ! Description: |
---|
| 517 | ! ------------ |
---|
[3557] | 518 | !> Extrapolates density linearly from the level 'k_min' downwards. |
---|
| 519 | !------------------------------------------------------------------------------! |
---|
[3866] | 520 | SUBROUTINE extrapolate_density(rho, avg_grid) |
---|
| 521 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: rho |
---|
| 522 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
[2696] | 523 | |
---|
[3866] | 524 | REAL(wp) :: drhodz, dz, zk, rhok |
---|
| 525 | INTEGER :: k_min |
---|
[3395] | 526 | |
---|
[3866] | 527 | k_min = avg_grid%k_min |
---|
| 528 | zk = avg_grid%z(k_min) |
---|
| 529 | rhok = rho(k_min) |
---|
| 530 | dz = avg_grid%z(k_min + 1) - avg_grid%z(k_min) |
---|
| 531 | drhodz = (rho(k_min + 1) - rho(k_min)) / dz |
---|
[3395] | 532 | |
---|
[3866] | 533 | rho(1:k_min-1) = rhok + drhodz * (avg_grid%z(1:k_min-1) - zk) |
---|
[3395] | 534 | |
---|
[3866] | 535 | END SUBROUTINE extrapolate_density |
---|
[3395] | 536 | |
---|
| 537 | |
---|
[3557] | 538 | !------------------------------------------------------------------------------! |
---|
| 539 | ! Description: |
---|
| 540 | ! ------------ |
---|
| 541 | !> Driver for extrapolating pressure from PALM level k_min downwards |
---|
| 542 | !------------------------------------------------------------------------------! |
---|
[3866] | 543 | SUBROUTINE extrapolate_pressure(p, rho, avg_grid) |
---|
| 544 | REAL(wp), DIMENSION(:), INTENT(IN) :: rho |
---|
| 545 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: p |
---|
| 546 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
[3395] | 547 | |
---|
[3866] | 548 | REAL(wp) :: drhodz, dz, zk, rhok |
---|
| 549 | INTEGER :: k, k_min |
---|
[3395] | 550 | |
---|
[3866] | 551 | k_min = avg_grid%k_min |
---|
| 552 | zk = avg_grid%z(k_min) |
---|
| 553 | rhok = rho(k_min) |
---|
| 554 | dz = avg_grid%z(k_min + 1) - avg_grid%z(k_min) |
---|
| 555 | drhodz = 0.5_wp * (rho(k_min + 1) - rho(k_min)) / dz |
---|
[3395] | 556 | |
---|
[3866] | 557 | DO k = 1, k_min-1 |
---|
| 558 | p(k) = constant_density_pressure(p(k_min), zk, rhok, drhodz, & |
---|
| 559 | avg_grid%z(k), G) |
---|
| 560 | ENDDO |
---|
[3395] | 561 | |
---|
[3866] | 562 | END SUBROUTINE extrapolate_pressure |
---|
[3395] | 563 | |
---|
| 564 | |
---|
| 565 | !------------------------------------------------------------------------------! |
---|
| 566 | ! Description: |
---|
| 567 | ! ------------ |
---|
| 568 | !> Takes the averaged pressure profile <p> and sets the lowest entry to the |
---|
| 569 | !> extrapolated pressure at the surface. |
---|
| 570 | !------------------------------------------------------------------------------! |
---|
[3866] | 571 | SUBROUTINE get_surface_pressure(p, rho, avg_grid) |
---|
| 572 | REAL(wp), DIMENSION(:), INTENT(IN) :: rho |
---|
| 573 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: p |
---|
| 574 | TYPE(grid_definition), INTENT(IN) :: avg_grid |
---|
[3395] | 575 | |
---|
[3866] | 576 | REAL(wp) :: drhodz, dz, zk, rhok |
---|
| 577 | INTEGER :: k_min |
---|
[3395] | 578 | |
---|
[3866] | 579 | k_min = avg_grid%k_min |
---|
| 580 | zk = avg_grid%z(k_min) |
---|
| 581 | rhok = rho(k_min) |
---|
| 582 | dz = avg_grid%z(k_min + 1) - avg_grid%z(k_min) |
---|
| 583 | drhodz = 0.5_wp * (rho(k_min + 1) - rho(k_min)) / dz |
---|
[3395] | 584 | |
---|
[3866] | 585 | p(1) = constant_density_pressure(p(k_min), zk, rhok, drhodz, & |
---|
| 586 | 0.0_wp, G) |
---|
[3395] | 587 | |
---|
[3866] | 588 | END SUBROUTINE get_surface_pressure |
---|
[3395] | 589 | |
---|
| 590 | |
---|
[3866] | 591 | FUNCTION constant_density_pressure(pk, zk, rhok, drhodz, z, g) RESULT(p) |
---|
[3395] | 592 | |
---|
[3866] | 593 | REAL(wp), INTENT(IN) :: pk, zk, rhok, drhodz, g, z |
---|
| 594 | REAL(wp) :: p |
---|
[3395] | 595 | |
---|
[3866] | 596 | p = pk + ( zk - z ) * g * ( rhok + 0.5*drhodz * (zk - z) ) |
---|
[3395] | 597 | |
---|
[3866] | 598 | END FUNCTION constant_density_pressure |
---|
[3395] | 599 | |
---|
[2696] | 600 | !-----------------------------------------------------------------------------! |
---|
| 601 | ! Description: |
---|
| 602 | ! ----------- |
---|
[3395] | 603 | !> This routine computes profiles of the two geostrophic wind components ug and |
---|
| 604 | !> vg. |
---|
| 605 | !-----------------------------------------------------------------------------! |
---|
[3866] | 606 | SUBROUTINE geostrophic_winds(p_north, p_south, p_east, p_west, rho, f3, & |
---|
| 607 | Lx, Ly, phi_n, lam_n, phi_g, lam_g, ug, vg) |
---|
[3395] | 608 | |
---|
[3866] | 609 | REAL(wp), DIMENSION(:), INTENT(IN) :: p_north, p_south, p_east, p_west, & |
---|
[3395] | 610 | rho |
---|
[3866] | 611 | REAL(wp), INTENT(IN) :: f3, Lx, Ly, phi_n, lam_n, phi_g, lam_g |
---|
| 612 | REAL(wp), DIMENSION(:), INTENT(OUT) :: ug, vg |
---|
| 613 | REAL(wp) :: facx, facy |
---|
[3395] | 614 | |
---|
[3866] | 615 | facx = 1.0_wp / (Lx * f3) |
---|
| 616 | facy = 1.0_wp / (Ly * f3) |
---|
[3395] | 617 | ug(:) = - facy / rho(:) * (p_north(:) - p_south(:)) |
---|
| 618 | vg(:) = facx / rho(:) * (p_east(:) - p_west(:)) |
---|
| 619 | |
---|
| 620 | CALL rotate_vector_field( & |
---|
| 621 | ug, vg, angle = meridian_convergence_rotated(phi_n, lam_n, phi_g, lam_g)& |
---|
| 622 | ) |
---|
| 623 | |
---|
[3866] | 624 | END SUBROUTINE geostrophic_winds |
---|
[3395] | 625 | |
---|
| 626 | |
---|
| 627 | !-----------------------------------------------------------------------------! |
---|
| 628 | ! Description: |
---|
| 629 | ! ----------- |
---|
[2696] | 630 | !> This routine computes the inverse Plate Carree projection, i.e. in projects |
---|
| 631 | !> Cartesian coordinates (x,y) onto a sphere. It returns the latitude and |
---|
| 632 | !> lngitude of a geographical system centered at x0 and y0. |
---|
| 633 | !-----------------------------------------------------------------------------! |
---|
[3866] | 634 | SUBROUTINE inv_plate_carree(x, y, x0, y0, r, lat, lon) |
---|
| 635 | REAL(wp), INTENT(IN) :: x(:), y(:), x0, y0, r |
---|
| 636 | REAL(wp), INTENT(OUT) :: lat(:), lon(:) |
---|
| 637 | |
---|
| 638 | REAL(wp) :: ri |
---|
[2696] | 639 | |
---|
[3557] | 640 | ! |
---|
[3866] | 641 | !-- TODO check dimensions of lat/lon and y/x match |
---|
[2696] | 642 | |
---|
[3866] | 643 | ri = 1.0_wp / r |
---|
| 644 | |
---|
| 645 | lat(:) = (y(:) - y0) * ri |
---|
| 646 | lon(:) = (x(:) - x0) * ri |
---|
| 647 | END SUBROUTINE |
---|
[2696] | 648 | |
---|
| 649 | |
---|
| 650 | !-----------------------------------------------------------------------------! |
