| 1 | MODULE nonoro_gwd_ran_mod |
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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 NONORO_GWD_RAN(NLON,NLEV,DTIME, pp, & |
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| 8 | zmax_therm, pt, pu, pv, pdt, pdu, pdv, & |
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| 9 | zustr,zvstr,d_t, d_u, d_v) |
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| 10 | |
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| 11 | !-------------------------------------------------------------------------------- |
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| 12 | ! Parametrization of the momentum flux deposition due to a discrete |
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| 13 | ! number of gravity waves. |
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| 14 | ! F. Lott |
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| 15 | ! Version 14, Gaussian distribution of the source |
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| 16 | ! LMDz model online version |
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| 17 | ! ADAPTED FOR VENUS / F. LOTT + S. LEBONNOIS |
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| 18 | ! Version adapted on 03/04/2013: |
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| 19 | ! - input flux compensated in the deepest layers |
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| 20 | ! |
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| 21 | ! ADAPTED FOR MARS G.GILLI 02/2016 |
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| 22 | ! Revision with F.Forget 06/2016 Variable EP-flux according to |
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| 23 | ! PBL variation (max velocity thermals) |
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| 24 | !--------------------------------------------------------------------------------- |
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| 25 | |
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| 26 | use dimphy, only: klon, klev |
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| 27 | ! use moyzon_mod, only: plevmoy |
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| 28 | use comcstfi_h, only: g, pi, cpp, r |
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| 29 | ! use comgeomfi_h, only: latitude |
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| 30 | implicit none |
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| 31 | |
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| 32 | include "dimensions.h" |
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| 33 | include "paramet.h" |
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| 34 | include "yoegwd.h" |
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| 35 | |
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| 36 | ! 0. DECLARATIONS: |
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| 37 | |
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| 38 | ! 0.1 INPUTS |
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| 39 | INTEGER, intent(in):: NLON, NLEV |
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| 40 | REAL, intent(in):: DTIME ! Time step of the Physics |
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| 41 | REAL, intent(in):: zmax_therm(NLON) ! altitude of max velocity thermals (m) |
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| 42 | REAL, intent(in):: pp(NLON,NLEV) ! Pressure at full levels |
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| 43 | REAL, intent(in):: pt(NLON,NLEV) ! Temp at full levels |
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| 44 | REAL, intent(in):: pu(NLON,NLEV),pv(NLON,NLEV) ! Hor winds at full levels |
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| 45 | REAL,INTENT(in) :: pdt(nlon,nlev) ! tendency on temperature |
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| 46 | REAL,INTENT(in) :: pdu(nlon,nlev) ! tendency on zonal wind |
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| 47 | REAL,INTENT(in) :: pdv(nlon,nlev) ! tendency on meridional wind |
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| 48 | |
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| 49 | ! 0.2 OUTPUTS |
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| 50 | REAL, intent(out):: zustr(NLON), zvstr(NLON) ! Surface Stresses |
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| 51 | REAL, intent(inout):: d_t(NLON, NLEV) ! Tendency on Temp. |
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| 52 | |
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| 53 | |
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| 54 | REAL, intent(inout):: d_u(NLON, NLEV), d_v(NLON, NLEV) |
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| 55 | ! Tendencies on winds |
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| 56 | |
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| 57 | ! O.3 INTERNAL ARRAYS |
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| 58 | REAL :: TT(NLON, NLEV) ! Temp at full levels |
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| 59 | |
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| 60 | REAL :: UU(NLON, NLEV) , VV(NLON, NLEV) |
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| 61 | ! Hor winds at full levels |
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| 62 | |
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| 63 | INTEGER II, LL |
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| 64 | |
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| 65 | ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED |
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| 66 | |
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| 67 | REAL DELTAT |
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| 68 | |
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| 69 | ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS |
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| 70 | |
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| 71 | !! NO= values of C, NW= total of GW |
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| 72 | INTEGER, PARAMETER:: NK = 2, NP = 2, NO = 2, NW = NK * NP * NO |
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| 73 | !Online output: change NO |
