| 1 | !> @file biometeorology_ipt_mod.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 1997-2019, Deutscher Wetterdienst (DWD) / |
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| 18 | ! German Meteorological Service (DWD) and |
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| 19 | ! Leibniz Universitaet Hannover |
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| 20 | !--------------------------------------------------------------------------------! |
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| 21 | ! |
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| 22 | ! Current revisions: 001 |
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| 23 | ! ----------------- |
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| 24 | ! |
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| 25 | ! |
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| 26 | ! Former revisions: 001 |
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| 27 | ! ----------------- |
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| 28 | ! $Id$ |
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| 29 | ! Initial revision 001 |
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| 30 | ! |
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| 31 | ! |
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| 32 | ! |
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| 33 | ! Authors: |
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| 34 | ! -------- |
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| 35 | ! @author Dominik Froehlich <dominik.froehlich@mailbox.org> |
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| 36 | ! |
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| 37 | ! |
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| 38 | ! Description: |
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| 39 | ! ------------ |
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| 40 | !> Module for the calculation of the dynamic thermal index iPT |
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| 41 | !> |
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| 42 | !> @todo |
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| 43 | !> |
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| 44 | !> @note nothing now |
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| 45 | !> |
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| 46 | !> @bug no known bugs by now |
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| 47 | !------------------------------------------------------------------------------! |
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| 48 | MODULE biometeorology_ipt_mod |
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| 49 | ! |
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| 50 | !-- Load required variables from existing modules |
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| 51 | USE kinds !< to set precision of INTEGER and REAL arrays according to PALM |
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| 52 | |
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| 53 | USE biometeorology_pt_mod, & |
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| 54 | ONLY: saturation_vapor_pressure, deltapmv, dpmv_adj, dpmv_cold, & |
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| 55 | calc_sultr, pt_regression, ireq_neutral, iso_ridder |
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| 56 | |
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| 57 | IMPLICIT NONE |
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| 58 | |
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| 59 | PRIVATE !-- No private interfaces --! |
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| 60 | |
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| 61 | PUBLIC ipt_cycle, ipt_init |
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| 62 | |
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| 63 | !-- PALM interfaces: |
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| 64 | INTERFACE ipt_cycle |
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| 65 | MODULE PROCEDURE ipt_cycle |
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| 66 | END INTERFACE ipt_cycle |
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| 67 | |
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| 68 | INTERFACE ipt_init |
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| 69 | MODULE PROCEDURE ipt_init |
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| 70 | END INTERFACE ipt_init |
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| 71 | |
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| 72 | |
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| 73 | CONTAINS |
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| 74 | |
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| 75 | |
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| 76 | |
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| 77 | !------------------------------------------------------------------------------! |
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| 78 | ! Description: |
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| 79 | ! ------------ |
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| 80 | !> The SUBROUTINE surface area calculates the surface area of the individual |
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| 81 | !> according to its height (m), weight (kg), and age (y) |
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| 82 | !------------------------------------------------------------------------------! |
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| 83 | SUBROUTINE surface_area ( height_cm, weight, age, surf ) |
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| 84 | |
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| 85 | IMPLICIT NONE |
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| 86 | |
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| 87 | REAL(wp) , INTENT(in) :: weight |
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| 88 | REAL(wp) , INTENT(in) :: height_cm |
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| 89 | INTEGER(iwp), INTENT(in) :: age |
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| 90 | REAL(wp) , INTENT(out) :: surf |
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| 91 | REAL(wp) :: height |
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| 92 | |
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| 93 | height = height_cm * 100._wp |
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| 94 | |
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| 95 | !-- According to Gehan-George, for children |
