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module cv30_unsat_m |
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| 3 |
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implicit none |
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| 5 |
SUBROUTINE cv3_unsat(nloc,ncum,nd,na,ntra,icb,inb & |
contains |
| 6 |
,t,rr,rs,gz,u,v,tra,p,ph & |
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| 7 |
,th,tv,lv,cpn,ep,sigp,clw & |
SUBROUTINE cv30_unsat(icb, inb, t, q, qs, gz, u, v, p, ph, th, tv, lv, cpn, & |
| 8 |
,m,ment,elij,delt,plcl & |
ep, clw, m, ment, elij, delt, plcl, mp, qp, up, vp, wt, water, evap, b) |
| 9 |
,mp,rp,up,vp,trap,wt,water,evap,b) |
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| 10 |
use cv3_param_m |
! Unsaturated (precipitating) downdrafts |
| 11 |
use cvthermo |
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| 12 |
use cvflag |
use cv30_param_m, only: nl, sigd |
| 13 |
implicit none |
use cv_thermo_m, only: cpd, ginv |
| 14 |
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use SUPHEC_M, only: rg |
| 15 |
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| 16 |
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integer, intent(in):: icb(:) ! (ncum) |
| 17 |
! inputs: |
! {2 <= icb <= nl - 3} |
| 18 |
integer, intent(in):: ncum, nd, na, ntra, nloc |
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| 19 |
integer icb(nloc), inb(nloc) |
integer, intent(in):: inb(:) ! (ncum) |
| 20 |
real, intent(in):: delt |
! first model level above the level of neutral buoyancy of the |
| 21 |
real plcl(nloc) |
! parcel (1 <= inb <= nl - 1) |
| 22 |
real t(nloc,nd), rr(nloc,nd), rs(nloc,nd) |
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| 23 |
real u(nloc,nd), v(nloc,nd) |
real, intent(in):: t(:, :), q(:, :), qs(:, :) ! (ncum, nl) |
| 24 |
real tra(nloc,nd,ntra) |
real, intent(in):: gz(:, :) ! (klon, klev) |
| 25 |
real p(nloc,nd), ph(nloc,nd+1) |
real, intent(in):: u(:, :), v(:, :) ! (ncum, nl) |
| 26 |
real th(nloc,na), gz(nloc,na) |
real, intent(in):: p(:, :) ! (klon, klev) pressure at full level, in hPa |
| 27 |
real lv(nloc,na), ep(nloc,na), sigp(nloc,na), clw(nloc,na) |
real, intent(in):: ph(:, :) ! (ncum, klev + 1) |
| 28 |
real cpn(nloc,na), tv(nloc,na) |
real, intent(in):: th(:, :) ! (ncum, nl - 1) |
| 29 |
real m(nloc,na), ment(nloc,na,na), elij(nloc,na,na) |
real, intent(in):: tv(:, :) ! (klon, klev) |
| 30 |
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real, intent(in):: lv(:, :) ! (ncum, nl) |
| 31 |
! outputs: |
real, intent(in):: cpn(:, :) ! (klon, klev) |
| 32 |
real mp(nloc,na), rp(nloc,na), up(nloc,na), vp(nloc,na) |
real, intent(in):: ep(:, :) ! (ncum, klev) |
| 33 |
real water(nloc,na), evap(nloc,na), wt(nloc,na) |
real, intent(in):: clw(:, :) ! (ncum, klev) |
| 34 |
real trap(nloc,na,ntra) |
real, intent(in):: m(:, :) ! (ncum, klev) |
| 35 |
real b(nloc,na) |
real, intent(in):: ment(:, :, :) ! (ncum, klev, klev) |
| 36 |
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real, intent(in):: elij(:, :, :) ! (ncum, klev, klev) |
| 37 |
! local variables |
real, intent(in):: delt |
| 38 |
integer i,j,k,il,num1 |
real, intent(in):: plcl(:) ! (ncum) |
| 39 |
real tinv, delti |
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| 40 |
real awat, afac, afac1, afac2, bfac |
real, intent(out):: mp(:, :) ! (klon, klev) |
| 41 |
real pr1, pr2, sigt, b6, c6, revap, tevap, delth |
! mass flux of the unsaturated downdraft, defined positive downward |
| 42 |
real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
! M_p in Emanuel (1991 928) |
| 43 |
real ampmax |
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| 44 |
real lvcp(nloc,na) |
real, intent(out):: qp(:, :), up(:, :), vp(:, :) ! (ncum, nl) |
| 45 |
real wdtrain(nloc) |
real, intent(out):: wt(:, :) ! (ncum, nl) |
| 46 |
logical lwork(nloc) |
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| 47 |
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real, intent(out):: water(:, :) ! (ncum, nl) |
| 48 |
