[2759] | 1 | !LWRF:MODEL_LAYER:PHYSICS |
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| 2 | ! |
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| 3 | MODULE module_bl_gfs |
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| 4 | |
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| 5 | CONTAINS |
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| 6 | |
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| 7 | !------------------------------------------------------------------- |
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| 8 | SUBROUTINE BL_GFS(U3D,V3D,TH3D,T3D,QV3D,QC3D, P3D,PI3D, & |
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| 9 | RUBLTEN,RVBLTEN,RTHBLTEN, & |
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| 10 | RQVBLTEN,RQCBLTEN, & |
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| 11 | CP,G,ROVCP,R,ROVG,FLAG_QI, & |
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| 12 | dz8w,z,PSFC, & |
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| 13 | UST,PBL,PSIM,PSIH, & |
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| 14 | HFX,QFX,TSK,GZ1OZ0,WSPD,BR, & |
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| 15 | DT,KPBL2D,EP1,KARMAN, & |
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| 16 | ids,ide, jds,jde, kds,kde, & |
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| 17 | ims,ime, jms,jme, kms,kme, & |
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| 18 | its,ite, jts,jte, kts,kte, & |
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| 19 | ! optional |
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| 20 | qi3d,rqiblten ) |
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| 21 | !-------------------------------------------------------------------- |
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| 22 | USE MODULE_GFS_MACHINE, ONLY : kind_phys |
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| 23 | !------------------------------------------------------------------- |
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| 24 | IMPLICIT NONE |
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| 25 | !------------------------------------------------------------------- |
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| 26 | !-- U3D 3D u-velocity interpolated to theta points (m/s) |
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| 27 | !-- V3D 3D v-velocity interpolated to theta points (m/s) |
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| 28 | !-- TH3D 3D potential temperature (K) |
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| 29 | !-- T3D temperature (K) |
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| 30 | !-- QV3D 3D water vapor mixing ratio (Kg/Kg) |
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| 31 | !-- QC3D 3D cloud mixing ratio (Kg/Kg) |
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| 32 | !-- QI3D 3D ice mixing ratio (Kg/Kg) |
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| 33 | !-- P3D 3D pressure (Pa) |
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| 34 | !-- PI3D 3D exner function (dimensionless) |
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| 35 | !-- rr3D 3D dry air density (kg/m^3) |
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| 36 | !-- RUBLTEN U tendency due to |
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| 37 | ! PBL parameterization (m/s^2) |
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| 38 | !-- RVBLTEN V tendency due to |
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| 39 | ! PBL parameterization (m/s^2) |
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| 40 | !-- RTHBLTEN Theta tendency due to |
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| 41 | ! PBL parameterization (K/s) |
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| 42 | !-- RQVBLTEN Qv tendency due to |
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| 43 | ! PBL parameterization (kg/kg/s) |
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| 44 | !-- RQCBLTEN Qc tendency due to |
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| 45 | ! PBL parameterization (kg/kg/s) |
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| 46 | !-- RQIBLTEN Qi tendency due to |
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| 47 | ! PBL parameterization (kg/kg/s) |
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| 48 | !-- CP heat capacity at constant pressure for dry air (J/kg/K) |
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| 49 | !-- G acceleration due to gravity (m/s^2) |
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| 50 | !-- ROVCP R/CP |
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| 51 | !-- R gas constant for dry air (J/kg/K) |
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| 52 | !-- ROVG R/G |
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| 53 | !-- P_QI species index for cloud ice |
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| 54 | !-- dz8w dz between full levels (m) |
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| 55 | !-- z height above sea level (m) |
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| 56 | !-- PSFC pressure at the surface (Pa) |
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| 57 | !-- UST u* in similarity theory (m/s) |
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| 58 | !-- PBL PBL height (m) |
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| 59 | !-- PSIM similarity stability function for momentum |
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| 60 | !-- PSIH similarity stability function for heat |
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| 61 | !-- HFX upward heat flux at the surface (W/m^2) |
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| 62 | !-- QFX upward moisture flux at the surface (kg/m^2/s) |
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| 63 | !-- TSK surface temperature (K) |
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| 64 | !-- GZ1OZ0 log(z/z0) where z0 is roughness length |
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| 65 | !-- WSPD wind speed at lowest model level (m/s) |
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| 66 | !-- BR bulk Richardson number in surface layer |
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| 67 | !-- DT time step (s) |
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| 68 | !-- rvovrd R_v divided by R_d (dimensionless) |
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| 69 | !-- EP1 constant for virtual temperature (R_v/R_d - 1) (dimensionless) |
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| 70 | !-- KARMAN Von Karman constant |
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| 71 | !-- ids start index for i in domain |
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| 72 | !-- ide end index for i in domain |
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| 73 | !-- jds start index for j in domain |
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| 74 | !-- jde end index for j in domain |
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| 75 | !-- kds start index for k in domain |
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| 76 | !-- kde end index for k in domain |
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| 77 | !-- ims start index for i in memory |
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| 78 | !-- ime end index for i in memory |
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| 79 | !-- jms start index for j in memory |
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| 80 | !-- jme end index for j in memory |
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| 81 | !-- kms start index for k in memory |
