| 1 | !wrf:model_layer:physics |
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| 2 | ! |
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| 3 | ! |
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| 4 | ! |
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| 5 | module module_bl_ysu |
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| 6 | contains |
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| 7 | ! |
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| 8 | !------------------------------------------------------------------- |
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| 9 | ! |
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| 10 | subroutine ysu(u3d,v3d,th3d,t3d,qv3d,qc3d,qi3d,p3d,pi3d, & |
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| 11 | rublten,rvblten,rthblten, & |
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| 12 | rqvblten,rqcblten,rqiblten, & |
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| 13 | cp,g,rovcp,rd,rovg, & |
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| 14 | dz8w,z,xlv,rv,psfc, & |
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| 15 | znt,ust,zol,hol,hpbl,psim,psih, & |
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| 16 | xland,hfx,qfx,tsk,gz1oz0,wspd,br, & |
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| 17 | dt,dtmin,kpbl2d, & |
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| 18 | svp1,svp2,svp3,svpt0,ep1,ep2,karman,eomeg,stbolt,& |
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| 19 | exch_h, & |
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| 20 | ids,ide, jds,jde, kds,kde, & |
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| 21 | ims,ime, jms,jme, kms,kme, & |
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| 22 | its,ite, jts,jte, kts,kte, & |
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| 23 | !optional |
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| 24 | regime ) |
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| 25 | !------------------------------------------------------------------- |
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| 26 | implicit none |
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| 27 | !------------------------------------------------------------------- |
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| 28 | !-- u3d 3d u-velocity interpolated to theta points (m/s) |
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| 29 | !-- v3d 3d v-velocity interpolated to theta points (m/s) |
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| 30 | !-- th3d 3d potential temperature (k) |
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| 31 | !-- t3d temperature (k) |
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| 32 | !-- qv3d 3d water vapor mixing ratio (kg/kg) |
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| 33 | !-- qc3d 3d cloud mixing ratio (kg/kg) |
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| 34 | !-- qi3d 3d ice mixing ratio (kg/kg) |
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| 35 | ! (note: if P_QI<PARAM_FIRST_SCALAR this should be zero filled) |
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| 36 | !-- p3d 3d pressure (pa) |
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| 37 | !-- pi3d 3d exner function (dimensionless) |
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| 38 | !-- rr3d 3d dry air density (kg/m^3) |
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| 39 | !-- rublten u tendency due to |
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| 40 | ! pbl parameterization (m/s/s) |
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| 41 | !-- rvblten v tendency due to |
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| 42 | ! pbl parameterization (m/s/s) |
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| 43 | !-- rthblten theta tendency due to |
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| 44 | ! pbl parameterization (K/s) |
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| 45 | !-- rqvblten qv tendency due to |
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| 46 | ! pbl parameterization (kg/kg/s) |
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| 47 | !-- rqcblten qc tendency due to |
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| 48 | ! pbl parameterization (kg/kg/s) |
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| 49 | !-- rqiblten qi tendency due to |
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| 50 | ! pbl parameterization (kg/kg/s) |
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| 51 | !-- cp heat capacity at constant pressure for dry air (j/kg/k) |
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| 52 | !-- g acceleration due to gravity (m/s^2) |
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| 53 | !-- rovcp r/cp |
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| 54 | !-- rd gas constant for dry air (j/kg/k) |
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| 55 | !-- rovg r/g |
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| 56 | !-- dz8w dz between full levels (m) |
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| 57 | !-- z height above sea level (m) |
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| 58 | !-- xlv latent heat of vaporization (j/kg) |
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| 59 | !-- rv gas constant for water vapor (j/kg/k) |
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| 60 | !-- psfc pressure at the surface (pa) |
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| 61 | !-- znt roughness length (m) |
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| 62 | !-- ust u* in similarity theory (m/s) |
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| 63 | !-- zol z/l height over monin-obukhov length |
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| 64 | !-- hol pbl height over monin-obukhov length |
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| 65 | !-- hpbl pbl height (m) |
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| 66 | !-- regime flag indicating pbl regime (stable, unstable, etc.) |
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| 67 | !-- psim similarity stability function for momentum |
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| 68 | !-- psih similarity stability function for heat |
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| 69 | !-- xland land mask (1 for land, 2 for water) |
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| 70 | !-- hfx upward heat flux at the surface (w/m^2) |
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| 71 | !-- qfx upward moisture flux at the surface (kg/m^2/s) |
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| 72 | !-- tsk surface temperature (k) |
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| 73 | !-- gz1oz0 log(z/z0) where z0 is roughness length |
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| 74 | !-- wspd wind speed at lowest model level (m/s) |
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| 75 | !-- br bulk richardson number in surface layer |
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| 76 | !-- dt time step (s) |
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| 77 | !-- dtmin time step (minute) |
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| 78 | !-- rvovrd r_v divided by r_d (dimensionless) |
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| 79 | !-- svp1 constant for saturation vapor pressure (kpa) |
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| 80 | !-- svp2 constant for saturation vapor pressure (dimensionless) |
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| 81 | !-- svp3 constant for saturation vapor pressure (k) |
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| 82 | !-- svpt0 constant for saturation vapor pressure (k) |
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| 83 | !-- ep1 constant for virtual temperature (r_v/r_d - 1) (dimensionless) |
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| 84 | !-- ep2 constant for specific humidity calculation |
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| 85 | !-- karman von karman constant |
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| 86 | !-- eomeg angular velocity of earths rotation (rad/s) |
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| 87 | !-- stbolt stefan-boltzmann constant (w/m^2/k^4) |
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| 88 | !-- ids start index for i in domain |
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| 89 | !-- ide end index for i in domain |
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| 90 | !-- jds start index for j in domain |
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| 91 | !-- jde end index for j in domain |
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| 92 | !-- kds start index for k in domain |
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| 93 | !-- kde end index for k in domain |
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| 94 | !-- ims start index for i in memory |
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| 95 | !-- ime end index for i in memory |
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| 96 | !-- jms start index for j in memory |
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| 97 | !-- jme end index for j in memory |
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| 98 | !-- kms start index for k in memory |
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| 99 | !-- kme end index for k in memory |
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| 100 | !-- its start index for i in tile |
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| 101 | !-- ite end index for i in tile |
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| 102 | !-- jts start index for j in tile |
