[778] | 1 | SUBROUTINE FLOTT_GWD_RAN(NLON,NLEV,DTIME, pp, pn2, & |
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| 2 | tt,uu,vv,zustr,zvstr,d_t, d_u, d_v) |
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| 3 | |
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| 4 | !---------------------------------------------------------------------- |
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| 5 | ! Parametrization of the momentum flux deposition due to a discrete |
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| 6 | ! number of gravity waves. |
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| 7 | ! F. Lott (version 9: 16 February, 2012), reproduce v3 but with only |
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| 8 | ! two waves present at each time step |
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| 9 | ! LMDz model online version |
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| 10 | ! ADAPTED FOR VENUS |
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| 11 | !--------------------------------------------------------------------- |
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| 12 | |
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| 13 | use dimphy |
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| 14 | implicit none |
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| 15 | |
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| 16 | #include "dimensions.h" |
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| 17 | #include "paramet.h" |
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| 18 | |
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| 19 | #include "YOEGWD.h" |
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| 20 | #include "YOMCST.h" |
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| 21 | |
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| 22 | ! 0. DECLARATIONS: |
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| 23 | |
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| 24 | ! 0.1 INPUTS |
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| 25 | INTEGER, intent(in):: NLON, NLEV |
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| 26 | REAL, intent(in):: DTIME ! Time step of the Physics |
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| 27 | REAL, intent(in):: pp(NLON, NLEV) ! Pressure at full levels |
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| 28 | ! VENUS ATTENTION: CP VARIABLE PN2 CALCULE EN AMONT DES PARAMETRISATIONS |
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| 29 | REAL, intent(in):: pn2(NLON,NLEV) ! N2 (BV^2) at 1/2 levels |
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| 30 | REAL, intent(in):: TT(NLON, NLEV) ! Temp at full levels |
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| 31 | |
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| 32 | REAL, intent(in):: UU(NLON, NLEV) , VV(NLON, NLEV) |
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| 33 | ! Hor winds at full levels |
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| 34 | |
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| 35 | ! 0.2 OUTPUTS |
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| 36 | REAL, intent(out):: zustr(NLON), zvstr(NLON) ! Surface Stresses |
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| 37 | REAL, intent(inout):: d_t(NLON, NLEV) ! Tendency on Temp. |
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| 38 | |
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| 39 | REAL, intent(inout):: d_u(NLON, NLEV), d_v(NLON, NLEV) |
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| 40 | ! Tendencies on winds |
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| 41 | |
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| 42 | ! O.3 INTERNAL ARRAYS |
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| 43 | |
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| 44 | INTEGER II, LL, IEQ |
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| 45 | |
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| 46 | ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED |
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| 47 | |
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| 48 | REAL DELTAT |
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| 49 | |
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| 50 | ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS |
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| 51 | |
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| 52 | !VENUS INTEGER, PARAMETER:: NK = 4, NP = 4, NO = 4, NW = NK * NP * NO |
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| 53 | !Online output: change NO |
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| 54 | INTEGER, PARAMETER:: NK = 1, NP = 2, NO = 10, NW = NK * NP * NO |
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| 55 | INTEGER JK, JP, JO, JW |
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| 56 | REAL KMIN, KMAX ! Min and Max horizontal wavenumbers |
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| 57 | REAL CMIN, CMAX ! Min and Max absolute ph. vel. |
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| 58 | REAL CPHA ! absolute PHASE VELOCITY frequency |
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| 59 | REAL ZK(NW, KLON) ! Horizontal wavenumber amplitude |
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| 60 | REAL ZP(NW) ! Horizontal wavenumber angle |
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| 61 | REAL ZO(NW, KLON) ! Absolute frequency ! |
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| 62 | |
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| 63 | ! Waves Intr. freq. at the 1/2 lev surrounding the full level |
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| 64 | REAL ZOM(NW, KLON), ZOP(NW, KLON) |
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| 65 | |
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| 66 | ! Wave vertical velocities at the 2 1/2 lev surrounding the full level |
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| 67 | REAL WWM(NW, KLON), WWP(NW, KLON) |
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| 68 | |
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| 69 | REAL RUW0(NW, KLON) ! Fluxes at launching level |
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| 70 | |
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| 71 | REAL RUWP(NW, KLON), RVWP(NW, KLON) |
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| 72 | ! Fluxes X and Y for each waves at 1/2 Levels |
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| 73 | |
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| 74 | INTEGER LAUNCH ! Launching altitude |