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| 82 | !-- kme end index for k in memory |
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| 83 | !-- its start index for i in tile |
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| 84 | !-- ite end index for i in tile |
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| 85 | !-- jts start index for j in tile |
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| 86 | !-- jte end index for j in tile |
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| 87 | !-- kts start index for k in tile |
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| 88 | !-- kte end index for k in tile |
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| 89 | !------------------------------------------------------------------- |
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| 90 | |
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| 91 | INTEGER, INTENT(IN) :: ids,ide, jds,jde, kds,kde, & |
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| 92 | ims,ime, jms,jme, kms,kme, & |
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| 93 | its,ite, jts,jte, kts,kte |
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| 94 | |
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| 95 | LOGICAL, INTENT(IN) :: flag_qi |
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| 96 | |
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| 97 | REAL, INTENT(IN) :: & |
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| 98 | CP, & |
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| 99 | DT, & |
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| 100 | EP1, & |
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| 101 | G, & |
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| 102 | KARMAN, & |
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| 103 | R, & |
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| 104 | ROVCP, & |
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| 105 | ROVG |
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| 106 | |
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| 107 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN) :: & |
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| 108 | DZ8W, & |
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| 109 | P3D, & |
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| 110 | PI3D, & |
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| 111 | QC3D, & |
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| 112 | QV3D, & |
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| 113 | T3D, & |
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| 114 | TH3D, & |
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| 115 | U3D, & |
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| 116 | V3D, & |
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| 117 | Z |
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| 118 | |
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| 119 | |
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| 120 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT) :: & |
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| 121 | RTHBLTEN, & |
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| 122 | RQCBLTEN, & |
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| 123 | RQVBLTEN, & |
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| 124 | RUBLTEN, & |
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| 125 | RVBLTEN |
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| 126 | |
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| 127 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(IN) :: & |
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| 128 | BR, & |
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| 129 | GZ1OZ0, & |
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| 130 | HFX, & |
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| 131 | PSFC, & |
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| 132 | PSIM, & |
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| 133 | PSIH, & |
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| 134 | QFX, & |
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| 135 | TSK |
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| 136 | |
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| 137 | REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT) :: & |
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| 138 | PBL, & |
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| 139 | UST, & |
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| 140 | WSPD |
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| 141 | |
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| 142 | INTEGER, DIMENSION(ims:ime, jms:jme), INTENT(OUT) :: & |
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| 143 | KPBL2D |
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| 144 | |
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| 145 | !--------------------------- OPTIONAL VARS ------------------------------ |
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| 146 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), & |
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| 147 | OPTIONAL, INTENT(IN) :: & |
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| 148 | QI3D |
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| 149 | |
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| 150 | REAL, DIMENSION(ims:ime, kms:kme, jms:jme), & |
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| 151 | OPTIONAL, INTENT(INOUT) :: & |
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| 152 | RQIBLTEN |
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| 153 | |
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| 154 | !--------------------------- LOCAL VARS ------------------------------ |
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| 155 | |
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| 156 | |
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| 157 | REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte) :: & |
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| 158 | DEL, & |
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| 159 | DU, & |
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| 160 | DV, & |
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| 161 | PHIL, & |
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| 162 | PRSL, & |
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| 163 | PRSLK, & |
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| 164 | T1, & |
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| 165 | TAU, & |
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| 166 | U1, & |
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| 167 | V1 |
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| 168 | |
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| 169 | REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte+1) :: & |
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| 170 | PHII, & |
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| 171 | PRSI |
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| 172 | |
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| 173 | REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte, 3) :: & |
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| 174 | Q1, & |
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| 175 | RTG |
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| 176 | |
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| 177 | REAL (kind=kind_phys), DIMENSION(its:ite) :: & |
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| 178 | DQSFC, & |
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| 179 | DTSFC, & |