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| 103 | !-- jte end index for j in tile |
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| 104 | !-- kts start index for k in tile |
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| 105 | !-- kte end index for k in tile |
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| 106 | !------------------------------------------------------------------- |
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| 107 | ! |
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| 108 | integer, intent(in ) :: ids,ide, jds,jde, kds,kde, & |
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| 109 | ims,ime, jms,jme, kms,kme, & |
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| 110 | its,ite, jts,jte, kts,kte |
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| 111 | ! |
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| 112 | real, intent(in ) :: dt,dtmin,cp,g,rovcp, & |
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| 113 | rovg,rd,xlv,rv |
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| 114 | ! |
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| 115 | real, intent(in ) :: svp1,svp2,svp3,svpt0 |
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| 116 | real, intent(in ) :: ep1,ep2,karman,eomeg,stbolt |
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| 117 | ! |
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| 118 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 119 | intent(in ) :: qv3d, & |
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| 120 | qc3d, & |
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| 121 | qi3d, & |
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| 122 | p3d, & |
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| 123 | pi3d, & |
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| 124 | th3d, & |
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| 125 | t3d, & |
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| 126 | dz8w, & |
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| 127 | z |
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| 128 | ! |
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| 129 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 130 | intent(inout) :: rublten, & |
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| 131 | rvblten, & |
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| 132 | rthblten, & |
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| 133 | rqvblten, & |
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| 134 | rqcblten |
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| 135 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 136 | intent(inout) :: exch_h |
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| 137 | ! |
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| 138 | real, dimension( ims:ime, jms:jme ) , & |
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| 139 | intent(in ) :: xland, & |
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| 140 | hfx, & |
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| 141 | qfx, & |
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| 142 | psim, & |
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| 143 | psih, & |
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| 144 | gz1oz0, & |
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| 145 | br, & |
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| 146 | psfc, & |
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| 147 | tsk |
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| 148 | ! |
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| 149 | real, dimension( ims:ime, jms:jme ) , & |
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| 150 | intent(inout) :: hol, & |
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| 151 | ust, & |
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| 152 | hpbl, & |
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| 153 | znt, & |
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| 154 | wspd, & |
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| 155 | zol |
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| 156 | ! |
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| 157 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 158 | intent(in ) :: u3d, & |
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| 159 | v3d |
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| 160 | ! |
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| 161 | integer, dimension( ims:ime, jms:jme ) , & |
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| 162 | intent(out ) :: kpbl2d |
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| 163 | !optional |
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| 164 | real, dimension( ims:ime, jms:jme ) , & |
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| 165 | optional , & |
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| 166 | intent(inout) :: regime |
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| 167 | ! |
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| 168 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 169 | optional , & |
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| 170 | intent(inout) :: rqiblten |
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| 171 | ! |
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| 172 | !local |
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| 173 | integer :: i,j,k |
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| 174 | ! |
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| 175 | do j = jts,jte |
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| 176 | call ysu2d(J=j,ux=u3d(ims,kms,j),vx=v3d(ims,kms,j) & |
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| 177 | ,tx=t3d(ims,kms,j) & |
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| 178 | ,qx=qv3d(ims,kms,j),qcx=qc3d(ims,kms,j) & |
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| 179 | ,qix=qi3d(ims,kms,j) & |
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| 180 | ,p2d=p3d(ims,kms,j),utnp=rublten(ims,kms,j) & |
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| 181 | ,vtnp=rvblten(ims,kms,j) & |
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| 182 | ,ttnp=rthblten(ims,kms,j),qtnp=rqvblten(ims,kms,j) & |
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| 183 | ,qctnp=rqcblten(ims,kms,j),qitnp=rqiblten(ims,kms,j) & |
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| 184 | ,cp=cp,g=g,rovcp=rovcp,rd=rd,rovg=rovg & |
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| 185 | ,dz8w2d=dz8w(ims,kms,j),z2d=z(ims,kms,j) & |
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| 186 | ,xlv=xlv,rv=rv & |
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| 187 | ,psfcpa=psfc(ims,j),znt=znt(ims,j),ust=ust(ims,j) & |
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| 188 | ,zol=zol(ims,j),hol=hol(ims,j),hpbl=hpbl(ims,j) & |
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| 189 | ,regime=regime(ims,j),psim=psim(ims,j) & |
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| 190 | ,psih=psih(ims,j),xland=xland(ims,j) & |
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| 191 | ,hfx=hfx(ims,j),qfx=qfx(ims,j) & |
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| 192 | ,tsk=tsk(ims,j),gz1oz0=gz1oz0(ims,j) & |
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| 193 | ,wspd=wspd(ims,j),br=br(ims,j) & |
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| 194 | ,dt=dt,dtmin=dtmin,kpbl1d=kpbl2d(ims,j) & |
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| 195 | ,svp1=svp1,svp2=svp2,svp3=svp3,svpt0=svpt0 & |
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| 196 | ,ep1=ep1,ep2=ep2,karman=karman,eomeg=eomeg & |
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| 197 | ,stbolt=stbolt & |
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| 198 | ,exch_hx=exch_h(ims,kms,j) & |
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| 199 | ,ids=ids,ide=ide, jds=jds,jde=jde, kds=kds,kde=kde & |
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| 200 | ,ims=ims,ime=ime, jms=jms,jme=jme, kms=kms,kme=kme & |
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| 201 | ,its=its,ite=ite, jts=jts,jte=jte, kts=kts,kte=kte ) |
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| 202 | do k = kts,kte |
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| 203 | do i = its,ite |
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| 204 | rthblten(i,k,j) = rthblten(i,k,j)/pi3d(i,k,j) |
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| 205 | enddo |
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| 206 | enddo |
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| 207 | enddo |
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| 208 | ! |
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| 209 | end subroutine ysu |
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| 210 | ! |
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| 211 | !------------------------------------------------------------------- |
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| 212 | ! |
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| 213 | subroutine ysu2d(j,ux,vx,tx,qx,qcx,qix,p2d, & |
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| 214 | utnp,vtnp,ttnp, & |
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| 215 | qtnp,qctnp,qitnp, & |
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| 216 | cp,g,rovcp,rd,rovg, & |
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| 217 | dz8w2d,z2d,xlv,rv,psfcpa, & |
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| 218 | znt,ust,zol,hol,hpbl,psim,psih, & |
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| 219 | xland,hfx,qfx,tsk,gz1oz0,wspd,br, & |
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| 220 | dt,dtmin,kpbl1d, & |