---|
| 651 | ! Description: |
---|
| 652 | ! ------------ |
---|
| 653 | !> Computes the reverse Plate-Carree projection of a x or y position on a |
---|
| 654 | !> Cartesian grid. |
---|
| 655 | !> |
---|
| 656 | !> Input parameters: |
---|
| 657 | !> ----------------- |
---|
| 658 | !> xy : x or y coordinate of the Cartasian grid point [m]. |
---|
| 659 | !> |
---|
| 660 | !> xy0 : x or y coordinate that coincides with the origin of the underlying |
---|
| 661 | !> sperical system (crossing point of the equator and prime meridian) [m]. |
---|
| 662 | !> |
---|
| 663 | !> r : Radius of the of the underlying sphere, e.g. EARTH_RADIUS [m]. |
---|
| 664 | !> |
---|
| 665 | !> Returns: |
---|
| 666 | !> -------- |
---|
| 667 | !> project : Longitude (in case xy = x) or latitude (xy = y) of the given input |
---|
| 668 | !> coordinate xy. |
---|
| 669 | !------------------------------------------------------------------------------! |
---|
[3866] | 670 | ELEMENTAL REAL(wp) FUNCTION project(xy, xy0, r) |
---|
| 671 | REAL(wp), INTENT(IN) :: xy, xy0, r |
---|
| 672 | REAL(wp) :: ri |
---|
[2696] | 673 | |
---|
[3557] | 674 | ! |
---|
[3866] | 675 | !-- If this elemental function is called with a large array as xy, it is |
---|
| 676 | !-- computationally more efficient to precompute the inverse radius and |
---|
| 677 | !-- then muliply. |
---|
| 678 | ri = 1.0_wp / r |
---|
[2696] | 679 | |
---|
[3866] | 680 | project = (xy - xy0) * ri |
---|
[2696] | 681 | |
---|
[3866] | 682 | END FUNCTION project |
---|
[2696] | 683 | |
---|
| 684 | |
---|
[3557] | 685 | !------------------------------------------------------------------------------! |
---|
| 686 | ! Description: |
---|
| 687 | ! ------------ |
---|
| 688 | !> For a rotated-pole system with the origin at geographical latitude 'phi_c', |
---|
| 689 | !> compute the geographical latitude of its rotated north pole. |
---|
| 690 | !------------------------------------------------------------------------------! |
---|
[3866] | 691 | REAL(wp) FUNCTION phic_to_phin(phi_c) |
---|
| 692 | REAL(wp), INTENT(IN) :: phi_c |
---|
[2696] | 693 | |
---|
[3866] | 694 | phic_to_phin = 0.5_wp * PI - ABS(phi_c) |
---|
[2696] | 695 | |
---|
[3866] | 696 | END FUNCTION phic_to_phin |
---|
[2696] | 697 | |
---|
| 698 | |
---|
[3557] | 699 | !------------------------------------------------------------------------------! |
---|
| 700 | ! Description: |
---|
| 701 | ! ------------ |
---|
| 702 | !> For a rotated-pole system with the origin at geographical latitude 'phi_c' |
---|
| 703 | !> and longitude 'lam_c', compute the geographical longitude of its rotated |
---|
| 704 | !> north pole. |
---|
| 705 | !------------------------------------------------------------------------------! |
---|
[3866] | 706 | REAL(wp) FUNCTION lamc_to_lamn(phi_c, lam_c) |
---|
| 707 | REAL(wp), INTENT(IN) :: phi_c, lam_c |
---|
| 708 | |
---|
| 709 | lamc_to_lamn = lam_c |
---|
| 710 | IF (phi_c > 0.0_wp) THEN |
---|
| 711 | lamc_to_lamn = lam_c - SIGN(PI, lam_c) |
---|
| 712 | ENDIF |
---|
[2696] | 713 | |
---|
[3866] | 714 | END FUNCTION lamc_to_lamn |
---|
[2696] | 715 | |
---|
| 716 | |
---|
[3557] | 717 | !------------------------------------------------------------------------------! |
---|
| 718 | ! Description: |
---|
| 719 | ! ------------ |
---|
| 720 | !> Set gamma according to whether PALM domain is in the northern or southern |
---|
| 721 | !> hemisphere of the COSMO rotated-pole system. Gamma assumes either the |
---|
| 722 | !> value 0 or PI and is needed to work around around a bug in the |
---|
| 723 | !> rotated-pole coordinate transformations. |
---|
| 724 | !------------------------------------------------------------------------------! |
---|
[3866] | 725 | REAL(wp) FUNCTION gamma_from_hemisphere(phi_cg, phi_ref) |
---|
| 726 | REAL(wp), INTENT(IN) :: phi_cg |
---|
| 727 | REAL(wp), INTENT(IN) :: phi_ref |
---|
[3557] | 728 | |
---|
[3866] | 729 | LOGICAL :: palm_origin_is_south_of_cosmo_origin |
---|
| 730 | |
---|
| 731 | palm_origin_is_south_of_cosmo_origin = (phi_cg < phi_ref) |
---|
[2696] | 732 | |
---|
[3866] | 733 | IF (palm_origin_is_south_of_cosmo_origin) THEN |
---|
| 734 | gamma_from_hemisphere = PI |
---|
| 735 | ELSE |
---|
| 736 | gamma_from_hemisphere = 0.0_wp |
---|
| 737 | ENDIF |
---|
| 738 | END FUNCTION gamma_from_hemisphere |
---|
[2696] | 739 | |
---|
| 740 | |
---|
| 741 | !------------------------------------------------------------------------------! |
---|
| 742 | ! Description: |
---|
| 743 | ! ------------ |
---|
| 744 | !> Computes the geographical coordinates corresponding to the given rotated-pole |
---|
| 745 | !> coordinates. |
---|
| 746 | !> |
---|
| 747 | !> In INIFOR, this routine is used to convert coordinates between two |
---|
| 748 | !> rotated-pole systems: COSMO-DE's rotated-pole system, and one centred at the |
---|
| 749 | !> PALM-4U domain centre. In this case, the PALM-4U system is thought of as the |
---|
| 750 | !> rotated-pole system and the routine is used to rotate back to COSMO-DE's |
---|
| 751 | !> system which is thought of as the geographical one. |
---|
| 752 | !> |
---|
| 753 | !> Input parameters: |
---|
| 754 | !> ----------------- |
---|
| 755 | !> phir(:), lamr(: ): latitudes and longitudes of the rotated-pole grid |
---|
| 756 | !> |
---|
| 757 | !> phip, lamp: latitude and longitude of the rotated north pole |
---|
| 758 | !> |
---|
| 759 | !> gam: "angle between the north poles. If [gam] is not present, the other |
---|
| 760 | !> system is the real geographical system." (original phiro2rot |
---|
| 761 | !> description) |
---|
| 762 | !> |
---|
| 763 | !> Output parameters: |
---|
| 764 | !> ------------------ |
---|
| 765 | !> phi(:,:), lam(:,:): geographical latitudes and logitudes |
---|
| 766 | !------------------------------------------------------------------------------! |
---|
[3866] | 767 | SUBROUTINE rotate_to_cosmo(phir, lamr, phip, lamp, phi, lam, gam) |
---|
| 768 | REAL(wp), INTENT(IN) :: phir(0:), lamr(0:), phip, lamp, gam |
---|
| 769 | REAL(wp), INTENT(OUT) :: phi(0:,0:), lam(0:,0:) |
---|
[2696] | 770 | |
---|
[3866] | 771 | INTEGER :: i, j |
---|
| 772 | |
---|
| 773 | IF ( SIZE(phi, 1) .NE. SIZE(lam, 1) .OR. & |
---|
| 774 | SIZE(phi, 2) .NE. SIZE(lam, 2) ) THEN |
---|
| 775 | PRINT *, "inifor: rotate_to_cosmo: Dimensions of phi and lambda do not match. Dimensions are:" |
---|
| 776 | PRINT *, "inifor: rotate_to_cosmo: phi: ", SIZE(phi, 1), SIZE(phi, 2) |
---|
| 777 | PRINT *, "inifor: rotate_to_cosmo: lam: ", SIZE(lam, 1), SIZE(lam, 2) |
