| 1 | ! |
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| 2 | MODULE cdrag_mod |
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| 3 | ! |
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| 4 | ! This module contains some procedures for calculation of the cdrag |
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| 5 | ! coefficients for turbulent diffusion at surface |
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| 6 | ! |
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| 7 | IMPLICIT NONE |
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| 8 | |
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| 9 | CONTAINS |
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| 10 | ! |
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| 11 | !**************************************************************************************** |
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| 12 | ! |
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| 13 | !r original routine svn3623 |
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| 14 | ! |
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| 15 | SUBROUTINE cdrag(knon, nsrf, & |
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| 16 | speed, t1, q1, zgeop1, & |
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| 17 | psol, tsurf, qsurf, z0m, z0h, & |
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| 18 | ri_in, iri_in, & |
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| 19 | cdm, cdh, zri, pref) |
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| 20 | |
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| 21 | USE dimphy |
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| 22 | USE indice_sol_mod |
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| 23 | USE print_control_mod, ONLY: lunout, prt_level |
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| 24 | USE ioipsl_getin_p_mod, ONLY : getin_p |
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| 25 | USE atke_turbulence_ini_mod, ONLY : ric, cinf, cepsilon, pr_slope, pr_asym, pr_neut |
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| 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | ! ================================================================= c |
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| 29 | ! |
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| 30 | ! Objet : calcul des cdrags pour le moment (pcfm) et |
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| 31 | ! les flux de chaleur sensible et latente (pcfh) d'apr??s |
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| 32 | ! Louis 1982, Louis 1979, King et al 2001 |
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| 33 | ! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979 |
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| 34 | ! et 1982 pour les cas instables |
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| 35 | ! |
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| 36 | ! Modified history: |
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| 37 | ! writting on the 20/05/2016 |
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| 38 | ! modified on the 13/12/2016 to be adapted to LMDZ6 |
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| 39 | ! |
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| 40 | ! References: |
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| 41 | ! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the |
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| 42 | ! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202. |
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| 43 | ! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the |
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| 44 | ! operational PBL parametrization at ECMWF'. Workshop on boundary layer |
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| 45 | ! parametrization, November 1981, ECMWF, Reading, England. |
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| 46 | ! Page: 19. Equations in Table 1. |
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| 47 | ! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS |
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| 48 | ! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM |
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| 49 | ! Boundary-Layer Meteorology 72: 331-344 |
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| 50 | ! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer. |
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| 51 | ! European Centre for Medium-Range Weather Forecasts. |
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| 52 | ! Equations: 110-113. Page 40. |
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| 53 | ! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF |
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| 54 | ! model to the parameterization of evaporation from the tropical oceans. J. |
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| 55 | ! Climate, 5:418-434. |
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| 56 | ! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate |
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| 57 | ! to surface and boundary-layer flux parametrizations |
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| 58 | ! QJRMS, 127, pp 779-794 |
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| 59 | ! |
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| 60 | ! ================================================================= c |
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| 61 | ! ================================================================= c |
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| 62 | ! On choisit le couple de fonctions de correction avec deux flags: |
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| 63 | ! Un pour les cas instables, un autre pour les cas stables |
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| 64 | ! |
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| 65 | ! iflag_corr_insta: |
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| 66 | ! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h) |
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| 67 | ! 2: Louis 1982 |
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| 68 | ! 3: Laurent Li |
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| 69 | ! |
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| 70 | ! iflag_corr_sta: |
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| 71 | ! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h) |
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| 72 | ! 2: Louis 1982 |
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| 73 | ! 3: Laurent Li |
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| 74 | ! 4: King 2001 (SHARP) |
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| 75 | ! 5: MO 1st order theory (allow collapse of turbulence) |
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| 76 | ! |
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| 77 | ! |
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| 78 | !***************************************************************** |
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| 79 | ! Parametres d'entree |
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| 80 | !***************************************************************** |
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| 81 | |
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| 82 | INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface |
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| 83 | REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele |