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| 74 | ! INTEGER, PARAMETER:: NK = 1, NP = 2, NO = 11, NW = NK * NP * NO |
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| 75 | INTEGER JK, JP, JO, JW |
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| 76 | REAL KMIN, KMAX ! Min and Max horizontal wavenumbers |
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| 77 | REAL CMIN, CMAX ! Min and Max absolute ph. vel. |
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| 78 | REAL CPHA ! absolute PHASE VELOCITY frequency |
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| 79 | REAL ZK(NW, KLON) ! Horizontal wavenumber amplitude |
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| 80 | REAL ZP(NW) ! Horizontal wavenumber angle |
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| 81 | REAL ZO(NW, KLON) ! Absolute frequency ! |
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| 82 | |
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| 83 | ! Waves Intr. freq. at the 1/2 lev surrounding the full level |
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| 84 | REAL ZOM(NW, KLON), ZOP(NW, KLON) |
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| 85 | |
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| 86 | ! Wave EP-fluxes at the 2 semi levels surrounding the full level |
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| 87 | REAL WWM(NW, KLON), WWP(NW, KLON) |
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| 88 | ! Fluxes X and Y for each waves at 1/2 Levels |
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| 89 | REAL RUWP(NW, KLON), RVWP(NW, KLON) |
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| 90 | REAL RUW(KLON, KLEV + 1) ! Flux x at semi levels |
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| 91 | REAL RVW(KLON, KLEV + 1) ! Flux y at semi levels |
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| 92 | |
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| 93 | REAL RUW0(NW, KLON) ! Fluxes at launching level |
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| 94 | REAL RUWMAX ! Max value |
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| 95 | INTEGER LAUNCH ! Launching altitude |
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| 96 | REAL XLAUNCH ! Control the launching altitude |
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| 97 | REAL ZMAXTH_TOP ! Top of convective layer (approx.) |
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| 98 | |
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| 99 | ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS |
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| 100 | |
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| 101 | REAL SAT ! saturation parameter |
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| 102 | REAL RDISS, ZOISEC ! COEFF DE DISSIPATION, SECURITY FOR INTRINSIC FREQ |
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| 103 | |
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| 104 | ! 0.3.3 BACKGROUND FLOW AT 1/2 LEVELS AND VERTICAL COORDINATE |
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| 105 | |
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| 106 | REAL H0bis(KLON, KLEV) ! Characteristic Height of the atmosphere |
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| 107 | REAL H0 ! Characteristic Height of the atmosphere |
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| 108 | REAL PR, TR ! Reference Pressure and Temperature |
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| 109 | |
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| 110 | REAL ZH(KLON, KLEV + 1) ! Log-pressure altitude (constant H0) |
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| 111 | REAL ZHbis(KLON, KLEV + 1) ! Log-pressure altitude (varying H) |
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| 112 | |
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| 113 | REAL UH(KLON, KLEV + 1), VH(KLON, KLEV + 1) ! Winds at 1/2 levels |
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| 114 | REAL PH(KLON, KLEV + 1) ! Pressure at 1/2 levels |
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| 115 | REAL PSEC ! Security to avoid division by 0 pressure |
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| 116 | REAL BV(KLON, KLEV + 1) ! Brunt Vaisala freq. (BVF) at 1/2 levels |
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| 117 | REAL BVSEC ! Security to avoid negative BVF |
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| 118 | |
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| 119 | ! COSMETICS TO DIAGNOSE EACH WAVES CONTRIBUTION. |
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| 120 | logical,save :: output=.false. |
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| 121 | ! CAUTION ! IF output is .true. THEN change NO to 10 at least ! |
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| 122 | character*14 outform |
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| 123 | character*2 str2 |
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| 124 | integer ieq |
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| 125 | |
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| 126 | ! ON CONSERVE LA MEMOIRE un certain temps AVEC UN SAVE |
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| 127 | real,save,allocatable :: d_u_sav(:,:),d_v_sav(:,:) |
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| 128 | LOGICAL,SAVE :: firstcall = .true. |
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| 129 | |
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| 130 | ! REAL ALEAS |
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| 131 | ! EXTERNAL ALEAS |
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| 132 | |
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| 133 | !----------------------------------------------------------------- |
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| 134 | ! 1. INITIALISATIONS |
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| 135 | |
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| 136 | IF (firstcall) THEN |
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| 137 | write(*,*) "nonoro_gwd_ran: FLott non-oro GW scheme is active!" |
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| 138 | allocate(d_u_sav(NLON,NLEV),d_v_sav(NLON,NLEV)) |
