| 1 | #ifdef _ACCEL |
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| 2 | # include "module_mp_wsm3_accel.F" |
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| 3 | #else |
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| 4 | #if ( RWORDSIZE == 4 ) |
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| 5 | # define VREC vsrec |
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| 6 | # define VSQRT vssqrt |
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| 7 | #else |
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| 8 | # define VREC vrec |
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| 9 | # define VSQRT vsqrt |
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| 10 | #endif |
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| 11 | |
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| 12 | MODULE module_mp_wsm3 |
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| 13 | ! |
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| 14 | ! |
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| 15 | REAL, PARAMETER, PRIVATE :: dtcldcr = 120. ! maximum time step for minor loops |
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| 16 | REAL, PARAMETER, PRIVATE :: n0r = 8.e6 ! intercept parameter rain |
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| 17 | REAL, PARAMETER, PRIVATE :: avtr = 841.9 ! a constant for terminal velocity of rain |
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| 18 | REAL, PARAMETER, PRIVATE :: bvtr = 0.8 ! a constant for terminal velocity of rain |
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| 19 | REAL, PARAMETER, PRIVATE :: r0 = .8e-5 ! 8 microm in contrast to 10 micro m |
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| 20 | REAL, PARAMETER, PRIVATE :: peaut = .55 ! collection efficiency |
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| 21 | REAL, PARAMETER, PRIVATE :: xncr = 3.e8 ! maritime cloud in contrast to 3.e8 in tc80 |
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| 22 | REAL, PARAMETER, PRIVATE :: xmyu = 1.718e-5 ! the dynamic viscosity kgm-1s-1 |
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| 23 | REAL, PARAMETER, PRIVATE :: avts = 11.72 ! a constant for terminal velocity of snow |
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| 24 | REAL, PARAMETER, PRIVATE :: bvts = .41 ! a constant for terminal velocity of snow |
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| 25 | REAL, PARAMETER, PRIVATE :: n0smax = 1.e11 ! maximum n0s (t=-90C unlimited) |
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| 26 | REAL, PARAMETER, PRIVATE :: lamdarmax = 8.e4 ! limited maximum value for slope parameter of rain |
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| 27 | REAL, PARAMETER, PRIVATE :: lamdasmax = 1.e5 ! limited maximum value for slope parameter of snow |
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| 28 | REAL, PARAMETER, PRIVATE :: lamdagmax = 6.e4 ! limited maximum value for slope parameter of graupel |
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| 29 | REAL, PARAMETER, PRIVATE :: dicon = 11.9 ! constant for the cloud-ice diamter |
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| 30 | REAL, PARAMETER, PRIVATE :: dimax = 500.e-6 ! limited maximum value for the cloud-ice diamter |
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| 31 | REAL, PARAMETER, PRIVATE :: n0s = 2.e6 ! temperature dependent intercept parameter snow |
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| 32 | REAL, PARAMETER, PRIVATE :: alpha = .12 ! .122 exponen factor for n0s |
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| 33 | REAL, PARAMETER, PRIVATE :: qcrmin = 1.e-9 ! minimun values for qr, qs, and qg |
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| 34 | REAL, SAVE :: & |
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| 35 | qc0, qck1,bvtr1,bvtr2,bvtr3,bvtr4,g1pbr, & |
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| 36 | g3pbr,g4pbr,g5pbro2,pvtr,eacrr,pacrr, & |
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| 37 | precr1,precr2,xmmax,roqimax,bvts1, & |
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| 38 | bvts2,bvts3,bvts4,g1pbs,g3pbs,g4pbs, & |
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| 39 | g5pbso2,pvts,pacrs,precs1,precs2,pidn0r, & |
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| 40 | pidn0s,xlv1,pi, & |
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| 41 | rslopermax,rslopesmax,rslopegmax, & |
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| 42 | rsloperbmax,rslopesbmax,rslopegbmax, & |
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| 43 | rsloper2max,rslopes2max,rslopeg2max, & |
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| 44 | rsloper3max,rslopes3max,rslopeg3max |
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| 45 | ! |
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| 46 | ! Specifies code-inlining of fpvs function in WSM32D below. JM 20040507 |
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| 47 | ! |
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| 48 | CONTAINS |
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| 49 | !=================================================================== |
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| 50 | ! |
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| 51 | SUBROUTINE wsm3(th, q, qci, qrs & |
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| 52 | , w, den, pii, p, delz & |
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| 53 | , delt,g, cpd, cpv, rd, rv, t0c & |
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| 54 | , ep1, ep2, qmin & |
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| 55 | , XLS, XLV0, XLF0, den0, denr & |
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| 56 | , cliq,cice,psat & |
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| 57 | , rain, rainncv & |
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| 58 | , snow, snowncv & |
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| 59 | , sr & |
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| 60 | , ids,ide, jds,jde, kds,kde & |
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| 61 | , ims,ime, jms,jme, kms,kme & |
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| 62 | , its,ite, jts,jte, kts,kte & |
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| 63 | ) |
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| 64 | !------------------------------------------------------------------- |
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| 65 | IMPLICIT NONE |
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| 66 | !------------------------------------------------------------------- |
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| 67 | ! |
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| 68 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde , & |
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| 69 | ims,ime, jms,jme, kms,kme , & |
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| 70 | its,ite, jts,jte, kts,kte |
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| 71 | REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), & |
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| 72 | INTENT(INOUT) :: & |
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| 73 | th, & |
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| 74 | q, & |
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| 75 | qci, & |
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| 76 | qrs |
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| 77 | REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), & |
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| 78 | INTENT(IN ) :: w, & |
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| 79 | den, & |
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| 80 | pii, & |
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| 81 | p, & |
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| 82 | delz |
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| 83 | REAL, INTENT(IN ) :: delt, & |
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| 84 | g, & |
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| 85 | rd, & |
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| 86 | rv, & |
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| 87 | t0c, & |
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| 88 | den0, & |
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| 89 | cpd, & |
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| 90 | cpv, & |
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| 91 | ep1, & |
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| 92 | ep2, & |
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| 93 | qmin, & |
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| 94 | XLS, & |
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| 95 | XLV0, & |
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| 96 | XLF0, & |
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| 97 | cliq, & |
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| 98 | cice, & |
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| 99 | psat, & |
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| 100 | denr |
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| 101 | REAL, DIMENSION( ims:ime , jms:jme ), & |
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| 102 | INTENT(INOUT) :: rain, & |
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| 103 | rainncv |
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| 104 | REAL, DIMENSION( ims:ime , jms:jme ), OPTIONAL, & |
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| 105 | INTENT(INOUT) :: snow, & |