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| 84 | REAL, DIMENSION(klon), INTENT(IN) :: zgeop1! geopotentiel au 1er niveau du modele |
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| 85 | REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K) |
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| 86 | REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg) |
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| 87 | REAL, DIMENSION(klon), INTENT(IN) :: z0m, z0h ! Rugosity at surface (m) |
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| 88 | REAL, DIMENSION(klon), INTENT(IN) :: ri_in ! Input Richardson 1st layer for first guess calculations of screen var. |
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| 89 | INTEGER, INTENT(IN) :: iri_in! iflag to activate cdrag calculation using ri1 |
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| 90 | REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K) |
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| 91 | REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg) |
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| 92 | REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol |
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| 93 | |
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| 94 | |
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| 95 | |
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| 96 | ! Parametres de sortie |
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| 97 | !****************************************************************** |
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| 98 | REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for momentum |
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| 99 | REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for heat flux |
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| 100 | REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number |
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| 101 | REAL, DIMENSION(klon), INTENT(OUT) :: pref ! Pression au niveau zgeop/RG |
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| 102 | |
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| 103 | ! Variables Locales |
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| 104 | !****************************************************************** |
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| 105 | |
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| 106 | |
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| 107 | INCLUDE "YOMCST.h" |
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| 108 | INCLUDE "YOETHF.h" |
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| 109 | INCLUDE "clesphys.h" |
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| 110 | |
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| 111 | |
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| 112 | REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42 |
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| 113 | REAL CEPDU2 |
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| 114 | REAL ALPHA |
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| 115 | REAL CB,CC,CD,C2,C3 |
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| 116 | REAL MU, CM, CH, B, CMstar, CHstar |
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| 117 | REAL PM, PH, BPRIME |
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| 118 | REAL C |
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| 119 | INTEGER ng_q1 ! Number of grids that q1 < 0.0 |
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| 120 | INTEGER ng_qsurf ! Number of grids that qsurf < 0.0 |
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| 121 | INTEGER i |
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| 122 | REAL zdu2, ztsolv |
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| 123 | REAL ztvd, zscf |
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| 124 | REAL zucf, zcr |
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| 125 | REAL friv, frih |
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| 126 | REAL, DIMENSION(klon) :: FM, FH ! stability functions |
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| 127 | REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions |
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| 128 | REAL zzzcd |
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| 129 | REAL, DIMENSION(klon) :: sm, prandtl ! Stability function from atke turbulence scheme |
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| 130 | REAL ri0, ri1, cn ! to have dimensionless term in sm and prandtl |
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| 131 | |
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| 132 | LOGICAL, SAVE :: firstcall = .TRUE. |
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| 133 | !$OMP THREADPRIVATE(firstcall) |
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| 134 | INTEGER, SAVE :: iflag_corr_sta |
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| 135 | !$OMP THREADPRIVATE(iflag_corr_sta) |
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| 136 | INTEGER, SAVE :: iflag_corr_insta |
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| 137 | !$OMP THREADPRIVATE(iflag_corr_insta) |
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| 138 | |
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| 139 | !===================================================================c |
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| 140 | ! Valeurs numeriques des constantes |
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| 141 | !===================================================================c |
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| 142 | |
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| 143 | |
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| 144 | ! Minimum du carre du vent |
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| 145 | |
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| 146 | CEPDU2 = (0.1)**2 |
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| 147 | |
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| 148 | ! Louis 1982 |
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| 149 | |
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| 150 | CB=5.0 |
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| 151 | CC=5.0 |
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| 152 | CD=5.0 |
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| 153 | |
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| 154 | |
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| 155 | ! King 2001 |
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| 156 | |
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| 157 | C2=0.25 |
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| 158 | C3=0.0625 |
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| 159 | |
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| 160 | |
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| 161 | ! Louis 1979 |
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| 162 | |
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| 163 | BPRIME=4.7 |
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| 164 | B=9.4 |
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| 165 | |
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| 166 | |
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| 167 | !MO |
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| 168 | |
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| 169 | ALPHA=5.0 |
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| 170 | |
