| 1 | module FLOTT_GWD_rando_m |
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| 2 | |
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| 3 | implicit none |
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| 4 | |
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| 5 | contains |
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| 6 | |
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| 7 | SUBROUTINE FLOTT_GWD_rando(DTIME, pp, tt, uu, vv, prec, zustr, zvstr, d_u, & |
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| 8 | d_v,east_gwstress,west_gwstress) |
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| 9 | |
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| 10 | ! Parametrization of the momentum flux deposition due to a discrete |
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| 11 | ! number of gravity waves. |
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| 12 | ! Author: F. Lott |
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| 13 | ! July, 12th, 2012 |
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| 14 | ! Gaussian distribution of the source, source is precipitation |
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| 15 | ! Reference: Lott (JGR, vol 118, page 8897, 2013) |
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| 16 | |
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| 17 | !ONLINE: |
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| 18 | use dimphy, only: klon, klev |
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| 19 | use assert_m, only: assert |
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| 20 | USE ioipsl_getin_p_mod, ONLY : getin_p |
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| 21 | USE vertical_layers_mod, ONLY : presnivs |
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| 22 | |
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| 23 | include "YOMCST.h" |
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| 24 | include "clesphys.h" |
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| 25 | ! OFFLINE: |
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| 26 | ! include "dimensions.h" |
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| 27 | ! include "dimphy.h" |
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| 28 | ! END OF DIFFERENCE ONLINE-OFFLINE |
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| 29 | include "YOEGWD.h" |
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| 30 | |
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| 31 | ! 0. DECLARATIONS: |
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| 32 | |
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| 33 | ! 0.1 INPUTS |
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| 34 | REAL, intent(in)::DTIME ! Time step of the Physics |
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| 35 | REAL, intent(in):: pp(:, :) ! (KLON, KLEV) Pressure at full levels |
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| 36 | REAL, intent(in):: prec(:) ! (klon) Precipitation (kg/m^2/s) |
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| 37 | REAL, intent(in):: TT(:, :) ! (KLON, KLEV) Temp at full levels |
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| 38 | REAL, intent(in):: UU(:, :) ! (KLON, KLEV) Zonal wind at full levels |
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| 39 | REAL, intent(in):: VV(:, :) ! (KLON, KLEV) Merid wind at full levels |
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| 40 | |
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| 41 | ! 0.2 OUTPUTS |
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| 42 | REAL, intent(out):: zustr(:), zvstr(:) ! (KLON) Surface Stresses |
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| 43 | |
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| 44 | REAL, intent(inout):: d_u(:, :), d_v(:, :) |
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| 45 | REAL, intent(inout):: east_gwstress(:, :) ! Profile of eastward stress |
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| 46 | REAL, intent(inout):: west_gwstress(:, :) ! Profile of westward stress |
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| 47 | |
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| 48 | ! (KLON, KLEV) tendencies on winds |
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| 49 | |
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| 50 | ! O.3 INTERNAL ARRAYS |
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| 51 | REAL BVLOW(klon) |
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| 52 | REAL DZ ! Characteristic depth of the Source |
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| 53 | |
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| 54 | INTEGER II, JJ, LL |
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| 55 | |
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| 56 | ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED |
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| 57 | |
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| 58 | REAL DELTAT |
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| 59 | |
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| 60 | ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS |
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| 61 | |
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| 62 | INTEGER, PARAMETER:: NK = 2, NP = 2, NO = 2, NW = NK * NP * NO |
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| 63 | INTEGER JK, JP, JO, JW |
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| 64 | INTEGER, PARAMETER:: NA = 5 !number of realizations to get the phase speed |
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| 65 | REAL KMIN, KMAX ! Min and Max horizontal wavenumbers |
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| 66 | REAL CMAX ! standard deviation of the phase speed distribution |