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! precipitation mixing ratio, l_p in Emanuel (1991 928) |
| 49 |
!------------------------------------------------------ |
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| 50 |
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real, intent(out):: evap(:, :) ! (ncum, nl) |
| 51 |
delti = 1./delt |
! sigt * rate of evaporation of precipitation, in s-1 |
| 52 |
tinv=1./3. |
! \sigma_s E in Emanuel (1991 928) |
| 53 |
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| 54 |
mp(:,:)=0. |
real, intent(out):: b(:, :) ! (ncum, nl - 1) |
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| 56 |
do i=1,nl |
! Local: |
| 57 |
do il=1,ncum |
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| 58 |
mp(il,i)=0.0 |
real, parameter:: sigp = 0.15 |
| 59 |
rp(il,i)=rr(il,i) |
! fraction of precipitation falling outside of cloud, \sig_s in |
| 60 |
up(il,i)=u(il,i) |
! Emanuel (1991 928) |
| 61 |
vp(il,i)=v(il,i) |
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| 62 |
wt(il,i)=0.001 |
integer ncum |
| 63 |
water(il,i)=0.0 |
integer i, il, imax |
| 64 |
evap(il,i)=0.0 |
real tinv, delti |
| 65 |
b(il,i)=0.0 |
real afac, afac1, afac2, bfac |
| 66 |
lvcp(il,i)=lv(il,i)/cpn(il,i) |
real pr1, sigt, b6, c6, revap, tevap, delth |
| 67 |
enddo |
real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
| 68 |
enddo |
real ampmax |
| 69 |
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real lvcp(size(icb), nl) ! (ncum, nl) |
| 70 |
! |
real wdtrain(size(icb)) ! (ncum) |
| 71 |
! *** check whether ep(inb)=0, if so, skip precipitating *** |
logical lwork(size(icb)) ! (ncum) |
| 72 |
! *** downdraft calculation *** |
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| 73 |
! |
!------------------------------------------------------ |
| 74 |
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| 75 |
do il=1,ncum |
ncum = size(icb) |
| 76 |
lwork(il)=.TRUE. |
delti = 1. / delt |
| 77 |
if(ep(il,inb(il)).lt.0.0001)lwork(il)=.FALSE. |
tinv = 1. / 3. |
| 78 |
enddo |
mp = 0. |
| 79 |
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b = 0. |
| 80 |
call zilch(wdtrain,ncum) |
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| 81 |
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do i = 1, nl |
| 82 |
DO 400 i=nl+1,1,-1 |
do il = 1, ncum |
| 83 |
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qp(il, i) = q(il, i) |
| 84 |
num1=0 |
up(il, i) = u(il, i) |
| 85 |
do il=1,ncum |
vp(il, i) = v(il, i) |
| 86 |
if ( i.le.inb(il) .and. lwork(il) ) num1=num1+1 |
wt(il, i) = 0.001 |
| 87 |
enddo |
water(il, i) = 0. |
| 88 |
if (num1.le.0) goto 400 |
evap(il, i) = 0. |
| 89 |
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lvcp(il, i) = lv(il, i) / cpn(il, i) |
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! |
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! *** integrate liquid water equation to find condensed water *** |
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! *** and condensed water flux *** |
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! |
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! |
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! *** begin downdraft loop *** |
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! |
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! |
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! *** calculate detrained precipitation *** |
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! |
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do il=1,ncum |
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if (i.le.inb(il) .and. lwork(il)) then |
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if (cvflag_grav) then |
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wdtrain(il)=grav*ep(il,i)*m(il,i)*clw(il,i) |
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else |
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wdtrain(il)=10.0*ep(il,i)*m(il,i)*clw(il,i) |
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endif |
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endif |
