| 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 | ! |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! |
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| 9 | module module_bl_ysu |
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| 10 | contains |
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| 11 | ! |
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| 12 | ! |
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| 13 | !------------------------------------------------------------------- |
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| 14 | ! |
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| 15 | subroutine ysu(u3d,v3d,th3d,t3d,qv3d,qc3d,qi3d,p3d,p3di,pi3d, & |
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| 16 | rublten,rvblten,rthblten, & |
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| 17 | rqvblten,rqcblten,rqiblten,flag_qi, & |
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| 18 | cp,g,rovcp,rd,rovg,ep1,ep2,karman,xlv,rv, & |
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| 19 | dz8w,psfc, & |
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| 20 | znu,znw,mut,p_top, & |
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| 21 | znt,ust,hpbl,psim,psih, & |
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| 22 | xland,hfx,qfx,gz1oz0,wspd,br, & |
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| 23 | dt,kpbl2d, & |
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| 24 | exch_h, & |
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| 25 | u10,v10, & |
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| 26 | ids,ide, jds,jde, kds,kde, & |
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| 27 | ims,ime, jms,jme, kms,kme, & |
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| 28 | its,ite, jts,jte, kts,kte, & |
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| 29 | !optional |
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| 30 | regime ) |
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| 31 | !------------------------------------------------------------------- |
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| 32 | implicit none |
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| 33 | !------------------------------------------------------------------- |
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| 34 | !-- u3d 3d u-velocity interpolated to theta points (m/s) |
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| 35 | !-- v3d 3d v-velocity interpolated to theta points (m/s) |
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| 36 | !-- th3d 3d potential temperature (k) |
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| 37 | !-- t3d temperature (k) |
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| 38 | !-- qv3d 3d water vapor mixing ratio (kg/kg) |
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| 39 | !-- qc3d 3d cloud mixing ratio (kg/kg) |
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| 40 | !-- qi3d 3d ice mixing ratio (kg/kg) |
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| 41 | ! (note: if P_QI<PARAM_FIRST_SCALAR this should be zero filled) |
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| 42 | !-- p3d 3d pressure (pa) |
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| 43 | !-- p3di 3d pressure (pa) at interface level |
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| 44 | !-- pi3d 3d exner function (dimensionless) |
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| 45 | !-- rr3d 3d dry air density (kg/m^3) |
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| 46 | !-- rublten u tendency due to |
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| 47 | ! pbl parameterization (m/s/s) |
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| 48 | !-- rvblten v tendency due to |
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| 49 | ! pbl parameterization (m/s/s) |
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| 50 | !-- rthblten theta tendency due to |
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| 51 | ! pbl parameterization (K/s) |
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| 52 | !-- rqvblten qv tendency due to |
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| 53 | ! pbl parameterization (kg/kg/s) |
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| 54 | !-- rqcblten qc tendency due to |
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| 55 | ! pbl parameterization (kg/kg/s) |
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| 56 | !-- rqiblten qi tendency due to |
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| 57 | ! pbl parameterization (kg/kg/s) |
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| 58 | !-- cp heat capacity at constant pressure for dry air (j/kg/k) |
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| 59 | !-- g acceleration due to gravity (m/s^2) |
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| 60 | !-- rovcp r/cp |
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| 61 | !-- rd gas constant for dry air (j/kg/k) |
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| 62 | !-- rovg r/g |
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| 63 | !-- dz8w dz between full levels (m) |
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| 64 | !-- xlv latent heat of vaporization (j/kg) |
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| 65 | !-- rv gas constant for water vapor (j/kg/k) |
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| 66 | !-- psfc pressure at the surface (pa) |
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| 67 | !-- znt roughness length (m) |
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| 68 | !-- ust u* in similarity theory (m/s) |
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| 69 | !-- hpbl pbl height (m) |
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| 70 | !-- psim similarity stability function for momentum |
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| 71 | !-- psih similarity stability function for heat |
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| 72 | !-- xland land mask (1 for land, 2 for water) |
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| 73 | !-- hfx upward heat flux at the surface (w/m^2) |
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| 74 | !-- qfx upward moisture flux at the surface (kg/m^2/s) |
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| 75 | !-- gz1oz0 log(z/z0) where z0 is roughness length |
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| 76 | !-- wspd wind speed at lowest model level (m/s) |
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| 77 | !-- u10 u-wind speed at 10 m (m/s) |
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| 78 | !-- v10 v-wind speed at 10 m (m/s) |
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| 79 | !-- br bulk richardson number in surface layer |
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| 80 | !-- dt time step (s) |
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| 81 | !-- rvovrd r_v divided by r_d (dimensionless) |
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| 82 | !-- ep1 constant for virtual temperature (r_v/r_d - 1) (dimensionless) |
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| 83 | !-- ep2 constant for specific humidity calculation |
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| 84 | !-- karman von karman constant |
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| 85 | !-- ids start index for i in domain |
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| 86 | !-- ide end index for i in domain |
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| 87 | !-- jds start index for j in domain |
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| 88 | !-- jde end index for j in domain |
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| 89 | !-- kds start index for k in domain |
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| 90 | !-- kde end index for k in domain |
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| 91 | !-- ims start index for i in memory |
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| 92 | !-- ime end index for i in memory |
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| 93 | !-- jms start index for j in memory |
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| 94 | !-- jme end index for j in memory |
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| 95 | !-- kms start index for k in memory |
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| 96 | !-- kme end index for k in memory |
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| 97 | !-- its start index for i in tile |
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| 98 | !-- ite end index for i in tile |
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| 99 | !-- jts start index for j in tile |