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| 139 | d_u_sav(:,:) = 0. |
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| 140 | d_v_sav(:,:) = 0. |
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| 141 | firstcall=.false. |
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| 142 | ENDIF |
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| 143 | |
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| 144 | ! Compute current values of temperature and winds |
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| 145 | tt(:,:)=pt(:,:)+dtime*pdt(:,:) |
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| 146 | uu(:,:)=pu(:,:)+dtime*pdu(:,:) |
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| 147 | vv(:,:)=pv(:,:)+dtime*pdv(:,:) |
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| 148 | |
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| 149 | ! 1.1 Basic parameter |
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| 150 | |
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| 151 | ! PARAMETERS CORRESPONDING TO V3: |
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| 152 | RUWMAX = 1.e-4 ! best-case for MCS comparison |
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| 153 | ! RUWMAX = 1.e-3 |
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| 154 | |
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| 155 | ! SAT = 0.25 ! Saturation parameter: Sc in (12) |
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| 156 | SAT = 1. ! GG: This is the bestcase value for MCS comparison, |
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| 157 | ! ! but runs for 1 full MY in the thermosphere are instables. |
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| 158 | !!! TESTS |
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| 159 | ! SAT = 0.85 |
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| 160 | ! |
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| 161 | ! RDISS = 40 ! Diffusion parameter |
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| 162 | RDISS = 1 |
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| 163 | ! RDISS = 0.5 |
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| 164 | |
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| 165 | DELTAT=24.*3600. ! Time scale of the waves (first introduced in 9b) |
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| 166 | ! DELTAT=DTIME |
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| 167 | |
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| 168 | KMIN = 2.E-5 ! Min horizontal wavenumber |
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| 169 | KMAX = 7.E-4 ! Max horizontal wavenumber |
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| 170 | |
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| 171 | !Online output: one value only |
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| 172 | if (output) then |
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| 173 | KMIN = 6.3E-5 |
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| 174 | KMAX = 6.3E-5 |
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| 175 | endif |
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| 176 | CMIN = 1. ! Min phase velocity |
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| 177 | ! CMAX = 10. ! Max phase speed velocity |
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| 178 | CMAX = 30. |
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| 179 | ! CMAX = 60. |
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| 180 | XLAUNCH=0.4 ! Parameter that control launching altitude P/Ps |
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| 181 | !!! TEST: launching GW near the ground |
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| 182 | ! XLAUNCH =0.8 |
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| 183 | |
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| 184 | ! MARS above typical convective cell at 250 Pa |
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| 185 | PR = 250. ! Reference pressure [Pa] ! |
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| 186 | TR = 220. ! Reference Temperature [K] ! |
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| 187 | |
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| 188 | ZMAXTH_TOP = 8000. ! Reference max altitude of convective layer [m] |
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| 189 | |
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| 190 | H0 = r * TR / g ! Characteristic vertical scale height |
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| 191 | |
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| 192 | BVSEC = 1.E-5 ! Security to avoid negative BVF |
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| 193 | PSEC = 1.E-6 ! Security to avoid division by 0 pressure |
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| 194 | ZOISEC = 1.E-6 ! Security FOR 0 INTRINSIC FREQ |
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| 195 | |
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| 196 | IF(DELTAT.LT.DTIME)THEN |
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| 197 | PRINT *,'GWD RANDO: DELTAT LT DTIME!' |
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| 198 | STOP |
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| 199 | ENDIF |
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| 200 | |
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| 201 | |
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| 202 | IF (NLEV < NW) THEN |
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| 203 | PRINT *, 'YOU WILL HAVE PROBLEM WITH RANDOM NUMBERS' |
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| 204 | PRINT *, 'FLOTT GWD STOP' |
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| 205 | STOP 1 |
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| 206 | ENDIF |
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| 207 | |
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| 208 | ! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS |
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| 209 | !------------------------------------------------------------- |
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| 210 | |
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| 211 | !Online output |
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| 212 | if (output) OPEN(11,file="impact-gwno.dat") |