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| 180 | DUSFC, & |
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| 181 | DVSFC, & |
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| 182 | EVAP, & |
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| 183 | FH, & |
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| 184 | FM, & |
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| 185 | HEAT, & |
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| 186 | HGAMQ, & |
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| 187 | HGAMT, & |
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| 188 | HPBL, & |
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| 189 | PSK, & |
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| 190 | QSS, & |
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| 191 | RBSOIL, & |
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| 192 | RCL, & |
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| 193 | SPD1, & |
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| 194 | STRESS, & |
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| 195 | TSEA |
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| 196 | |
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| 197 | REAL (kind=kind_phys) :: & |
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| 198 | CPM, & |
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| 199 | DELTIM, & |
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| 200 | FMTMP, & |
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| 201 | RRHOX |
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| 202 | |
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| 203 | INTEGER, DIMENSION( its:ite ) :: & |
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| 204 | KPBL |
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| 205 | |
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| 206 | INTEGER :: & |
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| 207 | I, & |
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| 208 | IM, & |
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| 209 | J, & |
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| 210 | K, & |
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| 211 | KM, & |
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| 212 | KTEM, & |
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| 213 | KTEP, & |
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| 214 | KX, & |
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| 215 | L, & |
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| 216 | NTRAC |
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| 217 | |
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| 218 | IM=ITE-ITS+1 |
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| 219 | KX=KTE-KTS+1 |
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| 220 | KTEM=KTE-1 |
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| 221 | KTEP=KTE+1 |
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| 222 | NTRAC=2 |
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| 223 | DELTIM=DT |
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| 224 | IF (flag_qi) NTRAC=3 |
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| 225 | |
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| 226 | |
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| 227 | DO J=jts,jte |
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| 228 | |
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| 229 | DO i=its,ite |
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| 230 | RRHOX=(R*T3D(I,KTS,J)*(1.+EP1*QV3D(I,KTS,J)))/PSFC(I,J) |
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| 231 | CPM=CP*(1.+0.8*QV3D(i,kts,j)) |
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| 232 | FMTMP=GZ1OZ0(i,j)-PSIM(i,j) |
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| 233 | PSK(i)=(PSFC(i,j)*.00001)**ROVCP |
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| 234 | FM(i)=FMTMP |
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| 235 | FH(i)=GZ1OZ0(i,j)-PSIH(i,j) |
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| 236 | TSEA(i)=TSK(i,j) |
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| 237 | QSS(i)=QV3D(i,kts,j) ! not used in moninp so set to qv3d for now |
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| 238 | HEAT(i)=HFX(i,j)/CPM*RRHOX |
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| 239 | EVAP(i)=QFX(i,j)*RRHOX |
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| 240 | STRESS(i)=KARMAN*KARMAN*WSPD(i,j)*WSPD(i,j)/(FMTMP*FMTMP) |
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| 241 | SPD1(i)=WSPD(i,j) |
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| 242 | PRSI(i,kts)=PSFC(i,j)*.001 |
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| 243 | PHII(I,kts)=0. |
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| 244 | RCL(i)=1. |
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| 245 | RBSOIL(I)=BR(i,j) |
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| 246 | ENDDO |
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| 247 | |
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| 248 | DO k=kts,kte |
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| 249 | DO i=its,ite |
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| 250 | DV(I,K) = 0. |
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| 251 | DU(I,K) = 0. |
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| 252 | TAU(I,K) = 0. |
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| 253 | U1(I,K) = U3D(i,k,j) |
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| 254 | V1(I,K) = V3D(i,k,j) |
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| 255 | T1(I,K) = T3D(i,k,j) |
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| 256 | Q1(I,K,1) = QV3D(i,k,j)/(1.+QV3D(i,k,j)) |
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| 257 | Q1(I,K,2) = QC3D(i,k,j)/(1.+QC3D(i,k,j)) |
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| 258 | PRSL(I,K)=P3D(i,k,j)*.001 |
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| 259 | ENDDO |
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| 260 | ENDDO |
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| 261 | |
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| 262 | DO k=kts,kte |
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| 263 | DO i=its,ite |
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| 264 | PRSLK(I,K)=(PRSL(i,k)*.01)**ROVCP |
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| 265 | ENDDO |
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| 266 | ENDDO |
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| 267 | |
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| 268 | DO k=kts+1,kte |
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| 269 | km=k-1 |
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| 270 | DO i=its,ite |
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| 271 | DEL(i,km)=PRSL(i,km)/ROVG*dz8w(i,km,j)/T3D(i,km,j) |
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| 272 | PRSI(i,k)=PRSI(i,km)-DEL(i,km) |
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| 273 | PHII(I,K)=(Z(i,k,j)-Z(i,kts,j))*G |
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| 274 | PHIL(I,KM)=0.5*(Z(i,k,j)+Z(i,km,j)-2.*Z(i,kts,j))*G |
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| 275 | ENDDO |
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| 276 | ENDDO |
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| 277 | |
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| 278 | DO i=its,ite |
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| 279 | DEL(i,kte)=DEL(i,ktem) |
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| 280 | PRSI(i,ktep)=PRSI(i,kte)-DEL(i,ktem) |