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| 96 | IF ( age < 19_iwp ) THEN |
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| 97 | IF ( age < 5_iwp ) THEN |
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| 98 | surf = 0.02667_wp * height**0.42246_wp * weight**0.51456_wp |
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| 99 | RETURN |
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| 100 | END IF |
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| 101 | surf = 0.03050_wp * height**0.35129_wp * weight**0.54375_wp |
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| 102 | RETURN |
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| 103 | END IF |
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| 104 | |
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| 105 | !-- DuBois D, DuBois EF: A formula to estimate the approximate surface area if |
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| 106 | ! height and weight be known. In: Arch. Int. Med.. 17, 1916, S. 863?871. |
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| 107 | surf = 0.007184_wp * height**0.725_wp * weight**0.425_wp |
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| 108 | RETURN |
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| 109 | |
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| 110 | END SUBROUTINE surface_area |
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| 111 | |
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| 112 | !------------------------------------------------------------------------------! |
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| 113 | ! Description: |
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| 114 | ! ------------ |
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| 115 | !> The SUBROUTINE persdat calculates |
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| 116 | !> - the total internal energy production = metabolic + workload, |
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| 117 | !> - the total internal energy production for a standardized surface (actlev) |
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| 118 | !> - the DuBois - area (a_surf [m2]) |
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| 119 | !> from |
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| 120 | !> - the persons age (years), |
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| 121 | !> - weight (kg), |
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| 122 | !> - height (m), |
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| 123 | !> - sex (1 = male, 2 = female), |
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| 124 | !> - work load (W) |
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| 125 | !> for a sample human. |
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| 126 | !------------------------------------------------------------------------------! |
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| 127 | SUBROUTINE persdat ( age, weight, height, sex, work, a_surf, actlev ) |
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| 128 | ! |
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| 129 | IMPLICIT NONE |
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| 130 | |
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| 131 | REAL(wp), INTENT(in) :: age |
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| 132 | REAL(wp), INTENT(in) :: weight |
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| 133 | REAL(wp), INTENT(in) :: height |
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| 134 | REAL(wp), INTENT(in) :: work |
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| 135 | INTEGER(iwp), INTENT(in) :: sex |
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| 136 | REAL(wp), INTENT(out) :: actlev |
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| 137 | REAL(wp) :: a_surf |
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| 138 | REAL(wp) :: energieumsatz |
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| 139 | REAL(wp) :: s |
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| 140 | REAL(wp) :: factor |
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| 141 | REAL(wp) :: heightundumsatz |
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| 142 | |
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| 143 | CALL surface_area ( height, weight, INT( age ), a_surf ) |
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| 144 | s = height * 100._wp / ( weight ** ( 1._wp / 3._wp ) ) |
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| 145 | factor = 1._wp + .004_wp * ( 30._wp - age ) |
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| 146 | heightundumsatz = 0. |
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| 147 | IF ( sex == 1_iwp ) THEN |
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| 148 | heightundumsatz = 3.45_wp * weight ** ( 3._wp / 4._wp ) * ( factor + & |
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| 149 | .01_wp * ( s - 43.4_wp ) ) |
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| 150 | ELSE IF ( sex == 2_iwp ) THEN |
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| 151 | heightundumsatz = 3.19_wp * weight ** ( 3._wp / 4._wp ) * ( factor + & |
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| 152 | .018_wp * ( s - 42.1_wp ) ) |
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| 153 | END IF |
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| 154 | |
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| 155 | energieumsatz = work + heightundumsatz |
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| 156 | actlev = energieumsatz / a_surf |
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| 157 | |
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| 158 | END SUBROUTINE persdat |
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| 159 | |
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| 160 | |
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| 161 | !------------------------------------------------------------------------------! |
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| 162 | ! Description: |
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| 163 | ! ------------ |
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| 164 | !> SUBROUTINE ipt_init |
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| 165 | !> initializes the instationary perceived temperature |
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| 166 | !------------------------------------------------------------------------------! |
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| 167 | |