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| 90 |
enddo |
enddo |
| 91 |
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enddo |
| 92 |
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| 93 |
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! Check whether ep(inb) = 0. If so, skip precipitating downdraft |
| 94 |
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! calculation. |
| 95 |
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| 96 |
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forall (il = 1:ncum) lwork(il) = ep(il, inb(il)) >= 1e-4 |
| 97 |
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| 98 |
if(i.gt.1)then |
imax = nl - 1 |
| 99 |
do 320 j=1,i-1 |
do while (.not. any(inb >= imax .and. lwork) .and. imax >= 1) |
| 100 |
do il=1,ncum |
imax = imax - 1 |
| 101 |
if (i.le.inb(il) .and. lwork(il)) then |
end do |
| 102 |
awat=elij(il,j,i)-(1.-ep(il,i))*clw(il,i) |
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| 103 |
awat=amax1(awat,0.0) |
downdraft_loop: DO i = imax, 1, - 1 |
| 104 |
if (cvflag_grav) then |
! Integrate liquid water equation to find condensed water |
| 105 |
wdtrain(il)=wdtrain(il)+grav*awat*ment(il,j,i) |
! and condensed water flux |
| 106 |
else |
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| 107 |
wdtrain(il)=wdtrain(il)+10.0*awat*ment(il,j,i) |
! Calculate detrained precipitation |
| 108 |
endif |
forall (il = 1:ncum, inb(il) >= i .and. lwork(il)) wdtrain(il) = rg & |
| 109 |
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* (ep(il, i) * m(il, i) * clw(il, i) & |
| 110 |
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+ sum(max(elij(il, :i - 1, i) - (1. - ep(il, i)) * clw(il, i), 0.) & |
| 111 |
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* ment(il, :i - 1, i))) |
| 112 |
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| 113 |
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! Find rain water and evaporation using provisional |
| 114 |
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! estimates of qp(i) and qp(i - 1) |
| 115 |
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| 116 |
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loop_horizontal: do il = 1, ncum |
| 117 |
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if (i <= inb(il) .and. lwork(il)) then |
| 118 |
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wt(il, i) = 45. |
| 119 |
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| 120 |
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if (i < inb(il)) then |
| 121 |
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qp(il, i) = qp(il, i + 1) + (cpd * (t(il, i + 1) - t(il, i)) & |
| 122 |
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+ gz(il, i + 1) - gz(il, i)) / lv(il, i) |
| 123 |
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qp(il, i) = 0.5 * (qp(il, i) + q(il, i)) |
| 124 |
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endif |
| 125 |
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| 126 |
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qp(il, i) = max(qp(il, i), 0.) |
| 127 |
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qp(il, i) = min(qp(il, i), qs(il, i)) |
| 128 |
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qp(il, inb(il)) = q(il, inb(il)) |
| 129 |
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| 130 |
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if (i == 1) then |
| 131 |
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afac = p(il, 1) * (qs(il, 1) - qp(il, 1)) & |
| 132 |
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/ (1e4 + 2000. * p(il, 1) * qs(il, 1)) |
| 133 |
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else |
| 134 |
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qp(il, i - 1) = qp(il, i) + (cpd * (t(il, i) - t(il, i - 1)) & |
| 135 |
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+ gz(il, i) - gz(il, i - 1)) / lv(il, i) |
| 136 |
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qp(il, i - 1) = 0.5 * (qp(il, i - 1) + q(il, i - 1)) |