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| 171 | ! Consistent with atke scheme |
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| 172 | cn=(1./sqrt(cepsilon))**(2/3) |
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| 173 | ri0=2./rpi*(cinf - cn)*ric/cn |
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| 174 | ri1=-2./rpi * (pr_asym - pr_neut)/pr_slope |
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| 175 | |
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| 176 | |
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| 177 | ! ================================================================= c |
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| 178 | ! Tests avant de commencer |
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| 179 | ! Fuxing WANG, 04/03/2015 |
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| 180 | ! To check if there are negative q1, qsurf values. |
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| 181 | !====================================================================c |
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| 182 | ng_q1 = 0 ! Initialization |
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| 183 | ng_qsurf = 0 ! Initialization |
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| 184 | DO i = 1, knon |
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| 185 | IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1 |
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| 186 | IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1 |
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| 187 | ENDDO |
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| 188 | IF (ng_q1.GT.0 .and. prt_level > 5) THEN |
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| 189 | WRITE(lunout,*)" *** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !" |
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| 190 | WRITE(lunout,*)" The total number of the grids is: ", ng_q1 |
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| 191 | WRITE(lunout,*)" The negative q1 is set to zero " |
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| 192 | ! abort_message="voir ci-dessus" |
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| 193 | ! CALL abort_physic(modname,abort_message,1) |
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| 194 | ENDIF |
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| 195 | IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN |
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| 196 | WRITE(lunout,*)" *** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !" |
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| 197 | WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf |
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| 198 | WRITE(lunout,*)" The negative qsurf is set to zero " |
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| 199 | ! abort_message="voir ci-dessus" |
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| 200 | ! CALL abort_physic(modname,abort_message,1) |
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| 201 | ENDIF |
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| 202 | |
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| 203 | |
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| 204 | |
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| 205 | !=============================================================================c |
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| 206 | ! Calcul du cdrag |
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| 207 | !=============================================================================c |
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| 208 | |
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| 209 | ! On choisit les fonctions de stabilite utilisees au premier appel |
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| 210 | !************************************************************************** |
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| 211 | IF (firstcall) THEN |
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| 212 | iflag_corr_sta=2 |
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| 213 | iflag_corr_insta=2 |
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| 214 | |
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| 215 | CALL getin_p('iflag_corr_sta',iflag_corr_sta) |
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| 216 | CALL getin_p('iflag_corr_insta',iflag_corr_insta) |
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| 217 | |
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| 218 | firstcall = .FALSE. |
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| 219 | ENDIF |
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| 220 | |
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| 221 | !xxxxxxxxxxxxxxxxxxxxxxx |
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| 222 | DO i = 1, knon ! Boucle sur l'horizontal |
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| 223 | !xxxxxxxxxxxxxxxxxxxxxxx |
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| 224 | |
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| 225 | |
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| 226 | ! calculs preliminaires: |
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| 227 | !*********************** |
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| 228 | |
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| 229 | |
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| 230 | zdu2 = MAX(CEPDU2, speed(i)**2) |
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| 231 | pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RD*t1(i)* & |
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| 232 | (1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero |
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| 233 | ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero |
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| 234 | ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*max(q1(i),0.0))) & |
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| 235 | *(1.+RETV*max(q1(i),0.0)) ! negative q1 set to zero |
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| 236 | zri(i) = zgeop1(i)*(ztvd-ztsolv)/(zdu2*ztvd) |
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| 237 | IF (iri_in.EQ.1) THEN |
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| 238 | zri(i) = ri_in(i) |
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| 239 | ENDIF |
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| 240 | |
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| 241 | |
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| 242 | ! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)): |
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| 243 | !******************************************************************** |
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| 244 | |
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| 245 | zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i))) |
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| 246 | cdmn(i) = zzzcd*zzzcd |
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| 247 | cdhn(i) = zzzcd*(CKAP/LOG(1.+zgeop1(i)/(RG*z0h(i)))) |
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| 248 | |
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| 249 | |
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| 250 | ! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi : |
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| 251 | !******************************************************* |
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| 252 | |