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| 100 | !-- jte end index for j in tile |
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| 101 | !-- kts start index for k in tile |
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| 102 | !-- kte end index for k in tile |
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| 103 | !------------------------------------------------------------------- |
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| 104 | ! |
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| 105 | integer,parameter :: ndiff = 3 |
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| 106 | real,parameter :: rcl = 1.0 |
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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,cp,g,rovcp,rovg,rd,xlv,rv |
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| 113 | ! |
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| 114 | real, intent(in ) :: ep1,ep2,karman |
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| 115 | ! |
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| 116 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 117 | intent(in ) :: qv3d, & |
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| 118 | qc3d, & |
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| 119 | qi3d, & |
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| 120 | p3d, & |
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| 121 | pi3d, & |
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| 122 | th3d, & |
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| 123 | t3d, & |
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| 124 | dz8w |
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| 125 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 126 | intent(in ) :: p3di |
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| 127 | ! |
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| 128 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 129 | intent(inout) :: rublten, & |
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| 130 | rvblten, & |
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| 131 | rthblten, & |
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| 132 | rqvblten, & |
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| 133 | rqcblten |
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| 134 | ! |
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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 | real, dimension( ims:ime, jms:jme ) , & |
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| 138 | intent(in ) :: u10, & |
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| 139 | v10 |
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| 140 | ! |
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| 141 | real, dimension( ims:ime, jms:jme ) , & |
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| 142 | intent(in ) :: xland, & |
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| 143 | hfx, & |
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| 144 | qfx, & |
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| 145 | br, & |
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| 146 | psfc |
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| 147 | real, dimension( ims:ime, jms:jme ) , & |
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| 148 | intent(in ) :: & |
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| 149 | psim, & |
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| 150 | psih, & |
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| 151 | gz1oz0 |
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| 152 | real, dimension( ims:ime, jms:jme ) , & |
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| 153 | intent(inout) :: znt, & |
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| 154 | ust, & |
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| 155 | hpbl, & |
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| 156 | wspd |
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| 157 | ! |
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| 158 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 159 | intent(in ) :: u3d, & |
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| 160 | v3d |
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| 161 | ! |
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| 162 | integer, dimension( ims:ime, jms:jme ) , & |
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| 163 | intent(out ) :: kpbl2d |
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| 164 | logical, intent(in) :: flag_qi |
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| 165 | !optional |
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| 166 | real, dimension( ims:ime, jms:jme ) , & |
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| 167 | optional , & |
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| 168 | intent(inout) :: regime |
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| 169 | ! |
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| 170 | real, dimension( ims:ime, kms:kme, jms:jme ) , & |
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| 171 | optional , & |
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| 172 | intent(inout) :: rqiblten |
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| 173 | ! |
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| 174 | real, dimension( kms:kme ) , & |
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| 175 | optional , & |
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| 176 | intent(in ) :: znu, & |
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| 177 | znw |
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| 178 | ! |
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| 179 | real, dimension( ims:ime, jms:jme ) , & |
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| 180 | optional , & |
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| 181 | intent(in ) :: mut |
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| 182 | ! |
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| 183 | real, optional, intent(in ) :: p_top |
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| 184 | ! |
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| 185 | !local |
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| 186 | integer :: i,j,k |
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| 187 | real, dimension( its:ite, kts:kte*ndiff ) :: rqvbl2dt, & |
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| 188 | qv2d |
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| 189 | real, dimension( its:ite, kts:kte ) :: pdh |
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| 190 | real, dimension( its:ite, kts:kte+1 ) :: pdhi |
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| 191 | real, dimension( its:ite ) :: & |
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| 192 | dusfc, & |
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| 193 | dvsfc, & |
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| 194 | dtsfc, & |
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| 195 | dqsfc |
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| 196 | ! |
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| 197 | qv2d(:,:) = 0.0 |
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| 198 | do j = jts,jte |
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| 199 | if(present(mut))then |
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| 200 | ! For ARW we will replace p and p8w with dry hydrostatic pressure |
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| 201 | do k = kts,kte+1 |
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| 202 | do i = its,ite |
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| 203 | if(k.le.kte)pdh(i,k) = mut(i,j)*znu(k) + p_top |
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| 204 | pdhi(i,k) = mut(i,j)*znw(k) + p_top |
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| 205 | enddo |
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| 206 | enddo |
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| 207 | else |
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| 208 | do k = kts,kte+1 |
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| 209 | do i = its,ite |
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| 210 | if(k.le.kte)pdh(i,k) = p3d(i,k,j) |
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| 211 | pdhi(i,k) = p3di(i,k,j) |
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| 212 | enddo |
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| 213 | enddo |
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| 214 | endif |
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| 215 | do k = kts,kte |
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| 216 | do i = its,ite |
