SUBROUTINE cv_param(nd) implicit none c------------------------------------------------------------ c Set parameters for convectL c (includes microphysical parameters and parameters that c control the rate of approach to quasi-equilibrium) c------------------------------------------------------------ C *** ELCRIT IS THE AUTOCONVERSION THERSHOLD WATER CONTENT (gm/gm) *** C *** TLCRIT IS CRITICAL TEMPERATURE BELOW WHICH THE AUTO- *** C *** CONVERSION THRESHOLD IS ASSUMED TO BE ZERO *** C *** (THE AUTOCONVERSION THRESHOLD VARIES LINEARLY *** C *** BETWEEN 0 C AND TLCRIT) *** C *** ENTP IS THE COEFFICIENT OF MIXING IN THE ENTRAINMENT *** C *** FORMULATION *** C *** SIGD IS THE FRACTIONAL AREA COVERED BY UNSATURATED DNDRAFT *** C *** SIGS IS THE FRACTION OF PRECIPITATION FALLING OUTSIDE *** C *** OF CLOUD *** C *** OMTRAIN IS THE ASSUMED FALL SPEED (P/s) OF RAIN *** C *** OMTSNOW IS THE ASSUMED FALL SPEED (P/s) OF SNOW *** C *** COEFFR IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** C *** OF RAIN *** C *** COEFFS IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** C *** OF SNOW *** C *** CU IS THE COEFFICIENT GOVERNING CONVECTIVE MOMENTUM *** C *** TRANSPORT *** C *** DTMAX IS THE MAXIMUM NEGATIVE TEMPERATURE PERTURBATION *** C *** A LIFTED PARCEL IS ALLOWED TO HAVE BELOW ITS LFC *** C *** ALPHA AND DAMP ARE PARAMETERS THAT CONTROL THE RATE OF *** C *** APPROACH TO QUASI-EQUILIBRIUM *** C *** (THEIR STANDARD VALUES ARE 0.20 AND 0.1, RESPECTIVELY) *** C *** (DAMP MUST BE LESS THAN 1) *** #include "cvparam.h" integer nd c noff: integer limit for convection (nd-noff) c minorig: First level of convection noff = 2 minorig = 2 nl=nd-noff nlp=nl+1 nlm=nl-1 elcrit=0.0011 tlcrit=-55.0 entp=1.5 sigs=0.12 sigd=0.05 omtrain=50.0 omtsnow=5.5 coeffr=1.0 coeffs=0.8 dtmax=0.9 c cu=0.70 c betad=10.0 c damp=0.1 alpha=0.2 c delta=0.01 ! cld c return end SUBROUTINE cv_prelim(len,nd,ndp1,t,q,p,ph : ,lv,cpn,tv,gz,h,hm) implicit none !===================================================================== ! --- CALCULATE ARRAYS OF GEOPOTENTIAL, HEAT CAPACITY & STATIC ENERGY !===================================================================== c inputs: integer len, nd, ndp1 real t(len,nd), q(len,nd), p(len,nd), ph(len,ndp1) c outputs: real lv(len,nd), cpn(len,nd), tv(len,nd) real gz(len,nd), h(len,nd), hm(len,nd) c local variables: integer k, i real cpx(len,nd) #include "cvthermo.h" #include "cvparam.h" do 110 k=1,nlp do 100 i=1,len lv(i,k)= lv0-clmcpv*(t(i,k)-t0) cpn(i,k)=cpd*(1.0-q(i,k))+cpv*q(i,k) cpx(i,k)=cpd*(1.0-q(i,k))+cl*q(i,k) tv(i,k)=t(i,k)*(1.0+q(i,k)*epsim1) 100 continue 110 continue c c gz = phi at the full levels (same as p). c do 120 i=1,len gz(i,1)=0.0 120 continue do 140 k=2,nlp do 130 i=1,len gz(i,k)=gz(i,k-1)+hrd*(tv(i,k-1)+tv(i,k)) & *(p(i,k-1)-p(i,k))/ph(i,k) 130 continue 140 continue c c h = phi + cpT (dry static energy). c hm = phi + cp(T-Tbase)+Lq c do 170 k=1,nlp do 160 i=1,len h(i,k)=gz(i,k)+cpn(i,k)*t(i,k) hm(i,k)=gz(i,k)+cpx(i,k)*(t(i,k)-t(i,1))+lv(i,k)*q(i,k) 160 continue 170 continue return end SUBROUTINE cv_feed(len,nd,t,q,qs,p,hm,gz : ,nk,icb,icbmax,iflag,tnk,qnk,gznk,plcl) implicit none C================================================================ C Purpose: CONVECTIVE FEED C================================================================ #include "cvparam.h" c inputs: integer len, nd real t(len,nd), q(len,nd), qs(len,nd), p(len,nd) real hm(len,nd), gz(len,nd) c outputs: integer iflag(len), nk(len), icb(len), icbmax real tnk(len), qnk(len), gznk(len), plcl(len) c local variables: integer i, k integer ihmin(len) real work(len) real pnk(len), qsnk(len), rh(len), chi(len) !------------------------------------------------------------------- ! --- Find level of minimum moist static energy ! --- If level of minimum moist static energy coincides with ! --- or is lower than minimum allowable parcel origin level, ! --- set iflag to 6. !------------------------------------------------------------------- do 180 i=1,len work(i)=1.0e12 ihmin(i)=nl 180 continue do 200 k=2,nlp do 190 i=1,len if((hm(i,k).lt.work(i)).and. & (hm(i,k).lt.hm(i,k-1)))then work(i)=hm(i,k) ihmin(i)=k endif 190 continue 200 continue do 210 i=1,len ihmin(i)=min(ihmin(i),nlm) if(ihmin(i).le.minorig)then iflag(i)=6 endif 210 continue c !------------------------------------------------------------------- ! --- Find that model level below the level of minimum moist static ! --- energy that has the maximum value of moist static energy !------------------------------------------------------------------- do 220 i=1,len work(i)=hm(i,minorig) nk(i)=minorig 220 continue do 240 k=minorig+1,nl do 230 i=1,len if((hm(i,k).gt.work(i)).and.(k.le.ihmin(i)))then work(i)=hm(i,k) nk(i)=k endif 230 continue 240 continue !------------------------------------------------------------------- ! --- Check whether parcel level temperature and specific humidity ! --- are reasonable !------------------------------------------------------------------- do 250 i=1,len if(((t(i,nk(i)).lt.250.0).or. & (q(i,nk(i)).le.0.0).or. & (p(i,ihmin(i)).lt.400.0)).and. & (iflag(i).eq.0))iflag(i)=7 250 continue !------------------------------------------------------------------- ! --- Calculate lifted condensation level of air at parcel origin level ! --- (Within 0.2% of formula of Bolton, MON. WEA. REV.,1980) !