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| 253 | |
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| 254 | |
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| 255 | !'''''''''''''' |
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| 256 | ! Cas instables |
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| 257 | !'''''''''''''' |
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| 258 | |
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| 259 | IF (zri(i) .LT. 0.) THEN |
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| 260 | |
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| 261 | |
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| 262 | SELECT CASE (iflag_corr_insta) |
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| 263 | |
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| 264 | CASE (1) ! Louis 1979 + Mascart 1995 |
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| 265 | |
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| 266 | MU=LOG(MAX(z0m(i)/z0h(i),0.01)) |
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| 267 | CMstar=6.8741+2.6933*MU-0.3601*(MU**2)+0.0154*(MU**3) |
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| 268 | PM=0.5233-0.0815*MU+0.0135*(MU**2)-0.001*(MU**3) |
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| 269 | CHstar=3.2165+4.3431*MU+0.536*(MU**2)-0.0781*(MU**3) |
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| 270 | PH=0.5802-0.1571*MU+0.0327*(MU**2)-0.0026*(MU**3) |
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| 271 | CH=CHstar*B*CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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| 272 | & * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) & |
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| 273 | & * ((zgeop1(i)/(RG*z0h(i)))**PH) |
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| 274 | CM=CMstar*B*CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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| 275 | & *CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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| 276 | & * ((zgeop1(i)/(RG*z0m(i)))**PM) |
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| 277 | |
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| 278 | |
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| 279 | |
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| 280 | |
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| 281 | FM(i)=1.-B*zri(i)/(1.+CM*SQRT(ABS(zri(i)))) |
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| 282 | FH(i)=1.-B*zri(i)/(1.+CH*SQRT(ABS(zri(i)))) |
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| 283 | |
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| 284 | CASE (2) ! Louis 1982 |
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| 285 | |
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| 286 | zucf = 1./(1.+3.0*CB*CC*cdmn(i)*SQRT(ABS(zri(i)) & |
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| 287 | *(1.0+zgeop1(i)/(RG*z0m(i))))) |
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| 288 | FM(i) = AMAX1((1.-2.0*CB*zri(i)*zucf),f_ri_cd_min) |
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| 289 | FH(i) = AMAX1((1.-3.0*CB*zri(i)*zucf),f_ri_cd_min) |
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| 290 | |
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| 291 | |
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| 292 | CASE (3) ! Laurent Li |
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| 293 | |
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| 294 | |
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| 295 | FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min) |
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| 296 | FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min) |
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| 297 | |
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| 298 | CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023) |
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| 299 | |
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| 300 | sm(i) = 2./rpi * (cinf - cn) * atan(-zri(i)/ri0) + cn |
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| 301 | prandtl(i) = -2./rpi * (pr_asym - pr_neut) * atan(zri(i)/ri1) + pr_neut |
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| 302 | FM(i) = MAX((sm(i)**(3/2) * sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min) |
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| 303 | FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min) |
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| 304 | |
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| 305 | CASE default ! Louis 1982 |
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| 306 | |
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| 307 | zucf = 1./(1.+3.0*CB*CC*cdmn(i)*SQRT(ABS(zri(i)) & |
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| 308 | *(1.0+zgeop1(i)/(RG*z0m(i))))) |
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| 309 | FM(i) = AMAX1((1.-2.0*CB*zri(i)*zucf),f_ri_cd_min) |
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| 310 | FH(i) = AMAX1((1.-3.0*CB*zri(i)*zucf),f_ri_cd_min) |
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| 311 | |
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| 312 | |
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| 313 | END SELECT |
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| 314 | |
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| 315 | |
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| 316 | |
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| 317 | ! Calcul des drags |
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| 318 | |
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| 319 | |
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| 320 | cdm(i)=cdmn(i)*FM(i) |
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| 321 | cdh(i)=f_cdrag_ter*cdhn(i)*FH(i) |
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| 322 | |
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| 323 | |
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| 324 | ! Traitement particulier des cas oceaniques |
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| 325 | ! on applique Miller et al 1992 en l'absence de gustiness |
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| 326 | |
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| 327 | IF (nsrf == is_oce) THEN |
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| 328 | ! cdh(i)=f_cdrag_oce*cdhn(i)*FH(i) |
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| 329 | |
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| 330 | IF(iflag_gusts==0) THEN |
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| 331 | zcr = (0.0016/(cdmn(i)*SQRT(zdu2)))*ABS(ztvd-ztsolv)**(1./3.) |
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| 332 | cdh(i) =f_cdrag_oce* cdhn(i)*(1.0+zcr**1.25)**(1./1.25) |
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| 333 | ENDIF |
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| 334 | |
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| 335 | |
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| 336 | cdm(i)=MIN(cdm(i),cdmmax) |
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| 337 | cdh(i)=MIN(cdh(i),cdhmax) |
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| 338 | |
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| 339 | END IF |
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| 340 | |
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| 341 | |
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| 342 | |