| 137 |
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qp(il, i - 1) = min(qp(il, i - 1), qs(il, i - 1)) |
| 138 |
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qp(il, i - 1) = max(qp(il, i - 1), 0.) |
| 139 |
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afac1 = p(il, i) * (qs(il, i) - qp(il, i)) & |
| 140 |
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/ (1e4 + 2000. * p(il, i) * qs(il, i)) |
| 141 |
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afac2 = p(il, i - 1) * (qs(il, i - 1) - qp(il, i - 1)) & |
| 142 |
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/ (1e4 + 2000. * p(il, i - 1) * qs(il, i - 1)) |
| 143 |
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afac = 0.5 * (afac1 + afac2) |
| 144 |
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endif |
| 145 |
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| 146 |
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if (i == inb(il)) afac = 0. |
| 147 |
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afac = max(afac, 0.) |
| 148 |
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bfac = 1. / (sigd * wt(il, i)) |
| 149 |
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| 150 |
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if (i <= icb(il)) then |
| 151 |
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! Prise en compte de la variation progressive de sigt dans |
| 152 |
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! les couches icb et icb - 1 : |
| 153 |
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! pour plcl <= ph(i + 1), pr1 = 0 |
| 154 |
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! pour plcl >= ph(i), pr1 = 1 |
| 155 |
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! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion |
| 156 |
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! \`a cheval sur le nuage. |
| 157 |
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pr1 = max(0., min(1., & |
| 158 |
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(plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)))) |
| 159 |
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sigt = sigp * pr1 + 1. - pr1 |
| 160 |
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else |
| 161 |
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! {i >= icb(il) + 1} |
| 162 |
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sigt = sigp |
| 163 |
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end if |
| 164 |
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| 165 |
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b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt * afac |
| 166 |
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c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & |
| 167 |
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* (ph(il, i) - ph(il, i + 1)) * evap(il, i + 1) |
| 168 |
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| 169 |
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if (c6 > 0.) then |
| 170 |
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revap = 0.5 * (- b6 + sqrt(b6 * b6 + 4. * c6)) |
| 171 |
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evap(il, i) = sigt * afac * revap |
| 172 |
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water(il, i) = revap * revap |
| 173 |
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else |
| 174 |
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evap(il, i) = - evap(il, i + 1) + 0.02 * (wdtrain(il) + sigd & |
| 175 |
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* wt(il, i) * water(il, i + 1)) / (sigd * (ph(il, i) & |
| 176 |
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- ph(il, i + 1))) |
| 177 |
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end if |
| 178 |
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| 179 |
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! Calculate precipitating downdraft mass flux under |
| 180 |
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! hydrostatic approximation |