------------------------------------------------------------------- do 260 i=1,len tnk(i)=t(i,nk(i)) qnk(i)=q(i,nk(i)) gznk(i)=gz(i,nk(i)) pnk(i)=p(i,nk(i)) qsnk(i)=qs(i,nk(i)) c rh(i)=qnk(i)/qsnk(i) rh(i)=min(1.0,rh(i)) chi(i)=tnk(i)/(1669.0-122.0*rh(i)-tnk(i)) plcl(i)=pnk(i)*(rh(i)**chi(i)) if(((plcl(i).lt.200.0).or.(plcl(i).ge.2000.0)) & .and.(iflag(i).eq.0))iflag(i)=8 260 continue !------------------------------------------------------------------- ! --- Calculate first level above lcl (=icb) !------------------------------------------------------------------- do 270 i=1,len icb(i)=nlm 270 continue c do 290 k=minorig,nl do 280 i=1,len if((k.ge.(nk(i)+1)).and.(p(i,k).lt.plcl(i))) & icb(i)=min(icb(i),k) 280 continue 290 continue c do 300 i=1,len if((icb(i).ge.nlm).and.(iflag(i).eq.0))iflag(i)=9 300 continue c c Compute icbmax. c icbmax=2 do 310 i=1,len icbmax=max(icbmax,icb(i)) 310 continue return end SUBROUTINE cv_undilute1(len,nd,t,q,qs,gz,p,nk,icb,icbmax : ,tp,tvp,clw) implicit none #include "cvthermo.h" #include "cvparam.h" c inputs: integer len, nd integer nk(len), icb(len), icbmax real t(len,nd), q(len,nd), qs(len,nd), gz(len,nd) real p(len,nd) c outputs: real tp(len,nd), tvp(len,nd), clw(len,nd) c local variables: integer i, k real tg, qg, alv, s, ahg, tc, denom, es, rg real ah0(len), cpp(len) real tnk(len), qnk(len), gznk(len), ticb(len), gzicb(len) !------------------------------------------------------------------- ! --- Calculates the lifted parcel virtual temperature at nk, ! --- the actual temperature, and the adiabatic ! --- liquid water content. The procedure is to solve the equation. ! cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. !------------------------------------------------------------------- do 320 i=1,len tnk(i)=t(i,nk(i)) qnk(i)=q(i,nk(i)) gznk(i)=gz(i,nk(i)) ticb(i)=t(i,icb(i)) gzicb(i)=gz(i,icb(i)) 320 continue c c *** Calculate certain parcel quantities, including static energy *** c do 330 i=1,len ah0(i)=(cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) & +qnk(i)*(lv0-clmcpv*(tnk(i)-273.15))+gznk(i) cpp(i)=cpd*(1.-qnk(i))+qnk(i)*cpv 330 continue c c *** Calculate lifted parcel quantities below cloud base *** c do 350 k=minorig,icbmax-1 do 340 i=1,len tp(i,k)=tnk(i)-(gz(i,k)-gznk(i))/cpp(i) tvp(i,k)=tp(i,k)*(1.+qnk(i)*epsi) 340 continue 350 continue c c *** Find lifted parcel quantities above cloud base *** c do 360 i=1,len tg=ticb(i) qg=qs(i,icb(i)) alv=lv0-clmcpv*(ticb(i)-t0) c c First iteration. c s=cpd+alv*alv*qg/(rrv*ticb(i)*ticb(i)) s=1./s ahg=cpd*tg+(cl-cpd)*qnk(i)*ticb(i)+alv*qg+gzicb(i) tg=tg+s*(ah0(i)-ahg) tg=max(tg,35.0) tc=tg-t0 denom=243.5+tc if(tc.ge.0.0)then es=6.112*exp(17.67*tc/denom) else es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) endif qg=eps*es/(p(i,icb(i))-es*(1.-eps)) c c Second iteration. c s=cpd+alv*alv*qg/(rrv*ticb(i)*ticb(i)) s=1./s ahg=cpd*tg+(cl-cpd)*qnk(i)*ticb(i)+alv*qg+gzicb(i) tg=tg+s*(ah0(i)-ahg) tg=max(tg,35.0) tc=tg-t0 denom=243.5+tc if(tc.ge.0.0)then es=6.112*exp(17.67*tc/denom) else es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) end if qg=eps*es/(p(i,icb(i))-es*(1.-eps)) c alv=lv0-clmcpv*(ticb(i)-273.15) tp(i,icb(i))=(ah0(i)-(cl-cpd)*qnk(i)*ticb(i) & -gz(i,icb(i))-alv*qg)/cpd clw(i,icb(i))=qnk(i)-qg clw(i,icb(i))=max(0.0,clw(i,icb(i))) rg=qg/(1.-qnk(i)) tvp(i,icb(i))=tp(i,icb(i))*(1.+rg*epsi) 360 continue c do 380 k=minorig,icbmax do 370 i=1,len tvp(i,k)=tvp(i,k)-tp(i,k)*qnk(i) 370 continue 380 continue c return end SUBROUTINE cv_trigger(len,nd,icb,cbmf,tv,tvp,iflag) implicit none !------------------------------------------------------------------- ! --- Test for instability. ! --- If there was no convection at last time step and parcel ! --- is stable at icb, then set iflag to 4. !------------------------------------------------------------------- #include "cvparam.h" c inputs: integer len, nd, icb(len) real cbmf(len), tv(len,nd), tvp(len,nd) c outputs: integer iflag(len) ! also an input c local variables: integer i do 390 i=1,len if((cbmf(i).eq.0.0) .and.(iflag(i).eq.0).and. & (tvp(i,icb(i)).le.(tv(i,icb(i))-dtmax)))iflag(i)=4 390 continue return end SUBROUTINE cv_compress( len,nloc,ncum,nd : ,iflag1,nk1,icb1 : ,cbmf1,plcl1,tnk1,qnk1,gznk1 : ,t1,q1,qs1,u1,v1,gz1 : ,h1,lv1,cpn1,p1,ph1,tv1,tp1,tvp1,clw1 o ,iflag,nk,icb o ,cbmf,plcl,tnk,qnk,gznk o ,t,q,qs,u,v,gz,h,lv,cpn,p,ph,tv,tp,tvp,clw o ,dph ) implicit none #include "cvparam.h" c inputs: integer len,ncum,nd,nloc integer iflag1(len),nk1(len),icb1(len) real cbmf1(len),plcl1(len),tnk1(len),qnk1(len),gznk1(len) real t1(len,nd),q1(len,nd),qs1(len,nd),u1(len,nd),v1(len,nd) real gz1(len,nd),h1(len,nd),lv1(len,nd),cpn1(len,nd) real p1(len,nd),ph1(len,nd+1),tv1(len,nd),tp1(len,nd) real tvp1(len,nd),clw1(len,nd) c outputs: integer iflag(nloc),nk(nloc),icb(nloc) real cbmf(nloc),plcl(nloc),tnk(nloc),qnk(nloc),gznk(nloc) real t(nloc,nd),q(nloc,nd),qs(nloc,nd),u(nloc,nd),v(nloc,nd) real gz(nloc,nd),h(nloc,nd),lv(nloc,nd),cpn(nloc,nd) real p(nloc,nd),ph(nloc,nd+1),tv(nloc,nd),tp(nloc,nd) real tvp(nloc,nd),clw(nloc,nd) real dph(nloc,nd) c local variables: integer i,k,nn do 110 k=1,nl+1 nn=0 do 100 i=1,len if(iflag1(i).eq.0)then nn=nn+1 