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| 106 | snowncv, & |
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| 107 | sr |
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| 108 | ! LOCAL VAR |
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| 109 | REAL, DIMENSION( its:ite , kts:kte ) :: t |
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| 110 | INTEGER :: i,j,k |
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| 111 | !------------------------------------------------------------------- |
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| 112 | DO j=jts,jte |
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| 113 | DO k=kts,kte |
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| 114 | DO i=its,ite |
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| 115 | t(i,k)=th(i,k,j)*pii(i,k,j) |
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| 116 | ENDDO |
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| 117 | ENDDO |
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| 118 | CALL wsm32D(t, q(ims,kms,j), qci(ims,kms,j) & |
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| 119 | ,qrs(ims,kms,j),w(ims,kms,j), den(ims,kms,j) & |
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| 120 | ,p(ims,kms,j), delz(ims,kms,j) & |
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| 121 | ,delt,g, cpd, cpv, rd, rv, t0c & |
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| 122 | ,ep1, ep2, qmin & |
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| 123 | ,XLS, XLV0, XLF0, den0, denr & |
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| 124 | ,cliq,cice,psat & |
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| 125 | ,j & |
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| 126 | ,rain(ims,j), rainncv(ims,j) & |
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| 127 | ,snow(ims,j),snowncv(ims,j) & |
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| 128 | ,sr(ims,j) & |
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| 129 | ,ids,ide, jds,jde, kds,kde & |
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| 130 | ,ims,ime, jms,jme, kms,kme & |
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| 131 | ,its,ite, jts,jte, kts,kte & |
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| 132 | ) |
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| 133 | DO K=kts,kte |
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| 134 | DO I=its,ite |
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| 135 | th(i,k,j)=t(i,k)/pii(i,k,j) |
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| 136 | ENDDO |
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| 137 | ENDDO |
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| 138 | ENDDO |
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| 139 | END SUBROUTINE wsm3 |
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| 140 | !=================================================================== |
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| 141 | ! |
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| 142 | SUBROUTINE wsm32D(t, q & |
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| 143 | ,qci, qrs,w, den, p, delz & |
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| 144 | ,delt,g, cpd, cpv, rd, rv, t0c & |
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| 145 | ,ep1, ep2, qmin & |
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| 146 | ,XLS, XLV0, XLF0, den0, denr & |
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| 147 | ,cliq,cice,psat & |
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| 148 | ,lat & |
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| 149 | ,rain, rainncv & |
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| 150 | ,snow,snowncv & |
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| 151 | ,sr & |
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| 152 | ,ids,ide, jds,jde, kds,kde & |
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| 153 | ,ims,ime, jms,jme, kms,kme & |
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| 154 | ,its,ite, jts,jte, kts,kte & |
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| 155 | ) |
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| 156 | !------------------------------------------------------------------- |
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| 157 | IMPLICIT NONE |
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| 158 | !------------------------------------------------------------------- |
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| 159 | ! |
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| 160 | ! This code is a 3-class simple ice microphyiscs scheme (WSM3) of the |
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| 161 | ! Single-Moment MicroPhyiscs (WSMMP). The WSMMP assumes that ice nuclei |
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| 162 | ! number concentration is a function of temperature, and seperate assumption |
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| 163 | ! is developed, in which ice crystal number concentration is a function |
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| 164 | ! of ice amount. A theoretical background of the ice-microphysics and related |
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| 165 | ! processes in the WSMMPs are described in Hong et al. (2004). |
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| 166 | ! Production terms in the WSM6 scheme are described in Hong and Lim (2006). |
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| 167 | ! All units are in m.k.s. and source/sink terms in kgkg-1s-1. |
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| 168 | ! |
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| 169 | ! WSM3 cloud scheme |
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| 170 | ! |
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| 171 | ! Developed by Song-You Hong (Yonsei Univ.), Jimy Dudhia (NCAR) |
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| 172 | ! and Shu-Hua Chen (UC Davis) |
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| 173 | ! Summer 2002 |
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| 174 | ! |
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| 175 | ! Implemented by Song-You Hong (Yonsei Univ.) and Jimy Dudhia (NCAR) |
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| 176 | ! Summer 2003 |
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| 177 | ! |
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| 178 | ! History : semi-lagrangian scheme sedimentation(JH), and clean up |
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| 179 | ! Hong, August 2009 |
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| 180 | ! |
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| 181 | ! Reference) Hong, Dudhia, Chen (HDC, 2004) Mon. Wea. Rev. |
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| 182 | ! Dudhia (D89, 1989) J. Atmos. Sci. |
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| 183 | ! Hong and Lim (HL, 2006) J. Korean Meteor. Soc. |
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| 184 | ! Juang and Hong (JH, 2010) Mon. Wea. Rev. |
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| 185 | ! |
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| 186 | INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde, & |
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| 187 | ims,ime, jms,jme, kms,kme, & |
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| 188 | its,ite, jts,jte, kts,kte, & |
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| 189 | lat |
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| 190 | REAL, DIMENSION( its:ite , kts:kte ), & |
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| 191 | INTENT(INOUT) :: & |
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| 192 | t |
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| 193 | REAL, DIMENSION( ims:ime , kms:kme ), & |
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| 194 | INTENT(INOUT) :: & |
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| 195 | q, & |
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| 196 | qci, & |
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| 197 | qrs |
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| 198 | REAL, DIMENSION( ims:ime , kms:kme ), & |
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| 199 | INTENT(IN ) :: w, & |
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| 200 | den, & |
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| 201 | p, & |
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| 202 | delz |
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| 203 | REAL, INTENT(IN ) :: delt, & |
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| 204 | g, & |
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| 205 | cpd, & |
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| 206 | cpv, & |
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| 207 | t0c, & |
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| 208 | den0, & |
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| 209 | rd, & |
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| 210 | rv, & |
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| 211 | ep1, & |
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| 212 | ep2, & |
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| 213 | qmin, & |
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| 214 | XLS, & |
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| 215 | XLV0, & |
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| 216 | XLF0, & |
