| 1 | !SFX_LIC Copyright 1994-2014 CNRS, Meteo-France and Universite Paul Sabatier |
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| 2 | !SFX_LIC This is part of the SURFEX software governed by the CeCILL-C licence |
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| 3 | !SFX_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt |
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| 4 | !SFX_LIC for details. version 1. |
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| 5 | ! ######### |
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| 6 | SUBROUTINE ECUMEV6_FLUX(PZ0SEA, PTA, PSST, PQA, PQSAT, PVMOD, & |
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| 7 | PZREF, PSSS, PUREF, PPS, PPA, OPRECIP, OPWEBB, & |
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| 8 | PSFTH, PSFTQ, PUSTAR, PCD, PCDN, PCH, PCE, & |
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| 9 | PRI, PRESA, PRAIN, PZ0HSEA, OPERTFLUX, coeffs) |
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| 10 | !############################################################################### |
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| 11 | !! |
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| 12 | !!**** *ECUMEV6_FLUX* |
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| 13 | !! |
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| 14 | !! PURPOSE |
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| 15 | !! ------- |
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| 16 | ! Calculate the surface turbulent fluxes of heat, moisture, and momentum |
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| 17 | ! over sea surface + corrections due to rainfall & Webb effect. |
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| 18 | !! |
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| 19 | !!** METHOD |
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| 20 | !! ------ |
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| 21 | ! The estimation of the transfer coefficients relies on the iterative |
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| 22 | ! computation of the scaling parameters U*/Teta*/q*. The convergence is |
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| 23 | ! supposed to be reached in NITERFL iterations maximum. |
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| 24 | ! Neutral transfer coefficients for momentum/temperature/humidity |
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| 25 | ! are computed as a function of the 10m-height neutral wind speed using |
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| 26 | ! the ECUME_V6 formulation based on the multi-campaign (POMME,FETCH,CATCH, |
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| 27 | ! SEMAPHORE,EQUALANT) ALBATROS dataset. |
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| 28 | !! |
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| 29 | !! EXTERNAL |
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| 30 | !! -------- |
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| 31 | !! |
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| 32 | !! IMPLICIT ARGUMENTS |
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| 33 | !! ------------------ |
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| 34 | !! |
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| 35 | !! REFERENCE |
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| 36 | !! --------- |
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| 37 | !! Fairall et al (1996), JGR, 3747-3764 |
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| 38 | !! Gosnell et al (1995), JGR, 437-442 |
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| 39 | !! Fairall et al (1996), JGR, 1295-1308 |
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| 40 | !! |
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| 41 | !! AUTHOR |
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| 42 | !! ------ |
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| 43 | !! C. Lebeaupin *Météo-France* (adapted from S. Belamari's code) |
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| 44 | !! |
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| 45 | !! MODIFICATIONS |
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| 46 | !! ------------- |
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| 47 | !! Original 15/03/2005 |
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| 48 | !! Modified 01/2006 C. Lebeaupin (adapted from A. Pirani's code) |
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| 49 | !! Modified 08/2009 B. Decharme: limitation of Ri |
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| 50 | !! Modified 09/2012 B. Decharme: CD correction |
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| 51 | !! Modified 09/2012 B. Decharme: limitation of Ri in surface_ri.F90 |
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| 52 | !! Modified 10/2012 P. Le Moigne: extra inputs for FLake use |
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| 53 | !! Modified 06/2013 B. Decharme: bug in z0 (output) computation |
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| 54 | !! Modified 12/2013 S. Belamari: ZRF computation updated: |
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| 55 | !! 1. ZP00/PPA in ZDWAT, ZLVA in ZDQSDT/ZBULB/ZRF |
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| 56 | !! 2. ZDWAT/ZDTMP in ZBULB/ZRF (Gosnell et al 95) |
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| 57 | !! 3. cool skin correction included |
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| 58 | !! Modified 01/2014 S. Belamari: salinity impact on latent heat of |
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| 59 | !! vaporization of seawater included |
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| 60 | !! Modified 01/2014 S. Belamari: new formulation for pure water |
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| 61 | !! specific heat (ZCPWA) |
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| 62 | !! Modified 01/2014 S. Belamari: 4 choices for PZ0SEA computation |
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| 63 | !! Modified 12/2015 S. Belamari: ECUME now provides parameterisations |
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| 64 | !! for: U10n*sqrt(CDN) instead of CDN |
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| 65 | !! U10n*CHN/sqrt(CDN) " CHN |
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| 66 | !! U10n*CEN/sqrt(CDN) " CEN |
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| 67 | !! Modified 01/2016 S. Belamari: New ECUME formulation |