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| 75 | |
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| 76 | REAL RUWMAX,SAT ! saturation parameter |
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| 77 | REAL XLAUNCH ! Controle the launching altitude |
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| 78 | REAL RUW(KLON, KLEV + 1) ! Flux x at semi levels |
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| 79 | REAL RVW(KLON, KLEV + 1) ! Flux y at semi levels |
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| 80 | |
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| 81 | ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS |
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| 82 | |
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| 83 | REAL RDISS, ZOISEC ! COEFF DE DISSIPATION, SECURITY FOR INTRINSIC FREQ |
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| 84 | |
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| 85 | ! 0.3.3 BACKGROUND FLOW AT 1/2 LEVELS AND VERTICAL COORDINATE |
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| 86 | |
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| 87 | REAL H0(KLON, KLEV) ! Characteristic Height of the atmosphere |
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| 88 | REAL PR ! Reference Pressure |
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| 89 | |
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| 90 | REAL ZH(KLON, KLEV + 1) ! Log-pressure altitude |
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| 91 | |
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| 92 | REAL UH(KLON, KLEV + 1), VH(KLON, KLEV + 1) ! Winds at 1/2 levels |
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| 93 | REAL PH(KLON, KLEV + 1) ! Pressure at 1/2 levels |
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| 94 | REAL PSEC ! Security to avoid division by 0 pressure |
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| 95 | REAL BV(KLON, KLEV + 1) ! Brunt Vaisala freq. (BVF) at 1/2 levels |
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| 96 | REAL BVSEC ! Security to avoid negative BVF |
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| 97 | |
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| 98 | ! COSMETICS TO DIAGNOSE EACH WAVES CONTRIBUTION. |
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| 99 | logical output |
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| 100 | data output/.false./ |
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| 101 | ! CAUTION ! IF output is .true. THEN change NO to 10 at least ! |
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| 102 | character*14 outform |
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| 103 | character*2 str2 |
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| 104 | |
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| 105 | ! ON CONSERVE LA MEMOIRE un certain temps AVEC UN SAVE |
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| 106 | real,save,allocatable :: d_u_sav(:,:),d_v_sav(:,:) |
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| 107 | LOGICAL firstcall |
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| 108 | SAVE firstcall |
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| 109 | DATA firstcall/.true./ |
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| 110 | |
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| 111 | !----------------------------------------------------------------- |
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| 112 | ! 1. INITIALISATIONS |
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| 113 | |
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| 114 | IF (firstcall) THEN |
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| 115 | allocate(d_u_sav(NLON,NLEV),d_v_sav(NLON,NLEV)) |
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| 116 | firstcall=.false. |
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| 117 | ENDIF |
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| 118 | |
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| 119 | ! 1.1 Basic parameter |
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| 120 | |
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| 121 | ! PARAMETERS CORRESPONDING TO V3: |
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| 122 | RUWMAX = 0.005 ! Max EP-Flux at Launch altitude |
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| 123 | SAT = 0.85 ! Saturation parameter: Sc in (12) |
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| 124 | RDISS = 10. ! Diffusion parameter |
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| 125 | |
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| 126 | DELTAT=24.*3600. ! Time scale of the waves (first introduced in 9b) |
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| 127 | |
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| 128 | KMIN = 1.E-6 ! Min horizontal wavenumber |
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| 129 | KMAX = 2.E-5 ! Max horizontal wavenumber |
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| 130 | !Online output: one value only |
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| 131 | if (output) then |
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| 132 | KMIN = 1.3E-5 |
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| 133 | KMAX = 1.3E-5 |
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| 134 | endif |
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| 135 | CMIN = 1. ! Min phase velocity |
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| 136 | CMAX = 60. ! Max phase speed velocity |
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| 137 | XLAUNCH=0.6 ! Parameter that control launching altitude |
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| 138 | |
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| 139 | PR = 9.2e6 ! Reference pressure ! VENUS!! |
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| 140 | |
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| 141 | BVSEC = 1.E-5 ! Security to avoid negative BVF |
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| 142 | PSEC = 1.E-6 ! Security to avoid division by 0 pressure |
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| 143 | ZOISEC = 1.E-6 ! Security FOR 0 INTRINSIC FREQ |
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| 144 | |
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| 145 | IF(DELTAT.LT.DTIME)THEN |
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| 146 | PRINT *,'GWD RANDO: DELTAT LT DTIME!' |
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| 147 | STOP |