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| 217 | cliq, & |
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| 218 | cice, & |
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| 219 | psat, & |
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| 220 | denr |
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| 221 | REAL, DIMENSION( ims:ime ), & |
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| 222 | INTENT(INOUT) :: rain, & |
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| 223 | rainncv |
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| 224 | REAL, DIMENSION( ims:ime ), OPTIONAL, & |
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| 225 | INTENT(INOUT) :: snow, & |
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| 226 | snowncv, & |
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| 227 | sr |
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| 228 | ! LOCAL VAR |
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| 229 | REAL, DIMENSION( its:ite , kts:kte ) :: & |
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| 230 | rh, & |
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| 231 | qs, & |
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| 232 | denfac, & |
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| 233 | rslope, & |
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| 234 | rslope2, & |
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| 235 | rslope3, & |
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| 236 | qrs_tmp, & |
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| 237 | den_tmp, & |
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| 238 | delz_tmp, & |
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| 239 | rslopeb |
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| 240 | REAL, DIMENSION( its:ite , kts:kte ) :: & |
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| 241 | pgen, & |
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| 242 | pisd, & |
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| 243 | paut, & |
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| 244 | pacr, & |
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| 245 | pres, & |
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| 246 | pcon |
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| 247 | REAL, DIMENSION( its:ite , kts:kte ) :: & |
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| 248 | fall, & |
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| 249 | falk, & |
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| 250 | xl, & |
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| 251 | cpm, & |
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| 252 | work1, & |
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| 253 | work2, & |
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| 254 | xni, & |
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| 255 | qs0, & |
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| 256 | denqci, & |
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| 257 | denqrs, & |
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| 258 | n0sfac, & |
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| 259 | falkc, & |
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| 260 | work1c, & |
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| 261 | work2c, & |
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| 262 | fallc |
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| 263 | REAL, DIMENSION( its:ite ) :: delqrs,& |
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| 264 | delqi |
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| 265 | REAL, DIMENSION(its:ite) :: tstepsnow |
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| 266 | INTEGER, DIMENSION( its:ite ) :: kwork1,& |
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| 267 | kwork2 |
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| 268 | INTEGER, DIMENSION( its:ite ) :: mstep, & |
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| 269 | numdt |
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| 270 | LOGICAL, DIMENSION( its:ite ) :: flgcld |
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| 271 | REAL :: & |
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| 272 | cpmcal, xlcal, diffus, & |
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| 273 | viscos, xka, venfac, conden, diffac, & |
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| 274 | x, y, z, a, b, c, d, e, & |
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| 275 | fallsum, fallsum_qsi, vt2i,vt2s,acrfac, & |
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| 276 | qdt, pvt, qik, delq, facq, qrsci, frzmlt, & |
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| 277 | snomlt, hold, holdrs, facqci, supcol, coeres, & |
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| 278 | supsat, dtcld, xmi, qciik, delqci, eacrs, satdt, & |
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| 279 | qimax, diameter, xni0, roqi0, supice,holdc, holdci |
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| 280 | INTEGER :: i, j, k, mstepmax, & |
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| 281 | iprt, latd, lond, loop, loops, ifsat, kk, n, idim, kdim |
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| 282 | ! Temporaries used for inlining fpvs function |
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| 283 | REAL :: dldti, xb, xai, tr, xbi, xa, hvap, cvap, hsub, dldt, ttp |
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| 284 | ! variables for optimization |
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| 285 | REAL, DIMENSION( its:ite ) :: tvec1 |
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| 286 | ! |
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| 287 | !================================================================= |
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| 288 | ! compute internal functions |
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| 289 | ! |
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| 290 | cpmcal(x) = cpd*(1.-max(x,qmin))+max(x,qmin)*cpv |
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| 291 | xlcal(x) = xlv0-xlv1*(x-t0c) |
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| 292 | !---------------------------------------------------------------- |
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| 293 | ! diffus: diffusion coefficient of the water vapor |
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| 294 | ! viscos: kinematic viscosity(m2s-1) |
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| 295 | ! Optimizatin : A**B => exp(log(A)*(B)) |
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| 296 | ! |
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| 297 | diffus(x,y) = 8.794e-5 * exp(log(x)*(1.81)) / y ! 8.794e-5*x**1.81/y |
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| 298 | viscos(x,y) = 1.496e-6 * (x*sqrt(x)) /(x+120.)/y ! 1.496e-6*x**1.5/(x+120.)/y |
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| 299 | xka(x,y) = 1.414e3*viscos(x,y)*y |
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| 300 | diffac(a,b,c,d,e) = d*a*a/(xka(c,d)*rv*c*c)+1./(e*diffus(c,b)) |
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| 301 | venfac(a,b,c) = exp(log((viscos(b,c)/diffus(b,a)))*((.3333333))) & |
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| 302 | /sqrt(viscos(b,c))*sqrt(sqrt(den0/c)) |
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| 303 | conden(a,b,c,d,e) = (max(b,qmin)-c)/(1.+d*d/(rv*e)*c/(a*a)) |
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| 304 | ! |
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| 305 | idim = ite-its+1 |
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| 306 | kdim = kte-kts+1 |
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| 307 | ! |
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| 308 | !---------------------------------------------------------------- |
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| 309 | ! paddint 0 for negative values generated by dynamics |
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| 310 | ! |
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| 311 | do k = kts, kte |
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| 312 | do i = its, ite |
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| 313 | qci(i,k) = max(qci(i,k),0.0) |
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| 314 | qrs(i,k) = max(qrs(i,k),0.0) |
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| 315 | enddo |
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| 316 | enddo |
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| 317 | ! |
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| 318 | !---------------------------------------------------------------- |
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| 319 | ! latent heat for phase changes and heat capacity. neglect the |
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| 320 | ! changes during microphysical process calculation |
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| 321 | ! emanuel(1994) |
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| 322 | ! |
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| 323 | do k = kts, kte |
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| 324 | do i = its, ite |
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| 325 | cpm(i,k) = cpmcal(q(i,k)) |
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| 326 | xl(i,k) = xlcal(t(i,k)) |
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| 327 | enddo |
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| 328 | enddo |