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| 68 | !! |
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| 69 | !! To be done: |
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| 70 | !! include gustiness computation following Mondon & Redelsperger (1998) |
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| 71 | !!! |
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| 72 | !------------------------------------------------------------------------------- |
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| 73 | !! |
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| 74 | !! MODIFICATIONS RELATED TO SST CORRECTION COMPUTATION |
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| 75 | !! --------------------------------------------------- |
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| 76 | !! Modified 09/2013 S. Belamari: use 0.98 for the ocean emissivity |
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| 77 | !! following up to date satellite measurements in |
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| 78 | !! the 8-14 μm range (obtained values range from |
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| 79 | !! 0.98 to 0.99). |
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| 80 | !!! |
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| 81 | !------------------------------------------------------------------------------- |
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| 82 | |
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| 83 | ! 0. DECLARATIONS |
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| 84 | ! ------------ |
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| 85 | |
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| 86 | USE dimphy |
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| 87 | USE indice_sol_mod |
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| 88 | USE MODD_CSTS, ONLY: XPI, XDAY, XKARMAN, XG, XP00, XSTEFAN, XRD, XRV, & |
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| 89 | XCPD, XCPV, XCL, XTT, XLVTT |
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| 90 | USE lmdz_clesphys |
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| 91 | USE lmdz_yomcst |
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| 92 | |
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| 93 | |
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| 94 | !USE MODD_SURF_PAR, ONLY: XUNDEF |
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| 95 | !USE MODD_SURF_ATM, ONLY: XVCHRNK, XVZ0CM |
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| 96 | !USE MODD_REPROD_OPER, ONLY: CCHARNOCK |
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| 97 | |
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| 98 | !USE MODE_THERMOS |
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| 99 | !USE MODI_WIND_THRESHOLD |
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| 100 | !USE MODI_SURFACE_RI |
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| 101 | |
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| 102 | !USE YOMHOOK, ONLY: LHOOK, DR_HOOK |
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| 103 | !USE PARKIND1, ONLY: JPRB |
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| 104 | |
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| 105 | !USE MODI_ABOR1_SFX |
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| 106 | |
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| 107 | IMPLICIT NONE |
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| 108 | |
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| 109 | ! 0.1. Declarations of arguments |
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| 110 | |
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| 111 | REAL, DIMENSION(klon), INTENT(IN) :: PVMOD ! module of wind at atm level (m/s) |
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| 112 | REAL, DIMENSION(klon), INTENT(IN) :: PTA ! air temperature at atm level (K) |
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| 113 | REAL, DIMENSION(klon), INTENT(IN) :: PQA ! air spec. hum. at atm level (kg/kg) |
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| 114 | REAL, DIMENSION(klon), INTENT(IN) :: PQSAT ! sea surface spec. hum. (kg/kg) |
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| 115 | REAL, DIMENSION(klon), INTENT(IN) :: PPA ! air pressure at atm level (Pa) |
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| 116 | !REAL, DIMENSION(:), INTENT(IN) :: PRHOA ! air density at atm level (kg/m3) |
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| 117 | !REAL, DIMENSION(:), INTENT(IN) :: PEXNA ! Exner function at atm level |
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| 118 | REAL, DIMENSION(klon), INTENT(IN) :: PUREF ! atm level for wind (m) |
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| 119 | REAL, DIMENSION(klon), INTENT(IN) :: PZREF ! atm level for temp./hum. (m) |
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| 120 | REAL, DIMENSION(klon), INTENT(IN) :: PSSS ! Sea Surface Salinity (g/kg) |
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| 121 | REAL, DIMENSION(klon), INTENT(IN) :: PPS ! air pressure at sea surface (Pa) |
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| 122 | !REAL, DIMENSION(:), INTENT(IN) :: PEXNS ! Exner function at sea surface |
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| 123 | !REAL, DIMENSION(:), INTENT(IN) :: PPERTFLUX ! stochastic flux perturbation pattern |
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| 124 | ! for correction |
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| 125 | !REAL, INTENT(IN) :: PICHCE ! |
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| 126 | LOGICAL, INTENT(IN) :: OPRECIP ! |
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| 127 | LOGICAL, INTENT(IN) :: OPWEBB ! |
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| 128 | LOGICAL, INTENT(IN) :: OPERTFLUX |
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| 129 | REAL, DIMENSION(klon), INTENT(IN) :: PRAIN ! precipitation rate (kg/s/m2) |
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| 130 | |
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| 131 | !INTEGER, INTENT(IN) :: KZ0 |
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| 132 | |
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| 133 | REAL, DIMENSION(klon), INTENT(INOUT) :: PSST ! Sea Surface Temperature (K) |
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| 134 | REAL, DIMENSION(klon), INTENT(INOUT) :: PZ0SEA ! roughness length over sea |