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| 213 | |
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| 214 | ! Pressure and Inv of pressure, Temperature / at 1/2 level |
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| 215 | DO LL = 2, KLEV |
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| 216 | PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.) |
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| 217 | end DO |
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| 218 | |
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| 219 | PH(:, KLEV + 1) = 0. |
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| 220 | PH(:, 1) = 2. * PP(:, 1) - PH(:, 2) |
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| 221 | |
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| 222 | ! Launching altitude |
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| 223 | |
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| 224 | DO LL = 1, NLEV |
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| 225 | IF (PH(NLON / 2, LL) / PH(NLON / 2, 1) > XLAUNCH) LAUNCH = LL |
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| 226 | ! IF (plevmoy(LL) / plevmoy(1) > XLAUNCH) LAUNCH = LL ! on venus |
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| 227 | ENDDO |
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| 228 | |
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| 229 | if (output) print*, " WE ARE IN FLOTT GW SCHEME " |
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| 230 | |
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| 231 | !print*, "launch=",LAUNCH |
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| 232 | !print*,"launch p =",PH(NLON/2, LAUNCH) |
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| 233 | |
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| 234 | ! Log pressure vert. coordinate |
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| 235 | DO LL = 1, KLEV + 1 |
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| 236 | ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC)) |
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| 237 | ! print*,'ZH at each level',LL, ZH(NLON/2, LL) |
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| 238 | end DO |
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| 239 | |
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| 240 | if (output) then |
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| 241 | ! altitude above surface |
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| 242 | ZHbis(:,1) = 0. |
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| 243 | DO LL = 2, KLEV + 1 |
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| 244 | H0bis(:, LL-1) = r * TT(:, LL-1) / g |
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| 245 | ZHbis(:, LL) = ZHbis(:, LL-1) & |
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| 246 | + H0bis(:, LL-1)*(PH(:, LL-1)-PH(:,LL))/PP(:, LL-1) |
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| 247 | end DO |
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| 248 | endif |
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| 249 | |
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| 250 | ! Winds and BV frequency |
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| 251 | DO LL = 2, KLEV |
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| 252 | UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind |
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| 253 | VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind |
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| 254 | ! GG test |
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| 255 | !print*, 'TT, UH, VH, ZH at launch', TT(NLON/2,LAUNCH), UH(NLON/2,LAUNCH),VH(NLON/2, LAUNCH), ZH(NLON/2,LAUNCH) |
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| 256 | ! BVSEC: BV Frequency |
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| 257 | BV(:, LL) = 0.5 * (TT(:, LL) + TT(:, LL - 1)) & |
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| 258 | * r**2 / cpp / H0**2 + (TT(:, LL) & |
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| 259 | - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1)) * r / H0 |
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| 260 | BV(:,LL) =SQRT(MAX(BVSEC,BV(:,LL))) |
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| 261 | end DO |
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| 262 | !GG test |
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| 263 | !print*, 'BV freq in flott_gwnoro:',LAUNCH, BV(NLON/2, LAUNCH) |
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| 264 | |
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| 265 | BV(:, 1) = BV(:, 2) |
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| 266 | UH(:, 1) = 0. |
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| 267 | VH(:, 1) = 0. |
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| 268 | BV(:, KLEV + 1) = BV(:, KLEV) |
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| 269 | UH(:, KLEV + 1) = UU(:, KLEV) |
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| 270 | VH(:, KLEV + 1) = VV(:, KLEV) |
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| 271 | |
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| 272 | |
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| 273 | ! 3. WAVES CHARACTERISTICS CHOSEN RANDOMLY |
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| 274 | !------------------------------------------- |
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| 275 | |
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| 276 | ! The mod function of here a weird arguments |
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| 277 | ! are used to produce the waves characteristics |
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| 278 | ! in a stochastic way |
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| 279 | |
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| 280 | !! A REVOIR: |
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| 281 | !! - utilisation de MOD ou bien de aleas ? |
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| 282 | !! - distribution gaussienne des CPHA ? (avec signe ZP qui est ajuste apres) |
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| 283 | |