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| 67 | REAL RUWMAX,SAT ! ONLINE SPECIFIED IN run.def |
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| 68 | REAL CPHA ! absolute PHASE VELOCITY frequency |
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| 69 | REAL ZK(NW, KLON) ! Horizontal wavenumber amplitude |
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| 70 | REAL ZP(NW, KLON) ! Horizontal wavenumber angle |
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| 71 | REAL ZO(NW, KLON) ! Absolute frequency ! |
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| 72 | |
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| 73 | ! Waves Intr. freq. at the 1/2 lev surrounding the full level |
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| 74 | REAL ZOM(NW, KLON), ZOP(NW, KLON) |
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| 75 | |
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| 76 | ! Wave EP-fluxes at the 2 semi levels surrounding the full level |
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| 77 | REAL WWM(NW, KLON), WWP(NW, KLON) |
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| 78 | |
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| 79 | REAL RUW0(NW, KLON) ! Fluxes at launching level |
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| 80 | |
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| 81 | REAL RUWP(NW, KLON), RVWP(NW, KLON) |
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| 82 | ! Fluxes X and Y for each waves at 1/2 Levels |
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| 83 | |
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| 84 | INTEGER LAUNCH, LTROP ! Launching altitude and tropo altitude |
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| 85 | |
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| 86 | REAL XLAUNCH ! Controle the launching altitude |
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| 87 | REAL XTROP ! SORT of Tropopause altitude |
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| 88 | REAL RUW(KLON, KLEV + 1) ! Flux x at semi levels |
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| 89 | REAL RVW(KLON, KLEV + 1) ! Flux y at semi levels |
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| 90 | |
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| 91 | REAL PRMAX ! Maximum value of PREC, and for which our linear formula |
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| 92 | ! for GWs parameterisation apply |
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| 93 | |
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| 94 | ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS |
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| 95 | |
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| 96 | REAL RDISS, ZOISEC ! COEFF DE DISSIPATION, SECURITY FOR INTRINSIC FREQ |
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| 97 | |
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| 98 | ! 0.3.3 BACKGROUND FLOW AT 1/2 LEVELS AND VERTICAL COORDINATE |
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| 99 | |
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| 100 | REAL H0 ! Characteristic Height of the atmosphere |
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| 101 | REAL PR, TR ! Reference Pressure and Temperature |
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| 102 | |
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| 103 | REAL ZH(KLON, KLEV + 1) ! Log-pressure altitude |
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| 104 | |
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| 105 | REAL UH(KLON, KLEV + 1), VH(KLON, KLEV + 1) ! Winds at 1/2 levels |
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| 106 | REAL PH(KLON, KLEV + 1) ! Pressure at 1/2 levels |
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| 107 | REAL PSEC ! Security to avoid division by 0 pressure |
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| 108 | REAL BV(KLON, KLEV + 1) ! Brunt Vaisala freq. (BVF) at 1/2 levels |
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| 109 | REAL BVSEC ! Security to avoid negative BVF |
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| 110 | REAL RAN_NUM_1,RAN_NUM_2,RAN_NUM_3 |
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| 111 | |
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| 112 | REAL, DIMENSION(klev+1) ::HREF |
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| 113 | |
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| 114 | LOGICAL, SAVE :: gwd_reproductibilite_mpiomp=.true. |
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| 115 | LOGICAL, SAVE :: firstcall = .TRUE. |
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| 116 | !$OMP THREADPRIVATE(firstcall,gwd_reproductibilite_mpiomp) |
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| 117 | |
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| 118 | CHARACTER (LEN=20) :: modname='flott_gwd_rando' |
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| 119 | CHARACTER (LEN=80) :: abort_message |
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| 120 | |
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| 121 | |
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| 122 | |
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| 123 | IF (firstcall) THEN |
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| 124 | ! Cle introduite pour resoudre un probleme de non reproductibilite |
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| 125 | ! Le but est de pouvoir tester de revenir a la version precedenete |
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| 126 | ! A eliminer rapidement |
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| 127 | CALL getin_p('gwd_reproductibilite_mpiomp',gwd_reproductibilite_mpiomp) |
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| 128 | IF (NW+3*NA>=KLEV) THEN |
