[3448] | 1 | !> @file biometeorology_PET.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM-4U. |
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| 4 | ! |
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| 5 | ! PALM-4U 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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| 8 | ! version. |
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| 9 | ! |
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| 10 | ! PALM-4U is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 2019, Deutscher Wetterdienst (DWD) / |
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| 18 | ! German Meteorological Service (DWD) |
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| 19 | !------------------------------------------------------------------------------! |
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| 20 | ! |
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| 21 | ! Current revisions: 003 |
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| 22 | ! ----------------- |
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| 23 | ! |
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| 24 | ! |
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| 25 | ! Former revisions: 001 |
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| 26 | ! ----------------- |
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| 27 | ! $Id$ |
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| 28 | ! Initial revision 001 |
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| 29 | ! |
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| 30 | ! |
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| 31 | ! |
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| 32 | ! Authors: |
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| 33 | ! -------- |
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| 34 | ! @author Peter Höppe (original author) |
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| 35 | ! @author Dominik Froehlich <dominik.froehlich@dwd.de> (PALM modification) |
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| 36 | ! |
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| 37 | !------------------------------------------------------------------------------! |
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| 38 | MODULE biometeorology_pet_mod |
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| 39 | |
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| 40 | !-- Load required variables from existing modules |
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| 41 | USE kinds !< to set precision of INTEGER and REAL according to PALM |
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| 42 | |
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| 43 | IMPLICIT NONE |
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| 44 | |
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| 45 | PRIVATE |
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| 46 | |
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| 47 | !-- Internal constants: |
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| 48 | REAL(wp), PARAMETER :: po = 1013.25_wp !< Air pressure at sea level (hPa) |
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| 49 | REAL(wp), PARAMETER :: rob = 1.06_wp !< |
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| 50 | REAL(wp), PARAMETER :: cb = 3640._wp !< |
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| 51 | REAL(wp), PARAMETER :: food = 0._wp !< Heat gain by food (W) |
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| 52 | REAL(wp), PARAMETER :: emsk = 0.99_wp !< Longwave emission coef. of skin |
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| 53 | REAL(wp), PARAMETER :: emcl = 0.95_wp !< Longwave emission coef. of cloth |
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| 54 | REAL(wp), PARAMETER :: evap = 2.42_wp * 10._wp **6._wp !< |
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| 55 | REAL(wp), PARAMETER :: sigm = 5.67_wp * 10._wp **(-8._wp) !< Stefan-Boltzmann-Const. |
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| 56 | REAL(wp), PARAMETER :: cair = 1010._wp !< |
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| 57 | REAL(wp), PARAMETER :: cels_offs = 273.15_wp !< Kelvin Celsius Offset (K) |
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| 58 | |
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| 59 | !-- Internal variables: |
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| 60 | REAL(wp) :: h !< Internal heat (W) |
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| 61 | |
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| 62 | !-- MEMI configuration |
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| 63 | REAL(wp) :: age !< Persons age (a) |
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| 64 | REAL(wp) :: mbody !< Persons body mass (kg) |
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| 65 | REAL(wp) :: ht !< Persons height (m) |
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| 66 | REAL(wp) :: work !< Work load (W) |
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| 67 | REAL(wp) :: eta !< Work efficiency (dimensionless) |
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| 68 | REAL(wp) :: icl !< Clothing insulation index (clo) |
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| 69 | REAL(wp) :: fcl !< Surface area modification by clothing (factor) |
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| 70 | INTEGER(iwp) :: pos !< Posture: 1 = standing, 2 = sitting |
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| 71 | INTEGER(iwp) :: sex !< Sex: 1 = male, 2 = female |
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| 72 | |
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| 73 | PUBLIC calculate_pet_static |
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| 74 | |
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| 75 | !-- PALM interfaces: |
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| 76 | INTERFACE calculate_pet_static |