t(nn,k)=t1(i,k) q(nn,k)=q1(i,k) qs(nn,k)=qs1(i,k) u(nn,k)=u1(i,k) v(nn,k)=v1(i,k) gz(nn,k)=gz1(i,k) h(nn,k)=h1(i,k) lv(nn,k)=lv1(i,k) cpn(nn,k)=cpn1(i,k) p(nn,k)=p1(i,k) ph(nn,k)=ph1(i,k) tv(nn,k)=tv1(i,k) tp(nn,k)=tp1(i,k) tvp(nn,k)=tvp1(i,k) clw(nn,k)=clw1(i,k) endif 100 continue 110 continue if (nn.ne.ncum) then print*,'strange! nn not equal to ncum: ',nn,ncum stop endif nn=0 do 150 i=1,len if(iflag1(i).eq.0)then nn=nn+1 cbmf(nn)=cbmf1(i) plcl(nn)=plcl1(i) tnk(nn)=tnk1(i) qnk(nn)=qnk1(i) gznk(nn)=gznk1(i) nk(nn)=nk1(i) icb(nn)=icb1(i) iflag(nn)=iflag1(i) endif 150 continue do 170 k=1,nl do 160 i=1,ncum dph(i,k)=ph(i,k)-ph(i,k+1) 160 continue 170 continue return end SUBROUTINE cv_undilute2(nloc,ncum,nd,icb,nk : ,tnk,qnk,gznk,t,q,qs,gz : ,p,dph,h,tv,lv o ,inb,inb1,tp,tvp,clw,hp,ep,sigp,frac) implicit none C--------------------------------------------------------------------- C Purpose: C FIND THE REST OF THE LIFTED PARCEL TEMPERATURES C & C COMPUTE THE PRECIPITATION EFFICIENCIES AND THE C FRACTION OF PRECIPITATION FALLING OUTSIDE OF CLOUD C & C FIND THE LEVEL OF NEUTRAL BUOYANCY C--------------------------------------------------------------------- #include "cvthermo.h" #include "cvparam.h" c inputs: integer ncum, nd, nloc integer icb(nloc), nk(nloc) real t(nloc,nd), q(nloc,nd), qs(nloc,nd), gz(nloc,nd) real p(nloc,nd), dph(nloc,nd) real tnk(nloc), qnk(nloc), gznk(nloc) real lv(nloc,nd), tv(nloc,nd), h(nloc,nd) c outputs: integer inb(nloc), inb1(nloc) real tp(nloc,nd), tvp(nloc,nd), clw(nloc,nd) real ep(nloc,nd), sigp(nloc,nd), hp(nloc,nd) real frac(nloc) c local variables: integer i, k real tg,qg,ahg,alv,s,tc,es,denom,rg,tca,elacrit real by, defrac real ah0(nloc), cape(nloc), capem(nloc), byp(nloc) logical lcape(nloc) !===================================================================== ! --- SOME INITIALIZATIONS !===================================================================== do 170 k=1,nl do 160 i=1,ncum ep(i,k)=0.0 sigp(i,k)=sigs 160 continue 170 continue !===================================================================== ! --- FIND THE REST OF THE LIFTED PARCEL TEMPERATURES !===================================================================== c c --- The procedure is to solve the equation. c cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. c c *** Calculate certain parcel quantities, including static energy *** c c do 240 i=1,ncum ah0(i)=(cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) & +qnk(i)*(lv0-clmcpv*(tnk(i)-t0))+gznk(i) 240 continue c c c *** Find lifted parcel quantities above cloud base *** c c do 300 k=minorig+1,nl do 290 i=1,ncum if(k.ge.(icb(i)+1))then tg=t(i,k) qg=qs(i,k) alv=lv0-clmcpv*(t(i,k)-t0) c c First iteration. c s=cpd+alv*alv*qg/(rrv*t(i,k)*t(i,k)) s=1./s ahg=cpd*tg+(cl-cpd)*qnk(i)*t(i,k)+alv*qg+gz(i,k) tg=tg+s*(ah0(i)-ahg) tg=max(tg,35.0) tc=tg-t0 denom=243.5+tc if(tc.ge.0.0)then es=6.112*exp(17.67*tc/denom) else es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) endif qg=eps*es/(p(i,k)-es*(1.-eps)) c c Second iteration. c s=cpd+alv*alv*qg/(rrv*t(i,k)*t(i,k)) s=1./s ahg=cpd*tg+(cl-cpd)*qnk(i)*t(i,k)+alv*qg+gz(i,k) tg=tg+s*(ah0(i)-ahg) tg=max(tg,35.0) tc=tg-t0 denom=243.5+tc if(tc.ge.0.0)then es=6.112*exp(17.67*tc/denom) else es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) endif qg=eps*es/(p(i,k)-es*(1.-eps)) c alv=lv0-clmcpv*(t(i,k)-t0) c print*,'cpd dans convect2 ',cpd c print*,'tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd' c print*,tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd tp(i,k)=(ah0(i)-(cl-cpd)*qnk(i)*t(i,k)-gz(i,k)-alv*qg)/cpd c if (.not.cpd.gt.1000.) then c print*,'CPD=',cpd c stop c endif clw(i,k)=qnk(i)-qg clw(i,k)=max(0.0,clw(i,k)) rg=qg/(1.-qnk(i)) tvp(i,k)=tp(i,k)*(1.+rg*epsi) endif 290 continue 300 continue c !===================================================================== ! --- SET THE PRECIPITATION EFFICIENCIES AND THE FRACTION OF ! --- PRECIPITATION FALLING OUTSIDE OF CLOUD ! --- THESE MAY BE FUNCTIONS OF TP(I), P(I) AND CLW(I) !===================================================================== c do 320 k=minorig+1,nl do 310 i=1,ncum if(k.ge.(nk(i)+1))then tca=tp(i,k)-t0 if(tca.ge.0.0)then elacrit=elcrit else elacrit=elcrit*(1.0-tca/tlcrit) endif elacrit=max(elacrit,0.0) ep(i,k)=1.0-elacrit/max(clw(i,k),1.0e-8) ep(i,k)=max(ep(i,k),0.0 ) ep(i,k)=min(ep(i,k),1.0 ) sigp(i,k)=sigs endif 310 continue 320 continue c !===================================================================== ! --- CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL ! --- VIRTUAL TEMPERATURE !===================================================================== c do 340 k=minorig+1,nl do 330 i=1,ncum if(k.ge.(icb(i)+1))then tvp(i,k)=tvp(i,k)*(1.0-qnk(i)+ep(i,k)*clw(i,k)) c print*,'i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k)' c print*, i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k) endif 330 continue 340 continue do 350 i=1,ncum tvp(i,nlp)=tvp(i,nl)-(gz(i,nlp)-gz(i,nl))/cpd 350 continue c c===================================================================== c --- FIND THE FIRST MODEL LEVEL (INB1) ABOVE THE PARCEL'S c --- HIGHEST LEVEL OF NEUTRAL BUOYANCY c --- AND THE HIGHEST LEVEL OF POSITIVE CAPE (INB) c===================================================================== c do 510 i=1,ncum cape(i)=0.0 capem(i)=0.0 inb(i)=icb(i)+1 inb1(i)=inb(i) 510 continue c c Originial Code c c do 530 k=minorig+1,nl-1 c do 520 i=1,ncum c if(k.ge.