| 181 |
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| 182 |
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test_above_surface: if (i /= 1) then |
| 183 |
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tevap = max(0., evap(il, i)) |
| 184 |
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delth = max(0.001, (th(il, i) - th(il, i - 1))) |
| 185 |
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mp(il, i) = 100. * ginv * lvcp(il, i) * sigd * tevap & |
| 186 |
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* (p(il, i - 1) - p(il, i)) / delth |
| 187 |
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| 188 |
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! If hydrostatic assumption fails, solve cubic |
| 189 |
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! difference equation for downdraft theta and mass |
| 190 |
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! flux from two simultaneous differential equations |
| 191 |
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| 192 |
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amfac = sigd * sigd * 70. * ph(il, i) & |
| 193 |
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* (p(il, i - 1) - p(il, i)) & |
| 194 |
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* (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i)) |
| 195 |
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amp2 = abs(mp(il, i + 1) * mp(il, i + 1) - mp(il, i) & |
| 196 |
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* mp(il, i)) |
| 197 |
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| 198 |
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if (amp2 > 0.1 * amfac) then |
| 199 |
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xf = 100. * sigd * sigd * sigd * (ph(il, i) - ph(il, i + 1)) |
| 200 |
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tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & |
| 201 |
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* t(il, i) / (lvcp(il, i) * sigd * th(il, i)) |
| 202 |
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af = xf * tf + mp(il, i + 1) * mp(il, i + 1) * tinv |
| 203 |
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bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & |
| 204 |
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* mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & |
| 205 |
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- p(il, i)) * xf * tevap |
| 206 |
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fac2 = 1. |
| 207 |
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if (bf < 0.) fac2 = - 1. |
| 208 |
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bf = abs(bf) |
| 209 |
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ur = 0.25 * bf * bf - af * af * af * tinv * tinv * tinv |
| 210 |
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| 211 |
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if (ur >= 0.) then |
| 212 |
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sru = sqrt(ur) |
| 213 |
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fac = 1. |
| 214 |
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if ((0.5 * bf - sru) < 0.) fac = - 1. |
| 215 |
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mp(il, i) = mp(il, i + 1) * tinv + (0.5 * bf & |
| 216 |
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+ sru)**tinv + fac * (abs(0.5 * bf - sru))**tinv |
| 217 |
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else |
| 218 |
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d = atan(2. * sqrt(- ur) / (bf + 1e-28)) |
| 219 |
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if (fac2 < 0.)d = 3.14159 - d |
| 220 |
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mp(il, i) = mp(il, i + 1) * tinv + 2. * sqrt(af * tinv) & |
| 221 |
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* cos(d * tinv) |
| 222 |
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endif |
| 223 |