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| 168 | SUBROUTINE ipt_init (age, weight, height, sex, work, actlev, clo, & |
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| 169 | ta, vp, vau1m, tmrt, pb, dt, storage, t_clothing, & |
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| 170 | ipt ) |
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| 171 | |
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| 172 | IMPLICIT NONE |
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| 173 | |
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| 174 | !-- Input parameters |
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| 175 | REAL(wp), INTENT(in) :: age !< Persons age (years) |
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| 176 | REAL(wp), INTENT(in) :: weight !< Persons weight (kg) |
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| 177 | REAL(wp), INTENT(in) :: height !< Persons height (m) |
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| 178 | REAL(wp), INTENT(in) :: work !< Current workload (W) |
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| 179 | REAL(wp), INTENT(in) :: ta !< Air Temperature (°C) |
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| 180 | REAL(wp), INTENT(in) :: vp !< Vapor pressure (hPa) |
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| 181 | REAL(wp), INTENT(in) :: vau1m !< Wind speed in approx. 1.1m (m/s) |
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| 182 | REAL(wp), INTENT(in) :: tmrt !< Mean radiant temperature (°C) |
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| 183 | REAL(wp), INTENT(in) :: pb !< Air pressure (hPa) |
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| 184 | REAL(wp), INTENT(in) :: dt !< Timestep (s) |
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| 185 | INTEGER(iwp), INTENT(in) :: sex !< Persons sex (1 = male, 2 = female) |
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| 186 | |
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| 187 | !-- Output parameters |
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| 188 | REAL(wp), INTENT(out) :: actlev |
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| 189 | REAL(wp), INTENT(out) :: clo |
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| 190 | REAL(wp), INTENT(out) :: storage |
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| 191 | REAL(wp), INTENT(out) :: t_clothing |
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| 192 | REAL(wp), INTENT(out) :: ipt |
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| 193 | |
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| 194 | !-- Internal variables |
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| 195 | REAL(wp), PARAMETER :: eps = 0.0005_wp |
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| 196 | REAL(wp), PARAMETER :: eta = 0._wp |
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| 197 | REAL(wp) :: uclo |
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| 198 | REAL(wp) :: oclo |
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| 199 | REAL(wp) :: d_pmv |
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| 200 | REAL(wp) :: svp_tt |
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| 201 | REAL(wp) :: sult_lim |
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| 202 | REAL(wp) :: dgtcm |
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| 203 | REAL(wp) :: dgtcstd |
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| 204 | REAL(wp) :: clon |
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| 205 | REAL(wp) :: ireq_minimal |
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| 206 | REAL(wp) :: clo_fanger |
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| 207 | REAL(wp) :: pmv_o |
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| 208 | REAL(wp) :: pmv_u |
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| 209 | REAL(wp) :: pmva |
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| 210 | REAL(wp) :: ptc |
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| 211 | REAL(wp) :: d_std |
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| 212 | REAL(wp) :: pmvs |
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| 213 | REAL(wp) :: top |
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| 214 | REAL(wp) :: a_surf |
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| 215 | REAL(wp) :: acti |
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| 216 | INTEGER(iwp) :: nzaehl |
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| 217 | INTEGER(iwp) :: nerr_kalt |
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| 218 | INTEGER(iwp) :: nerr |
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| 219 | |
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| 220 | LOGICAL :: sultrieness |
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| 221 | |
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| 222 | storage = 0._wp |
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| 223 | CALL persdat ( age, weight, height, sex, work, a_surf, actlev ) |
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| 224 | |
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| 225 | !-- Initialise |
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| 226 | t_clothing = -999.0_wp |
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| 227 | ipt = -999.0_wp |
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| 228 | nerr = 0_wp |
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| 229 | nzaehl = 0_wp |
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| 230 | sultrieness = .FALSE. |
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| 231 | !-- Tresholds: clothing insulation (account for model inaccuracies) |
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| 232 | !-- Summer clothing |
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| 233 | uclo = 0.44453_wp |
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| 234 | !-- Winter clothing |
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| 235 | oclo = 1.76267_wp |
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| 236 | |
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| 237 | !-- Decision: firstly calculate for winter or summer clothing |
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| 238 | IF ( ta <= 10._wp ) THEN |
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| 239 | |
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| 240 | !-- First guess: winter clothing insulation: cold stress |
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| 241 | clo = oclo |
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| 242 | t_clothing = -999.0_wp ! force initial run |