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| 129 | abort_message = 'NW+3*NA>=KLEV Probleme pour generation des ondes' |
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| 130 | CALL abort_physic (modname,abort_message,1) |
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| 131 | ENDIF |
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| 132 | firstcall=.false. |
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| 133 | ENDIF |
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| 134 | |
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| 135 | |
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| 136 | !----------------------------------------------------------------- |
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| 137 | |
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| 138 | ! 1. INITIALISATIONS |
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| 139 | |
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| 140 | ! 1.1 Basic parameter |
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| 141 | |
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| 142 | ! Are provided from elsewhere (latent heat of vaporization, dry |
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| 143 | ! gaz constant for air, gravity constant, heat capacity of dry air |
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| 144 | ! at constant pressure, earth rotation rate, pi). |
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| 145 | |
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| 146 | ! 1.2 Tuning parameters of V14 |
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| 147 | |
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| 148 | |
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| 149 | RDISS = 0.5 ! Diffusion parameter |
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| 150 | ! ONLINE |
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| 151 | RUWMAX=GWD_RANDO_RUWMAX |
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| 152 | SAT=gwd_rando_sat |
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| 153 | !END ONLINE |
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| 154 | ! OFFLINE |
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| 155 | ! RUWMAX= 1.75 ! Launched flux |
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| 156 | ! SAT=0.25 ! Saturation parameter |
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| 157 | ! END OFFLINE |
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| 158 | |
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| 159 | PRMAX = 20. / 24. /3600. |
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| 160 | ! maximum of rain for which our theory applies (in kg/m^2/s) |
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| 161 | |
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| 162 | ! Characteristic depth of the source |
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| 163 | DZ = 1000. |
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| 164 | XLAUNCH=0.5 ! Parameter that control launching altitude |
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| 165 | XTROP=0.2 ! Parameter that control tropopause altitude |
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| 166 | DELTAT=24.*3600. ! Time scale of the waves (first introduced in 9b) |
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| 167 | ! OFFLINE |
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| 168 | ! DELTAT=DTIME |
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| 169 | ! END OFFLINE |
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| 170 | |
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| 171 | KMIN = 2.E-5 |
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| 172 | ! minimum horizontal wavenumber (inverse of the subgrid scale resolution) |
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| 173 | |
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| 174 | KMAX = 1.E-3 ! Max horizontal wavenumber |
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| 175 | CMAX = 30. ! Max phase speed velocity |
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| 176 | |
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| 177 | TR = 240. ! Reference Temperature |
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| 178 | PR = 101300. ! Reference pressure |
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| 179 | H0 = RD * TR / RG ! Characteristic vertical scale height |
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| 180 | |
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| 181 | BVSEC = 5.E-3 ! Security to avoid negative BVF |
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| 182 | PSEC = 1.E-6 ! Security to avoid division by 0 pressure |
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| 183 | ZOISEC = 1.E-6 ! Security FOR 0 INTRINSIC FREQ |
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| 184 | |
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| 185 | IF (1==0) THEN |
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| 186 | !ONLINE |
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| 187 | call assert(klon == (/size(pp, 1), size(tt, 1), size(uu, 1), & |
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| 188 | size(vv, 1), size(zustr), size(zvstr), size(d_u, 1), & |
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| 189 | size(d_v, 1), & |
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| 190 | size(east_gwstress, 1), size(west_gwstress, 1) /), & |
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| 191 | "FLOTT_GWD_RANDO klon") |
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| 192 | call assert(klev == (/size(pp, 2), size(tt, 2), size(uu, 2), & |
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| 193 | size(vv, 2), size(d_u, 2), size(d_v, 2), & |
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| 194 | size(east_gwstress,2), size(west_gwstress,2) /), & |