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| 217 | qv2d(i,k) = qv3d(i,k,j) |
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| 218 | qv2d(i,k+kte) = qc3d(i,k,j) |
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| 219 | if(present(rqiblten)) qv2d(i,k+kte+kte) = qi3d(i,k,j) |
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| 220 | enddo |
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| 221 | enddo |
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| 222 | ! |
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| 223 | call ysu2d(J=j,ux=u3d(ims,kms,j),vx=v3d(ims,kms,j) & |
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| 224 | ,tx=t3d(ims,kms,j) & |
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| 225 | ,qx=qv2d(its,kts) & |
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| 226 | ,p2d=pdh(its,kts),p2di=pdhi(its,kts) & |
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| 227 | ,pi2d=pi3d(ims,kms,j) & |
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| 228 | ,utnp=rublten(ims,kms,j),vtnp=rvblten(ims,kms,j) & |
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| 229 | ,ttnp=rthblten(ims,kms,j),qtnp=rqvbl2dt(its,kts),ndiff=ndiff & |
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| 230 | ,cp=cp,g=g,rovcp=rovcp,rd=rd,rovg=rovg & |
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| 231 | ,xlv=xlv,rv=rv & |
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| 232 | ,ep1=ep1,ep2=ep2,karman=karman & |
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| 233 | ,dz8w2d=dz8w(ims,kms,j) & |
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| 234 | ,psfcpa=psfc(ims,j),znt=znt(ims,j),ust=ust(ims,j) & |
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| 235 | ,hpbl=hpbl(ims,j) & |
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| 236 | ,regime=regime(ims,j),psim=psim(ims,j) & |
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| 237 | ,psih=psih(ims,j),xland=xland(ims,j) & |
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| 238 | ,hfx=hfx(ims,j),qfx=qfx(ims,j) & |
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| 239 | ,wspd=wspd(ims,j),br=br(ims,j) & |
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| 240 | ,dusfc=dusfc,dvsfc=dvsfc,dtsfc=dtsfc,dqsfc=dqsfc & |
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| 241 | ,dt=dt,rcl=1.0,kpbl1d=kpbl2d(ims,j) & |
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| 242 | ,exch_hx=exch_h(ims,kms,j) & |
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| 243 | ,u10=u10(ims,j),v10=v10(ims,j) & |
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| 244 | ,gz1oz0=gz1oz0(ims,j) & |
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| 245 | ,ids=ids,ide=ide, jds=jds,jde=jde, kds=kds,kde=kde & |
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| 246 | ,ims=ims,ime=ime, jms=jms,jme=jme, kms=kms,kme=kme & |
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| 247 | ,its=its,ite=ite, jts=jts,jte=jte, kts=kts,kte=kte ) |
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| 248 | ! |
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| 249 | do k = kts,kte |
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| 250 | do i = its,ite |
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| 251 | rthblten(i,k,j) = rthblten(i,k,j)/pi3d(i,k,j) |
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| 252 | rqvblten(i,k,j) = rqvbl2dt(i,k) |
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| 253 | rqcblten(i,k,j) = rqvbl2dt(i,k+kte) |
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| 254 | if(present(rqiblten)) rqiblten(i,k,j) = rqvbl2dt(i,k+kte+kte) |
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| 255 | enddo |
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| 256 | enddo |
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| 257 | enddo |
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| 258 | ! |
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| 259 | end subroutine ysu |
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| 260 | ! |
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| 261 | !------------------------------------------------------------------- |
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| 262 | ! |
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| 263 | subroutine ysu2d(j,ux,vx,tx,qx,p2d,p2di,pi2d, & |
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| 264 | utnp,vtnp,ttnp,qtnp,ndiff, & |
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| 265 | cp,g,rovcp,rd,rovg,ep1,ep2,karman,xlv,rv, & |
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| 266 | dz8w2d,psfcpa, & |
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| 267 | znt,ust,hpbl,psim,psih, & |
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| 268 | xland,hfx,qfx,wspd,br, & |
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| 269 | dusfc,dvsfc,dtsfc,dqsfc, & |
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| 270 | dt,rcl,kpbl1d, & |
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| 271 | exch_hx, & |
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| 272 | u10,v10, & |
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| 273 | gz1oz0, & |
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| 274 | ids,ide, jds,jde, kds,kde, & |
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| 275 | ims,ime, jms,jme, kms,kme, & |
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| 276 | its,ite, jts,jte, kts,kte, & |
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| 277 | !optional |
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| 278 | regime ) |
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| 279 | !------------------------------------------------------------------- |
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| 280 | implicit none |
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| 281 | !------------------------------------------------------------------- |
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| 282 | ! |
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| 283 | ! this code is a revised vertical diffusion package ("ysupbl") |
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| 284 | ! with a nonlocal turbulent mixing in the pbl after "mrfpbl". |
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| 285 | ! the ysupbl (hong et al. 2006) is based on the study of noh |
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| 286 | ! et al.(2003) and accumulated realism of the behavior of the |
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| 287 | ! troen and mahrt (1986) concept implemented by hong and pan(1996). |
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| 288 | ! the major ingredient of the ysupbl is the inclusion of an explicit |
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| 289 | ! treatment of the entrainment processes at the entrainment layer. |
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| 290 | ! this routine uses an implicit approach for vertical flux |
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| 291 | ! divergence and does not require "miter" timesteps. |
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| 292 | ! it includes vertical diffusion in the stable atmosphere |
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| 293 | ! and moist vertical diffusion in clouds. |
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| 294 | ! |
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| 295 | ! mrfpbl: |
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| 296 | ! coded by song-you hong (ncep), implemented by jimy dudhia (ncar) |
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| 297 | ! fall 1996 |
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| 298 | ! |
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| 299 | ! ysupbl: |
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| 300 | ! coded by song-you hong (yonsei university) and implemented by |
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| 301 | ! song-you hong (yonsei university) and jimy dudhia (ncar) |
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| 302 | ! summer 2002 |
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| 303 | ! |
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| 304 | ! further modifications : |
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| 305 | ! an enhanced stable layer mixing, april 2008 |
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| 306 | ! ==> increase pbl height when sfc is stable (hong 2010) |
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| 307 | ! pressure-level diffusion, april 2009 |
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| 308 | ! ==> negligible differences |
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| 309 | ! implicit forcing for momentum with clean up, july 2009 |
