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module cv3_unsat_m |
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implicit none |
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contains |
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SUBROUTINE cv3_unsat(nloc,ncum,nd,na,icb,inb & |
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,t,rr,rs,gz,u,v,p,ph & |
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,th,tv,lv,cpn,ep,sigp,clw & |
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,m,ment,elij,delt,plcl & |
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,mp,rp,up,vp,wt,water,evap,b) |
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use cv3_param_m |
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use cvthermo |
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use cvflag |
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! inputs: |
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integer, intent(in):: ncum, nd, na, nloc |
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integer icb(nloc), inb(nloc) |
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real, intent(in):: delt |
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real plcl(nloc) |
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real t(nloc,nd), rr(nloc,nd), rs(nloc,nd) |
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real u(nloc,nd), v(nloc,nd) |
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real p(nloc,nd), ph(nloc,nd+1) |
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real th(nloc,na), gz(nloc,na) |
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real lv(nloc,na), ep(nloc,na), sigp(nloc,na), clw(nloc,na) |
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real cpn(nloc,na), tv(nloc,na) |
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real m(nloc,na), ment(nloc,na,na), elij(nloc,na,na) |
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! outputs: |
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real mp(nloc,na), rp(nloc,na), up(nloc,na), vp(nloc,na) |
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real water(nloc,na), evap(nloc,na), wt(nloc,na) |
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real b(nloc,na) |
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! local variables |
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integer i,j,il,num1 |
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real tinv, delti |
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real awat, afac, afac1, afac2, bfac |
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real pr1, pr2, sigt, b6, c6, revap, tevap, delth |
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real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
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real ampmax |
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real lvcp(nloc,na) |
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real wdtrain(nloc) |
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logical lwork(nloc) |
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!------------------------------------------------------ |
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delti = 1./delt |
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tinv=1./3. |
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mp(:,:)=0. |
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do i=1,nl |
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do il=1,ncum |
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mp(il,i)=0.0 |
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rp(il,i)=rr(il,i) |
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up(il,i)=u(il,i) |
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vp(il,i)=v(il,i) |
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wt(il,i)=0.001 |
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water(il,i)=0.0 |
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evap(il,i)=0.0 |
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b(il,i)=0.0 |
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lvcp(il,i)=lv(il,i)/cpn(il,i) |
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enddo |
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enddo |
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! |
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! *** check whether ep(inb)=0, if so, skip precipitating *** |
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! *** downdraft calculation *** |
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! |
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do il=1,ncum |
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lwork(il)=.TRUE. |
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if(ep(il,inb(il)).lt.0.0001)lwork(il)=.FALSE. |
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enddo |
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call zilch(wdtrain,ncum) |
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DO i=nl+1,1,-1 |
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num1=0 |
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do il=1,ncum |
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if ( i.le.inb(il) .and. lwork(il) ) num1=num1+1 |
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enddo |
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if (num1.le.0) cycle |
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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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enddo |
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if(i.gt.1)then |
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do j=1,i-1 |
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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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awat=elij(il,j,i)-(1.-ep(il,i))*clw(il,i) |
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awat=amax1(awat,0.0) |
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if (cvflag_grav) then |
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wdtrain(il)=wdtrain(il)+grav*awat*ment(il,j,i) |
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else |
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wdtrain(il)=wdtrain(il)+10.0*awat*ment(il,j,i) |
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endif |
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endif |
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enddo |
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end do |
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endif |
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! |
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! *** find rain water and evaporation using provisional *** |