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| 284 | JW = 0 |
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| 285 | DO JP = 1, NP |
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| 286 | DO JK = 1, NK |
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| 287 | DO JO = 1, NO |
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| 288 | JW = JW + 1 |
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| 289 | ! Angle |
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| 290 | ZP(JW) = 2. * pi * REAL(JP - 1) / REAL(NP) |
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| 291 | DO II = 1, KLON |
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| 292 | ! Horizontal wavenumber amplitude |
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| 293 | ! ZK(JW, II) = KMIN + (KMAX - KMIN) * MOD(TT(II, JW) * 100., 1.) |
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| 294 | ZK(JW, II) = KMIN + (KMAX - KMIN) * ALEAS(0.) |
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| 295 | ! Horizontal phase speed |
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| 296 | ! CPHA = CMIN + (CMAX - CMIN) * MOD(TT(II, JW)**2, 1.) |
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| 297 | CPHA = CMIN + (CMAX - CMIN) * ALEAS(0.) |
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| 298 | !Online output: linear |
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| 299 | if (output) CPHA = CMIN + (CMAX - CMIN) * (JO-1)/(NO-1) |
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| 300 | ! Intrinsic frequency |
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| 301 | ZO(JW, II) = CPHA * ZK(JW, II) |
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| 302 | ! Intrinsic frequency is imposed |
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| 303 | ZO(JW, II) = ZO(JW, II) & |
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| 304 | + ZK(JW, II) * COS(ZP(JW)) * UH(II, LAUNCH) & |
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| 305 | + ZK(JW, II) * SIN(ZP(JW)) * VH(II, LAUNCH) |
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| 306 | ! Momentum flux at launch lev |
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| 307 | !! |
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| 308 | !!! CHANGE on MARS GCM: variable EP-FLUX according to: |
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| 309 | ! TEST1: PBL diurnal variation |
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| 310 | !! |
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| 311 | ! RUW0(JW, II) = MAX(RUWMAX / 100., & |
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| 312 | ! zmax_therm(II)/ZMAXTH_TOP * RUWMAX) |
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| 313 | |
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| 314 | !!! BELOW: previous version from Flott original version |
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| 315 | RUW0(JW, II) = RUWMAX & |
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| 316 | * ALEAS(0.) ! & |
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| 317 | !!! The factor cos**8:Limit the fluxes to tropical regions |
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| 318 | ! * COS(pi/180.*latitude(II))**8 |
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| 319 | !Online output: fixed to max |
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| 320 | if (output) RUW0(JW, II) = RUWMAX |
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| 321 | ENDDO |
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| 322 | end DO |
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| 323 | end DO |
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| 324 | end DO |
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| 325 | |
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| 326 | ! 4. COMPUTE THE FLUXES |
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| 327 | !-------------------------- |
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| 328 | |
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| 329 | ! 4.1 Vertical velocity at launching altitude to ensure |
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| 330 | ! the correct value to the imposed fluxes. |
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| 331 | ! |
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| 332 | DO JW = 1, NW |
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| 333 | |
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| 334 | ! Evaluate intrinsic frequency at launching altitude: |
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| 335 | ZOP(JW, :) = ZO(JW, :) & |
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| 336 | - ZK(JW, :) * COS(ZP(JW)) * UH(:, LAUNCH) & |
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| 337 | - ZK(JW, :) * SIN(ZP(JW)) * VH(:, LAUNCH) |
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| 338 | ! Vertical velocity at launch level, value to ensure the imposed |
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| 339 | ! mom flux: |
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| 340 | WWP(JW, :) = SQRT(ABS(ZOP(JW, :)) / MAX(BV(:, LAUNCH),BVSEC) & |
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| 341 | * RUW0(JW,:)) |
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| 342 | RUWP(JW, :) = COS(ZP(JW)) * SIGN(1., ZOP(JW, :)) * RUW0(JW, :) |
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| 343 | RVWP(JW, :) = SIN(ZP(JW)) * SIGN(1., ZOP(JW, :)) * RUW0(JW, :) |
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| 344 | |
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| 345 | end DO |
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| 346 | |
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| 347 | !!! EARTH VERSION !!!! |
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| 348 | ! 4.2 Uniform values below the launching altitude |
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| 349 | |
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| 350 | DO LL = 1, LAUNCH |
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| 351 | RUW(:, LL) = 0 |
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| 352 | RVW(:, LL) = 0 |
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| 353 | DO JW = 1, NW |