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| 310 | ! ==> prevents model blowup when sfc layer is too low |
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| 311 | ! increase of lamda, 30 < 0.1 x del z < 300, feb 2010 |
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| 312 | ! ==> prevents model blowup when delz is extremely large |
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| 313 | ! revised prandtl number at surface, peggy lemone, feb 2010 |
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| 314 | ! ==> increase kh, decrease mixing due to counter-gradient term |
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| 315 | ! |
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| 316 | ! references: |
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| 317 | ! |
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| 318 | ! hong (2010) quart. j. roy. met. soc |
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| 319 | ! hong, noh, and dudhia (2006), mon. wea. rev. |
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| 320 | ! hong and pan (1996), mon. wea. rev. |
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| 321 | ! noh, chun, hong, and raasch (2003), boundary layer met. |
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| 322 | ! troen and mahrt (1986), boundary layer met. |
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| 323 | ! |
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| 324 | !------------------------------------------------------------------- |
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| 325 | ! |
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| 326 | real,parameter :: xkzmin = 0.01,xkzmax = 1000.,rimin = -100. |
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| 327 | real,parameter :: rlam = 30.,prmin = 0.25,prmax = 4. |
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| 328 | real,parameter :: brcr_ub = 0.0,brcr_sb = 0.25,cori = 1.e-4 |
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| 329 | real,parameter :: afac = 6.8,bfac = 6.8,pfac = 2.0,pfac_q = 2.0 |
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| 330 | real,parameter :: phifac = 8.,sfcfrac = 0.1 |
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| 331 | real,parameter :: d1 = 0.02, d2 = 0.05, d3 = 0.001 |
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| 332 | real,parameter :: h1 = 0.33333335, h2 = 0.6666667 |
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| 333 | real,parameter :: ckz = 0.001,zfmin = 1.e-8,aphi5 = 5.,aphi16 = 16. |
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| 334 | real,parameter :: tmin=1.e-2 |
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| 335 | real,parameter :: gamcrt = 3.,gamcrq = 2.e-3 |
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| 336 | real,parameter :: xka = 2.4e-5 |
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| 337 | integer,parameter :: imvdif = 1 |
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| 338 | ! |
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| 339 | integer, intent(in ) :: ids,ide, jds,jde, kds,kde, & |
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| 340 | ims,ime, jms,jme, kms,kme, & |
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| 341 | its,ite, jts,jte, kts,kte, & |
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| 342 | j,ndiff |
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| 343 | ! |
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| 344 | real, intent(in ) :: dt,rcl,cp,g,rovcp,rovg,rd,xlv,rv |
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| 345 | ! |
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| 346 | real, intent(in ) :: ep1,ep2,karman |
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| 347 | ! |
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| 348 | real, dimension( ims:ime, kms:kme ), & |
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| 349 | intent(in) :: dz8w2d, & |
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| 350 | pi2d |
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| 351 | ! |
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| 352 | real, dimension( ims:ime, kms:kme ) , & |
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| 353 | intent(in ) :: tx |
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| 354 | real, dimension( its:ite, kts:kte*ndiff ) , & |
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| 355 | intent(in ) :: qx |
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| 356 | ! |
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| 357 | real, dimension( ims:ime, kms:kme ) , & |
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| 358 | intent(inout) :: utnp, & |
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| 359 | vtnp, & |
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| 360 | ttnp |
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| 361 | real, dimension( its:ite, kts:kte*ndiff ) , & |
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| 362 | intent(inout) :: qtnp |
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| 363 | ! |
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| 364 | real, dimension( its:ite, kts:kte+1 ) , & |
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| 365 | intent(in ) :: p2di |
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| 366 | ! |
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| 367 | real, dimension( its:ite, kts:kte ) , & |
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| 368 | intent(in ) :: p2d |
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| 369 | ! |
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| 370 | ! |
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| 371 | real, dimension( ims:ime ) , & |
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| 372 | intent(inout) :: ust, & |
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| 373 | hpbl, & |
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| 374 | znt |
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| 375 | real, dimension( ims:ime ) , & |
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| 376 | intent(in ) :: xland, & |
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| 377 | hfx, & |
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| 378 | qfx |
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| 379 | ! |
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| 380 | real, dimension( ims:ime ), intent(inout) :: wspd |
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| 381 | real, dimension( ims:ime ), intent(in ) :: br |
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| 382 | ! |
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| 383 | real, dimension( ims:ime ), intent(in ) :: psim, & |
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| 384 | psih |
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| 385 | real, dimension( ims:ime ), intent(in ) :: gz1oz0 |
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| 386 | ! |
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| 387 | real, dimension( ims:ime ), intent(in ) :: psfcpa |
|---|
| 388 | integer, dimension( ims:ime ), intent(out ) :: kpbl1d |
|---|
| 389 | ! |
|---|
| 390 | real, dimension( ims:ime, kms:kme ) , & |
|---|
| 391 | intent(in ) :: ux, & |
|---|
| 392 | vx |
|---|
| 393 | !optional |
|---|
| 394 | real, dimension( ims:ime ) , & |
|---|
| 395 | optional , & |
|---|
| 396 | intent(inout) :: regime |
|---|
| 397 | ! |
|---|
| 398 | ! local vars |
|---|
| 399 | ! |
|---|
| 400 | real, dimension( its:ite ) :: hol |
|---|
| 401 | real, dimension( its:ite, kts:kte+1 ) :: zq |
|---|
| 402 | ! |
|---|
| 403 | real, dimension( its:ite, kts:kte ) :: & |
|---|
| 404 | thx,thvx, & |
|---|
| 405 | del, & |
|---|
| 406 | dza, & |
|---|
| 407 | dzq, & |
|---|
| 408 | za |
|---|
| 409 | ! |
|---|
| 410 | real, dimension( its:ite ) :: & |
|---|
| 411 | rhox, & |
|---|
| 412 | govrth, & |
|---|
| 413 | zl1,thermal, & |
|---|
| 414 | wscale,hgamt, & |
|---|
| 415 | hgamq,brdn, & |
|---|
| 416 | brup,phim, & |
|---|
| 417 | phih, & |
|---|
| 418 | dusfc,dvsfc, & |
|---|
| 419 | dtsfc,dqsfc, & |
|---|
| 420 | prpbl, & |
|---|
| 421 | wspd1 |
|---|
| 422 | ! |
|---|
| 423 | real, dimension( its:ite, kts:kte ) :: xkzm,xkzh, & |
|---|
| 424 | f1,f2, & |
|---|
| 425 | r1,r2, & |
|---|
| 426 | ad,au, & |
|---|
| 427 | cu, & |
|---|
| 428 | al, & |
|---|
| 429 | xkzq, & |
|---|
| 430 | zfac |
|---|
| 431 | ! |
|---|
| 432 | !jdf added exch_hx |
|---|
| 433 | real, dimension( ims:ime, kms:kme ) , & |
|---|
| 434 | intent(inout) :: exch_hx |
|---|
| 435 | ! |
|---|
| 436 | real, dimension( ims:ime ) , & |
|---|
| 437 | intent(in ) :: u10, & |
|---|
| 438 | v10 |
|---|
| 439 | real, dimension( its:ite ) :: & |
|---|
| 440 | brcr, & |
|---|
| 441 | sflux, & |