---|
| 778 | STOP |
---|
| 779 | ENDIF |
---|
[2696] | 780 | |
---|
[3866] | 781 | IF ( SIZE(phir) .NE. SIZE(phi, 2) .OR. & |
---|
| 782 | SIZE(lamr) .NE. SIZE(phi, 1) ) THEN |
---|
| 783 | PRINT *, "inifor: rotate_to_cosmo: Dimensions of phir and lamr do not match. Dimensions are:" |
---|
| 784 | PRINT *, "inifor: rotate_to_cosmo: phir: ", SIZE(phir), SIZE(phi, 2) |
---|
| 785 | PRINT *, "inifor: rotate_to_cosmo: lamr: ", SIZE(lamr), SIZE(phi, 1) |
---|
| 786 | STOP |
---|
| 787 | ENDIF |
---|
| 788 | |
---|
| 789 | DO j = 0, UBOUND(phir, 1) |
---|
| 790 | DO i = 0, UBOUND(lamr, 1) |
---|
[2696] | 791 | |
---|
[3866] | 792 | phi(i,j) = phirot2phi(phir(j) * TO_DEGREES, & |
---|
| 793 | lamr(i) * TO_DEGREES, & |
---|
| 794 | phip * TO_DEGREES, & |
---|
| 795 | gam * TO_DEGREES) * TO_RADIANS |
---|
[2696] | 796 | |
---|
[3866] | 797 | lam(i,j) = rlarot2rla(phir(j) * TO_DEGREES, & |
---|
| 798 | lamr(i) * TO_DEGREES, & |
---|
| 799 | phip * TO_DEGREES, & |
---|
| 800 | lamp * TO_DEGREES, & |
---|
| 801 | gam * TO_DEGREES) * TO_RADIANS |
---|
[2696] | 802 | |
---|
[3785] | 803 | ENDDO |
---|
[3866] | 804 | ENDDO |
---|
[2696] | 805 | |
---|
[3866] | 806 | END SUBROUTINE rotate_to_cosmo |
---|
[3182] | 807 | |
---|
[2696] | 808 | |
---|
[3557] | 809 | !------------------------------------------------------------------------------! |
---|
| 810 | ! Description: |
---|
| 811 | ! ------------ |
---|
| 812 | !> Rotate the given vector field (x(:), y(:)) by the given 'angle'. |
---|
| 813 | !------------------------------------------------------------------------------! |
---|
[3866] | 814 | SUBROUTINE rotate_vector_field(x, y, angle) |
---|
| 815 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: x, y !< x and y coodrinate in arbitrary units |
---|
| 816 | REAL(wp), INTENT(IN) :: angle !< rotation angle [deg] |
---|
[2696] | 817 | |
---|
[3866] | 818 | INTEGER :: i |
---|
| 819 | REAL(wp) :: sine, cosine, v_rot(2), rotation(2,2) |
---|
[3395] | 820 | |
---|
[3866] | 821 | sine = SIN(angle * TO_RADIANS) |
---|
| 822 | cosine = COS(angle * TO_RADIANS) |
---|
[3557] | 823 | ! |
---|
[3866] | 824 | !-- RESAHPE() fills columns first, so the rotation matrix becomes |
---|
| 825 | !-- |
---|
| 826 | !-- rotation = [ cosine -sine ] |
---|
| 827 | !-- [ sine cosine ] |
---|
| 828 | rotation = RESHAPE( (/cosine, sine, -sine, cosine/), (/2, 2/) ) |
---|
[3395] | 829 | |
---|
[3866] | 830 | DO i = LBOUND(x, 1), UBOUND(x, 1) |
---|
[3395] | 831 | |
---|
[3866] | 832 | v_rot(:) = MATMUL(rotation, (/x(i), y(i)/)) |
---|
[3395] | 833 | |
---|
[3866] | 834 | x(i) = v_rot(1) |
---|
| 835 | y(i) = v_rot(2) |
---|
[3395] | 836 | |
---|
[3866] | 837 | ENDDO |
---|
[3395] | 838 | |
---|
[3866] | 839 | END SUBROUTINE rotate_vector_field |
---|
[3395] | 840 | |
---|
| 841 | |
---|
| 842 | |
---|
[2696] | 843 | !------------------------------------------------------------------------------! |
---|
| 844 | ! Description: |
---|
| 845 | ! ------------ |
---|
[3395] | 846 | !> This routine computes the local meridian convergence between a rotated-pole |
---|
| 847 | !> and a geographical system using the Eq. (6) given in the DWD manual |
---|
| 848 | !> |
---|
| 849 | !> Baldauf et al. (2018), Beschreibung des operationelle KuÌrzestfrist- |
---|
| 850 | !> vorhersagemodells COSMO-D2 und COSMO-D2-EPS und seiner Ausgabe in die |
---|
| 851 | !> Datenbanken des DWD. |
---|
| 852 | !> https://www.dwd.de/SharedDocs/downloads/DE/modelldokumentationen/nwv/cosmo_d2/cosmo_d2_dbbeschr_aktuell.pdf?__blob=publicationFile&v=2 |
---|
[3557] | 853 | !------------------------------------------------------------------------------! |
---|
[3866] | 854 | FUNCTION meridian_convergence_rotated(phi_n, lam_n, phi_g, lam_g) & |
---|
| 855 | RESULT(delta) |
---|
[3395] | 856 | |
---|
[3866] | 857 | REAL(wp), INTENT(IN) :: phi_n, lam_n, phi_g, lam_g |
---|
| 858 | REAL(wp) :: delta |
---|
[3395] | 859 | |
---|
[3866] | 860 | delta = atan2( COS(phi_n) * SIN(lam_n - lam_g), & |
---|
| 861 | COS(phi_g) * SIN(phi_n) - & |
---|
| 862 | SIN(phi_g) * COS(phi_n) * COS(lam_n - lam_g) ) |
---|
[3395] | 863 | |
---|
[3866] | 864 | END FUNCTION meridian_convergence_rotated |
---|
[3395] | 865 | |
---|
| 866 | !------------------------------------------------------------------------------! |
---|
| 867 | ! Description: |
---|
| 868 | ! ------------ |
---|
[2696] | 869 | !> Compute indices of PALM-4U grid point neighbours in the target |
---|
| 870 | !> system (COSMO-DE) by rounding up and down. (i,j) are the indices of |
---|
| 871 | !> the PALM-4U grid and (ii(i,j,1-4), jj(i,j,1-4)) contain the indices |
---|
| 872 | !> of the its four neigbouring points in the COSMO-DE grid. |
---|
| 873 | !> |
---|
| 874 | !> |
---|
| 875 | !> COSMO-DE grid |
---|
| 876 | !> ------------- |
---|
| 877 | !> jj, lat |
---|
[3182] | 878 | !> ^ j |
---|
| 879 | !> | \ i |
---|
[2696] | 880 | !> jj(i,j,2/3) + ... 2 ---\--------/------ 3 |
---|
| 881 | !> | | ^ \ / | |
---|
| 882 | !> | | |wp \ / | |
---|
| 883 | !> | | v \ / | |
---|
| 884 | !> latpos + ............ o/ (i,j) | |
---|
| 885 | !> | | : | |
---|
| 886 | !> | | :<----wl---->| |
---|
| 887 | !> jj(i,j,1/4) + ... 1 -------:----------- 4 |
---|
| 888 | !> | : : : |
---|
| 889 | !> | : : : |
---|
| 890 | !> | : lonpos : |
---|
| 891 | !> L-----+--------+------------+------> ii, lon |
---|
| 892 | !> ii(i,j,1/2) ii(i,j,3/4) |
---|
| 893 | !> |
---|
| 894 | !> |
---|
| 895 | !> Input parameters: |
---|
| 896 | !> ----------------- |
---|
| 897 | !> source_lat, source_lon : (rotated-pole) coordinates of the source grid (e.g. |
---|
| 898 | !> COSMO-DE) |
---|
| 899 | !> |
---|
| 900 | !> source_dxi, source_dyi : inverse grid spacings of the source grid. |
---|
| 901 | !> |
---|
| 902 | !> target_lat, target_lon : (rotated-pole) coordinates of the target grid (e.g. |
---|
| 903 | !> COSMO-DE) |
---|
| 904 | !> |
---|
| 905 | !> Output parameters: |
---|
| 906 | !> ------------------ |
---|
| 907 | !> palm_ii, palm_jj : x and y index arrays of horizontal neighbour columns |
---|
| 908 | !> |
---|
| 909 | !------------------------------------------------------------------------------! |
---|
[3866] | 910 | SUBROUTINE find_horizontal_neighbours(cosmo_lat, cosmo_lon, & |
---|
| 911 | palm_clat, palm_clon, & |
---|
| 912 | palm_ii, palm_jj) |
---|
[2696] | 913 | |
---|
[3866] | 914 | REAL(wp), DIMENSION(0:), INTENT(IN) :: cosmo_lat, cosmo_lon |
---|
| 915 | REAL(wp), DIMENSION(0:,0:), INTENT(IN) :: palm_clat, palm_clon |
---|
| 916 | REAL(wp) :: cosmo_dxi, cosmo_dyi |
---|