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| 329 | do k = kts, kte |
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| 330 | do i = its, ite |
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| 331 | delz_tmp(i,k) = delz(i,k) |
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| 332 | den_tmp(i,k) = den(i,k) |
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| 333 | enddo |
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| 334 | enddo |
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| 335 | ! |
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| 336 | !---------------------------------------------------------------- |
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| 337 | ! initialize the surface rain, snow |
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| 338 | ! |
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| 339 | do i = its, ite |
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| 340 | rainncv(i) = 0. |
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| 341 | if(PRESENT (snowncv) .AND. PRESENT (snow)) snowncv(i) = 0. |
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| 342 | sr(i) = 0. |
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| 343 | ! new local array to catch step snow |
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| 344 | tstepsnow(i) = 0. |
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| 345 | enddo |
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| 346 | ! |
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| 347 | !---------------------------------------------------------------- |
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| 348 | ! compute the minor time steps. |
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| 349 | ! |
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| 350 | loops = max(nint(delt/dtcldcr),1) |
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| 351 | dtcld = delt/loops |
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| 352 | if(delt.le.dtcldcr) dtcld = delt |
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| 353 | ! |
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| 354 | do loop = 1,loops |
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| 355 | ! |
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| 356 | !---------------------------------------------------------------- |
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| 357 | ! initialize the large scale variables |
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| 358 | ! |
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| 359 | do i = its, ite |
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| 360 | flgcld(i) = .true. |
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| 361 | enddo |
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| 362 | ! |
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| 363 | do k = kts, kte |
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| 364 | CALL VREC( tvec1(its), den(its,k), ite-its+1) |
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| 365 | do i = its, ite |
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| 366 | tvec1(i) = tvec1(i)*den0 |
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| 367 | enddo |
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| 368 | CALL VSQRT( denfac(its,k), tvec1(its), ite-its+1) |
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| 369 | enddo |
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| 370 | ! |
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| 371 | ! Inline expansion for fpvs |
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| 372 | ! qs(i,k) = fpvs(t(i,k),1,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c) |
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| 373 | ! qs0(i,k) = fpvs(t(i,k),0,rd,rv,cpv,cliq,cice,xlv0,xls,psat,t0c) |
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| 374 | cvap = cpv |
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| 375 | hvap=xlv0 |
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| 376 | hsub=xls |
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| 377 | ttp=t0c+0.01 |
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| 378 | dldt=cvap-cliq |
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| 379 | xa=-dldt/rv |
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| 380 | xb=xa+hvap/(rv*ttp) |
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| 381 | dldti=cvap-cice |
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| 382 | xai=-dldti/rv |
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| 383 | xbi=xai+hsub/(rv*ttp) |
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| 384 | do k = kts, kte |
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| 385 | do i = its, ite |
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| 386 | tr=ttp/t(i,k) |
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| 387 | if(t(i,k).lt.ttp) then |
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| 388 | qs(i,k) =psat*(exp(log(tr)*(xai)))*exp(xbi*(1.-tr)) |
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| 389 | else |
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| 390 | qs(i,k) =psat*(exp(log(tr)*(xa)))*exp(xb*(1.-tr)) |
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| 391 | endif |
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| 392 | qs0(i,k) =psat*(exp(log(tr)*(xa)))*exp(xb*(1.-tr)) |
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| 393 | qs0(i,k) = (qs0(i,k)-qs(i,k))/qs(i,k) |
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| 394 | qs(i,k) = min(qs(i,k),0.99*p(i,k)) |
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| 395 | qs(i,k) = ep2 * qs(i,k) / (p(i,k) - qs(i,k)) |
|---|
| 396 | qs(i,k) = max(qs(i,k),qmin) |
|---|
| 397 | rh(i,k) = max(q(i,k) / qs(i,k),qmin) |
|---|
| 398 | enddo |
|---|
| 399 | enddo |
|---|
| 400 | ! |
|---|
| 401 | !---------------------------------------------------------------- |
|---|
| 402 | ! initialize the variables for microphysical physics |
|---|
| 403 | ! |
|---|
| 404 | ! |
|---|
| 405 | do k = kts, kte |
|---|
| 406 | do i = its, ite |
|---|
| 407 | pres(i,k) = 0. |
|---|
| 408 | paut(i,k) = 0. |
|---|
| 409 | pacr(i,k) = 0. |
|---|
| 410 | pgen(i,k) = 0. |
|---|
| 411 | pisd(i,k) = 0. |
|---|
| 412 | pcon(i,k) = 0. |
|---|
| 413 | fall(i,k) = 0. |
|---|
| 414 | falk(i,k) = 0. |
|---|
| 415 | fallc(i,k) = 0. |
|---|
| 416 | falkc(i,k) = 0. |
|---|
| 417 | xni(i,k) = 1.e3 |
|---|
| 418 | enddo |
|---|
| 419 | enddo |
|---|
| 420 | !------------------------------------------------------------- |
|---|
| 421 | ! Ni: ice crystal number concentraiton [HDC 5c] |
|---|
| 422 | !------------------------------------------------------------- |
|---|
| 423 | do k = kts, kte |
|---|
| 424 | do i = its, ite |
|---|
| 425 | xni(i,k) = min(max(5.38e7 & |
|---|
| 426 | *exp(log((den(i,k)*max(qci(i,k),qmin)))*(0.75)),1.e3),1.e6) |
|---|
| 427 | enddo |
|---|
| 428 | enddo |
|---|
| 429 | ! |
|---|
| 430 | !---------------------------------------------------------------- |
|---|
| 431 | ! compute the fallout term: |
|---|
| 432 | ! first, vertical terminal velosity for minor loops |
|---|
| 433 | !--------------------------------------------------------------- |
|---|
| 434 | do k = kts, kte |
|---|
| 435 | do i = its, ite |
|---|
| 436 | qrs_tmp(i,k) = qrs(i,k) |
|---|
| 437 | enddo |
|---|
| 438 | enddo |
|---|
| 439 | call slope_wsm3(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, & |
|---|
| 440 | work1,its,ite,kts,kte) |
|---|
| 441 | ! |
|---|
| 442 | ! |
|---|
| 443 | ! forward semi-laglangian scheme (JH), PCM (piecewise constant), (linear) |
|---|
| 444 | ! |
|---|
| 445 | do k = kte, kts, -1 |
|---|
| 446 | do i = its, ite |
|---|
| 447 | denqrs(i,k) = den(i,k)*qrs(i,k) |
|---|
| 448 | enddo |
|---|
| 449 | enddo |
|---|
| 450 | call nislfv_rain_plm(idim,kdim,den_tmp,denfac,t,delz_tmp,work1,denqrs, & |
|---|
| 451 | delqrs,dtcld,1,1) |
|---|
| 452 | do k = kts, kte |
|---|
| 453 | do i = its, ite |
|---|
| 454 | qrs(i,k) = max(denqrs(i,k)/den(i,k),0.) |
|---|
| 455 | fall(i,k) = denqrs(i,k)*work1(i,k)/delz(i,k) |
|---|
| 456 | enddo |
|---|
| 457 | enddo |
|---|
| 458 | do i = its, ite |
|---|
| 459 | fall(i,1) = delqrs(i)/delz(i,1)/dtcld |
|---|
| 460 | enddo |
|---|
| 461 | !--------------------------------------------------------------- |
|---|
| 462 | ! Vice [ms-1] : fallout of ice crystal [HDC 5a] |
|---|
| 463 | !--------------------------------------------------------------- |
|---|
| 464 | do k = kte, kts, -1 |
|---|
| 465 | do i = its, ite |
|---|
| 466 | if(t(i,k).lt.t0c.and.qci(i,k).gt.0.) then |
|---|
| 467 | xmi = den(i,k)*qci(i,k)/xni(i,k) |
|---|
| 468 | diameter = max(dicon * sqrt(xmi), 1.e-25) |
|---|
| 469 | work1c(i,k) = 1.49e4*exp(log(diameter)*(1.31)) |
|---|
| 470 | else |
|---|
| 471 | work1c(i,k) = 0. |
|---|
| 472 | endif |
|---|
| 473 | enddo |
|---|
| 474 | enddo |
|---|
| 475 | ! |
|---|
| 476 | ! forward semi-laglangian scheme (JH), PCM (piecewise constant), (linear) |
|---|
| 477 | ! |
|---|
| 478 | do k = kte, kts, -1 |
|---|
| 479 | do i = its, ite |
|---|
| 480 | denqci(i,k) = den(i,k)*qci(i,k) |
|---|
| 481 | enddo |
|---|
| 482 | enddo |
|---|
| 483 | call nislfv_rain_plm(idim,kdim,den_tmp,denfac,t,delz_tmp,work1c,denqci, & |
|---|
| 484 | delqi,dtcld,1,0) |
|---|
| 485 | do k = kts, kte |
|---|
| 486 | do i = its, ite |
|---|
| 487 | qci(i,k) = max(denqci(i,k)/den(i,k),0.) |
|---|
| 488 | enddo |
|---|
| 489 | enddo |
|---|
| 490 | do i = its, ite |
|---|
| 491 | fallc(i,1) = delqi(i)/delz(i,1)/dtcld |
|---|
| 492 | enddo |
|---|
| 493 | ! |
|---|
| 494 | !---------------------------------------------------------------- |
|---|