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| 221 | svp1,svp2,svp3,svpt0,ep1,ep2,karman,eomeg,stbolt,& |
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| 222 | exch_hx, & |
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| 223 | ids,ide, jds,jde, kds,kde, & |
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| 224 | ims,ime, jms,jme, kms,kme, & |
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| 225 | its,ite, jts,jte, kts,kte, & |
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| 226 | !optional |
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| 227 | regime ) |
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| 228 | !------------------------------------------------------------------- |
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| 229 | implicit none |
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| 230 | !------------------------------------------------------------------- |
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| 231 | ! |
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| 232 | ! this code is a revised vertical diffusion package ("ysupbl") |
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| 233 | ! with a nonlocal turbulent mixing in the pbl after "mrfpbl". |
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| 234 | ! the ysupbl is based on the study of noh et al(2003) and |
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| 235 | ! accumulated realism of the behavior of the troen and mahrt |
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| 236 | ! (1986) concept implemented by hong and pan(1996). the major |
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| 237 | ! ingredient of the ysupbl is the inclusion of an explicit |
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| 238 | ! treatment of the entrainment processes at the entrainment layer. |
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| 239 | ! this routine uses an implicit approach for vertical flux |
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| 240 | ! divergence and does not require "miter" timesteps. |
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| 241 | ! it includes vertical diffusion in the stable atmosphere |
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| 242 | ! and moist vertical diffusion in clouds. |
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| 243 | ! surface fluxes calculated as in hirpbl. |
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| 244 | ! 5-layer soil model option required in slab due to long timestep |
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| 245 | ! |
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| 246 | ! mrfpbl: |
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| 247 | ! coded by song-you hong (ncep), implemented by jimy dudhia (ncar) |
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| 248 | ! fall 1996 |
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| 249 | ! |
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| 250 | ! ysupbl: |
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| 251 | ! coded by song-you hong (yonsei university) and implemented by |
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| 252 | ! song-you hong (yonsei university) and jimy dudhia (ncar) |
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| 253 | ! summer 2002 |
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| 254 | ! |
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| 255 | ! references: |
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| 256 | ! |
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| 257 | ! hong and pan (1996), mon. wea. rev. |
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| 258 | ! hong, noh, and dudhia (2004), mon. wea. rev, to be submitted |
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| 259 | ! dudhia and hong (2004), mon. wea. rev, to be submitted |
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| 260 | ! noh, chun, hong, and raasch (2003), boundary layer met. |
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| 261 | ! troen and mahrt (1986), boundary layer met. |
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| 262 | ! |
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| 263 | !------------------------------------------------------------------- |
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| 264 | ! |
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| 265 | real rlam,prmin,prmax,xkzmin,xkzmax,rimin,brcr, & |
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| 266 | bfac,pfac,sfcfrac,ckz,zfmin,aphi5,aphi16,gamcrt, & |
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| 267 | gamcrq,xka |
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| 268 | ! |
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| 269 | parameter (xkzmin = 0.01,xkzmax = 1000.,rimin = -100.) |
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| 270 | integer ncloud |
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| 271 | parameter (ncloud = 3) |
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| 272 | real afac, phifac, qmin |
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| 273 | real d1,d2,d3 |
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| 274 | real h1,h2 |
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| 275 | parameter (rlam = 30.,prmin = 0.25,prmax = 4.) |
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| 276 | parameter (brcr = 0.0,bfac = 6.8,pfac = 2.0,sfcfrac = 0.1) |
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| 277 | parameter (afac = 6.8,phifac = 8.,qmin=1.e-2) |
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| 278 | parameter (d1 = 0.02, d2 = 0.05, d3 = 0.001) |
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| 279 | parameter (h1 = 0.33333335, h2 = 0.6666667) |
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| 280 | parameter (ckz = 0.001,zfmin = 1.e-8,aphi5 = 5.,aphi16 = 16.) |
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| 281 | parameter (gamcrt = 3.,gamcrq = 2.e-3) |
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| 282 | parameter (xka = 2.4e-5) |
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| 283 | !wig 16-sep-2005: Parameter added to set a minimum pbl height. To disable |
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| 284 | ! this option, set hpblmin=0. |
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| 285 | real, parameter :: hpblmin=0. |
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| 286 | ! |
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| 287 | integer, intent(in ) :: ids,ide, jds,jde, kds,kde, & |
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| 288 | ims,ime, jms,jme, kms,kme, & |
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| 289 | its,ite, jts,jte, kts,kte, j |
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| 290 | ! |
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| 291 | real, intent(in ) :: dt,dtmin,cp,g,rovcp, & |
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| 292 | rovg,rd,xlv,rv |
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| 293 | ! |
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| 294 | real, intent(in ) :: svp1,svp2,svp3,svpt0 |
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| 295 | real, intent(in ) :: ep1,ep2,karman,eomeg,stbolt |
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| 296 | ! |
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| 297 | real, dimension( ims:ime, kms:kme ), & |
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| 298 | intent(in) :: dz8w2d, & |
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| 299 | z2d |
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| 300 | ! |
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| 301 | real, dimension( ims:ime, kms:kme ) , & |
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| 302 | intent(in ) :: tx, & |
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| 303 | qx, & |
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| 304 | qcx, & |
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| 305 | qix, & |
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| 306 | p2d |
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| 307 | ! |
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| 308 | real, dimension( ims:ime, kms:kme ) , & |
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| 309 | intent(inout) :: utnp, & |
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| 310 | vtnp, & |
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| 311 | ttnp, & |
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| 312 | qtnp, & |
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| 313 | qctnp, & |
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| 314 | qitnp |
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| 315 | ! |
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| 316 | real, dimension( ims:ime ) , & |
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| 317 | intent(inout) :: hol, & |
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| 318 | ust, & |
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| 319 | hpbl, & |
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| 320 | znt |
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| 321 | real, dimension( ims:ime ) , & |
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| 322 | intent(in ) :: xland, & |
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| 323 | hfx, & |
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| 324 | qfx |
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| 325 | ! |
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| 326 | real, dimension( ims:ime ), intent(inout) :: wspd |
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| 327 | real, dimension( ims:ime ), intent(in ) :: br |
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| 328 | ! |