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| 77 | MODULE PROCEDURE calculate_pet_static |
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| 78 | END INTERFACE calculate_pet_static |
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| 79 | |
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| 80 | CONTAINS |
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| 81 | |
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| 82 | |
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| 83 | !------------------------------------------------------------------------------! |
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| 84 | ! |
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| 85 | ! Description: |
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| 86 | ! ------------ |
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| 87 | !> Physiologically Equivalent Temperature (PET), |
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| 88 | ! stationary (calculated based on MEMI), |
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| 89 | ! Subroutine based on PETBER vers. 1.5.1996 by P. Hoeppe |
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| 90 | !------------------------------------------------------------------------------! |
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| 91 | |
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| 92 | SUBROUTINE calculate_pet_static( ta, vpa, v, tmrt, p, tx ) |
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| 93 | |
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| 94 | IMPLICIT NONE |
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| 95 | |
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| 96 | !-- Input arguments: |
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| 97 | REAL(wp), INTENT( IN ) :: ta !< Air temperature (°C) |
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| 98 | REAL(wp), INTENT( IN ) :: tmrt !< Mean radiant temperature (°C) |
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| 99 | REAL(wp), INTENT( IN ) :: v !< Wind speed (m/s) |
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| 100 | REAL(wp), INTENT( IN ) :: vpa !< Vapor pressure (hPa) |
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| 101 | REAL(wp), INTENT( IN ) :: p !< Air pressure (hPa) |
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| 102 | |
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| 103 | !-- Output arguments: |
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| 104 | REAL(wp), INTENT ( OUT ) :: tx !< PET (°C) |
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| 105 | |
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| 106 | !-- Internal variables: |
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| 107 | REAL(wp) :: acl |
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| 108 | REAL(wp) :: adu |
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| 109 | REAL(wp) :: aeff |
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| 110 | REAL(wp) :: ere |
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| 111 | REAL(wp) :: erel |
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| 112 | REAL(wp) :: esw |
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| 113 | REAL(wp) :: facl |
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| 114 | REAL(wp) :: feff |
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| 115 | REAL(wp) :: rdcl |
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| 116 | REAL(wp) :: rdsk |
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| 117 | REAL(wp) :: rtv |
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| 118 | REAL(wp) :: vpts |
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| 119 | REAL(wp) :: tsk |
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| 120 | REAL(wp) :: tcl |
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| 121 | REAL(wp) :: wetsk |
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| 122 | |
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| 123 | !-- Configuration |
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| 124 | age = 35._wp |
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| 125 | mbody = 75._wp |
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| 126 | ht = 1.75_wp |
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| 127 | work = 80._wp |
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| 128 | eta = 0._wp |
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| 129 | icl = 0.9_wp |
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| 130 | fcl = 1.15_wp |
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| 131 | |
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| 132 | !-- Call subfunctions |
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| 133 | CALL in_body ( ere, erel, p, rtv, ta, vpa ) |
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| 134 | |
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| 135 | CALL heat_exch ( acl, adu, aeff, ere, erel, esw, facl, feff, & |
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| 136 | p, rdcl, rdsk, ta, tcl, tmrt, tsk, v, vpa, vpts, wetsk ) |
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| 137 | |
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| 138 | CALL pet_iteration ( acl, adu, aeff, esw, facl, feff, p, rdcl, & |
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| 139 | rdsk, rtv, ta, tcl, tsk, tx, vpts, wetsk ) |
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| 140 | |
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| 141 | |
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| 142 | END SUBROUTINE calculate_pet_static |
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| 143 | |
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| 144 | |
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| 145 | !------------------------------------------------------------------------------! |
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| 146 | ! Description: |
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| 147 | ! ------------ |