| 495 | ! compute the freezing/melting term. [D89 B16-B17] |
|---|
| 496 | ! freezing occurs one layer above the melting level |
|---|
| 497 | ! |
|---|
| 498 | do i = its, ite |
|---|
| 499 | mstep(i) = 0 |
|---|
| 500 | enddo |
|---|
| 501 | do k = kts, kte |
|---|
| 502 | ! |
|---|
| 503 | do i = its, ite |
|---|
| 504 | if(t(i,k).ge.t0c) then |
|---|
| 505 | mstep(i) = k |
|---|
| 506 | endif |
|---|
| 507 | enddo |
|---|
| 508 | enddo |
|---|
| 509 | ! |
|---|
| 510 | do i = its, ite |
|---|
| 511 | kwork2(i) = mstep(i) |
|---|
| 512 | kwork1(i) = mstep(i) |
|---|
| 513 | if(mstep(i).ne.0) then |
|---|
| 514 | if (w(i,mstep(i)).gt.0.) then |
|---|
| 515 | kwork1(i) = mstep(i) + 1 |
|---|
| 516 | endif |
|---|
| 517 | endif |
|---|
| 518 | enddo |
|---|
| 519 | ! |
|---|
| 520 | do i = its, ite |
|---|
| 521 | k = kwork1(i) |
|---|
| 522 | kk = kwork2(i) |
|---|
| 523 | if(k*kk.ge.1) then |
|---|
| 524 | qrsci = qrs(i,k) + qci(i,k) |
|---|
| 525 | if(qrsci.gt.0..or.fall(i,kk).gt.0.) then |
|---|
| 526 | frzmlt = min(max(-w(i,k)*qrsci/delz(i,k),-qrsci/dtcld), & |
|---|
| 527 | qrsci/dtcld) |
|---|
| 528 | snomlt = min(max(fall(i,kk)/den(i,kk),-qrs(i,k)/dtcld), & |
|---|
| 529 | qrs(i,k)/dtcld) |
|---|
| 530 | if(k.eq.kk) then |
|---|
| 531 | t(i,k) = t(i,k) - xlf0/cpm(i,k)*(frzmlt+snomlt)*dtcld |
|---|
| 532 | else |
|---|
| 533 | t(i,k) = t(i,k) - xlf0/cpm(i,k)*frzmlt*dtcld |
|---|
| 534 | t(i,kk) = t(i,kk) - xlf0/cpm(i,kk)*snomlt*dtcld |
|---|
| 535 | endif |
|---|
| 536 | endif |
|---|
| 537 | endif |
|---|
| 538 | enddo |
|---|
| 539 | ! |
|---|
| 540 | !---------------------------------------------------------------- |
|---|
| 541 | ! rain (unit is mm/sec;kgm-2s-1: /1000*delt ===> m)==> mm for wrf |
|---|
| 542 | ! |
|---|
| 543 | do i = its, ite |
|---|
| 544 | fallsum = fall(i,1) |
|---|
| 545 | fallsum_qsi = 0. |
|---|
| 546 | if((t0c-t(i,1)).gt.0) then |
|---|
| 547 | fallsum = fallsum+fallc(i,1) |
|---|
| 548 | fallsum_qsi = fall(i,1)+fallc(i,1) |
|---|
| 549 | endif |
|---|
| 550 | if(fallsum.gt.0.) then |
|---|
| 551 | rainncv(i) = fallsum*delz(i,1)/denr*dtcld*1000. + rainncv(i) |
|---|
| 552 | rain(i) = fallsum*delz(i,1)/denr*dtcld*1000. + rain(i) |
|---|
| 553 | endif |
|---|
| 554 | if(fallsum_qsi.gt.0.) then |
|---|
| 555 | tstepsnow(i) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. & |
|---|
| 556 | +tstepsnow(i) |
|---|
| 557 | IF ( PRESENT (snowncv) .AND. PRESENT (snow)) THEN |
|---|
| 558 | snowncv(i) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. + snowncv(i) |
|---|
| 559 | snow(i) = fallsum_qsi*delz(i,kts)/denr*dtcld*1000. + snow(i) |
|---|
| 560 | ENDIF |
|---|
| 561 | endif |
|---|
| 562 | ! if(fallsum.gt.0.) sr(i) = snowncv(i)/(rainncv(i)+1.e-12) |
|---|
| 563 | if(fallsum.gt.0.) sr(i) = tstepsnow(i)/(rainncv(i)+1.e-12) |
|---|
| 564 | enddo |
|---|
| 565 | ! |
|---|
| 566 | !---------------------------------------------------------------- |
|---|
| 567 | ! update the slope parameters for microphysics computation |
|---|
| 568 | ! |
|---|
| 569 | do k = kts, kte |
|---|
| 570 | do i = its, ite |
|---|
| 571 | qrs_tmp(i,k) = qrs(i,k) |
|---|
| 572 | enddo |
|---|
| 573 | enddo |
|---|
| 574 | call slope_wsm3(qrs_tmp,den_tmp,denfac,t,rslope,rslopeb,rslope2,rslope3, & |
|---|
| 575 | work1,its,ite,kts,kte) |
|---|
| 576 | ! |
|---|
| 577 | ! work1: the thermodynamic term in the denominator associated with |
|---|
| 578 | ! heat conduction and vapor diffusion |
|---|
| 579 | ! work2: parameter associated with the ventilation effects(y93) |
|---|
| 580 | ! |
|---|
| 581 | do k = kts, kte |
|---|
| 582 | do i = its, ite |
|---|
| 583 | if(t(i,k).ge.t0c) then |
|---|
| 584 | work1(i,k) = diffac(xl(i,k),p(i,k),t(i,k),den(i,k),qs(i,k)) |
|---|
| 585 | else |
|---|
| 586 | work1(i,k) = diffac(xls,p(i,k),t(i,k),den(i,k),qs(i,k)) |
|---|
| 587 | endif |
|---|
| 588 | work2(i,k) = venfac(p(i,k),t(i,k),den(i,k)) |
|---|
| 589 | enddo |
|---|
| 590 | enddo |
|---|
| 591 | ! |
|---|
| 592 | do k = kts, kte |
|---|
| 593 | do i = its, ite |
|---|
| 594 | supsat = max(q(i,k),qmin)-qs(i,k) |
|---|
| 595 | satdt = supsat/dtcld |
|---|
| 596 | if(t(i,k).ge.t0c) then |
|---|
| 597 | ! |
|---|
| 598 | !=============================================================== |
|---|
| 599 | ! |
|---|
| 600 | ! warm rain processes |
|---|
| 601 | ! |
|---|
| 602 | ! - follows the processes in RH83 and LFO except for autoconcersion |
|---|
| 603 | ! |
|---|
| 604 | !=============================================================== |
|---|
| 605 | !--------------------------------------------------------------- |
|---|
| 606 | ! praut: auto conversion rate from cloud to rain [HDC 16] |
|---|
| 607 | ! (C->R) |
|---|
| 608 | !--------------------------------------------------------------- |
|---|
| 609 | if(qci(i,k).gt.qc0) then |
|---|
| 610 | ! paut(i,k) = qck1*qci(i,k)**(7./3.) |
|---|
| 611 | paut(i,k) = qck1*exp(log(qci(i,k))*((7./3.))) |
|---|
| 612 | paut(i,k) = min(paut(i,k),qci(i,k)/dtcld) |
|---|
| 613 | endif |
|---|
| 614 | !--------------------------------------------------------------- |
|---|
| 615 | ! pracw: accretion of cloud water by rain [HL A40] [D89 B15] |
|---|
| 616 | ! (C->R) |
|---|
| 617 | !--------------------------------------------------------------- |
|---|
| 618 | if(qrs(i,k).gt.qcrmin.and.qci(i,k).gt.qmin) then |
|---|
| 619 | pacr(i,k) = min(pacrr*rslope3(i,k)*rslopeb(i,k) & |
|---|
| 620 | *qci(i,k)*denfac(i,k),qci(i,k)/dtcld) |
|---|
| 621 | endif |
|---|
| 622 | !--------------------------------------------------------------- |
|---|
| 623 | ! prevp: evaporation/condensation rate of rain [HDC 14] |
|---|
| 624 | ! (V->R or R->V) |
|---|
| 625 | !--------------------------------------------------------------- |
|---|
| 626 | if(qrs(i,k).gt.0.) then |
|---|
| 627 | coeres = rslope2(i,k)*sqrt(rslope(i,k)*rslopeb(i,k)) |
|---|
| 628 | pres(i,k) = (rh(i,k)-1.)*(precr1*rslope2(i,k) & |
|---|
| 629 | +precr2*work2(i,k)*coeres)/work1(i,k) |
|---|
| 630 | if(pres(i,k).lt.0.) then |
|---|
| 631 | pres(i,k) = max(pres(i,k),-qrs(i,k)/dtcld) |
|---|
| 632 | pres(i,k) = max(pres(i,k),satdt/2) |
|---|
| 633 | else |
|---|
| 634 | pres(i,k) = min(pres(i,k),satdt/2) |
|---|
| 635 | endif |
|---|
| 636 | endif |
|---|
| 637 | else |
|---|
| 638 | ! |
|---|
| 639 | !=============================================================== |
|---|
| 640 | ! |
|---|
| 641 | ! cold rain processes |
|---|
| 642 | ! |
|---|
| 643 | ! - follows the revised ice microphysics processes in HDC |
|---|
| 644 | ! - the processes same as in RH83 and LFO behave |
|---|
| 645 | ! following ice crystal hapits defined in HDC, inclduing |
|---|
| 646 | ! intercept parameter for snow (n0s), ice crystal number |
|---|
| 647 | ! concentration (ni), ice nuclei number concentration |
|---|
| 648 | ! (n0i), ice diameter (d) |
|---|
| 649 | ! |
|---|
| 650 | !=============================================================== |
|---|
| 651 | ! |
|---|
| 652 | supcol = t0c-t(i,k) |
|---|
| 653 | n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.) |
|---|
| 654 | ifsat = 0 |
|---|
| 655 | !------------------------------------------------------------- |
|---|
| 656 | ! Ni: ice crystal number concentraiton [HDC 5c] |
|---|
| 657 | !------------------------------------------------------------- |
|---|
| 658 | xni(i,k) = min(max(5.38e7 & |
|---|
| 659 | *exp(log((den(i,k)*max(qci(i,k),qmin)))*(0.75)),1.e3),1.e6) |
|---|
| 660 | eacrs = exp(0.07*(-supcol)) |
|---|
| 661 | if(qrs(i,k).gt.qcrmin.and.qci(i,k).gt.qmin) then |
|---|
| 662 | xmi = den(i,k)*qci(i,k)/xni(i,k) |
|---|
| 663 | diameter = min(dicon * sqrt(xmi),dimax) |
|---|
| 664 | vt2i = 1.49e4*diameter**1.31 |
|---|
| 665 | vt2s = pvts*rslopeb(i,k)*denfac(i,k) |
|---|
| 666 | !------------------------------------------------------------- |
|---|
| 667 | ! praci: Accretion of cloud ice by rain [HL A15] [LFO 25] |
|---|
| 668 | ! (T<T0: I->R) |
|---|
| 669 | !------------------------------------------------------------- |
|---|
| 670 | acrfac = 2.*rslope3(i,k)+2.*diameter*rslope2(i,k) & |
|---|
| 671 | +diameter**2*rslope(i,k) |
|---|
| 672 | pacr(i,k) = min(pi*qci(i,k)*eacrs*n0s*n0sfac(i,k) & |
|---|
| 673 | *abs(vt2s-vt2i)*acrfac/4.,qci(i,k)/dtcld) |
|---|
| 674 | endif |
|---|
| 675 | !------------------------------------------------------------- |
|---|
| 676 | ! pidep: Deposition/Sublimation rate of ice [HDC 9] |
|---|
| 677 | ! (T<T0: V->I or I->V) |
|---|
| 678 | !------------------------------------------------------------- |
|---|
| 679 | if(qci(i,k).gt.0.) then |
|---|
| 680 | xmi = den(i,k)*qci(i,k)/xni(i,k) |
|---|
| 681 | diameter = dicon * sqrt(xmi) |
|---|
| 682 | pisd(i,k) = 4.*diameter*xni(i,k)*(rh(i,k)-1.)/work1(i,k) |
|---|
| 683 | if(pisd(i,k).lt.0.) then |
|---|
| 684 | pisd(i,k) = max(pisd(i,k),satdt/2) |
|---|
| 685 | pisd(i,k) = max(pisd(i,k),-qci(i,k)/dtcld) |
|---|
| 686 | else |
|---|
| 687 | pisd(i,k) = min(pisd(i,k),satdt/2) |
|---|
| 688 | endif |
|---|
| 689 | if(abs(pisd(i,k)).ge.abs(satdt)) ifsat = 1 |
|---|
| 690 | endif |
|---|
| 691 | !------------------------------------------------------------- |
|---|
| 692 | ! psdep: deposition/sublimation rate of snow [HDC 14] |
|---|
| 693 | ! (V->S or S->V) |
|---|
| 694 | !------------------------------------------------------------- |
|---|
| 695 | if(qrs(i,k).gt.0..and.ifsat.ne.1) then |
|---|
| 696 | coeres = rslope2(i,k)*sqrt(rslope(i,k)*rslopeb(i,k)) |
|---|
| 697 | pres(i,k) = (rh(i,k)-1.)*n0sfac(i,k)*(precs1*rslope2(i,k) & |
|---|
| 698 | +precs2*work2(i,k)*coeres)/work1(i,k) |
|---|
| 699 | supice = satdt-pisd(i,k) |
|---|
| 700 | if(pres(i,k).lt.0.) then |
|---|
| 701 | pres(i,k) = max(pres(i,k),-qrs(i,k)/dtcld) |
|---|
| 702 | pres(i,k) = max(max(pres(i,k),satdt/2),supice) |