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| 135 | REAL, DIMENSION(klon), INTENT(OUT) :: PZ0HSEA ! heat roughness length over sea |
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| 136 | |
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| 137 | ! surface fluxes : latent heat, sensible heat, friction fluxes |
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| 138 | REAL, DIMENSION(klon), INTENT(OUT) :: PUSTAR ! friction velocity (m/s) |
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| 139 | REAL, DIMENSION(klon), INTENT(OUT) :: PSFTH ! heat flux (W/m2) |
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| 140 | REAL, DIMENSION(klon), INTENT(OUT) :: PSFTQ ! water flux (kg/m2/s) |
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| 141 | |
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| 142 | ! diagnostics |
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| 143 | REAL, DIMENSION(klon), INTENT(OUT) :: PCD ! transfer coef. for momentum |
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| 144 | REAL, DIMENSION(klon), INTENT(OUT) :: PCH ! transfer coef. for temperature |
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| 145 | REAL, DIMENSION(klon), INTENT(OUT) :: PCE ! transfer coef. for humidity |
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| 146 | REAL, DIMENSION(klon), INTENT(OUT) :: PCDN ! neutral coef. for momentum |
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| 147 | REAL, DIMENSION(klon), INTENT(OUT) :: PRI ! Richardson number |
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| 148 | REAL, DIMENSION(klon), INTENT(OUT) :: PRESA ! aerodynamical resistance |
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| 149 | REAL, DIMENSION(3), INTENT(OUT) :: coeffs |
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| 150 | |
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| 151 | ! 0.2. Declarations of local variables |
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| 152 | |
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| 153 | ! specif SB |
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| 154 | INTEGER, DIMENSION(SIZE(PTA)) :: JCV ! convergence index |
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| 155 | INTEGER, DIMENSION(SIZE(PTA)) :: JITER ! nb of iterations to converge |
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| 156 | !rajout |
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| 157 | REAL, DIMENSION(SIZE(PTA)) :: PEXNA ! Exner function at atm level |
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| 158 | REAL, DIMENSION(SIZE(PTA)) :: PEXNS ! Exner function at atm level |
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| 159 | |
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| 160 | REAL, DIMENSION(SIZE(PTA)) :: ZTAU ! momentum flux (N/m2) |
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| 161 | REAL, DIMENSION(SIZE(PTA)) :: ZHF ! sensible heat flux (W/m2) |
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| 162 | REAL, DIMENSION(SIZE(PTA)) :: ZEF ! latent heat flux (W/m2) |
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| 163 | REAL, DIMENSION(SIZE(PTA)) :: ZTAUR ! momentum flx due to rain (N/m2) |
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| 164 | REAL, DIMENSION(SIZE(PTA)) :: ZRF ! sensible flx due to rain (W/m2) |
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| 165 | REAL, DIMENSION(SIZE(PTA)) :: ZEFWEBB ! Webb corr. on latent flx (W/m2) |
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| 166 | |
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| 167 | REAL, DIMENSION(SIZE(PTA)) :: ZVMOD ! wind intensity at atm level (m/s) |
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| 168 | REAL, DIMENSION(SIZE(PTA)) :: ZQSATA ! sat.spec.hum. at atm level (kg/kg) |
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| 169 | REAL, DIMENSION(SIZE(PTA)) :: ZLVA ! vap.heat of pure water at atm level (J/kg) |
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| 170 | REAL, DIMENSION(SIZE(PTA)) :: ZLVS ! vap.heat of seawater at sea surface (J/kg) |
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| 171 | REAL, DIMENSION(SIZE(PTA)) :: ZCPA ! specif.heat moist air (J/kg/K) |
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| 172 | REAL, DIMENSION(SIZE(PTA)) :: ZVISA ! kinemat.visc. of dry air (m2/s) |
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| 173 | REAL, DIMENSION(SIZE(PTA)) :: ZDU ! U vert.grad. (real atm) |
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| 174 | REAL, DIMENSION(SIZE(PTA)) :: ZDT, ZDQ ! T,Q vert.grad. (real atm) |
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| 175 | REAL, DIMENSION(SIZE(PTA)) :: ZDDU ! U vert.grad. (real atm + gust) |
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| 176 | REAL, DIMENSION(SIZE(PTA)) :: ZDDT, ZDDQ ! T,Q vert.grad. (real atm + WL/CS) |
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| 177 | REAL, DIMENSION(SIZE(PTA)) :: ZUSR ! velocity scaling param. (m/s) |
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| 178 | ! =friction velocity |
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| 179 | REAL, DIMENSION(SIZE(PTA)) :: ZTSR ! temperature scaling param. (K) |
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| 180 | REAL, DIMENSION(SIZE(PTA)) :: ZQSR ! humidity scaling param. (kg/kg) |
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| 181 | REAL, DIMENSION(SIZE(PTA)) :: ZDELTAU10N, ZDELTAT10N, ZDELTAQ10N |
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| 182 | ! U,T,Q vert.grad. (10m, neutral atm) |
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| 183 | REAL, DIMENSION(SIZE(PTA)) :: ZUSR0, ZTSR0, ZQSR0 ! ITERATIVE PROCESS |
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| 184 | REAL, DIMENSION(SIZE(PTA)) :: ZDUSTO, ZDTSTO, ZDQSTO ! ITERATIVE PROCESS |
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| 185 | REAL, DIMENSION(SIZE(PTA)) :: ZPSIU, ZPSIT! PSI funct for U, T/Q (Z0 comp) |
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| 186 | REAL, DIMENSION(SIZE(PTA)) :: ZCHARN ! Charnock parameter (Z0 comp) |
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| 187 | |
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| 188 | REAL, DIMENSION(SIZE(PTA)) :: ZUSTAR2 ! square of friction velocity |
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| 189 | REAL, DIMENSION(SIZE(PTA)) :: ZAC ! aerodynamical conductance |
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| 190 | REAL, DIMENSION(SIZE(PTA)) :: ZDIRCOSZW ! orography slope cosine |
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| 191 | ! (=1 on water!) |