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| 148 | !> Calculate internal energy ballance |
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| 149 | !------------------------------------------------------------------------------! |
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| 150 | SUBROUTINE in_body ( ere, erel, p, rtv, ta, vpa ) |
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| 151 | |
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| 152 | !-- Input arguments: |
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| 153 | REAL(wp), INTENT( IN ) :: p !< air pressure (hPa) |
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| 154 | REAL(wp), INTENT( IN ) :: ta !< air temperature (°C) |
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| 155 | REAL(wp), INTENT( IN ) :: vpa !< vapor pressure (hPa) |
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| 156 | |
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| 157 | !-- Output arguments: |
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| 158 | REAL(wp), INTENT( OUT ) :: ere !< energy ballance (W) |
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| 159 | REAL(wp), INTENT( OUT ) :: erel !< latent energy ballance (W) |
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| 160 | REAL(wp), INTENT( OUT ) :: rtv !< |
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| 161 | |
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| 162 | !-- Internal variables: |
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| 163 | REAL(wp) :: eres |
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| 164 | REAL(wp) :: met |
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| 165 | REAL(wp) :: tex |
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| 166 | REAL(wp) :: vpex |
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| 167 | |
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| 168 | met = 3.45_wp * mbody ** ( 3._wp / 4._wp ) * (1._wp + 0.004_wp * & |
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| 169 | ( 30._wp - age) + 0.010_wp * ( ( ht * 100._wp / & |
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| 170 | ( mbody ** ( 1._wp / 3._wp ) ) ) - 43.4_wp ) ) |
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| 171 | |
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| 172 | met = work + met |
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| 173 | |
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| 174 | h = met * (1._wp - eta) |
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| 175 | |
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| 176 | !-- Sensible respiration energy |
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| 177 | tex = 0.47_wp * ta + 21.0_wp |
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| 178 | rtv = 1.44_wp * 10._wp ** (-6._wp) * met |
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| 179 | eres = cair * (ta - tex) * rtv |
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| 180 | |
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| 181 | !-- Latent respiration energy |
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| 182 | vpex = 6.11_wp * 10._wp ** ( 7.45_wp * tex / ( 235._wp + tex ) ) |
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| 183 | erel = 0.623_wp * evap / p * ( vpa - vpex ) * rtv |
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| 184 | |
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| 185 | !-- Sum of the results |
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| 186 | ere = eres + erel |
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| 187 | |
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| 188 | END SUBROUTINE in_body |
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| 189 | |
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| 190 | |
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| 191 | !------------------------------------------------------------------------------! |
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| 192 | ! Description: |
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| 193 | ! ------------ |
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| 194 | !> Calculate heat gain or loss |
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| 195 | !------------------------------------------------------------------------------! |
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| 196 | SUBROUTINE heat_exch ( acl, adu, aeff, ere, erel, esw, facl, feff, & |
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| 197 | p, rdcl, rdsk, ta, tcl, tmrt, tsk, v, vpa, vpts, wetsk ) |
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| 198 | |
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| 199 | |
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| 200 | !-- Input arguments: |
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| 201 | REAL(wp), INTENT( IN ) :: ere !< Energy ballance (W) |
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| 202 | REAL(wp), INTENT( IN ) :: erel !< Latent energy ballance (W) |
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| 203 | REAL(wp), INTENT( IN ) :: p !< Air pressure (hPa) |
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| 204 | REAL(wp), INTENT( IN ) :: ta !< Air temperature (°C) |
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| 205 | REAL(wp), INTENT( IN ) :: tmrt !< Mean radiant temperature (°C) |
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| 206 | REAL(wp), INTENT( IN ) :: v !< Wind speed (m/s) |
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| 207 | REAL(wp), INTENT( IN ) :: vpa !< Vapor pressure (hPa) |
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| 208 | |
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| 209 | !-- Output arguments: |
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| 210 | REAL(wp), INTENT( OUT ) :: acl !< Clothing surface area (m²) |
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| 211 | REAL(wp), INTENT( OUT ) :: adu !< Du-Bois area (m²) |