|---|
| 703 | else |
|---|
| 704 | pres(i,k) = min(min(pres(i,k),satdt/2),supice) |
|---|
| 705 | endif |
|---|
| 706 | if(abs(pisd(i,k)+pres(i,k)).ge.abs(satdt)) ifsat = 1 |
|---|
| 707 | endif |
|---|
| 708 | !------------------------------------------------------------- |
|---|
| 709 | ! pigen: generation(nucleation) of ice from vapor [HDC 7-8] |
|---|
| 710 | ! (T<T0: V->I) |
|---|
| 711 | !------------------------------------------------------------- |
|---|
| 712 | if(supsat.gt.0.and.ifsat.ne.1) then |
|---|
| 713 | supice = satdt-pisd(i,k)-pres(i,k) |
|---|
| 714 | xni0 = 1.e3*exp(0.1*supcol) |
|---|
| 715 | roqi0 = 4.92e-11*exp(log(xni0)*(1.33)) |
|---|
| 716 | pgen(i,k) = max(0.,(roqi0/den(i,k)-max(qci(i,k),0.))/dtcld) |
|---|
| 717 | pgen(i,k) = min(min(pgen(i,k),satdt),supice) |
|---|
| 718 | endif |
|---|
| 719 | !------------------------------------------------------------- |
|---|
| 720 | ! psaut: conversion(aggregation) of ice to snow [HDC 12] |
|---|
| 721 | ! (T<T0: I->S) |
|---|
| 722 | !------------------------------------------------------------- |
|---|
| 723 | if(qci(i,k).gt.0.) then |
|---|
| 724 | qimax = roqimax/den(i,k) |
|---|
| 725 | paut(i,k) = max(0.,(qci(i,k)-qimax)/dtcld) |
|---|
| 726 | endif |
|---|
| 727 | endif |
|---|
| 728 | enddo |
|---|
| 729 | enddo |
|---|
| 730 | ! |
|---|
| 731 | !---------------------------------------------------------------- |
|---|
| 732 | ! check mass conservation of generation terms and feedback to the |
|---|
| 733 | ! large scale |
|---|
| 734 | ! |
|---|
| 735 | do k = kts, kte |
|---|
| 736 | do i = its, ite |
|---|
| 737 | qciik = max(qmin,qci(i,k)) |
|---|
| 738 | delqci = (paut(i,k)+pacr(i,k)-pgen(i,k)-pisd(i,k))*dtcld |
|---|
| 739 | if(delqci.ge.qciik) then |
|---|
| 740 | facqci = qciik/delqci |
|---|
| 741 | paut(i,k) = paut(i,k)*facqci |
|---|
| 742 | pacr(i,k) = pacr(i,k)*facqci |
|---|
| 743 | pgen(i,k) = pgen(i,k)*facqci |
|---|
| 744 | pisd(i,k) = pisd(i,k)*facqci |
|---|
| 745 | endif |
|---|
| 746 | qik = max(qmin,q(i,k)) |
|---|
| 747 | delq = (pres(i,k)+pgen(i,k)+pisd(i,k))*dtcld |
|---|
| 748 | if(delq.ge.qik) then |
|---|
| 749 | facq = qik/delq |
|---|
| 750 | pres(i,k) = pres(i,k)*facq |
|---|
| 751 | pgen(i,k) = pgen(i,k)*facq |
|---|
| 752 | pisd(i,k) = pisd(i,k)*facq |
|---|
| 753 | endif |
|---|
| 754 | work2(i,k) = -pres(i,k)-pgen(i,k)-pisd(i,k) |
|---|
| 755 | q(i,k) = q(i,k)+work2(i,k)*dtcld |
|---|
| 756 | qci(i,k) = max(qci(i,k)-(paut(i,k)+pacr(i,k)-pgen(i,k)-pisd(i,k)) & |
|---|
| 757 | *dtcld,0.) |
|---|
| 758 | qrs(i,k) = max(qrs(i,k)+(paut(i,k)+pacr(i,k)+pres(i,k))*dtcld,0.) |
|---|
| 759 | if(t(i,k).lt.t0c) then |
|---|
| 760 | t(i,k) = t(i,k)-xls*work2(i,k)/cpm(i,k)*dtcld |
|---|
| 761 | else |
|---|
| 762 | t(i,k) = t(i,k)-xl(i,k)*work2(i,k)/cpm(i,k)*dtcld |
|---|
| 763 | endif |
|---|
| 764 | enddo |
|---|
| 765 | enddo |
|---|
| 766 | ! |
|---|
| 767 | cvap = cpv |
|---|
| 768 | hvap = xlv0 |
|---|
| 769 | hsub = xls |
|---|
| 770 | ttp=t0c+0.01 |
|---|
| 771 | dldt=cvap-cliq |
|---|
| 772 | xa=-dldt/rv |
|---|
| 773 | xb=xa+hvap/(rv*ttp) |
|---|
| 774 | dldti=cvap-cice |
|---|
| 775 | xai=-dldti/rv |
|---|
| 776 | xbi=xai+hsub/(rv*ttp) |
|---|
| 777 | do k = kts, kte |
|---|
| 778 | do i = its, ite |
|---|
| 779 | tr=ttp/t(i,k) |
|---|
| 780 | qs(i,k)=psat*(exp(log(tr)*(xa)))*exp(xb*(1.-tr)) |
|---|
| 781 | qs(i,k) = min(qs(i,k),0.99*p(i,k)) |
|---|
| 782 | qs(i,k) = ep2 * qs(i,k) / (p(i,k) - qs(i,k)) |
|---|
| 783 | qs(i,k) = max(qs(i,k),qmin) |
|---|
| 784 | denfac(i,k) = sqrt(den0/den(i,k)) |
|---|
| 785 | enddo |
|---|
| 786 | enddo |
|---|
| 787 | ! |
|---|
| 788 | !---------------------------------------------------------------- |
|---|
| 789 | ! pcond: condensational/evaporational rate of cloud water [HL A46] [RH83 A6] |
|---|
| 790 | ! if there exists additional water vapor condensated/if |
|---|
| 791 | ! evaporation of cloud water is not enough to remove subsaturation |
|---|
| 792 | ! |
|---|
| 793 | do k = kts, kte |
|---|
| 794 | do i = its, ite |
|---|
| 795 | work1(i,k) = conden(t(i,k),q(i,k),qs(i,k),xl(i,k),cpm(i,k)) |
|---|
| 796 | work2(i,k) = qci(i,k)+work1(i,k) |
|---|
| 797 | pcon(i,k) = min(max(work1(i,k),0.),max(q(i,k),0.))/dtcld |
|---|
| 798 | if(qci(i,k).gt.0..and.work1(i,k).lt.0.and.t(i,k).gt.t0c) & |
|---|
| 799 | pcon(i,k) = max(work1(i,k),-qci(i,k))/dtcld |
|---|
| 800 | q(i,k) = q(i,k)-pcon(i,k)*dtcld |
|---|
| 801 | qci(i,k) = max(qci(i,k)+pcon(i,k)*dtcld,0.) |
|---|
| 802 | t(i,k) = t(i,k)+pcon(i,k)*xl(i,k)/cpm(i,k)*dtcld |
|---|
| 803 | enddo |
|---|
| 804 | enddo |
|---|
| 805 | ! |
|---|
| 806 | !---------------------------------------------------------------- |
|---|
| 807 | ! padding for small values |
|---|
| 808 | ! |
|---|
| 809 | do k = kts, kte |
|---|
| 810 | do i = its, ite |
|---|
| 811 | if(qci(i,k).le.qmin) qci(i,k) = 0.0 |
|---|
| 812 | if(qrs(i,k).le.qcrmin) qrs(i,k) = 0.0 |
|---|
| 813 | enddo |
|---|
| 814 | enddo |
|---|
| 815 | ! |
|---|
| 816 | enddo ! big loops |
|---|
| 817 | END SUBROUTINE wsm32D |
|---|
| 818 | ! ................................................................... |
|---|
| 819 | REAL FUNCTION rgmma(x) |
|---|
| 820 | !------------------------------------------------------------------- |
|---|
| 821 | IMPLICIT NONE |
|---|
| 822 | !------------------------------------------------------------------- |
|---|
| 823 | ! rgmma function: use infinite product form |
|---|
| 824 | REAL :: euler |
|---|
| 825 | PARAMETER (euler=0.577215664901532) |
|---|
| 826 | REAL :: x, y |
|---|
| 827 | INTEGER :: i |
|---|
| 828 | if(x.eq.1.)then |
|---|
| 829 | rgmma=0. |
|---|
| 830 | else |
|---|
| 831 | rgmma=x*exp(euler*x) |
|---|
| 832 | do i=1,10000 |
|---|
| 833 | y=float(i) |
|---|
| 834 | rgmma=rgmma*(1.000+x/y)*exp(-x/y) |
|---|
| 835 | enddo |
|---|
| 836 | rgmma=1./rgmma |
|---|
| 837 | endif |
|---|
| 838 | END FUNCTION rgmma |
|---|
| 839 | ! |
|---|
| 840 | !-------------------------------------------------------------------------- |
|---|
| 841 | REAL FUNCTION fpvs(t,ice,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c) |
|---|
| 842 | !-------------------------------------------------------------------------- |
|---|
| 843 | IMPLICIT NONE |
|---|
| 844 | !-------------------------------------------------------------------------- |
|---|
| 845 | REAL t,rd,rv,cvap,cliq,cice,hvap,hsub,psat,t0c,dldt,xa,xb,dldti, & |
|---|
| 846 | xai,xbi,ttp,tr |
|---|
| 847 | INTEGER ice |
|---|
| 848 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
|---|
| 849 | ttp=t0c+0.01 |
|---|
| 850 | dldt=cvap-cliq |
|---|
| 851 | xa=-dldt/rv |
|---|
| 852 | xb=xa+hvap/(rv*ttp) |
|---|
| 853 | dldti=cvap-cice |
|---|
| 854 | xai=-dldti/rv |
|---|
| 855 | xbi=xai+hsub/(rv*ttp) |
|---|
| 856 | tr=ttp/t |
|---|
| 857 | if(t.lt.ttp.and.ice.eq.1) then |
|---|
| 858 | fpvs=psat*(tr**xai)*exp(xbi*(1.-tr)) |
|---|
| 859 | else |
|---|
| 860 | fpvs=psat*(tr**xa)*exp(xb*(1.-tr)) |
|---|
| 861 | endif |
|---|
| 862 | ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
|---|
| 863 | END FUNCTION fpvs |
|---|
| 864 | !------------------------------------------------------------------- |
|---|
| 865 | SUBROUTINE wsm3init(den0,denr,dens,cl,cpv,allowed_to_read) |
|---|
| 866 | !------------------------------------------------------------------- |
|---|
| 867 | IMPLICIT NONE |
|---|
| 868 | !------------------------------------------------------------------- |
|---|
| 869 | !.... constants which may not be tunable |
|---|
| 870 | REAL, INTENT(IN) :: den0,denr,dens,cl,cpv |
|---|
| 871 | LOGICAL, INTENT(IN) :: allowed_to_read |
|---|
| 872 | ! |
|---|
| 873 | pi = 4.*atan(1.) |
|---|
| 874 | xlv1 = cl-cpv |
|---|
| 875 | ! |
|---|
| 876 | qc0 = 4./3.*pi*denr*r0**3*xncr/den0 ! 0.419e-3 -- .61e-3 |
|---|
| 877 | qck1 = .104*9.8*peaut/(xncr*denr)**(1./3.)/xmyu*den0**(4./3.) ! 7.03 |
|---|
| 878 | ! |
|---|
| 879 | bvtr1 = 1.+bvtr |
|---|
| 880 | bvtr2 = 2.5+.5*bvtr |
|---|
| 881 | bvtr3 = 3.+bvtr |
|---|
| 882 | bvtr4 = 4.+bvtr |
|---|
| 883 | g1pbr = rgmma(bvtr1) |
|---|
| 884 | g3pbr = rgmma(bvtr3) |
|---|
| 885 | g4pbr = rgmma(bvtr4) ! 17.837825 |
|---|
| 886 | g5pbro2 = rgmma(bvtr2) ! 1.8273 |
|---|
| 887 | pvtr = avtr*g4pbr/6. |
|---|
| 888 | eacrr = 1.0 |
|---|
| 889 | pacrr = pi*n0r*avtr*g3pbr*.25*eacrr |
|---|
| 890 | precr1 = 2.*pi*n0r*.78 |
|---|
| 891 | precr2 = 2.*pi*n0r*.31*avtr**.5*g5pbro2 |
|---|
| 892 | xmmax = (dimax/dicon)**2 |
|---|
| 893 | roqimax = 2.08e22*dimax**8 |
|---|
| 894 | ! |
|---|
| 895 | bvts1 = 1.+bvts |
|---|
| 896 | bvts2 = 2.5+.5*bvts |
|---|
| 897 | bvts3 = 3.+bvts |
|---|
| 898 | bvts4 = 4.+bvts |
|---|
| 899 | g1pbs = rgmma(bvts1) !.8875 |
|---|
| 900 | g3pbs = rgmma(bvts3) |
|---|
| 901 | g4pbs = rgmma(bvts4) ! 12.0786 |
|---|
| 902 | g5pbso2 = rgmma(bvts2) |
|---|
| 903 | pvts = avts*g4pbs/6. |
|---|
| 904 | pacrs = pi*n0s*avts*g3pbs*.25 |
|---|
| 905 | precs1 = 4.*n0s*.65 |
|---|
| 906 | precs2 = 4.*n0s*.44*avts**.5*g5pbso2 |
|---|
| 907 | pidn0r = pi*denr*n0r |
|---|
| 908 | pidn0s = pi*dens*n0s |
|---|
| 909 | ! |
|---|
| 910 | rslopermax = 1./lamdarmax |
|---|
| 911 | rslopesmax = 1./lamdasmax |
|---|
| 912 | rsloperbmax = rslopermax ** bvtr |
|---|
| 913 | rslopesbmax = rslopesmax ** bvts |
|---|
| 914 | rsloper2max = rslopermax * rslopermax |
|---|
| 915 | rslopes2max = rslopesmax * rslopesmax |
|---|
| 916 | rsloper3max = rsloper2max * rslopermax |
|---|
| 917 | rslopes3max = rslopes2max * rslopesmax |
|---|
| 918 | ! |
|---|
| 919 | END SUBROUTINE wsm3init |
|---|
| 920 | ! |
|---|
| 921 | subroutine slope_wsm3(qrs,den,denfac,t,rslope,rslopeb,rslope2,rslope3,vt,its,ite,kts,kte) |
|---|
| 922 | IMPLICIT NONE |
|---|
| 923 | INTEGER :: its,ite, jts,jte, kts,kte |
|---|
| 924 | REAL, DIMENSION( its:ite , kts:kte ) :: & |