| 917 | INTEGER, DIMENSION(0:,0:,1:), INTENT(OUT) :: palm_ii, palm_jj |
---|
[2696] | 918 | |
---|
[3866] | 919 | REAL(wp) :: lonpos, latpos, lon0, lat0 |
---|
| 920 | INTEGER :: i, j |
---|
[2696] | 921 | |
---|
[3866] | 922 | lon0 = cosmo_lon(0) |
---|
| 923 | lat0 = cosmo_lat(0) |
---|
| 924 | cosmo_dxi = 1.0_wp / (cosmo_lon(1) - cosmo_lon(0)) |
---|
| 925 | cosmo_dyi = 1.0_wp / (cosmo_lat(1) - cosmo_lat(0)) |
---|
[2696] | 926 | |
---|
[3866] | 927 | DO j = 0, UBOUND(palm_clon, 2)!palm_grid%ny |
---|
| 928 | DO i = 0, UBOUND(palm_clon, 1)!palm_grid%nx |
---|
[3557] | 929 | ! |
---|
[3866] | 930 | !-- Compute the floating point index corrseponding to PALM-4U grid point |
---|
| 931 | !-- location along target grid (COSMO-DE) axes. |
---|
| 932 | lonpos = (palm_clon(i,j) - lon0) * cosmo_dxi |
---|
| 933 | latpos = (palm_clat(i,j) - lat0) * cosmo_dyi |
---|
[2696] | 934 | |
---|
[3866] | 935 | IF (lonpos < 0.0_wp .OR. latpos < 0.0_wp) THEN |
---|
| 936 | message = "lonpos or latpos out of bounds " // & |
---|
| 937 | "while finding interpolation neighbours!" // NEW_LINE(' ') // & |
---|
| 938 | " (i,j) = (" // & |
---|
| 939 | TRIM(str(i)) // ", " // TRIM(str(j)) // ")" // NEW_LINE(' ') //& |
---|
| 940 | " lonpos " // TRIM(real_to_str(lonpos*TO_DEGREES)) // & |
---|
| 941 | ", latpos " // TRIM(real_to_str(latpos*TO_DEGREES)) // NEW_LINE(' ') // & |
---|
| 942 | " lon0 " // TRIM(real_to_str(lon0 *TO_DEGREES)) // & |
---|
| 943 | ", lat0 " // TRIM(real_to_str(lat0*TO_DEGREES)) // NEW_LINE(' ') // & |
---|
| 944 | " PALM lon " // TRIM(real_to_str(palm_clon(i,j)*TO_DEGREES)) // & |
---|
| 945 | ", PALM lat " // TRIM(real_to_str(palm_clat(i,j)*TO_DEGREES)) |
---|
| 946 | CALL inifor_abort('find_horizontal_neighbours', message) |
---|
| 947 | ENDIF |
---|
[2696] | 948 | |
---|
[3866] | 949 | palm_ii(i,j,1) = FLOOR(lonpos) |
---|
| 950 | palm_ii(i,j,2) = FLOOR(lonpos) |
---|
| 951 | palm_ii(i,j,3) = CEILING(lonpos) |
---|
| 952 | palm_ii(i,j,4) = CEILING(lonpos) |
---|
[2696] | 953 | |
---|
[3866] | 954 | palm_jj(i,j,1) = FLOOR(latpos) |
---|
| 955 | palm_jj(i,j,2) = CEILING(latpos) |
---|
| 956 | palm_jj(i,j,3) = CEILING(latpos) |
---|
| 957 | palm_jj(i,j,4) = FLOOR(latpos) |
---|
| 958 | ENDDO |
---|
| 959 | ENDDO |
---|
[2696] | 960 | |
---|
[3866] | 961 | END SUBROUTINE find_horizontal_neighbours |
---|
[2696] | 962 | |
---|
| 963 | |
---|
[3557] | 964 | !------------------------------------------------------------------------------! |
---|
| 965 | ! Description: |
---|
| 966 | ! ------------ |
---|
| 967 | !> Computes linear vertical interpolation neighbour indices and weights for each |
---|
| 968 | !> column of the given palm grid. |
---|
| 969 | !------------------------------------------------------------------------------! |
---|
[3866] | 970 | SUBROUTINE find_vertical_neighbours_and_weights_interp( palm_grid, & |
---|
[3395] | 971 | palm_intermediate ) |
---|
[3866] | 972 | TYPE(grid_definition), INTENT(INOUT) :: palm_grid |
---|
| 973 | TYPE(grid_definition), INTENT(IN) :: palm_intermediate |
---|
[2696] | 974 | |
---|
[3866] | 975 | INTEGER :: i, j, k, nx, ny, nz, nlev, k_intermediate |
---|
| 976 | LOGICAL :: point_is_below_grid, point_is_above_grid, & |
---|
| 977 | point_is_in_current_cell |
---|
| 978 | REAL(wp) :: current_height, column_base, column_top, h_top, h_bottom, & |
---|
| 979 | weight |
---|
[2696] | 980 | |
---|
[3866] | 981 | nx = palm_grid%nx |
---|
| 982 | ny = palm_grid%ny |
---|
| 983 | nz = palm_grid%nz |
---|
| 984 | nlev = palm_intermediate%nz |
---|
[2696] | 985 | |
---|
[3557] | 986 | ! |
---|
[3866] | 987 | !-- in each column of the fine grid, find vertical neighbours of every cell |
---|
| 988 | DO j = 0, ny |
---|
| 989 | DO i = 0, nx |
---|
[2696] | 990 | |
---|
[3866] | 991 | k_intermediate = 0 |
---|
[2696] | 992 | |
---|
[3866] | 993 | column_base = palm_intermediate%h(i,j,0) |
---|
| 994 | column_top = palm_intermediate%h(i,j,nlev) |
---|
[2696] | 995 | |
---|
[3557] | 996 | ! |
---|
[3866] | 997 | !-- scan through palm_grid column and set neighbour indices in |
---|
| 998 | !-- case current_height is either below column_base, in the current |
---|
| 999 | !-- cell, or above column_top. Keep increasing current cell index until |
---|
| 1000 | !-- the current cell overlaps with the current_height. |
---|
| 1001 | DO k = 1, nz |
---|
[2696] | 1002 | |
---|
[3557] | 1003 | ! |
---|
[3866] | 1004 | !-- Memorize the top and bottom boundaries of the coarse cell and the |
---|
| 1005 | !-- current height within it |
---|
| 1006 | current_height = palm_grid%z(k) + palm_grid%z0 |
---|
| 1007 | h_top = palm_intermediate%h(i,j,k_intermediate+1) |
---|
| 1008 | h_bottom = palm_intermediate%h(i,j,k_intermediate) |
---|
[2696] | 1009 | |
---|
[3866] | 1010 | point_is_above_grid = (current_height > column_top) !22000m, very unlikely |
---|
| 1011 | point_is_below_grid = (current_height < column_base) |
---|
[2696] | 1012 | |
---|
[3866] | 1013 | point_is_in_current_cell = ( & |
---|
| 1014 | current_height >= h_bottom .AND. & |
---|
| 1015 | current_height < h_top & |
---|
| 1016 | ) |
---|
[2696] | 1017 | |
---|
[3557] | 1018 | ! |
---|
[3866] | 1019 | !-- set default weights |
---|
| 1020 | palm_grid%w_verti(i,j,k,1:2) = 0.0_wp |
---|
[2696] | 1021 | |
---|
[3866] | 1022 | IF (point_is_above_grid) THEN |
---|
[2696] | 1023 | |
---|
[3866] | 1024 | palm_grid%kk(i,j,k,1:2) = nlev |
---|
| 1025 | palm_grid%w_verti(i,j,k,1:2) = - 2.0_wp |
---|
[2696] | 1026 | |
---|
[3866] | 1027 | message = "PALM-4U grid extends above COSMO-DE model top." |
---|
| 1028 | CALL inifor_abort('find_vertical_neighbours_and_weights', message) |
---|
[3182] | 1029 | |
---|
[3866] | 1030 | ELSE IF (point_is_below_grid) THEN |
---|
[2696] | 1031 | |
---|
[3866] | 1032 | palm_grid%kk(i,j,k,1:2) = 0 |
---|
| 1033 | palm_grid%w_verti(i,j,k,1:2) = - 2.0_wp |
---|
[2696] | 1034 | |
---|
[3866] | 1035 | ELSE |
---|
[3557] | 1036 | ! |
---|
[3866] | 1037 | !-- cycle through intermediate levels until current |
---|
| 1038 | !-- intermediate-grid cell overlaps with current_height |
---|
| 1039 | DO WHILE (.NOT. point_is_in_current_cell .AND. k_intermediate <= nlev-1) |
---|
| 1040 | k_intermediate = k_intermediate + 1 |
---|
[2696] | 1041 | |
---|
[3866] | 1042 | h_top = palm_intermediate%h(i,j,k_intermediate+1) |
---|
| 1043 | h_bottom = palm_intermediate%h(i,j,k_intermediate) |
---|
| 1044 | point_is_in_current_cell = ( & |
---|
| 1045 | current_height >= h_bottom .AND. & |
---|
| 1046 | current_height < h_top & |
---|
| 1047 | ) |
---|
| 1048 | ENDDO |
---|