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| 212 | REAL(wp), INTENT( OUT ) :: aeff !< Effective surface area (m²) |
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| 213 | REAL(wp), INTENT( OUT ) :: esw !< Energy-loss through sweat evap. (W) |
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| 214 | REAL(wp), INTENT( OUT ) :: facl !< Surface area extension through clothing (factor) |
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| 215 | REAL(wp), INTENT( OUT ) :: feff !< Surface modification by posture (factor) |
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| 216 | REAL(wp), INTENT( OUT ) :: rdcl !< Diffusion resistence of clothing (factor) |
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| 217 | REAL(wp), INTENT( OUT ) :: rdsk !< Diffusion resistence of skin (factor) |
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| 218 | REAL(wp), INTENT( OUT ) :: tcl !< Clothing temperature (°C) |
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| 219 | REAL(wp), INTENT( OUT ) :: tsk !< Skin temperature (°C) |
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| 220 | REAL(wp), INTENT( OUT ) :: vpts !< Sat. vapor pressure over skin (hPa) |
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| 221 | REAL(wp), INTENT( OUT ) :: wetsk !< Fraction of wet skin (dimensionless) |
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| 222 | |
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| 223 | !-- Internal variables |
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| 224 | REAL(wp) :: c(0:10) |
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| 225 | REAL(wp) :: cbare |
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| 226 | REAL(wp) :: cclo |
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| 227 | REAL(wp) :: csum |
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| 228 | REAL(wp) :: di |
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| 229 | REAL(wp) :: ed |
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| 230 | REAL(wp) :: enbal |
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| 231 | REAL(wp) :: enbal2 |
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| 232 | REAL(wp) :: eswdif |
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| 233 | REAL(wp) :: eswphy |
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| 234 | REAL(wp) :: eswpot |
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| 235 | REAL(wp) :: fec |
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| 236 | REAL(wp) :: hc |
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| 237 | REAL(wp) :: he |
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| 238 | REAL(wp) :: htcl |
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| 239 | REAL(wp) :: r1 |
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| 240 | REAL(wp) :: r2 |
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| 241 | REAL(wp) :: rbare |
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| 242 | REAL(wp) :: rcl |
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| 243 | REAL(wp) :: rclo |
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| 244 | REAL(wp) :: rclo2 |
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| 245 | REAL(wp) :: rsum |
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| 246 | REAL(wp) :: sw |
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| 247 | REAL(wp) :: swf |
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| 248 | REAL(wp) :: swm |
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| 249 | REAL(wp) :: tbody |
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| 250 | REAL(wp) :: tcore(1:7) |
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| 251 | REAL(wp) :: vb |
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| 252 | REAL(wp) :: vb1 |
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| 253 | REAL(wp) :: vb2 |
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| 254 | REAL(wp) :: wd |
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| 255 | REAL(wp) :: wr |
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| 256 | REAL(wp) :: ws |
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| 257 | REAL(wp) :: wsum |
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| 258 | REAL(wp) :: xx |
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| 259 | REAL(wp) :: y |
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| 260 | INTEGER(iwp) :: count1 |
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| 261 | INTEGER(iwp) :: count3 |
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| 262 | INTEGER(iwp) :: j |
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| 263 | INTEGER(iwp) :: i |
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| 264 | LOGICAL :: skipIncreaseCount |
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| 265 | |
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| 266 | wetsk = 0._wp |
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| 267 | adu = 0.203_wp * mbody ** 0.425_wp * ht ** 0.725_wp |
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| 268 | |
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| 269 | hc = 2.67_wp + ( 6.5_wp * v ** 0.67_wp) |
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| 270 | hc = hc * (p /po) ** 0.55_wp |
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| 271 | feff = 0.725_wp !< Posture: 0.725 for stading |
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| 272 | facl = (- 2.36_wp + 173.51_wp * icl - 100.76_wp * icl * icl + 19.28_wp & |
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| 273 | * (icl ** 3._wp)) / 100._wp |
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| 274 | |
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| 275 | IF ( facl > 1._wp ) facl = 1._wp |
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| 276 | rcl = ( icl / 6.45_wp ) / facl |
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| 277 | IF ( icl >= 2._wp ) y = 1._wp |
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| 278 | |
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| 279 | IF ( ( icl > 0.6_wp ) .AND. ( icl < 2._wp ) ) y = ( ht - 0.2_wp ) / ht |