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| 192 | REAL, DIMENSION(SIZE(PTA)) :: ZPARUN, ZPARTN, ZPARQN ! neutral parameter for U,T,Q |
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| 193 | |
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| 194 | !-- rajout pour la pression saturante |
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| 195 | REAL, DIMENSION(SIZE(PPA)) :: ZFOES ! [OPWEBB] |
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| 196 | REAL, DIMENSION(SIZE(PPA)) :: ZWORK1 |
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| 197 | REAL, DIMENSION(SIZE(PPA)) :: ZWORK2 |
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| 198 | REAL, DIMENSION(SIZE(PPS)) :: ZWORK1A |
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| 199 | REAL, DIMENSION(SIZE(PPS)) :: ZWORK2A |
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| 200 | !##################### |
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| 201 | |
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| 202 | REAL, DIMENSION(0:5) :: ZCOEFU, ZCOEFT, ZCOEFQ |
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| 203 | |
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| 204 | !--------- Modif Olive ----------------- |
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| 205 | REAL, DIMENSION(SIZE(PTA)) :: PRHOA |
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| 206 | REAL, PARAMETER :: XUNDEF = 1.E+20 |
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| 207 | |
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| 208 | REAL :: XVCHRNK = 0.021 |
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| 209 | REAL :: XVZ0CM = 1.0E-5 |
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| 210 | !REAL :: XRIMAX |
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| 211 | |
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| 212 | CHARACTER :: CCHARNOCK = 'NEW' |
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| 213 | |
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| 214 | |
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| 215 | !-------------------------------------- |
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| 216 | |
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| 217 | |
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| 218 | ! local constants |
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| 219 | LOGICAL :: OPCVFLX ! to force convergence |
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| 220 | INTEGER :: NITERMAX ! nb of iterations to get free convergence |
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| 221 | INTEGER :: NITERSUP ! nb of additional iterations if OPCVFLX=.TRUE. |
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| 222 | INTEGER :: NITERFL ! maximum number of iterations |
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| 223 | REAL :: ZETV, ZRDSRV ! thermodynamic constants |
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| 224 | REAL :: ZSQR3 |
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| 225 | REAL :: ZLMOMIN, ZLMOMAX ! min/max value of Obukhovs stability param. z/l |
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| 226 | REAL :: ZBTA, ZGMA ! parameters of the stability functions |
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| 227 | REAL :: ZDUSR0, ZDTSR0, ZDQSR0 ! maximum gap for USR/TSR/QSR between 2 steps |
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| 228 | REAL :: ZP00 ! [OPRECIP] - water vap. diffusiv.ref.press.(Pa) |
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| 229 | REAL :: ZUTU, ZUTT, ZUTQ ! U10n threshold in ECUME parameterisation |
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| 230 | REAL :: ZCDIRU, ZCDIRT, ZCDIRQ ! coef directeur pour fonction affine U,T,Q |
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| 231 | REAL :: ZORDOU, ZORDOT, ZORDOQ ! ordonnee a l'origine pour fonction affine U,T,Q |
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| 232 | |
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| 233 | INTEGER :: JJ ! for ITERATIVE PROCESS |
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| 234 | INTEGER :: JLON, JK |
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| 235 | REAL :: ZLMOU, ZLMOT ! Obukhovs param. z/l for U, T/Q |
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| 236 | REAL :: ZPSI_U, ZPSI_T ! PSI funct. for U, T/Q |
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| 237 | REAL :: Z0TSEA, Z0QSEA ! roughness length for T, Q |
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| 238 | REAL :: ZCHIC, ZCHIK, ZPSIC, ZPSIK, ZLOGUS10, ZLOGTS10 |
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| 239 | REAL :: ZTAC, ZCPWA, ZDQSDT, ZDWAT, ZDTMP, ZBULB ! [OPRECIP] |
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| 240 | REAL :: ZWW ! [OPWEBB] |
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| 241 | |
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| 242 | INTEGER :: PREF ! reference pressure for exner function |
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| 243 | REAL, DIMENSION(klon) :: PQSATA ! sea surface spec. hum. (kg/kg) |
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| 244 | |
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| 245 | REAL :: qsat_seawater2, qsat_seawater |
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| 246 | |
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| 247 | !REAL(KIND=JPRB) :: ZHOOK_HANDLE |
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| 248 | |
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| 249 | !------------------------------------------------------------------------------- |
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| 250 | !----------------------- Modif Olive calcul de PRHOA --------------------------- |
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| 251 | |
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| 252 | !WRITE(*,*) "PZ0SEA ",PZ0SEA |
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| 253 | !WRITE(*,*) "PTA ",PTA |
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| 254 | !WRITE(*,*) "PSST ",PSST |
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| 255 | !WRITE(*,*) "PQA ",PQA |
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| 256 | !WRITE(*,*) "PVMOD ",PVMOD |
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| 257 | !WRITE(*,*) "PZREF ",PZREF |
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| 258 | !WRITE(*,*) "PUREF ",PUREF |
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| 259 | !WRITE(*,*) "PPS ",PPS |
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| 260 | !WRITE(*,*) "PPA ",PPA |