|---|
| 442 | brcr_sbro |
|---|
| 443 | ! |
|---|
| 444 | real, dimension( its:ite, kts:kte, ndiff) :: r3,f3 |
|---|
| 445 | integer, dimension( its:ite ) :: kpbl |
|---|
| 446 | ! |
|---|
| 447 | logical, dimension( its:ite ) :: pblflg, & |
|---|
| 448 | sfcflg, & |
|---|
| 449 | stable |
|---|
| 450 | ! |
|---|
| 451 | integer :: n,i,k,l,ic,is |
|---|
| 452 | integer :: klpbl, ktrace1, ktrace2, ktrace3 |
|---|
| 453 | ! |
|---|
| 454 | ! |
|---|
| 455 | real :: dt2,rdt,spdk2,fm,fh,hol1,gamfac,vpert,prnum,prnum0 |
|---|
| 456 | real :: xkzo,ss,ri,qmean,tmean,alph,chi,zk,rl2,dk,sri |
|---|
| 457 | real :: brint,dtodsd,dtodsu,rdz,dsdzt,dsdzq,dsdz2,rlamdz |
|---|
| 458 | real :: utend,vtend,ttend,qtend |
|---|
| 459 | real :: dtstep,govrthv |
|---|
| 460 | real :: cont, conq, conw, conwrc |
|---|
| 461 | ! |
|---|
| 462 | real, dimension( its:ite, kts:kte ) :: wscalek, & |
|---|
| 463 | xkzml,xkzhl, & |
|---|
| 464 | zfacent,entfac |
|---|
| 465 | real, dimension( its:ite ) :: ust3, & |
|---|
| 466 | wstar3,wstar, & |
|---|
| 467 | hgamu,hgamv, & |
|---|
| 468 | wm2, we, & |
|---|
| 469 | bfxpbl, & |
|---|
| 470 | hfxpbl,qfxpbl, & |
|---|
| 471 | ufxpbl,vfxpbl, & |
|---|
| 472 | delta,dthvx |
|---|
| 473 | real :: prnumfac,bfx0,hfx0,qfx0,delb,dux,dvx, & |
|---|
| 474 | dsdzu,dsdzv,wm3,dthx,dqx,wspd10,ross,tem1,dsig,tvcon,conpr, & |
|---|
| 475 | prfac,phim8z |
|---|
| 476 | ! |
|---|
| 477 | !---------------------------------------------------------------------- |
|---|
| 478 | ! |
|---|
| 479 | klpbl = kte |
|---|
| 480 | ! |
|---|
| 481 | cont=cp/g |
|---|
| 482 | conq=xlv/g |
|---|
| 483 | conw=1./g |
|---|
| 484 | conwrc = conw*sqrt(rcl) |
|---|
| 485 | conpr = bfac*karman*sfcfrac |
|---|
| 486 | ! |
|---|
| 487 | ! k-start index for tracer diffusion |
|---|
| 488 | ! |
|---|
| 489 | ktrace1 = 0 |
|---|
| 490 | ktrace2 = 0 + kte |
|---|
| 491 | ktrace3 = 0 + kte*2 |
|---|
| 492 | ! |
|---|
| 493 | do k = kts,kte |
|---|
| 494 | do i = its,ite |
|---|
| 495 | thx(i,k) = tx(i,k)/pi2d(i,k) |
|---|
| 496 | enddo |
|---|
| 497 | enddo |
|---|
| 498 | ! |
|---|
| 499 | do k = kts,kte |
|---|
| 500 | do i = its,ite |
|---|
| 501 | tvcon = (1.+ep1*qx(i,k)) |
|---|
| 502 | thvx(i,k) = thx(i,k)*tvcon |
|---|
| 503 | enddo |
|---|
| 504 | enddo |
|---|
| 505 | ! |
|---|
| 506 | do i = its,ite |
|---|
| 507 | tvcon = (1.+ep1*qx(i,1)) |
|---|
| 508 | rhox(i) = psfcpa(i)/(rd*tx(i,1)*tvcon) |
|---|
| 509 | govrth(i) = g/thx(i,1) |
|---|
| 510 | enddo |
|---|
| 511 | ! |
|---|
| 512 | !-----compute the height of full- and half-sigma levels above ground |
|---|
| 513 | ! level, and the layer thicknesses. |
|---|
| 514 | ! |
|---|
| 515 | do i = its,ite |
|---|
| 516 | zq(i,1) = 0. |
|---|
| 517 | enddo |
|---|
| 518 | ! |
|---|
| 519 | do k = kts,kte |
|---|
| 520 | do i = its,ite |
|---|
| 521 | zq(i,k+1) = dz8w2d(i,k)+zq(i,k) |
|---|
| 522 | enddo |
|---|
| 523 | enddo |
|---|
| 524 | ! |
|---|
| 525 | do k = kts,kte |
|---|
| 526 | do i = its,ite |
|---|
| 527 | za(i,k) = 0.5*(zq(i,k)+zq(i,k+1)) |
|---|
| 528 | dzq(i,k) = zq(i,k+1)-zq(i,k) |
|---|
| 529 | del(i,k) = p2di(i,k)-p2di(i,k+1) |
|---|
| 530 | enddo |
|---|
| 531 | enddo |
|---|
| 532 | ! |
|---|
| 533 | do i = its,ite |
|---|
| 534 | dza(i,1) = za(i,1) |
|---|
| 535 | enddo |
|---|
| 536 | ! |
|---|
| 537 | do k = kts+1,kte |
|---|
| 538 | do i = its,ite |
|---|
| 539 | dza(i,k) = za(i,k)-za(i,k-1) |
|---|
| 540 | enddo |
|---|
| 541 | enddo |
|---|
| 542 | ! |
|---|
| 543 | ! |
|---|
| 544 | !-----initialize vertical tendencies and |
|---|
| 545 | ! |
|---|
| 546 | utnp(:,:) = 0. |
|---|
| 547 | vtnp(:,:) = 0. |
|---|
| 548 | ttnp(:,:) = 0. |
|---|
| 549 | qtnp(:,:) = 0. |
|---|
| 550 | ! |
|---|
| 551 | do i = its,ite |
|---|
| 552 | wspd1(i) = sqrt(ux(i,1)*ux(i,1)+vx(i,1)*vx(i,1))+1.e-9 |
|---|
| 553 | enddo |
|---|
| 554 | ! |
|---|
| 555 | !---- compute vertical diffusion |
|---|
| 556 | ! |
|---|
| 557 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
|---|
| 558 | ! compute preliminary variables |
|---|
| 559 | ! |
|---|
| 560 | dtstep = dt |
|---|
| 561 | dt2 = 2.*dtstep |
|---|
| 562 | rdt = 1./dt2 |
|---|
| 563 | ! |
|---|
| 564 | do i = its,ite |
|---|
| 565 | bfxpbl(i) = 0.0 |
|---|
| 566 | hfxpbl(i) = 0.0 |
|---|
| 567 | qfxpbl(i) = 0.0 |
|---|
| 568 | ufxpbl(i) = 0.0 |
|---|
| 569 | vfxpbl(i) = 0.0 |
|---|
| 570 | hgamu(i) = 0.0 |
|---|
| 571 | hgamv(i) = 0.0 |
|---|
| 572 | delta(i) = 0.0 |
|---|
| 573 | enddo |
|---|
| 574 | ! |
|---|
| 575 | do k = kts,klpbl |
|---|
| 576 | do i = its,ite |
|---|
| 577 | wscalek(i,k) = 0.0 |
|---|
| 578 | enddo |
|---|
| 579 | enddo |
|---|
| 580 | ! |
|---|
| 581 | do k = kts,klpbl |
|---|
| 582 | do i = its,ite |
|---|
| 583 | zfac(i,k) = 0.0 |
|---|
| 584 | enddo |
|---|
| 585 | enddo |
|---|
| 586 | ! |
|---|
| 587 | do i = its,ite |
|---|
| 588 | dusfc(i) = 0. |
|---|
| 589 | dvsfc(i) = 0. |
|---|
| 590 | dtsfc(i) = 0. |
|---|
| 591 | dqsfc(i) = 0. |
|---|
| 592 | enddo |
|---|
| 593 | ! |
|---|
| 594 | do i = its,ite |
|---|
| 595 | hgamt(i) = 0. |
|---|
| 596 | hgamq(i) = 0. |
|---|
| 597 | wscale(i) = 0. |
|---|
| 598 | kpbl(i) = 1 |
|---|
| 599 | hpbl(i) = zq(i,1) |
|---|
| 600 | zl1(i) = za(i,1) |
|---|
| 601 | thermal(i)= thvx(i,1) |
|---|
| 602 | pblflg(i) = .true. |
|---|
| 603 | sfcflg(i) = .true. |
|---|
| 604 | sflux(i) = hfx(i)/rhox(i)/cp + qfx(i)/rhox(i)*ep1*thx(i,1) |
|---|
| 605 | if(br(i).gt.0.0) sfcflg(i) = .false. |
|---|
| 606 | enddo |
|---|
| 607 | ! |
|---|
| 608 | ! compute the first guess of pbl height |
|---|
| 609 | ! |
|---|
| 610 | do i = its,ite |
|---|
| 611 | stable(i) = .false. |
|---|
| 612 | brup(i) = br(i) |
|---|
| 613 | brcr(i) = brcr_ub |
|---|
| 614 | enddo |
|---|
| 615 | ! |
|---|
| 616 | do k = 2,klpbl |
|---|
| 617 | do i = its,ite |
|---|
| 618 | if(.not.stable(i))then |
|---|
| 619 | brdn(i) = brup(i) |
|---|
| 620 | spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.) |
|---|
| 621 | brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2 |
|---|
| 622 | kpbl(i) = k |
|---|
| 623 | stable(i) = brup(i).gt.brcr(i) |
|---|
| 624 | endif |
|---|
| 625 | enddo |
|---|
| 626 | enddo |
|---|
| 627 | ! |
|---|
| 628 | do i = its,ite |
|---|
| 629 | k = kpbl(i) |
|---|
| 630 | if(brdn(i).ge.brcr(i))then |
|---|
| 631 | brint = 0. |
|---|
| 632 | elseif(brup(i).le.brcr(i))then |
|---|
| 633 | brint = 1. |
|---|
| 634 | else |
|---|
| 635 | brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i)) |
|---|
| 636 | endif |
|---|
| 637 | hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1)) |
|---|
| 638 | if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1 |
|---|
| 639 | if(kpbl(i).le.1) pblflg(i) = .false. |
|---|
| 640 | enddo |
|---|
| 641 | ! |
|---|
| 642 | do i = its,ite |
|---|
| 643 | fm = gz1oz0(i)-psim(i) |
|---|
| 644 | fh = gz1oz0(i)-psih(i) |
|---|
| 645 | hol(i) = max(br(i)*fm*fm/fh,rimin) |
|---|
| 646 | if(sfcflg(i))then |
|---|
| 647 | hol(i) = min(hol(i),-zfmin) |
|---|
| 648 | else |
|---|
| 649 | hol(i) = max(hol(i),zfmin) |
|---|
| 650 | endif |
|---|
| 651 | hol1 = hol(i)*hpbl(i)/zl1(i)*sfcfrac |
|---|
| 652 | hol(i) = -hol(i)*hpbl(i)/zl1(i) |
|---|
| 653 | if(sfcflg(i))then |
|---|
| 654 | phim(i) = (1.-aphi16*hol1)**(-1./4.) |
|---|
| 655 | phih(i) = (1.-aphi16*hol1)**(-1./2.) |
|---|
| 656 | bfx0 = max(sflux(i),0.) |
|---|
| 657 | hfx0 = max(hfx(i)/rhox(i)/cp,0.) |
|---|
| 658 | qfx0 = max(ep1*thx(i,1)*qfx(i)/rhox(i),0.) |
|---|
| 659 | wstar3(i) = (govrth(i)*bfx0*hpbl(i)) |
|---|
| 660 | wstar(i) = (wstar3(i))**h1 |
|---|
| 661 | else |
|---|
| 662 | phim(i) = (1.+aphi5*hol1) |
|---|
| 663 | phih(i) = phim(i) |
|---|
| 664 | wstar(i) = 0. |
|---|
| 665 | wstar3(i) = 0. |
|---|
| 666 | endif |
|---|
| 667 | ust3(i) = ust(i)**3. |
|---|
| 668 | wscale(i) = (ust3(i)+phifac*karman*wstar3(i)*0.5)**h1 |
|---|
| 669 | wscale(i) = min(wscale(i),ust(i)*aphi16) |
|---|
| 670 | wscale(i) = max(wscale(i),ust(i)/aphi5) |
|---|
| 671 | enddo |
|---|
| 672 | ! |
|---|
| 673 | ! compute the surface variables for pbl height estimation |
|---|
| 674 | ! under unstable conditions |
|---|
| 675 | ! |
|---|
| 676 | do i = its,ite |
|---|
| 677 | if(sfcflg(i).and.sflux(i).gt.0.0)then |
|---|
| 678 | gamfac = bfac/rhox(i)/wscale(i) |
|---|
| 679 | hgamt(i) = min(gamfac*hfx(i)/cp,gamcrt) |
|---|
| 680 | hgamq(i) = min(gamfac*qfx(i),gamcrq) |
|---|
| 681 | vpert = (hgamt(i)+ep1*thx(i,1)*hgamq(i))/bfac*afac |
|---|
| 682 | thermal(i) = thermal(i)+max(vpert,0.) |
|---|
| 683 | hgamt(i) = max(hgamt(i),0.0) |
|---|
| 684 | hgamq(i) = max(hgamq(i),0.0) |
|---|
| 685 | brint = -15.9*ust(i)*ust(i)/wspd(i)*wstar3(i)/(wscale(i)**4.) |
|---|
| 686 | hgamu(i) = brint*ux(i,1) |
|---|
| 687 | hgamv(i) = brint*vx(i,1) |
|---|
| 688 | else |
|---|
| 689 | pblflg(i) = .false. |
|---|
| 690 | endif |
|---|
| 691 | enddo |
|---|
| 692 | ! |
|---|
| 693 | ! enhance the pbl height by considering the thermal |