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| 280 | IF ( ( icl <= 0.6_wp ) .AND. ( icl > 0.3_wp ) ) y = 0.5_wp |
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| 281 | IF ( ( icl <= 0.3_wp ) .AND. ( icl > 0._wp ) ) y = 0.1_wp |
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| 282 | |
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| 283 | r2 = adu * (fcl - 1._wp + facl) / (2._wp * 3.14_wp * ht * y) |
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| 284 | r1 = facl * adu / (2._wp * 3.14_wp * ht * y) |
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| 285 | |
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| 286 | di = r2 - r1 |
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| 287 | |
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| 288 | !-- Skin temperatur |
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| 289 | DO j = 1, 7 |
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| 290 | |
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| 291 | tsk = 34._wp |
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| 292 | count1 = 0_iwp |
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| 293 | tcl = ( ta + tmrt + tsk ) / 3._wp |
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| 294 | count3 = 1_iwp |
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| 295 | enbal2 = 0._wp |
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| 296 | |
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| 297 | DO i = 1, 100 ! allow for 100 iterations max |
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| 298 | acl = adu * facl + adu * ( fcl - 1._wp ) |
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| 299 | rclo2 = emcl * sigm * ( ( tcl + cels_offs )**4._wp - & |
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| 300 | ( tmrt + cels_offs )** 4._wp ) * feff |
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| 301 | htcl = 6.28_wp * ht * y * di / ( rcl * LOG( r2 / r1 ) * acl ) |
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| 302 | tsk = 1._wp / htcl * ( hc * ( tcl - ta ) + rclo2 ) + tcl |
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| 303 | |
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| 304 | !-- Radiation saldo |
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| 305 | aeff = adu * feff |
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| 306 | rbare = aeff * ( 1._wp - facl ) * emsk * sigm * & |
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| 307 | ( ( tmrt + cels_offs )** 4._wp - ( tsk + cels_offs )** 4._wp ) |
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| 308 | rclo = feff * acl * emcl * sigm * & |
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| 309 | ( ( tmrt + cels_offs )** 4._wp - ( tcl + cels_offs )** 4._wp ) |
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| 310 | rsum = rbare + rclo |
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| 311 | |
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| 312 | !-- Convection |
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| 313 | cbare = hc * ( ta - tsk ) * adu * ( 1._wp - facl ) |
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| 314 | cclo = hc * ( ta - tcl ) * acl |
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| 315 | csum = cbare + cclo |
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| 316 | |
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| 317 | !-- Core temperature |
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| 318 | c(0) = h + ere |
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| 319 | c(1) = adu * rob * cb |
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| 320 | c(2) = 18._wp - 0.5_wp * tsk |
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| 321 | c(3) = 5.28_wp * adu * c(2) |
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| 322 | c(4) = 0.0208_wp * c(1) |
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| 323 | c(5) = 0.76075_wp * c(1) |
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| 324 | c(6) = c(3) - c(5) - tsk * c(4) |
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| 325 | c(7) = - c(0) * c(2) - tsk * c(3) + tsk * c(5) |
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| 326 | c(8) = c(6) * c(6) - 4._wp * c(4) * c(7) |
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| 327 | c(9) = 5.28_wp * adu - c(5) - c(4) * tsk |
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| 328 | c(10) = c(9) * c(9) - 4._wp * c(4) * & |
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| 329 | ( c(5) * tsk - c(0) - 5.28_wp * adu * tsk ) |
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| 330 | |
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| 331 | IF ( tsk == 36._wp ) tsk = 36.01_wp |
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| 332 | tcore(7) = c(0) / ( 5.28_wp * adu + c(1) * 6.3_wp / 3600._wp ) + tsk |
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| 333 | tcore(3) = c(0) / ( 5.28_wp * adu + ( c(1) * 6.3_wp / 3600._wp ) / & |
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| 334 | ( 1._wp + 0.5_wp * ( 34._wp - tsk ) ) ) + tsk |
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| 335 | IF ( c(10) >= 0._wp ) THEN |
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| 336 | tcore(6) = ( - c(9) - c(10)**0.5_wp ) / ( 2._wp * c(4) ) |
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| 337 | tcore(1) = ( - c(9) + c(10)**0.5_wp ) / ( 2._wp * c(4) ) |
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| 338 | END IF |
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| 339 | |
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| 340 | IF ( c(8) >= 0._wp ) THEN |
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| 341 | tcore(2) = ( - c(6) + ABS( c(8) ) ** 0.5_wp ) / ( 2._wp * c(4) ) |
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| 342 | tcore(5) = ( - c(6) - ABS( c(8) ) ** 0.5_wp ) / ( 2._wp * c(4) ) |
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| 343 | tcore(4) = c(0) / ( 5.28_wp * adu + c(1) * 1._wp / 40._wp ) + tsk |
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| 344 | END IF |