[2696] | 1049 | |
---|
[3866] | 1050 | IF (k_intermediate > nlev-1) THEN |
---|
| 1051 | message = "Index " // TRIM(str(k_intermediate)) // & |
---|
| 1052 | " is above intermediate grid range." |
---|
| 1053 | CALL inifor_abort('find_vertical_neighbours', message) |
---|
| 1054 | ENDIF |
---|
[2696] | 1055 | |
---|
[3866] | 1056 | palm_grid%kk(i,j,k,1) = k_intermediate |
---|
| 1057 | palm_grid%kk(i,j,k,2) = k_intermediate + 1 |
---|
[2696] | 1058 | |
---|
[3557] | 1059 | ! |
---|
[3866] | 1060 | !-- compute vertical weights |
---|
| 1061 | weight = (h_top - current_height) / (h_top - h_bottom) |
---|
| 1062 | palm_grid%w_verti(i,j,k,1) = weight |
---|
| 1063 | palm_grid%w_verti(i,j,k,2) = 1.0_wp - weight |
---|
| 1064 | ENDIF |
---|
[2696] | 1065 | |
---|
[3785] | 1066 | ENDDO |
---|
[2696] | 1067 | |
---|
[3866] | 1068 | ENDDO |
---|
| 1069 | ENDDO |
---|
[2696] | 1070 | |
---|
[3866] | 1071 | END SUBROUTINE find_vertical_neighbours_and_weights_interp |
---|
[3395] | 1072 | |
---|
[3866] | 1073 | |
---|
[3557] | 1074 | !------------------------------------------------------------------------------! |
---|
| 1075 | ! Description: |
---|
| 1076 | ! ------------ |
---|
| 1077 | !> Computes linear vertical interpolation neighbour indices and weights for each |
---|
| 1078 | !> column of the given averaging grid. |
---|
| 1079 | !> |
---|
| 1080 | !> The difference to the _interp variant of this routine lies in how columns |
---|
| 1081 | !> are adressed. While the _interp variant loops over all PALM grid columns |
---|
| 1082 | !> given by combinations of all index indices (i,j), this routine loops over a |
---|
| 1083 | !> subset of COSMO columns, which are sequantlially stored in the index lists |
---|
| 1084 | !> iii(:) and jjj(:). |
---|
| 1085 | !------------------------------------------------------------------------------! |
---|
[3866] | 1086 | SUBROUTINE find_vertical_neighbours_and_weights_average( & |
---|
| 1087 | avg_grid, level_based_averaging & |
---|
| 1088 | ) |
---|
[3395] | 1089 | |
---|
[3866] | 1090 | TYPE(grid_definition), INTENT(INOUT), TARGET :: avg_grid |
---|
| 1091 | LOGICAL :: level_based_averaging |
---|
[3395] | 1092 | |
---|
[3866] | 1093 | INTEGER :: i, j, k_palm, k_intermediate, l, nlev |
---|
| 1094 | LOGICAL :: point_is_below_grid, point_is_above_grid, & |
---|
| 1095 | point_is_in_current_cell |
---|
| 1096 | REAL(wp) :: current_height, column_base, column_top, h_top, & |
---|
| 1097 | h_bottom, weight |
---|
| 1098 | REAL(wp), POINTER :: cosmo_h(:,:,:) |
---|
[3395] | 1099 | |
---|
[3613] | 1100 | |
---|
[3866] | 1101 | avg_grid%k_min = LBOUND(avg_grid%z, 1) |
---|
[3395] | 1102 | |
---|
[3866] | 1103 | nlev = SIZE(avg_grid%cosmo_h, 3) |
---|
[3395] | 1104 | |
---|
[3866] | 1105 | IF (level_based_averaging) THEN |
---|
| 1106 | cosmo_h => avg_grid%h |
---|
| 1107 | ELSE |
---|
| 1108 | cosmo_h => avg_grid%cosmo_h |
---|
| 1109 | ENDIF |
---|
| 1110 | |
---|
| 1111 | ! |
---|
| 1112 | !-- in each column of the fine grid, find vertical neighbours of every cell |
---|
| 1113 | DO l = 1, avg_grid%n_columns |
---|
| 1114 | |
---|
[3613] | 1115 | IF (level_based_averaging) THEN |
---|
[3866] | 1116 | i = 1 |
---|
| 1117 | j = 1 |
---|
[3613] | 1118 | ELSE |
---|
[3866] | 1119 | i = avg_grid%iii(l) |
---|
| 1120 | j = avg_grid%jjj(l) |
---|
[3785] | 1121 | ENDIF |
---|
[3613] | 1122 | |
---|
[3866] | 1123 | column_base = cosmo_h(i,j,1) |
---|
| 1124 | column_top = cosmo_h(i,j,nlev) |
---|
[3395] | 1125 | |
---|
[3557] | 1126 | ! |
---|
[3866] | 1127 | !-- scan through avg_grid column until and set neighbour indices in |
---|
| 1128 | !-- case current_height is either below column_base, in the current |
---|
| 1129 | !-- cell, or above column_top. Keep increasing current cell index until |
---|
| 1130 | !-- the current cell overlaps with the current_height. |
---|
| 1131 | k_intermediate = 1 !avg_grid%cosmo_h is indezed 1-based. |
---|
| 1132 | DO k_palm = 1, avg_grid%nz |
---|
[3395] | 1133 | |
---|
[3557] | 1134 | ! |
---|
[3866] | 1135 | !-- Memorize the top and bottom boundaries of the coarse cell and the |
---|
| 1136 | !-- current height within it |
---|
| 1137 | current_height = avg_grid%z(k_palm) + avg_grid%z0 |
---|
| 1138 | h_top = cosmo_h(i,j,k_intermediate+1) |
---|
| 1139 | h_bottom = cosmo_h(i,j,k_intermediate) |
---|
[3395] | 1140 | |
---|
[3557] | 1141 | ! |
---|
[3866] | 1142 | !-- COSMO column top is located at 22000m, point_is_above_grid is very |
---|
| 1143 | !-- unlikely. |
---|
| 1144 | point_is_above_grid = (current_height > column_top) |
---|
| 1145 | point_is_below_grid = (current_height < column_base) |
---|
[3395] | 1146 | |
---|
[3866] | 1147 | point_is_in_current_cell = ( & |
---|
| 1148 | current_height >= h_bottom .AND. & |
---|
| 1149 | current_height < h_top & |
---|
| 1150 | ) |
---|
[3395] | 1151 | |
---|
[3557] | 1152 | ! |
---|
[3866] | 1153 | !-- set default weights |
---|
| 1154 | avg_grid%w(l,k_palm,1:2) = 0.0_wp |
---|
[3395] | 1155 | |
---|
[3866] | 1156 | IF (point_is_above_grid) THEN |
---|
[3395] | 1157 | |
---|
[3866] | 1158 | avg_grid%kkk(l,k_palm,1:2) = nlev |
---|
| 1159 | avg_grid%w(l,k_palm,1:2) = - 2.0_wp |
---|
[3395] | 1160 | |
---|
[3866] | 1161 | message = "PALM-4U grid extends above COSMO-DE model top." |
---|
| 1162 | CALL inifor_abort('find_vertical_neighbours_and_weights_average', message) |
---|
[3395] | 1163 | |
---|
[3866] | 1164 | ELSE IF (point_is_below_grid) THEN |
---|
[3395] | 1165 | |
---|
[3866] | 1166 | avg_grid%kkk(l,k_palm,1:2) = 0 |
---|
| 1167 | avg_grid%w(l,k_palm,1:2) = - 2.0_wp |
---|
| 1168 | avg_grid%k_min = MAX(k_palm + 1, avg_grid%k_min) |
---|
| 1169 | ELSE |
---|
[3557] | 1170 | ! |
---|
[3866] | 1171 | !-- cycle through intermediate levels until current |
---|
| 1172 | !-- intermediate-grid cell overlaps with current_height |
---|
| 1173 | DO WHILE (.NOT. point_is_in_current_cell .AND. k_intermediate <= nlev-1) |
---|
| 1174 | k_intermediate = k_intermediate + 1 |
---|
[3395] | 1175 | |
---|
[3866] | 1176 | h_top = cosmo_h(i,j,k_intermediate+1) |
---|
| 1177 | h_bottom = cosmo_h(i,j,k_intermediate) |
---|
| 1178 | point_is_in_current_cell = ( & |
---|
| 1179 | current_height >= h_bottom .AND. & |
---|
| 1180 | current_height < h_top & |
---|
| 1181 | ) |
---|
| 1182 | ENDDO |
---|
[3395] | 1183 | |
---|
[3557] | 1184 | ! |
---|
[3866] | 1185 | !-- k_intermediate = 48 indicates the last section (indices 48 and 49), i.e. |
---|
| 1186 | !-- k_intermediate = 49 is not the beginning of a valid cell. |
---|
| 1187 | IF (k_intermediate > nlev-1) THEN |