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| 243 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 244 | t_clothing, storage, dt, pmva ) |
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| 245 | pmv_o = pmva |
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| 246 | |
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| 247 | IF ( pmva > 0._wp ) THEN |
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| 248 | |
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| 249 | !-- Case summer clothing insulation: heat load ? |
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| 250 | clo = uclo |
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| 251 | t_clothing = -999.0_wp ! force initial run |
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| 252 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 253 | t_clothing, storage, dt, pmva ) |
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| 254 | pmv_u = pmva |
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| 255 | IF ( pmva <= 0._wp ) THEN |
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| 256 | !-- Case: comfort achievable by varying clothing insulation |
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| 257 | ! between winter and summer set values |
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| 258 | CALL iso_ridder ( ta, tmrt, vp, vau1m, pb, actlev, eta , uclo, & |
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| 259 | pmv_u, oclo, pmv_o, eps, pmva, top, nzaehl, clo ) |
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| 260 | IF ( nzaehl < 0_iwp ) THEN |
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| 261 | nerr = -1_iwp |
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| 262 | RETURN |
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| 263 | ENDIF |
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| 264 | ELSE IF ( pmva > 0.06_wp ) THEN |
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| 265 | clo = 0.5_wp |
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| 266 | t_clothing = -999.0_wp |
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| 267 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 268 | t_clothing, storage, dt, pmva ) |
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| 269 | ENDIF |
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| 270 | ELSE IF ( pmva < -0.11_wp ) THEN |
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| 271 | clo = 1.75_wp |
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| 272 | t_clothing = -999.0_wp |
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| 273 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 274 | t_clothing, storage, dt, pmva ) |
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| 275 | ENDIF |
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| 276 | |
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| 277 | ELSE |
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| 278 | |
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| 279 | !-- First guess: summer clothing insulation: heat load |
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| 280 | clo = uclo |
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| 281 | t_clothing = -999.0_wp |
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| 282 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 283 | t_clothing, storage, dt, pmva ) |
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| 284 | pmv_u = pmva |
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| 285 | |
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| 286 | IF ( pmva < 0._wp ) THEN |
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| 287 | |
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| 288 | !-- Case winter clothing insulation: cold stress ? |
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| 289 | clo = oclo |
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| 290 | t_clothing = -999.0_wp |
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| 291 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 292 | t_clothing, storage, dt, pmva ) |
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| 293 | pmv_o = pmva |
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| 294 | |
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| 295 | IF ( pmva >= 0._wp ) THEN |
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| 296 | |
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| 297 | !-- Case: comfort achievable by varying clothing insulation |
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| 298 | ! between winter and summer set values |
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| 299 | CALL iso_ridder ( ta, tmrt, vp, vau1m, pb, actlev, eta, uclo, & |
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| 300 | pmv_u, oclo, pmv_o, eps, pmva, top, nzaehl, clo ) |
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| 301 | IF ( nzaehl < 0_wp ) THEN |
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| 302 | nerr = -1_iwp |
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| 303 | RETURN |
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| 304 | ENDIF |
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| 305 | ELSE IF ( pmva < -0.11_wp ) THEN |
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| 306 | clo = 1.75_wp |
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| 307 | t_clothing = -999.0_wp |
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| 308 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 309 | t_clothing, storage, dt, pmva ) |
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| 310 | ENDIF |
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| 311 | ELSE IF ( pmva > 0.06_wp ) THEN |
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| 312 | clo = 0.5_wp |
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| 313 | t_clothing = -999.0_wp |
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| 314 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 315 | t_clothing, storage, dt, pmva ) |
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| 316 | ENDIF |
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| 317 | |
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| 318 | ENDIF |
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| 319 | |
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| 320 | !-- Determine perceived temperature by regression equation + adjustments |
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| 321 | pmvs = pmva |
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| 322 | CALL pt_regression ( pmva, clo, ipt ) |
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| 323 | ptc = ipt |
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| 324 | IF ( clo >= 1.75_wp .AND. pmva <= -0.11_wp ) THEN |