(icb(i)+1))then c by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) c byp=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) c cape(i)=cape(i)+by c if(by.ge.0.0)inb1(i)=k+1 c if(cape(i).gt.0.0)then c inb(i)=k+1 c capem(i)=cape(i) c endif c endif c520 continue c530 continue c do 540 i=1,ncum c byp=(tvp(i,nl)-tv(i,nl))*dph(i,nl)/p(i,nl) c cape(i)=capem(i)+byp c defrac=capem(i)-cape(i) c defrac=max(defrac,0.001) c frac(i)=-cape(i)/defrac c frac(i)=min(frac(i),1.0) c frac(i)=max(frac(i),0.0) c540 continue c c K Emanuel fix c c call zilch(byp,ncum) c do 530 k=minorig+1,nl-1 c do 520 i=1,ncum c if(k.ge.(icb(i)+1))then c by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) c cape(i)=cape(i)+by c if(by.ge.0.0)inb1(i)=k+1 c if(cape(i).gt.0.0)then c inb(i)=k+1 c capem(i)=cape(i) c byp(i)=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) c endif c endif c520 continue c530 continue c do 540 i=1,ncum c inb(i)=max(inb(i),inb1(i)) c cape(i)=capem(i)+byp(i) c defrac=capem(i)-cape(i) c defrac=max(defrac,0.001) c frac(i)=-cape(i)/defrac c frac(i)=min(frac(i),1.0) c frac(i)=max(frac(i),0.0) c540 continue c c J Teixeira fix c call zilch(byp,ncum) do 515 i=1,ncum lcape(i)=.true. 515 continue do 530 k=minorig+1,nl-1 do 520 i=1,ncum if(cape(i).lt.0.0)lcape(i)=.false. if((k.ge.(icb(i)+1)).and.lcape(i))then by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) byp(i)=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) cape(i)=cape(i)+by if(by.ge.0.0)inb1(i)=k+1 if(cape(i).gt.0.0)then inb(i)=k+1 capem(i)=cape(i) endif endif 520 continue 530 continue do 540 i=1,ncum cape(i)=capem(i)+byp(i) defrac=capem(i)-cape(i) defrac=max(defrac,0.001) frac(i)=-cape(i)/defrac frac(i)=min(frac(i),1.0) frac(i)=max(frac(i),0.0) 540 continue c c===================================================================== c --- CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL c===================================================================== c c initialization: do i=1,ncum*nlp hp(i,1)=h(i,1) enddo do 600 k=minorig+1,nl do 590 i=1,ncum if((k.ge.icb(i)).and.(k.le.inb(i)))then hp(i,k)=h(i,nk(i))+(lv(i,k)+(cpd-cpv)*t(i,k))*ep(i,k)*clw(i,k) endif 590 continue 600 continue c return end c SUBROUTINE cv_closure(nloc,ncum,nd,nk,icb : ,tv,tvp,p,ph,dph,plcl,cpn : ,iflag,cbmf) implicit none c inputs: integer ncum, nd, nloc integer nk(nloc), icb(nloc) real tv(nloc,nd), tvp(nloc,nd), p(nloc,nd), dph(nloc,nd) real ph(nloc,nd+1) ! caution nd instead ndp1 to be consistent... real plcl(nloc), cpn(nloc,nd) c outputs: integer iflag(nloc) real cbmf(nloc) ! also an input c local variables: integer i, k, icbmax real dtpbl(nloc), dtmin(nloc), tvpplcl(nloc), tvaplcl(nloc) real work(nloc) #include "cvthermo.h" #include "cvparam.h" c------------------------------------------------------------------- c Compute icbmax. c------------------------------------------------------------------- icbmax=2 do 230 i=1,ncum icbmax=max(icbmax,icb(i)) 230 continue c===================================================================== c --- CALCULATE CLOUD BASE MASS FLUX c===================================================================== c c tvpplcl = parcel temperature lifted adiabatically from level c icb-1 to the LCL. c tvaplcl = virtual temperature at the LCL. c do 610 i=1,ncum dtpbl(i)=0.0 tvpplcl(i)=tvp(i,icb(i)-1) & -rrd*tvp(i,icb(i)-1)*(p(i,icb(i)-1)-plcl(i)) & /(cpn(i,icb(i)-1)*p(i,icb(i)-1)) tvaplcl(i)=tv(i,icb(i)) & +(tvp(i,icb(i))-tvp(i,icb(i)+1))*(plcl(i)-p(i,icb(i))) & /(p(i,icb(i))-p(i,icb(i)+1)) 610 continue c------------------------------------------------------------------- c --- Interpolate difference between lifted parcel and c --- environmental temperatures to lifted condensation level c------------------------------------------------------------------- c c dtpbl = average of tvp-tv in the PBL (k=nk to icb-1). c do 630 k=minorig,icbmax do 620 i=1,ncum if((k.ge.nk(i)).and.(k.le.(icb(i)-1)))then dtpbl(i)=dtpbl(i)+(tvp(i,k)-tv(i,k))*dph(i,k) endif 620 continue 630 continue do 640 i=1,ncum dtpbl(i)=dtpbl(i)/(ph(i,nk(i))-ph(i,icb(i))) dtmin(i)=tvpplcl(i)-tvaplcl(i)+dtmax+dtpbl(i) 640 continue c c------------------------------------------------------------------- c --- Adjust cloud base mass flux c------------------------------------------------------------------- c do 650 i=1,ncum work(i)=cbmf(i) cbmf(i)=max(0.0,(1.0-damp)*cbmf(i)+0.1*alpha*dtmin(i)) if((work(i).eq.0.0).and.