---|
| 1188 | message = "Index " // TRIM(str(k_intermediate)) // & |
---|
| 1189 | " is above intermediate grid range." |
---|
| 1190 | CALL inifor_abort('find_vertical_neighbours', message) |
---|
| 1191 | ENDIF |
---|
[3395] | 1192 | |
---|
[3866] | 1193 | avg_grid%kkk(l,k_palm,1) = k_intermediate |
---|
| 1194 | avg_grid%kkk(l,k_palm,2) = k_intermediate + 1 |
---|
[3395] | 1195 | |
---|
[3557] | 1196 | ! |
---|
[3866] | 1197 | !-- compute vertical weights |
---|
| 1198 | weight = (h_top - current_height) / (h_top - h_bottom) |
---|
| 1199 | avg_grid%w(l,k_palm,1) = weight |
---|
| 1200 | avg_grid%w(l,k_palm,2) = 1.0_wp - weight |
---|
| 1201 | ENDIF |
---|
[3395] | 1202 | |
---|
[3557] | 1203 | ! |
---|
[3866] | 1204 | !-- Loop over PALM levels k |
---|
| 1205 | ENDDO |
---|
[3557] | 1206 | |
---|
| 1207 | ! |
---|
[3866] | 1208 | !-- Loop over averaging columns l |
---|
| 1209 | ENDDO |
---|
[3395] | 1210 | |
---|
[3866] | 1211 | END SUBROUTINE find_vertical_neighbours_and_weights_average |
---|
[3395] | 1212 | |
---|
[2696] | 1213 | !------------------------------------------------------------------------------! |
---|
| 1214 | ! Description: |
---|
| 1215 | ! ------------ |
---|
| 1216 | !> Compute the four weights for horizontal bilinear interpolation given the |
---|
| 1217 | !> coordinates clon(i,j) clat(i,j) of the PALM-4U grid in the COSMO-DE |
---|
| 1218 | !> rotated-pole grid and the neightbour indices ii(i,j,1-4) and jj(i,j,1-4). |
---|
| 1219 | !> |
---|
| 1220 | !> Input parameters: |
---|
| 1221 | !> ----------------- |
---|
[3866] | 1222 | !> palm_grid%clon : longitudes of PALM-4U scalars (cell centres) in COSMO-DE's rotated-pole grid [rad] |
---|
[2696] | 1223 | !> |
---|
[3866] | 1224 | !> palm_grid%clat : latitudes of PALM-4U cell centres in COSMO-DE's rotated-pole grid [rad] |
---|
[2696] | 1225 | !> |
---|
[3866] | 1226 | !> cosmo_grid%lon : rotated-pole longitudes of scalars (cell centres) of the COSMO-DE grid [rad] |
---|
[2696] | 1227 | !> |
---|
[3866] | 1228 | !> cosmo_grid%lat : rotated-pole latitudes of scalars (cell centers) of the COSMO-DE grid [rad] |
---|
[2696] | 1229 | !> |
---|
[3866] | 1230 | !> cosmo_grid%dxi : inverse grid spacing in the first dimension [m^-1] |
---|
[2696] | 1231 | !> |
---|
[3866] | 1232 | !> cosmo_grid%dyi : inverse grid spacing in the second dimension [m^-1] |
---|
[2696] | 1233 | !> |
---|
| 1234 | !> Output parameters: |
---|
| 1235 | !> ------------------ |
---|
[3866] | 1236 | !> palm_grid%w_horiz(:,:,1-4) : weights for bilinear horizontal interpolation |
---|
[2696] | 1237 | ! |
---|
| 1238 | ! COSMO-DE grid |
---|
| 1239 | ! ------------- |
---|
| 1240 | ! jj, lat |
---|
| 1241 | ! ^ j |
---|
| 1242 | ! | \ i |
---|
| 1243 | ! jj(i,j,2/3) + ... 2 ---\--------/------ 3 |
---|
| 1244 | ! | | ^ \ / | |
---|
| 1245 | ! | | |wp \ / | |
---|
| 1246 | ! | | v \ / | |
---|
| 1247 | ! latpos + ............ o/ (i,j) | |
---|
| 1248 | ! | | : | |
---|
| 1249 | ! | | :<----wl---->| |
---|
| 1250 | ! jj(i,j,1/4) + ... 1 -------:----------- 4 |
---|
| 1251 | ! | : : : |
---|
| 1252 | ! | : : : |
---|
| 1253 | ! | : lonpos : |
---|
| 1254 | ! L-----+--------+------------+------> ii, lon |
---|
| 1255 | ! ii(i,j,1/2) ii(i,j,3/4) |
---|
| 1256 | ! |
---|
[3557] | 1257 | !------------------------------------------------------------------------------! |
---|
[3866] | 1258 | SUBROUTINE compute_horizontal_interp_weights(cosmo_lat, cosmo_lon, & |
---|
| 1259 | palm_clat, palm_clon, palm_ii, palm_jj, palm_w_horiz) |
---|
[2696] | 1260 | |
---|
[3866] | 1261 | REAL(wp), DIMENSION(0:), INTENT(IN) :: cosmo_lat, cosmo_lon |
---|
| 1262 | REAL(wp) :: cosmo_dxi, cosmo_dyi |
---|
| 1263 | REAL(wp), DIMENSION(0:,0:), INTENT(IN) :: palm_clat, palm_clon |
---|
| 1264 | INTEGER, DIMENSION(0:,0:,1:), INTENT(IN) :: palm_ii, palm_jj |
---|
[2696] | 1265 | |
---|
[3866] | 1266 | REAL(wp), DIMENSION(0:,0:,1:), INTENT(OUT) :: palm_w_horiz |
---|
[2696] | 1267 | |
---|
[3866] | 1268 | REAL(wp) :: wlambda, wphi |
---|
| 1269 | INTEGER :: i, j |
---|
[2696] | 1270 | |
---|
[3866] | 1271 | cosmo_dxi = 1.0_wp / (cosmo_lon(1) - cosmo_lon(0)) |
---|
| 1272 | cosmo_dyi = 1.0_wp / (cosmo_lat(1) - cosmo_lat(0)) |
---|
[3182] | 1273 | |
---|
[3866] | 1274 | DO j = 0, UBOUND(palm_clon, 2) |
---|
| 1275 | DO i = 0, UBOUND(palm_clon, 1) |
---|
| 1276 | |
---|
[3557] | 1277 | ! |
---|
[3866] | 1278 | !-- weight in lambda direction |
---|
| 1279 | wlambda = ( cosmo_lon(palm_ii(i,j,4)) - palm_clon(i,j) ) * cosmo_dxi |
---|
[2696] | 1280 | |
---|
[3557] | 1281 | ! |
---|
[3866] | 1282 | !-- weight in phi direction |
---|
| 1283 | wphi = ( cosmo_lat(palm_jj(i,j,2)) - palm_clat(i,j) ) * cosmo_dyi |
---|
[2696] | 1284 | |
---|
[3866] | 1285 | IF (wlambda > 1.0_wp .OR. wlambda < 0.0_wp) THEN |
---|
| 1286 | message = "Horizontal weight wlambda = " // TRIM(real_to_str(wlambda)) // & |
---|
| 1287 | " is out bounds." |
---|
| 1288 | CALL inifor_abort('compute_horizontal_interp_weights', message) |
---|
| 1289 | ENDIF |
---|
| 1290 | IF (wphi > 1.0_wp .OR. wphi < 0.0_wp) THEN |
---|
| 1291 | message = "Horizontal weight wphi = " // TRIM(real_to_str(wphi)) // & |
---|
| 1292 | " is out bounds." |
---|
| 1293 | CALL inifor_abort('compute_horizontal_interp_weights', message) |
---|
| 1294 | ENDIF |
---|
[2696] | 1295 | |
---|
[3866] | 1296 | palm_w_horiz(i,j,1) = wlambda * wphi |
---|
| 1297 | palm_w_horiz(i,j,2) = wlambda * (1.0_wp - wphi) |
---|
| 1298 | palm_w_horiz(i,j,3) = (1.0_wp - wlambda) * (1.0_wp - wphi) |
---|
| 1299 | palm_w_horiz(i,j,4) = 1.0_wp - SUM( palm_w_horiz(i,j,1:3) ) |
---|
[2696] | 1300 | |
---|
[3866] | 1301 | ENDDO |
---|
| 1302 | ENDDO |
---|
[2696] | 1303 | |
---|
[3866] | 1304 | END SUBROUTINE compute_horizontal_interp_weights |
---|
[2696] | 1305 | |
---|
| 1306 | |
---|
| 1307 | !------------------------------------------------------------------------------! |
---|
| 1308 | ! Description: |
---|
| 1309 | ! ------------ |
---|
| 1310 | !> Interpolates u and v components of velocities located at cell faces to the |
---|
| 1311 | !> cell centres by averaging neighbouring values. |
---|
| 1312 | !> |
---|
| 1313 | !> This routine is designed to be used with COSMO-DE arrays where there are the |
---|
| 1314 | !> same number of grid points for scalars (centres) and velocities (faces). In |
---|
| 1315 | !> COSMO-DE the velocity points are staggared one half grid spaceing up-grid |
---|
| 1316 | !> which means the first centre point has to be omitted and is set to zero. |
---|
[3557] | 1317 | !------------------------------------------------------------------------------! |