|---|
| 925 | qrs, & |
|---|
| 926 | den, & |
|---|
| 927 | denfac, & |
|---|
| 928 | t, & |
|---|
| 929 | rslope, & |
|---|
| 930 | rslopeb, & |
|---|
| 931 | rslope2, & |
|---|
| 932 | rslope3, & |
|---|
| 933 | vt |
|---|
| 934 | REAL, PARAMETER :: t0c = 273.15 |
|---|
| 935 | REAL, DIMENSION( its:ite , kts:kte ) :: & |
|---|
| 936 | n0sfac |
|---|
| 937 | REAL :: lamdar,lamdas,x, y, z, supcol, pvt |
|---|
| 938 | integer :: i, j, k |
|---|
| 939 | !---------------------------------------------------------------- |
|---|
| 940 | ! size distributions: (x=mixing ratio, y=air density): |
|---|
| 941 | ! valid for mixing ratio > 1.e-9 kg/kg. |
|---|
| 942 | ! |
|---|
| 943 | lamdar(x,y)= sqrt(sqrt(pidn0r/(x*y))) ! (pidn0r/(x*y))**.25 |
|---|
| 944 | lamdas(x,y,z)= sqrt(sqrt(pidn0s*z/(x*y))) ! (pidn0s*z/(x*y))**.25 |
|---|
| 945 | ! |
|---|
| 946 | do k = kts, kte |
|---|
| 947 | do i = its, ite |
|---|
| 948 | if(t(i,k).ge.t0c) then |
|---|
| 949 | pvt = pvtr |
|---|
| 950 | if(qrs(i,k).le.qcrmin)then |
|---|
| 951 | rslope(i,k) = rslopermax |
|---|
| 952 | rslopeb(i,k) = rsloperbmax |
|---|
| 953 | rslope2(i,k) = rsloper2max |
|---|
| 954 | rslope3(i,k) = rsloper3max |
|---|
| 955 | else |
|---|
| 956 | rslope(i,k) = 1./lamdar(qrs(i,k),den(i,k)) |
|---|
| 957 | rslopeb(i,k) = exp(log(rslope(i,k))*(bvtr)) |
|---|
| 958 | rslope2(i,k) = rslope(i,k)*rslope(i,k) |
|---|
| 959 | rslope3(i,k) = rslope2(i,k)*rslope(i,k) |
|---|
| 960 | endif |
|---|
| 961 | else |
|---|
| 962 | supcol = t0c-t(i,k) |
|---|
| 963 | n0sfac(i,k) = max(min(exp(alpha*supcol),n0smax/n0s),1.) |
|---|
| 964 | pvt = pvts |
|---|
| 965 | if(qrs(i,k).le.qcrmin)then |
|---|
| 966 | rslope(i,k) = rslopesmax |
|---|
| 967 | rslopeb(i,k) = rslopesbmax |
|---|
| 968 | rslope2(i,k) = rslopes2max |
|---|
| 969 | rslope3(i,k) = rslopes3max |
|---|
| 970 | else |
|---|
| 971 | rslope(i,k) = 1./lamdas(qrs(i,k),den(i,k),n0sfac(i,k)) |
|---|
| 972 | rslopeb(i,k) = exp(log(rslope(i,k))*(bvts)) |
|---|
| 973 | rslope2(i,k) = rslope(i,k)*rslope(i,k) |
|---|
| 974 | rslope3(i,k) = rslope2(i,k)*rslope(i,k) |
|---|
| 975 | endif |
|---|
| 976 | endif |
|---|
| 977 | vt(i,k) = pvt*rslopeb(i,k)*denfac(i,k) |
|---|
| 978 | if(qrs(i,k).le.0.0) vt(i,k) = 0.0 |
|---|
| 979 | enddo |
|---|
| 980 | enddo |
|---|
| 981 | END subroutine slope_wsm3 |
|---|
| 982 | !------------------------------------------------------------------- |
|---|
| 983 | SUBROUTINE nislfv_rain_pcm(im,km,denl,denfacl,tkl,dzl,wwl,rql,precip,dt,id,iter) |
|---|
| 984 | !------------------------------------------------------------------- |
|---|
| 985 | ! |
|---|
| 986 | ! for non-iteration semi-Lagrangain forward advection for cloud |
|---|
| 987 | ! with mass conservation and positive definite advection |
|---|
| 988 | ! 2nd order interpolation with monotonic piecewise linear method |
|---|
| 989 | ! this routine is under assumption of decfl < 1 for semi_Lagrangian |
|---|
| 990 | ! |
|---|
| 991 | ! dzl depth of model layer in meter |
|---|
| 992 | ! wwl terminal velocity at model layer m/s |
|---|
| 993 | ! rql cloud density*mixing ration |
|---|
| 994 | ! precip precipitation |
|---|
| 995 | ! dt time step |
|---|
| 996 | ! id kind of precip: 0 test case; 1 raindrop |
|---|
| 997 | ! iter how many time to guess mean terminal velocity: 0 pure forward. |
|---|
| 998 | ! 0 : use departure wind for advection |
|---|
| 999 | ! 1 : use mean wind for advection |
|---|
| 1000 | ! > 1 : use mean wind after iter-1 iterations |
|---|
| 1001 | ! |
|---|
| 1002 | ! author: hann-ming henry juang <henry.juang@noaa.gov> |
|---|
| 1003 | ! implemented by song-you hong |
|---|
| 1004 | ! |
|---|
| 1005 | implicit none |
|---|
| 1006 | integer im,km,id |
|---|
| 1007 | real dt |
|---|
| 1008 | real dzl(im,km),wwl(im,km),rql(im,km),precip(im) |
|---|
| 1009 | real denl(im,km),denfacl(im,km),tkl(im,km) |
|---|
| 1010 | ! |
|---|
| 1011 | integer i,k,n,m,kk,kb,kt,iter |
|---|
| 1012 | real tl,tl2,qql,dql,qqd |
|---|
| 1013 | real th,th2,qqh,dqh |
|---|
| 1014 | real zsum,qsum,dim,dip,c1,con1,fa1,fa2 |
|---|
| 1015 | real zsumt,qsumt,zsumb,qsumb |
|---|
| 1016 | real allold, allnew, zz, dzamin, cflmax, decfl |
|---|
| 1017 | real dz(km), ww(km), qq(km), wd(km), wa(km), was(km) |
|---|
| 1018 | real den(km), denfac(km), tk(km) |
|---|
| 1019 | real wi(km+1), zi(km+1), za(km+1) |
|---|
| 1020 | real qn(km), qr(km),tmp(km),tmp1(km),tmp2(km),tmp3(km) |
|---|
| 1021 | real dza(km+1), qa(km+1), qmi(km+1), qpi(km+1) |
|---|
| 1022 | ! |
|---|
| 1023 | precip(:) = 0.0 |
|---|
| 1024 | ! |
|---|
| 1025 | i_loop : do i=1,im |
|---|
| 1026 | ! ----------------------------------- |
|---|
| 1027 | dz(:) = dzl(i,:) |
|---|
| 1028 | qq(:) = rql(i,:) |
|---|
| 1029 | ww(:) = wwl(i,:) |
|---|
| 1030 | den(:) = denl(i,:) |
|---|
| 1031 | denfac(:) = denfacl(i,:) |
|---|
| 1032 | tk(:) = tkl(i,:) |
|---|
| 1033 | ! skip for no precipitation for all layers |
|---|
| 1034 | allold = 0.0 |
|---|
| 1035 | do k=1,km |
|---|
| 1036 | allold = allold + qq(k) |
|---|
| 1037 | enddo |
|---|
| 1038 | if(allold.le.0.0) then |
|---|
| 1039 | cycle i_loop |
|---|
| 1040 | endif |
|---|
| 1041 | ! |
|---|
| 1042 | ! compute interface values |
|---|
| 1043 | zi(1)=0.0 |
|---|
| 1044 | do k=1,km |
|---|
| 1045 | zi(k+1) = zi(k)+dz(k) |
|---|
| 1046 | enddo |
|---|
| 1047 | ! |
|---|
| 1048 | ! save departure wind |
|---|
| 1049 | wd(:) = ww(:) |
|---|
| 1050 | n=1 |
|---|
| 1051 | 100 continue |
|---|
| 1052 | ! pcm is 1st order, we should use 2nd order wi |
|---|
| 1053 | ! 2nd order interpolation to get wi |
|---|
| 1054 | wi(1) = ww(1) |
|---|
| 1055 | do k=2,km |
|---|
| 1056 | wi(k) = (ww(k)*dz(k-1)+ww(k-1)*dz(k))/(dz(k-1)+dz(k)) |
|---|
| 1057 | enddo |
|---|
| 1058 | wi(km+1) = ww(km) |
|---|
| 1059 | ! |
|---|
| 1060 | ! terminate of top of raingroup |
|---|
| 1061 | do k=2,km |
|---|
| 1062 | if( ww(k).eq.0.0 ) wi(k)=ww(k-1) |
|---|
| 1063 | enddo |
|---|
| 1064 | ! |
|---|
| 1065 | ! diffusivity of wi |
|---|
| 1066 | con1 = 0.05 |
|---|
| 1067 | do k=km,1,-1 |
|---|
| 1068 | decfl = (wi(k+1)-wi(k))*dt/dz(k) |
|---|
| 1069 | if( decfl .gt. con1 ) then |
|---|
| 1070 | wi(k) = wi(k+1) - con1*dz(k)/dt |
|---|
| 1071 | endif |
|---|
| 1072 | enddo |
|---|
| 1073 | ! compute arrival point |
|---|
| 1074 | do k=1,km+1 |
|---|
| 1075 | za(k) = zi(k) - wi(k)*dt |
|---|
| 1076 | enddo |
|---|
| 1077 | ! |
|---|
| 1078 | do k=1,km |
|---|
| 1079 | dza(k) = za(k+1)-za(k) |
|---|
| 1080 | enddo |
|---|
| 1081 | dza(km+1) = zi(km+1) - za(km+1) |
|---|
| 1082 | ! |
|---|
| 1083 | ! computer deformation at arrival point |
|---|
| 1084 | do k=1,km |
|---|
| 1085 | qa(k) = qq(k)*dz(k)/dza(k) |
|---|
| 1086 | qr(k) = qa(k)/den(k) |
|---|
| 1087 | enddo |
|---|
| 1088 | qa(km+1) = 0.0 |
|---|
| 1089 | ! call maxmin(km,1,qa,' arrival points ') |
|---|
| 1090 | ! |
|---|
| 1091 | ! compute arrival terminal velocity, and estimate mean terminal velocity |
|---|
| 1092 | ! then back to use mean terminal velocity |
|---|
| 1093 | if( n.le.iter ) then |
|---|
| 1094 | call slope_wsm3(qr,den,denfac,tk,tmp,tmp1,tmp2,tmp3,wa,1,1,1,km) |
|---|
| 1095 | if( n.eq.2 ) wa(1:km) = 0.5*(wa(1:km)+was(1:km)) |
|---|
| 1096 | do k=1,km |
|---|
| 1097 | !#ifdef DEBUG |
|---|
| 1098 | ! print*,' slope_wsm3 ',qr(k)*1000.,den(k),denfac(k),tk(k),tmp(k),tmp1(k),tmp2(k),ww(k),wa(k) |
|---|
| 1099 | !#endif |
|---|
| 1100 | ! mean wind is average of departure and new arrival winds |
|---|
| 1101 | ww(k) = 0.5* ( wd(k)+wa(k) ) |
|---|
| 1102 | enddo |
|---|
| 1103 | was(:) = wa(:) |
|---|
| 1104 | n=n+1 |
|---|
| 1105 | go to 100 |
|---|
| 1106 | endif |
|---|
| 1107 | ! |
|---|
| 1108 | ! |
|---|
| 1109 | ! interpolation to regular point |
|---|
| 1110 | qn = 0.0 |
|---|
| 1111 | kb=1 |
|---|
| 1112 | kt=1 |
|---|
| 1113 | intp : do k=1,km |
|---|
| 1114 | kb=max(kb-1,1) |
|---|
| 1115 | kt=max(kt-1,1) |
|---|
| 1116 | ! find kb and kt |
|---|
| 1117 | if( zi(k).ge.za(km+1) ) then |
|---|
| 1118 | exit intp |
|---|
| 1119 | else |
|---|
| 1120 | find_kb : do kk=kb,km |
|---|
| 1121 | if( zi(k).le.za(kk+1) ) then |
|---|
| 1122 | kb = kk |
|---|
| 1123 | exit find_kb |
|---|
| 1124 | else |
|---|
| 1125 | cycle find_kb |
|---|
| 1126 | endif |
|---|
| 1127 | enddo find_kb |
|---|
| 1128 | find_kt : do kk=kt,km |
|---|
| 1129 | if( zi(k+1).le.za(kk) ) then |
|---|
| 1130 | kt = kk |
|---|
| 1131 | exit find_kt |
|---|
| 1132 | else |
|---|
| 1133 | cycle find_kt |
|---|
| 1134 | endif |
|---|
| 1135 | enddo find_kt |
|---|
| 1136 | ! compute q with piecewise constant method |
|---|
| 1137 | if( kt-kb.eq.1 ) then |
|---|
| 1138 | qn(k) = qa(kb) |
|---|
| 1139 | else if( kt-kb.ge.2 ) then |
|---|
| 1140 | zsumb = za(kb+1)-zi(k) |
|---|
| 1141 | qsumb = qa(kb) * zsumb |
|---|
| 1142 | zsumt = zi(k+1)-za(kt-1) |
|---|
| 1143 | qsumt = qa(kt-1) * zsumt |
|---|
| 1144 | qsum = 0.0 |
|---|
| 1145 | zsum = 0.0 |
|---|
| 1146 | if( kt-kb.ge.3 ) then |
|---|
| 1147 | do m=kb+1,kt-2 |
|---|
| 1148 | qsum = qsum + qa(m) * dza(m) |
|---|
| 1149 | zsum = zsum + dza(m) |
|---|
| 1150 | enddo |
|---|
| 1151 | endif |
|---|
| 1152 | qn(k) = (qsumb+qsum+qsumt)/(zsumb+zsum+zsumt) |
|---|
| 1153 | endif |
|---|
| 1154 | cycle intp |
|---|
| 1155 | endif |
|---|
| 1156 | ! |
|---|
| 1157 | enddo intp |
|---|
| 1158 | ! |
|---|
| 1159 | ! rain out |
|---|
| 1160 | sum_precip: do k=1,km |
|---|
| 1161 | if( za(k).lt.0.0 .and. za(k+1).lt.0.0 ) then |
|---|
| 1162 | precip(i) = precip(i) + qa(k)*dza(k) |
|---|
| 1163 | cycle sum_precip |
|---|
| 1164 | else if ( za(k).lt.0.0 .and. za(k+1).ge.0.0 ) then |
|---|
| 1165 | precip(i) = precip(i) + qa(k)*(0.0-za(k)) |
|---|
| 1166 | exit sum_precip |
|---|
| 1167 | endif |
|---|
| 1168 | exit sum_precip |
|---|
| 1169 | enddo sum_precip |
|---|