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| 224 |
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mp(il, i) = max(0., mp(il, i)) |
| 225 |
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| 226 |
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! Il y a vraisemblablement une erreur dans la ligne |
| 227 |
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! suivante : il faut diviser par (mp(il, i) * sigd |
| 228 |
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! * rg) et non par (mp(il, i) + sigd * 0.1). Et il |
| 229 |
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! faut bien revoir les facteurs 100. |
| 230 |
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b(il, i - 1) = b(il, i) + 100. * (p(il, i - 1) - p(il, i)) & |
| 231 |
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* tevap / (mp(il, i) + sigd * 0.1) - 10. * (th(il, i) & |
| 232 |
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- th(il, i - 1)) * t(il, i) / (lvcp(il, i) * sigd & |
| 233 |
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* th(il, i)) |
| 234 |
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b(il, i - 1) = max(b(il, i - 1), 0.) |
| 235 |
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endif |
| 236 |
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| 237 |
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! Limit magnitude of mp(i) to meet CFL condition: |
| 238 |
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ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti |
| 239 |
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amp2 = 2. * (ph(il, i - 1) - ph(il, i)) * delti |
| 240 |
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ampmax = min(ampmax, amp2) |
| 241 |
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mp(il, i) = min(mp(il, i), ampmax) |
| 242 |
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| 243 |
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! Force mp to decrease linearly to zero between cloud |
| 244 |
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! base and the surface: |
| 245 |
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if (p(il, i) > p(il, icb(il))) mp(il, i) = mp(il, icb(il)) & |
| 246 |
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* (p(il, 1) - p(il, i)) / (p(il, 1) - p(il, icb(il))) |
| 247 |
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endif test_above_surface |
| 248 |
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| 249 |
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! Find mixing ratio of precipitating downdraft |
| 250 |
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| 251 |
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if (i /= inb(il)) then |
| 252 |
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qp(il, i) = q(il, i) |
| 253 |
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| 254 |
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if (mp(il, i) > mp(il, i + 1)) then |
| 255 |
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qp(il, i) = qp(il, i + 1) * mp(il, i + 1) + q(il, i) & |
| 256 |
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* (mp(il, i) - mp(il, i + 1)) + 100. * ginv * 0.5 & |
| 257 |
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* sigd * (ph(il, i) - ph(il, i + 1)) & |
| 258 |
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* (evap(il, i + 1) + evap(il, i)) |
| 259 |
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qp(il, i) = qp(il, i) / mp(il, i) |
| 260 |
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up(il, i) = up(il, i + 1) * mp(il, i + 1) + u(il, i) & |
| 261 |
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* (mp(il, i) - mp(il, i + 1)) |
| 262 |
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up(il, i) = up(il, i) / mp(il, i) |
| 263 |
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vp(il, i) = vp(il, i + 1) * mp(il, i + 1) + v(il, i) & |
| 264 |
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* (mp(il, i) - mp(il, i + 1)) |
| 265 |