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| 195 | "FLOTT_GWD_RANDO klev") |
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| 196 | !END ONLINE |
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| 197 | ENDIF |
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| 198 | |
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| 199 | IF(DELTAT < DTIME)THEN |
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| 200 | PRINT *, 'flott_gwd_rando: deltat < dtime!' |
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| 201 | STOP 1 |
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| 202 | ENDIF |
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| 203 | |
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| 204 | IF (KLEV < NW) THEN |
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| 205 | PRINT *, 'flott_gwd_rando: you will have problem with random numbers' |
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| 206 | STOP 1 |
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| 207 | ENDIF |
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| 208 | |
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| 209 | ! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS |
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| 210 | |
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| 211 | ! Pressure and Inv of pressure |
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| 212 | DO LL = 2, KLEV |
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| 213 | PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.) |
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| 214 | end DO |
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| 215 | PH(:, KLEV + 1) = 0. |
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| 216 | PH(:, 1) = 2. * PP(:, 1) - PH(:, 2) |
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| 217 | |
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| 218 | ! Launching altitude |
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| 219 | |
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| 220 | !Pour revenir a la version non reproductible en changeant le nombre de process |
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| 221 | IF (gwd_reproductibilite_mpiomp) THEN |
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| 222 | ! Reprend la formule qui calcule PH en fonction de PP=play |
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| 223 | DO LL = 2, KLEV |
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| 224 | HREF(LL) = EXP((LOG(presnivs(LL)) + LOG(presnivs(LL - 1))) / 2.) |
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| 225 | end DO |
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| 226 | HREF(KLEV + 1) = 0. |
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| 227 | HREF(1) = 2. * presnivs(1) - HREF(2) |
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| 228 | ELSE |
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| 229 | HREF(1:KLEV)=PH(KLON/2,1:KLEV) |
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| 230 | ENDIF |
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| 231 | |
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| 232 | LAUNCH=0 |
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| 233 | LTROP =0 |
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| 234 | DO LL = 1, KLEV |
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| 235 | IF (HREF(LL) / HREF(1) > XLAUNCH) LAUNCH = LL |
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| 236 | ENDDO |
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| 237 | DO LL = 1, KLEV |
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| 238 | IF (HREF(LL) / HREF(1) > XTROP) LTROP = LL |
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| 239 | ENDDO |
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| 240 | !LAUNCH=22 ; LTROP=33 |
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| 241 | ! print*,'LAUNCH=',LAUNCH,'LTROP=',LTROP |
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| 242 | |
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| 243 | ! Log pressure vert. coordinate |
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| 244 | DO LL = 1, KLEV + 1 |
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| 245 | ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC)) |
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| 246 | end DO |
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| 247 | |
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| 248 | ! BV frequency |
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| 249 | DO LL = 2, KLEV |
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| 250 | ! BVSEC: BV Frequency (UH USED IS AS A TEMPORARY ARRAY DOWN TO WINDS) |
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| 251 | UH(:, LL) = 0.5 * (TT(:, LL) + TT(:, LL - 1)) & |
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| 252 | * RD**2 / RCPD / H0**2 + (TT(:, LL) & |
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| 253 | - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1)) * RD / H0 |
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| 254 | end DO |
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| 255 | BVLOW(:) = 0.5 * (TT(:, LTROP )+ TT(:, LAUNCH)) & |
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| 256 | * RD**2 / RCPD / H0**2 + (TT(:, LTROP ) & |
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| 257 | - TT(:, LAUNCH))/(ZH(:, LTROP )- ZH(:, LAUNCH)) * RD / H0 |
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| 258 | |
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| 259 | UH(:, 1) = UH(:, 2) |
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| 260 | UH(:, KLEV + 1) = UH(:, KLEV) |
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| 261 | BV(:, 1) = UH(:, 2) |
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| 262 | BV(:, KLEV + 1) = UH(:, KLEV) |