|---|
| 694 | ! |
|---|
| 695 | do i = its,ite |
|---|
| 696 | if(pblflg(i))then |
|---|
| 697 | kpbl(i) = 1 |
|---|
| 698 | hpbl(i) = zq(i,1) |
|---|
| 699 | endif |
|---|
| 700 | enddo |
|---|
| 701 | ! |
|---|
| 702 | do i = its,ite |
|---|
| 703 | if(pblflg(i))then |
|---|
| 704 | stable(i) = .false. |
|---|
| 705 | brup(i) = br(i) |
|---|
| 706 | brcr(i) = brcr_ub |
|---|
| 707 | endif |
|---|
| 708 | enddo |
|---|
| 709 | ! |
|---|
| 710 | do k = 2,klpbl |
|---|
| 711 | do i = its,ite |
|---|
| 712 | if(.not.stable(i).and.pblflg(i))then |
|---|
| 713 | brdn(i) = brup(i) |
|---|
| 714 | spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.) |
|---|
| 715 | brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2 |
|---|
| 716 | kpbl(i) = k |
|---|
| 717 | stable(i) = brup(i).gt.brcr(i) |
|---|
| 718 | endif |
|---|
| 719 | enddo |
|---|
| 720 | enddo |
|---|
| 721 | ! |
|---|
| 722 | do i = its,ite |
|---|
| 723 | if(pblflg(i)) then |
|---|
| 724 | k = kpbl(i) |
|---|
| 725 | if(brdn(i).ge.brcr(i))then |
|---|
| 726 | brint = 0. |
|---|
| 727 | elseif(brup(i).le.brcr(i))then |
|---|
| 728 | brint = 1. |
|---|
| 729 | else |
|---|
| 730 | brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i)) |
|---|
| 731 | endif |
|---|
| 732 | hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1)) |
|---|
| 733 | if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1 |
|---|
| 734 | if(kpbl(i).le.1) pblflg(i) = .false. |
|---|
| 735 | endif |
|---|
| 736 | enddo |
|---|
| 737 | ! |
|---|
| 738 | ! stable boundary layer |
|---|
| 739 | ! |
|---|
| 740 | do i = its,ite |
|---|
| 741 | if((.not.sfcflg(i)).and.hpbl(i).lt.zq(i,2)) then |
|---|
| 742 | brup(i) = br(i) |
|---|
| 743 | stable(i) = .false. |
|---|
| 744 | else |
|---|
| 745 | stable(i) = .true. |
|---|
| 746 | endif |
|---|
| 747 | enddo |
|---|
| 748 | ! |
|---|
| 749 | do i = its,ite |
|---|
| 750 | if((.not.stable(i)).and.((xland(i)-1.5).ge.0))then |
|---|
| 751 | wspd10 = u10(i)*u10(i) + v10(i)*v10(i) |
|---|
| 752 | wspd10 = sqrt(wspd10) |
|---|
| 753 | ross = wspd10 / (cori*znt(i)) |
|---|
| 754 | brcr_sbro(i) = min(0.16*(1.e-7*ross)**(-0.18),.3) |
|---|
| 755 | endif |
|---|
| 756 | enddo |
|---|
| 757 | ! |
|---|
| 758 | do i = its,ite |
|---|
| 759 | if(.not.stable(i))then |
|---|
| 760 | if((xland(i)-1.5).ge.0)then |
|---|
| 761 | brcr(i) = brcr_sbro(i) |
|---|
| 762 | else |
|---|
| 763 | brcr(i) = brcr_sb |
|---|
| 764 | endif |
|---|
| 765 | endif |
|---|
| 766 | enddo |
|---|
| 767 | do k = 2,klpbl |
|---|
| 768 | do i = its,ite |
|---|
| 769 | if(.not.stable(i))then |
|---|
| 770 | brdn(i) = brup(i) |
|---|
| 771 | spdk2 = max(ux(i,k)**2+vx(i,k)**2,1.) |
|---|
| 772 | brup(i) = (thvx(i,k)-thermal(i))*(g*za(i,k)/thvx(i,1))/spdk2 |
|---|
| 773 | kpbl(i) = k |
|---|
| 774 | stable(i) = brup(i).gt.brcr(i) |
|---|
| 775 | endif |
|---|
| 776 | enddo |
|---|
| 777 | enddo |
|---|
| 778 | ! |
|---|
| 779 | do i = its,ite |
|---|
| 780 | if((.not.sfcflg(i)).and.hpbl(i).lt.zq(i,2)) then |
|---|
| 781 | k = kpbl(i) |
|---|
| 782 | if(brdn(i).ge.brcr(i))then |
|---|
| 783 | brint = 0. |
|---|
| 784 | elseif(brup(i).le.brcr(i))then |
|---|
| 785 | brint = 1. |
|---|
| 786 | else |
|---|
| 787 | brint = (brcr(i)-brdn(i))/(brup(i)-brdn(i)) |
|---|
| 788 | endif |
|---|
| 789 | hpbl(i) = za(i,k-1)+brint*(za(i,k)-za(i,k-1)) |
|---|
| 790 | if(hpbl(i).lt.zq(i,2)) kpbl(i) = 1 |
|---|
| 791 | if(kpbl(i).le.1) pblflg(i) = .false. |
|---|
| 792 | endif |
|---|
| 793 | enddo |
|---|
| 794 | ! |
|---|
| 795 | ! estimate the entrainment parameters |
|---|
| 796 | ! |
|---|
| 797 | do i = its,ite |
|---|
| 798 | if(pblflg(i)) then |
|---|
| 799 | k = kpbl(i) - 1 |
|---|
| 800 | prpbl(i) = 1.0 |
|---|
| 801 | wm3 = wstar3(i) + 5. * ust3(i) |
|---|
| 802 | wm2(i) = wm3**h2 |
|---|
| 803 | bfxpbl(i) = -0.15*thvx(i,1)/g*wm3/hpbl(i) |
|---|
| 804 | dthvx(i) = max(thvx(i,k+1)-thvx(i,k),tmin) |
|---|
| 805 | dthx = max(thx(i,k+1)-thx(i,k),tmin) |
|---|
| 806 | dqx = min(qx(i,k+1)-qx(i,k),0.0) |
|---|
| 807 | we(i) = max(bfxpbl(i)/dthvx(i),-sqrt(wm2(i))) |
|---|
| 808 | hfxpbl(i) = we(i)*dthx |
|---|
| 809 | qfxpbl(i) = we(i)*dqx |
|---|
| 810 | ! |
|---|
| 811 | dux = ux(i,k+1)-ux(i,k) |
|---|
| 812 | dvx = vx(i,k+1)-vx(i,k) |
|---|
| 813 | if(dux.gt.tmin) then |
|---|
| 814 | ufxpbl(i) = max(prpbl(i)*we(i)*dux,-ust(i)*ust(i)) |
|---|
| 815 | elseif(dux.lt.-tmin) then |
|---|
| 816 | ufxpbl(i) = min(prpbl(i)*we(i)*dux,ust(i)*ust(i)) |
|---|
| 817 | else |
|---|
| 818 | ufxpbl(i) = 0.0 |
|---|
| 819 | endif |
|---|
| 820 | if(dvx.gt.tmin) then |
|---|
| 821 | vfxpbl(i) = max(prpbl(i)*we(i)*dvx,-ust(i)*ust(i)) |
|---|
| 822 | elseif(dvx.lt.-tmin) then |
|---|
| 823 | vfxpbl(i) = min(prpbl(i)*we(i)*dvx,ust(i)*ust(i)) |
|---|
| 824 | else |
|---|
| 825 | vfxpbl(i) = 0.0 |
|---|
| 826 | endif |
|---|
| 827 | delb = govrth(i)*d3*hpbl(i) |
|---|
| 828 | delta(i) = min(d1*hpbl(i) + d2*wm2(i)/delb,100.) |
|---|
| 829 | endif |
|---|
| 830 | enddo |
|---|
| 831 | ! |
|---|
| 832 | do k = kts,klpbl |
|---|
| 833 | do i = its,ite |
|---|
| 834 | if(pblflg(i).and.k.ge.kpbl(i))then |
|---|
| 835 | entfac(i,k) = ((zq(i,k+1)-hpbl(i))/delta(i))**2. |
|---|
| 836 | else |
|---|
| 837 | entfac(i,k) = 1.e30 |
|---|
| 838 | endif |
|---|
| 839 | enddo |
|---|
| 840 | enddo |
|---|
| 841 | ! |
|---|
| 842 | ! compute diffusion coefficients below pbl |
|---|
| 843 | ! |
|---|
| 844 | do k = kts,klpbl |
|---|
| 845 | do i = its,ite |
|---|
| 846 | if(k.lt.kpbl(i)) then |
|---|
| 847 | zfac(i,k) = min(max((1.-(zq(i,k+1)-zl1(i))/(hpbl(i)-zl1(i))),zfmin),1.) |
|---|
| 848 | xkzo = ckz*dza(i,k+1) |
|---|
| 849 | zfacent(i,k) = (1.-zfac(i,k))**3. |
|---|
| 850 | wscalek(i,k) = (ust3(i)+phifac*karman*wstar3(i)*(1.-zfac(i,k)))**h1 |
|---|
| 851 | if(sfcflg(i)) then |
|---|
| 852 | prfac = conpr/phim(i)/((1.+4.*karman*wstar3(i)/ust3(i)))**h1 |
|---|
| 853 | prnumfac = -3.*(max(zq(i,k+1)-sfcfrac*hpbl(i),0.))**2./hpbl(i)**2. |
|---|
| 854 | else |
|---|
| 855 | prfac = 0. |
|---|
| 856 | prnumfac = 0. |
|---|
| 857 | phim8z = 1.+(phim(i)-1.)*zq(i,k+1)/sfcfrac/hpbl(i) |
|---|
| 858 | wscalek(i,k) = ust(i)/phim8z |
|---|
| 859 | wscalek(i,k) = max(wscalek(i,k),ust(i)/aphi5) |
|---|
| 860 | endif |
|---|
| 861 | prnum0 = (phih(i)/phim(i)+prfac) |
|---|
| 862 | prnum0 = min(prnum0,prmax) |
|---|
| 863 | prnum0 = max(prnum0,prmin) |
|---|
| 864 | xkzm(i,k) = xkzo+wscalek(i,k)*karman*zq(i,k+1)*zfac(i,k)**pfac |
|---|
| 865 | prnum = 1. + (prnum0-1.)*exp(prnumfac) |
|---|
| 866 | xkzq(i,k) = xkzm(i,k)/prnum*zfac(i,k)**(pfac_q-pfac) |
|---|
| 867 | prnum0 = prnum0/(1.+prfac) |
|---|
| 868 | prnum = 1. + (prnum0-1.)*exp(prnumfac) |
|---|
| 869 | xkzh(i,k) = xkzm(i,k)/prnum |
|---|
| 870 | xkzm(i,k) = min(xkzm(i,k),xkzmax) |
|---|
| 871 | xkzm(i,k) = max(xkzm(i,k),xkzmin) |
|---|
| 872 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 873 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 874 | xkzq(i,k) = min(xkzq(i,k),xkzmax) |
|---|
| 875 | xkzq(i,k) = max(xkzq(i,k),xkzmin) |
|---|
| 876 | endif |
|---|
| 877 | enddo |
|---|
| 878 | enddo |
|---|
| 879 | ! |
|---|
| 880 | ! compute diffusion coefficients over pbl (free atmosphere) |
|---|
| 881 | ! |
|---|
| 882 | do k = kts,kte-1 |
|---|
| 883 | do i = its,ite |
|---|
| 884 | xkzo = ckz*dza(i,k+1) |
|---|
| 885 | if(k.ge.kpbl(i)) then |
|---|
| 886 | ss = ((ux(i,k+1)-ux(i,k))*(ux(i,k+1)-ux(i,k)) & |
|---|
| 887 | +(vx(i,k+1)-vx(i,k))*(vx(i,k+1)-vx(i,k))) & |
|---|
| 888 | /(dza(i,k+1)*dza(i,k+1))+1.e-9 |
|---|
| 889 | govrthv = g/(0.5*(thvx(i,k+1)+thvx(i,k))) |
|---|
| 890 | ri = govrthv*(thvx(i,k+1)-thvx(i,k))/(ss*dza(i,k+1)) |
|---|
| 891 | if(imvdif.eq.1.and.ndiff.ge.3)then |
|---|
| 892 | if((qx(i,ktrace2+k)+qx(i,ktrace3+k)).gt.0.01e-3.and.(qx(i & |
|---|
| 893 | ,ktrace2+k+1)+qx(i,ktrace3+k+1)).gt.0.01e-3)then |
|---|
| 894 | ! in cloud |
|---|
| 895 | qmean = 0.5*(qx(i,k)+qx(i,k+1)) |
|---|
| 896 | tmean = 0.5*(tx(i,k)+tx(i,k+1)) |
|---|
| 897 | alph = xlv*qmean/rd/tmean |
|---|
| 898 | chi = xlv*xlv*qmean/cp/rv/tmean/tmean |
|---|
| 899 | ri = (1.+alph)*(ri-g*g/ss/tmean/cp*((chi-alph)/(1.+chi))) |
|---|
| 900 | endif |
|---|
| 901 | endif |
|---|
| 902 | zk = karman*zq(i,k+1) |
|---|
| 903 | rlamdz = min(max(0.1*dza(i,k+1),rlam),300.) |
|---|
| 904 | rl2 = (zk*rlamdz/(rlamdz+zk))**2 |
|---|
| 905 | dk = rl2*sqrt(ss) |
|---|
| 906 | if(ri.lt.0.)then |
|---|
| 907 | ! unstable regime |
|---|
| 908 | sri = sqrt(-ri) |
|---|
| 909 | xkzm(i,k) = xkzo+dk*(1+8.*(-ri)/(1+1.746*sri)) |
|---|
| 910 | xkzh(i,k) = xkzo+dk*(1+8.*(-ri)/(1+1.286*sri)) |
|---|
| 911 | else |
|---|
| 912 | ! stable regime |
|---|
| 913 | xkzh(i,k) = xkzo+dk/(1+5.*ri)**2 |
|---|
| 914 | prnum = 1.0+2.1*ri |
|---|
| 915 | prnum = min(prnum,prmax) |
|---|
| 916 | xkzm(i,k) = (xkzh(i,k)-xkzo)*prnum+xkzo |
|---|
| 917 | endif |
|---|
| 918 | ! |
|---|
| 919 | xkzm(i,k) = min(xkzm(i,k),xkzmax) |
|---|