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vp(il, i) = vp(il, i) / mp(il, i) |
| 266 |
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else |
| 267 |
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if (mp(il, i + 1) > 1e-16) then |
| 268 |
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qp(il, i) = qp(il, i + 1) + 100. * ginv * 0.5 * sigd & |
| 269 |
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* (ph(il, i) - ph(il, i + 1)) * (evap(il, i + 1) & |
| 270 |
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+ evap(il, i)) / mp(il, i + 1) |
| 271 |
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up(il, i) = up(il, i + 1) |
| 272 |
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vp(il, i) = vp(il, i + 1) |
| 273 |
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endif |
| 274 |
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endif |
| 275 |
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| 276 |
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qp(il, i) = min(qp(il, i), qs(il, i)) |
| 277 |
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qp(il, i) = max(qp(il, i), 0.) |
| 278 |
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endif |
| 279 |
endif |
endif |
| 280 |
enddo |
end do loop_horizontal |
| 281 |
320 continue |
end DO downdraft_loop |
|
endif |
|
|
|
|
|
! |
|
|
! *** find rain water and evaporation using provisional *** |
|
|
! *** estimates of rp(i)and rp(i-1) *** |
|
|
! |
|
|
|
|
|
do 999 il=1,ncum |
|
|
|
|
|
if (i.le.inb(il) .and. lwork(il)) then |
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|
|
|
|
wt(il,i)=45.0 |
|
|
|
|
|
if(i.lt.inb(il))then |
|
|
rp(il,i)=rp(il,i+1) & |
|
|
+(cpd*(t(il,i+1)-t(il,i))+gz(il,i+1)-gz(il,i))/lv(il,i) |
|
|
rp(il,i)=0.5*(rp(il,i)+rr(il,i)) |
|
|
endif |
|
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rp(il,i)=amax1(rp(il,i),0.0) |
|
|
rp(il,i)=amin1(rp(il,i),rs(il,i)) |
|
|
rp(il,inb(il))=rr(il,inb(il)) |
|
|
|
|
|
if(i.eq.1)then |
|
|
afac=p(il,1)*(rs(il,1)-rp(il,1))/(1.0e4+2000.0*p(il,1)*rs(il,1)) |
|
|
else |
|
|
rp(il,i-1)=rp(il,i) & |
|
|
+(cpd*(t(il,i)-t(il,i-1))+gz(il,i)-gz(il,i-1))/lv(il,i) |
|
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rp(il,i-1)=0.5*(rp(il,i-1)+rr(il,i-1)) |
|
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rp(il,i-1)=amin1(rp(il,i-1),rs(il,i-1)) |
|
|
rp(il,i-1)=amax1(rp(il,i-1),0.0) |
|
|
afac1=p(il,i)*(rs(il,i)-rp(il,i))/(1.0e4+2000.0*p(il,i)*rs(il,i)) |
|
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afac2=p(il,i-1)*(rs(il,i-1)-rp(il,i-1)) & |
|
|
/(1.0e4+2000.0*p(il,i-1)*rs(il,i-1)) |
|
|
afac=0.5*(afac1+afac2) |
|
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endif |
|
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if(i.eq.inb(il))afac=0.0 |
|
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afac=amax1(afac,0.0) |
|
|
bfac=1./(sigd*wt(il,i)) |
|
|
! |
|
|
!jyg1 |
|
|
!cc sigt=1.0 |
|
|
!cc if(i.ge.icb)sigt=sigp(i) |
|
|
! prise en compte de la variation progressive de sigt dans |
|
|
! les couches icb et icb-1: |
|
|
! pour plcl<ph(i+1), pr1=0 & pr2=1 |
|
|
! pour plcl>ph(i), pr1=1 & pr2=0 |
|
|
! pour ph(i+1)<plcl<ph(i), pr1 est la proportion a cheval |
|
|
! sur le nuage, et pr2 est la proportion sous la base du |
|
|
! nuage. |
|
|
pr1=(plcl(il)-ph(il,i+1))/(ph(il,i)-ph(il,i+1)) |
|
|
pr1=max(0.,min(1.,pr1)) |
|
|
pr2=(ph(il,i)-plcl(il))/(ph(il,i)-ph(il,i+1)) |
|
|
pr2=max(0.,min(1.,pr2)) |
|
|
sigt=sigp(il,i)*pr1+pr2 |
|
|
!jyg2 |
|
|
! |
|
|
b6=bfac*50.*sigd*(ph(il,i)-ph(il,i+1))*sigt*afac |
|
|
c6=water(il,i+1)+bfac*wdtrain(il) & |
|
|
-50.*sigd*bfac*(ph(il,i)-ph(il,i+1))*evap(il,i+1) |
|
|
if(c6.gt.0.0)then |
|
|
revap=0.5*(-b6+sqrt(b6*b6+4.*c6)) |
|
|
evap(il,i)=sigt*afac*revap |
|
|
water(il,i)=revap*revap |
|
|
else |
|
|
evap(il,i)=-evap(il,i+1) & |
|
|
+0.02*(wdtrain(il)+sigd*wt(il,i)*water(il,i+1)) & |
|
|
/(sigd*(ph(il,i)-ph(il,i+1))) |
|
|
end if |
|
|
! |
|
|
! *** calculate precipitating downdraft mass flux under *** |
|
|
! *** hydrostatic approximation *** |
|
|
! |
|
|
if (i.ne.1) then |
|
|
|
|
|