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| 261 | !WRITE(*,*) "OPRECIP ",OPRECIP |
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| 262 | !WRITE(*,*) "PZ0HSEA ",PZ0HSEA |
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| 263 | !WRITE(*,*) "PRAIN ",PRAIN |
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| 264 | |
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| 265 | PRHOA(:) = PPS(:) / (287.1 * PTA(:) * (1. + .61 * PQA(:))) |
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| 266 | !WRITE(*,*) "klon klon ",klon,PTA |
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| 267 | !WRITE(*,*) "PRHOA ",SIZE(PRHOA),PRHOA |
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| 268 | |
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| 269 | PREF = 100900. ! = 1000 hPa |
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| 270 | |
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| 271 | !PEXNA = (PPA/PPS)**RKAPPA |
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| 272 | !PEXNS = (PPS/PPS)**RKAPPA |
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| 273 | |
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| 274 | PEXNA = (PPA / PREF)**(RD / RCPD) |
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| 275 | PEXNS = (PPS / PREF)**(RD / RCPD) |
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| 276 | |
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| 277 | !IF (LHOOK) CALL DR_HOOK('ECUMEV6_FLUX',0,ZHOOK_HANDLE) |
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| 278 | |
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| 279 | ZDUSR0 = 1.E-06 |
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| 280 | ZDTSR0 = 1.E-06 |
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| 281 | ZDQSR0 = 1.E-09 |
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| 282 | |
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| 283 | NITERMAX = 5 |
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| 284 | NITERSUP = 5 |
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| 285 | OPCVFLX = .TRUE. |
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| 286 | |
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| 287 | NITERFL = NITERMAX |
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| 288 | IF (OPCVFLX) NITERFL = NITERMAX + NITERSUP |
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| 289 | |
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| 290 | ZCOEFU = (/ 1.00E-03, 3.66E-02, -1.92E-03, 2.32E-04, -7.02E-06, 6.40E-08 /) |
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| 291 | ZCOEFT = (/ 5.36E-03, 2.90E-02, -1.24E-03, 4.50E-04, -2.06E-05, 0.0 /) |
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| 292 | ZCOEFQ = (/ 1.00E-03, 3.59E-02, -2.87E-04, 0.0, 0.0, 0.0 /) |
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| 293 | |
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| 294 | ZUTU = 40.0 |
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| 295 | ZUTT = 14.4 |
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| 296 | ZUTQ = 10.0 |
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| 297 | |
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| 298 | ZCDIRU = ZCOEFU(1) + 2.0 * ZCOEFU(2) * ZUTU + 3.0 * ZCOEFU(3) * ZUTU**2 & |
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| 299 | + 4.0 * ZCOEFU(4) * ZUTU**3 + 5.0 * ZCOEFU(5) * ZUTU**4 |
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| 300 | ZCDIRT = ZCOEFT(1) + 2.0 * ZCOEFT(2) * ZUTT + 3.0 * ZCOEFT(3) * ZUTT**2 & |
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| 301 | + 4.0 * ZCOEFT(4) * ZUTT**3 |
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| 302 | ZCDIRQ = ZCOEFQ(1) + 2.0 * ZCOEFQ(2) * ZUTQ |
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| 303 | |
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| 304 | ZORDOU = ZCOEFU(0) + ZCOEFU(1) * ZUTU + ZCOEFU(2) * ZUTU**2 + ZCOEFU(3) * ZUTU**3 & |
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| 305 | + ZCOEFU(4) * ZUTU**4 + ZCOEFU(5) * ZUTU**5 |
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| 306 | ZORDOT = ZCOEFT(0) + ZCOEFT(1) * ZUTT + ZCOEFT(2) * ZUTT**2 + ZCOEFT(3) * ZUTT**3 & |
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| 307 | + ZCOEFT(4) * ZUTT**4 |
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| 308 | ZORDOQ = ZCOEFQ(0) + ZCOEFQ(1) * ZUTQ + ZCOEFQ(2) * ZUTQ**2 |
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| 309 | |
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| 310 | !------------------------------------------------------------------------------- |
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| 311 | |
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| 312 | ! 1. AUXILIARY CONSTANTS & ARRAY INITIALISATION BY UNDEFINED VALUES. |
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| 313 | ! -------------------------------------------------------------------- |
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| 314 | |
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| 315 | ZDIRCOSZW(:) = 1.0 |
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| 316 | |
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| 317 | ZETV = XRV / XRD - 1.0 !~0.61 (cf Liu et al. 1979) |
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| 318 | ZRDSRV = XRD / XRV !~0.622 |
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| 319 | ZSQR3 = SQRT(3.0) |
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| 320 | ZLMOMIN = -200.0 |
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| 321 | ZLMOMAX = 0.25 |
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| 322 | ZBTA = 16.0 |
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| 323 | ZGMA = 7.0 !initially =4.7, modified to 7.0 following G. Caniaux |
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| 324 | |
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| 325 | ZP00 = 1013.25E+02 |
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| 326 | |
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| 327 | PCD = XUNDEF |
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| 328 | PCH = XUNDEF |
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| 329 | PCE = XUNDEF |
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| 330 | PCDN = XUNDEF |
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| 331 | ZUSR = XUNDEF |
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| 332 | ZTSR = XUNDEF |
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| 333 | ZQSR = XUNDEF |
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| 334 | ZTAU = XUNDEF |