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| 329 | real, dimension( ims:ime ), intent(in ) :: psim, & |
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| 330 | psih |
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| 331 | real, dimension( ims:ime ), intent(in ) :: gz1oz0 |
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| 332 | ! |
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| 333 | real, dimension( ims:ime ), intent(in ) :: psfcpa |
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| 334 | real, dimension( ims:ime ), intent(in ) :: tsk |
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| 335 | real, dimension( ims:ime ), intent(inout) :: zol |
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| 336 | integer, dimension( ims:ime ), intent(out ) :: kpbl1d |
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| 337 | ! |
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| 338 | ! |
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| 339 | real, dimension( ims:ime, kms:kme ) , & |
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| 340 | intent(in ) :: ux, & |
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| 341 | vx |
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| 342 | !optional |
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| 343 | real, dimension( ims:ime ) , & |
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| 344 | optional , & |
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| 345 | intent(inout) :: regime |
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| 346 | ! |
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| 347 | ! local vars |
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| 348 | ! |
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| 349 | real, dimension( its:ite, kts:kte+1 ) :: zq |
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| 350 | ! |
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| 351 | real, dimension( its:ite, kts:kte ) :: & |
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| 352 | thx,thvx, & |
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| 353 | dzq,dza, & |
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| 354 | za, & |
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| 355 | uxs,vxs, & |
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| 356 | thxs,qxs, & |
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| 357 | qcxs,qixs |
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| 358 | ! |
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| 359 | real, dimension( its:ite ) :: qixsv,rhox, & |
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| 360 | govrth, & |
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| 361 | thxsv, & |
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| 362 | uxsv,vxsv, & |
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| 363 | qxsv,qcxsv, & |
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| 364 | qgh,tgdsa,ps |
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| 365 | ! |
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| 366 | real, dimension( its:ite ) :: & |
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| 367 | zl1,thermal, & |
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| 368 | wscale,hgamt, & |
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| 369 | hgamq,brdn, & |
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| 370 | brup,phim, & |
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| 371 | phih,cpm, & |
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| 372 | dusfc,dvsfc, & |
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| 373 | dtsfc,dqsfc, & |
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| 374 | thgb,prpbl, & |
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| 375 | wspd1 |
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| 376 | ! |
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| 377 | real, dimension( its:ite, kts:kte ) :: xkzm,xkzh, & |
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| 378 | f1,f2, & |
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| 379 | r1,r2, & |
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| 380 | ad,au, & |
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| 381 | cu, & |
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| 382 | al, & |
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| 383 | zfac, & |
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| 384 | scr4 |
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| 385 | !jdf added exch_hx |
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| 386 | real, dimension( ims:ime, kms:kme ) , & |
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| 387 | intent(inout) :: exch_hx |
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| 388 | real, dimension( its:ite, kts:kte, ncloud) :: r3,f3 |
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| 389 | ! |
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| 390 | logical, dimension( its:ite ) :: pblflg, & |
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| 391 | sfcflg, & |
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| 392 | stable |
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| 393 | ! |
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| 394 | integer :: n,i,k,l,nzol,imvdif,ic |
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| 395 | integer :: klpbl |
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| 396 | ! |
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| 397 | !wig 16-sep-2005: Added kmin for setting minimum pbl height |
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| 398 | integer, dimension( its:ite ) :: kpbl, & |
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| 399 | kmin |
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| 400 | ! |
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| 401 | real :: zoln,x,y,thcon,tvcon,e1,dtstep |
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| 402 | real :: zl,tskv,dthvdz,dthvm,vconv,rzol |
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| 403 | real :: dtthx,psix,dtg,psiq,ustm |
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| 404 | real :: dt2,rdt,spdk2,fm,fh,hol1,gamfac,vpert,prnum |
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| 405 | real :: xkzo,ss,ri,qmean,tmean,alph,chi,zk,rl2,dk,sri |
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| 406 | real :: brint,dtodsd,rdz,dsdzt,dsdzq,dsdz2,ttend,qtend |
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| 407 | real :: utend,vtend,qctend,qitend,tgc,dtodsu,govrthv |
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| 408 | ! |
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| 409 | real, dimension( its:ite, kts:kte ) :: wscalek, & |
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| 410 | xkzml,xkzhl, & |
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| 411 | zfacent,entfac |
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| 412 | real, dimension( its:ite ) :: ust3, & |
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| 413 | wstar3,wstar, & |
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| 414 | hgamu,hgamv, & |
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| 415 | wm2, we, & |
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| 416 | bfxpbl, & |
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| 417 | hfxpbl,qfxpbl, & |
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| 418 | ufxpbl,vfxpbl, & |
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| 419 | delta,dthvx |
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| 420 | real :: prnumfac,bfx0,hfx0,qfx0,delb,dux,dvx, & |
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| 421 | dsdzu,dsdzv,wm3,dthx,dqx |
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| 422 | ! |
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| 423 | !---------------------------------------------------------------------- |
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| 424 | ! |
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| 425 | klpbl = kte |
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| 426 | ! |
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| 427 | !-- imvdif imvdif = 1 for moist adiabat vertical diffusion |
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| 428 | imvdif = 1 |
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| 429 | ! |
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| 430 | !----convert ground temperature to potential temperature: |
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| 431 | ! |
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| 432 | do i = its,ite |
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| 433 | tgdsa(i) = tsk(i) |
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| 434 | ps(i) = psfcpa(i)/1000. ! ps psfc cmb |
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| 435 | thgb(i) = tsk(i)*(100./ps(i))**rovcp |
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| 436 | enddo |
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| 437 | ! |
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| 438 | ! scr4(i,k) store virtual temperature. |
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| 439 | ! |
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| 440 | do k = kts,kte |
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| 441 | do i = its,ite |
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| 442 | thcon = (100000./p2d(i,k))**rovcp |
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| 443 | thx(i,k) = tx(i,k)*thcon |
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| 444 | scr4(i,k) = tx(i,k) |
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| 445 | thvx(i,k) = thx(i,k) |
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| 446 | enddo |
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| 447 | enddo |
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| 448 | ! |