| 920 | xkzm(i,k) = max(xkzm(i,k),xkzmin) |
|---|
| 921 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 922 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 923 | xkzml(i,k) = xkzm(i,k) |
|---|
| 924 | xkzhl(i,k) = xkzh(i,k) |
|---|
| 925 | endif |
|---|
| 926 | enddo |
|---|
| 927 | enddo |
|---|
| 928 | ! |
|---|
| 929 | ! compute tridiagonal matrix elements for heat |
|---|
| 930 | ! |
|---|
| 931 | do k = kts,kte |
|---|
| 932 | do i = its,ite |
|---|
| 933 | au(i,k) = 0. |
|---|
| 934 | al(i,k) = 0. |
|---|
| 935 | ad(i,k) = 0. |
|---|
| 936 | f1(i,k) = 0. |
|---|
| 937 | enddo |
|---|
| 938 | enddo |
|---|
| 939 | ! |
|---|
| 940 | do i = its,ite |
|---|
| 941 | ad(i,1) = 1. |
|---|
| 942 | f1(i,1) = thx(i,1)-300.+hfx(i)/cont/del(i,1)*dt2 |
|---|
| 943 | enddo |
|---|
| 944 | ! |
|---|
| 945 | do k = kts,kte-1 |
|---|
| 946 | do i = its,ite |
|---|
| 947 | dtodsd = dt2/del(i,k) |
|---|
| 948 | dtodsu = dt2/del(i,k+1) |
|---|
| 949 | dsig = p2d(i,k)-p2d(i,k+1) |
|---|
| 950 | rdz = 1./dza(i,k+1) |
|---|
| 951 | tem1 = dsig*xkzh(i,k)*rdz |
|---|
| 952 | if(pblflg(i).and.k.lt.kpbl(i)) then |
|---|
| 953 | dsdzt = tem1*(-hgamt(i)/hpbl(i)-hfxpbl(i)*zfacent(i,k)/xkzh(i,k)) |
|---|
| 954 | f1(i,k) = f1(i,k)+dtodsd*dsdzt |
|---|
| 955 | f1(i,k+1) = thx(i,k+1)-300.-dtodsu*dsdzt |
|---|
| 956 | elseif(pblflg(i).and.k.ge.kpbl(i).and.entfac(i,k).lt.4.6) then |
|---|
| 957 | xkzh(i,k) = -we(i)*dza(i,kpbl(i))*exp(-entfac(i,k)) |
|---|
| 958 | xkzh(i,k) = sqrt(xkzh(i,k)*xkzhl(i,k)) |
|---|
| 959 | xkzh(i,k) = min(xkzh(i,k),xkzmax) |
|---|
| 960 | xkzh(i,k) = max(xkzh(i,k),xkzmin) |
|---|
| 961 | f1(i,k+1) = thx(i,k+1)-300. |
|---|
| 962 | else |
|---|
| 963 | f1(i,k+1) = thx(i,k+1)-300. |
|---|
| 964 | endif |
|---|
| 965 | tem1 = dsig*xkzh(i,k)*rdz |
|---|
| 966 | dsdz2 = tem1*rdz |
|---|
| 967 | au(i,k) = -dtodsd*dsdz2 |
|---|
| 968 | al(i,k) = -dtodsu*dsdz2 |
|---|
| 969 | ad(i,k) = ad(i,k)-au(i,k) |
|---|
| 970 | ad(i,k+1) = 1.-al(i,k) |
|---|
| 971 | exch_hx(i,k+1) = xkzh(i,k) |
|---|
| 972 | enddo |
|---|
| 973 | enddo |
|---|
| 974 | ! |
|---|
| 975 | ! copies here to avoid duplicate input args for tridin |
|---|
| 976 | ! |
|---|
| 977 | do k = kts,kte |
|---|
| 978 | do i = its,ite |
|---|
| 979 | cu(i,k) = au(i,k) |
|---|
| 980 | r1(i,k) = f1(i,k) |
|---|
| 981 | enddo |
|---|
| 982 | enddo |
|---|
| 983 | ! |
|---|
| 984 | call tridin_ysu(al,ad,cu,r1,au,f1,its,ite,kts,kte,1) |
|---|
| 985 | ! |
|---|
| 986 | ! recover tendencies of heat |
|---|
| 987 | ! |
|---|
| 988 | do k = kte,kts,-1 |
|---|
| 989 | do i = its,ite |
|---|
| 990 | ttend = (f1(i,k)-thx(i,k)+300.)*rdt*pi2d(i,k) |
|---|
| 991 | ttnp(i,k) = ttnp(i,k)+ttend |
|---|
| 992 | dtsfc(i) = dtsfc(i)+ttend*cont*del(i,k)/pi2d(i,k) |
|---|
| 993 | enddo |
|---|
| 994 | enddo |
|---|
| 995 | ! |
|---|
| 996 | ! compute tridiagonal matrix elements for moisture, clouds, and tracers |
|---|
| 997 | ! |
|---|
| 998 | do k = kts,kte |
|---|
| 999 | do i = its,ite |
|---|
| 1000 | au(i,k) = 0. |
|---|
| 1001 | al(i,k) = 0. |
|---|
| 1002 | ad(i,k) = 0. |
|---|
| 1003 | enddo |
|---|
| 1004 | enddo |
|---|
| 1005 | ! |
|---|
| 1006 | do ic = 1,ndiff |
|---|
| 1007 | do i = its,ite |
|---|
| 1008 | do k = kts,kte |
|---|
| 1009 | f3(i,k,ic) = 0. |
|---|
| 1010 | enddo |
|---|
| 1011 | enddo |
|---|
| 1012 | enddo |
|---|
| 1013 | ! |
|---|
| 1014 | do i = its,ite |
|---|
| 1015 | ad(i,1) = 1. |
|---|
| 1016 | f3(i,1,1) = qx(i,1)+qfx(i)*g/del(i,1)*dt2 |
|---|
| 1017 | enddo |
|---|
| 1018 | ! |
|---|
| 1019 | if(ndiff.ge.2) then |
|---|
| 1020 | do ic = 2,ndiff |
|---|
| 1021 | is = (ic-1) * kte |
|---|
| 1022 | do i = its,ite |
|---|
| 1023 | f3(i,1,ic) = qx(i,1+is) |
|---|
| 1024 | enddo |
|---|
| 1025 | enddo |
|---|
| 1026 | endif |
|---|
| 1027 | ! |
|---|
| 1028 | do k = kts,kte |
|---|
| 1029 | do i = its,ite |
|---|
| 1030 | if(k.ge.kpbl(i)) then |
|---|
| 1031 | xkzq(i,k) = xkzh(i,k) |
|---|
| 1032 | endif |
|---|
| 1033 | enddo |
|---|
| 1034 | enddo |
|---|
| 1035 | ! |
|---|
| 1036 | do k = kts,kte-1 |
|---|
| 1037 | do i = its,ite |
|---|
| 1038 | dtodsd = dt2/del(i,k) |
|---|
| 1039 | dtodsu = dt2/del(i,k+1) |
|---|
| 1040 | dsig = p2d(i,k)-p2d(i,k+1) |
|---|
| 1041 | rdz = 1./dza(i,k+1) |
|---|
| 1042 | tem1 = dsig*xkzq(i,k)*rdz |
|---|
| 1043 | if(pblflg(i).and.k.lt.kpbl(i)) then |
|---|
| 1044 | dsdzq = tem1*(-qfxpbl(i)*zfacent(i,k)/xkzq(i,k)) |
|---|
| 1045 | f3(i,k,1) = f3(i,k,1)+dtodsd*dsdzq |
|---|
| 1046 | f3(i,k+1,1) = qx(i,k+1)-dtodsu*dsdzq |
|---|
| 1047 | elseif(pblflg(i).and.k.ge.kpbl(i).and.entfac(i,k).lt.4.6) then |
|---|
| 1048 | xkzq(i,k) = -we(i)*dza(i,kpbl(i))*exp(-entfac(i,k)) |
|---|
| 1049 | xkzq(i,k) = sqrt(xkzq(i,k)*xkzhl(i,k)) |
|---|
| 1050 | xkzq(i,k) = min(xkzq(i,k),xkzmax) |
|---|
| 1051 | xkzq(i,k) = max(xkzq(i,k),xkzmin) |
|---|
| 1052 | f3(i,k+1,1) = qx(i,k+1) |
|---|
| 1053 | else |
|---|
| 1054 | f3(i,k+1,1) = qx(i,k+1) |
|---|
| 1055 | endif |
|---|
| 1056 | tem1 = dsig*xkzq(i,k)*rdz |
|---|
| 1057 | dsdz2 = tem1*rdz |
|---|
| 1058 | au(i,k) = -dtodsd*dsdz2 |
|---|
| 1059 | al(i,k) = -dtodsu*dsdz2 |
|---|
| 1060 | ad(i,k) = ad(i,k)-au(i,k) |
|---|
| 1061 | ad(i,k+1) = 1.-al(i,k) |
|---|
| 1062 | ! exch_hx(i,k+1) = xkzh(i,k) |
|---|
| 1063 | enddo |
|---|
| 1064 | enddo |
|---|
| 1065 | ! |
|---|
| 1066 | if(ndiff.ge.2) then |
|---|
| 1067 | do ic = 2,ndiff |
|---|
| 1068 | is = (ic-1) * kte |
|---|
| 1069 | do k = kts,kte-1 |
|---|
| 1070 | do i = its,ite |
|---|
| 1071 | f3(i,k+1,ic) = qx(i,k+1+is) |
|---|
| 1072 | enddo |
|---|
| 1073 | enddo |
|---|
| 1074 | enddo |
|---|
| 1075 | endif |
|---|
| 1076 | ! |
|---|
| 1077 | ! copies here to avoid duplicate input args for tridin |
|---|
| 1078 | ! |
|---|
| 1079 | do k = kts,kte |
|---|
| 1080 | do i = its,ite |
|---|
| 1081 | cu(i,k) = au(i,k) |
|---|
| 1082 | enddo |
|---|
| 1083 | enddo |
|---|
| 1084 | ! |
|---|
| 1085 | do ic = 1,ndiff |
|---|
| 1086 | do k = kts,kte |
|---|
| 1087 | do i = its,ite |
|---|
| 1088 | r3(i,k,ic) = f3(i,k,ic) |
|---|
| 1089 | enddo |
|---|
| 1090 | enddo |
|---|
| 1091 | enddo |
|---|
| 1092 | ! |
|---|
| 1093 | ! solve tridiagonal problem for moisture, clouds, and tracers |
|---|
| 1094 | ! |
|---|
| 1095 | call tridin_ysu(al,ad,cu,r3,au,f3,its,ite,kts,kte,ndiff) |
|---|
| 1096 | ! |
|---|
| 1097 | ! recover tendencies of heat and moisture |
|---|
| 1098 | ! |
|---|
| 1099 | do k = kte,kts,-1 |
|---|
| 1100 | do i = its,ite |
|---|
| 1101 | qtend = (f3(i,k,1)-qx(i,k))*rdt |
|---|
| 1102 | qtnp(i,k) = qtnp(i,k)+qtend |
|---|
| 1103 | dqsfc(i) = dqsfc(i)+qtend*conq*del(i,k) |
|---|
| 1104 | enddo |
|---|
| 1105 | enddo |
|---|
| 1106 | ! |
|---|
| 1107 | if(ndiff.ge.2) then |
|---|
| 1108 | do ic = 2,ndiff |
|---|
| 1109 | is = (ic-1) * kte |
|---|
| 1110 | do k = kte,kts,-1 |
|---|
| 1111 | do i = its,ite |
|---|
| 1112 | qtend = (f3(i,k,ic)-qx(i,k+is))*rdt |
|---|
| 1113 | qtnp(i,k+is) = qtnp(i,k+is)+qtend |
|---|
| 1114 | enddo |
|---|
| 1115 | enddo |
|---|
| 1116 | enddo |
|---|
| 1117 | endif |
|---|
| 1118 | ! |
|---|
| 1119 | ! compute tridiagonal matrix elements for momentum |
|---|
| 1120 | ! |
|---|
| 1121 | do i = its,ite |
|---|
| 1122 | do k = kts,kte |
|---|
| 1123 | au(i,k) = 0. |
|---|
| 1124 | al(i,k) = 0. |
|---|
| 1125 | ad(i,k) = 0. |
|---|
| 1126 | f1(i,k) = 0. |
|---|
| 1127 | f2(i,k) = 0. |
|---|
| 1128 | enddo |
|---|
| 1129 | enddo |
|---|
| 1130 | ! |
|---|
| 1131 | do i = its,ite |
|---|
| 1132 | ad(i,1) = 1.+ust(i)**2/wspd1(i)*rhox(i)*g/del(i,1)*dt2 & |
|---|
| 1133 | *(wspd1(i)/wspd(i))**2 |
|---|
| 1134 | f1(i,1) = ux(i,1) |
|---|
| 1135 | f2(i,1) = vx(i,1) |
|---|
| 1136 | enddo |
|---|
| 1137 | ! |
|---|
| 1138 | do k = kts,kte-1 |
|---|
| 1139 | do i = its,ite |
|---|
| 1140 | dtodsd = dt2/del(i,k) |
|---|
| 1141 | dtodsu = dt2/del(i,k+1) |
|---|
| 1142 | dsig = p2d(i,k)-p2d(i,k+1) |
|---|
| 1143 | rdz = 1./dza(i,k+1) |
|---|
| 1144 | tem1 = dsig*xkzm(i,k)*rdz |
|---|
| 1145 | if(pblflg(i).and.k.lt.kpbl(i))then |
|---|
| 1146 | dsdzu = tem1*(-hgamu(i)/hpbl(i)-ufxpbl(i)*zfacent(i,k)/xkzm(i,k)) |
|---|
| 1147 | dsdzv = tem1*(-hgamv(i)/hpbl(i)-vfxpbl(i)*zfacent(i,k)/xkzm(i,k)) |
|---|
| 1148 | f1(i,k) = f1(i,k)+dtodsd*dsdzu |
|---|
| 1149 | f1(i,k+1) = ux(i,k+1)-dtodsu*dsdzu |
|---|
| 1150 | f2(i,k) = f2(i,k)+dtodsd*dsdzv |
|---|
| 1151 | f2(i,k+1) = vx(i,k+1)-dtodsu*dsdzv |
|---|
| 1152 | elseif(pblflg(i).and.k.ge.kpbl(i).and.entfac(i,k).lt.4.6) then |
|---|
| 1153 | xkzm(i,k) = prpbl(i)*xkzh(i,k) |
|---|
| 1154 | xkzm(i,k) = sqrt(xkzm(i,k)*xkzml(i,k)) |
|---|
| 1155 | xkzm(i,k) = min(xkzm(i,k),xkzmax) |
|---|
| 1156 | xkzm(i,k) = max(xkzm(i,k),xkzmin) |
|---|
| 1157 | f1(i,k+1) = ux(i,k+1) |
|---|
| 1158 | f2(i,k+1) = vx(i,k+1) |
|---|
| 1159 | else |
|---|
| 1160 | f1(i,k+1) = ux(i,k+1) |
|---|
| 1161 | f2(i,k+1) = vx(i,k+1) |
|---|
| 1162 | endif |
|---|
| 1163 | tem1 = dsig*xkzm(i,k)*rdz |
|---|
| 1164 | dsdz2 = tem1*rdz |
|---|