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| 335 | ZHF = XUNDEF |
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| 336 | ZEF = XUNDEF |
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| 337 | |
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| 338 | PSFTH = XUNDEF |
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| 339 | PSFTQ = XUNDEF |
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| 340 | PUSTAR = XUNDEF |
|---|
| 341 | PRESA = XUNDEF |
|---|
| 342 | PRI = XUNDEF |
|---|
| 343 | |
|---|
| 344 | ZTAUR = 0.0 |
|---|
| 345 | ZRF = 0.0 |
|---|
| 346 | ZEFWEBB = 0.0 |
|---|
| 347 | |
|---|
| 348 | !------------------------------------------------------------------------------- |
|---|
| 349 | |
|---|
| 350 | ! 2. INITIALISATIONS BEFORE ITERATIVE LOOP. |
|---|
| 351 | ! ------------------------------------------- |
|---|
| 352 | |
|---|
| 353 | !ZVMOD(:) = WIND_THRESHOLD(PVMOD(:),PUREF(:)) !set a minimum value to wind |
|---|
| 354 | ZVMOD = MAX(PVMOD, 0.1 * MIN(10., PUREF)) !set a minimum value to wind |
|---|
| 355 | |
|---|
| 356 | WRITE(*, *) "ZVMOD ", SIZE(ZVMOD) |
|---|
| 357 | |
|---|
| 358 | ! 2.0. Radiative fluxes - For warm layer & cool skin |
|---|
| 359 | |
|---|
| 360 | ! 2.0b. Warm Layer correction |
|---|
| 361 | |
|---|
| 362 | ! 2.1. Specific humidity at saturation |
|---|
| 363 | |
|---|
| 364 | WHERE(PSSS(:)>0.0.AND.PSSS(:)/=XUNDEF) |
|---|
| 365 | PQSATA = QSAT_SEAWATER2 (PSST(:), PPS(:), PSSS(:)) !at sea surface |
|---|
| 366 | ELSEWHERE |
|---|
| 367 | PQSATA (:) = QSAT_SEAWATER (PSST(:), PPS(:)) !at sea surface |
|---|
| 368 | ENDWHERE |
|---|
| 369 | |
|---|
| 370 | !ZQSATA(:) = QSAT(PTA(:),PPA(:)) !at atm level |
|---|
| 371 | |
|---|
| 372 | !### OLIVIER POUR PRESSION SATURANTE ##### |
|---|
| 373 | !------------------------------------------------------------------------------- |
|---|
| 374 | |
|---|
| 375 | ZFOES = 1 !PSAT(PT(:)) |
|---|
| 376 | ZFOES = 0.98 * ZFOES |
|---|
| 377 | |
|---|
| 378 | ZWORK1 = ZFOES / PPS |
|---|
| 379 | ZWORK2 = XRD / XRV |
|---|
| 380 | |
|---|
| 381 | ZWORK1A = ZFOES / PPA |
|---|
| 382 | ZWORK2A = XRD / XRV |
|---|
| 383 | |
|---|
| 384 | !WRITE(*,*) "ZFOES ",ZFOES |
|---|
| 385 | !WRITE(*,*) "PPS ",PPS |
|---|
| 386 | !WRITE(*,*) "ZWORK1 ",ZWORK1 |
|---|
| 387 | !WRITE(*,*) "XRD ",XRD |
|---|
| 388 | !WRITE(*,*) "XRV ",XRV |
|---|
| 389 | !WRITE(*,*) "PPA ",PPA |
|---|
| 390 | !WRITE(*,*) "ZWORK1A ",ZWORK1A |
|---|
| 391 | |
|---|
| 392 | WRITE(*, *) "PQSAT : ", PQSAT |
|---|
| 393 | WRITE(*, *) "PQSATA : ", PQSATA |
|---|
| 394 | |
|---|
| 395 | !* 2. COMPUTE SATURATION HUMIDITY |
|---|
| 396 | ! --------------------------- |
|---|
| 397 | |
|---|
| 398 | !PQSAT = ZWORK2*ZWORK1 / (1.+(ZWORK2-1.)*ZWORK1) |
|---|
| 399 | !ZQSATA = ZWORK2A*ZWORK1A / (1.+(ZWORK2A-1.)*ZWORK1A) |
|---|
| 400 | ZQSATA = QSAT_SEAWATER (PTA(:), PPA(:)) !at sea surface |
|---|
| 401 | |
|---|
| 402 | ! 2.2. Gradients at the air-sea interface |
|---|
| 403 | |
|---|
| 404 | ZDU(:) = ZVMOD(:) !one assumes u is measured / sea surface current |
|---|
| 405 | ZDT(:) = PTA(:) / PEXNA(:) - PSST(:) / PEXNS(:) |
|---|
| 406 | ZDQ(:) = PQA(:) - PQSATA(:) |
|---|
| 407 | |
|---|
| 408 | WRITE(*, *) "PQA ", PQA(:) |
|---|
| 409 | WRITE(*, *) "PQSAT", PQSAT(:) |
|---|
| 410 | WRITE(*, *) "ZDQ", ZDQ(:) |
|---|
| 411 | |
|---|
| 412 | ! 2.3. Latent heat of vaporisation |
|---|
| 413 | |
|---|
| 414 | ZLVA(:) = XLVTT + (XCPV - XCL) * (PTA (:) - XTT) !of pure water at atm level |
|---|
| 415 | ZLVS(:) = XLVTT + (XCPV - XCL) * (PSST(:) - XTT) !of pure water at sea surface |
|---|
| 416 | |
|---|
| 417 | WRITE(*, *) "ZLVA ", ZLVA |
|---|
| 418 | WRITE(*, *) "ZLVS ", ZLVS |
|---|
| 419 | |
|---|
| 420 | WHERE(PSSS(:)>0.0.AND.PSSS(:)/=XUNDEF) |
|---|
| 421 | ZLVS(:) = ZLVS(:) * (1.0 - 1.00472E-3 * PSSS(:)) !of seawater at sea surface |
|---|
| 422 | ENDWHERE |
|---|
| 423 | |
|---|
| 424 | ! 2.4. Specific heat of moist air (Businger 1982) |
|---|
| 425 | |
|---|
| 426 | !ZCPA(:) = XCPD*(1.0+(XCPV/XCPD-1.0)*PQA(:)) |
|---|
| 427 | ZCPA(:) = XCPD |
|---|
| 428 | |
|---|
| 429 | ! 2.4b Kinematic viscosity of dry air (Andreas 1989, CRREL Rep. 89-11) |
|---|
| 430 | |
|---|
| 431 | ZVISA(:) = 1.326E-05 * (1.0 + 6.542E-03 * (PTA(:) - XTT) + 8.301E-06 * (PTA(:) - XTT)**2 & |
|---|
| 432 | - 4.84E-09 * (PTA(:) - XTT)**3) |
|---|
| 433 | |
|---|
| 434 | ! 2.4c Coefficients for warm layer and/or cool skin correction |
|---|
| 435 | |
|---|
| 436 | ! 2.5. Initial guess |
|---|
| 437 | |
|---|
| 438 | ZDDU(:) = ZDU(:) |
|---|
| 439 | ZDDT(:) = ZDT(:) |
|---|
| 440 | ZDDQ(:) = ZDQ(:) |
|---|
| 441 | ZDDU(:) = SIGN(MAX(ABS(ZDDU(:)), 10.0 * ZDUSR0), ZDDU(:)) |
|---|
| 442 | ZDDT(:) = SIGN(MAX(ABS(ZDDT(:)), 10.0 * ZDTSR0), ZDDT(:)) |
|---|
| 443 | ZDDQ(:) = SIGN(MAX(ABS(ZDDQ(:)), 10.0 * ZDQSR0), ZDDQ(:)) |
|---|
| 444 | |
|---|
| 445 | WRITE(*, *) "ZDDU ", ZDDU |
|---|
| 446 | WRITE(*, *) "ZDDQ ", ZDDQ |
|---|
| 447 | WRITE(*, *) "ZDDT ", ZDDT |
|---|
| 448 | |
|---|
| 449 | JCV (:) = -1 |
|---|
| 450 | ZUSR(:) = 0.04 * ZDDU(:) |
|---|
| 451 | ZTSR(:) = 0.04 * ZDDT(:) |
|---|
| 452 | ZQSR(:) = 0.04 * ZDDQ(:) |
|---|
| 453 | ZDELTAU10N(:) = ZDDU(:) |
|---|
| 454 | ZDELTAT10N(:) = ZDDT(:) |
|---|
| 455 | ZDELTAQ10N(:) = ZDDQ(:) |
|---|
| 456 | JITER(:) = 99 |
|---|
| 457 | |
|---|
| 458 | ! In the following, we suppose that Richardson number PRI < XRIMAX |
|---|
| 459 | ! If not true, Monin-Obukhov theory can't (and therefore shouldn't) be applied ! |
|---|
| 460 | !------------------------------------------------------------------------------- |
|---|
| 461 | |
|---|
| 462 | ! 3. ITERATIVE LOOP TO COMPUTE U*, T*, Q*. |
|---|
| 463 | ! ------------------------------------------ |
|---|
| 464 | |
|---|
| 465 | DO JJ = 1, NITERFL |
|---|
| 466 | DO JLON = 1, SIZE(PTA) |
|---|
| 467 | |
|---|
| 468 | IF (JCV(JLON) == -1) THEN |
|---|
| 469 | ZUSR0(JLON) = ZUSR(JLON) |
|---|
| 470 | ZTSR0(JLON) = ZTSR(JLON) |
|---|
| 471 | ZQSR0(JLON) = ZQSR(JLON) |
|---|
| 472 | IF (JJ == NITERMAX + 1 .OR. JJ == NITERMAX + NITERSUP) THEN |
|---|
| 473 | ZDELTAU10N(JLON) = 0.5 * (ZDUSTO(JLON) + ZDELTAU10N(JLON)) !forced convergence |
|---|
| 474 | ZDELTAT10N(JLON) = 0.5 * (ZDTSTO(JLON) + ZDELTAT10N(JLON)) |
|---|
| 475 | ZDELTAQ10N(JLON) = 0.5 * (ZDQSTO(JLON) + ZDELTAQ10N(JLON)) |
|---|
| 476 | IF (JJ == NITERMAX + NITERSUP) JCV(JLON) = 3 |
|---|
| 477 | ENDIF |
|---|
| 478 | ZDUSTO(JLON) = ZDELTAU10N(JLON) |
|---|
| 479 | ZDTSTO(JLON) = ZDELTAT10N(JLON) |
|---|
| 480 | ZDQSTO(JLON) = ZDELTAQ10N(JLON) |
|---|
| 481 | |
|---|
| 482 | ! 3.1. Neutral parameter for wind speed (ECUME_V6 formulation) |
|---|
| 483 | |
|---|
| 484 | IF (ZDELTAU10N(JLON) <= ZUTU) THEN |