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| 263 | ! SMOOTHING THE BV HELPS |
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| 264 | DO LL = 2, KLEV |
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| 265 | BV(:, LL)=(UH(:, LL+1)+2.*UH(:, LL)+UH(:, LL-1))/4. |
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| 266 | end DO |
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| 267 | |
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| 268 | BV=MAX(SQRT(MAX(BV, 0.)), BVSEC) |
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| 269 | BVLOW=MAX(SQRT(MAX(BVLOW, 0.)), BVSEC) |
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| 270 | |
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| 271 | |
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| 272 | ! WINDS |
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| 273 | DO LL = 2, KLEV |
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| 274 | UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind |
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| 275 | VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind |
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| 276 | end DO |
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| 277 | UH(:, 1) = 0. |
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| 278 | VH(:, 1) = 0. |
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| 279 | UH(:, KLEV + 1) = UU(:, KLEV) |
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| 280 | VH(:, KLEV + 1) = VV(:, KLEV) |
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| 281 | |
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| 282 | ! 3 WAVES CHARACTERISTICS CHOSEN RANDOMLY AT THE LAUNCH ALTITUDE |
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| 283 | |
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| 284 | ! The mod functions of weird arguments are used to produce the |
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| 285 | ! waves characteristics in an almost stochastic way |
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| 286 | |
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| 287 | DO JW = 1, NW |
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| 288 | ! Angle |
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| 289 | DO II = 1, KLON |
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| 290 | ! Angle (0 or PI so far) |
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| 291 | RAN_NUM_1=MOD(TT(II, JW) * 10., 1.) |
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| 292 | RAN_NUM_2= MOD(TT(II, JW) * 100., 1.) |
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| 293 | ZP(JW, II) = (SIGN(1., 0.5 - RAN_NUM_1) + 1.) & |
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| 294 | * RPI / 2. |
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| 295 | ! Horizontal wavenumber amplitude |
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| 296 | ZK(JW, II) = KMIN + (KMAX - KMIN) *RAN_NUM_2 |
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| 297 | ! Horizontal phase speed |
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| 298 | CPHA = 0. |
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| 299 | DO JJ = 1, NA |
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| 300 | RAN_NUM_3=MOD(TT(II, JW+3*JJ)**2, 1.) |
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| 301 | CPHA = CPHA + & |
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| 302 | CMAX*2.*(RAN_NUM_3 -0.5)*SQRT(3.)/SQRT(NA*1.) |
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| 303 | END DO |
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| 304 | IF (CPHA.LT.0.) THEN |
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| 305 | CPHA = -1.*CPHA |
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| 306 | ZP(JW,II) = ZP(JW,II) + RPI |
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| 307 | ENDIF |
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| 308 | ! Absolute frequency is imposed |
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| 309 | ZO(JW, II) = CPHA * ZK(JW, II) |
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| 310 | ! Intrinsic frequency is imposed |
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| 311 | ZO(JW, II) = ZO(JW, II) & |
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| 312 | + ZK(JW, II) * COS(ZP(JW, II)) * UH(II, LAUNCH) & |
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| 313 | + ZK(JW, II) * SIN(ZP(JW, II)) * VH(II, LAUNCH) |
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| 314 | ! Momentum flux at launch lev |
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| 315 | RUW0(JW, II) = RUWMAX |
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| 316 | ENDDO |
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| 317 | ENDDO |
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| 318 | |
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| 319 | ! 4. COMPUTE THE FLUXES |
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| 320 | |
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| 321 | ! 4.1 Vertical velocity at launching altitude to ensure |
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| 322 | ! the correct value to the imposed fluxes. |
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| 323 | |
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| 324 | DO JW = 1, NW |
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| 325 | |
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| 326 | ! Evaluate intrinsic frequency at launching altitude: |
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| 327 | ZOP(JW, :) = ZO(JW, :) & |
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| 328 | - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LAUNCH) & |
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| 329 | - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LAUNCH) |