| 1165 | au(i,k) = -dtodsd*dsdz2 |
|---|
| 1166 | al(i,k) = -dtodsu*dsdz2 |
|---|
| 1167 | ad(i,k) = ad(i,k)-au(i,k) |
|---|
| 1168 | ad(i,k+1) = 1.-al(i,k) |
|---|
| 1169 | enddo |
|---|
| 1170 | enddo |
|---|
| 1171 | ! |
|---|
| 1172 | ! copies here to avoid duplicate input args for tridin |
|---|
| 1173 | ! |
|---|
| 1174 | do k = kts,kte |
|---|
| 1175 | do i = its,ite |
|---|
| 1176 | cu(i,k) = au(i,k) |
|---|
| 1177 | r1(i,k) = f1(i,k) |
|---|
| 1178 | r2(i,k) = f2(i,k) |
|---|
| 1179 | enddo |
|---|
| 1180 | enddo |
|---|
| 1181 | ! |
|---|
| 1182 | ! solve tridiagonal problem for momentum |
|---|
| 1183 | ! |
|---|
| 1184 | call tridi1n(al,ad,cu,r1,r2,au,f1,f2,its,ite,kts,kte,1) |
|---|
| 1185 | ! |
|---|
| 1186 | ! recover tendencies of momentum |
|---|
| 1187 | ! |
|---|
| 1188 | do k = kte,kts,-1 |
|---|
| 1189 | do i = its,ite |
|---|
| 1190 | utend = (f1(i,k)-ux(i,k))*rdt |
|---|
| 1191 | vtend = (f2(i,k)-vx(i,k))*rdt |
|---|
| 1192 | utnp(i,k) = utnp(i,k)+utend |
|---|
| 1193 | vtnp(i,k) = vtnp(i,k)+vtend |
|---|
| 1194 | dusfc(i) = dusfc(i) + utend*conwrc*del(i,k) |
|---|
| 1195 | dvsfc(i) = dvsfc(i) + vtend*conwrc*del(i,k) |
|---|
| 1196 | enddo |
|---|
| 1197 | enddo |
|---|
| 1198 | ! |
|---|
| 1199 | !---- end of vertical diffusion |
|---|
| 1200 | ! |
|---|
| 1201 | do i = its,ite |
|---|
| 1202 | kpbl1d(i) = kpbl(i) |
|---|
| 1203 | enddo |
|---|
| 1204 | ! |
|---|
| 1205 | end subroutine ysu2d |
|---|
| 1206 | ! |
|---|
| 1207 | subroutine tridi1n(cl,cm,cu,r1,r2,au,f1,f2,its,ite,kts,kte,nt) |
|---|
| 1208 | !---------------------------------------------------------------- |
|---|
| 1209 | implicit none |
|---|
| 1210 | !---------------------------------------------------------------- |
|---|
| 1211 | ! |
|---|
| 1212 | integer, intent(in ) :: its,ite, kts,kte, nt |
|---|
| 1213 | ! |
|---|
| 1214 | real, dimension( its:ite, kts+1:kte+1 ) , & |
|---|
| 1215 | intent(in ) :: cl |
|---|
| 1216 | ! |
|---|
| 1217 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1218 | intent(in ) :: cm, & |
|---|
| 1219 | r1 |
|---|
| 1220 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1221 | intent(in ) :: r2 |
|---|
| 1222 | ! |
|---|
| 1223 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1224 | intent(inout) :: au, & |
|---|
| 1225 | cu, & |
|---|
| 1226 | f1 |
|---|
| 1227 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1228 | intent(inout) :: f2 |
|---|
| 1229 | ! |
|---|
| 1230 | real :: fk |
|---|
| 1231 | integer :: i,k,l,n,it |
|---|
| 1232 | ! |
|---|
| 1233 | !---------------------------------------------------------------- |
|---|
| 1234 | ! |
|---|
| 1235 | l = ite |
|---|
| 1236 | n = kte |
|---|
| 1237 | ! |
|---|
| 1238 | do i = its,l |
|---|
| 1239 | fk = 1./cm(i,1) |
|---|
| 1240 | au(i,1) = fk*cu(i,1) |
|---|
| 1241 | f1(i,1) = fk*r1(i,1) |
|---|
| 1242 | enddo |
|---|
| 1243 | do it = 1,nt |
|---|
| 1244 | do i = its,l |
|---|
| 1245 | fk = 1./cm(i,1) |
|---|
| 1246 | f2(i,1,it) = fk*r2(i,1,it) |
|---|
| 1247 | enddo |
|---|
| 1248 | enddo |
|---|
| 1249 | do k = kts+1,n-1 |
|---|
| 1250 | do i = its,l |
|---|
| 1251 | fk = 1./(cm(i,k)-cl(i,k)*au(i,k-1)) |
|---|
| 1252 | au(i,k) = fk*cu(i,k) |
|---|
| 1253 | f1(i,k) = fk*(r1(i,k)-cl(i,k)*f1(i,k-1)) |
|---|
| 1254 | enddo |
|---|
| 1255 | enddo |
|---|
| 1256 | do it = 1,nt |
|---|
| 1257 | do k = kts+1,n-1 |
|---|
| 1258 | do i = its,l |
|---|
| 1259 | fk = 1./(cm(i,k)-cl(i,k)*au(i,k-1)) |
|---|
| 1260 | f2(i,k,it) = fk*(r2(i,k,it)-cl(i,k)*f2(i,k-1,it)) |
|---|
| 1261 | enddo |
|---|
| 1262 | enddo |
|---|
| 1263 | enddo |
|---|
| 1264 | do i = its,l |
|---|
| 1265 | fk = 1./(cm(i,n)-cl(i,n)*au(i,n-1)) |
|---|
| 1266 | f1(i,n) = fk*(r1(i,n)-cl(i,n)*f1(i,n-1)) |
|---|
| 1267 | enddo |
|---|
| 1268 | do it = 1,nt |
|---|
| 1269 | do i = its,l |
|---|
| 1270 | fk = 1./(cm(i,n)-cl(i,n)*au(i,n-1)) |
|---|
| 1271 | f2(i,n,it) = fk*(r2(i,n,it)-cl(i,n)*f2(i,n-1,it)) |
|---|
| 1272 | enddo |
|---|
| 1273 | enddo |
|---|
| 1274 | do k = n-1,kts,-1 |
|---|
| 1275 | do i = its,l |
|---|
| 1276 | f1(i,k) = f1(i,k)-au(i,k)*f1(i,k+1) |
|---|
| 1277 | enddo |
|---|
| 1278 | enddo |
|---|
| 1279 | do it = 1,nt |
|---|
| 1280 | do k = n-1,kts,-1 |
|---|
| 1281 | do i = its,l |
|---|
| 1282 | f2(i,k,it) = f2(i,k,it)-au(i,k)*f2(i,k+1,it) |
|---|
| 1283 | enddo |
|---|
| 1284 | enddo |
|---|
| 1285 | enddo |
|---|
| 1286 | ! |
|---|
| 1287 | end subroutine tridi1n |
|---|
| 1288 | ! |
|---|
| 1289 | subroutine tridin_ysu(cl,cm,cu,r2,au,f2,its,ite,kts,kte,nt) |
|---|
| 1290 | !---------------------------------------------------------------- |
|---|
| 1291 | implicit none |
|---|
| 1292 | !---------------------------------------------------------------- |
|---|
| 1293 | ! |
|---|
| 1294 | integer, intent(in ) :: its,ite, kts,kte, nt |
|---|
| 1295 | ! |
|---|
| 1296 | real, dimension( its:ite, kts+1:kte+1 ) , & |
|---|
| 1297 | intent(in ) :: cl |
|---|
| 1298 | ! |
|---|
| 1299 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1300 | intent(in ) :: cm |
|---|
| 1301 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1302 | intent(in ) :: r2 |
|---|
| 1303 | ! |
|---|
| 1304 | real, dimension( its:ite, kts:kte ) , & |
|---|
| 1305 | intent(inout) :: au, & |
|---|
| 1306 | cu |
|---|
| 1307 | real, dimension( its:ite, kts:kte,nt ) , & |
|---|
| 1308 | intent(inout) :: f2 |
|---|
| 1309 | ! |
|---|
| 1310 | real :: fk |
|---|
| 1311 | integer :: i,k,l,n,it |
|---|
| 1312 | ! |
|---|
| 1313 | !---------------------------------------------------------------- |
|---|
| 1314 | ! |
|---|
| 1315 | l = ite |
|---|
| 1316 | n = kte |
|---|
| 1317 | ! |
|---|
| 1318 | do it = 1,nt |
|---|
| 1319 | do i = its,l |
|---|
| 1320 | fk = 1./cm(i,1) |
|---|
| 1321 | au(i,1) = fk*cu(i,1) |
|---|
| 1322 | f2(i,1,it) = fk*r2(i,1,it) |
|---|
| 1323 | enddo |
|---|
| 1324 | enddo |
|---|
| 1325 | do it = 1,nt |
|---|
| 1326 | do k = kts+1,n-1 |
|---|
| 1327 | do i = its,l |
|---|
| 1328 | fk = 1./(cm(i,k)-cl(i,k)*au(i,k-1)) |
|---|
| 1329 | au(i,k) = fk*cu(i,k) |
|---|
| 1330 | f2(i,k,it) = fk*(r2(i,k,it)-cl(i,k)*f2(i,k-1,it)) |
|---|
| 1331 | enddo |
|---|
| 1332 | enddo |
|---|
| 1333 | enddo |
|---|
| 1334 | do it = 1,nt |
|---|
| 1335 | do i = its,l |
|---|
| 1336 | fk = 1./(cm(i,n)-cl(i,n)*au(i,n-1)) |
|---|
| 1337 | f2(i,n,it) = fk*(r2(i,n,it)-cl(i,n)*f2(i,n-1,it)) |
|---|
| 1338 | enddo |
|---|
| 1339 | enddo |
|---|
| 1340 | do it = 1,nt |
|---|
| 1341 | do k = n-1,kts,-1 |
|---|
| 1342 | do i = its,l |
|---|
| 1343 | f2(i,k,it) = f2(i,k,it)-au(i,k)*f2(i,k+1,it) |
|---|
| 1344 | enddo |
|---|
| 1345 | enddo |
|---|
| 1346 | enddo |
|---|
| 1347 | ! |
|---|
| 1348 | end subroutine tridin_ysu |
|---|
| 1349 | ! |
|---|
| 1350 | subroutine ysuinit(rublten,rvblten,rthblten,rqvblten, & |
|---|
| 1351 | rqcblten,rqiblten,p_qi,p_first_scalar, & |
|---|
| 1352 | restart, allowed_to_read, & |
|---|
| 1353 | ids, ide, jds, jde, kds, kde, & |
|---|
| 1354 | ims, ime, jms, jme, kms, kme, & |
|---|
| 1355 | its, ite, jts, jte, kts, kte ) |
|---|
| 1356 | !------------------------------------------------------------------- |
|---|
| 1357 | implicit none |
|---|
| 1358 | !------------------------------------------------------------------- |
|---|
| 1359 | ! |
|---|
| 1360 | logical , intent(in) :: restart, allowed_to_read |
|---|
| 1361 | integer , intent(in) :: ids, ide, jds, jde, kds, kde, & |
|---|
| 1362 | ims, ime, jms, jme, kms, kme, & |
|---|
| 1363 | its, ite, jts, jte, kts, kte |
|---|
| 1364 | integer , intent(in) :: p_qi,p_first_scalar |
|---|
| 1365 | real , dimension( ims:ime , kms:kme , jms:jme ), intent(out) :: & |
|---|
| 1366 | rublten, & |
|---|
| 1367 | rvblten, & |
|---|
| 1368 | rthblten, & |
|---|
| 1369 | rqvblten, & |
|---|
| 1370 | rqcblten, & |
|---|
| 1371 | rqiblten |
|---|
| 1372 | integer :: i, j, k, itf, jtf, ktf |
|---|
| 1373 | ! |
|---|
| 1374 | jtf = min0(jte,jde-1) |
|---|
| 1375 | ktf = min0(kte,kde-1) |
|---|
| 1376 | itf = min0(ite,ide-1) |
|---|
| 1377 | ! |
|---|
| 1378 | if(.not.restart)then |
|---|
| 1379 | do j = jts,jtf |
|---|
| 1380 | do k = kts,ktf |
|---|
| 1381 | do i = its,itf |
|---|
| 1382 | rublten(i,k,j) = 0. |
|---|
| 1383 | rvblten(i,k,j) = 0. |
|---|
| 1384 | rthblten(i,k,j) = 0. |
|---|
| 1385 | rqvblten(i,k,j) = 0. |
|---|
| 1386 | rqcblten(i,k,j) = 0. |
|---|
| 1387 | enddo |
|---|
| 1388 | enddo |
|---|
| 1389 | enddo |
|---|
| 1390 | endif |
|---|
| 1391 | ! |
|---|
| 1392 | if (p_qi .ge. p_first_scalar .and. .not.restart) then |
|---|
| 1393 | do j = jts,jtf |
|---|
| 1394 | do k = kts,ktf |
|---|
| 1395 | do i = its,itf |
|---|
| 1396 | rqiblten(i,k,j) = 0. |
|---|
| 1397 | enddo |
|---|
| 1398 | enddo |
|---|
| 1399 | enddo |
|---|
| 1400 | endif |
|---|
| 1401 | ! |
|---|
| 1402 | end subroutine ysuinit |
|---|
| 1403 | !------------------------------------------------------------------- |
|---|
| 1404 | end module module_bl_ysu |
|---|