---|
[3866] | 1318 | SUBROUTINE centre_velocities(u_face, v_face, u_centre, v_centre) |
---|
| 1319 | REAL(wp), DIMENSION(0:,0:,0:), INTENT(IN) :: u_face, v_face |
---|
| 1320 | REAL(wp), DIMENSION(0:,0:,0:), INTENT(OUT) :: u_centre, v_centre |
---|
| 1321 | INTEGER :: nx, ny |
---|
[2696] | 1322 | |
---|
[3866] | 1323 | nx = UBOUND(u_face, 1) |
---|
| 1324 | ny = UBOUND(u_face, 2) |
---|
[2696] | 1325 | |
---|
[3866] | 1326 | u_centre(0,:,:) = 0.0_wp |
---|
| 1327 | u_centre(1:,:,:) = 0.5_wp * ( u_face(0:nx-1,:,:) + u_face(1:,:,:) ) |
---|
[2696] | 1328 | |
---|
[3866] | 1329 | v_centre(:,0,:) = 0.0_wp |
---|
| 1330 | v_centre(:,1:,:) = 0.5_wp * ( v_face(:,0:ny-1,:) + v_face(:,1:,:) ) |
---|
| 1331 | END SUBROUTINE centre_velocities |
---|
[2696] | 1332 | |
---|
| 1333 | |
---|
[3557] | 1334 | !------------------------------------------------------------------------------! |
---|
| 1335 | ! Description: |
---|
| 1336 | ! ------------ |
---|
| 1337 | !> Compute the geographical latitude of a point given in rotated-pole cordinates |
---|
| 1338 | !------------------------------------------------------------------------------! |
---|
[3866] | 1339 | FUNCTION phirot2phi (phirot, rlarot, polphi, polgam) |
---|
| 1340 | |
---|
| 1341 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1342 | REAL(wp), INTENT (IN) :: phirot !< latitude in the rotated system |
---|
| 1343 | REAL(wp), INTENT (IN) :: rlarot !< longitude in the rotated system |
---|
| 1344 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
[2696] | 1345 | |
---|
[3866] | 1346 | REAL(wp) :: phirot2phi !< latitude in the geographical system |
---|
[2696] | 1347 | |
---|
[3866] | 1348 | REAL(wp) :: zsinpol, zcospol, zphis, zrlas, zarg, zgam |
---|
| 1349 | |
---|
| 1350 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1351 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1352 | zphis = phirot * TO_RADIANS |
---|
[2696] | 1353 | |
---|
[3866] | 1354 | IF (rlarot > 180.0_wp) THEN |
---|
| 1355 | zrlas = rlarot - 360.0_wp |
---|
| 1356 | ELSE |
---|
| 1357 | zrlas = rlarot |
---|
| 1358 | ENDIF |
---|
| 1359 | zrlas = zrlas * TO_RADIANS |
---|
| 1360 | |
---|
| 1361 | IF (polgam /= 0.0_wp) THEN |
---|
| 1362 | zgam = polgam * TO_RADIANS |
---|
| 1363 | zarg = zsinpol * SIN (zphis) + & |
---|
| 1364 | zcospol * COS(zphis) * ( COS(zrlas) * COS(zgam) - & |
---|
| 1365 | SIN(zgam) * SIN(zrlas) ) |
---|
| 1366 | ELSE |
---|
| 1367 | zarg = zcospol * COS (zphis) * COS (zrlas) + zsinpol * SIN (zphis) |
---|
| 1368 | ENDIF |
---|
| 1369 | |
---|
| 1370 | phirot2phi = ASIN (zarg) * TO_DEGREES |
---|
| 1371 | |
---|
| 1372 | END FUNCTION phirot2phi |
---|
[2696] | 1373 | |
---|
| 1374 | |
---|
[3557] | 1375 | !------------------------------------------------------------------------------! |
---|
| 1376 | ! Description: |
---|
| 1377 | ! ------------ |
---|
| 1378 | !> Compute the geographical latitude of a point given in rotated-pole cordinates |
---|
| 1379 | !------------------------------------------------------------------------------! |
---|
[3866] | 1380 | FUNCTION phi2phirot (phi, rla, polphi, pollam) |
---|
| 1381 | |
---|
| 1382 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1383 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1384 | REAL(wp), INTENT (IN) :: phi !< latitude in the geographical system |
---|
| 1385 | REAL(wp), INTENT (IN) :: rla !< longitude in the geographical system |
---|
[2696] | 1386 | |
---|
[3866] | 1387 | REAL(wp) :: phi2phirot !< longitude in the rotated system |
---|
| 1388 | |
---|
| 1389 | REAL(wp) :: zsinpol, zcospol, zlampol, zphi, zrla, zarg1, zarg2, zrla1 |
---|
| 1390 | |
---|
| 1391 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1392 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1393 | zlampol = pollam * TO_RADIANS |
---|
| 1394 | zphi = phi * TO_RADIANS |
---|
[2696] | 1395 | |
---|
[3866] | 1396 | IF (rla > 180.0_wp) THEN |
---|
| 1397 | zrla1 = rla - 360.0_wp |
---|
| 1398 | ELSE |
---|
| 1399 | zrla1 = rla |
---|
| 1400 | ENDIF |
---|
| 1401 | zrla = zrla1 * TO_RADIANS |
---|
[2696] | 1402 | |
---|
[3866] | 1403 | zarg1 = SIN(zphi) * zsinpol |
---|
| 1404 | zarg2 = COS(zphi) * zcospol * COS(zrla - zlampol) |
---|
| 1405 | |
---|
| 1406 | phi2phirot = ASIN(zarg1 + zarg2) * TO_DEGREES |
---|
| 1407 | |
---|
| 1408 | END FUNCTION phi2phirot |
---|
[2696] | 1409 | |
---|
| 1410 | |
---|
[3557] | 1411 | !------------------------------------------------------------------------------! |
---|
| 1412 | ! Description: |
---|
| 1413 | ! ------------ |
---|
| 1414 | !> Compute the geographical longitude of a point given in rotated-pole cordinates |
---|
| 1415 | !------------------------------------------------------------------------------! |
---|
[3866] | 1416 | FUNCTION rlarot2rla(phirot, rlarot, polphi, pollam, polgam) |
---|
| 1417 | |
---|
| 1418 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1419 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1420 | REAL(wp), INTENT (IN) :: phirot !< latitude in the rotated system |
---|
| 1421 | REAL(wp), INTENT (IN) :: rlarot !< longitude in the rotated system |
---|
| 1422 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
[2696] | 1423 | |
---|
[3866] | 1424 | REAL(wp) :: rlarot2rla !< latitude in the geographical system |
---|
| 1425 | |
---|
| 1426 | REAL(wp) :: zsinpol, zcospol, zlampol, zphis, zrlas, zarg1, zarg2, zgam |
---|
| 1427 | |
---|
| 1428 | zsinpol = SIN(TO_RADIANS * polphi) |
---|
| 1429 | zcospol = COS(TO_RADIANS * polphi) |
---|
| 1430 | zlampol = TO_RADIANS * pollam |
---|
| 1431 | zphis = TO_RADIANS * phirot |
---|
[2696] | 1432 | |
---|
[3866] | 1433 | IF (rlarot > 180.0_wp) THEN |
---|
| 1434 | zrlas = rlarot - 360.0_wp |
---|
| 1435 | ELSE |
---|
| 1436 | zrlas = rlarot |
---|
| 1437 | ENDIF |
---|
| 1438 | zrlas = TO_RADIANS * zrlas |
---|
| 1439 | |
---|
| 1440 | IF (polgam /= 0.0_wp) THEN |
---|
| 1441 | zgam = TO_RADIANS * polgam |
---|
| 1442 | zarg1 = SIN(zlampol) * (zcospol * SIN(zphis) - zsinpol*COS(zphis) * & |
---|
| 1443 | (COS(zrlas) * COS(zgam) - SIN(zrlas) * SIN(zgam)) ) - & |
---|
| 1444 | COS(zlampol) * COS(zphis) * ( SIN(zrlas) * COS(zgam) + & |
---|
| 1445 | COS(zrlas) * SIN(zgam) ) |
---|
| 1446 | |
---|
| 1447 | zarg2 = COS (zlampol) * (zcospol * SIN(zphis) - zsinpol*COS(zphis) * & |
---|
| 1448 | (COS(zrlas) * COS(zgam) - SIN(zrlas) * SIN(zgam)) ) + & |
---|
| 1449 | SIN(zlampol) * COS(zphis) * ( SIN(zrlas) * COS(zgam) + & |
---|
| 1450 | COS(zrlas) * SIN(zgam) ) |
---|
| 1451 | ELSE |
---|