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| 345 | |
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| 346 | !-- Transpiration |
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| 347 | tbody = 0.1_wp * tsk + 0.9_wp * tcore(j) |
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| 348 | swm = 304.94_wp * ( tbody - 36.6_wp ) * adu / 3600000._wp |
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| 349 | vpts = 6.11_wp * 10._wp**( 7.45_wp * tsk / ( 235._wp + tsk ) ) |
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| 350 | |
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| 351 | IF ( tbody <= 36.6_wp ) swm = 0._wp |
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| 352 | |
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| 353 | sw = swm |
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| 354 | eswphy = - sw * evap |
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| 355 | he = 0.633_wp * hc / ( p * cair ) |
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| 356 | fec = 1._wp / ( 1._wp + 0.92_wp * hc * rcl ) |
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| 357 | eswpot = he * ( vpa - vpts ) * adu * evap * fec |
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| 358 | wetsk = eswphy / eswpot |
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| 359 | |
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| 360 | IF ( wetsk > 1._wp ) wetsk = 1._wp |
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| 361 | |
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| 362 | eswdif = eswphy - eswpot |
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| 363 | |
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| 364 | IF ( eswdif <= 0._wp ) esw = eswpot |
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| 365 | IF ( eswdif > 0._wp ) esw = eswphy |
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| 366 | IF ( esw > 0._wp ) esw = 0._wp |
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| 367 | |
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| 368 | !-- Diffusion |
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| 369 | rdsk = 0.79_wp * 10._wp ** 7._wp |
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| 370 | rdcl = 0._wp |
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| 371 | ed = evap / ( rdsk + rdcl ) * adu * ( 1._wp - wetsk ) * ( vpa - & |
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| 372 | vpts ) |
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| 373 | |
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| 374 | !-- Max vb |
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| 375 | vb1 = 34._wp - tsk |
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| 376 | vb2 = tcore(j) - 36.6_wp |
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| 377 | |
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| 378 | IF ( vb2 < 0._wp ) vb2 = 0._wp |
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| 379 | IF ( vb1 < 0._wp ) vb1 = 0._wp |
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| 380 | vb = ( 6.3_wp + 75._wp * vb2 ) / ( 1._wp + 0.5_wp * vb1 ) |
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| 381 | |
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| 382 | !-- Energy ballence |
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| 383 | enbal = h + ed + ere + esw + csum + rsum + food |
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| 384 | |
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| 385 | !-- Clothing temperature |
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| 386 | xx = 0.001_wp |
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| 387 | IF ( count1 == 0_iwp ) xx = 1._wp |
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| 388 | IF ( count1 == 1_iwp ) xx = 0.1_wp |
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| 389 | IF ( count1 == 2_iwp ) xx = 0.01_wp |
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| 390 | IF ( count1 == 3_iwp ) xx = 0.001_wp |
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| 391 | |
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| 392 | IF ( enbal > 0._wp ) tcl = tcl + xx |
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| 393 | IF ( enbal < 0._wp ) tcl = tcl - xx |
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| 394 | |
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| 395 | skipIncreaseCount = .FALSE. |
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| 396 | IF ( ( (enbal <= 0._wp ) .AND. (enbal2 > 0._wp ) ) .OR. & |
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| 397 | ( ( enbal >= 0._wp ) .AND. ( enbal2 < 0._wp ) ) ) THEN |
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| 398 | skipIncreaseCount = .TRUE. |
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| 399 | ELSE |
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| 400 | enbal2 = enbal |
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| 401 | count3 = count3 + 1_iwp |
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| 402 | END IF |
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| 403 | |
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| 404 | IF ( ( count3 > 200_iwp ) .OR. skipIncreaseCount ) THEN |
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| 405 | IF ( count1 < 3_iwp ) THEN |
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| 406 | count1 = count1 + 1_iwp |
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| 407 | enbal2 = 0._wp |
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| 408 | ELSE |
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| 409 | EXIT |
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| 410 | END IF |
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| 411 | END IF |
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| 412 | END DO |
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| 413 | |
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| 414 | IF ( count1 == 3_iwp ) THEN |
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| 415 | SELECT CASE ( j ) |