| 1170 | ! |
|---|
| 1171 | ! replace the new values |
|---|
| 1172 | rql(i,:) = qn(:) |
|---|
| 1173 | ! |
|---|
| 1174 | ! ---------------------------------- |
|---|
| 1175 | enddo i_loop |
|---|
| 1176 | ! |
|---|
| 1177 | END SUBROUTINE nislfv_rain_pcm |
|---|
| 1178 | !------------------------------------------------------------------- |
|---|
| 1179 | SUBROUTINE nislfv_rain_plm(im,km,denl,denfacl,tkl,dzl,wwl,rql,precip,dt,id,iter) |
|---|
| 1180 | !------------------------------------------------------------------- |
|---|
| 1181 | ! |
|---|
| 1182 | ! for non-iteration semi-Lagrangain forward advection for cloud |
|---|
| 1183 | ! with mass conservation and positive definite advection |
|---|
| 1184 | ! 2nd order interpolation with monotonic piecewise linear method |
|---|
| 1185 | ! this routine is under assumption of decfl < 1 for semi_Lagrangian |
|---|
| 1186 | ! |
|---|
| 1187 | ! dzl depth of model layer in meter |
|---|
| 1188 | ! wwl terminal velocity at model layer m/s |
|---|
| 1189 | ! rql cloud density*mixing ration |
|---|
| 1190 | ! precip precipitation |
|---|
| 1191 | ! dt time step |
|---|
| 1192 | ! id kind of precip: 0 test case; 1 raindrop |
|---|
| 1193 | ! iter how many time to guess mean terminal velocity: 0 pure forward. |
|---|
| 1194 | ! 0 : use departure wind for advection |
|---|
| 1195 | ! 1 : use mean wind for advection |
|---|
| 1196 | ! > 1 : use mean wind after iter-1 iterations |
|---|
| 1197 | ! |
|---|
| 1198 | ! author: hann-ming henry juang <henry.juang@noaa.gov> |
|---|
| 1199 | ! implemented by song-you hong |
|---|
| 1200 | ! |
|---|
| 1201 | implicit none |
|---|
| 1202 | integer im,km,id |
|---|
| 1203 | real dt |
|---|
| 1204 | real dzl(im,km),wwl(im,km),rql(im,km),precip(im) |
|---|
| 1205 | real denl(im,km),denfacl(im,km),tkl(im,km) |
|---|
| 1206 | ! |
|---|
| 1207 | integer i,k,n,m,kk,kb,kt,iter |
|---|
| 1208 | real tl,tl2,qql,dql,qqd |
|---|
| 1209 | real th,th2,qqh,dqh |
|---|
| 1210 | real zsum,qsum,dim,dip,c1,con1,fa1,fa2 |
|---|
| 1211 | real allold, allnew, zz, dzamin, cflmax, decfl |
|---|
| 1212 | real dz(km), ww(km), qq(km), wd(km), wa(km), was(km) |
|---|
| 1213 | real den(km), denfac(km), tk(km) |
|---|
| 1214 | real wi(km+1), zi(km+1), za(km+1) |
|---|
| 1215 | real qn(km), qr(km),tmp(km),tmp1(km),tmp2(km),tmp3(km) |
|---|
| 1216 | real dza(km+1), qa(km+1), qmi(km+1), qpi(km+1) |
|---|
| 1217 | ! |
|---|
| 1218 | precip(:) = 0.0 |
|---|
| 1219 | ! |
|---|
| 1220 | i_loop : do i=1,im |
|---|
| 1221 | ! ----------------------------------- |
|---|
| 1222 | dz(:) = dzl(i,:) |
|---|
| 1223 | qq(:) = rql(i,:) |
|---|
| 1224 | ww(:) = wwl(i,:) |
|---|
| 1225 | den(:) = denl(i,:) |
|---|
| 1226 | denfac(:) = denfacl(i,:) |
|---|
| 1227 | tk(:) = tkl(i,:) |
|---|
| 1228 | ! skip for no precipitation for all layers |
|---|
| 1229 | allold = 0.0 |
|---|
| 1230 | do k=1,km |
|---|
| 1231 | allold = allold + qq(k) |
|---|
| 1232 | enddo |
|---|
| 1233 | if(allold.le.0.0) then |
|---|
| 1234 | cycle i_loop |
|---|
| 1235 | endif |
|---|
| 1236 | ! |
|---|
| 1237 | ! compute interface values |
|---|
| 1238 | zi(1)=0.0 |
|---|
| 1239 | do k=1,km |
|---|
| 1240 | zi(k+1) = zi(k)+dz(k) |
|---|
| 1241 | enddo |
|---|
| 1242 | ! |
|---|
| 1243 | ! save departure wind |
|---|
| 1244 | wd(:) = ww(:) |
|---|
| 1245 | n=1 |
|---|
| 1246 | 100 continue |
|---|
| 1247 | ! plm is 2nd order, we can use 2nd order wi or 3rd order wi |
|---|
| 1248 | ! 2nd order interpolation to get wi |
|---|
| 1249 | wi(1) = ww(1) |
|---|
| 1250 | wi(km+1) = ww(km) |
|---|
| 1251 | do k=2,km |
|---|
| 1252 | wi(k) = (ww(k)*dz(k-1)+ww(k-1)*dz(k))/(dz(k-1)+dz(k)) |
|---|
| 1253 | enddo |
|---|
| 1254 | ! 3rd order interpolation to get wi |
|---|
| 1255 | fa1 = 9./16. |
|---|
| 1256 | fa2 = 1./16. |
|---|
| 1257 | wi(1) = ww(1) |
|---|
| 1258 | wi(2) = 0.5*(ww(2)+ww(1)) |
|---|
| 1259 | do k=3,km-1 |
|---|
| 1260 | wi(k) = fa1*(ww(k)+ww(k-1))-fa2*(ww(k+1)+ww(k-2)) |
|---|
| 1261 | enddo |
|---|
| 1262 | wi(km) = 0.5*(ww(km)+ww(km-1)) |
|---|
| 1263 | wi(km+1) = ww(km) |
|---|
| 1264 | ! |
|---|
| 1265 | ! terminate of top of raingroup |
|---|
| 1266 | do k=2,km |
|---|
| 1267 | if( ww(k).eq.0.0 ) wi(k)=ww(k-1) |
|---|
| 1268 | enddo |
|---|
| 1269 | ! |
|---|
| 1270 | ! diffusivity of wi |
|---|
| 1271 | con1 = 0.05 |
|---|
| 1272 | do k=km,1,-1 |
|---|
| 1273 | decfl = (wi(k+1)-wi(k))*dt/dz(k) |
|---|
| 1274 | if( decfl .gt. con1 ) then |
|---|
| 1275 | wi(k) = wi(k+1) - con1*dz(k)/dt |
|---|
| 1276 | endif |
|---|
| 1277 | enddo |
|---|
| 1278 | ! compute arrival point |
|---|
| 1279 | do k=1,km+1 |
|---|
| 1280 | za(k) = zi(k) - wi(k)*dt |
|---|
| 1281 | enddo |
|---|
| 1282 | ! |
|---|
| 1283 | do k=1,km |
|---|
| 1284 | dza(k) = za(k+1)-za(k) |
|---|
| 1285 | enddo |
|---|
| 1286 | dza(km+1) = zi(km+1) - za(km+1) |
|---|
| 1287 | ! |
|---|
| 1288 | ! computer deformation at arrival point |
|---|
| 1289 | do k=1,km |
|---|
| 1290 | qa(k) = qq(k)*dz(k)/dza(k) |
|---|
| 1291 | qr(k) = qa(k)/den(k) |
|---|
| 1292 | enddo |
|---|
| 1293 | qa(km+1) = 0.0 |
|---|
| 1294 | ! call maxmin(km,1,qa,' arrival points ') |
|---|
| 1295 | ! |
|---|
| 1296 | ! compute arrival terminal velocity, and estimate mean terminal velocity |
|---|
| 1297 | ! then back to use mean terminal velocity |
|---|
| 1298 | if( n.le.iter ) then |
|---|
| 1299 | call slope_wsm3(qr,den,denfac,tk,tmp,tmp1,tmp2,tmp3,wa,1,1,1,km) |
|---|
| 1300 | if( n.ge.2 ) wa(1:km)=0.5*(wa(1:km)+was(1:km)) |
|---|
| 1301 | do k=1,km |
|---|
| 1302 | !#ifdef DEBUG |
|---|
| 1303 | ! print*,' slope_wsm3 ',qr(k)*1000.,den(k),denfac(k),tk(k),tmp(k),tmp1(k),tmp2(k),ww(k),wa(k) |
|---|
| 1304 | !#endif |
|---|
| 1305 | ! mean wind is average of departure and new arrival winds |
|---|
| 1306 | ww(k) = 0.5* ( wd(k)+wa(k) ) |
|---|
| 1307 | enddo |
|---|
| 1308 | was(:) = wa(:) |
|---|
| 1309 | n=n+1 |
|---|
| 1310 | go to 100 |
|---|
| 1311 | endif |
|---|
| 1312 | ! |
|---|
| 1313 | ! estimate values at arrival cell interface with monotone |
|---|
| 1314 | do k=2,km |
|---|
| 1315 | dip=(qa(k+1)-qa(k))/(dza(k+1)+dza(k)) |
|---|
| 1316 | dim=(qa(k)-qa(k-1))/(dza(k-1)+dza(k)) |
|---|
| 1317 | if( dip*dim.le.0.0 ) then |
|---|
| 1318 | qmi(k)=qa(k) |
|---|
| 1319 | qpi(k)=qa(k) |
|---|
| 1320 | else |
|---|
| 1321 | qpi(k)=qa(k)+0.5*(dip+dim)*dza(k) |
|---|
| 1322 | qmi(k)=2.0*qa(k)-qpi(k) |
|---|
| 1323 | if( qpi(k).lt.0.0 .or. qmi(k).lt.0.0 ) then |
|---|
| 1324 | qpi(k) = qa(k) |
|---|
| 1325 | qmi(k) = qa(k) |
|---|
| 1326 | endif |
|---|
| 1327 | endif |
|---|
| 1328 | enddo |
|---|
| 1329 | qpi(1)=qa(1) |
|---|
| 1330 | qmi(1)=qa(1) |
|---|
| 1331 | qmi(km+1)=qa(km+1) |
|---|
| 1332 | qpi(km+1)=qa(km+1) |
|---|
| 1333 | ! |
|---|
| 1334 | ! interpolation to regular point |
|---|
| 1335 | qn = 0.0 |
|---|
| 1336 | kb=1 |
|---|
| 1337 | kt=1 |
|---|
| 1338 | intp : do k=1,km |
|---|
| 1339 | kb=max(kb-1,1) |
|---|
| 1340 | kt=max(kt-1,1) |
|---|
| 1341 | ! find kb and kt |
|---|
| 1342 | if( zi(k).ge.za(km+1) ) then |
|---|
| 1343 | exit intp |
|---|
| 1344 | else |
|---|
| 1345 | find_kb : do kk=kb,km |
|---|
| 1346 | if( zi(k).le.za(kk+1) ) then |
|---|
| 1347 | kb = kk |
|---|
| 1348 | exit find_kb |
|---|
| 1349 | else |
|---|
| 1350 | cycle find_kb |
|---|
| 1351 | endif |
|---|
| 1352 | enddo find_kb |
|---|
| 1353 | find_kt : do kk=kt,km |
|---|
| 1354 | if( zi(k+1).le.za(kk) ) then |
|---|
| 1355 | kt = kk |
|---|
| 1356 | exit find_kt |
|---|
| 1357 | else |
|---|
| 1358 | cycle find_kt |
|---|
| 1359 | endif |
|---|
| 1360 | enddo find_kt |
|---|
| 1361 | kt = kt - 1 |
|---|
| 1362 | ! compute q with piecewise constant method |
|---|
| 1363 | if( kt.eq.kb ) then |
|---|
| 1364 | tl=(zi(k)-za(kb))/dza(kb) |
|---|
| 1365 | th=(zi(k+1)-za(kb))/dza(kb) |
|---|
| 1366 | tl2=tl*tl |
|---|
| 1367 | th2=th*th |
|---|
| 1368 | qqd=0.5*(qpi(kb)-qmi(kb)) |
|---|
| 1369 | qqh=qqd*th2+qmi(kb)*th |
|---|
| 1370 | qql=qqd*tl2+qmi(kb)*tl |
|---|
| 1371 | qn(k) = (qqh-qql)/(th-tl) |
|---|
| 1372 | else if( kt.gt.kb ) then |
|---|
| 1373 | tl=(zi(k)-za(kb))/dza(kb) |
|---|
| 1374 | tl2=tl*tl |
|---|
| 1375 | qqd=0.5*(qpi(kb)-qmi(kb)) |
|---|
| 1376 | qql=qqd*tl2+qmi(kb)*tl |
|---|
| 1377 | dql = qa(kb)-qql |
|---|
| 1378 | zsum = (1.-tl)*dza(kb) |
|---|
| 1379 | qsum = dql*dza(kb) |
|---|
| 1380 | if( kt-kb.gt.1 ) then |
|---|
| 1381 | do m=kb+1,kt-1 |
|---|
| 1382 | zsum = zsum + dza(m) |
|---|
| 1383 | qsum = qsum + qa(m) * dza(m) |
|---|
| 1384 | enddo |
|---|
| 1385 | endif |
|---|
| 1386 | th=(zi(k+1)-za(kt))/dza(kt) |
|---|
| 1387 | th2=th*th |
|---|
| 1388 | qqd=0.5*(qpi(kt)-qmi(kt)) |
|---|
| 1389 | dqh=qqd*th2+qmi(kt)*th |
|---|
| 1390 | zsum = zsum + th*dza(kt) |
|---|
| 1391 | qsum = qsum + dqh*dza(kt) |
|---|
| 1392 | qn(k) = qsum/zsum |
|---|
| 1393 | endif |
|---|
| 1394 | cycle intp |
|---|
| 1395 | endif |
|---|
| 1396 | ! |
|---|
| 1397 | enddo intp |
|---|
| 1398 | ! |
|---|
| 1399 | ! rain out |
|---|
| 1400 | sum_precip: do k=1,km |
|---|
| 1401 | if( za(k).lt.0.0 .and. za(k+1).lt.0.0 ) then |
|---|
| 1402 | precip(i) = precip(i) + qa(k)*dza(k) |
|---|
| 1403 | cycle sum_precip |
|---|
| 1404 | else if ( za(k).lt.0.0 .and. za(k+1).ge.0.0 ) then |
|---|
| 1405 | precip(i) = precip(i) + qa(k)*(0.0-za(k)) |
|---|
| 1406 | exit sum_precip |
|---|
| 1407 | endif |
|---|
| 1408 | exit sum_precip |
|---|
| 1409 | enddo sum_precip |
|---|
| 1410 | ! |
|---|
| 1411 | ! replace the new values |
|---|
| 1412 | rql(i,:) = qn(:) |
|---|
| 1413 | ! |
|---|
| 1414 | ! ---------------------------------- |
|---|
| 1415 | enddo i_loop |
|---|
| 1416 | ! |
|---|
| 1417 | END SUBROUTINE nislfv_rain_plm |
|---|
| 1418 | ! |
|---|
| 1419 | END MODULE module_mp_wsm3 |
|---|
| 1420 | #endif |
|---|
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