(cbmf(i).eq.0.0))then iflag(i)=3 endif 650 continue return end SUBROUTINE cv_mixing(nloc,ncum,nd,icb,nk,inb,inb1 : ,ph,t,q,qs,u,v,h,lv,qnk : ,hp,tv,tvp,ep,clw,cbmf : ,m,ment,qent,uent,vent,nent,sij,elij) implicit none #include "cvthermo.h" #include "cvparam.h" c inputs: integer ncum, nd, nloc integer icb(nloc), inb(nloc), inb1(nloc), nk(nloc) real cbmf(nloc), qnk(nloc) real ph(nloc,nd+1) real t(nloc,nd), q(nloc,nd), qs(nloc,nd), lv(nloc,nd) real u(nloc,nd), v(nloc,nd), h(nloc,nd), hp(nloc,nd) real tv(nloc,nd), tvp(nloc,nd), ep(nloc,nd), clw(nloc,nd) c outputs: integer nent(nloc,nd) real m(nloc,nd), ment(nloc,nd,nd), qent(nloc,nd,nd) real uent(nloc,nd,nd), vent(nloc,nd,nd) real sij(nloc,nd,nd), elij(nloc,nd,nd) c local variables: integer i, j, k, ij integer num1, num2 real dbo, qti, bf2, anum, denom, dei, altem, cwat, stemp real alt, qp1, smid, sjmin, sjmax, delp, delm real work(nloc), asij(nloc), smin(nloc), scrit(nloc) real bsum(nloc,nd) logical lwork(nloc) c===================================================================== c --- INITIALIZE VARIOUS ARRAYS USED IN THE COMPUTATIONS c===================================================================== c do 360 i=1,ncum*nlp nent(i,1)=0 m(i,1)=0.0 360 continue c do 400 k=1,nlp do 390 j=1,nlp do 385 i=1,ncum qent(i,k,j)=q(i,j) uent(i,k,j)=u(i,j) vent(i,k,j)=v(i,j) elij(i,k,j)=0.0 ment(i,k,j)=0.0 sij(i,k,j)=0.0 385 continue 390 continue 400 continue c c------------------------------------------------------------------- c --- Calculate rates of mixing, m(i) c------------------------------------------------------------------- c call zilch(work,ncum) c do 670 j=minorig+1,nl do 660 i=1,ncum if((j.ge.(icb(i)+1)).and.(j.le.inb(i)))then k=min(j,inb1(i)) dbo=abs(tv(i,k+1)-tvp(i,k+1)-tv(i,k-1)+tvp(i,k-1)) & +entp*0.04*(ph(i,k)-ph(i,k+1)) work(i)=work(i)+dbo m(i,j)=cbmf(i)*dbo endif 660 continue 670 continue do 690 k=minorig+1,nl do 680 i=1,ncum if((k.ge.(icb(i)+1)).and.(k.le.inb(i)))then m(i,k)=m(i,k)/work(i) endif 680 continue 690 continue c c c===================================================================== c --- CALCULATE ENTRAINED AIR MASS FLUX (ment), TOTAL WATER MIXING c --- RATIO (QENT), TOTAL CONDENSED WATER (elij), AND MIXING c --- FRACTION (sij) c===================================================================== c c do 750 i=minorig+1,nl do 710 j=minorig+1,nl do 700 ij=1,ncum if((i.ge.(icb(ij)+1)).and.(j.ge.icb(ij)) & .and.(i.le.inb(ij)).and.(j.le.inb(ij)))then qti=qnk(ij)-ep(ij,i)*clw(ij,i) bf2=1.+lv(ij,j)*lv(ij,j)*qs(ij,j) & /(rrv*t(ij,j)*t(ij,j)*cpd) anum=h(ij,j)-hp(ij,i)+(cpv-cpd)*t(ij,j)*(qti-q(ij,j)) denom=h(ij,i)-hp(ij,i)+(cpd-cpv)*(q(ij,i)-qti)*t(ij,j) dei=denom if(abs(dei).lt.0.01)dei=0.01 sij(ij,i,j)=anum/dei sij(ij,i,i)=1.0 altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) altem=altem/bf2 cwat=clw(ij,j)*(1.-ep(ij,j)) stemp=sij(ij,i,j) if((stemp.lt.0.0.or.stemp.gt.1.0.or. 1 altem.gt.cwat).and.j.gt.i)then anum=anum-lv(ij,j)*(qti-qs(ij,j)-cwat*bf2) denom=denom+lv(ij,j)*(q(ij,i)-qti) if(abs(denom).lt.0.01)denom=0.01 sij(ij,i,j)=anum/denom altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) altem=altem-(bf2-1.)*cwat endif if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then qent(ij,i,j)=sij(ij,i,j)*q(ij,i) & +(1.-sij(ij,i,j))*qti uent(ij,i,j)=sij(ij,i,j)*u(ij,i) & +(1.-sij(ij,i,j))*u(ij,nk(ij)) vent(ij,i,j)=sij(ij,i,j)*v(ij,i) & +(1.-sij(ij,i,j))*v(ij,nk(ij)) elij(ij,i,j)=altem elij(ij,i,j)=max(0.0,elij(ij,i,j)) ment(ij,i,j)=m(ij,i)/(1.-sij(ij,i,j)) nent(ij,i)=nent(ij,i)+1 endif sij(ij,i,j)=max(0.0,sij(ij,i,j)) sij(ij,i,j)=min(1.0,sij(ij,i,j)) endif 700 continue 710 continue c c *** If no air can entrain at level i assume that updraft detrains *** c *** at that level and calculate detrained air flux and properties *** c do 740 ij=1,ncum if((i.ge.(icb(ij)+1)).and.(i.le.inb(ij)) & .and.(nent(ij,i).eq.0))then ment(ij,i,i)=m(ij,i) qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) uent(ij,i,i)=u(ij,nk(ij)) vent(ij,i,i)=v(ij,nk(ij)) elij(ij,i,i)=clw(ij,i) sij(ij,i,i)=1.0 endif 740 continue 750 continue c do 770 i=1,ncum sij(i,inb(i),inb(i))=1.0 770 continue c c===================================================================== c --- NORMALIZE ENTRAINED AIR MASS FLUXES c --- TO REPRESENT EQUAL PROBABILITIES OF MIXING c===================================================================== c call zilch(bsum,ncum*nlp) do 780 ij=1,ncum lwork(ij)=.false. 780 continue do 789 i=minorig+1,nl c num1=0 do 779 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))num1=num1+1 779 continue if(num1.le.0)go to 789 c do 781 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))then lwork(ij)=(nent(ij,i).ne.0) qp1=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) anum=h(ij,i)-hp(ij,i)-lv(ij,i)*(qp1-qs(ij,i)) denom=h(ij,i)-hp(ij,i)+lv(ij,i)*(q(ij,i)-qp1) if(abs(denom).lt.0.01)denom=0.01 scrit(ij)=anum/denom alt=qp1-qs(ij,i)+scrit(ij)*(q(ij,i)-qp1) if(scrit(ij).lt.0.0.or.alt.lt.0.0)scrit(ij)=1.0 asij(ij)=0.0 smin(ij)=1.0 endif 781 continue do 783 j=minorig,nl c num2=0 do 778 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & .and.lwork(ij))num2=num2+1 778 continue if(num2.le.0)go to 783 c do 782 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)).and.lwork(ij))then if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then if(j.gt.i)then smid=min(sij(ij,i,j),scrit(ij)) sjmax=smid sjmin=smid if(smid.lt.smin(ij) & .and.sij(ij,i,j+1).lt.smid)then smin(ij)=smid sjmax=min(sij(ij,i,j+1),sij(ij,i,j),scrit(ij)) sjmin=max(sij(ij,i,j-1),sij(ij,i,j)) sjmin=min(sjmin,scrit(ij)) endif else sjmax=max(sij(ij,i,j+1),scrit(ij)) smid=max(sij(ij,i,j),scrit(ij)) sjmin=0.0 if(j.gt.1)sjmin=sij(ij,i,j-1) sjmin=max(sjmin,scrit(ij)) endif delp=abs(sjmax-smid) delm=abs(sjmin-smid) asij(ij)=asij(ij)+(delp+delm) & *(ph(ij,j)-ph(ij,j+1)) ment(ij,i,j)=ment(ij,i,j)*(delp+delm) & *(ph(ij,j)-ph(ij,j+1)) endif endif 782 continue 783 continue do 784 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)).and.lwork(ij))then asij(ij)=max(1.0e-21,asij(ij)) asij(ij)=1.0/asij(ij) bsum(ij,i)=0.0 endif 784 continue do 786 j=minorig,nl+1 do 785 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & .and.lwork(ij))then ment(ij,i,j)=ment(ij,i,j)*asij(ij) bsum(ij,i)=bsum(ij,i)+ment(ij,i,j) endif 785 continue 786 continue do 787 ij=1,ncum if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & .and.