| 1452 | zarg1 = SIN (zlampol) * (-zsinpol * COS(zrlas) * COS(zphis) + & |
---|
| 1453 | zcospol * SIN(zphis)) - & |
---|
| 1454 | COS (zlampol) * SIN(zrlas) * COS(zphis) |
---|
| 1455 | zarg2 = COS (zlampol) * (-zsinpol * COS(zrlas) * COS(zphis) + & |
---|
| 1456 | zcospol * SIN(zphis)) + & |
---|
| 1457 | SIN (zlampol) * SIN(zrlas) * COS(zphis) |
---|
| 1458 | ENDIF |
---|
| 1459 | |
---|
| 1460 | IF (zarg2 == 0.0_wp) zarg2 = 1.0E-20_wp |
---|
| 1461 | |
---|
| 1462 | rlarot2rla = ATAN2(zarg1,zarg2) * TO_DEGREES |
---|
| 1463 | |
---|
| 1464 | END FUNCTION rlarot2rla |
---|
[2696] | 1465 | |
---|
| 1466 | |
---|
[3557] | 1467 | !------------------------------------------------------------------------------! |
---|
| 1468 | ! Description: |
---|
| 1469 | ! ------------ |
---|
| 1470 | !> Compute the rotated-pole longitude of a point given in geographical cordinates |
---|
| 1471 | !------------------------------------------------------------------------------! |
---|
[3866] | 1472 | FUNCTION rla2rlarot ( phi, rla, polphi, pollam, polgam ) |
---|
[2696] | 1473 | |
---|
[3866] | 1474 | REAL(wp), INTENT (IN) :: polphi !< latitude of the rotated north pole |
---|
| 1475 | REAL(wp), INTENT (IN) :: pollam !< longitude of the rotated north pole |
---|
| 1476 | REAL(wp), INTENT (IN) :: phi !< latitude in geographical system |
---|
| 1477 | REAL(wp), INTENT (IN) :: rla !< longitude in geographical system |
---|
| 1478 | REAL(wp), INTENT (IN) :: polgam !< angle between the north poles of the systems |
---|
| 1479 | |
---|
| 1480 | REAL(wp) :: rla2rlarot !< latitude in the the rotated system |
---|
| 1481 | |
---|
| 1482 | REAL(wp) :: zsinpol, zcospol, zlampol, zphi, zrla, zarg1, zarg2, zrla1 |
---|
| 1483 | |
---|
| 1484 | zsinpol = SIN(polphi * TO_RADIANS) |
---|
| 1485 | zcospol = COS(polphi * TO_RADIANS) |
---|
| 1486 | zlampol = pollam * TO_RADIANS |
---|
| 1487 | zphi = phi * TO_RADIANS |
---|
[2696] | 1488 | |
---|
[3866] | 1489 | IF (rla > 180.0_wp) THEN |
---|
| 1490 | zrla1 = rla - 360.0_wp |
---|
| 1491 | ELSE |
---|
| 1492 | zrla1 = rla |
---|
| 1493 | ENDIF |
---|
| 1494 | zrla = zrla1 * TO_RADIANS |
---|
| 1495 | |
---|
| 1496 | zarg1 = - SIN (zrla-zlampol) * COS(zphi) |
---|
| 1497 | zarg2 = - zsinpol * COS(zphi) * COS(zrla-zlampol) + zcospol * SIN(zphi) |
---|
| 1498 | |
---|
| 1499 | IF (zarg2 == 0.0_wp) zarg2 = 1.0E-20_wp |
---|
| 1500 | |
---|
| 1501 | rla2rlarot = ATAN2 (zarg1,zarg2) * TO_DEGREES |
---|
| 1502 | |
---|
| 1503 | IF (polgam /= 0.0_wp ) THEN |
---|
| 1504 | rla2rlarot = polgam + rla2rlarot |
---|
| 1505 | IF (rla2rlarot > 180._wp) rla2rlarot = rla2rlarot - 360.0_wp |
---|
| 1506 | ENDIF |
---|
| 1507 | |
---|
| 1508 | END FUNCTION rla2rlarot |
---|
[2696] | 1509 | |
---|
| 1510 | |
---|
[3557] | 1511 | !------------------------------------------------------------------------------! |
---|
| 1512 | ! Description: |
---|
| 1513 | ! ------------ |
---|
| 1514 | !> Rotate the given velocity vector (u,v) from the geographical to the |
---|
| 1515 | !> rotated-pole system |
---|
| 1516 | !------------------------------------------------------------------------------! |
---|
[3866] | 1517 | SUBROUTINE uv2uvrot(u, v, rlat, rlon, pollat, pollon, urot, vrot) |
---|
| 1518 | |
---|
| 1519 | REAL(wp), INTENT (IN) :: u, v !< wind components in the true geographical system |
---|
| 1520 | REAL(wp), INTENT (IN) :: rlat, rlon !< coordinates in the true geographical system |
---|
| 1521 | REAL(wp), INTENT (IN) :: pollat, pollon !< latitude and longitude of the north pole of the rotated grid |
---|
[2696] | 1522 | |
---|
[3866] | 1523 | REAL(wp), INTENT (OUT) :: urot, vrot !< wind components in the rotated grid |
---|
[2696] | 1524 | |
---|
[3866] | 1525 | REAL (wp) :: zsinpol, zcospol, zlonp, zlat, zarg1, zarg2, znorm |
---|
| 1526 | |
---|
| 1527 | zsinpol = SIN(pollat * TO_RADIANS) |
---|
| 1528 | zcospol = COS(pollat * TO_RADIANS) |
---|
| 1529 | zlonp = (pollon-rlon) * TO_RADIANS |
---|
| 1530 | zlat = rlat * TO_RADIANS |
---|
| 1531 | |
---|
| 1532 | zarg1 = zcospol * SIN(zlonp) |
---|
| 1533 | zarg2 = zsinpol * COS(zlat) - zcospol * SIN(zlat) * COS(zlonp) |
---|
| 1534 | znorm = 1.0_wp / SQRT(zarg1*zarg1 + zarg2*zarg2) |
---|
| 1535 | |
---|
| 1536 | urot = u * zarg2 * znorm - v * zarg1 * znorm |
---|
| 1537 | vrot = u * zarg1 * znorm + v * zarg2 * znorm |
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| 1538 | |
---|
| 1539 | END SUBROUTINE uv2uvrot |
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[2696] | 1540 | |
---|
| 1541 | |
---|
[3557] | 1542 | !------------------------------------------------------------------------------! |
---|
| 1543 | ! Description: |
---|
| 1544 | ! ------------ |
---|
| 1545 | !> Rotate the given velocity vector (urot, vrot) from the rotated-pole to the |
---|
| 1546 | !> geographical system |
---|
| 1547 | !------------------------------------------------------------------------------! |
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[3866] | 1548 | SUBROUTINE uvrot2uv (urot, vrot, rlat, rlon, pollat, pollon, u, v) |
---|
| 1549 | |
---|
| 1550 | REAL(wp), INTENT(IN) :: urot, vrot !< wind components in the rotated grid |
---|
| 1551 | REAL(wp), INTENT(IN) :: rlat, rlon !< latitude and longitude in the true geographical system |
---|
| 1552 | REAL(wp), INTENT(IN) :: pollat, pollon !< latitude and longitude of the north pole of the rotated grid |
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[2696] | 1553 | |
---|
[3866] | 1554 | REAL(wp), INTENT(OUT) :: u, v !< wind components in the true geographical system |
---|
[2696] | 1555 | |
---|
[3866] | 1556 | REAL(wp) :: zsinpol, zcospol, zlonp, zlat, zarg1, zarg2, znorm |
---|
| 1557 | |
---|
| 1558 | zsinpol = SIN(pollat * TO_RADIANS) |
---|
| 1559 | zcospol = COS(pollat * TO_RADIANS) |
---|
| 1560 | zlonp = (pollon-rlon) * TO_RADIANS |
---|
| 1561 | zlat = rlat * TO_RADIANS |
---|
| 1562 | |
---|
| 1563 | zarg1 = zcospol * SIN(zlonp) |
---|
| 1564 | zarg2 = zsinpol * COS(zlat) - zcospol * SIN(zlat) * COS(zlonp) |
---|
| 1565 | znorm = 1.0_wp / SQRT(zarg1*zarg1 + zarg2*zarg2) |
---|
| 1566 | |
---|
| 1567 | u = urot * zarg2 * znorm + vrot * zarg1 * znorm |
---|
| 1568 | v = - urot * zarg1 * znorm + vrot * zarg2 * znorm |
---|
| 1569 | |
---|
| 1570 | END SUBROUTINE uvrot2uv |
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[2696] | 1571 | |
---|
[3618] | 1572 | END MODULE inifor_transform |
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[3680] | 1573 | #endif |
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[2696] | 1574 | |
---|