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| 343 | ELSE |
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| 344 | |
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| 345 | !''''''''''''''' |
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| 346 | ! Cas stables : |
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| 347 | !''''''''''''''' |
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| 348 | zri(i) = MIN(20.,zri(i)) |
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| 349 | |
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| 350 | SELECT CASE (iflag_corr_sta) |
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| 351 | |
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| 352 | CASE (1) ! Louis 1979 + Mascart 1995 |
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| 353 | |
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| 354 | FM(i)=MAX(1./((1+BPRIME*zri(i))**2),f_ri_cd_min) |
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| 355 | FH(i)=FM(i) |
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| 356 | |
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| 357 | |
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| 358 | CASE (2) ! Louis 1982 |
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| 359 | |
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| 360 | zscf = SQRT(1.+CD*ABS(zri(i))) |
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| 361 | FM(i)= AMAX1(1. / (1.+2.*CB*zri(i)/zscf), f_ri_cd_min) |
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| 362 | FH(i)= AMAX1(1./ (1.+3.*CB*zri(i)*zscf), f_ri_cd_min ) |
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| 363 | |
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| 364 | |
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| 365 | CASE (3) ! Laurent Li |
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| 366 | |
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| 367 | FM(i)=MAX(1.0 / (1.0+10.0*zri(i)*(1+8.0*zri(i))),f_ri_cd_min) |
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| 368 | FH(i)=FM(i) |
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| 369 | |
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| 370 | |
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| 371 | CASE (4) ! King 2001 |
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| 372 | |
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| 373 | if (zri(i) .LT. C2/2.) then |
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| 374 | FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min) |
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| 375 | FH(i)= FM(i) |
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| 376 | |
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| 377 | |
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| 378 | else |
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| 379 | FM(i)=MAX(C3*((C2/zri(i))**2),f_ri_cd_min) |
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| 380 | FH(i)= FM(i) |
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| 381 | endif |
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| 382 | |
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| 383 | |
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| 384 | CASE (5) ! MO |
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| 385 | |
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| 386 | if (zri(i) .LT. 1./alpha) then |
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| 387 | |
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| 388 | FM(i)=MAX((1.-alpha*zri(i))**2,f_ri_cd_min) |
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| 389 | FH(i)=FM(i) |
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| 390 | |
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| 391 | else |
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| 392 | |
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| 393 | |
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| 394 | FM(i)=MAX(1E-7,f_ri_cd_min) |
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| 395 | FH(i)=FM(i) |
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| 396 | |
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| 397 | endif |
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| 398 | |
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| 399 | CASE (6) ! Consistent with turbulence scheme (in stationary case) derived in atke (2023) |
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| 400 | sm(i) = MAX(0.,cn*(1.-zri(i)/ric)) |
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| 401 | prandtl(i) = pr_neut + zri(i) * pr_slope |
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| 402 | FM(i) = MAX((sm(i)**(3/2) * sqrt(cepsilon) * (1 - zri(i) / prandtl(i))**(1/2)),f_ri_cd_min) |
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| 403 | FH(i) = MAX((FM(i) / prandtl(i)), f_ri_cd_min) |
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| 404 | |
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| 405 | CASE default ! Louis 1982 |
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| 406 | |
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| 407 | zscf = SQRT(1.+CD*ABS(zri(i))) |
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| 408 | FM(i)= AMAX1(1. / (1.+2.*CB*zri(i)/zscf), f_ri_cd_min) |
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| 409 | FH(i)= AMAX1(1./ (1.+3.*CB*zri(i)*zscf), f_ri_cd_min ) |
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| 410 | |
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| 411 | |
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| 412 | |
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| 413 | END SELECT |
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| 414 | |
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| 415 | ! Calcul des drags |
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| 416 | |
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| 417 | |
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| 418 | cdm(i)=cdmn(i)*FM(i) |
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| 419 | cdh(i)=f_cdrag_ter*cdhn(i)*FH(i) |
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| 420 | |
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| 421 | IF(nsrf.EQ.is_oce) THEN |
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| 422 | |
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| 423 | cdh(i)=f_cdrag_oce*cdhn(i)*FH(i) |
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| 424 | cdm(i)=MIN(cdm(i),cdmmax) |
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| 425 | cdh(i)=MIN(cdh(i),cdhmax) |
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| 426 | |
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| 427 | ENDIF |
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| 428 | |
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| 429 | |
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| 430 | ENDIF |
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| 431 | |
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| 432 | !xxxxxxxxxxx |
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| 433 | END DO ! Fin de la boucle sur l'horizontal |
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| 434 | !xxxxxxxxxxx |
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| 435 | ! ================================================================= c |
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| 436 | |
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| 437 | END SUBROUTINE cdrag |
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| 438 | |
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| 439 | END MODULE cdrag_mod |
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