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| 325 | !-- Adjust for cold conditions according to Gagge 1986 |
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| 326 | CALL dpmv_cold ( pmva, ta, vau1m, tmrt, nerr_kalt, d_pmv ) |
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| 327 | IF ( nerr_kalt > 0_iwp ) nerr = -5_iwp |
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| 328 | pmvs = pmva - d_pmv |
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| 329 | IF ( pmvs > -0.11_wp ) THEN |
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| 330 | d_pmv = 0._wp |
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| 331 | pmvs = -0.11_wp |
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| 332 | ENDIF |
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| 333 | CALL pt_regression ( pmvs, clo, ipt ) |
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| 334 | ENDIF |
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| 335 | clo_fanger = clo |
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| 336 | clon = clo |
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| 337 | IF ( clo > 0.5_wp .AND. ipt <= 8.73_wp ) THEN |
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| 338 | !-- Required clothing insulation (ireq) is exclusively defined for |
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| 339 | ! operative temperatures (top) less 10 (C) for a |
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| 340 | ! reference wind of 0.2 m/s according to 8.73 (C) for 0.1 m/s |
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| 341 | clon = ireq_neutral ( ipt, ireq_minimal, nerr ) |
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| 342 | clo = clon |
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| 343 | ENDIF |
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| 344 | CALL calc_sultr ( ptc, dgtcm, dgtcstd, sult_lim ) |
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| 345 | sultrieness = .FALSE. |
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| 346 | d_std = -99._wp |
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| 347 | IF ( pmva > 0.06_wp .AND. clo <= 0.5_wp ) THEN |
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| 348 | !-- Adjust for warm/humid conditions according to Gagge 1986 |
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| 349 | CALL saturation_vapor_pressure ( ta, svp_tt ) |
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| 350 | d_pmv = deltapmv ( pmva, ta, vp, svp_tt, tmrt, vau1m, nerr ) |
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| 351 | pmvs = pmva + d_pmv |
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| 352 | CALL pt_regression ( pmvs, clo, ipt ) |
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| 353 | IF ( sult_lim < 99._wp ) THEN |
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| 354 | IF ( (ipt - ptc) > sult_lim ) sultrieness = .TRUE. |
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| 355 | ENDIF |
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| 356 | ENDIF |
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| 357 | |
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| 358 | |
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| 359 | END SUBROUTINE ipt_init |
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| 360 | |
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| 361 | !------------------------------------------------------------------------------! |
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| 362 | ! Description: |
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| 363 | ! ------------ |
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| 364 | !> SUBROUTINE ipt_cycle |
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| 365 | !> Calculates one timestep for the instationary version of perceived |
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| 366 | !> temperature (iPT, °C) for |
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| 367 | !> - standard measured/predicted meteorological values and TMRT |
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| 368 | !> as input; |
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| 369 | !> - regressions for determination of PT; |
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| 370 | !> - adjustment to Gagge's PMV* (2-node-model, 1986) as base of PT |
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| 371 | !> under warm/humid conditions (Icl= 0.50 clo) and under cold |
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| 372 | !> conditions (Icl= 1.75 clo) |
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| 373 | !> |
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| 374 | !------------------------------------------------------------------------------! |
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| 375 | SUBROUTINE ipt_cycle( ta, vp, vau1m, tmrt, pb, dt, storage, t_clothing, clo, & |
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| 376 | actlev, work, ipt ) |
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| 377 | |
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| 378 | IMPLICIT NONE |
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| 379 | |
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| 380 | !-- Type of input of the argument list |
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| 381 | REAL(wp), INTENT ( IN ) :: ta !< Air temperature (°C) |
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| 382 | REAL(wp), INTENT ( IN ) :: vp !< Vapor pressure (hPa) |
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| 383 | REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (°C) |
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| 384 | REAL(wp), INTENT ( IN ) :: vau1m !< Wind speed (m/s) |
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| 385 | REAL(wp), INTENT ( IN ) :: pb !< Air pressure (hPa) |
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| 386 | REAL(wp), INTENT ( IN ) :: dt !< Timestep (s) |
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| 387 | REAL(wp), INTENT ( IN ) :: clo !< Clothing index (no dim) |
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| 388 | REAL(wp), INTENT ( IN ) :: actlev !< Internal heat production (W) |
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| 389 | REAL(wp), INTENT ( IN ) :: work !< Mechanical work load (W) |
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| 390 | |
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| 391 | !-- In and output parameters |
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| 392 | REAL(wp), INTENT (INOUT) :: storage !< Heat storage (W) |