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| 449 | do i = its,ite |
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| 450 | qgh(i) = 0. |
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| 451 | cpm(i) = cp |
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| 452 | enddo |
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| 453 | ! |
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| 454 | do k = kts,kte |
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| 455 | do i = its,ite |
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| 456 | tvcon = (1.+ep1*qx(i,k)) |
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| 457 | thvx(i,k) = thx(i,k)*tvcon |
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| 458 | scr4(i,k) = tx(i,k)*tvcon |
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| 459 | enddo |
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| 460 | enddo |
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| 461 | ! |
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| 462 | do i = its,ite |
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| 463 | e1 = svp1*exp(svp2*(tgdsa(i)-svpt0)/(tgdsa(i)-svp3)) |
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| 464 | qgh(i) = ep2*e1/(ps(i)-e1) |
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| 465 | cpm(i) = cp*(1.+0.8*qx(i,1)) |
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| 466 | enddo |
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| 467 | ! |
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| 468 | !-----compute the height of full- and half-sigma levels above ground |
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| 469 | ! level, and the layer thicknesses. |
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| 470 | ! |
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| 471 | do i = its,ite |
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| 472 | zq(i,1) = 0. |
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| 473 | rhox(i) = ps(i)*1000./(rd*scr4(i,1)) |
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| 474 | enddo |
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| 475 | ! |
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| 476 | do k = kts,kte |
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| 477 | do i = its,ite |
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| 478 | zq(i,k+1) = dz8w2d(i,k)+zq(i,k) |
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| 479 | enddo |
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| 480 | enddo |
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| 481 | ! |
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| 482 | do k = kts,kte |
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| 483 | do i = its,ite |
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| 484 | za(i,k) = 0.5*(zq(i,k)+zq(i,k+1)) |
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| 485 | dzq(i,k) = zq(i,k+1)-zq(i,k) |
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| 486 | enddo |
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| 487 | enddo |
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| 488 | ! |
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| 489 | do i = its,ite |
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| 490 | dza(i,1) = za(i,1) |
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| 491 | enddo |
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| 492 | ! |
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| 493 | do k = kts+1,kte |
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| 494 | do i = its,ite |
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| 495 | dza(i,k) = za(i,k)-za(i,k-1) |
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| 496 | enddo |
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| 497 | enddo |
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| 498 | ! |
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| 499 | do i = its,ite |
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| 500 | govrth(i) = g/thx(i,1) |
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| 501 | enddo |
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| 502 | ! |
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| 503 | !wig 16-sep-2005: Determine the k level associated with hpblmin. |
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| 504 | if( hpblmin >= 1. ) then |
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| 505 | do i = its,ite |
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| 506 | kmin(i) = 1 |
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| 507 | do k = kte-1,kts,-1 |
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| 508 | if( zq(i,k) <= hpblmin ) then |
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| 509 | kmin(i) = k |
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| 510 | exit |
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| 511 | end if |
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| 512 | end do |
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| 513 | end do |
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| 514 | end if |
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| 515 | ! |
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| 516 | !-----initialize vertical tendencies and |
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| 517 | ! |
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| 518 | do i = its,ite |
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| 519 | do k = kts,kte |
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| 520 | utnp(i,k) = 0. |
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| 521 | vtnp(i,k) = 0. |
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| 522 | ttnp(i,k) = 0. |
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| 523 | enddo |
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| 524 | enddo |
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| 525 | ! |
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| 526 | do k = kts,kte |
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| 527 | do i = its,ite |
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| 528 | qtnp(i,k) = 0. |
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| 529 | enddo |
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| 530 | enddo |
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| 531 | ! |
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| 532 | do k = kts,kte |
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| 533 | do i = its,ite |
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| 534 | qctnp(i,k) = 0. |
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| 535 | qitnp(i,k) = 0. |
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| 536 | enddo |
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| 537 | enddo |
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| 538 | ! |
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| 539 | do i = its,ite |
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| 540 | wspd1(i) = sqrt(ux(i,1)*ux(i,1)+vx(i,1)*vx(i,1))+1.e-9 |
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| 541 | enddo |
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| 542 | ! |
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| 543 | !---- compute vertical diffusion |
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| 544 | ! |
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| 545 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
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| 546 | ! compute preliminary variables |
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| 547 | ! |
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| 548 | dtstep = dt |
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| 549 | dt2 = 2.*dtstep |
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| 550 | rdt = 1./dt2 |
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| 551 | ! |
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| 552 | do i = its,ite |
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| 553 | bfxpbl(i) = 0.0 |
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| 554 | hfxpbl(i) = 0.0 |
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| 555 | qfxpbl(i) = 0.0 |
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| 556 | ufxpbl(i) = 0.0 |
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| 557 | vfxpbl(i) = 0.0 |
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| 558 | hgamu(i) = 0.0 |
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| 559 | hgamv(i) = 0.0 |
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| 560 | delta(i) = 0.0 |
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| 561 | enddo |
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| 562 | ! |
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| 563 | do k = kts,klpbl |
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| 564 | do i = its,ite |
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| 565 | wscalek(i,k) = 0.0 |
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| 566 | enddo |
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| 567 | enddo |
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| 568 | ! |
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| 569 | do k = kts,klpbl |
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| 570 | do i = its,ite |
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| 571 | zfac(i,k) = 0.0 |
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| 572 | enddo |
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| 573 | enddo |
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| 574 | ! |
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| 575 | do i = its,ite |
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| 576 | hgamt(i) = 0. |
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| 577 | hgamq(i) = 0. |
