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SUBROUTINE cv_mixing(nloc,ncum,nd,icb,nk,inb,inb1 & |
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,ph,t,q,qs,u,v,h,lv,qnk & |
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,hp,tv,tvp,ep,clw,cbmf & |
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,m,ment,qent,uent,vent,nent,sij,elij) |
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use cvthermo |
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use cvparam |
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implicit none |
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|
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|
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! inputs: |
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integer ncum, nd, nloc |
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integer icb(nloc), inb(nloc), inb1(nloc), nk(nloc) |
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real cbmf(nloc), qnk(nloc) |
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real ph(nloc,nd+1) |
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real t(nloc,nd), q(nloc,nd), qs(nloc,nd), lv(nloc,nd) |
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real u(nloc,nd), v(nloc,nd), h(nloc,nd), hp(nloc,nd) |
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real tv(nloc,nd), tvp(nloc,nd), ep(nloc,nd), clw(nloc,nd) |
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|
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! outputs: |
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integer nent(nloc,nd) |
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real m(nloc,nd), ment(nloc,nd,nd), qent(nloc,nd,nd) |
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real uent(nloc,nd,nd), vent(nloc,nd,nd) |
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real sij(nloc,nd,nd), elij(nloc,nd,nd) |
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|
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! local variables: |
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integer i, j, k, ij |
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integer num1, num2 |
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real dbo, qti, bf2, anum, denom, dei, altem, cwat, stemp |
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real alt, qp1, smid, sjmin, sjmax, delp, delm |
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real work(nloc), asij(nloc), smin(nloc), scrit(nloc) |
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real bsum(nloc,nd) |
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logical lwork(nloc) |
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|
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!===================================================================== |
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! --- INITIALIZE VARIOUS ARRAYS USED IN THE COMPUTATIONS |
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!===================================================================== |
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! |
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do 360 i=1,ncum*nlp |
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nent(i,1)=0 |
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m(i,1)=0.0 |
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360 continue |
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! |
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do 400 k=1,nlp |
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do 390 j=1,nlp |
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do 385 i=1,ncum |
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qent(i,k,j)=q(i,j) |
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uent(i,k,j)=u(i,j) |
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vent(i,k,j)=v(i,j) |
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elij(i,k,j)=0.0 |
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ment(i,k,j)=0.0 |
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sij(i,k,j)=0.0 |
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385 continue |
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390 continue |
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400 continue |
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! |
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!------------------------------------------------------------------- |
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! --- Calculate rates of mixing, m(i) |
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!------------------------------------------------------------------- |
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! |
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call zilch(work,ncum) |
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! |
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do 670 j=minorig+1,nl |
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do 660 i=1,ncum |
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if((j.ge.(icb(i)+1)).and.(j.le.inb(i)))then |
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k=min(j,inb1(i)) |
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dbo=abs(tv(i,k+1)-tvp(i,k+1)-tv(i,k-1)+tvp(i,k-1)) & |
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+entp*0.04*(ph(i,k)-ph(i,k+1)) |
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work(i)=work(i)+dbo |
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m(i,j)=cbmf(i)*dbo |
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endif |
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660 continue |
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670 continue |
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do 690 k=minorig+1,nl |
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do 680 i=1,ncum |
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if((k.ge.(icb(i)+1)).and.(k.le.inb(i)))then |
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m(i,k)=m(i,k)/work(i) |
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endif |
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680 continue |
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690 continue |
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! |
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! |
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!===================================================================== |
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! --- CALCULATE ENTRAINED AIR MASS FLUX (ment), TOTAL WATER MIXING |
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! --- RATIO (QENT), TOTAL CONDENSED WATER (elij), AND MIXING |
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! --- FRACTION (sij) |
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!===================================================================== |
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! |
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! |
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do 750 i=minorig+1,nl |
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do 710 j=minorig+1,nl |
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do 700 ij=1,ncum |
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if((i.ge.(icb(ij)+1)).and.(j.ge.icb(ij)) & |
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.and.(i.le.inb(ij)).and.(j.le.inb(ij)))then |
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qti=qnk(ij)-ep(ij,i)*clw(ij,i) |
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bf2=1.+lv(ij,j)*lv(ij,j)*qs(ij,j) & |
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/(rrv*t(ij,j)*t(ij,j)*cpd) |
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anum=h(ij,j)-hp(ij,i)+(cpv-cpd)*t(ij,j)*(qti-q(ij,j)) |
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denom=h(ij,i)-hp(ij,i)+(cpd-cpv)*(q(ij,i)-qti)*t(ij,j) |
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dei=denom |
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if(abs(dei).lt.0.01)dei=0.01 |
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sij(ij,i,j)=anum/dei |
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sij(ij,i,i)=1.0 |
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altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
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altem=altem/bf2 |
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cwat=clw(ij,j)*(1.-ep(ij,j)) |
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stemp=sij(ij,i,j) |
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if((stemp.lt.0.0.or.stemp.gt.1.0.or. & |
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altem.gt.cwat).and.j.gt.i)then |
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anum=anum-lv(ij,j)*(qti-qs(ij,j)-cwat*bf2) |
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denom=denom+lv(ij,j)*(q(ij,i)-qti) |
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if(abs(denom).lt.0.01)denom=0.01 |
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sij(ij,i,j)=anum/denom |
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altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
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altem=altem-(bf2-1.)*cwat |
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endif |
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if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
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qent(ij,i,j)=sij(ij,i,j)*q(ij,i) & |
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+(1.-sij(ij,i,j))*qti |
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uent(ij,i,j)=sij(ij,i,j)*u(ij,i) & |
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+(1.-sij(ij,i,j))*u(ij,nk(ij)) |
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vent(ij,i,j)=sij(ij,i,j)*v(ij,i) & |
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+(1.-sij(ij,i,j))*v(ij,nk(ij)) |
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elij(ij,i,j)=altem |
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elij(ij,i,j)=max(0.0,elij(ij,i,j)) |
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ment(ij,i,j)=m(ij,i)/(1.-sij(ij,i,j)) |