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| 148 | ENDIF |
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| 149 | |
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| 150 | |
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| 151 | IF (NLEV < NW) THEN |
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| 152 | PRINT *, 'YOU WILL HAVE PROBLEM WITH RANDOM NUMBERS' |
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| 153 | PRINT *, 'FLOTT GWD STOP' |
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| 154 | STOP 1 |
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| 155 | ENDIF |
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| 156 | |
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| 157 | ! 1.2 WAVES CHARACTERISTICS CHOSEN RANDOMLY |
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| 158 | !------------------------------------------- |
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| 159 | |
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| 160 | ! The mod function of here a weird arguments |
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| 161 | ! are used to produce the waves characteristics |
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| 162 | ! in a stochastic way |
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| 163 | |
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| 164 | JW = 0 |
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| 165 | DO JP = 1, NP |
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| 166 | DO JK = 1, NK |
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| 167 | DO JO = 1, NO |
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| 168 | JW = JW + 1 |
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| 169 | ! Angle |
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| 170 | ZP(JW) = 2. * RPI * REAL(JP - 1) / REAL(NP) |
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| 171 | DO II = 1, KLON |
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| 172 | ! Horizontal wavenumber amplitude |
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| 173 | ZK(JW, II) = KMIN + (KMAX - KMIN) * MOD(TT(II, JW) * 100., 1.) |
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| 174 | ! Horizontal phase speed |
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| 175 | CPHA = CMIN + (CMAX - CMIN) * MOD(TT(II, JW)**2, 1.) |
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| 176 | !Online output: linear |
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| 177 | if (output) CPHA = CMIN + (CMAX - CMIN) * JO/NO |
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| 178 | ! Intrinsic frequency |
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| 179 | ZO(JW, II) = CPHA * ZK(JW, II) |
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| 180 | ! Momentum flux at launch lev |
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| 181 | ! RUW0(JW, II) = RUWMAX / REAL(NW) & |
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| 182 | RUW0(JW, II) = RUWMAX & |
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| 183 | * MOD(100. * (UU(II, JW)**2 + VV(II, JW)**2), 1.) |
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| 184 | ENDDO |
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| 185 | end DO |
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| 186 | end DO |
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| 187 | end DO |
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| 188 | |
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| 189 | ! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS |
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| 190 | !------------------------------------------------------------- |
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| 191 | |
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| 192 | IEQ = KLON / 2 |
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| 193 | !Online output |
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| 194 | if (output) OPEN(11,file="impact-gwno.dat") |
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| 195 | |
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| 196 | ! Pressure and Inv of pressure, Temperature / at 1/2 level |
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| 197 | DO LL = 2, KLEV |
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| 198 | PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.) |
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| 199 | end DO |
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| 200 | |
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| 201 | PH(:, KLEV + 1) = 0. |
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| 202 | PH(:, 1) = 2. * PP(:, 1) - PH(:, 2) |
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| 203 | |
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| 204 | ! Launching altitude |
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| 205 | |
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| 206 | DO LL = 1, NLEV |
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| 207 | IF (PH(IEQ, LL) / PH(IEQ, 1) > XLAUNCH) LAUNCH = LL |
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| 208 | ENDDO |
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| 209 | |
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| 210 | ! Log pressure vert. coordinate (altitude above surface) |
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| 211 | ZH(:,1) = 0. |
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| 212 | DO LL = 2, KLEV + 1 |
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| 213 | H0(:, LL-1) = RD * TT(:, LL-1) / RG |
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| 214 | ZH(:, LL) = ZH(:, LL-1) + H0(:, LL-1)*(PH(:, LL-1)-PH(:,LL))/PP(:, LL-1) |
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| 215 | end DO |
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| 216 | |
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| 217 | ! Winds and BV frequency |
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| 218 | DO LL = 2, KLEV |
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| 219 | UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind |
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| 220 | VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind |
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| 221 | ! BVSEC: BV Frequency |
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| 222 | ! VENUS ATTENTION: CP VARIABLE PSTAB CALCULE EN AMONT DES PARAMETRISATIONS |
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| 223 | BV(:, LL) = SQRT(MAX(BVSEC,pn2(:,LL))) |
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| 224 | end DO |