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| 578 | wscale(i) = 0. |
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| 579 | kpbl(i) = 1 |
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| 580 | hpbl(i) = zq(i,1) |
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| 581 | zl1(i) = za(i,1) |
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| 582 | thermal(i)= thvx(i,1) |
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| 583 | pblflg(i) = .true. |
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| 584 | sfcflg(i) = .true. |
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| 585 | !wig 12-aug-2004: Turn off check for sfc stability if using a minimum |
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| 586 | ! pbl height > 0. |
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| 587 | if(br(i).gt.0.0 .and. hpblmin<=1.) sfcflg(i) = .false. |
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| 588 | enddo |
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| 589 | ! |
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| 590 | ! compute the first guess of pbl height |
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| 591 | ! |
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| 592 | do i = its,ite |
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| 593 | stable(i) = .false. |
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| 594 | brup(i) = br(i) |
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| 595 | enddo |
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| 596 | ! |
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| 597 | do k = 2,klpbl |
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| 598 | do i = its,ite |
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| 599 | if(.not.stable(i))then |
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| 600 | brdn(i) = brup(i) |
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| 601 | spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.) |
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| 602 | brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2 |
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| 603 | kpbl(i) = k |
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| 604 | stable(i) = brup(i).gt.brcr |
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| 605 | endif |
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| 606 | enddo |
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| 607 | enddo |
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| 608 | ! |
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| 609 | do i = its,ite |
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| 610 | k = kpbl(i) |
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| 611 | if(brdn(i).ge.brcr)then |
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| 612 | brint = 0. |
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| 613 | elseif(brup(i).le.brcr)then |
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| 614 | brint = 1. |
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| 615 | else |
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| 616 | brint = (brcr-brdn(i))/(brup(i)-brdn(i)) |
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| 617 | endif |
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| 618 | hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1)) |
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| 619 | |
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| 620 | !wig 16-sep-2005: rig a minimum PBL heigt |
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| 621 | if( hpblmin >= 1. .and. hpbl(i).lt.hpblmin) then |
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| 622 | kpbl(i) = kmin(i) |
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| 623 | hpbl(i) = hpblmin |
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| 624 | else |
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| 625 | if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1 |
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| 626 | end if |
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| 627 | |
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| 628 | if(kpbl(i).le.1) pblflg(i) = .false. |
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| 629 | enddo |
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| 630 | ! |
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| 631 | do i = its,ite |
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| 632 | fm = gz1oz0(i)-psim(i) |
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| 633 | fh = gz1oz0(i)-psih(i) |
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| 634 | hol(i) = max(br(i)*fm*fm/fh,rimin) |
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| 635 | if(sfcflg(i))then |
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| 636 | hol(i) = min(hol(i),-zfmin) |
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| 637 | else |
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| 638 | hol(i) = max(hol(i),zfmin) |
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| 639 | endif |
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| 640 | ! |
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| 641 | hol1 = hol(i)*hpbl(i)/zl1(i)*sfcfrac |
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| 642 | hol(i) = -hol(i)*hpbl(i)/zl1(i) |
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| 643 | if(sfcflg(i))then |
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| 644 | phim(i) = (1.-aphi16*hol1)**(-1./4.) |
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| 645 | phih(i) = (1.-aphi16*hol1)**(-1./2.) |
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| 646 | bfx0 = max(hfx(i)/rhox(i)/cpm(i) & |
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| 647 | +ep1*thx(i,1)*qfx(i)/rhox(i),0.) |
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| 648 | hfx0 = max(hfx(i)/rhox(i)/cpm(i),0.) |
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| 649 | qfx0 = max(ep1*thx(i,1)*qfx(i)/rhox(i),0.) |
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| 650 | wstar3(i) = (govrth(i)*bfx0*hpbl(i)) |
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| 651 | wstar(i) = (wstar3(i))**h1 |
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| 652 | else |
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| 653 | phim(i) = (1.+aphi5*hol1) |
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| 654 | phih(i) = phim(i) |
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| 655 | wstar(i) = 0. |
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| 656 | wstar3(i) = 0. |
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| 657 | endif |
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| 658 | ust3(i) = ust(i)**3. |
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| 659 | wscale(i) = (ust3(i)+phifac*karman*wstar3(i)*0.5)**h1 |
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| 660 | wscale(i) = min(wscale(i),ust(i)*aphi16) |
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| 661 | wscale(i) = max(wscale(i),ust(i)/aphi5) |
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| 662 | enddo |
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| 663 | ! |
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| 664 | ! compute the surface variables for pbl height estimation |
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| 665 | ! under unstable conditions |
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| 666 | ! |
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| 667 | do i = its,ite |
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| 668 | if(sfcflg(i))then |
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| 669 | gamfac = bfac/rhox(i)/wscale(i) |
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| 670 | hgamt(i) = min(gamfac*hfx(i)/cpm(i),gamcrt) |
|---|
| 671 | hgamq(i) = min(gamfac*qfx(i),gamcrq) |
|---|
| 672 | vpert = (hgamt(i)+ep1*thx(i,1)*hgamq(i))/bfac*afac |
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| 673 | thermal(i) = thermal(i)+max(vpert,0.) |
|---|
| 674 | hgamt(i) = max(hgamt(i),0.0) |
|---|
| 675 | hgamq(i) = 0.0 |
|---|
| 676 | brint = -15.9*ust(i)*ust(i)/wspd(i)*wstar3(i) & |
|---|
| 677 | /(wscale(i)**4.) |
|---|
| 678 | hgamu(i) = brint*ux(i,1) |
|---|
| 679 | hgamv(i) = brint*vx(i,1) |
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| 680 | else |
|---|
| 681 | pblflg(i) = .false. |
|---|
| 682 | endif |
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| 683 | enddo |
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| 684 | ! |
|---|
| 685 | ! enhance the pbl height by considering the thermal |
|---|
| 686 | ! |
|---|
| 687 | do i = its,ite |
|---|
| 688 | if(pblflg(i))then |
|---|
| 689 | kpbl(i) = 1 |
|---|
| 690 | hpbl(i) = zq(i,1) |
|---|
| 691 | endif |
|---|
| 692 | enddo |
|---|
| 693 | ! |
|---|
| 694 | do i = its,ite |
|---|
| 695 | if(pblflg(i))then |
|---|
| 696 | stable(i) = .false. |
|---|
| 697 | brup(i) = br(i) |
|---|
| 698 | endif |
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| 699 | enddo |
|---|
| 700 | ! |
|---|
| 701 | do k = 2,klpbl |
|---|
| 702 | do i = its,ite |
|---|
| 703 | if(.not.stable(i).and.pblflg(i))then |
|---|
| 704 | brdn(i) = brup(i) |
|---|
| 705 | spdk2 = max((ux(i,k)**2+vx(i,k)**2),1.) |
|---|
| 706 | brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2 |
|---|
| 707 | kpbl(i) = k |
|---|
| 708 | stable(i) = brup(i).gt.brcr |
|---|
| 709 | endif |
|---|
| 710 | enddo |
|---|
| 711 | enddo |
|---|
| 712 | ! |
|---|
| 713 | do i = its,ite |
|---|
| 714 | if(pblflg(i))then |
|---|
| 715 | k = kpbl(i) |
|---|
| 716 | if(brdn(i).ge.brcr)then |
|---|
| 717 | brint = 0. |
|---|
| 718 | elseif(brup(i).le.brcr)then |
|---|
| 719 | brint = 1. |
|---|
| 720 | else |
|---|
| 721 | brint = (brcr-brdn(i))/(brup(i)-brdn(i)) |
|---|
| 722 | endif |
|---|