(bsum(ij,i).lt.1.0e-18).and.lwork(ij))then nent(ij,i)=0 ment(ij,i,i)=m(ij,i) qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) uent(ij,i,i)=u(ij,nk(ij)) vent(ij,i,i)=v(ij,nk(ij)) elij(ij,i,i)=clw(ij,i) sij(ij,i,i)=1.0 endif 787 continue 789 continue c return end SUBROUTINE cv_unsat(nloc,ncum,nd,inb,t,q,qs,gz,u,v,p,ph : ,h,lv,ep,sigp,clw,m,ment,elij : ,iflag,mp,qp,up,vp,wt,water,evap) implicit none #include "cvthermo.h" #include "cvparam.h" c inputs: integer ncum, nd, nloc integer inb(nloc) real t(nloc,nd), q(nloc,nd), qs(nloc,nd) real gz(nloc,nd), u(nloc,nd), v(nloc,nd) real p(nloc,nd), ph(nloc,nd+1), h(nloc,nd) real lv(nloc,nd), ep(nloc,nd), sigp(nloc,nd), clw(nloc,nd) real m(nloc,nd), ment(nloc,nd,nd), elij(nloc,nd,nd) c outputs: integer iflag(nloc) ! also an input real mp(nloc,nd), qp(nloc,nd), up(nloc,nd), vp(nloc,nd) real water(nloc,nd), evap(nloc,nd), wt(nloc,nd) c local variables: integer i,j,k,ij,num1 integer jtt(nloc) real awat, coeff, qsm, afac, sigt, b6, c6, revap real dhdp, fac, qstm, rat real wdtrain(nloc) logical lwork(nloc) c===================================================================== c --- PRECIPITATING DOWNDRAFT CALCULATION c===================================================================== c c Initializations: c do i = 1, ncum do k = 1, nl+1 wt(i,k) = omtsnow mp(i,k) = 0.0 evap(i,k) = 0.0 water(i,k) = 0.0 enddo enddo do 420 i=1,ncum qp(i,1)=q(i,1) up(i,1)=u(i,1) vp(i,1)=v(i,1) 420 continue do 440 k=2,nl+1 do 430 i=1,ncum qp(i,k)=q(i,k-1) up(i,k)=u(i,k-1) vp(i,k)=v(i,k-1) 430 continue 440 continue c *** Check whether ep(inb)=0, if so, skip precipitating *** c *** downdraft calculation *** c c c *** Integrate liquid water equation to find condensed water *** c *** and condensed water flux *** c c do 890 i=1,ncum jtt(i)=2 if(ep(i,inb(i)).le.0.0001)iflag(i)=2 if(iflag(i).eq.0)then lwork(i)=.true. else lwork(i)=.false. endif 890 continue c c *** Begin downdraft loop *** c c call zilch(wdtrain,ncum) do 899 i=nl+1,1,-1 c num1=0 do 879 ij=1,ncum if((i.le.inb(ij)).and.lwork(ij))num1=num1+1 879 continue if(num1.le.0)go to 899 c c c *** Calculate detrained precipitation *** c do 891 ij=1,ncum if((i.le.inb(ij)).and.(lwork(ij)))then wdtrain(ij)=g*ep(ij,i)*m(ij,i)*clw(ij,i) endif 891 continue c if(i.gt.1)then do 893 j=1,i-1 do 892 ij=1,ncum if((i.le.inb(ij)).and.(lwork(ij)))then awat=elij(ij,j,i)-(1.-ep(ij,i))*clw(ij,i) awat=max(0.0,awat) wdtrain(ij)=wdtrain(ij)+g*awat*ment(ij,j,i) endif 892 continue 893 continue endif c c *** Find rain water and evaporation using provisional *** c *** estimates of qp(i)and qp(i-1) *** c c c *** Value of terminal velocity and coeffecient of evaporation for snow *** c do 894 ij=1,ncum if((i.le.inb(ij)).and.(lwork(ij)))then coeff=coeffs wt(ij,i)=omtsnow c c *** Value of terminal velocity and coeffecient of evaporation for rain *** c if(t(ij,i).gt.273.0)then coeff=coeffr wt(ij,i)=omtrain endif qsm=0.5*(q(ij,i)+qp(ij,i+1)) afac=coeff*ph(ij,i)*(qs(ij,i)-qsm) & /(1.0e4+2.0e3*ph(ij,i)*qs(ij,i)) afac=max(afac,0.0) sigt=sigp(ij,i) sigt=max(0.0,sigt) sigt=min(1.0,sigt) b6=100.*(ph(ij,i)-ph(ij,i+1))*sigt*afac/wt(ij,i) c6=(water(ij,i+1)*wt(ij,i+1)+wdtrain(ij)/sigd)/wt(ij,i) revap=0.5*(-b6+sqrt(b6*b6+4.*c6)) evap(ij,i)=sigt*afac*revap water(ij,i)=revap*revap c c *** Calculate precipitating downdraft mass flux under *** c *** hydrostatic approximation *** c if(i.gt.1)then dhdp=(h(ij,i)-h(ij,i-1))/(p(ij,i-1)-p(ij,i)) dhdp=max(dhdp,10.0) mp(ij,i)=100.*ginv*lv(ij,i)*sigd*evap(ij,i)/dhdp mp(ij,i)=max(mp(ij,i),0.0) c c *** Add small amount of inertia to downdraft *** c fac=20.0/(ph(ij,i-1)-ph(ij,i)) mp(ij,i)=(fac*mp(ij,i+1)+mp(ij,i))/(1.+fac) c c *** Force mp to decrease linearly to zero *** c *** between about 950 mb and the surface *** c if(p(ij,i).gt.(0.949*p(ij,1)))then jtt(ij)=max(jtt(ij),i) mp(ij,i)=mp(ij,jtt(ij))*(p(ij,1)-p(ij,i)) & /(p(ij,1)-p(ij,jtt(ij))) endif endif c c *** Find mixing ratio of precipitating downdraft *** c if(i.ne.inb(ij))then if(i.eq.1)then qstm=qs(ij,1) else qstm=qs(ij,i-1) endif if(mp(ij,i).gt.mp(ij,i+1))then rat=mp(ij,i+1)/mp(ij,i) qp(ij,i)=qp(ij,i+1)*rat+q(ij,i)*(1.0-rat)+100.*ginv* & sigd*(ph(ij,i)-ph(ij,i+1))*(evap(ij,i)/mp(ij,i)) up(ij,i)=up(ij,i+1)*rat+u(ij,i)*(1.-rat) vp(ij,i)=vp(ij,i+1)*rat+v(ij,i)*(1.