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| 330 | |
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| 331 | ! VERSION WITH CONVECTIVE SOURCE |
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| 332 | |
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| 333 | ! Vertical velocity at launch level, value to ensure the |
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| 334 | ! imposed factor related to the convective forcing: |
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| 335 | ! precipitations. |
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| 336 | |
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| 337 | ! tanh limitation to values above prmax: |
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| 338 | WWP(JW, :) = RUW0(JW, :) & |
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| 339 | * (RD / RCPD / H0 * RLVTT * PRMAX * TANH(PREC(:) / PRMAX))**2 |
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| 340 | |
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| 341 | ! Factor related to the characteristics of the waves: |
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| 342 | WWP(JW, :) = WWP(JW, :) * ZK(JW, :)**3 / KMIN / BVLOW(:) & |
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| 343 | / MAX(ABS(ZOP(JW, :)), ZOISEC)**3 |
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| 344 | |
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| 345 | ! Moderation by the depth of the source (dz here): |
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| 346 | WWP(JW, :) = WWP(JW, :) & |
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| 347 | * EXP(- BVLOW(:)**2 / MAX(ABS(ZOP(JW, :)), ZOISEC)**2 * ZK(JW, :)**2 & |
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| 348 | * DZ**2) |
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| 349 | |
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| 350 | ! Put the stress in the right direction: |
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| 351 | RUWP(JW, :) = ZOP(JW, :) / MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 352 | * BV(:, LAUNCH) * COS(ZP(JW, :)) * WWP(JW, :)**2 |
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| 353 | RVWP(JW, :) = ZOP(JW, :) / MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 354 | * BV(:, LAUNCH) * SIN(ZP(JW, :)) * WWP(JW, :)**2 |
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| 355 | end DO |
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| 356 | |
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| 357 | |
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| 358 | ! 4.2 Uniform values below the launching altitude |
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| 359 | |
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| 360 | DO LL = 1, LAUNCH |
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| 361 | RUW(:, LL) = 0 |
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| 362 | RVW(:, LL) = 0 |
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| 363 | DO JW = 1, NW |
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| 364 | RUW(:, LL) = RUW(:, LL) + RUWP(JW, :) |
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| 365 | RVW(:, LL) = RVW(:, LL) + RVWP(JW, :) |
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| 366 | end DO |
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| 367 | end DO |
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| 368 | |
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| 369 | ! 4.3 Loop over altitudes, with passage from one level to the next |
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| 370 | ! done by i) conserving the EP flux, ii) dissipating a little, |
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| 371 | ! iii) testing critical levels, and vi) testing the breaking. |
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| 372 | |
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| 373 | DO LL = LAUNCH, KLEV - 1 |
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| 374 | ! Warning: all the physics is here (passage from one level |
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| 375 | ! to the next) |
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| 376 | DO JW = 1, NW |
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| 377 | ZOM(JW, :) = ZOP(JW, :) |
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| 378 | WWM(JW, :) = WWP(JW, :) |
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| 379 | ! Intrinsic Frequency |
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| 380 | ZOP(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LL + 1) & |
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| 381 | - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LL + 1) |
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| 382 | |
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| 383 | ! No breaking (Eq.6) |
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| 384 | ! Dissipation (Eq. 8) |
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| 385 | WWP(JW, :) = WWM(JW, :) * EXP(- 4. * RDISS * PR / (PH(:, LL + 1) & |
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| 386 | + PH(:, LL)) * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 & |
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| 387 | / MAX(ABS(ZOP(JW, :) + ZOM(JW, :)) / 2., ZOISEC)**4 & |
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| 388 | * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))) |
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| 389 | |
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| 390 | ! Critical levels (forced to zero if intrinsic frequency changes sign) |
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| 391 | ! Saturation (Eq. 12) |
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| 392 | WWP(JW, :) = min(WWP(JW, :), MAX(0., & |
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| 393 | SIGN(1., ZOP(JW, :) * ZOM(JW, :))) * ABS(ZOP(JW, :))**3 & |