| 723 | hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1)) |
|---|
| 724 | |
|---|
| 725 | !wig 16-sep-2005: rig a minimum PBL heigt |
|---|
| 726 | if(hpblmin >= 1. .and. hpbl(i).lt.hpblmin) then |
|---|
| 727 | kpbl(i) = kmin(i) |
|---|
| 728 | hpbl(i) = hpblmin |
|---|
| 729 | else |
|---|
| 730 | if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1 |
|---|
| 731 | end if |
|---|
| 732 | |
|---|
| 733 | if(kpbl(i).le.1) pblflg(i) = .false. |
|---|
| 734 | endif |
|---|
| 735 | enddo |
|---|
| 736 | ! |
|---|
| 737 | ! estimate the entrainment parameters |
|---|
| 738 | ! |
|---|
| 739 | do i = its,ite |
|---|
| 740 | if(pblflg(i)) then |
|---|
| 741 | k = kpbl(i) - 1 |
|---|
| 742 | ss = ((ux(i,k+1)-ux(i,k))*(ux(i,k+1)-ux(i,k))+(vx(i,k+1)- & |
|---|
| 743 | vx(i,k))*(vx(i,k+1)-vx(i,k)))/(dza(i,k+1)*dza(i,k+1))+ & |
|---|
| 744 | 1.e-9 |
|---|
| 745 | govrthv = g/(0.5*(thvx(i,k+1)+thvx(i,k))) |
|---|
| 746 | ri = govrthv*(thvx(i,k+1)-thvx(i,k))/(ss*dza(i,k+1)) |
|---|
| 747 | if(imvdif.eq.1)then |
|---|
| 748 | if((qcx(i,k)+qix(i,k)).gt.0.01e-3.and.(qcx(i,k+1)+ & |
|---|
| 749 | qix(i,k+1)).gt.0.01e-3)then |
|---|
| 750 | ! in cloud |
|---|
| 751 | qmean = 0.5*(qx(i,k)+qx(i,k+1)) |
|---|
| 752 | tmean = 0.5*(tx(i,k)+tx(i,k+1)) |
|---|
| 753 | alph = xlv*qmean/rd/tmean |
|---|
| 754 | chi = xlv*xlv*qmean/cp/rv/tmean/tmean |
|---|
| 755 | ri = (1.+alph)*(ri-g*g/ss/tmean/cp*((chi-alph)/(1.+chi))) |
|---|
| 756 | endif |
|---|
| 757 | endif |
|---|
| 758 | prpbl(i) = 1.0 |
|---|
| 759 | wm3 = wstar3(i) + 5. * ust3(i) |
|---|
| 760 | wm2(i) = wm3**h2 |
|---|
| 761 | bfxpbl(i) = -0.15*thvx(i,1)/g*wm3/hpbl(i) |
|---|
| 762 | dthvx(i) = max(thvx(i,k+1)-thvx(i,k),qmin) |
|---|
| 763 | dthx = max(thx(i,k+1)-thx(i,k),qmin) |
|---|
| 764 | dqx = min(qx(i,k+1)-qx(i,k),0.0) |
|---|
| 765 | we(i) = max(bfxpbl(i)/dthvx(i),-sqrt(wm2(i))) |
|---|
| 766 | hfxpbl(i) = we(i)*dthx |
|---|
| 767 | qfxpbl(i) = we(i)*dqx |
|---|
| 768 | ! |
|---|
| 769 | dux = ux(i,k+1)-ux(i,k) |
|---|
| 770 | dvx = vx(i,k+1)-vx(i,k) |
|---|
| 771 | if(dux.gt.qmin) then |
|---|
| 772 | ufxpbl(i) = max(prpbl(i)*we(i)*dux,-ust(i)*ust(i)) |
|---|
| 773 | elseif(dux.lt.-qmin) then |
|---|
| 774 | ufxpbl(i) = min(prpbl(i)*we(i)*dux,ust(i)*ust(i)) |
|---|
| 775 | else |
|---|
| 776 | ufxpbl(i) = 0.0 |
|---|
| 777 | endif |
|---|
| 778 | if(dvx.gt.qmin) then |
|---|
| 779 | vfxpbl(i) = max(prpbl(i)*we(i)*dvx,-ust(i)*ust(i)) |
|---|
| 780 | elseif(dvx.lt.-qmin) then |
|---|
| 781 | vfxpbl(i) = min(prpbl(i)*we(i)*dvx,ust(i)*ust(i)) |
|---|
| 782 | else |
|---|
| 783 | vfxpbl(i) = 0.0 |
|---|
| 784 | endif |
|---|
| 785 | delb = govrth(i)*d3*hpbl(i) |
|---|
| 786 | delta(i) = min(d1*hpbl(i) + d2*wm2(i)/delb,100.) |
|---|
| 787 | endif |
|---|
| 788 | enddo |
|---|
| 789 | ! |
|---|
| 790 | do k = kts,klpbl |
|---|
| 791 | do i = its,ite |
|---|
| 792 | if(pblflg(i).and.k.ge.kpbl(i))then |
|---|
| 793 | entfac(i,k) = ((zq(i,k+1)-hpbl(i))/delta(i))**2. |
|---|
| 794 | else |
|---|
| 795 | entfac(i,k) = 1.e30 |
|---|
| 796 | endif |
|---|
| 797 | enddo |
|---|
| 798 | enddo |
|---|
| 799 | ! |
|---|
| 800 | ! compute diffusion coefficients below pbl |
|---|
| 801 | ! |
|---|
| 802 | do k = kts,klpbl |
|---|
| 803 | do i = its,ite |
|---|
| 804 | if(k.lt.kpbl(i)) then |
|---|
| 805 | zfac(i,k) = min(max((1.-(zq(i,k+1)-zl1(i)) & |
|---|
| 806 | /(hpbl(i)-zl1(i))),zfmin),1.) |
|---|
| 807 | xkzo = ckz*dza(i,k+1) |
|---|
| 808 | zfacent(i,k) = (1.-zfac(i,k))**3. |
|---|
| 809 | prnumfac = -3.*(max(zq(i,k+1)-sfcfrac*hpbl(i),0.))**2. & |
|---|
| 810 | /hpbl(i)**2. |
|---|
| 811 | prnum = (phih(i)/phim(i)+bfac*karman*sfcfrac) |
|---|
| 812 | prnum = 1. + (prnum-1.)*exp(prnumfac) |
|---|
| 813 | prnum = min(prnum,prmax) |
|---|
| 814 | prnum = max(prnum,prmin) |
|---|
| 815 | wscalek(i,k) = (ust3(i)+phifac*karman*wstar3(i) & |
|---|
| 816 | *(1.-zfac(i,k)))**h1 |
|---|
| 817 | xkzm(i,k) = xkzo+wscalek(i,k)*karman*zq(i,k+1) & |
|---|
| 818 | *zfac(i,k)**pfac |
|---|
| 819 | xkzh(i,k) = xkzm(i,k)/prnum |
|---|
| 820 | xkzm(i,k) = min(xkzm(i,k),xkzmax) |
|---|
| 821 | xkzm(i,k) = max(xkzm(i,k),xkzmin) |
|---|
| 822 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 823 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 824 | !wig 16-sep-2005: This code is unnecessary. exch_hx will get overwritten |
|---|
| 825 | ! with the same values further down in this routine |
|---|
| 826 | ! exch_hx(i,k) = xkzh(i,k) |
|---|
| 827 | endif |
|---|
| 828 | enddo |
|---|
| 829 | enddo |
|---|
| 830 | ! |
|---|
| 831 | ! compute diffusion coefficients over pbl (free atmosphere) |
|---|
| 832 | ! |
|---|
| 833 | do k = kts,kte-1 |
|---|
| 834 | do i = its,ite |
|---|
| 835 | xkzo = ckz*dza(i,k+1) |
|---|
| 836 | if(k.ge.kpbl(i)) then |
|---|
| 837 | ss = ((ux(i,k+1)-ux(i,k))*(ux(i,k+1)-ux(i,k))+(vx(i,k+1)- & |
|---|
| 838 | vx(i,k))*(vx(i,k+1)-vx(i,k)))/(dza(i,k+1)*dza(i,k+1))+ & |
|---|
| 839 | 1.e-9 |
|---|
| 840 | govrthv = g/(0.5*(thvx(i,k+1)+thvx(i,k))) |
|---|
| 841 | ri = govrthv*(thvx(i,k+1)-thvx(i,k))/(ss*dza(i,k+1)) |
|---|
| 842 | if(imvdif.eq.1)then |
|---|
| 843 | if((qcx(i,k)+qix(i,k)).gt.0.01e-3.and.(qcx(i,k+1)+ & |
|---|
| 844 | qix(i,k+1)).gt.0.01e-3)then |
|---|
| 845 | ! in cloud |
|---|
| 846 | qmean = 0.5*(qx(i,k)+qx(i,k+1)) |
|---|
| 847 | tmean = 0.5*(tx(i,k)+tx(i,k+1)) |
|---|
| 848 | alph = xlv*qmean/rd/tmean |
|---|
| 849 | chi = xlv*xlv*qmean/cp/rv/tmean/tmean |
|---|
| 850 | ri = (1.+alph)*(ri-g*g/ss/tmean/cp*((chi-alph)/(1.+chi))) |
|---|
| 851 | endif |
|---|
| 852 | endif |
|---|
| 853 | zk = karman*zq(i,k+1) |
|---|
| 854 | rl2 = (zk*rlam/(rlam+zk))**2 |
|---|
| 855 | dk = rl2*sqrt(ss) |
|---|
| 856 | if(ri.lt.0.)then |
|---|
| 857 | ! unstable regime |
|---|
| 858 | sri = sqrt(-ri) |
|---|
| 859 | xkzm(i,k) = xkzo+dk*(1+8.*(-ri)/(1+1.746*sri)) |
|---|
| 860 | xkzh(i,k) = xkzo+dk*(1+8.*(-ri)/(1+1.286*sri)) |
|---|
| 861 | else |
|---|
| 862 | ! stable regime |
|---|
| 863 | xkzh(i,k) = xkzo+dk/(1+5.*ri)**2 |
|---|
| 864 | prnum = 1.0+2.1*ri |
|---|
| 865 | prnum = min(prnum,prmax) |
|---|
| 866 | xkzm(i,k) = (xkzh(i,k)-xkzo)*prnum+xkzo |
|---|
| 867 | endif |
|---|
| 868 | ! |
|---|
| 869 | xkzm(i,k) = min(xkzm(i,k),xkzmax) |
|---|
| 870 | xkzm(i,k) = max(xkzm(i,k),xkzmin) |
|---|
| 871 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 872 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 873 | xkzml(i,k) = xkzm(i,k) |
|---|
| 874 | xkzhl(i,k) = xkzh(i,k) |
|---|
| 875 | !wig 16-sep-2005: This code is unnecessary. exch_hx will get overwritten |
|---|
| 876 | ! further down in this routine after adjustments are made |
|---|
| 877 | ! for entrainment. |
|---|
| 878 | ! exch_hx(i,k) = xkzh(i,k) |
|---|
| 879 | endif |
|---|
| 880 | enddo |
|---|
| 881 | enddo |
|---|
| 882 | ! |
|---|
| 883 | ! compute tridiagonal matrix elements for heat and moisture, and clouds |
|---|
| 884 | ! |
|---|
| 885 | do i = its,ite |
|---|
| 886 | do k = kts,kte |
|---|
| 887 | au(i,k) = 0. |
|---|
| 888 | al(i,k) = 0. |
|---|
| 889 | ad(i,k) = 0. |
|---|
| 890 | f1(i,k) = 0. |
|---|
| 891 | enddo |
|---|
| 892 | enddo |
|---|
| 893 | ! |
|---|
| 894 | do ic = 1,ncloud |
|---|
| 895 | do i = its,ite |
|---|
| 896 | do k = kts,kte |
|---|
| 897 | f3(i,k,ic) = 0. |
|---|
| 898 | enddo |
|---|
| 899 | enddo |
|---|
| 900 | enddo |
|---|
| 901 | ! |
|---|
| 902 | do i = its,ite |
|---|
| 903 | ad(i,1) = 1. |
|---|
| 904 | f1(i,1) = thx(i,1)+hfx(i)/(rhox(i)*cpm(i))/zq(i,2)*dt2 |
|---|
| 905 | f3(i,1,1) = qx(i,1)+qfx(i)/(rhox(i))/zq(i,2)*dt2 |
|---|
| 906 | enddo |
|---|
| 907 | ! |
|---|
| 908 | if(ncloud.ge.2) then |
|---|
| 909 | do ic = 2,ncloud |
|---|
| 910 | do i = its,ite |
|---|
| 911 | if(ic.eq.2) then |
|---|
| 912 | f3(i,1,ic) = qcx(i,1) |
|---|
| 913 | elseif(ic.eq.3) then |
|---|
| 914 | f3(i,1,ic) = qix(i,1) |
|---|
| 915 | endif |
|---|
| 916 | enddo |
|---|
| 917 | enddo |
|---|
| 918 | endif |
|---|
| 919 | ! |
|---|
| 920 | do k = kts,kte-1 |
|---|
| 921 | do i = its,ite |
|---|
| 922 | dtodsd = dt2/dz8w2d(i,k) |
|---|
| 923 | dtodsu = dt2/dz8w2d(i,k+1) |
|---|
| 924 | rdz = 1./dza(i,k+1) |
|---|
| 925 | if(pblflg(i).and.k.lt.kpbl(i)) then |
|---|
| 926 | dsdzt = xkzh(i,k)*(-hgamt(i)/hpbl(i) & |
|---|
| 927 | -hfxpbl(i)*zfacent(i,k)/xkzh(i,k)) |
|---|
| 928 | dsdzq = xkzh(i,k)*(-hgamq(i)/hpbl(i) & |
|---|
| 929 | -qfxpbl(i)*zfacent(i,k)/xkzh(i,k)) |
|---|
| 930 | f1(i,k) = f1(i,k)+dtodsd*dsdzt |
|---|
| 931 | f1(i,k+1) = thx(i,k+1)-dtodsu*dsdzt |
|---|
| 932 | f3(i,k,1) = f3(i,k,1)+dtodsd*dsdzq |
|---|
| 933 | f3(i,k+1,1) = qx(i,k+1)-dtodsu*dsdzq |
|---|
| 934 | elseif(pblflg(i).and.k.ge.kpbl(i).and.entfac(i,k).lt.4.6) then |
|---|
| 935 | xkzh(i,k) = -we(i)*dza(i,kpbl(i))*exp(-entfac(i,k)) |
|---|
| 936 | xkzh(i,k) = sqrt(xkzh(i,k)*xkzhl(i,k)) |
|---|
| 937 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 938 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 939 | f1(i,k+1) = thx(i,k+1) |
|---|
| 940 | f3(i,k+1,1) = qx(i,k+1) |
|---|
| 941 | else |
|---|
| 942 | f1(i,k+1) = thx(i,k+1) |
|---|
| 943 | f3(i,k+1,1) = qx(i,k+1) |
|---|
| 944 | endif |
|---|
| 945 | dsdz2 = xkzh(i,k)*rdz |
|---|
| 946 | au(i,k) = -dtodsd*dsdz2 |
|---|
| 947 | al(i,k) = -dtodsu*dsdz2 |
|---|
| 948 | ad(i,k) = ad(i,k)-au(i,k) |
|---|
| 949 | ad(i,k+1) = 1.-al(i,k) |
|---|
| 950 | exch_hx(i,k) = xkzh(i,k) |
|---|
| 951 | enddo |
|---|
| 952 | enddo |
|---|
| 953 | ! |
|---|
| 954 | if(ncloud.ge.2) then |
|---|
| 955 | do ic = 2,ncloud |
|---|
| 956 | do k = kts,kte-1 |
|---|
| 957 | do i = its,ite |
|---|
| 958 | if(ic.eq.2) then |
|---|
| 959 | f3(i,k+1,ic) = qcx(i,k+1) |
|---|
| 960 | elseif(ic.eq.3) then |
|---|
| 961 | f3(i,k+1,ic) = qix(i,k+1) |
|---|
| 962 | endif |
|---|
| 963 | enddo |
|---|
| 964 | enddo |
|---|
| 965 | enddo |
|---|
| 966 | endif |
|---|
| 967 | |
|---|
| 968 | ! copies here to avoid duplicate input args for tridin |
|---|
| 969 | |
|---|
| 970 | do k = kts,kte |
|---|
| 971 | do i = its,ite |
|---|
| 972 | cu(i,k) = au(i,k) |