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| 281 | PHII(I,KTEP)=PHII(I,KTE)+dz8w(i,kte,j)*G |
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| 282 | PHIL(I,KTE)=PHII(I,KTE)-PHIL(I,KTEM)+PHII(I,KTE) |
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| 283 | ENDDO |
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| 284 | |
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| 285 | IF (flag_QI .AND. PRESENT( QI3D ) ) THEN |
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| 286 | DO k=kts,kte |
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| 287 | DO i=its,ite |
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| 288 | Q1(I,K,3) = QI3D(i,k,j)/(1.+QI3D(i,k,j)) |
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| 289 | ENDDO |
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| 290 | ENDDO |
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| 291 | ENDIF |
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| 292 | |
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| 293 | DO l=1,ntrac |
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| 294 | DO k=kts,kte |
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| 295 | DO i=its,ite |
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| 296 | RTG(I,K,L) = 0. |
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| 297 | ENDDO |
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| 298 | ENDDO |
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| 299 | ENDDO |
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| 300 | |
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| 301 | CALL MONINP(IM,IM,KX,NTRAC,DV,DU,TAU,RTG,U1,V1,T1,Q1, & |
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| 302 | PSK,RBSOIL,FM,FH,TSEA,QSS,HEAT,EVAP,STRESS, & |
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| 303 | SPD1,KPBL,PRSI,DEL,PRSL,PRSLK,PHII,PHIL,RCL, & |
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| 304 | DELTIM,DUSFC,DVSFC,DTSFC,DQSFC,HPBL,HGAMT,HGAMQ) |
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| 305 | |
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| 306 | |
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| 307 | DO k=kts,kte |
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| 308 | DO i=its,ite |
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| 309 | RVBLTEN(I,K,J)=DV(I,K) |
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| 310 | RUBLTEN(I,K,J)=DU(I,K) |
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| 311 | RTHBLTEN(I,K,J)=TAU(I,K)/PI3D(I,K,J) |
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| 312 | RQVBLTEN(I,K,J)=RTG(I,K,1)/(1.-Q1(I,K,1))**2 |
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| 313 | RQCBLTEN(I,K,J)=RTG(I,K,2)/(1.-Q1(I,K,2))**2 |
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| 314 | ENDDO |
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| 315 | ENDDO |
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| 316 | |
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| 317 | IF (flag_QI .AND. PRESENT( RQIBLTEN )) THEN |
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| 318 | DO k=kts,kte |
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| 319 | DO i=its,ite |
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| 320 | RQIBLTEN(I,K,J)=RTG(I,K,3)/(1.-Q1(I,K,3))**2 |
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| 321 | ENDDO |
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| 322 | ENDDO |
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| 323 | ENDIF |
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| 324 | |
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| 325 | DO i=its,ite |
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| 326 | UST(i,j)=SQRT(STRESS(i)) |
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| 327 | WSPD(i,j)=SQRT(U3D(I,KTS,J)*U3D(I,KTS,J)+ & |
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| 328 | V3D(I,KTS,J)*V3D(I,KTS,J))+1.E-9 |
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| 329 | PBL(i,j)=HPBL(i) |
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| 330 | KPBL2D(i,j)=kpbl(i) |
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| 331 | ENDDO |
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| 332 | |
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| 333 | ENDDO |
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| 334 | |
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| 335 | |
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| 336 | END SUBROUTINE BL_GFS |
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| 337 | |
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| 338 | !=================================================================== |
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| 339 | SUBROUTINE gfsinit(RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN, & |
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| 340 | RQCBLTEN,RQIBLTEN,P_QI,P_FIRST_SCALAR, & |
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| 341 | restart, & |
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| 342 | allowed_to_read, & |
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| 343 | ids, ide, jds, jde, kds, kde, & |
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| 344 | ims, ime, jms, jme, kms, kme, & |
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| 345 | its, ite, jts, jte, kts, kte ) |
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| 346 | !------------------------------------------------------------------- |
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| 347 | IMPLICIT NONE |
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| 348 | !------------------------------------------------------------------- |
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| 349 | LOGICAL , INTENT(IN) :: allowed_to_read,restart |
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| 350 | INTEGER , INTENT(IN) :: ids, ide, jds, jde, kds, kde, & |
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| 351 | ims, ime, jms, jme, kms, kme, & |
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| 352 | its, ite, jts, jte, kts, kte |
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| 353 | INTEGER , INTENT(IN) :: P_QI, P_FIRST_SCALAR |
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| 354 | |
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| 355 | REAL , DIMENSION( ims:ime , kms:kme , jms:jme ) , INTENT(OUT) :: & |
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| 356 | RUBLTEN, & |
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| 357 | RVBLTEN, & |
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| 358 | RTHBLTEN, & |
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| 359 | RQVBLTEN, & |
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| 360 | RQCBLTEN, & |
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| 361 | RQIBLTEN |
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| 362 | INTEGER :: i, j, k, itf, jtf, ktf |
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| 363 | |
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| 364 | jtf=min0(jte,jde-1) |
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| 365 | ktf=min0(kte,kde-1) |
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| 366 | itf=min0(ite,ide-1) |
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| 367 | |
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| 368 | IF(.not.restart)THEN |
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| 369 | DO j=jts,jtf |
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| 370 | DO k=kts,ktf |
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| 371 | DO i=its,itf |
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| 372 | RUBLTEN(i,k,j)=0. |