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| 394 | / BV(:, LL + 1) * EXP(- ZH(:, LL + 1) / H0) * KMIN**2 & |
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| 395 | * SAT**2 / ZK(JW, :)**4) |
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| 396 | end DO |
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| 397 | |
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| 398 | ! Evaluate EP-flux from Eq. 7 and give the right orientation to |
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| 399 | ! the stress |
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| 400 | |
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| 401 | DO JW = 1, NW |
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| 402 | RUWP(JW, :) = SIGN(1., ZOP(JW, :))*COS(ZP(JW, :)) * WWP(JW, :) |
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| 403 | RVWP(JW, :) = SIGN(1., ZOP(JW, :))*SIN(ZP(JW, :)) * WWP(JW, :) |
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| 404 | end DO |
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| 405 | |
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| 406 | RUW(:, LL + 1) = 0. |
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| 407 | RVW(:, LL + 1) = 0. |
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| 408 | |
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| 409 | DO JW = 1, NW |
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| 410 | RUW(:, LL + 1) = RUW(:, LL + 1) + RUWP(JW, :) |
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| 411 | RVW(:, LL + 1) = RVW(:, LL + 1) + RVWP(JW, :) |
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| 412 | EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LL)+MAX(0.,RUWP(JW,:))/FLOAT(NW) |
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| 413 | WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LL)+MIN(0.,RUWP(JW,:))/FLOAT(NW) |
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| 414 | end DO |
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| 415 | end DO |
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| 416 | ! OFFLINE ONLY |
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| 417 | ! PRINT *,'SAT PROFILE:' |
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| 418 | ! DO LL=1,KLEV |
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| 419 | ! PRINT *,ZH(KLON/2,LL)/1000.,SAT*(2.+TANH(ZH(KLON/2,LL)/H0-8.)) |
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| 420 | ! ENDDO |
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| 421 | |
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| 422 | ! 5 CALCUL DES TENDANCES: |
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| 423 | |
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| 424 | ! 5.1 Rectification des flux au sommet et dans les basses couches |
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| 425 | |
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| 426 | RUW(:, KLEV + 1) = 0. |
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| 427 | RVW(:, KLEV + 1) = 0. |
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| 428 | RUW(:, 1) = RUW(:, LAUNCH) |
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| 429 | RVW(:, 1) = RVW(:, LAUNCH) |
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| 430 | DO LL = 1, LAUNCH |
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| 431 | RUW(:, LL) = RUW(:, LAUNCH+1) |
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| 432 | RVW(:, LL) = RVW(:, LAUNCH+1) |
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| 433 | EAST_GWSTRESS(:, LL) = EAST_GWSTRESS(:, LAUNCH) |
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| 434 | WEST_GWSTRESS(:, LL) = WEST_GWSTRESS(:, LAUNCH) |
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| 435 | end DO |
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| 436 | |
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| 437 | ! AR-1 RECURSIVE FORMULA (13) IN VERSION 4 |
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| 438 | DO LL = 1, KLEV |
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| 439 | D_U(:, LL) = (1.-DTIME/DELTAT) * D_U(:, LL) + DTIME/DELTAT/REAL(NW) * & |
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| 440 | RG * (RUW(:, LL + 1) - RUW(:, LL)) & |
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| 441 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 442 | ! NO AR-1 FOR MERIDIONAL TENDENCIES |
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| 443 | D_V(:, LL) = 1./REAL(NW) * & |
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| 444 | RG * (RVW(:, LL + 1) - RVW(:, LL)) & |
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| 445 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 446 | ENDDO |
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| 447 | |
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| 448 | ! Cosmetic: evaluation of the cumulated stress |
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| 449 | ZUSTR = 0. |
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| 450 | ZVSTR = 0. |
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| 451 | DO LL = 1, KLEV |
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| 452 | ZUSTR = ZUSTR + D_U(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL))/DTIME |
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| 453 | ZVSTR = ZVSTR + D_V(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL))/DTIME |
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| 454 | ENDDO |
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| 455 | |
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| 456 | |
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| 457 | END SUBROUTINE FLOTT_GWD_RANDO |
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| 458 | |
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| 459 | end module FLOTT_GWD_rando_m |
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