|---|
| 973 | r1(i,k) = f1(i,k) |
|---|
| 974 | enddo |
|---|
| 975 | enddo |
|---|
| 976 | ! |
|---|
| 977 | do ic = 1,ncloud |
|---|
| 978 | do k = kts,kte |
|---|
| 979 | do i = its,ite |
|---|
| 980 | r3(i,k,ic) = f3(i,k,ic) |
|---|
| 981 | enddo |
|---|
| 982 | enddo |
|---|
| 983 | enddo |
|---|
| 984 | ! |
|---|
| 985 | ! |
|---|
| 986 | ! solve tridiagonal problem for heat and moisture, and clouds |
|---|
| 987 | ! |
|---|
| 988 | call tridin(al,ad,cu,r1,r3,au,f1,f3, & |
|---|
| 989 | its,ite,kts,kte,ncloud ) |
|---|
| 990 | ! |
|---|
| 991 | ! recover tendencies of heat and moisture |
|---|
| 992 | ! |
|---|
| 993 | do k = kte,kts,-1 |
|---|
| 994 | do i = its,ite |
|---|
| 995 | ttend = (f1(i,k)-thx(i,k))*rdt*(tx(i,k)/thx(i,k)) |
|---|
| 996 | qtend = (f3(i,k,1)-qx(i,k))*rdt |
|---|
| 997 | ttnp(i,k) = ttnp(i,k)+ttend |
|---|
| 998 | qtnp(i,k) = qtnp(i,k)+qtend |
|---|
| 999 | enddo |
|---|
| 1000 | enddo |
|---|
| 1001 | ! |
|---|
| 1002 | if(ncloud.ge.2) then |
|---|
| 1003 | do ic = 2,ncloud |
|---|
| 1004 | do k = kte,kts,-1 |
|---|
| 1005 | do i = its,ite |
|---|
| 1006 | if(ic.eq.2) then |
|---|
| 1007 | qctend = (f3(i,k,ic)-qcx(i,k))*rdt |
|---|
| 1008 | qctnp(i,k) = qctnp(i,k)+qctend |
|---|
| 1009 | elseif(ic.eq.3) then |
|---|
| 1010 | qitend = (f3(i,k,ic)-qix(i,k))*rdt |
|---|
| 1011 | qitnp(i,k) = qitnp(i,k)+qitend |
|---|
| 1012 | endif |
|---|
| 1013 | enddo |
|---|
| 1014 | enddo |
|---|
| 1015 | enddo |
|---|
| 1016 | endif |
|---|
| 1017 | ! |
|---|
| 1018 | ! compute tridiagonal matrix elements for momentum |
|---|
| 1019 | ! |
|---|
| 1020 | do i = its,ite |
|---|
| 1021 | do k = kts,kte |
|---|
| 1022 | au(i,k) = 0. |
|---|
| 1023 | al(i,k) = 0. |
|---|
| 1024 | ad(i,k) = 0. |
|---|
| 1025 | f1(i,k) = 0. |
|---|
| 1026 | f2(i,k) = 0. |
|---|
| 1027 | enddo |
|---|
| 1028 | enddo |
|---|
| 1029 | ! |
|---|
| 1030 | do i = its,ite |
|---|
| 1031 | ad(i,1) = 1. |
|---|
| 1032 | f1(i,1) = ux(i,1)-ux(i,1)/wspd1(i)*ust(i)*ust(i)/zq(i,2)*dt2 & |
|---|
| 1033 | *(wspd1(i)/wspd(i))**2 |
|---|
| 1034 | f2(i,1) = vx(i,1)-vx(i,1)/wspd1(i)*ust(i)*ust(i)/zq(i,2)*dt2 & |
|---|
| 1035 | *(wspd1(i)/wspd(i))**2 |
|---|
| 1036 | enddo |
|---|
| 1037 | ! |
|---|
| 1038 | do k = kts,kte-1 |
|---|
| 1039 | do i = its,ite |
|---|
| 1040 | dtodsd = dt2/dz8w2d(i,k) |
|---|
| 1041 | dtodsu = dt2/dz8w2d(i,k+1) |
|---|
| 1042 | rdz = 1./dza(i,k+1) |
|---|
| 1043 | if(pblflg(i).and.k.lt.kpbl(i))then |
|---|
| 1044 | dsdzu=xkzm(i,k)*(-hgamu(i)/hpbl(i) & |
|---|
| 1045 | -ufxpbl(i)*zfacent(i,k)/xkzm(i,k)) |
|---|
| 1046 | dsdzv=xkzm(i,k)*(-hgamv(i)/hpbl(i) & |
|---|
| 1047 | -vfxpbl(i)*zfacent(i,k)/xkzm(i,k)) |
|---|
| 1048 | f1(i,k) = f1(i,k)+dtodsd*dsdzu |
|---|
| 1049 | f1(i,k+1) = ux(i,k+1)-dtodsu*dsdzu |
|---|
| 1050 | f2(i,k) = f2(i,k)+dtodsd*dsdzv |
|---|
| 1051 | f2(i,k+1) = vx(i,k+1)-dtodsu*dsdzv |
|---|
| 1052 | elseif(pblflg(i).and.k.ge.kpbl(i).and.entfac(i,k).lt.4.6) then |
|---|
| 1053 | xkzm(i,k) = prpbl(i)*xkzh(i,k) |
|---|
| 1054 | xkzm(i,k) = sqrt(xkzm(i,k)*xkzml(i,k)) |
|---|
| 1055 | xkzm(i,k)=min(xkzm(i,k),xkzmax) |
|---|
| 1056 | xkzm(i,k)=max(xkzm(i,k),xkzmin) |
|---|
| 1057 | f1(i,k+1)=ux(i,k+1) |
|---|
| 1058 | f2(i,k+1)=vx(i,k+1) |
|---|
| 1059 | else |
|---|
| 1060 | f1(i,k+1) = ux(i,k+1) |
|---|
| 1061 | f2(i,k+1) = vx(i,k+1) |
|---|
| 1062 | endif |
|---|
| 1063 | dsdz2 = xkzm(i,k)*rdz |
|---|
| 1064 | au(i,k) = -dtodsd*dsdz2 |
|---|
| 1065 | al(i,k) = -dtodsu*dsdz2 |
|---|
| 1066 | ad(i,k) = ad(i,k)-au(i,k) |
|---|
| 1067 | ad(i,k+1) = 1.-al(i,k) |
|---|
| 1068 | enddo |
|---|
| 1069 | enddo |
|---|
| 1070 | |
|---|
| 1071 | ! copies here to avoid duplicate input args for tridin |
|---|
| 1072 | |
|---|
| 1073 | do k = kts,kte |
|---|
| 1074 | do i = its,ite |
|---|
| 1075 | cu(i,k) = au(i,k) |
|---|
| 1076 | r1(i,k) = f1(i,k) |
|---|
| 1077 | r2(i,k) = f2(i,k) |
|---|
| 1078 | enddo |
|---|
| 1079 | enddo |
|---|
| 1080 | ! |
|---|
| 1081 | ! |
|---|
| 1082 | ! solve tridiagonal problem for momentum |
|---|
| 1083 | ! |
|---|
| 1084 | call tridin(al,ad,cu,r1,r2,au,f1,f2, & |
|---|
| 1085 | its,ite,kts,kte,1 ) |
|---|
| 1086 | ! |
|---|
| 1087 | ! recover tendencies of momentum |
|---|
| 1088 | ! |
|---|
| 1089 | do k = kte,kts,-1 |
|---|
| 1090 | do i = its,ite |
|---|
| 1091 | utend = (f1(i,k)-ux(i,k))*rdt |
|---|
| 1092 | vtend = (f2(i,k)-vx(i,k))*rdt |
|---|
| 1093 | utnp(i,k) = utnp(i,k)+utend |
|---|
| 1094 | vtnp(i,k) = vtnp(i,k)+vtend |
|---|
| 1095 | enddo |
|---|
| 1096 | enddo |
|---|
| 1097 | ! |
|---|
| 1098 | !---- end of vertical diffusion |
|---|
| 1099 | ! |
|---|
| 1100 | do i = its,ite |
|---|
| 1101 | kpbl1d(i) = kpbl(i) |
|---|
| 1102 | enddo |
|---|
| 1103 | ! |
|---|
| 1104 | end subroutine ysu2d |
|---|
| 1105 | ! |
|---|
| 1106 | subroutine tridin(cl,cm,cu,r1,r2,au,f1,f2, & |
|---|
| 1107 | its,ite,kts,kte,nt ) |
|---|
| 1108 | !---------------------------------------------------------------- |
|---|
| 1109 | implicit none |
|---|
| 1110 | !---------------------------------------------------------------- |
|---|
| 1111 | ! |
|---|
| 1112 | integer, intent(in ) :: its,ite, kts,kte, nt |
|---|
| 1113 | ! |
|---|
| 1114 | real, dimension( its:ite, kts+1:kte+1 ) , & |
|---|
| 1115 | intent(in ) :: cl |
|---|
| 1116 | ! |
|---|
| 1117 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1118 | intent(in ) :: cm, & |
|---|
| 1119 | r1 |
|---|
| 1120 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1121 | intent(in ) :: r2 |
|---|
| 1122 | ! |
|---|
| 1123 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1124 | intent(inout) :: au, & |
|---|
| 1125 | cu, & |
|---|
| 1126 | f1 |
|---|
| 1127 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1128 | intent(inout) :: f2 |
|---|
| 1129 | ! |
|---|
| 1130 | real :: fk |
|---|
| 1131 | integer :: i,k,l,n,it |
|---|
| 1132 | ! |
|---|
| 1133 | !---------------------------------------------------------------- |
|---|
| 1134 | ! |
|---|
| 1135 | l = ite |
|---|
| 1136 | n = kte |
|---|
| 1137 | ! |
|---|
| 1138 | do i = its,l |
|---|
| 1139 | fk = 1./cm(i,1) |
|---|
| 1140 | au(i,1) = fk*cu(i,1) |
|---|
| 1141 | f1(i,1) = fk*r1(i,1) |
|---|
| 1142 | enddo |
|---|
| 1143 | do it = 1,nt |
|---|
| 1144 | do i = its,l |
|---|
| 1145 | fk = 1./cm(i,1) |
|---|
| 1146 | f2(i,1,it) = fk*r2(i,1,it) |
|---|
| 1147 | enddo |
|---|
| 1148 | enddo |
|---|
| 1149 | do k = kts+1,n-1 |
|---|
| 1150 | do i = its,l |
|---|
| 1151 | fk = 1./(cm(i,k)-cl(i,k)*au(i,k-1)) |
|---|
| 1152 | au(i,k) = fk*cu(i,k) |
|---|
| 1153 | f1(i,k) = fk*(r1(i,k)-cl(i,k)*f1(i,k-1)) |
|---|
| 1154 | enddo |
|---|
| 1155 | enddo |
|---|
| 1156 | do it = 1,nt |
|---|
| 1157 | do k = kts+1,n-1 |
|---|
| 1158 | do i = its,l |
|---|
| 1159 | fk = 1./(cm(i,k)-cl(i,k)*au(i,k-1)) |
|---|
| 1160 | f2(i,k,it) = fk*(r2(i,k,it)-cl(i,k)*f2(i,k-1,it)) |
|---|
| 1161 | enddo |
|---|
| 1162 | enddo |
|---|
| 1163 | enddo |
|---|
| 1164 | do i = its,l |
|---|
| 1165 | fk = 1./(cm(i,n)-cl(i,n)*au(i,n-1)) |
|---|
| 1166 | f1(i,n) = fk*(r1(i,n)-cl(i,n)*f1(i,n-1)) |
|---|
| 1167 | enddo |
|---|
| 1168 | do it = 1,nt |
|---|
| 1169 | do i = its,l |
|---|
| 1170 | fk = 1./(cm(i,n)-cl(i,n)*au(i,n-1)) |
|---|
| 1171 | f2(i,n,it) = fk*(r2(i,n,it)-cl(i,n)*f2(i,n-1,it)) |
|---|
| 1172 | enddo |
|---|
| 1173 | enddo |
|---|
| 1174 | do k = n-1,kts,-1 |
|---|
| 1175 | do i = its,l |
|---|
| 1176 | f1(i,k) = f1(i,k)-au(i,k)*f1(i,k+1) |
|---|
| 1177 | enddo |
|---|
| 1178 | enddo |
|---|
| 1179 | do it = 1,nt |
|---|
| 1180 | do k = n-1,kts,-1 |
|---|
| 1181 | do i = its,l |
|---|
| 1182 | f2(i,k,it) = f2(i,k,it)-au(i,k)*f2(i,k+1,it) |
|---|
| 1183 | enddo |
|---|
| 1184 | enddo |
|---|
| 1185 | enddo |
|---|
| 1186 | ! |
|---|
| 1187 | end subroutine tridin |
|---|
| 1188 | ! |
|---|
| 1189 | subroutine ysuinit(rublten,rvblten,rthblten,rqvblten, & |
|---|
| 1190 | rqcblten,rqiblten,p_qi,p_first_scalar, & |
|---|
| 1191 | restart, allowed_to_read, & |
|---|
| 1192 | ids, ide, jds, jde, kds, kde, & |
|---|
| 1193 | ims, ime, jms, jme, kms, kme, & |
|---|
| 1194 | its, ite, jts, jte, kts, kte ) |
|---|
| 1195 | !------------------------------------------------------------------- |
|---|
| 1196 | implicit none |
|---|
| 1197 | !------------------------------------------------------------------- |
|---|
| 1198 | ! |
|---|
| 1199 | logical , intent(in) :: restart, allowed_to_read |
|---|
| 1200 | integer , intent(in) :: ids, ide, jds, jde, kds, kde, & |
|---|
| 1201 | ims, ime, jms, jme, kms, kme, & |
|---|
| 1202 | its, ite, jts, jte, kts, kte |
|---|
| 1203 | integer , intent(in) :: p_qi,p_first_scalar |
|---|
| 1204 | real , dimension( ims:ime , kms:kme , jms:jme ), intent(out) :: & |
|---|
| 1205 | rublten, & |
|---|
| 1206 | rvblten, & |
|---|
| 1207 | rthblten, & |
|---|
| 1208 | rqvblten, & |
|---|
| 1209 | rqcblten, & |
|---|
| 1210 | rqiblten |
|---|
| 1211 | integer :: i, j, k, itf, jtf, ktf |
|---|
| 1212 | ! |
|---|
| 1213 | jtf = min0(jte,jde-1) |
|---|
| 1214 | ktf = min0(kte,kde-1) |
|---|
| 1215 | itf = min0(ite,ide-1) |
|---|
| 1216 | ! |
|---|
| 1217 | if(.not.restart)then |
|---|
| 1218 | do j = jts,jtf |
|---|
| 1219 | do k = kts,ktf |
|---|
| 1220 | do i = its,itf |
|---|
| 1221 | rublten(i,k,j) = 0. |
|---|
| 1222 | rvblten(i,k,j) = 0. |
|---|
| 1223 | rthblten(i,k,j) = 0. |
|---|
| 1224 | rqvblten(i,k,j) = 0. |
|---|
| 1225 | rqcblten(i,k,j) = 0. |
|---|
| 1226 | enddo |
|---|
| 1227 | enddo |
|---|
| 1228 | enddo |
|---|
| 1229 | endif |
|---|
| 1230 | ! |
|---|
| 1231 | if (p_qi .ge. p_first_scalar .and. .not.restart) then |
|---|
| 1232 | do j = jts,jtf |
|---|
| 1233 | do k = kts,ktf |
|---|
| 1234 | do i = its,itf |
|---|
| 1235 | rqiblten(i,k,j) = 0. |
|---|
| 1236 | enddo |
|---|
| 1237 | enddo |
|---|
| 1238 | enddo |
|---|
| 1239 | endif |
|---|
| 1240 | ! |
|---|
| 1241 | end subroutine ysuinit |
|---|
| 1242 | !------------------------------------------------------------------- |
|---|
| 1243 | end module module_bl_ysu |
|---|