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| 373 | RVBLTEN(i,k,j)=0. |
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| 374 | RTHBLTEN(i,k,j)=0. |
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| 375 | RQVBLTEN(i,k,j)=0. |
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| 376 | RQCBLTEN(i,k,j)=0. |
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| 377 | ENDDO |
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| 378 | ENDDO |
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| 379 | ENDDO |
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| 380 | ENDIF |
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| 381 | |
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| 382 | IF (P_QI .ge. P_FIRST_SCALAR .and. .not.restart) THEN |
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| 383 | DO j=jts,jtf |
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| 384 | DO k=kts,ktf |
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| 385 | DO i=its,itf |
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| 386 | RQIBLTEN(i,k,j)=0. |
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| 387 | ENDDO |
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| 388 | ENDDO |
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| 389 | ENDDO |
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| 390 | ENDIF |
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| 391 | |
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| 392 | END SUBROUTINE gfsinit |
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| 393 | |
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| 394 | ! -------------------------------------------------------------- |
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| 395 | !FPP$ NOCONCUR R |
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| 396 | SUBROUTINE MONINP(IX,IM,KM,ntrac,DV,DU,TAU,RTG, & |
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| 397 | & U1,V1,T1,Q1, & |
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| 398 | & PSK,RBSOIL,FM,FH,TSEA,QSS,HEAT,EVAP,STRESS,SPD1,KPBL, & |
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| 399 | ! & PSK,RBSOIL,CD,CH,FM,FH,TSEA,QSS,DPHI,SPD1,KPBL, & |
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| 400 | & PRSI,DEL,PRSL,PRSLK,PHII,PHIL,RCL,DELTIM, & |
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| 401 | & DUSFC,DVSFC,DTSFC,DQSFC,HPBL,HGAMT,HGAMQ) |
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| 402 | ! |
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| 403 | USE MODULE_GFS_MACHINE, ONLY : kind_phys |
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| 404 | USE MODULE_GFS_PHYSCONS, grav => con_g, RD => con_RD, CP => con_CP & |
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| 405 | &, HVAP => con_HVAP, ROG => con_ROG, FV => con_FVirt |
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| 406 | |
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| 407 | implicit none |
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| 408 | ! |
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| 409 | ! include 'constant.h' |
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| 410 | ! |
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| 411 | ! |
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| 412 | ! Arguments |
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| 413 | ! |
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| 414 | integer IX, IM, KM, ntrac, KPBL(IM) |
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| 415 | ! |
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| 416 | real(kind=kind_phys) DELTIM |
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| 417 | real(kind=kind_phys) DV(IM,KM), DU(IM,KM), & |
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| 418 | & TAU(IM,KM), RTG(IM,KM,ntrac), & |
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| 419 | & U1(IX,KM), V1(IX,KM), & |
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| 420 | & T1(IX,KM), Q1(IX,KM,ntrac), & |
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| 421 | & PSK(IM), RBSOIL(IM), & |
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| 422 | ! & CD(IM), CH(IM), & |
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| 423 | & FM(IM), FH(IM), & |
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| 424 | & TSEA(IM), QSS(IM), & |
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| 425 | & SPD1(IM), & |
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| 426 | ! & DPHI(IM), SPD1(IM), & |
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| 427 | & PRSI(IX,KM+1), DEL(IX,KM), & |
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| 428 | & PRSL(IX,KM), PRSLK(IX,KM), & |
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| 429 | & PHII(IX,KM+1), PHIL(IX,KM), & |
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| 430 | & RCL(IM), DUSFC(IM), & |
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| 431 | & dvsfc(IM), dtsfc(IM), & |
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| 432 | & DQSFC(IM), HPBL(IM), & |
---|
| 433 | & HGAMT(IM), hgamq(IM) |
---|
| 434 | ! |
---|
| 435 | ! Locals |
---|
| 436 | ! |
---|
| 437 | integer i,iprt,is,iun,k,kk,kmpbl,lond |
---|
| 438 | ! real(kind=kind_phys) betaq(IM), betat(IM), betaw(IM), & |
---|
| 439 | real(kind=kind_phys) evap(IM), heat(IM), phih(IM), & |
---|
| 440 | & phim(IM), rbdn(IM), rbup(IM), & |
---|
| 441 | & the1(IM), stress(im), beta(im), & |
---|
| 442 | & the1v(IM), thekv(IM), thermal(IM), & |
---|
| 443 | & thesv(IM), ustar(IM), wscale(IM) |
---|
| 444 | ! & thesv(IM), ustar(IM), wscale(IM), zl1(IM) |
---|
| 445 | ! |
---|
| 446 | real(kind=kind_phys) RDZT(IM,KM-1), & |
---|
| 447 | & ZI(IM,KM+1), ZL(IM,KM), & |
---|
| 448 | & DKU(IM,KM-1), DKT(IM,KM-1), DKO(IM,KM-1), & |
---|
| 449 | & AL(IM,KM-1), AD(IM,KM), & |
---|
| 450 | & AU(IM,KM-1), A1(IM,KM), & |
---|
| 451 | & A2(IM,KM), THETA(IM,KM), & |
---|
| 452 | & AT(IM,KM*(ntrac-1)) |
---|
| 453 | logical pblflg(IM), sfcflg(IM), stable(IM) |
---|
| 454 | ! |
---|
| 455 | real(kind=kind_phys) aphi16, aphi5, bet1, bvf2, & |
---|
| 456 | & cfac, conq, cont, conw, & |
---|
| 457 | & conwrc, dk, dkmax, dkmin, & |
---|
| 458 | & dq1, dsdz2, dsdzq, dsdzt, & |
---|
| 459 | & dsig, dt, dthe1, dtodsd, & |
---|
| 460 | & dtodsu, dw2, dw2min, g, & |
---|
| 461 | & gamcrq, gamcrt, gocp, gor, gravi, & |
---|
| 462 | & hol, pfac, prmax, prmin, prinv, & |
---|
| 463 | & prnum, qmin, qtend, rbcr, & |
---|
| 464 | & rbint, rdt, rdz, rdzt1, & |
---|
| 465 | & ri, rimin, rl2, rlam, & |
---|
| 466 | & rone, rzero, sfcfrac, & |
---|
| 467 | & sflux, shr2, spdk2, sri, & |
---|
| 468 | & tem, ti, ttend, tvd, & |
---|
| 469 | & tvu, utend, vk, vk2, & |
---|
| 470 | & vpert, vtend, xkzo, zfac, & |
---|
| 471 | & zfmin, zk, tem1 |
---|
| 472 | ! |
---|
| 473 | PARAMETER(g=grav) |
---|
| 474 | PARAMETER(GOR=G/RD,GOCP=G/CP) |
---|
| 475 | PARAMETER(CONT=1000.*CP/G,CONQ=1000.*HVAP/G,CONW=1000./G) |
---|
| 476 | PARAMETER(RLAM=150.,VK=0.4,VK2=VK*VK,PRMIN=1.0,PRMAX=4.) |
---|
| 477 | PARAMETER(DW2MIN=0.0001,DKMIN=1.0,DKMAX=1000.,RIMIN=-100.) |
---|
| 478 | PARAMETER(RBCR=0.5,CFAC=7.8,PFAC=2.0,SFCFRAC=0.1) |
---|
| 479 | PARAMETER(QMIN=1.E-8,XKZO=1.0,ZFMIN=1.E-8,APHI5=5.,APHI16=16.) |
---|
| 480 | ! PARAMETER(GAMCRT=3.,GAMCRQ=2.E-3) |
---|
| 481 | PARAMETER(GAMCRT=3.,GAMCRQ=0.) |
---|
| 482 | PARAMETER(RZERO=0.,RONE=1.) |
---|
| 483 | PARAMETER(IUN=84) |
---|
| 484 | ! |
---|
| 485 | ! |
---|
| 486 | !----------------------------------------------------------------------- |
---|
| 487 | ! |
---|
| 488 | 601 FORMAT(1X,' MONINP LAT LON STEP HOUR ',3I6,F6.1) |
---|
| 489 | 602 FORMAT(1X,' K',' Z',' T',' TH', & |
---|
| 490 | & ' TVH',' Q',' U',' V', & |