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| 416 | CASE ( 2, 5) |
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| 417 | IF ( .NOT. ( ( tcore(j) >= 36.6_wp ) .AND. & |
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| 418 | ( tsk <= 34.050_wp ) ) ) CYCLE |
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| 419 | CASE ( 6, 1 ) |
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| 420 | IF ( c(10) < 0._wp ) CYCLE |
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| 421 | IF ( .NOT. ( ( tcore(j) >= 36.6_wp ) .AND. & |
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| 422 | ( tsk > 33.850_wp ) ) ) CYCLE |
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| 423 | CASE ( 3 ) |
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| 424 | IF ( .NOT. ( ( tcore(j) < 36.6_wp ) .AND. & |
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| 425 | ( tsk <= 34.000_wp ) ) ) CYCLE |
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| 426 | CASE ( 7 ) |
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| 427 | IF ( .NOT. ( ( tcore(j) < 36.6_wp ) .AND. & |
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| 428 | ( tsk > 34.000_wp ) ) ) CYCLE |
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| 429 | CASE default |
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| 430 | END SELECT |
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| 431 | END IF |
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| 432 | |
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| 433 | IF ( ( j /= 4_iwp ) .AND. ( vb >= 91._wp ) ) CYCLE |
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| 434 | IF ( ( j == 4_iwp ) .AND. ( vb < 89._wp ) ) CYCLE |
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| 435 | IF ( vb > 90._wp ) vb = 90._wp |
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| 436 | |
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| 437 | !-- Loses by water |
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| 438 | ws = sw * 3600._wp * 1000._wp |
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| 439 | IF ( ws > 2000._wp ) ws = 2000._wp |
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| 440 | wd = ed / evap * 3600._wp * ( -1000._wp ) |
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| 441 | wr = erel / evap * 3600._wp * ( -1000._wp ) |
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| 442 | |
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| 443 | wsum = ws + wr + wd |
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| 444 | |
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| 445 | RETURN |
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| 446 | END DO |
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| 447 | END SUBROUTINE heat_exch |
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| 448 | |
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| 449 | !------------------------------------------------------------------------------! |
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| 450 | ! Description: |
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| 451 | ! ------------ |
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| 452 | !> Calculate PET |
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| 453 | !------------------------------------------------------------------------------! |
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| 454 | SUBROUTINE pet_iteration ( acl, adu, aeff, esw, facl, feff, p, rdcl, & |
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| 455 | rdsk, rtv, ta, tcl, tsk, tx, vpts, wetsk ) |
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| 456 | |
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| 457 | !-- Input arguments: |
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| 458 | REAL(wp), INTENT( IN ) :: acl !< clothing surface area (m²) |
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| 459 | REAL(wp), INTENT( IN ) :: adu !< Du-Bois area (m²) |
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| 460 | REAL(wp), INTENT( IN ) :: esw !< energy-loss through sweat evap. (W) |
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| 461 | REAL(wp), INTENT( IN ) :: facl !< surface area extension through clothing (factor) |
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| 462 | REAL(wp), INTENT( IN ) :: feff !< surface modification by posture (factor) |
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| 463 | REAL(wp), INTENT( IN ) :: p !< air pressure (hPa) |
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| 464 | REAL(wp), INTENT( IN ) :: rdcl !< diffusion resistence of clothing (factor) |
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| 465 | REAL(wp), INTENT( IN ) :: rdsk !< diffusion resistence of skin (factor) |
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| 466 | REAL(wp), INTENT( IN ) :: rtv !< |
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| 467 | REAL(wp), INTENT( IN ) :: ta !< air temperature (°C) |
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| 468 | REAL(wp), INTENT( IN ) :: tcl !< clothing temperature (°C) |
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| 469 | REAL(wp), INTENT( IN ) :: tsk !< skin temperature (°C) |
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| 470 | REAL(wp), INTENT( IN ) :: vpts !< sat. vapor pressure over skin (hPa) |
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| 471 | REAL(wp), INTENT( IN ) :: wetsk !< fraction of wet skin (dimensionless) |
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| 472 | |
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| 473 | !-- Output arguments: |
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| 474 | REAL(wp), INTENT( OUT ) :: aeff !< effective surface area (m²) |
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| 475 | REAL(wp), INTENT( OUT ) :: tx !< PET (°C) |
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| 476 | |
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| 477 | !-- Internal variables |
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| 478 | REAL ( wp ) :: cbare |