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! *** estimates of rp(i)and rp(i-1) *** |
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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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wt(il,i)=45.0 |
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if(i.lt.inb(il))then |
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rp(il,i)=rp(il,i+1) & |
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+(cpd*(t(il,i+1)-t(il,i))+gz(il,i+1)-gz(il,i))/lv(il,i) |
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rp(il,i)=0.5*(rp(il,i)+rr(il,i)) |
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endif |
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rp(il,i)=amax1(rp(il,i),0.0) |
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rp(il,i)=amin1(rp(il,i),rs(il,i)) |
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rp(il,inb(il))=rr(il,inb(il)) |
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if(i.eq.1)then |
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afac=p(il,1)*(rs(il,1)-rp(il,1))/(1.0e4+2000.0*p(il,1)*rs(il,1)) |
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else |
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rp(il,i-1)=rp(il,i) & |
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+(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)) |
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rp(il,i-1)=amax1(rp(il,i-1),0.0) |
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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)) & |
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/(1.0e4+2000.0*p(il,i-1)*rs(il,i-1)) |
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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) |
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bfac=1./(sigd*wt(il,i)) |
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! |
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!jyg1 |
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!cc sigt=1.0 |
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!cc if(i.ge.icb)sigt=sigp(i) |
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! prise en compte de la variation progressive de sigt dans |
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! les couches icb et icb-1: |
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! pour plcl<ph(i+1), pr1=0 & pr2=1 |
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! pour plcl>ph(i), pr1=1 & pr2=0 |
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! pour ph(i+1)<plcl<ph(i), pr1 est la proportion a cheval |
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! sur le nuage, et pr2 est la proportion sous la base du |
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! nuage. |
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pr1=(plcl(il)-ph(il,i+1))/(ph(il,i)-ph(il,i+1)) |
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pr1=max(0.,min(1.,pr1)) |
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pr2=(ph(il,i)-plcl(il))/(ph(il,i)-ph(il,i+1)) |
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pr2=max(0.,min(1.,pr2)) |
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sigt=sigp(il,i)*pr1+pr2 |
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!jyg2 |
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! |
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b6=bfac*50.*sigd*(ph(il,i)-ph(il,i+1))*sigt*afac |
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c6=water(il,i+1)+bfac*wdtrain(il) & |
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-50.*sigd*bfac*(ph(il,i)-ph(il,i+1))*evap(il,i+1) |
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if(c6.gt.0.0)then |
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revap=0.5*(-b6+sqrt(b6*b6+4.*c6)) |
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evap(il,i)=sigt*afac*revap |
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water(il,i)=revap*revap |
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else |
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evap(il,i)=-evap(il,i+1) & |
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+0.02*(wdtrain(il)+sigd*wt(il,i)*water(il,i+1)) & |
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/(sigd*(ph(il,i)-ph(il,i+1))) |
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end if |
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! |
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! *** calculate precipitating downdraft mass flux under *** |
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! *** hydrostatic approximation *** |
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! |
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if (i.ne.1) then |
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tevap=amax1(0.0,evap(il,i)) |
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delth=amax1(0.001,(th(il,i)-th(il,i-1))) |
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if (cvflag_grav) then |
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mp(il,i)=100.*ginv*lvcp(il,i)*sigd*tevap & |
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*(p(il,i-1)-p(il,i))/delth |
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else |
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mp(il,i)=10.*lvcp(il,i)*sigd*tevap*(p(il,i-1)-p(il,i))/delth |
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endif |
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! |
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! *** if hydrostatic assumption fails, *** |
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! *** solve cubic difference equation for downdraft theta *** |
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! *** and mass flux from two simultaneous differential eqns *** |
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! |
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amfac=sigd*sigd*70.0*ph(il,i)*(p(il,i-1)-p(il,i)) & |
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*(th(il,i)-th(il,i-1))/(tv(il,i)*th(il,i)) |
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amp2=abs(mp(il,i+1)*mp(il,i+1)-mp(il,i)*mp(il,i)) |
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if(amp2.gt.(0.1*amfac))then |
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xf=100.0*sigd*sigd*sigd*(ph(il,i)-ph(il,i+1)) |
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tf=b(il,i)-5.0*(th(il,i)-th(il,i-1))*t(il,i) & |
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/(lvcp(il,i)*sigd*th(il,i)) |
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af=xf*tf+mp(il,i+1)*mp(il,i+1)*tinv |
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bf=2.*(tinv*mp(il,i+1))**3+tinv*mp(il,i+1)*xf*tf & |
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+50.*(p(il,i-1)-p(il,i))*xf*tevap |