|---|
| 485 | ZPARUN(JLON) = ZCOEFU(0) + ZCOEFU(1) * ZDELTAU10N(JLON) & |
|---|
| 486 | + ZCOEFU(2) * ZDELTAU10N(JLON)**2 & |
|---|
| 487 | + ZCOEFU(3) * ZDELTAU10N(JLON)**3 & |
|---|
| 488 | + ZCOEFU(4) * ZDELTAU10N(JLON)**4 & |
|---|
| 489 | + ZCOEFU(5) * ZDELTAU10N(JLON)**5 |
|---|
| 490 | ELSE |
|---|
| 491 | ZPARUN(JLON) = ZCDIRU * (ZDELTAU10N(JLON) - ZUTU) + ZORDOU |
|---|
| 492 | ENDIF |
|---|
| 493 | PCDN(JLON) = (ZPARUN(JLON) / ZDELTAU10N(JLON))**2 |
|---|
| 494 | |
|---|
| 495 | ! 3.2. Neutral parameter for temperature (ECUME_V6 formulation) |
|---|
| 496 | |
|---|
| 497 | IF (ZDELTAU10N(JLON) <= ZUTT) THEN |
|---|
| 498 | ZPARTN(JLON) = ZCOEFT(0) + ZCOEFT(1) * ZDELTAU10N(JLON) & |
|---|
| 499 | + ZCOEFT(2) * ZDELTAU10N(JLON)**2 & |
|---|
| 500 | + ZCOEFT(3) * ZDELTAU10N(JLON)**3 & |
|---|
| 501 | + ZCOEFT(4) * ZDELTAU10N(JLON)**4 |
|---|
| 502 | ELSE |
|---|
| 503 | ZPARTN(JLON) = ZCDIRT * (ZDELTAU10N(JLON) - ZUTT) + ZORDOT |
|---|
| 504 | ENDIF |
|---|
| 505 | |
|---|
| 506 | ! 3.3. Neutral parameter for humidity (ECUME_V6 formulation) |
|---|
| 507 | |
|---|
| 508 | IF (ZDELTAU10N(JLON) <= ZUTQ) THEN |
|---|
| 509 | ZPARQN(JLON) = ZCOEFQ(0) + ZCOEFQ(1) * ZDELTAU10N(JLON) & |
|---|
| 510 | + ZCOEFQ(2) * ZDELTAU10N(JLON)**2 |
|---|
| 511 | ELSE |
|---|
| 512 | ZPARQN(JLON) = ZCDIRQ * (ZDELTAU10N(JLON) - ZUTQ) + ZORDOQ |
|---|
| 513 | ENDIF |
|---|
| 514 | |
|---|
| 515 | ! 3.4. Scaling parameters U*, T*, Q* |
|---|
| 516 | |
|---|
| 517 | ZUSR(JLON) = ZPARUN(JLON) |
|---|
| 518 | ZTSR(JLON) = ZPARTN(JLON) * ZDELTAT10N(JLON) / ZDELTAU10N(JLON) |
|---|
| 519 | ZQSR(JLON) = ZPARQN(JLON) * ZDELTAQ10N(JLON) / ZDELTAU10N(JLON) |
|---|
| 520 | |
|---|
| 521 | ! 3.4b Gustiness factor (Deardorff 1970) |
|---|
| 522 | |
|---|
| 523 | ! 3.4c Cool skin correction |
|---|
| 524 | |
|---|
| 525 | ! 3.5. Obukhovs stability param. z/l following Liu et al. (JAS, 1979) |
|---|
| 526 | |
|---|
| 527 | ! For U |
|---|
| 528 | ZLMOU = PUREF(JLON) * XG * XKARMAN * (ZTSR(JLON) / PTA(JLON) & |
|---|
| 529 | + ZETV * ZQSR(JLON) / (1.0 + ZETV * PQA(JLON))) / ZUSR(JLON)**2 |
|---|
| 530 | ! For T/Q |
|---|
| 531 | ZLMOT = ZLMOU * (PZREF(JLON) / PUREF(JLON)) |
|---|
| 532 | ZLMOU = MAX(MIN(ZLMOU, ZLMOMAX), ZLMOMIN) |
|---|
| 533 | ZLMOT = MAX(MIN(ZLMOT, ZLMOMAX), ZLMOMIN) |
|---|
| 534 | |
|---|
| 535 | ! 3.6. Stability function psi (see Liu et al, 1979 ; Dyer and Hicks, 1970) |
|---|
| 536 | ! Modified to include convective form following Fairall (unpublished) |
|---|
| 537 | |
|---|
| 538 | ! For U |
|---|
| 539 | IF (ZLMOU == 0.0) THEN |
|---|
| 540 | ZPSI_U = 0.0 |
|---|
| 541 | ELSEIF (ZLMOU > 0.0) THEN |
|---|
| 542 | ZPSI_U = -ZGMA * ZLMOU |
|---|
| 543 | ELSE |
|---|
| 544 | ZCHIK = (1.0 - ZBTA * ZLMOU)**0.25 |
|---|
| 545 | ZPSIK = 2.0 * LOG((1.0 + ZCHIK) / 2.0) & |
|---|
| 546 | + LOG((1.0 + ZCHIK**2) / 2.0) & |
|---|
| 547 | - 2.0 * ATAN(ZCHIK) + 0.5 * XPI |
|---|
| 548 | ZCHIC = (1.0 - 12.87 * ZLMOU)**(1.0 / 3.0) !for very unstable conditions |
|---|
| 549 | ZPSIC = 1.5 * LOG((ZCHIC**2 + ZCHIC + 1.0) / 3.0) & |
|---|
| 550 | - ZSQR3 * ATAN((2.0 * ZCHIC + 1.0) / ZSQR3) & |
|---|
| 551 | + XPI / ZSQR3 |
|---|
| 552 | ZPSI_U = ZPSIC + (ZPSIK - ZPSIC) / (1.0 + ZLMOU**2) !match Kansas & free-conv. forms |
|---|
| 553 | ENDIF |
|---|
| 554 | ZPSIU(JLON) = ZPSI_U |
|---|
| 555 | ! For T/Q |
|---|
| 556 | IF (ZLMOT == 0.0) THEN |
|---|
| 557 | ZPSI_T = 0.0 |
|---|
| 558 | ELSEIF (ZLMOT > 0.0) THEN |
|---|
| 559 | ZPSI_T = -ZGMA * ZLMOT |
|---|
| 560 | ELSE |
|---|
| 561 | ZCHIK = (1.0 - ZBTA * ZLMOT)**0.25 |
|---|
| 562 | ZPSIK = 2.0 * LOG((1.0 + ZCHIK**2) / 2.0) |
|---|
| 563 | ZCHIC = (1.0 - 12.87 * ZLMOT)**(1.0 / 3.0) !for very unstable conditions |
|---|
| 564 | ZPSIC = 1.5 * LOG((ZCHIC**2 + ZCHIC + 1.0) / 3.0) & |
|---|
| 565 | - ZSQR3 * ATAN((2.0 * ZCHIC + 1.0) / ZSQR3) & |
|---|
| 566 | + XPI / ZSQR3 |
|---|
| 567 | ZPSI_T = ZPSIC + (ZPSIK - ZPSIC) / (1.0 + ZLMOT**2) !match Kansas & free-conv. forms |
|---|
| 568 | ENDIF |
|---|
| 569 | ZPSIT(JLON) = ZPSI_T |
|---|
| 570 | |
|---|
| 571 | ! 3.7. Update air-sea gradients |
|---|
| 572 | |
|---|
| 573 | ZDDU(JLON) = ZDU(JLON) |
|---|
| 574 | ZDDT(JLON) = ZDT(JLON) |
|---|
| 575 | ZDDQ(JLON) = ZDQ(JLON) |
|---|
| 576 | ZDDU(JLON) = SIGN(MAX(ABS(ZDDU(JLON)), 10.0 * ZDUSR0), ZDDU(JLON)) |
|---|
| 577 | ZDDT(JLON) = SIGN(MAX(ABS(ZDDT(JLON)), 10.0 * ZDTSR0), ZDDT(JLON)) |
|---|
| 578 | ZDDQ(JLON) = SIGN(MAX(ABS(ZDDQ(JLON)), 10.0 * ZDQSR0), ZDDQ(JLON)) |
|---|
| 579 | ZLOGUS10 = LOG(PUREF(JLON) / 10.0) |
|---|
| 580 | ZLOGTS10 = LOG(PZREF(JLON) / 10.0) |
|---|
| 581 | ZDELTAU10N(JLON) = ZDDU(JLON) - ZUSR(JLON) * (ZLOGUS10 - ZPSI_U) / XKARMAN |
|---|
| 582 | ZDELTAT10N(JLON) = ZDDT(JLON) - ZTSR(JLON) * (ZLOGTS10 - ZPSI_T) / XKARMAN |
|---|
| 583 | ZDELTAQ10N(JLON) = ZDDQ(JLON) - ZQSR(JLON) * (ZLOGTS10 - ZPSI_T) / XKARMAN |
|---|
| 584 | ZDELTAU10N(JLON) = SIGN(MAX(ABS(ZDELTAU10N(JLON)), 10.0 * ZDUSR0), & |
|---|
| 585 | ZDELTAU10N(JLON)) |
|---|
| 586 | ZDELTAT10N(JLON) = SIGN(MAX(ABS(ZDELTAT10N(JLON)), 10.0 * ZDTSR0), & |
|---|
| 587 | ZDELTAT10N(JLON)) |
|---|
| 588 | ZDELTAQ10N(JLON) = SIGN(MAX(ABS(ZDELTAQ10N(JLON)), 10.0 * ZDQSR0), & |
|---|
| 589 | ZDELTAQ10N(JLON)) |
|---|
| 590 | |
|---|
| 591 | ! 3.8. Test convergence for U*, T*, Q* |
|---|
| 592 | |
|---|
| 593 | IF (ABS(ZUSR(JLON) - ZUSR0(JLON)) < ZDUSR0 .AND. & |
|---|
| 594 | ABS(ZTSR(JLON) - ZTSR0(JLON)) < ZDTSR0 .AND. & |
|---|
| 595 | ABS(ZQSR(JLON) - ZQSR0(JLON)) < ZDQSR0) THEN |
|---|
| 596 | JCV(JLON) = 1 !free convergence |
|---|
| 597 | IF (JJ >= NITERMAX + 1) JCV(JLON) = 2 !leaded convergence |
|---|
| 598 | ENDIF |
|---|
| 599 | JITER(JLON) = JJ |
|---|
| 600 | ENDIF |
|---|
| 601 | |
|---|
| 602 | ENDDO |
|---|
| 603 | ENDDO |
|---|
| 604 | |
|---|
| 605 | !------------------------------------------------------------------------------- |
|---|
| 606 | |
|---|
| 607 | ! 4. COMPUTATION OF TURBULENT FLUXES AND EXCHANGE COEFFICIENTS. |
|---|
| 608 | ! --------------------------------------------------------------- |
|---|
| 609 | |
|---|
| 610 | DO JLON = 1, SIZE(PTA) |
|---|
| 611 | |
|---|
| 612 | ! 4.1. Surface turbulent fluxes |
|---|
| 613 | ! (ATM CONV.: ZTAU<<0 ; ZHF,ZEF<0 if atm looses heat) |
|---|
| 614 | |
|---|
| 615 | ZTAU(JLON) = -PRHOA(JLON) * ZUSR(JLON)**2 |
|---|
| 616 | ZHF(JLON) = -PRHOA(JLON) * ZCPA(JLON) * ZUSR(JLON) * ZTSR(JLON) |
|---|
| 617 | ZEF(JLON) = -PRHOA(JLON) * ZLVS(JLON) * ZUSR(JLON) * ZQSR(JLON) |
|---|
| 618 | |
|---|
| 619 | WRITE(*, *) "ZTAU = ", ZTAU(JLON) |
|---|
| 620 | WRITE(*, *) "SENS = ", ZHF(JLON) |
|---|
| 621 | WRITE(*, *) "LAT = ", ZEF(JLON) |
|---|
| 622 | |
|---|