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| 393 | REAL(wp), INTENT (INOUT) :: t_clothing !< Clothig temperature (°C) |
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| 394 | |
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| 395 | !-- Type of output of the argument list |
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| 396 | REAL(wp), INTENT ( OUT ) :: ipt !< Instationary perceived temperature (°C) |
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| 397 | |
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| 398 | !-- Type of program variables |
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| 399 | REAL(wp), PARAMETER :: eps = 0.0005_wp |
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| 400 | REAL(wp) :: d_pmv |
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| 401 | REAL(wp) :: pmv_o |
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| 402 | REAL(wp) :: pmv_s |
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| 403 | REAL(wp) :: storage_rate |
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| 404 | REAL(wp) :: ener_in |
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| 405 | REAL(wp) :: svp_tt |
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| 406 | REAL(wp) :: sult_lim |
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| 407 | REAL(wp) :: dgtcm |
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| 408 | REAL(wp) :: dgtcstd |
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| 409 | REAL(wp) :: clon |
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| 410 | REAL(wp) :: ireq_minimal |
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| 411 | REAL(wp) :: clo_fanger |
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| 412 | REAL(wp) :: pmv_u |
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| 413 | REAL(wp) :: half_hour_frac |
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| 414 | REAL(wp) :: storage_delta |
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| 415 | REAL(wp) :: storage_delta_max |
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| 416 | REAL(wp) :: pmva |
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| 417 | REAL(wp) :: ptc |
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| 418 | REAL(wp) :: d_std |
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| 419 | REAL(wp) :: pmvs |
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| 420 | REAL(wp) :: top |
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| 421 | INTEGER(iwp) :: nzaehl |
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| 422 | INTEGER(iwp) :: nerr_kalt |
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| 423 | INTEGER(iwp) :: nerr |
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| 424 | |
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| 425 | LOGICAL :: sultrieness |
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| 426 | |
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| 427 | !-- Initialise |
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| 428 | ipt = -999.0_wp |
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| 429 | |
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| 430 | nerr = 0_iwp |
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| 431 | nzaehl = 0_iwp |
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| 432 | sultrieness = .FALSE. |
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| 433 | |
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| 434 | !-- Determine pmv_adjusted for current conditions |
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| 435 | CALL fanger_s_acti ( ta, tmrt, vp, vau1m, pb, clo, actlev, work, & |
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| 436 | t_clothing, storage, dt, pmva ) |
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| 437 | pmv_s = pmva !< PMV considering storage |
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| 438 | |
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| 439 | !-- Determine perceived temperature by regression equation + adjustments |
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| 440 | CALL pt_regression ( pmva, clo, ipt ) |
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| 441 | |
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| 442 | IF ( clo >= 1.75_wp .AND. pmva <= -0.11_wp ) THEN |
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| 443 | !-- Adjust for cold conditions according to Gagge 1986 |
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| 444 | CALL dpmv_cold ( pmva, ta, vau1m, tmrt, nerr_kalt, d_pmv ) |
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| 445 | IF ( nerr_kalt > 0_iwp ) nerr = -5_iwp |
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| 446 | pmvs = pmva - d_pmv |
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| 447 | IF ( pmvs > -0.11_wp ) THEN |
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| 448 | d_pmv = 0._wp |
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| 449 | pmvs = -0.11_wp |
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| 450 | ENDIF |
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| 451 | CALL pt_regression ( pmvs, clo, ipt ) |
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| 452 | ENDIF |
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| 453 | |
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| 454 | !-- Consider sultriness if appropriate |
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| 455 | ptc = ipt |
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| 456 | CALL calc_sultr ( ptc, dgtcm, dgtcstd, sult_lim ) |
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| 457 | sultrieness = .FALSE. |
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| 458 | d_std = -99._wp |
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| 459 | IF ( pmva > 0.06_wp .AND. clo <= 0.5_wp ) THEN |
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| 460 | !-- Adjust for warm/humid conditions according to Gagge 1986 |
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| 461 | CALL saturation_vapor_pressure ( ta, svp_tt ) |
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| 462 | d_pmv = deltapmv ( pmva, ta, vp, svp_tt, tmrt, vau1m, nerr ) |
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| 463 | pmvs = pmva + d_pmv |
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| 464 | CALL pt_regression ( pmvs, clo, ipt ) |
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| 465 | IF ( sult_lim < 99._wp ) THEN |
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| 466 | IF ( (ipt - ptc) > sult_lim ) sultrieness = .TRUE. |
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| 467 | ENDIF |
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| 468 | ENDIF |