---|
| 491 | & ' SP') |
---|
| 492 | 603 FORMAT(1X,I5,8F9.1) |
---|
| 493 | 604 FORMAT(1X,' SFC',9X,F9.1,18X,F9.1) |
---|
| 494 | 605 FORMAT(1X,' K ZL SPD2 THEKV THE1V' & |
---|
| 495 | & ,' THERMAL RBUP') |
---|
| 496 | 606 FORMAT(1X,I5,6F8.2) |
---|
| 497 | 607 FORMAT(1X,' KPBL HPBL FM FH HGAMT', & |
---|
| 498 | & ' HGAMQ WS USTAR CD CH') |
---|
| 499 | 608 FORMAT(1X,I5,9F8.2) |
---|
| 500 | 609 FORMAT(1X,' K PR DKT DKU ',I5,3F8.2) |
---|
| 501 | 610 FORMAT(1X,' K PR DKT DKU ',I5,3F8.2,' L2 RI T2', & |
---|
| 502 | & ' SR2 ',2F8.2,2E10.2) |
---|
| 503 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
---|
| 504 | ! COMPUTE PRELIMINARY VARIABLES |
---|
| 505 | ! |
---|
| 506 | |
---|
| 507 | if (IX .lt. im) stop |
---|
| 508 | ! |
---|
| 509 | IPRT = 0 |
---|
| 510 | IF(IPRT.EQ.1) THEN |
---|
| 511 | !!! LATD = 0 |
---|
| 512 | LOND = 0 |
---|
| 513 | ELSE |
---|
| 514 | !!! LATD = 0 |
---|
| 515 | LOND = 0 |
---|
| 516 | ENDIF |
---|
| 517 | ! |
---|
| 518 | gravi = 1.0 / grav |
---|
| 519 | DT = 2. * DELTIM |
---|
| 520 | RDT = 1. / DT |
---|
| 521 | KMPBL = KM / 2 |
---|
| 522 | ! |
---|
| 523 | do k=1,km |
---|
| 524 | do i=1,im |
---|
| 525 | zi(i,k) = phii(i,k) * gravi |
---|
| 526 | zl(i,k) = phil(i,k) * gravi |
---|
| 527 | enddo |
---|
| 528 | enddo |
---|
| 529 | ! |
---|
| 530 | do k=1,kmpbl |
---|
| 531 | do i=1,im |
---|
| 532 | theta(i,k) = t1(i,k) * psk(i) / prslk(i,k) |
---|
| 533 | enddo |
---|
| 534 | enddo |
---|
| 535 | ! |
---|
| 536 | DO K = 1,KM-1 |
---|
| 537 | DO I=1,IM |
---|
| 538 | RDZT(I,K) = GOR * PRSI(I,K+1) / (PRSL(I,K) - PRSL(I,K+1)) |
---|
| 539 | ENDDO |
---|
| 540 | ENDDO |
---|
| 541 | ! |
---|
| 542 | DO I = 1,IM |
---|
| 543 | DUSFC(I) = 0. |
---|
| 544 | DVSFC(I) = 0. |
---|
| 545 | DTSFC(I) = 0. |
---|
| 546 | DQSFC(I) = 0. |
---|
| 547 | HGAMT(I) = 0. |
---|
| 548 | HGAMQ(I) = 0. |
---|
| 549 | WSCALE(I) = 0. |
---|
| 550 | KPBL(I) = 1 |
---|
| 551 | HPBL(I) = ZI(I,2) |
---|
| 552 | PBLFLG(I) = .TRUE. |
---|
| 553 | SFCFLG(I) = .TRUE. |
---|
| 554 | IF(RBSOIL(I).GT.0.0) SFCFLG(I) = .FALSE. |
---|
| 555 | ENDDO |
---|
| 556 | !! |
---|
| 557 | DO I=1,IM |
---|
| 558 | RDZT1 = GOR * prSL(i,1) / DEL(i,1) |
---|
| 559 | ! BET1 = DT*RDZT1*SPD1(I)/T1(I,1) |
---|
| 560 | BETA(I) = DT*RDZT1/T1(I,1) |
---|
| 561 | ! BETAW(I) = BET1*CD(I) |
---|
| 562 | ! BETAT(I) = BET1*CH(I) |
---|
| 563 | ! BETAQ(I) = DPHI(I)*BETAT(I) |
---|
| 564 | ENDDO |
---|
| 565 | ! |
---|
| 566 | DO I=1,IM |
---|
| 567 | ! ZL1(i) = 0.-(T1(I,1)+TSEA(I))/2.*LOG(PRSL(I,1)/PRSI(I,1))*ROG |
---|
| 568 | ! USTAR(I) = SQRT(CD(I)*SPD1(I)**2) |
---|
| 569 | USTAR(I) = SQRT(STRESS(I)) |
---|
| 570 | ENDDO |
---|
| 571 | ! |
---|
| 572 | DO I=1,IM |
---|
| 573 | THESV(I) = TSEA(I)*(1.+FV*MAX(QSS(I),QMIN)) |
---|
| 574 | THE1(I) = THETA(I,1) |
---|
| 575 | THE1V(I) = THE1(I)*(1.+FV*MAX(Q1(I,1,1),QMIN)) |
---|
| 576 | THERMAL(I) = THE1V(I) |
---|
| 577 | ! DTHE1 = (THE1(I)-TSEA(I)) |
---|
| 578 | ! DQ1 = (MAX(Q1(I,1,1),QMIN) - MAX(QSS(I),QMIN)) |
---|
| 579 | ! HEAT(I) = -CH(I)*SPD1(I)*DTHE1 |
---|
| 580 | ! EVAP(I) = -CH(I)*SPD1(I)*DQ1 |
---|
| 581 | ENDDO |
---|
| 582 | ! |
---|
| 583 | ! |
---|
| 584 | ! COMPUTE THE FIRST GUESS OF PBL HEIGHT |
---|
| 585 | ! |
---|
| 586 | DO I=1,IM |
---|
| 587 | STABLE(I) = .FALSE. |
---|
| 588 | ! ZL(i,1) = ZL1(i) |
---|
| 589 | RBUP(I) = RBSOIL(I) |
---|
| 590 | ENDDO |
---|
| 591 | DO K = 2, KMPBL |
---|
| 592 | DO I = 1, IM |
---|
| 593 | IF(.NOT.STABLE(I)) THEN |
---|
| 594 | RBDN(I) = RBUP(I) |
---|
| 595 | ! ZL(I,k) = ZL(I,K-1) - (T1(i,k)+T1(i,K-1))/2 * |
---|
| 596 | ! & LOG(PRSL(I,K)/PRSL(I,K-1)) * ROG |
---|
| 597 | THEKV(I) = THETA(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) |
---|
| 598 | SPDK2 = MAX(RCL(i)*(U1(i,k)*U1(i,k)+V1(i,k)*V1(i,k)),RONE) |
---|
| 599 | RBUP(I) = (THEKV(I)-THE1V(I))*(G*ZL(I,k)/THE1V(I))/SPDK2 |
---|
| 600 | KPBL(I) = K |
---|
| 601 | STABLE(I) = RBUP(I).GT.RBCR |
---|
| 602 | ENDIF |
---|
| 603 | ENDDO |
---|
| 604 | ENDDO |
---|
| 605 | ! |
---|
| 606 | DO I = 1,IM |
---|
| 607 | K = KPBL(I) |
---|
| 608 | IF(RBDN(I).GE.RBCR) THEN |
---|
| 609 | RBINT = 0. |
---|
| 610 | ELSEIF(RBUP(I).LE.RBCR) THEN |
---|
| 611 | RBINT = 1. |
---|
| 612 | ELSE |
---|
| 613 | RBINT = (RBCR-RBDN(I))/(RBUP(I)-RBDN(I)) |
---|
| 614 | ENDIF |
---|
| 615 | HPBL(I) = ZL(I,K-1) + RBINT*(ZL(I,K)-ZL(I,K-1)) |
---|
| 616 | IF(HPBL(I).LT.ZI(I,KPBL(I))) KPBL(I) = KPBL(I) - 1 |
---|
| 617 | ENDDO |
---|
| 618 | !! |
---|
| 619 | DO I=1,IM |
---|
| 620 | HOL = MAX(RBSOIL(I)*FM(I)*FM(I)/FH(I),RIMIN) |
---|
| 621 | IF(SFCFLG(I)) THEN |
---|
| 622 | HOL = MIN(HOL,-ZFMIN) |
---|
| 623 | ELSE |
---|
| 624 | HOL = MAX(HOL,ZFMIN) |
---|
| 625 | ENDIF |
---|
| 626 | ! |
---|
| 627 | ! HOL = HOL*HPBL(I)/ZL1(I)*SFCFRAC |
---|
| 628 | HOL = HOL*HPBL(I)/ZL(I,1)*SFCFRAC |
---|
| 629 | IF(SFCFLG(I)) THEN |
---|
| 630 | ! PHIM = (1.-APHI16*HOL)**(-1./4.) |
---|
| 631 | ! PHIH = (1.-APHI16*HOL)**(-1./2.) |
---|
| 632 | TEM = 1.0 / (1. - APHI16*HOL) |
---|
| 633 | PHIH(I) = SQRT(TEM) |
---|
| 634 | PHIM(I) = SQRT(PHIH(I)) |
---|
| 635 | ELSE |
---|
| 636 | PHIM(I) = (1.+APHI5*HOL) |
---|
| 637 | PHIH(I) = PHIM(I) |
---|
| 638 | ENDIF |
---|
| 639 | WSCALE(I) = USTAR(I)/PHIM(I) |
---|
| 640 | WSCALE(I) = MIN(WSCALE(I),USTAR(I)*APHI16) |
---|
| 641 | WSCALE(I) = MAX(WSCALE(I),USTAR(I)/APHI5) |
---|
| 642 | ENDDO |
---|
| 643 | ! |
---|
| 644 | ! COMPUTE THE SURFACE VARIABLES FOR PBL HEIGHT ESTIMATION |
---|
| 645 | ! UNDER UNSTABLE CONDITIONS |
---|
| 646 | ! |
---|
| 647 | DO I = 1,IM |
---|
| 648 | SFLUX = HEAT(I) + EVAP(I)*FV*THE1(I) |
---|
| 649 | IF(SFCFLG(I).AND.SFLUX.GT.0.0) THEN |
---|
| 650 | HGAMT(I) = MIN(CFAC*HEAT(I)/WSCALE(I),GAMCRT) |
---|
| 651 | HGAMQ(I) = MIN(CFAC*EVAP(I)/WSCALE(I),GAMCRQ) |
---|
| 652 | VPERT = HGAMT(I) + FV*THE1(I)*HGAMQ(I) |
---|
| 653 | VPERT = MIN(VPERT,GAMCRT) |
---|
| 654 | THERMAL(I) = THERMAL(I) + MAX(VPERT,RZERO) |
---|
| 655 | HGAMT(I) = MAX(HGAMT(I),RZERO) |
---|
| 656 | HGAMQ(I) = MAX(HGAMQ(I),RZERO) |
---|
| 657 | ELSE |
---|
| 658 | PBLFLG(I) = .FALSE. |
---|
| 659 | ENDIF |
---|
| 660 | ENDDO |
---|
| 661 | ! |
---|
| 662 | DO I = 1,IM |
---|
| 663 | IF(PBLFLG(I)) THEN |
---|
| 664 | KPBL(I) = 1 |
---|
| 665 | HPBL(I) = ZI(I,2) |
---|
| 666 | ENDIF |
---|
| 667 | ENDDO |
---|
| 668 | ! |
---|
| 669 | ! ENHANCE THE PBL HEIGHT BY CONSIDERING THE THERMAL |
---|
| 670 | ! |
---|
| 671 | DO I = 1, IM |
---|
| 672 | IF(PBLFLG(I)) THEN |
---|
| 673 | STABLE(I) = .FALSE. |
---|
| 674 | RBUP(I) = RBSOIL(I) |
---|
| 675 | ENDIF |
---|
| 676 | ENDDO |
---|
| 677 | DO K = 2, KMPBL |
---|
| 678 | DO I = 1, IM |
---|
| 679 | IF(.NOT.STABLE(I).AND.PBLFLG(I)) THEN |
---|
| 680 | RBDN(I) = RBUP(I) |
---|
| 681 | ! ZL(I,k) = ZL(I,K-1) - (T1(i,k)+T1(i,K-1))/2 * |
---|
| 682 | ! & LOG(PRSL(I,K)/PRSL(I,K-1)) * ROG |
---|
| 683 | THEKV(I) = THETA(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) |
---|
| 684 | SPDK2 = MAX(RCL(i)*(U1(i,k)*U1(i,k)+V1(i,k)*V1(i,k)),RONE) |
---|
| 685 | RBUP(I) = (THEKV(I)-THERMAL(I))*(G*ZL(I,k)/THE1V(I))/SPDK2 |
---|
| 686 | KPBL(I) = K |
---|
| 687 | STABLE(I) = RBUP(I).GT.RBCR |
---|
| 688 | ENDIF |
---|
| 689 | ENDDO |
---|
| 690 | ENDDO |
---|
| 691 | ! |
---|
| 692 | DO I = 1,IM |
---|
| 693 | IF(PBLFLG(I)) THEN |
---|
| 694 | K = KPBL(I) |
---|
| 695 | IF(RBDN(I).GE.RBCR) THEN |
---|
| 696 | RBINT = 0. |
---|
| 697 | ELSEIF(RBUP(I).LE.RBCR) THEN |
---|
| 698 | RBINT = 1. |
---|
| 699 | ELSE |
---|
| 700 | RBINT = (RBCR-RBDN(I))/(RBUP(I)-RBDN(I)) |
---|
| 701 | ENDIF |
---|
| 702 | HPBL(I) = ZL(I,K-1) + RBINT*(ZL(I,k)-ZL(I,K-1)) |
---|
| 703 | IF(HPBL(I).LT.ZI(I,KPBL(I))) KPBL(I) = KPBL(I) - 1 |
---|
| 704 | IF(KPBL(I).LE.1) PBLFLG(I) = .FALSE. |
---|
| 705 | ENDIF |
---|
| 706 | ENDDO |
---|
| 707 | !! |
---|
| 708 | ! |
---|
| 709 | ! COMPUTE DIFFUSION COEFFICIENTS BELOW PBL |