-rat) else if(mp(ij,i+1).gt.0.0)then qp(ij,i)=(gz(ij,i+1)-gz(ij,i) & +qp(ij,i+1)*(lv(ij,i+1)+t(ij,i+1) & *(cl-cpd))+cpd*(t(ij,i+1)-t(ij,i))) & /(lv(ij,i)+t(ij,i)*(cl-cpd)) up(ij,i)=up(ij,i+1) vp(ij,i)=vp(ij,i+1) endif endif qp(ij,i)=min(qp(ij,i),qstm) qp(ij,i)=max(qp(ij,i),0.0) endif endif 894 continue 899 continue c return end SUBROUTINE cv_yield(nloc,ncum,nd,nk,icb,inb,delt : ,t,q,u,v,gz,p,ph,h,hp,lv,cpn : ,ep,clw,frac,m,mp,qp,up,vp : ,wt,water,evap : ,ment,qent,uent,vent,nent,elij : ,tv,tvp o ,iflag,wd,qprime,tprime o ,precip,cbmf,ft,fq,fu,fv,Ma,qcondc) implicit none #include "cvthermo.h" #include "cvparam.h" c inputs integer ncum, nd, nloc integer nk(nloc), icb(nloc), inb(nloc) integer nent(nloc,nd) real delt real t(nloc,nd), q(nloc,nd), u(nloc,nd), v(nloc,nd) real gz(nloc,nd) real p(nloc,nd), ph(nloc,nd+1), h(nloc,nd) real hp(nloc,nd), lv(nloc,nd) real cpn(nloc,nd), ep(nloc,nd), clw(nloc,nd), frac(nloc) real m(nloc,nd), mp(nloc,nd), qp(nloc,nd) real up(nloc,nd), vp(nloc,nd) real wt(nloc,nd), water(nloc,nd), evap(nloc,nd) real ment(nloc,nd,nd), qent(nloc,nd,nd), elij(nloc,nd,nd) real uent(nloc,nd,nd), vent(nloc,nd,nd) real tv(nloc,nd), tvp(nloc,nd) c outputs integer iflag(nloc) ! also an input real cbmf(nloc) ! also an input real wd(nloc), tprime(nloc), qprime(nloc) real precip(nloc) real ft(nloc,nd), fq(nloc,nd), fu(nloc,nd), fv(nloc,nd) real Ma(nloc,nd) real qcondc(nloc,nd) c local variables integer i,j,ij,k,num1 real dpinv,cpinv,awat,fqold,ftold,fuold,fvold,delti real work(nloc), am(nloc),amp1(nloc),ad(nloc) real ents(nloc), uav(nloc),vav(nloc),lvcp(nloc,nd) real qcond(nloc,nd), nqcond(nloc,nd), wa(nloc,nd) ! cld real siga(nloc,nd), ax(nloc,nd), mac(nloc,nd) ! cld c -- initializations: delti = 1.0/delt do 160 i=1,ncum precip(i)=0.0 wd(i)=0.0 tprime(i)=0.0 qprime(i)=0.0 do 170 k=1,nl+1 ft(i,k)=0.0 fu(i,k)=0.0 fv(i,k)=0.0 fq(i,k)=0.0 lvcp(i,k)=lv(i,k)/cpn(i,k) qcondc(i,k)=0.0 ! cld qcond(i,k)=0.0 ! cld nqcond(i,k)=0.0 ! cld 170 continue 160 continue c c *** Calculate surface precipitation in mm/day *** c do 1190 i=1,ncum if(iflag(i).le.1)then cc precip(i)=precip(i)+wt(i,1)*sigd*water(i,1)*3600.*24000. cc & /(rowl*g) cc precip(i)=precip(i)*delt/86400. precip(i) = wt(i,1)*sigd*water(i,1)*86400/g endif 1190 continue c c c *** Calculate downdraft velocity scale and surface temperature and *** c *** water vapor fluctuations *** c do i=1,ncum wd(i)=betad*abs(mp(i,icb(i)))*0.01*rrd*t(i,icb(i)) : /(sigd*p(i,icb(i))) qprime(i)=0.5*(qp(i,1)-q(i,1)) tprime(i)=lv0*qprime(i)/cpd enddo c c *** Calculate tendencies of lowest level potential temperature *** c *** and mixing ratio *** c do 1200 i=1,ncum work(i)=0.01/(ph(i,1)-ph(i,2)) am(i)=0.0 1200 continue do 1220 k=2,nl do 1210 i=1,ncum if((nk(i).eq.1).and.(k.le.inb(i)).and.(nk(i).eq.1))then am(i)=am(i)+m(i,k) endif 1210 continue 1220 continue do 1240 i=1,ncum if((g*work(i)*am(i)).ge.delti)iflag(i)=1 ft(i,1)=ft(i,1)+g*work(i)*am(i)*(t(i,2)-t(i,1) & +(gz(i,2)-gz(i,1))/cpn(i,1)) ft(i,1)=ft(i,1)-lvcp(i,1)*sigd*evap(i,1) ft(i,1)=ft(i,1)+sigd*wt(i,2)*(cl-cpd)*water(i,2)*(t(i,2) & -t(i,1))*work(i)/cpn(i,1) fq(i,1)=fq(i,1)+g*mp(i,2)*(qp(i,2)-q(i,1))* & work(i)+sigd*evap(i,1) fq(i,1)=fq(i,1)+g*am(i)*(q(i,2)-q(i,1))*work(i) fu(i,1)=fu(i,1)+g*work(i)*(mp(i,2)*(up(i,2)-u(i,1)) & +am(i)*(u(i,2)-u(i,1))) fv(i,1)=fv(i,1)+g*work(i)*(mp(i,2)*(vp(i,2)-v(i,1)) & +am(i)*(v(i,2)-v(i,1))) 1240 continue do 1260 j=2,nl do 1250 i=1,ncum if(j.le.inb(i))then fq(i,1)=fq(i,1) & +g*work(i)*ment(i,j,1)*(qent(i,j,1)-q(i,1)) fu(i,1)=fu(i,1) & +g*work(i)*ment(i,j,1)*(uent(i,j,1)-u(i,1)) fv(i,1)=fv(i,1) & +g*work(i)*ment(i,j,1)*(vent(i,j,1)-v(i,1)) endif 1250 continue 1260 continue c c *** Calculate tendencies of potential temperature and mixing ratio *** c *** at levels above the lowest level *** c c *** First find the net saturated updraft and downdraft mass fluxes *** c *** through each level *** c do 1500 i=2,nl+1 c num1=0 do 1265 ij=1,ncum if(i.le.inb(ij))num1=num1+1 1265 continue if(num1.le.0)go to 1500 c call zilch(amp1,ncum) call zilch(ad,ncum) c do 1280 k=i+1,nl+1 do 1270 ij=1,ncum if((i.ge.nk(ij)).and.(i.le.inb(ij)) & .and.(k.le.(inb(ij)+1)))then amp1(ij)=amp1(ij)+m(ij,k) endif 1270 continue 1280 continue c do 1310 k=1,i do 1300 j=i+1,nl+1 do 1290 ij=1,ncum if((j.le.(inb(ij)+1)).and.(i.le.inb(ij)))then amp1(ij)=amp1(ij)+ment(ij,k,j) endif 1290 continue 1300 continue 1310 continue do 1340 k=1,i-1 do 1330 j=i,nl+1 do 1320 ij=1,ncum if((i.le.inb(ij)).and.(j.le.inb(ij)))then ad(ij)=ad(ij)+ment(ij,j,k) endif 1320 continue 1330 continue 1340 continue c do 1350 ij=1,ncum if(i.le.inb(ij))then dpinv=0.01/(ph(ij,i)-ph(ij,i+1)) cpinv=1.0/cpn(ij,i) c ft(ij,i)=ft(ij,i) & +g*dpinv*(amp1(ij)*(t(ij,i+1)-t(ij,i) & +(gz(ij,i+1)-gz(ij,i))*cpinv) & -ad(ij)*(t(ij,i)-t(ij,i-1)+(gz(ij,i)-gz(ij,i-1))*cpinv)) & -sigd*lvcp(ij,i)*evap(ij,i) ft(ij,i)=ft(ij,i)+g*dpinv*ment(ij,i,i)*(hp(ij,i)-h(ij,i)+ & t(ij,i)*(cpv-cpd)*(q(ij,i)-qent(ij,i,i)))*cpinv ft(ij,i)=ft(ij,i)+sigd*wt(ij,i+1)*(cl-cpd)*water(ij,i+1)* & (t(ij,i+1)-t(ij,i))*dpinv*cpinv fq(ij,i)=fq(ij,i)+g*dpinv*(amp1(ij)*(q(ij,i+1)-q(ij,i))- & ad(ij)*(q(ij,i)-q(ij,i-1))) fu(ij,i)=fu(ij,i)+g*dpinv*(amp1(ij)*(u(ij,i+1)-u(ij,i))- & ad(ij)*(u(ij,i)-u(ij,i-1))) fv(ij,i)=fv(ij,i)+g*dpinv*(amp1(ij)*(v(ij,i+1)-v(ij,i))- & ad(ij)*(v(ij,i)-v(ij,i-1))) endif 1350 continue do 1370 k=1,i-1 do 1360 ij=1,ncum if(i.le.inb(ij))then awat=elij(ij,k,i)-(1.-ep(ij,i))*clw(ij,i) awat=max(awat,0.0) fq(ij,i)=fq(ij,i) & +g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-awat-q(ij,i)) fu(ij,i)=fu(ij,i) & +g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) fv(ij,i)=fv(ij,i) & +g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) c (saturated updrafts resulting from mixing) ! cld qcond(ij,i)=qcond(ij,i)+(elij(ij,k,i)-awat) ! cld nqcond(ij,i)=nqcond(ij,i)+1. ! cld endif 1360 continue 1370 continue do 1390 k=i,nl+1 do 1380 ij=1,ncum if((i.le.inb(ij)).and.