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nent(ij,i)=nent(ij,i)+1 |
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endif |
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sij(ij,i,j)=max(0.0,sij(ij,i,j)) |
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sij(ij,i,j)=min(1.0,sij(ij,i,j)) |
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endif |
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700 continue |
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710 continue |
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! |
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! *** If no air can entrain at level i assume that updraft detrains *** |
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! *** at that level and calculate detrained air flux and properties *** |
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! |
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do 740 ij=1,ncum |
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if((i.ge.(icb(ij)+1)).and.(i.le.inb(ij)) & |
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.and.(nent(ij,i).eq.0))then |
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ment(ij,i,i)=m(ij,i) |
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qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
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uent(ij,i,i)=u(ij,nk(ij)) |
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vent(ij,i,i)=v(ij,nk(ij)) |
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elij(ij,i,i)=clw(ij,i) |
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sij(ij,i,i)=1.0 |
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endif |
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740 continue |
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750 continue |
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! |
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do 770 i=1,ncum |
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sij(i,inb(i),inb(i))=1.0 |
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770 continue |
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! |
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!===================================================================== |
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! --- NORMALIZE ENTRAINED AIR MASS FLUXES |
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! --- TO REPRESENT EQUAL PROBABILITIES OF MIXING |
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!===================================================================== |
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! |
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call zilch(bsum,ncum*nlp) |
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do 780 ij=1,ncum |
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lwork(ij)=.false. |
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780 continue |
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do 789 i=minorig+1,nl |
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! |
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num1=0 |
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do 779 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))num1=num1+1 |
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779 continue |
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if(num1.le.0)go to 789 |
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! |
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do 781 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))then |
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lwork(ij)=(nent(ij,i).ne.0) |
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qp1=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
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anum=h(ij,i)-hp(ij,i)-lv(ij,i)*(qp1-qs(ij,i)) |
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denom=h(ij,i)-hp(ij,i)+lv(ij,i)*(q(ij,i)-qp1) |
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if(abs(denom).lt.0.01)denom=0.01 |
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scrit(ij)=anum/denom |
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alt=qp1-qs(ij,i)+scrit(ij)*(q(ij,i)-qp1) |
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if(scrit(ij).lt.0.0.or.alt.lt.0.0)scrit(ij)=1.0 |
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asij(ij)=0.0 |
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smin(ij)=1.0 |
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endif |
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781 continue |
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do 783 j=minorig,nl |
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! |
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num2=0 |
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do 778 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
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.and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
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.and.lwork(ij))num2=num2+1 |
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778 continue |
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if(num2.le.0)go to 783 |
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! |
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do 782 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
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.and.(j.ge.icb(ij)).and.(j.le.inb(ij)).and.lwork(ij))then |
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if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
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if(j.gt.i)then |
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smid=min(sij(ij,i,j),scrit(ij)) |
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sjmax=smid |
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sjmin=smid |
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if(smid.lt.smin(ij) & |
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.and.sij(ij,i,j+1).lt.smid)then |
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smin(ij)=smid |
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sjmax=min(sij(ij,i,j+1),sij(ij,i,j),scrit(ij)) |
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sjmin=max(sij(ij,i,j-1),sij(ij,i,j)) |
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sjmin=min(sjmin,scrit(ij)) |
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endif |
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else |
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sjmax=max(sij(ij,i,j+1),scrit(ij)) |
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smid=max(sij(ij,i,j),scrit(ij)) |
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sjmin=0.0 |
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if(j.gt.1)sjmin=sij(ij,i,j-1) |
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sjmin=max(sjmin,scrit(ij)) |
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endif |
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delp=abs(sjmax-smid) |
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delm=abs(sjmin-smid) |
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asij(ij)=asij(ij)+(delp+delm) & |
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*(ph(ij,j)-ph(ij,j+1)) |
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ment(ij,i,j)=ment(ij,i,j)*(delp+delm) & |
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*(ph(ij,j)-ph(ij,j+1)) |
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endif |
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endif |
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782 continue |
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783 continue |
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do 784 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)).and.lwork(ij))then |
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asij(ij)=max(1.0e-21,asij(ij)) |
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asij(ij)=1.0/asij(ij) |
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bsum(ij,i)=0.0 |
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endif |
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784 continue |
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do 786 j=minorig,nl+1 |
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do 785 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
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.and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
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.and.lwork(ij))then |
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ment(ij,i,j)=ment(ij,i,j)*asij(ij) |
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bsum(ij,i)=bsum(ij,i)+ment(ij,i,j) |
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endif |
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785 continue |
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786 continue |
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do 787 ij=1,ncum |
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if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
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.and.(bsum(ij,i).lt.1.0e-18).and.lwork(ij))then |
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nent(ij,i)=0 |
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ment(ij,i,i)=m(ij,i) |
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qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
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uent(ij,i,i)=u(ij,nk(ij)) |
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vent(ij,i,i)=v(ij,nk(ij)) |
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elij(ij,i,i)=clw(ij,i) |
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sij(ij,i,i)=1.0 |
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endif |
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787 continue |
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789 continue |
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! |
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return |
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end |
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