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| 225 | BV(:, 1) = BV(:, 2) |
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| 226 | UH(:, 1) = 0. |
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| 227 | VH(:, 1) = 0. |
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| 228 | BV(:, KLEV + 1) = BV(:, KLEV) |
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| 229 | UH(:, KLEV + 1) = UU(:, KLEV) |
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| 230 | VH(:, KLEV + 1) = VV(:, KLEV) |
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| 231 | |
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| 232 | |
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| 233 | ! 3. COMPUTE THE FLUXES |
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| 234 | !-------------------------- |
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| 235 | |
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| 236 | ! 3.1 Vertical velocity at launching altitude to ensure |
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| 237 | ! the correct value to the imposed fluxes. |
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| 238 | ! |
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| 239 | DO JW = 1, NW |
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| 240 | |
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| 241 | ! Evaluate intrinsic frequency at launching altitude: |
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| 242 | ZOP(JW, :) = ZO(JW, :) & |
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| 243 | - ZK(JW, :) * COS(ZP(JW)) * UH(:, LAUNCH) & |
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| 244 | - ZK(JW, :) * SIN(ZP(JW)) * VH(:, LAUNCH) |
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| 245 | ! Vertical velocity at launch level, value to ensure the imposed |
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| 246 | ! mom flux: |
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| 247 | WWP(JW, :) = SQRT(ABS(ZOP(JW, :)) / MAX(BV(:, LAUNCH),BVSEC) & |
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| 248 | * RUW0(JW,:)) |
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| 249 | RUWP(JW, :) = COS(ZP(JW)) * SIGN(1., ZOP(JW, :)) * RUW0(JW, :) |
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| 250 | RVWP(JW, :) = SIN(ZP(JW)) * SIGN(1., ZOP(JW, :)) * RUW0(JW, :) |
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| 251 | |
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| 252 | end DO |
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| 253 | |
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| 254 | ! 3.2 Uniform values below the launching altitude |
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| 255 | |
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| 256 | DO LL = 1, LAUNCH |
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| 257 | RUW(:, LL) = 0 |
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| 258 | RVW(:, LL) = 0 |
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| 259 | DO JW = 1, NW |
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| 260 | RUW(:, LL) = RUW(:, LL) + RUWP(JW, :) |
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| 261 | RVW(:, LL) = RVW(:, LL) + RVWP(JW, :) |
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| 262 | end DO |
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| 263 | end DO |
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| 264 | |
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| 265 | ! 3.3 Loop over altitudes, with passage from one level to the |
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| 266 | ! next done by i) conserving the EP flux, ii) dissipating |
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| 267 | ! a little, iii) testing critical levels, and vi) testing |
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| 268 | ! the breaking. |
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| 269 | |
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| 270 | !Online output |
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| 271 | write(str2,'(i2)') NW+1 |
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| 272 | outform="("//str2//"(E12.4,1X))" |
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| 273 | if (output) WRITE(11,outform) ZH(IEQ, 1) / 1000., (ZO(JW, IEQ)/ZK(JW, IEQ)*COS(ZP(JW)), JW = 1, NW) |
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| 274 | |
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| 275 | DO LL = LAUNCH, KLEV - 1 |
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| 276 | |
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| 277 | |
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| 278 | ! W(KB)ARNING: ALL THE PHYSICS IS HERE (PASSAGE FROM ONE LEVEL |
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| 279 | ! TO THE NEXT) |
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| 280 | DO JW = 1, NW |
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| 281 | ZOM(JW, :) = ZOP(JW, :) |
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| 282 | WWM(JW, :) = WWP(JW, :) |
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| 283 | ! Intrinsic Frequency |
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| 284 | ZOP(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW)) * UH(:, LL + 1) & |
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| 285 | - ZK(JW, :) * SIN(ZP(JW)) * VH(:, LL + 1) |
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| 286 | |
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| 287 | WWP(JW, :) = MIN( & |
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| 288 | ! No breaking (Eq.6) |
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| 289 | WWM(JW, :) & |
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| 290 | * SQRT(BV(:, LL ) / BV(:, LL+1) & |
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| 291 | * ABS(ZOP(JW, :)) / MAX(ABS(ZOM(JW, :)), ZOISEC)) & |
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| 292 | ! Dissipation (Eq. 8): |
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| 293 | * EXP(- RDISS * PR / (PH(:, LL + 1) + PH(:, LL)) & |
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| 294 | * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 & |
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| 295 | / MAX(ABS(ZOP(JW, :) + ZOM(JW, :)) / 2., ZOISEC)**4 & |
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| 296 | * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))), & |
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| 297 | ! Critical levels (forced to zero if intrinsic |
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| 298 | ! frequency changes sign) |