(k.le.inb(ij)))then fq(ij,i)=fq(ij,i) & +g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-q(ij,i)) fu(ij,i)=fu(ij,i) & +g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) fv(ij,i)=fv(ij,i) & +g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) endif 1380 continue 1390 continue do 1400 ij=1,ncum if(i.le.inb(ij))then fq(ij,i)=fq(ij,i) & +sigd*evap(ij,i)+g*(mp(ij,i+1)* & (qp(ij,i+1)-q(ij,i)) & -mp(ij,i)*(qp(ij,i)-q(ij,i-1)))*dpinv fu(ij,i)=fu(ij,i) & +g*(mp(ij,i+1)*(up(ij,i+1)-u(ij,i))-mp(ij,i)* & (up(ij,i)-u(ij,i-1)))*dpinv fv(ij,i)=fv(ij,i) & +g*(mp(ij,i+1)*(vp(ij,i+1)-v(ij,i))-mp(ij,i)* & (vp(ij,i)-v(ij,i-1)))*dpinv C (saturated downdrafts resulting from mixing) ! cld do k=i+1,inb(ij) ! cld qcond(ij,i)=qcond(ij,i)+elij(ij,k,i) ! cld nqcond(ij,i)=nqcond(ij,i)+1. ! cld enddo ! cld C (particular case: no detraining level is found) ! cld if (nent(ij,i).eq.0) then ! cld qcond(ij,i)=qcond(ij,i)+(1.-ep(ij,i))*clw(ij,i) ! cld nqcond(ij,i)=nqcond(ij,i)+1. ! cld endif ! cld if (nqcond(ij,i).ne.0.) then ! cld qcond(ij,i)=qcond(ij,i)/nqcond(ij,i) ! cld endif ! cld endif 1400 continue 1500 continue c c *** Adjust tendencies at top of convection layer to reflect *** c *** actual position of the level zero cape *** c do 503 ij=1,ncum fqold=fq(ij,inb(ij)) fq(ij,inb(ij))=fq(ij,inb(ij))*(1.-frac(ij)) fq(ij,inb(ij)-1)=fq(ij,inb(ij)-1) & +frac(ij)*fqold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ 1 (ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*lv(ij,inb(ij)) & /lv(ij,inb(ij)-1) ftold=ft(ij,inb(ij)) ft(ij,inb(ij))=ft(ij,inb(ij))*(1.-frac(ij)) ft(ij,inb(ij)-1)=ft(ij,inb(ij)-1) & +frac(ij)*ftold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ 1 (ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*cpn(ij,inb(ij)) & /cpn(ij,inb(ij)-1) fuold=fu(ij,inb(ij)) fu(ij,inb(ij))=fu(ij,inb(ij))*(1.-frac(ij)) fu(ij,inb(ij)-1)=fu(ij,inb(ij)-1) & +frac(ij)*fuold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ 1 (ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) fvold=fv(ij,inb(ij)) fv(ij,inb(ij))=fv(ij,inb(ij))*(1.-frac(ij)) fv(ij,inb(ij)-1)=fv(ij,inb(ij)-1) & +frac(ij)*fvold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ 1 (ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) 503 continue c c *** Very slightly adjust tendencies to force exact *** c *** enthalpy, momentum and tracer conservation *** c do 682 ij=1,ncum ents(ij)=0.0 uav(ij)=0.0 vav(ij)=0.0 do 681 i=1,inb(ij) ents(ij)=ents(ij) & +(cpn(ij,i)*ft(ij,i)+lv(ij,i)*fq(ij,i))*(ph(ij,i)-ph(ij,i+1)) uav(ij)=uav(ij)+fu(ij,i)*(ph(ij,i)-ph(ij,i+1)) vav(ij)=vav(ij)+fv(ij,i)*(ph(ij,i)-ph(ij,i+1)) 681 continue 682 continue do 683 ij=1,ncum ents(ij)=ents(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) uav(ij)=uav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) vav(ij)=vav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) 683 continue do 642 ij=1,ncum do 641 i=1,inb(ij) ft(ij,i)=ft(ij,i)-ents(ij)/cpn(ij,i) fu(ij,i)=(1.-cu)*(fu(ij,i)-uav(ij)) fv(ij,i)=(1.-cu)*(fv(ij,i)-vav(ij)) 641 continue 642 continue c do 1810 k=1,nl+1 do 1800 i=1,ncum if((q(i,k)+delt*fq(i,k)).lt.0.0)iflag(i)=10 1800 continue 1810 continue c c do 1900 i=1,ncum if(iflag(i).gt.2)then precip(i)=0.0 cbmf(i)=0.0 endif 1900 continue do 1920 k=1,nl do 1910 i=1,ncum if(iflag(i).gt.2)then ft(i,k)=0.0 fq(i,k)=0.0 fu(i,k)=0.0 fv(i,k)=0.0 qcondc(i,k)=0.0 ! cld endif 1910 continue 1920 continue do k=1,nl+1 do i=1,ncum Ma(i,k) = 0. enddo enddo do k=nl,1,-1 do i=1,ncum Ma(i,k) = Ma(i,k+1)+m(i,k) enddo enddo c c *** diagnose the in-cloud mixing ratio *** ! cld c *** of condensed water *** ! cld c ! cld DO ij=1,ncum ! cld do i=1,nd ! cld mac(ij,i)=0.0 ! cld wa(ij,i)=0.0 ! cld siga(ij,i)=0.0 ! cld enddo ! cld do i=nk(ij),inb(ij) ! cld do k=i+1,inb(ij)+1 ! cld mac(ij,i)=mac(ij,i)+m(ij,k) ! cld enddo ! cld enddo ! cld do i=icb(ij),inb(ij)-1 ! cld ax(ij,i)=0. ! cld do j=icb(ij),i ! cld ax(ij,i)=ax(ij,i)+rrd*(tvp(ij,j)-tv(ij,j)) ! cld : *(ph(ij,j)-ph(ij,j+1))/p(ij,j) ! cld enddo ! cld if (ax(ij,i).gt.0.0) then ! cld wa(ij,i)=sqrt(2.*ax(ij,i)) ! cld endif ! cld enddo ! cld do i=1,nl ! cld if (wa(ij,i).gt.0.0) ! cld : siga(ij,i)=mac(ij,i)/wa(ij,i) ! cld : *rrd*tvp(ij,i)/p(ij,i)/100./delta ! cld siga(ij,i) = min(siga(ij,i),1.0) ! cld qcondc(ij,i)=siga(ij,i)*clw(ij,i)*(1.-ep(ij,i)) ! cld : + (1.-siga(ij,i))*qcond(ij,i) ! cld enddo ! cld ENDDO ! cld return end SUBROUTINE cv_uncompress(nloc,len,ncum,nd,idcum : ,iflag : ,precip,cbmf : ,ft,fq,fu,fv : ,Ma,qcondc : ,iflag1 : ,precip1,cbmf1 : ,ft1,fq1,fu1,fv1 : ,Ma1,qcondc1 : ) implicit none #include "cvparam.h" c inputs: integer len, ncum, nd, nloc integer idcum(nloc) integer iflag(nloc) real precip(nloc), cbmf(nloc) real ft(nloc,nd), fq(nloc,nd), fu(nloc,nd), fv(nloc,nd) real Ma(nloc,nd) real qcondc(nloc,nd) !cld c outputs: integer iflag1(len) real precip1(len), cbmf1(len) real ft1(len,nd), fq1(len,nd), fu1(len,nd), fv1(len,nd) real Ma1(len,nd) real qcondc1(len,nd) !cld c local variables: integer i,k do 2000 i=1,ncum precip1(idcum(i))=precip(i) cbmf1(idcum(i))=cbmf(i) iflag1(idcum(i))=iflag(i) 2000 continue do 2020 k=1,nl do 2010 i=1,ncum ft1(idcum(i),k)=ft(i,k) fq1(idcum(i),k)=fq(i,k) fu1(idcum(i),k)=fu(i,k) fv1(idcum(i),k)=fv(i,k) Ma1(idcum(i),k)=Ma(i,k) qcondc1(idcum(i),k)=qcondc(i,k) 2010 continue 2020 continue return end