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| 469 | |
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| 470 | END SUBROUTINE ipt_cycle |
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| 471 | |
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| 472 | !------------------------------------------------------------------------------! |
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| 473 | ! Description: |
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| 474 | ! ------------ |
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| 475 | !> SUBROUTINE fanger_s calculates the |
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| 476 | !> actual Predicted Mean Vote (dimensionless) according |
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| 477 | !> to Fanger corresponding to meteorological (tt,tmrt,pa,vau,pb) |
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| 478 | !> and individual variables (clo, actlev, eta) considering a storage |
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| 479 | !> and clothing temperature for a given timestep. |
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| 480 | !------------------------------------------------------------------------------! |
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| 481 | SUBROUTINE fanger_s_acti( tt, tmrt, pa, in_vau, pb, in_clo, actlev, & |
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| 482 | activity, t_cloth, s, dt, pmva ) |
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| 483 | |
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| 484 | IMPLICIT NONE |
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| 485 | |
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| 486 | !-- Input argument types |
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| 487 | REAL(wp), INTENT ( IN ) :: tt !< Air temperature (°C) |
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| 488 | REAL(wp), INTENT ( IN ) :: tmrt !< Mean radiant temperature (°C) |
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| 489 | REAL(wp), INTENT ( IN ) :: pa !< Vapour pressure (hPa) |
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| 490 | REAL(wp), INTENT ( IN ) :: pb !< Air pressure (hPa) |
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| 491 | REAL(wp), INTENT ( IN ) :: in_vau !< Wind speed (m/s) |
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| 492 | REAL(wp), INTENT ( IN ) :: actlev !< Metabolic + work energy (W/m²) |
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| 493 | REAL(wp), INTENT ( IN ) :: dt !< Timestep (s) |
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| 494 | REAL(wp), INTENT ( IN ) :: activity !< Work load (W/m²) |
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| 495 | REAL(wp), INTENT ( IN ) :: in_clo !< Clothing index (clo) (no dim) |
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| 496 | |
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| 497 | !-- Output argument types |
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| 498 | REAL(wp), INTENT ( OUT ) :: pmva !< actual Predicted Mean Vote (no dim) |
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| 499 | |
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| 500 | REAL(wp), INTENT (INOUT) :: s !< storage var. of energy balance (W/m2) |
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| 501 | REAL(wp), INTENT (INOUT) :: t_cloth !< clothing temperature (°C) |
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| 502 | |
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| 503 | !-- Internal variables |
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| 504 | REAL(wp) :: f_cl |
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| 505 | REAL(wp) :: heat_convection |
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| 506 | REAL(wp) :: t_skin_aver |
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| 507 | REAL(wp) :: bc |
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| 508 | REAL(wp) :: cc |
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| 509 | REAL(wp) :: dc |
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| 510 | REAL(wp) :: ec |
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| 511 | REAL(wp) :: gc |
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| 512 | REAL(wp) :: hr |
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| 513 | REAL(wp) :: clo |
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| 514 | REAL(wp) :: vau |
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| 515 | REAL(wp) :: z1 |
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| 516 | REAL(wp) :: z2 |
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| 517 | REAL(wp) :: z3 |
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| 518 | REAL(wp) :: z4 |
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| 519 | REAL(wp) :: z5 |
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| 520 | REAL(wp) :: z6 |
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| 521 | REAL(wp) :: en |
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| 522 | REAL(wp) :: d_s |
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| 523 | REAL(wp) :: t_clothing !< Clothing index value (dimensionless) |
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| 524 | REAL(wp) :: adjustrate |
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| 525 | REAL(wp) :: adjustrate_cloth |
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| 526 | REAL(wp), PARAMETER :: time_equil = 7200._wp |
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| 527 | INTEGER(iwp) :: i |
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| 528 | INTEGER(iwp) :: niter !< Running index |
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| 529 | |
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| 530 | |
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| 531 | !-- Clo must be > 0. to avoid div. by 0! |
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| 532 | clo = in_clo |
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| 533 | IF ( clo < 001._wp ) clo = .001_wp |
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| 534 | |
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| 535 | !-- Increase in surface due to clothing |
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| 536 | f_cl = 1._wp + .15_wp * clo |
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| 537 | |
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| 538 | !-- Case of free convection (vau < 0.1 m/s ) not considered |
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| 539 | vau = in_vau |
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| 540 | IF ( vau < .1_wp ) THEN |
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| 541 | vau = .1_wp |