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| 299 | MAX(0., SIGN(1., ZOP(JW, :) * ZOM(JW, :))) & |
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| 300 | ! Saturation (Eq. 12) |
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| 301 | * ZOP(JW, :)**2 / ZK(JW, :)/BV(:, LL+1) & |
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| 302 | * EXP(-ZH(:, LL + 1)/2./H0(:,LL)) * SAT) |
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| 303 | end DO |
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| 304 | |
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| 305 | ! END OF W(KB)ARNING |
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| 306 | ! Evaluate EP-flux from Eq. 7 and |
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| 307 | ! Give the right orientation to the stress |
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| 308 | |
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| 309 | DO JW = 1, NW |
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| 310 | RUWP(JW, :) = ZOP(JW, :)/MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 311 | *BV(:,LL+1)& |
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| 312 | * COS(ZP(JW)) * MAX(WWP(JW, :),1e-30)**2 |
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| 313 | RVWP(JW, :) = ZOP(JW, :)/MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 314 | *BV(:,LL+1)& |
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| 315 | * SIN(ZP(JW)) * MAX(WWP(JW, :),1e-30)**2 |
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| 316 | end DO |
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| 317 | ! |
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| 318 | RUW(:, LL + 1) = 0. |
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| 319 | RVW(:, LL + 1) = 0. |
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| 320 | |
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| 321 | DO JW = 1, NW |
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| 322 | RUW(:, LL + 1) = RUW(:, LL + 1) + RUWP(JW, :) |
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| 323 | RVW(:, LL + 1) = RVW(:, LL + 1) + RVWP(JW, :) |
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| 324 | end DO |
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| 325 | !Online output |
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| 326 | if (output) WRITE(11,outform) ZH(IEQ, LL + 1) / 1000., (RUWP(JW, IEQ), JW = 1, NW) |
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| 327 | |
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| 328 | end DO |
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| 329 | |
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| 330 | !Online output |
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| 331 | if (output) then |
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| 332 | CLOSE(11) |
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| 333 | stop |
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| 334 | endif |
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| 335 | |
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| 336 | ! 4 CALCUL DES TENDANCES: |
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| 337 | !------------------------ |
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| 338 | |
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| 339 | ! 4.1 Rectification des flux au sommet et dans les basses couches: |
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| 340 | |
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| 341 | RUW(:, KLEV + 1) = 0. |
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| 342 | RVW(:, KLEV + 1) = 0. |
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| 343 | RUW(:, 1) = RUW(:, LAUNCH) |
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| 344 | RVW(:, 1) = RVW(:, LAUNCH) |
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| 345 | DO LL = 2, LAUNCH |
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| 346 | RUW(:, LL) = RUW(:, LL - 1) + (RUW(:, LAUNCH + 1) - RUW(:, 1)) * & |
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| 347 | (PH(:, LL) - PH(:, LL - 1)) / (PH(:, LAUNCH + 1) - PH(:, 1)) |
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| 348 | RVW(:, LL) = RVW(:, LL - 1) + (RVW(:, LAUNCH + 1) - RVW(:, 1)) * & |
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| 349 | (PH(:, LL) - PH(:, LL - 1)) / (PH(:, LAUNCH + 1) - PH(:, 1)) |
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| 350 | end DO |
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| 351 | |
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| 352 | ! AR-1 RECURSIVE FORMULA (13) IN VERSION 4 |
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| 353 | DO LL = 1, KLEV |
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| 354 | d_u(:, LL) = RG * (RUW(:, LL + 1) - RUW(:, LL)) & |
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| 355 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 356 | d_v(:, LL) = RG * (RVW(:, LL + 1) - RVW(:, LL)) & |
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| 357 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 358 | ENDDO |
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| 359 | ! ON CONSERVE LA MEMOIRE un certain temps AVEC UN SAVE |
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| 360 | d_u = DTIME/DELTAT/REAL(NW) * d_u + (1.-DTIME/DELTAT) * d_u_sav |
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| 361 | d_v = DTIME/DELTAT/REAL(NW) * d_v + (1.-DTIME/DELTAT) * d_v_sav |
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| 362 | d_u_sav = d_u |
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| 363 | d_v_sav = d_v |
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| 364 | |
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| 365 | ! Cosmetic: evaluation of the cumulated stress |
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| 366 | |
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| 367 | ZUSTR(:) = 0. |
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| 368 | ZVSTR(:) = 0. |
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| 369 | DO LL = 1, KLEV |
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| 370 | ZUSTR(:) = ZUSTR(:) + D_U(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL)) |
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| 371 | ZVSTR(:) = ZVSTR(:) + D_V(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL)) |
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| 372 | ENDDO |
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| 373 | |
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| 374 | END SUBROUTINE FLOTT_GWD_RAN |
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