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fac2=1.0 |
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if(bf.lt.0.0)fac2=-1.0 |
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bf=abs(bf) |
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ur=0.25*bf*bf-af*af*af*tinv*tinv*tinv |
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if(ur.ge.0.0)then |
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sru=sqrt(ur) |
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fac=1.0 |
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if((0.5*bf-sru).lt.0.0)fac=-1.0 |
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mp(il,i)=mp(il,i+1)*tinv+(0.5*bf+sru)**tinv & |
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+fac*(abs(0.5*bf-sru))**tinv |
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else |
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d=atan(2.*sqrt(-ur)/(bf+1.0e-28)) |
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if(fac2.lt.0.0)d=3.14159-d |
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mp(il,i)=mp(il,i+1)*tinv+2.*sqrt(af*tinv)*cos(d*tinv) |
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endif |
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mp(il,i)=amax1(0.0,mp(il,i)) |
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if (cvflag_grav) then |
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!jyg : il y a vraisemblablement une erreur dans la ligne 2 suivante: |
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! il faut diviser par (mp(il,i)*sigd*grav) et non par (mp(il,i)+sigd*0.1). |
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! Et il faut bien revoir les facteurs 100. |
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b(il,i-1)=b(il,i)+100.0*(p(il,i-1)-p(il,i))*tevap & |
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/(mp(il,i)+sigd*0.1) & |
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-10.0*(th(il,i)-th(il,i-1))*t(il,i)/(lvcp(il,i)*sigd*th(il,i)) |
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else |
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b(il,i-1)=b(il,i)+100.0*(p(il,i-1)-p(il,i))*tevap & |
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/(mp(il,i)+sigd*0.1) & |
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-10.0*(th(il,i)-th(il,i-1))*t(il,i)/(lvcp(il,i)*sigd*th(il,i)) |
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endif |
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b(il,i-1)=amax1(b(il,i-1),0.0) |
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endif |
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! |
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! *** limit magnitude of mp(i) to meet cfl condition *** |
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! |
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ampmax=2.0*(ph(il,i)-ph(il,i+1))*delti |
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amp2=2.0*(ph(il,i-1)-ph(il,i))*delti |
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ampmax=amin1(ampmax,amp2) |
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mp(il,i)=amin1(mp(il,i),ampmax) |
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! |
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! *** force mp to decrease linearly to zero *** |
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! *** between cloud base and the surface *** |
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! |
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if(p(il,i).gt.p(il,icb(il)))then |
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mp(il,i)=mp(il,icb(il))*(p(il,1)-p(il,i))/(p(il,1)-p(il,icb(il))) |
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endif |
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endif ! i.eq.1 |
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! |
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! *** find mixing ratio of precipitating downdraft *** |
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! |
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if (i.ne.inb(il)) then |
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rp(il,i)=rr(il,i) |
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if(mp(il,i).gt.mp(il,i+1))then |
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if (cvflag_grav) then |
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rp(il,i)=rp(il,i+1)*mp(il,i+1)+rr(il,i)*(mp(il,i)-mp(il,i+1)) & |
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+100.*ginv*0.5*sigd*(ph(il,i)-ph(il,i+1)) & |
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*(evap(il,i+1)+evap(il,i)) |
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else |
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rp(il,i)=rp(il,i+1)*mp(il,i+1)+rr(il,i)*(mp(il,i)-mp(il,i+1)) & |
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+5.*sigd*(ph(il,i)-ph(il,i+1)) & |
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*(evap(il,i+1)+evap(il,i)) |
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endif |
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rp(il,i)=rp(il,i)/mp(il,i) |
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up(il,i)=up(il,i+1)*mp(il,i+1)+u(il,i)*(mp(il,i)-mp(il,i+1)) |
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up(il,i)=up(il,i)/mp(il,i) |
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vp(il,i)=vp(il,i+1)*mp(il,i+1)+v(il,i)*(mp(il,i)-mp(il,i+1)) |
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vp(il,i)=vp(il,i)/mp(il,i) |
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else |
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if(mp(il,i+1).gt.1.0e-16)then |
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if (cvflag_grav) then |
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rp(il,i)=rp(il,i+1) & |
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+100.*ginv*0.5*sigd*(ph(il,i)-ph(il,i+1)) & |
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*(evap(il,i+1)+evap(il,i))/mp(il,i+1) |
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else |
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rp(il,i)=rp(il,i+1) & |
| 302 |
|
|
+5.*sigd*(ph(il,i)-ph(il,i+1)) & |
| 303 |
|
|
*(evap(il,i+1)+evap(il,i))/mp(il,i+1) |
| 304 |
|
|
endif |
| 305 |
|
|
up(il,i)=up(il,i+1) |
| 306 |
|
|
vp(il,i)=vp(il,i+1) |
| 307 |
guez |
47 |
|
| 308 |
guez |
97 |
endif |
| 309 |
|
|
endif |
| 310 |
|
|
rp(il,i)=amin1(rp(il,i),rs(il,i)) |
| 311 |
|
|
rp(il,i)=amax1(rp(il,i),0.0) |
| 312 |
guez |
47 |
|
| 313 |
guez |
97 |
endif |
| 314 |
|
|
endif |
| 315 |
|
|
end do |
| 316 |
guez |
47 |
|
| 317 |
guez |
97 |
end DO |
| 318 |
guez |
47 |
|
| 319 |
guez |
97 |
end SUBROUTINE cv3_unsat |
| 320 |
|
|
|
| 321 |
|
|
end module cv3_unsat_m |
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