tevap=amax1(0.0,evap(il,i)) |
|
|
delth=amax1(0.001,(th(il,i)-th(il,i-1))) |
|
|
if (cvflag_grav) then |
|
|
mp(il,i)=100.*ginv*lvcp(il,i)*sigd*tevap & |
|
|
*(p(il,i-1)-p(il,i))/delth |
|
|
else |
|
|
mp(il,i)=10.*lvcp(il,i)*sigd*tevap*(p(il,i-1)-p(il,i))/delth |
|
|
endif |
|
|
! |
|
|
! *** if hydrostatic assumption fails, *** |
|
|
! *** solve cubic difference equation for downdraft theta *** |
|
|
! *** and mass flux from two simultaneous differential eqns *** |
|
|
! |
|
|
amfac=sigd*sigd*70.0*ph(il,i)*(p(il,i-1)-p(il,i)) & |
|
|
*(th(il,i)-th(il,i-1))/(tv(il,i)*th(il,i)) |
|
|
amp2=abs(mp(il,i+1)*mp(il,i+1)-mp(il,i)*mp(il,i)) |
|
|
if(amp2.gt.(0.1*amfac))then |
|
|
xf=100.0*sigd*sigd*sigd*(ph(il,i)-ph(il,i+1)) |
|
|
tf=b(il,i)-5.0*(th(il,i)-th(il,i-1))*t(il,i) & |
|
|
/(lvcp(il,i)*sigd*th(il,i)) |
|
|
af=xf*tf+mp(il,i+1)*mp(il,i+1)*tinv |
|
|
bf=2.*(tinv*mp(il,i+1))**3+tinv*mp(il,i+1)*xf*tf & |
|
|
+50.*(p(il,i-1)-p(il,i))*xf*tevap |
|
|
fac2=1.0 |
|
|
if(bf.lt.0.0)fac2=-1.0 |
|
|
bf=abs(bf) |
|
|
ur=0.25*bf*bf-af*af*af*tinv*tinv*tinv |
|
|
if(ur.ge.0.0)then |
|
|
sru=sqrt(ur) |
|
|
fac=1.0 |
|
|
if((0.5*bf-sru).lt.0.0)fac=-1.0 |
|
|
mp(il,i)=mp(il,i+1)*tinv+(0.5*bf+sru)**tinv & |
|
|
+fac*(abs(0.5*bf-sru))**tinv |
|
|
else |
|
|
d=atan(2.*sqrt(-ur)/(bf+1.0e-28)) |
|
|
if(fac2.lt.0.0)d=3.14159-d |
|
|
mp(il,i)=mp(il,i+1)*tinv+2.*sqrt(af*tinv)*cos(d*tinv) |
|
|
endif |
|
|
mp(il,i)=amax1(0.0,mp(il,i)) |
|
|
|
|
|
if (cvflag_grav) then |
|
|
!jyg : il y a vraisemblablement une erreur dans la ligne 2 suivante: |
|
|
! il faut diviser par (mp(il,i)*sigd*grav) et non par (mp(il,i)+sigd*0.1). |
|
|
! Et il faut bien revoir les facteurs 100. |
|
|
b(il,i-1)=b(il,i)+100.0*(p(il,i-1)-p(il,i))*tevap & |
|
|
/(mp(il,i)+sigd*0.1) & |
|
|
-10.0*(th(il,i)-th(il,i-1))*t(il,i)/(lvcp(il,i)*sigd*th(il,i)) |
|
|
else |
|
|
b(il,i-1)=b(il,i)+100.0*(p(il,i-1)-p(il,i))*tevap & |
|
|
/(mp(il,i)+sigd*0.1) & |
|
|
-10.0*(th(il,i)-th(il,i-1))*t(il,i)/(lvcp(il,i)*sigd*th(il,i)) |
|
|
endif |
|
|
b(il,i-1)=amax1(b(il,i-1),0.0) |
|
|
endif |
|
|
! |
|
|
! *** limit magnitude of mp(i) to meet cfl condition *** |
|
|
! |
|
|
ampmax=2.0*(ph(il,i)-ph(il,i+1))*delti |
|
|
amp2=2.0*(ph(il,i-1)-ph(il,i))*delti |
|
|
ampmax=amin1(ampmax,amp2) |
|
|
mp(il,i)=amin1(mp(il,i),ampmax) |
|
|
! |
|
|
! *** force mp to decrease linearly to zero *** |
|
|
! *** between cloud base and the surface *** |
|
|
! |
|
|
if(p(il,i).gt.p(il,icb(il)))then |
|
|
mp(il,i)=mp(il,icb(il))*(p(il,1)-p(il,i))/(p(il,1)-p(il,icb(il))) |
|
|
endif |
|
|
|
|
|
360 continue |
|
|
endif ! i.eq.1 |
|
|
! |
|
|
! *** find mixing ratio of precipitating downdraft *** |
|
|
! |
|
|
|
|
|
if (i.ne.inb(il)) then |
|
|
|
|
|
rp(il,i)=rr(il,i) |
|
|
|
|
|
if(mp(il,i).gt.mp(il,i+1))then |
|
|
|
|
|
if (cvflag_grav) then |
|
|
rp(il,i)=rp(il,i+1)*mp(il,i+1)+rr(il,i)*(mp(il,i)-mp(il,i+1)) & |
|
|
+100.*ginv*0.5*sigd*(ph(il,i)-ph(il,i+1)) & |
|
|
*(evap(il,i+1)+evap(il,i)) |
|
|
else |
|
|
rp(il,i)=rp(il,i+1)*mp(il,i+1)+rr(il,i)*(mp(il,i)-mp(il,i+1)) & |
|
|
+5.*sigd*(ph(il,i)-ph(il,i+1)) & |
|
|
*(evap(il,i+1)+evap(il,i)) |
|
|
endif |
|
|
rp(il,i)=rp(il,i)/mp(il,i) |
|
|
up(il,i)=up(il,i+1)*mp(il,i+1)+u(il,i)*(mp(il,i)-mp(il,i+1)) |
|
|
up(il,i)=up(il,i)/mp(il,i) |
|
|
vp(il,i)=vp(il,i+1)*mp(il,i+1)+v(il,i)*(mp(il,i)-mp(il,i+1)) |
|
|
vp(il,i)=vp(il,i)/mp(il,i) |
|
|
|
|
|
else |
|
|
|
|
|
if(mp(il,i+1).gt.1.0e-16)then |
|
|
if (cvflag_grav) then |
|
|
rp(il,i)=rp(il,i+1) & |
|
|
+100.*ginv*0.5*sigd*(ph(il,i)-ph(il,i+1)) & |
|
|
*(evap(il,i+1)+evap(il,i))/mp(il,i+1) |
|
|
else |
|
|
rp(il,i)=rp(il,i+1) & |
|
|
+5.*sigd*(ph(il,i)-ph(il,i+1)) & |
|
|
*(evap(il,i+1)+evap(il,i))/mp(il,i+1) |
|
|
endif |
|
|
up(il,i)=up(il,i+1) |
|
|
vp(il,i)=vp(il,i+1) |
|
|
|
|
|
endif |
|
|
endif |
|
|
rp(il,i)=amin1(rp(il,i),rs(il,i)) |
|
|
rp(il,i)=amax1(rp(il,i),0.0) |
|
|
|
|
|
endif |
|
|
endif |
|
|
999 continue |
|
| 282 |
|
|
| 283 |
400 continue |
end SUBROUTINE cv30_unsat |
| 284 |
|
|
| 285 |
return |
end module cv30_unsat_m |
|
end |
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