---|
| 710 | ! |
---|
| 711 | DO K = 1, KMPBL |
---|
| 712 | DO I=1,IM |
---|
| 713 | IF(KPBL(I).GT.K) THEN |
---|
| 714 | PRINV = 1.0 / (PHIH(I)/PHIM(I)+CFAC*VK*.1) |
---|
| 715 | PRINV = MIN(PRINV,PRMAX) |
---|
| 716 | PRINV = MAX(PRINV,PRMIN) |
---|
| 717 | ! ZFAC = MAX((1.-(ZI(I,K+1)-ZL1(I))/ & |
---|
| 718 | ! & (HPBL(I)-ZL1(I))), ZFMIN) |
---|
| 719 | ZFAC = MAX((1.-(ZI(I,K+1)-ZL(I,1))/ & |
---|
| 720 | & (HPBL(I)-ZL(I,1))), ZFMIN) |
---|
| 721 | DKU(i,k) = XKZO + WSCALE(I)*VK*ZI(I,K+1) & |
---|
| 722 | & * ZFAC**PFAC |
---|
| 723 | DKT(i,k) = DKU(i,k)*PRINV |
---|
| 724 | DKO(i,k) = (DKU(i,k)-XKZO)*PRINV |
---|
| 725 | DKU(i,k) = MIN(DKU(i,k),DKMAX) |
---|
| 726 | DKU(i,k) = MAX(DKU(i,k),DKMIN) |
---|
| 727 | DKT(i,k) = MIN(DKT(i,k),DKMAX) |
---|
| 728 | DKT(i,k) = MAX(DKT(i,k),DKMIN) |
---|
| 729 | DKO(i,k) = MAX(RZERO, MIN(DKMAX, DKO(i,k))) |
---|
| 730 | ENDIF |
---|
| 731 | ENDDO |
---|
| 732 | ENDDO |
---|
| 733 | ! |
---|
| 734 | ! COMPUTE DIFFUSION COEFFICIENTS OVER PBL (FREE ATMOSPHERE) |
---|
| 735 | ! |
---|
| 736 | DO K = 1, KM-1 |
---|
| 737 | DO I=1,IM |
---|
| 738 | IF(K.GE.KPBL(I)) THEN |
---|
| 739 | ! TI = 0.5*(T1(i,k)+T1(i,K+1)) |
---|
| 740 | TI = 2.0 / (T1(i,k)+T1(i,K+1)) |
---|
| 741 | ! RDZ = RDZT(I,K)/TI |
---|
| 742 | RDZ = RDZT(I,K) * TI |
---|
| 743 | ! RDZ = RDZT(I,K) |
---|
| 744 | DW2 = RCL(i)*((U1(i,k)-U1(i,K+1))**2 & |
---|
| 745 | & + (V1(i,k)-V1(i,K+1))**2) |
---|
| 746 | SHR2 = MAX(DW2,DW2MIN)*RDZ**2 |
---|
| 747 | TVD = T1(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) |
---|
| 748 | TVU = T1(i,K+1)*(1.+FV*MAX(Q1(i,K+1,1),QMIN)) |
---|
| 749 | ! BVF2 = G*(GOCP+RDZ*(TVU-TVD))/TI |
---|
| 750 | BVF2 = G*(GOCP+RDZ*(TVU-TVD)) * TI |
---|
| 751 | RI = MAX(BVF2/SHR2,RIMIN) |
---|
| 752 | ZK = VK*ZI(I,K+1) |
---|
| 753 | ! RL2 = (ZK*RLAM/(RLAM+ZK))**2 |
---|
| 754 | ! DK = RL2*SQRT(SHR2) |
---|
| 755 | RL2 = ZK*RLAM/(RLAM+ZK) |
---|
| 756 | DK = RL2*RL2*SQRT(SHR2) |
---|
| 757 | IF(RI.LT.0.) THEN ! UNSTABLE REGIME |
---|
| 758 | SRI = SQRT(-RI) |
---|
| 759 | DKU(i,k) = XKZO + DK*(1+8.*(-RI)/(1+1.746*SRI)) |
---|
| 760 | ! DKT(i,k) = XKZO + DK*(1+8.*(-RI)/(1+1.286*SRI)) |
---|
| 761 | tem = DK*(1+8.*(-RI)/(1+1.286*SRI)) |
---|
| 762 | DKT(i,k) = XKZO + tem |
---|
| 763 | DKO(i,k) = tem |
---|
| 764 | ELSE ! STABLE REGIME |
---|
| 765 | ! DKT(i,k) = XKZO + DK/(1+5.*RI)**2 |
---|
| 766 | tem = DK/(1+5.*RI)**2 |
---|
| 767 | DKT(i,k) = XKZO + tem |
---|
| 768 | DKO(i,k) = tem |
---|
| 769 | PRNUM = 1.0 + 2.1*RI |
---|
| 770 | PRNUM = MIN(PRNUM,PRMAX) |
---|
| 771 | DKU(i,k) = (DKT(i,k)-XKZO)*PRNUM + XKZO |
---|
| 772 | ENDIF |
---|
| 773 | ! |
---|
| 774 | DKU(i,k) = MIN(DKU(i,k),DKMAX) |
---|
| 775 | DKU(i,k) = MAX(DKU(i,k),DKMIN) |
---|
| 776 | DKT(i,k) = MIN(DKT(i,k),DKMAX) |
---|
| 777 | DKT(i,k) = MAX(DKT(i,k),DKMIN) |
---|
| 778 | DKO(i,k) = MAX(RZERO, MIN(DKMAX, DKO(i,k))) |
---|
| 779 | ! |
---|
| 780 | !!! IF(I.EQ.LOND.AND.LAT.EQ.LATD) THEN |
---|
| 781 | !!! PRNUM = DKU(k)/DKT(k) |
---|
| 782 | !!! WRITE(IUN,610) K,PRNUM,DKT(k),DKU(k),RL2,RI, |
---|
| 783 | !!! 1 BVF2,SHR2 |
---|
| 784 | !!! ENDIF |
---|
| 785 | ! |
---|
| 786 | ENDIF |
---|
| 787 | ENDDO |
---|
| 788 | ENDDO |
---|
| 789 | ! |
---|
| 790 | ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR HEAT AND MOISTURE |
---|
| 791 | ! |
---|
| 792 | DO I=1,IM |
---|
| 793 | AD(I,1) = 1. |
---|
| 794 | A1(I,1) = T1(i,1) + BETA(i) * HEAT(I) |
---|
| 795 | A2(I,1) = Q1(i,1,1) + BETA(i) * EVAP(I) |
---|
| 796 | ! A1(I,1) = T1(i,1)-BETAT(I)*(THETA(i,1)-TSEA(I)) |
---|
| 797 | ! A2(I,1) = Q1(i,1,1)-BETAQ(I)* |
---|
| 798 | ! & (MAX(Q1(i,1,1),QMIN)-MAX(QSS(I),QMIN)) |
---|
| 799 | ENDDO |
---|
| 800 | ! |
---|
| 801 | DO K = 1,KM-1 |
---|
| 802 | DO I = 1,IM |
---|
| 803 | DTODSD = DT/DEL(I,K) |
---|
| 804 | DTODSU = DT/DEL(I,K+1) |
---|
| 805 | DSIG = PRSL(I,K)-PRSL(I,K+1) |
---|
| 806 | RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,K+1)) |
---|
| 807 | ! RDZ = RDZT(I,K) |
---|
| 808 | tem1 = DSIG * DKT(i,k) * RDZ |
---|
| 809 | IF(PBLFLG(I).AND.K.LT.KPBL(I)) THEN |
---|
| 810 | ! DSDZT = DSIG*DKT(i,k)*RDZ*(GOCP-HGAMT(I)/HPBL(I)) |
---|
| 811 | ! DSDZQ = DSIG*DKT(i,k)*RDZ*(-HGAMQ(I)/HPBL(I)) |
---|
| 812 | tem = 1.0 / HPBL(I) |
---|
| 813 | DSDZT = tem1 * (GOCP-HGAMT(I)*tem) |
---|
| 814 | DSDZQ = tem1 * (-HGAMQ(I)*tem) |
---|
| 815 | A2(I,k) = A2(I,k)+DTODSD*DSDZQ |
---|
| 816 | A2(I,k+1) = Q1(i,k+1,1)-DTODSU*DSDZQ |
---|
| 817 | ELSE |
---|
| 818 | ! DSDZT = DSIG*DKT(i,k)*RDZ*(GOCP) |
---|
| 819 | DSDZT = tem1 * GOCP |
---|
| 820 | A2(I,k+1) = Q1(i,k+1,1) |
---|
| 821 | ENDIF |
---|
| 822 | ! DSDZ2 = DSIG*DKT(i,k)*RDZ*RDZ |
---|
| 823 | DSDZ2 = tem1 * RDZ |
---|
| 824 | AU(I,k) = -DTODSD*DSDZ2 |
---|
| 825 | AL(I,k) = -DTODSU*DSDZ2 |
---|
| 826 | AD(I,k) = AD(I,k)-AU(I,k) |
---|
| 827 | AD(I,k+1) = 1.-AL(I,k) |
---|
| 828 | A1(I,k) = A1(I,k)+DTODSD*DSDZT |
---|
| 829 | A1(I,k+1) = T1(i,k+1)-DTODSU*DSDZT |
---|
| 830 | ENDDO |
---|
| 831 | ENDDO |
---|
| 832 | ! |
---|
| 833 | ! SOLVE TRIDIAGONAL PROBLEM FOR HEAT AND MOISTURE |
---|
| 834 | ! |
---|
| 835 | CALL TRIDIN(IM,KM,1,AL,AD,AU,A1,A2,AU,A1,A2) |
---|
| 836 | ! |
---|
| 837 | ! RECOVER TENDENCIES OF HEAT AND MOISTURE |
---|
| 838 | ! |
---|
| 839 | DO K = 1,KM |
---|
| 840 | DO I = 1,IM |
---|
| 841 | TTEND = (A1(I,k)-T1(i,k))*RDT |
---|
| 842 | QTEND = (A2(I,k)-Q1(i,k,1))*RDT |
---|
| 843 | TAU(i,k) = TAU(i,k)+TTEND |
---|
| 844 | RTG(I,k,1) = RTG(i,k,1)+QTEND |
---|
| 845 | DTSFC(I) = DTSFC(I)+CONT*DEL(I,K)*TTEND |
---|
| 846 | DQSFC(I) = DQSFC(I)+CONQ*DEL(I,K)*QTEND |
---|
| 847 | ENDDO |
---|
| 848 | ENDDO |
---|
| 849 | ! |
---|
| 850 | ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR MOMENTUM |
---|
| 851 | ! |
---|
| 852 | DO I=1,IM |
---|
| 853 | ! AD(I,1) = 1.+BETAW(I) |
---|
| 854 | AD(I,1) = 1.0 + BETA(i) * STRESS(I) / SPD1(I) |
---|
| 855 | A1(I,1) = U1(i,1) |
---|
| 856 | A2(I,1) = V1(i,1) |
---|
| 857 | ! AD(I,1) = 1.0 |
---|
| 858 | ! tem = 1.0 + BETA(I) * STRESS(I) / SPD1(I) |
---|
| 859 | ! A1(I,1) = U1(i,1) * tem |
---|
| 860 | ! A2(I,1) = V1(i,1) * tem |
---|
| 861 | ENDDO |
---|
| 862 | ! |
---|
| 863 | DO K = 1,KM-1 |
---|
| 864 | DO I=1,IM |
---|
| 865 | DTODSD = DT/DEL(I,K) |
---|
| 866 | DTODSU = DT/DEL(I,K+1) |
---|
| 867 | DSIG = PRSL(I,K)-PRSL(I,K+1) |
---|
| 868 | RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,k+1)) |
---|
| 869 | ! RDZ = RDZT(I,K) |
---|
| 870 | DSDZ2 = DSIG*DKU(i,k)*RDZ*RDZ |
---|
| 871 | AU(I,k) = -DTODSD*DSDZ2 |
---|
| 872 | AL(I,k) = -DTODSU*DSDZ2 |
---|
| 873 | AD(I,k) = AD(I,k)-AU(I,k) |
---|
| 874 | AD(I,k+1) = 1.-AL(I,k) |
---|
| 875 | A1(I,k+1) = U1(i,k+1) |
---|
| 876 | A2(I,k+1) = V1(i,k+1) |
---|
| 877 | ENDDO |
---|
| 878 | ENDDO |
---|
| 879 | ! |
---|
| 880 | ! SOLVE TRIDIAGONAL PROBLEM FOR MOMENTUM |
---|
| 881 | ! |
---|
| 882 | CALL TRIDI2(IM,KM,AL,AD,AU,A1,A2,AU,A1,A2) |
---|
| 883 | ! |
---|
| 884 | ! RECOVER TENDENCIES OF MOMENTUM |
---|
| 885 | ! |
---|
| 886 | DO K = 1,KM |
---|
| 887 | DO I = 1,IM |
---|
| 888 | CONWRC = CONW*SQRT(RCL(i)) |
---|
| 889 | UTEND = (A1(I,k)-U1(i,k))*RDT |
---|
| 890 | VTEND = (A2(I,k)-V1(i,k))*RDT |
---|
| 891 | DU(i,k) = DU(i,k)+UTEND |
---|
| 892 | DV(i,k) = DV(i,k)+VTEND |
---|
| 893 | DUSFC(I) = DUSFC(I)+CONWRC*DEL(I,K)*UTEND |
---|
| 894 | DVSFC(I) = DVSFC(I)+CONWRC*DEL(I,K)*VTEND |
---|
| 895 | ENDDO |
---|
| 896 | ENDDO |
---|
| 897 | !! |
---|
| 898 | ! |
---|
| 899 | ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR TRACERS |
---|
| 900 | ! |
---|
| 901 | if (ntrac .ge. 2) then |
---|
| 902 | DO I=1,IM |
---|
| 903 | AD(I,1) = 1. |
---|
| 904 | ENDDO |
---|
| 905 | do k = 2, ntrac |
---|
| 906 | is = (k-2) * km |
---|
| 907 | do i = 1, im |
---|
| 908 | AT(I,1+is) = Q1(i,1,k) |
---|
| 909 | enddo |
---|
| 910 | enddo |
---|
| 911 | ! |
---|