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| 542 | ENDIF |
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| 543 | |
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| 544 | !-- Heat_convection = forced convection |
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| 545 | heat_convection = 12.1_wp * SQRT ( vau * pb / 1013.25_wp ) |
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| 546 | |
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| 547 | !-- Average skin temperature |
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| 548 | t_skin_aver = 35.7_wp - .0275_wp * activity |
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| 549 | |
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| 550 | !-- Calculation of constants for evaluation below |
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| 551 | bc = .155_wp * clo * 3.96_wp * 10._wp**( -8._wp ) * f_cl |
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| 552 | cc = f_cl * heat_convection |
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| 553 | ec = .155_wp * clo |
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| 554 | dc = ( 1._wp + ec * cc ) / bc |
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| 555 | gc = ( t_skin_aver + bc * ( tmrt + 273.2_wp )**4._wp + ec * cc * tt ) / bc |
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| 556 | |
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| 557 | !-- Calculation of clothing surface temperature (t_clothing) based on |
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| 558 | ! newton-approximation with air temperature as initial guess |
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| 559 | niter = dt |
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| 560 | adjustrate = 1._wp - EXP ( -1._wp * ( 10._wp / time_equil ) * dt ) |
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| 561 | IF ( adjustrate >= 1._wp ) adjustrate = 1._wp |
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| 562 | adjustrate_cloth = adjustrate * 30._wp |
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| 563 | t_clothing = t_cloth |
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| 564 | |
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| 565 | IF ( t_cloth <= -998.0_wp ) THEN ! If initial run |
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| 566 | niter = 3_wp |
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| 567 | adjustrate = 1._wp |
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| 568 | adjustrate_cloth = 1._wp |
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| 569 | t_clothing = tt |
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| 570 | ENDIF |
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| 571 | |
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| 572 | DO i = 1, niter |
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| 573 | t_clothing = t_clothing - adjustrate_cloth * ( ( t_clothing + & |
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| 574 | 273.2_wp )**4._wp + t_clothing * & |
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| 575 | dc - gc ) / ( 4._wp * ( t_clothing + 273.2_wp )**3._wp + dc ) |
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| 576 | ENDDO |
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| 577 | |
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| 578 | !-- Empiric factor for the adaption of the heat ballance equation |
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| 579 | ! to the psycho-physical scale (Equ. 40 in FANGER) |
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| 580 | z1 = ( .303_wp * EXP ( -.036_wp * actlev ) + .0275_wp ) |
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| 581 | |
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| 582 | !-- Water vapour diffution through the skin |
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| 583 | z2 = .31_wp * ( 57.3_wp - .07_wp * activity-pa ) |
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| 584 | |
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| 585 | !-- Sweat evaporation from the skin surface |
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| 586 | z3 = .42_wp * ( activity - 58._wp ) |
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| 587 | |
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| 588 | !-- Loss of latent heat through respiration |
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| 589 | z4 = .0017_wp * actlev * ( 58.7_wp - pa ) + .0014_wp * actlev * & |
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| 590 | ( 34._wp - tt ) |
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| 591 | |
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| 592 | !-- Loss of radiational heat |
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| 593 | z5 = 3.96e-8_wp * f_cl * ( ( t_clothing + 273.2_wp )**4 - ( tmrt + & |
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| 594 | 273.2_wp )**4 ) |
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| 595 | |
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| 596 | !-- Heat loss through forced convection |
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| 597 | z6 = cc * ( t_clothing - tt ) |
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| 598 | |
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| 599 | !-- Write together as energy ballance |
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| 600 | en = activity - z2 - z3 - z4 - z5 - z6 |
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| 601 | |
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| 602 | !-- Manage storage |
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| 603 | d_s = adjustrate * en + ( 1._wp - adjustrate ) * s |
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| 604 | |
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| 605 | !-- Predicted Mean Vote |
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| 606 | pmva = z1 * d_s |
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| 607 | |
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| 608 | !-- Update storage |
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| 609 | s = d_s |
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| 610 | t_cloth = t_clothing |
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| 611 | |
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| 612 | END SUBROUTINE fanger_s_acti |
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| 613 | |
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| 614 | |
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| 615 | END MODULE biometeorology_ipt_mod |
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