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| 479 | REAL ( wp ) :: cclo |
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| 480 | REAL ( wp ) :: csum |
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| 481 | REAL ( wp ) :: ed |
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| 482 | REAL ( wp ) :: enbal |
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| 483 | REAL ( wp ) :: enbal2 |
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| 484 | REAL ( wp ) :: ere |
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| 485 | REAL ( wp ) :: erel |
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| 486 | REAL ( wp ) :: eres |
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| 487 | REAL ( wp ) :: hc |
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| 488 | REAL ( wp ) :: rbare |
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| 489 | REAL ( wp ) :: rclo |
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| 490 | REAL ( wp ) :: rsum |
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| 491 | REAL ( wp ) :: tex |
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| 492 | REAL ( wp ) :: vpex |
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| 493 | REAL ( wp ) :: xx |
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| 494 | |
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| 495 | INTEGER ( iwp ) :: count1 |
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| 496 | INTEGER ( iwp ) :: i |
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| 497 | |
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| 498 | tx = ta |
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| 499 | enbal2 = 0._wp |
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| 500 | |
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| 501 | DO count1 = 0, 3 |
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| 502 | DO i = 1, 125 ! 500 / 4 |
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| 503 | hc = 2.67_wp + 6.5_wp * 0.1_wp ** 0.67_wp |
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| 504 | hc = hc * ( p / po ) ** 0.55_wp |
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| 505 | |
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| 506 | !-- Radiation |
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| 507 | aeff = adu * feff |
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| 508 | rbare = aeff * ( 1._wp - facl ) * emsk * sigm * & |
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| 509 | ( ( tx + cels_offs ) ** 4._wp - ( tsk + cels_offs ) ** 4._wp ) |
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| 510 | rclo = feff * acl * emcl * sigm * & |
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| 511 | ( ( tx + cels_offs ) ** 4._wp - ( tcl + cels_offs ) ** 4._wp ) |
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| 512 | rsum = rbare + rclo |
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| 513 | |
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| 514 | !-- Covection |
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| 515 | cbare = hc * ( tx - tsk ) * adu * ( 1._wp - facl ) |
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| 516 | cclo = hc * ( tx - tcl ) * acl |
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| 517 | csum = cbare + cclo |
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| 518 | |
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| 519 | !-- Diffusion |
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| 520 | ed = evap / ( rdsk + rdcl ) * adu * ( 1._wp - wetsk ) * ( 12._wp - & |
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| 521 | vpts ) |
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| 522 | |
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| 523 | !-- Respiration |
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| 524 | tex = 0.47_wp * tx + 21._wp |
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| 525 | eres = cair * ( tx - tex ) * rtv |
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| 526 | vpex = 6.11_wp * 10._wp ** ( 7.45_wp * tex / ( 235._wp + tex ) ) |
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| 527 | erel = 0.623_wp * evap / p * ( 12._wp - vpex ) * rtv |
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| 528 | ere = eres + erel |
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| 529 | |
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| 530 | !-- Energy ballance |
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| 531 | enbal = h + ed + ere + esw + csum + rsum |
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| 532 | |
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| 533 | !-- Iteration concerning ta |
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| 534 | IF ( count1 == 0_iwp ) xx = 1._wp |
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| 535 | IF ( count1 == 1_iwp ) xx = 0.1_wp |
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| 536 | IF ( count1 == 2_iwp ) xx = 0.01_wp |
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| 537 | IF ( count1 == 3_iwp ) xx = 0.001_wp |
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| 538 | IF ( enbal > 0._wp ) tx = tx - xx |
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| 539 | IF ( enbal < 0._wp ) tx = tx + xx |
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| 540 | IF ( ( enbal <= 0._wp ) .AND. ( enbal2 > 0._wp ) ) EXIT |
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| 541 | IF ( ( enbal >= 0._wp ) .AND. ( enbal2 < 0._wp ) ) EXIT |
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| 542 | |
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| 543 | enbal2 = enbal |
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| 544 | END DO |
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| 545 | END DO |
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| 546 | END SUBROUTINE pet_iteration |
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| 547 | |
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| 548 | END MODULE biometeorology_pet_mod |
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