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| 354 | RUW(:, LL) = RUW(:, LL) + RUWP(JW, :) |
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| 355 | RVW(:, LL) = RVW(:, LL) + RVWP(JW, :) |
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| 356 | end DO |
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| 357 | end DO |
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| 358 | |
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| 359 | !!! VENUS VERSION !!!! |
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| 360 | ! 4.2 Initial flux at launching altitude |
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| 361 | |
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| 362 | !RUW(:, LAUNCH) = 0 |
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| 363 | !RVW(:, LAUNCH) = 0 |
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| 364 | !DO JW = 1, NW |
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| 365 | ! RUW(:, LAUNCH) = RUW(:, LAUNCH) + RUWP(JW, :) |
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| 366 | ! RVW(:, LAUNCH) = RVW(:, LAUNCH) + RVWP(JW, :) |
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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 |
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| 370 | ! next done by i) conserving the EP flux, ii) dissipating |
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| 371 | ! a little, iii) testing critical levels, and vi) testing |
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| 372 | ! the breaking. |
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| 373 | |
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| 374 | !Online output |
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| 375 | if (output) then |
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| 376 | ieq=nlon/2+1 |
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| 377 | write(str2,'(i2)') NW+2 |
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| 378 | outform="("//str2//"(E12.4,1X))" |
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| 379 | WRITE(11,outform) ZH(IEQ, 1) / 1000., ZHbis(IEQ, 1) / 1000., & |
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| 380 | (ZO(JW, IEQ)/ZK(JW, IEQ)*COS(ZP(JW)), JW = 1, NW) |
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| 381 | endif |
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| 382 | |
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| 383 | DO LL = LAUNCH, KLEV - 1 |
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| 384 | |
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| 385 | |
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| 386 | ! W(KB)ARNING: ALL THE PHYSICS IS HERE (PASSAGE FROM ONE LEVEL |
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| 387 | ! TO THE NEXT) |
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| 388 | DO JW = 1, NW |
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| 389 | ZOM(JW, :) = ZOP(JW, :) |
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| 390 | WWM(JW, :) = WWP(JW, :) |
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| 391 | ! Intrinsic Frequency |
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| 392 | ZOP(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW)) * UH(:, LL + 1) & |
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| 393 | - ZK(JW, :) * SIN(ZP(JW)) * VH(:, LL + 1) |
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| 394 | |
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| 395 | WWP(JW, :) = MIN( & |
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| 396 | ! No breaking (Eq.6) |
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| 397 | WWM(JW, :) & |
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| 398 | * SQRT(BV(:, LL ) / BV(:, LL+1) & |
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| 399 | * ABS(ZOP(JW, :)) / MAX(ABS(ZOM(JW, :)), ZOISEC)) & |
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| 400 | ! Dissipation (Eq. 8): |
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| 401 | * EXP(- RDISS * PR / (PH(:, LL + 1) + PH(:, LL)) & |
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| 402 | * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 & |
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| 403 | / MAX(ABS(ZOP(JW, :) + ZOM(JW, :)) / 2., ZOISEC)**4 & |
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| 404 | * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))), & |
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| 405 | ! Critical levels (forced to zero if intrinsic frequency changes sign) |
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| 406 | MAX(0., SIGN(1., ZOP(JW, :) * ZOM(JW, :))) & |
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| 407 | ! Saturation (Eq. 12) |
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| 408 | * ABS(ZOP(JW, :))**3 /BV(:, LL+1) & |
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| 409 | * EXP(-ZH(:, LL + 1)/H0) * SAT**2*KMIN**2/ZK(JW, :)**4) |
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| 410 | end DO |
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| 411 | |
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| 412 | ! END OF W(KB)ARNING |
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| 413 | ! Evaluate EP-flux from Eq. 7 and |
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| 414 | ! Give the right orientation to the stress |
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| 415 | DO JW = 1, NW |
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| 416 | RUWP(JW, :) = ZOP(JW, :)/MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 417 | *BV(:,LL+1)& |
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| 418 | * COS(ZP(JW)) * WWP(JW, :)**2 |
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| 419 | RVWP(JW, :) = ZOP(JW, :)/MAX(ABS(ZOP(JW, :)), ZOISEC)**2 & |
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| 420 | *BV(:,LL+1)& |
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| 421 | * SIN(ZP(JW)) * WWP(JW, :)**2 |
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| 422 | end DO |
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| 423 | |
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| 424 | ! |
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| 425 | RUW(:, LL + 1) = 0. |
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| 426 | RVW(:, LL + 1) = 0. |