| 912 | DO K = 1,KM-1 |
---|
| 913 | DO I = 1,IM |
---|
| 914 | DTODSD = DT/DEL(I,K) |
---|
| 915 | DTODSU = DT/DEL(I,K+1) |
---|
| 916 | DSIG = PRSL(I,K)-PRSL(I,K+1) |
---|
| 917 | RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,K+1)) |
---|
| 918 | tem1 = DSIG * DKT(i,k) * RDZ |
---|
| 919 | DSDZ2 = tem1 * RDZ |
---|
| 920 | AU(I,k) = -DTODSD*DSDZ2 |
---|
| 921 | AL(I,k) = -DTODSU*DSDZ2 |
---|
| 922 | AD(I,k) = AD(I,k)-AU(I,k) |
---|
| 923 | AD(I,k+1) = 1.-AL(I,k) |
---|
| 924 | ENDDO |
---|
| 925 | ENDDO |
---|
| 926 | do kk = 2, ntrac |
---|
| 927 | is = (kk-2) * km |
---|
| 928 | do k = 1, km - 1 |
---|
| 929 | do i = 1, im |
---|
| 930 | AT(I,k+1+is) = Q1(i,k+1,kk) |
---|
| 931 | enddo |
---|
| 932 | enddo |
---|
| 933 | enddo |
---|
| 934 | ! |
---|
| 935 | ! SOLVE TRIDIAGONAL PROBLEM FOR TRACERS |
---|
| 936 | ! |
---|
| 937 | CALL TRIDIT(IM,KM,ntrac-1,AL,AD,AU,AT,AU,AT) |
---|
| 938 | ! |
---|
| 939 | ! RECOVER TENDENCIES OF TRACERS |
---|
| 940 | ! |
---|
| 941 | do kk = 2, ntrac |
---|
| 942 | is = (kk-2) * km |
---|
| 943 | do k = 1, km |
---|
| 944 | do i = 1, im |
---|
| 945 | QTEND = (AT(I,K+is)-Q1(i,K,kk))*RDT |
---|
| 946 | RTG(i,K,kk) = RTG(i,K,kk) + QTEND |
---|
| 947 | enddo |
---|
| 948 | enddo |
---|
| 949 | enddo |
---|
| 950 | endif |
---|
| 951 | !! |
---|
| 952 | RETURN |
---|
| 953 | END SUBROUTINE MONINP |
---|
| 954 | !FPP$ NOCONCUR R |
---|
| 955 | !----------------------------------------------------------------------- |
---|
| 956 | SUBROUTINE TRIDI2(L,N,CL,CM,CU,R1,R2,AU,A1,A2) |
---|
| 957 | !sela %INCLUDE DBTRIDI2; |
---|
| 958 | ! |
---|
| 959 | USE MODULE_GFS_MACHINE , ONLY : kind_phys |
---|
| 960 | implicit none |
---|
| 961 | integer k,n,l,i |
---|
| 962 | real(kind=kind_phys) fk |
---|
| 963 | ! |
---|
| 964 | real(kind=kind_phys) CL(L,2:N),CM(L,N),CU(L,N-1),R1(L,N),R2(L,N), & |
---|
| 965 | & AU(L,N-1),A1(L,N),A2(L,N) |
---|
| 966 | !----------------------------------------------------------------------- |
---|
| 967 | DO I=1,L |
---|
| 968 | FK = 1./CM(I,1) |
---|
| 969 | AU(I,1) = FK*CU(I,1) |
---|
| 970 | A1(I,1) = FK*R1(I,1) |
---|
| 971 | A2(I,1) = FK*R2(I,1) |
---|
| 972 | ENDDO |
---|
| 973 | DO K=2,N-1 |
---|
| 974 | DO I=1,L |
---|
| 975 | FK = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) |
---|
| 976 | AU(I,K) = FK*CU(I,K) |
---|
| 977 | A1(I,K) = FK*(R1(I,K)-CL(I,K)*A1(I,K-1)) |
---|
| 978 | A2(I,K) = FK*(R2(I,K)-CL(I,K)*A2(I,K-1)) |
---|
| 979 | ENDDO |
---|
| 980 | ENDDO |
---|
| 981 | DO I=1,L |
---|
| 982 | FK = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) |
---|
| 983 | A1(I,N) = FK*(R1(I,N)-CL(I,N)*A1(I,N-1)) |
---|
| 984 | A2(I,N) = FK*(R2(I,N)-CL(I,N)*A2(I,N-1)) |
---|
| 985 | ENDDO |
---|
| 986 | DO K=N-1,1,-1 |
---|
| 987 | DO I=1,L |
---|
| 988 | A1(I,K) = A1(I,K)-AU(I,K)*A1(I,K+1) |
---|
| 989 | A2(I,K) = A2(I,K)-AU(I,K)*A2(I,K+1) |
---|
| 990 | ENDDO |
---|
| 991 | ENDDO |
---|
| 992 | !----------------------------------------------------------------------- |
---|
| 993 | RETURN |
---|
| 994 | END SUBROUTINE TRIDI2 |
---|
| 995 | !FPP$ NOCONCUR R |
---|
| 996 | !----------------------------------------------------------------------- |
---|
| 997 | SUBROUTINE TRIDIN(L,N,nt,CL,CM,CU,R1,R2,AU,A1,A2) |
---|
| 998 | !sela %INCLUDE DBTRIDI2; |
---|
| 999 | ! |
---|
| 1000 | USE MODULE_GFS_MACHINE , ONLY : kind_phys |
---|
| 1001 | implicit none |
---|
| 1002 | integer is,k,kk,n,nt,l,i |
---|
| 1003 | real(kind=kind_phys) fk(L) |
---|
| 1004 | ! |
---|
| 1005 | real(kind=kind_phys) CL(L,2:N), CM(L,N), CU(L,N-1), & |
---|
| 1006 | & R1(L,N), R2(L,N*nt), & |
---|
| 1007 | & AU(L,N-1), A1(L,N), A2(L,N*nt), & |
---|
| 1008 | & FKK(L,2:N-1) |
---|
| 1009 | !----------------------------------------------------------------------- |
---|
| 1010 | DO I=1,L |
---|
| 1011 | FK(I) = 1./CM(I,1) |
---|
| 1012 | AU(I,1) = FK(I)*CU(I,1) |
---|
| 1013 | A1(I,1) = FK(I)*R1(I,1) |
---|
| 1014 | ENDDO |
---|
| 1015 | do k = 1, nt |
---|
| 1016 | is = (k-1) * n |
---|
| 1017 | do i = 1, l |
---|
| 1018 | a2(i,1+is) = fk(I) * r2(i,1+is) |
---|
| 1019 | enddo |
---|
| 1020 | enddo |
---|
| 1021 | DO K=2,N-1 |
---|
| 1022 | DO I=1,L |
---|
| 1023 | FKK(I,K) = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) |
---|
| 1024 | AU(I,K) = FKK(I,K)*CU(I,K) |
---|
| 1025 | A1(I,K) = FKK(I,K)*(R1(I,K)-CL(I,K)*A1(I,K-1)) |
---|
| 1026 | ENDDO |
---|
| 1027 | ENDDO |
---|
| 1028 | do kk = 1, nt |
---|
| 1029 | is = (kk-1) * n |
---|
| 1030 | DO K=2,N-1 |
---|
| 1031 | DO I=1,L |
---|
| 1032 | A2(I,K+is) = FKK(I,K)*(R2(I,K+is)-CL(I,K)*A2(I,K+is-1)) |
---|
| 1033 | ENDDO |
---|
| 1034 | ENDDO |
---|
| 1035 | ENDDO |
---|
| 1036 | DO I=1,L |
---|
| 1037 | FK(I) = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) |
---|
| 1038 | A1(I,N) = FK(I)*(R1(I,N)-CL(I,N)*A1(I,N-1)) |
---|
| 1039 | ENDDO |
---|
| 1040 | do k = 1, nt |
---|
| 1041 | is = (k-1) * n |
---|
| 1042 | do i = 1, l |
---|
| 1043 | A2(I,N+is) = FK(I)*(R2(I,N+is)-CL(I,N)*A2(I,N+is-1)) |
---|
| 1044 | enddo |
---|
| 1045 | enddo |
---|
| 1046 | DO K=N-1,1,-1 |
---|
| 1047 | DO I=1,L |
---|
| 1048 | A1(I,K) = A1(I,K) - AU(I,K)*A1(I,K+1) |
---|
| 1049 | ENDDO |
---|
| 1050 | ENDDO |
---|
| 1051 | do kk = 1, nt |
---|
| 1052 | is = (kk-1) * n |
---|
| 1053 | DO K=n-1,1,-1 |
---|
| 1054 | DO I=1,L |
---|
| 1055 | A2(I,K+is) = A2(I,K+is) - AU(I,K)*A2(I,K+is+1) |
---|
| 1056 | ENDDO |
---|
| 1057 | ENDDO |
---|
| 1058 | ENDDO |
---|
| 1059 | !----------------------------------------------------------------------- |
---|
| 1060 | RETURN |
---|
| 1061 | END SUBROUTINE TRIDIN |
---|
| 1062 | SUBROUTINE TRIDIT(L,N,nt,CL,CM,CU,RT,AU,AT) |
---|
| 1063 | !sela %INCLUDE DBTRIDI2; |
---|
| 1064 | ! |
---|
| 1065 | USE MODULE_GFS_MACHINE , ONLY : kind_phys |
---|
| 1066 | implicit none |
---|
| 1067 | integer is,k,kk,n,nt,l,i |
---|
| 1068 | real(kind=kind_phys) fk(L) |
---|
| 1069 | ! |
---|
| 1070 | real(kind=kind_phys) CL(L,2:N), CM(L,N), CU(L,N-1), & |
---|
| 1071 | & RT(L,N*nt), & |
---|
| 1072 | & AU(L,N-1), AT(L,N*nt), & |
---|
| 1073 | & FKK(L,2:N-1) |
---|
| 1074 | !----------------------------------------------------------------------- |
---|
| 1075 | DO I=1,L |
---|
| 1076 | FK(I) = 1./CM(I,1) |
---|
| 1077 | AU(I,1) = FK(I)*CU(I,1) |
---|
| 1078 | ENDDO |
---|
| 1079 | do k = 1, nt |
---|
| 1080 | is = (k-1) * n |
---|
| 1081 | do i = 1, l |
---|
| 1082 | at(i,1+is) = fk(I) * rt(i,1+is) |
---|
| 1083 | enddo |
---|
| 1084 | enddo |
---|
| 1085 | DO K=2,N-1 |
---|
| 1086 | DO I=1,L |
---|
| 1087 | FKK(I,K) = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) |
---|
| 1088 | AU(I,K) = FKK(I,K)*CU(I,K) |
---|
| 1089 | ENDDO |
---|
| 1090 | ENDDO |
---|
| 1091 | do kk = 1, nt |
---|
| 1092 | is = (kk-1) * n |
---|
| 1093 | DO K=2,N-1 |
---|
| 1094 | DO I=1,L |
---|
| 1095 | AT(I,K+is) = FKK(I,K)*(RT(I,K+is)-CL(I,K)*AT(I,K+is-1)) |
---|
| 1096 | ENDDO |
---|
| 1097 | ENDDO |
---|
| 1098 | ENDDO |
---|
| 1099 | DO I=1,L |
---|
| 1100 | FK(I) = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) |
---|
| 1101 | ENDDO |
---|
| 1102 | do k = 1, nt |
---|
| 1103 | is = (k-1) * n |
---|
| 1104 | do i = 1, l |
---|
| 1105 | AT(I,N+is) = FK(I)*(RT(I,N+is)-CL(I,N)*AT(I,N+is-1)) |
---|
| 1106 | enddo |
---|
| 1107 | enddo |
---|
| 1108 | do kk = 1, nt |
---|
| 1109 | is = (kk-1) * n |
---|
| 1110 | DO K=n-1,1,-1 |
---|
| 1111 | DO I=1,L |
---|
| 1112 | AT(I,K+is) = AT(I,K+is) - AU(I,K)*AT(I,K+is+1) |
---|
| 1113 | ENDDO |
---|
| 1114 | ENDDO |
---|
| 1115 | ENDDO |
---|
| 1116 | !----------------------------------------------------------------------- |
---|
| 1117 | RETURN |
---|
| 1118 | END SUBROUTINE TRIDIT |
---|
| 1119 | |
---|
| 1120 | !----------------------------------------------------------------------- |
---|
| 1121 | |
---|
| 1122 | END MODULE module_bl_gfs |
---|