| 623 | ! 4.2. Exchange coefficients PCD, PCH, PCE |
|---|
| 624 | |
|---|
| 625 | PCD(JLON) = (ZUSR(JLON) / ZDDU(JLON))**2 |
|---|
| 626 | PCH(JLON) = (ZUSR(JLON) * ZTSR(JLON)) / (ZDDU(JLON) * ZDDT(JLON)) |
|---|
| 627 | PCE(JLON) = (ZUSR(JLON) * ZQSR(JLON)) / (ZDDU(JLON) * ZDDQ(JLON)) |
|---|
| 628 | |
|---|
| 629 | WRITE(*, *) "ZUSR = ", ZUSR(JLON) |
|---|
| 630 | WRITE(*, *) "ZTSR = ", ZTSR(JLON) |
|---|
| 631 | WRITE(*, *) "ZQSR = ", ZQSR(JLON) |
|---|
| 632 | |
|---|
| 633 | ! 4.3. Stochastic perturbation of turbulent fluxes |
|---|
| 634 | |
|---|
| 635 | ! IF( OPERTFLUX )THEN |
|---|
| 636 | ! ZTAU(JLON) = ZTAU(JLON)* ( 1. + PPERTFLUX(JLON) / 2. ) |
|---|
| 637 | ! ZHF (JLON) = ZHF(JLON)* ( 1. + PPERTFLUX(JLON) / 2. ) |
|---|
| 638 | ! ZEF (JLON) = ZEF(JLON)* ( 1. + PPERTFLUX(JLON) / 2. ) |
|---|
| 639 | ! ENDIF |
|---|
| 640 | |
|---|
| 641 | ENDDO |
|---|
| 642 | |
|---|
| 643 | !------------------------------------------------------------------------------- |
|---|
| 644 | |
|---|
| 645 | ! 5. COMPUTATION OF FLUX CORRECTIONS DUE TO RAINFALL. |
|---|
| 646 | ! (ATM conv: ZRF<0 if atm. looses heat, ZTAUR<<0) |
|---|
| 647 | ! ----------------------------------------------------- |
|---|
| 648 | |
|---|
| 649 | IF (OPRECIP) THEN |
|---|
| 650 | DO JLON = 1, SIZE(PTA) |
|---|
| 651 | |
|---|
| 652 | ! 5.1. Momentum flux due to rainfall (ZTAUR, N/m2) |
|---|
| 653 | |
|---|
| 654 | ! See pp3752 in FBR96. |
|---|
| 655 | ZTAUR(JLON) = -0.85 * PRAIN(JLON) * PVMOD(JLON) |
|---|
| 656 | |
|---|
| 657 | ! 5.2. Sensible heat flux due to rainfall (ZRF, W/m2) |
|---|
| 658 | |
|---|
| 659 | ! See Eq.12 in GoF95 with ZCPWA as specific heat of water at atm level (J/kg/K), |
|---|
| 660 | ! ZDQSDT from Clausius-Clapeyron relation, ZDWAT as water vapor diffusivity |
|---|
| 661 | ! (Eq.13-3 of Pruppacher and Klett, 1978), ZDTMP as heat diffusivity, and ZBULB |
|---|
| 662 | ! as wet-bulb factor (Eq.11 in GoF95). |
|---|
| 663 | |
|---|
| 664 | ZTAC = PTA(JLON) - XTT |
|---|
| 665 | ZCPWA = 4217.51 - 3.65566 * ZTAC + 0.1381 * ZTAC**2 & |
|---|
| 666 | - 2.8309E-03 * ZTAC**3 + 3.42061E-05 * ZTAC**4 & |
|---|
| 667 | - 2.18107E-07 * ZTAC**5 + 5.74535E-10 * ZTAC**6 |
|---|
| 668 | ZDQSDT = (ZLVA(JLON) * ZQSATA(JLON)) / (XRV * PTA(JLON)**2) |
|---|
| 669 | ZDWAT = 2.11E-05 * (ZP00 / PPA(JLON)) * (PTA(JLON) / XTT)**1.94 |
|---|
| 670 | ZDTMP = (1.0 + 3.309E-03 * ZTAC - 1.44E-06 * ZTAC**2) & |
|---|
| 671 | * 0.02411 / (PRHOA(JLON) * ZCPA(JLON)) |
|---|
| 672 | ZBULB = 1.0 / (1.0 + ZDQSDT * (ZLVA(JLON) * ZDWAT) / (ZCPA(JLON) * ZDTMP)) |
|---|
| 673 | ZRF(JLON) = PRAIN(JLON) * ZCPWA * ZBULB * ((PSST(JLON) - PTA(JLON)) & |
|---|
| 674 | + (PQSATA(JLON) - PQA(JLON)) * (ZLVA(JLON) * ZDWAT) / (ZCPA(JLON) * ZDTMP)) |
|---|
| 675 | |
|---|
| 676 | ENDDO |
|---|
| 677 | ENDIF |
|---|
| 678 | |
|---|
| 679 | !------------------------------------------------------------------------------- |
|---|
| 680 | |
|---|
| 681 | ! 6. COMPUTATION OF WEBB CORRECTION TO LATENT HEAT FLUX (ZEFWEBB, W/m2). |
|---|
| 682 | ! ------------------------------------------------------------------------ |
|---|
| 683 | |
|---|
| 684 | ! See Eq.21 and Eq.22 in FBR96. |
|---|
| 685 | IF (OPWEBB) THEN |
|---|
| 686 | DO JLON = 1, SIZE(PTA) |
|---|
| 687 | ZWW = (1.0 + ZETV) * (ZUSR(JLON) * ZQSR(JLON)) & |
|---|
| 688 | + (1.0 + (1.0 + ZETV) * PQA(JLON)) * (ZUSR(JLON) * ZTSR(JLON)) / PTA(JLON) |
|---|
| 689 | ZEFWEBB(JLON) = -PRHOA(JLON) * ZLVS(JLON) * ZWW * PQA(JLON) |
|---|
| 690 | ENDDO |
|---|
| 691 | ENDIF |
|---|
| 692 | |
|---|
| 693 | !------------------------------------------------------------------------------- |
|---|
| 694 | |
|---|
| 695 | ! 7. FINAL STEP : TOTAL SURFACE FLUXES AND DERIVED DIAGNOSTICS. |
|---|
| 696 | ! --------------------------------------------------------------- |
|---|
| 697 | |
|---|
| 698 | ! 7.1. Richardson number |
|---|
| 699 | |
|---|
| 700 | ! CALL SURFACE_RI(PSST,PQSAT,PEXNS,PEXNA,PTA,PQA, & |
|---|
| 701 | ! PZREF,PUREF,ZDIRCOSZW,PVMOD,PRI) |
|---|
| 702 | |
|---|
| 703 | ! 7.2. Friction velocity which contains correction due to rain |
|---|
| 704 | |
|---|
| 705 | ZUSTAR2(:) = -(ZTAU(:) + ZTAUR(:)) / PRHOA(:) !>>0 as ZTAU<<0 & ZTAUR<=0 |
|---|
| 706 | |
|---|
| 707 | IF (OPRECIP) THEN |
|---|
| 708 | PCD(:) = ZUSTAR2(:) / ZDDU(:)**2 |
|---|
| 709 | ENDIF |
|---|
| 710 | |
|---|
| 711 | PUSTAR(:) = SQRT(ZUSTAR2(:)) !>>0 |
|---|
| 712 | |
|---|
| 713 | ! 7.3. Aerodynamical conductance and resistance |
|---|
| 714 | |
|---|
| 715 | ZAC (:) = PCH(:) * ZDDU(:) |
|---|
| 716 | PRESA(:) = 1.0 / ZAC(:) |
|---|
| 717 | |
|---|
| 718 | ! 7.4. Total surface fluxes |
|---|
| 719 | |
|---|
| 720 | PSFTH(:) = ZHF(:) + ZRF(:) |
|---|
| 721 | PSFTQ(:) = (ZEF(:) + ZEFWEBB(:)) / ZLVS(:) |
|---|
| 722 | |
|---|
| 723 | ! 7.5. Charnock number |
|---|
| 724 | |
|---|
| 725 | IF (CCHARNOCK == 'OLD') THEN |
|---|
| 726 | ZCHARN(:) = XVCHRNK |
|---|
| 727 | ELSE !modified for moderate wind speed as in COARE3.0 |
|---|
| 728 | ZCHARN(:) = MIN(0.018, MAX(0.011, 0.011 + (0.007 / 8.0) * (ZDDU(:) - 10.0))) |
|---|
| 729 | ENDIF |
|---|
| 730 | |
|---|
| 731 | ! 7.6. Roughness lengths Z0 and Z0H over sea |
|---|
| 732 | |
|---|
| 733 | !IF (KZ0 == 0) THEN ! ARPEGE formulation |
|---|
| 734 | ! PZ0SEA (:) = (ZCHARN(:)/XG)*ZUSTAR2(:) + XVZ0CM*PCD(:)/PCDN(:) |
|---|
| 735 | ! PZ0HSEA(:) = PZ0SEA (:) |
|---|
| 736 | !ELSEIF (KZ0 == 1) THEN ! Smith (1988) formulation |
|---|
| 737 | ! PZ0SEA (:) = (ZCHARN(:)/XG)*ZUSTAR2(:) + 0.11*ZVISA(:)/PUSTAR(:) |
|---|
| 738 | ! PZ0HSEA(:) = PZ0SEA (:) |
|---|
| 739 | !ELSEIF (KZ0 == 2) THEN ! Direct computation using the stability functions |
|---|
| 740 | ! DO JLON=1,SIZE(PTA) |
|---|
| 741 | ! PZ0SEA (JLON) = PUREF(JLON)/EXP(XKARMAN*ZDDU(JLON)/PUSTAR(JLON)+ZPSIU(JLON)) |
|---|
| 742 | ! Z0TSEA = PZREF(JLON)/EXP(XKARMAN*ZDDT(JLON)/ZTSR (JLON)+ZPSIT(JLON)) |
|---|
| 743 | ! Z0QSEA = PZREF(JLON)/EXP(XKARMAN*ZDDQ(JLON)/ZQSR (JLON)+ZPSIT(JLON)) |
|---|
| 744 | ! PZ0HSEA(JLON) = 0.5*(Z0TSEA+Z0QSEA) |
|---|
| 745 | ! ENDDO |
|---|
| 746 | !ENDIF |
|---|
| 747 | |
|---|
| 748 | WRITE(*, *) "JLON ", JLON |
|---|
| 749 | WRITE(*, *) "PTA ", klon, PTA |
|---|
| 750 | WRITE(*, *) "PCD ", SIZE(PCD), PCD |
|---|
| 751 | WRITE(*, *) "PCQ ", SIZE(PCE), PCE |
|---|
| 752 | WRITE(*, *) "PCH ", SIZE(PCH), PCH |
|---|
| 753 | |
|---|
| 754 | coeffs = [PCD, & |
|---|
| 755 | PCE, & |
|---|
| 756 | PCH] |
|---|
| 757 | |
|---|
| 758 | |
|---|
| 759 | !IF (LHOOK) CALL DR_HOOK('ECUMEV6_FLUX',1,ZHOOK_HANDLE) |
|---|
| 760 | |
|---|
| 761 | !------------------------------------------------------------------------------- |
|---|
| 762 | END SUBROUTINE ECUMEV6_FLUX |
|---|