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| 427 | |
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| 428 | DO JW = 1, NW |
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| 429 | RUW(:, LL + 1) = RUW(:, LL + 1) + RUWP(JW, :) |
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| 430 | RVW(:, LL + 1) = RVW(:, LL + 1) + RVWP(JW, :) |
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| 431 | end DO |
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| 432 | !Online output |
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| 433 | if (output) then |
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| 434 | do JW=1,NW |
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| 435 | if(RUWP(JW, IEQ).gt.0.) then |
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| 436 | RUWP(JW, IEQ) = max(RUWP(JW, IEQ), 1.e-99) |
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| 437 | else |
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| 438 | RUWP(JW, IEQ) = min(RUWP(JW, IEQ), -1.e-99) |
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| 439 | endif |
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| 440 | enddo |
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| 441 | WRITE(11,outform) ZH(IEQ, LL+1) / 1000., & |
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| 442 | ZHbis(IEQ, LL+1) / 1000., & |
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| 443 | (RUWP(JW, IEQ), JW = 1, NW) |
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| 444 | endif |
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| 445 | |
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| 446 | end DO |
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| 447 | |
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| 448 | ! 5 CALCUL DES TENDANCES: |
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| 449 | !------------------------ |
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| 450 | |
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| 451 | ! 5.1 Rectification des flux au sommet et dans les basses couches: |
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| 452 | |
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| 453 | RUW(:, KLEV + 1) = 0. |
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| 454 | RVW(:, KLEV + 1) = 0. |
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| 455 | RUW(:, 1) = RUW(:, LAUNCH) |
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| 456 | RVW(:, 1) = RVW(:, LAUNCH) |
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| 457 | DO LL = 2, LAUNCH |
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| 458 | RUW(:, LL) = RUW(:, LL - 1) + (RUW(:, LAUNCH + 1) - RUW(:, 1)) * & |
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| 459 | (PH(:, LL) - PH(:, LL - 1)) / (PH(:, LAUNCH + 1) - PH(:, 1)) |
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| 460 | RVW(:, LL) = RVW(:, LL - 1) + (RVW(:, LAUNCH + 1) - RVW(:, 1)) * & |
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| 461 | (PH(:, LL) - PH(:, LL - 1)) / (PH(:, LAUNCH + 1) - PH(:, 1)) |
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| 462 | end DO |
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| 463 | |
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| 464 | ! AR-1 RECURSIVE FORMULA (13) IN VERSION 4 |
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| 465 | DO LL = 1, KLEV |
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| 466 | d_u(:, LL) = G * (RUW(:, LL + 1) - RUW(:, LL)) & |
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| 467 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 468 | d_v(:, LL) = G * (RVW(:, LL + 1) - RVW(:, LL)) & |
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| 469 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
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| 470 | ENDDO |
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| 471 | d_t(:,:) = 0. |
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| 472 | ! ON CONSERVE LA MEMOIRE un certain temps AVEC UN SAVE |
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| 473 | d_u(:,:) = DTIME/DELTAT/REAL(NW) * d_u(:,:) + (1.-DTIME/DELTAT) * d_u_sav(:,:) |
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| 474 | d_v(:,:) = DTIME/DELTAT/REAL(NW) * d_v(:,:) + (1.-DTIME/DELTAT) * d_v_sav(:,:) |
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| 475 | d_u_sav(:,:) = d_u(:,:) |
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| 476 | d_v_sav(:,:) = d_v(:,:) |
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| 477 | |
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| 478 | ! Cosmetic: evaluation of the cumulated stress |
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| 479 | |
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| 480 | ZUSTR(:) = 0. |
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| 481 | ZVSTR(:) = 0. |
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| 482 | DO LL = 1, KLEV |
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| 483 | ZUSTR(:) = ZUSTR(:) + D_U(:, LL) / g * (PH(:, LL + 1) - PH(:, LL)) |
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| 484 | ZVSTR(:) = ZVSTR(:) + D_V(:, LL) / g * (PH(:, LL + 1) - PH(:, LL)) |
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| 485 | ENDDO |
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| 486 | |
|---|
| 487 | END SUBROUTINE NONORO_GWD_RAN |
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| 488 | |
|---|
| 489 | !=================================================================== |
|---|
| 490 | !=================================================================== |
|---|
| 491 | !=================================================================== |
|---|
| 492 | !=================================================================== |
|---|
| 493 | |
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| 494 | REAL FUNCTION ALEAS (R) |
|---|
| 495 | IMPLICIT NONE |
|---|
| 496 | !***BEGIN PROLOGUE ALEAS |
|---|
| 497 | !***PURPOSE Generate a uniformly distributed random number. |
|---|
| 498 | !***LIBRARY SLATEC (FNLIB) |
|---|
| 499 | !***CATEGORY L6A21 |
|---|
| 500 | !***TYPE SINGLE PRECISION (ALEAS-S) |
|---|
| 501 | !***KEYWORDS FNLIB, ALEAS NUMBER, SPECIAL FUNCTIONS, UNIFORM |
|---|
| 502 | !***AUTHOR Fullerton, W., (LANL) |
|---|
| 503 | !***DESCRIPTION |
|---|
| 504 | ! |
|---|
| 505 | ! This pseudo-random number generator is portable among a wide |
|---|
| 506 | ! variety of computers. RAND(R) undoubtedly is not as good as many |
|---|
| 507 | ! readily available installation dependent versions, and so this |
|---|
| 508 | ! routine is not recommended for widespread usage. Its redeeming |
|---|
| 509 | ! feature is that the exact same random numbers (to within final round- |
|---|
| 510 | ! off error) can be generated from machine to machine. Thus, programs |
|---|
| 511 | ! that make use of random numbers can be easily transported to and |
|---|
| 512 | ! checked in a new environment. |
|---|
| 513 | ! |
|---|
| 514 | ! The random numbers are generated by the linear congruential |
|---|
| 515 | ! method described, e.g., by Knuth in Seminumerical Methods (p.9), |
|---|
| 516 | ! Addison-Wesley, 1969. Given the I-th number of a pseudo-random |
|---|
| 517 | ! sequence, the I+1 -st number is generated from |
|---|
| 518 | ! X(I+1) = (A*X(I) + C) MOD M, |
|---|
| 519 | ! where here M = 2**22 = 4194304, C = 1731 and several suitable values |
|---|
| 520 | ! of the multiplier A are discussed below. Both the multiplier A and |
|---|
| 521 | ! random number X are represented in double precision as two 11-bit |
|---|
| 522 | ! words. The constants are chosen so that the period is the maximum |
|---|
| 523 | ! possible, 4194304. |
|---|
| 524 | ! |
|---|
| 525 | ! In order that the same numbers be generated from machine to |
|---|
| 526 | ! machine, it is necessary that 23-bit integers be reducible modulo |
|---|
| 527 | ! 2**11 exactly, that 23-bit integers be added exactly, and that 11-bit |
|---|
| 528 | ! integers be multiplied exactly. Furthermore, if the restart option |
|---|
| 529 | ! is used (where R is between 0 and 1), then the product R*2**22 = |
|---|
| 530 | ! R*4194304 must be correct to the nearest integer. |
|---|
| 531 | ! |
|---|
| 532 | ! The first four random numbers should be .0004127026, |
|---|
| 533 | ! .6750836372, .1614754200, and .9086198807. The tenth random number |
|---|
| 534 | ! is .5527787209, and the hundredth is .3600893021 . The thousandth |
|---|
| 535 | ! number should be .2176990509 . |
|---|
| 536 | ! |
|---|
| 537 | ! In order to generate several effectively independent sequences |
|---|
| 538 | ! with the same generator, it is necessary to know the random number |
|---|
| 539 | ! for several widely spaced calls. The I-th random number times 2**22, |
|---|
| 540 | ! where I=K*P/8 and P is the period of the sequence (P = 2**22), is |
|---|
| 541 | ! still of the form L*P/8. In particular we find the I-th random |
|---|
| 542 | ! number multiplied by 2**22 is given by |
|---|
| 543 | ! I = 0 1*P/8 2*P/8 3*P/8 4*P/8 5*P/8 6*P/8 7*P/8 8*P/8 |
|---|
| 544 | ! RAND= 0 5*P/8 2*P/8 7*P/8 4*P/8 1*P/8 6*P/8 3*P/8 0 |
|---|
| 545 | ! Thus the 4*P/8 = 2097152 random number is 2097152/2**22. |
|---|
| 546 | ! |
|---|
| 547 | ! Several multipliers have been subjected to the spectral test |
|---|
| 548 | ! (see Knuth, p. 82). Four suitable multipliers roughly in order of |
|---|
| 549 | ! goodness according to the spectral test are |
|---|
| 550 | ! 3146757 = 1536*2048 + 1029 = 2**21 + 2**20 + 2**10 + 5 |
|---|
| 551 | ! 2098181 = 1024*2048 + 1029 = 2**21 + 2**10 + 5 |
|---|
| 552 | ! 3146245 = 1536*2048 + 517 = 2**21 + 2**20 + 2**9 + 5 |
|---|
| 553 | ! 2776669 = 1355*2048 + 1629 = 5**9 + 7**7 + 1 |
|---|
| 554 | ! |
|---|
| 555 | ! In the table below LOG10(NU(I)) gives roughly the number of |
|---|
| 556 | ! random decimal digits in the random numbers considered I at a time. |
|---|
| 557 | ! C is the primary measure of goodness. In both cases bigger is better. |
|---|
| 558 | ! |
|---|
| 559 | ! LOG10 NU(I) C(I) |
|---|
| 560 | ! A I=2 I=3 I=4 I=5 I=2 I=3 I=4 I=5 |
|---|
| 561 | ! |
|---|
| 562 | ! 3146757 3.3 2.0 1.6 1.3 3.1 1.3 4.6 2.6 |
|---|
| 563 | ! 2098181 3.3 2.0 1.6 1.2 3.2 1.3 4.6 1.7 |
|---|
| 564 | ! 3146245 3.3 2.2 1.5 1.1 3.2 4.2 1.1 0.4 |
|---|
| 565 | ! 2776669 3.3 2.1 1.6 1.3 2.5 2.0 1.9 2.6 |
|---|
| 566 | ! Best |
|---|
| 567 | ! Possible 3.3 2.3 1.7 1.4 3.6 5.9 9.7 14.9 |
|---|
| 568 | ! |
|---|
| 569 | ! Input Argument -- |
|---|
| 570 | ! R If R=0., the next random number of the sequence is generated. |
|---|
| 571 | ! If R .LT. 0., the last generated number will be returned for |
|---|
| 572 | ! possible use in a restart procedure. |
|---|
| 573 | ! If R .GT. 0., the sequence of random numbers will start with |
|---|
| 574 | ! the seed R mod 1. This seed is also returned as the value of |
|---|
| 575 | ! RAND provided the arithmetic is done exactly. |
|---|
| 576 | ! |
|---|
| 577 | ! Output Value -- |
|---|
| 578 | ! RAND a pseudo-random number between 0. and 1. |
|---|
| 579 | ! |
|---|
| 580 | !***REFERENCES (NONE) |
|---|
| 581 | !***ROUTINES CALLED (NONE) |
|---|
| 582 | !***REVISION HISTORY (YYMMDD) |
|---|
| 583 | ! 770401 DATE WRITTEN |
|---|
| 584 | ! 890531 Changed all specific intrinsics to generic. (WRB) |
|---|
| 585 | ! 890531 REVISION DATE from Version 3.2 |
|---|
| 586 | ! 891214 Prologue converted to Version 4.0 format. (BAB) |
|---|
| 587 | !***END PROLOGUE RAND |
|---|
| 588 | INTEGER IA1, IA0, IA1MA0, IC, IX1, IX0 |
|---|
| 589 | SAVE IA1, IA0, IA1MA0, IC, IX1, IX0 |
|---|
| 590 | DATA IA1, IA0, IA1MA0 /1536, 1029, 507/ |
|---|
| 591 | DATA IC /1731/ |
|---|
| 592 | DATA IX1, IX0 /0, 0/ |
|---|
| 593 | REAL R |
|---|
| 594 | INTEGER IY0,IY1 |
|---|
| 595 | !***FIRST EXECUTABLE STATEMENT RAND |
|---|
| 596 | ! |
|---|
| 597 | ! A*X = 2**22*IA1*IX1 + 2**11*(IA1*IX1 + (IA1-IA0)*(IX0-IX1) |
|---|
| 598 | ! + IA0*IX0) + IA0*IX0 |
|---|
| 599 | ! |
|---|
| 600 | IF (R.EQ.0.) THEN |
|---|
| 601 | IY0 = IA0*IX0 |
|---|
| 602 | IY1 = IA1*IX1 + IA1MA0*(IX0-IX1) + IY0 |
|---|
| 603 | IY0 = IY0 + IC |
|---|
| 604 | IX0 = MOD (IY0, 2048) |
|---|
| 605 | IY1 = IY1 + (IY0-IX0)/2048 |
|---|
| 606 | IX1 = MOD (IY1, 2048) |
|---|
| 607 | ENDIF |
|---|
| 608 | |
|---|
| 609 | IF (R.GT.0.) THEN |
|---|
| 610 | IX1 = MOD(R,1.)*4194304. + 0.5 |
|---|
| 611 | IX0 = MOD (IX1, 2048) |
|---|
| 612 | IX1 = (IX1-IX0)/2048 |
|---|
| 613 | ENDIF |
|---|
| 614 | |
|---|
| 615 | ALEAS = IX1*2048 + IX0 |
|---|
| 616 | ALEAS = ALEAS / 4194304. |
|---|
| 617 | RETURN |
|---|
| 618 | |
|---|
| 619 | END FUNCTION ALEAS |
|---|
| 620 | |
|---|
| 621 | END MODULE nonoro_gwd_ran_mod |
|---|
