| 1 |
|
| 2 |
SUBROUTINE cv_mixing(nloc,ncum,nd,icb,nk,inb,inb1 & |
| 3 |
,ph,t,q,qs,u,v,h,lv,qnk & |
| 4 |
,hp,tv,tvp,ep,clw,cbmf & |
| 5 |
,m,ment,qent,uent,vent,nent,sij,elij) |
| 6 |
use cvthermo |
| 7 |
use cvparam |
| 8 |
implicit none |
| 9 |
|
| 10 |
|
| 11 |
! inputs: |
| 12 |
integer, intent(in):: ncum, nd, nloc |
| 13 |
integer icb(nloc), inb(nloc), inb1(nloc), nk(nloc) |
| 14 |
real cbmf(nloc), qnk(nloc) |
| 15 |
real ph(nloc,nd+1) |
| 16 |
real t(nloc,nd), q(nloc,nd), qs(nloc,nd), lv(nloc,nd) |
| 17 |
real u(nloc,nd), v(nloc,nd), h(nloc,nd), hp(nloc,nd) |
| 18 |
real tv(nloc,nd), tvp(nloc,nd), ep(nloc,nd), clw(nloc,nd) |
| 19 |
|
| 20 |
! outputs: |
| 21 |
integer nent(nloc,nd) |
| 22 |
real m(nloc,nd), ment(nloc,nd,nd), qent(nloc,nd,nd) |
| 23 |
real uent(nloc,nd,nd), vent(nloc,nd,nd) |
| 24 |
real sij(nloc,nd,nd), elij(nloc,nd,nd) |
| 25 |
|
| 26 |
! local variables: |
| 27 |
integer i, j, k, ij |
| 28 |
integer num1, num2 |
| 29 |
real dbo, qti, bf2, anum, denom, dei, altem, cwat, stemp |
| 30 |
real alt, qp1, smid, sjmin, sjmax, delp, delm |
| 31 |
real work(nloc), asij(nloc), smin(nloc), scrit(nloc) |
| 32 |
real bsum(nloc,nd) |
| 33 |
logical lwork(nloc) |
| 34 |
|
| 35 |
!===================================================================== |
| 36 |
! --- INITIALIZE VARIOUS ARRAYS USED IN THE COMPUTATIONS |
| 37 |
!===================================================================== |
| 38 |
! |
| 39 |
do 360 i=1,ncum*nlp |
| 40 |
nent(i,1)=0 |
| 41 |
m(i,1)=0.0 |
| 42 |
360 continue |
| 43 |
! |
| 44 |
do 400 k=1,nlp |
| 45 |
do 390 j=1,nlp |
| 46 |
do 385 i=1,ncum |
| 47 |
qent(i,k,j)=q(i,j) |
| 48 |
uent(i,k,j)=u(i,j) |
| 49 |
vent(i,k,j)=v(i,j) |
| 50 |
elij(i,k,j)=0.0 |
| 51 |
ment(i,k,j)=0.0 |
| 52 |
sij(i,k,j)=0.0 |
| 53 |
385 continue |
| 54 |
390 continue |
| 55 |
400 continue |
| 56 |
! |
| 57 |
!------------------------------------------------------------------- |
| 58 |
! --- Calculate rates of mixing, m(i) |
| 59 |
!------------------------------------------------------------------- |
| 60 |
! |
| 61 |
call zilch(work,ncum) |
| 62 |
! |
| 63 |
do 670 j=minorig+1,nl |
| 64 |
do 660 i=1,ncum |
| 65 |
if((j.ge.(icb(i)+1)).and.(j.le.inb(i)))then |
| 66 |
k=min(j,inb1(i)) |
| 67 |
dbo=abs(tv(i,k+1)-tvp(i,k+1)-tv(i,k-1)+tvp(i,k-1)) & |
| 68 |
+entp*0.04*(ph(i,k)-ph(i,k+1)) |
| 69 |
work(i)=work(i)+dbo |
| 70 |
m(i,j)=cbmf(i)*dbo |
| 71 |
endif |
| 72 |
660 continue |
| 73 |
670 continue |
| 74 |
do 690 k=minorig+1,nl |
| 75 |
do 680 i=1,ncum |
| 76 |
if((k.ge.(icb(i)+1)).and.(k.le.inb(i)))then |
| 77 |
m(i,k)=m(i,k)/work(i) |
| 78 |
endif |
| 79 |
680 continue |
| 80 |
690 continue |
| 81 |
! |
| 82 |
! |
| 83 |
!===================================================================== |
| 84 |
! --- CALCULATE ENTRAINED AIR MASS FLUX (ment), TOTAL WATER MIXING |
| 85 |
! --- RATIO (QENT), TOTAL CONDENSED WATER (elij), AND MIXING |
| 86 |
! --- FRACTION (sij) |
| 87 |
!===================================================================== |
| 88 |
! |
| 89 |
! |
| 90 |
do 750 i=minorig+1,nl |
| 91 |
do 710 j=minorig+1,nl |
| 92 |
do 700 ij=1,ncum |
| 93 |
if((i.ge.(icb(ij)+1)).and.(j.ge.icb(ij)) & |
| 94 |
.and.(i.le.inb(ij)).and.(j.le.inb(ij)))then |
| 95 |
qti=qnk(ij)-ep(ij,i)*clw(ij,i) |
| 96 |
bf2=1.+lv(ij,j)*lv(ij,j)*qs(ij,j) & |
| 97 |
/(rrv*t(ij,j)*t(ij,j)*cpd) |
| 98 |
anum=h(ij,j)-hp(ij,i)+(cpv-cpd)*t(ij,j)*(qti-q(ij,j)) |
| 99 |
denom=h(ij,i)-hp(ij,i)+(cpd-cpv)*(q(ij,i)-qti)*t(ij,j) |
| 100 |
dei=denom |
| 101 |
if(abs(dei).lt.0.01)dei=0.01 |
| 102 |
sij(ij,i,j)=anum/dei |
| 103 |
sij(ij,i,i)=1.0 |
| 104 |
altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
| 105 |
altem=altem/bf2 |
| 106 |
cwat=clw(ij,j)*(1.-ep(ij,j)) |
| 107 |
stemp=sij(ij,i,j) |
| 108 |
if((stemp.lt.0.0.or.stemp.gt.1.0.or. & |
| 109 |
altem.gt.cwat).and.j.gt.i)then |
| 110 |
anum=anum-lv(ij,j)*(qti-qs(ij,j)-cwat*bf2) |
| 111 |
denom=denom+lv(ij,j)*(q(ij,i)-qti) |
| 112 |
if(abs(denom).lt.0.01)denom=0.01 |
| 113 |
sij(ij,i,j)=anum/denom |
| 114 |
altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
| 115 |
altem=altem-(bf2-1.)*cwat |
| 116 |
endif |
| 117 |
if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
| 118 |
qent(ij,i,j)=sij(ij,i,j)*q(ij,i) & |
| 119 |
+(1.-sij(ij,i,j))*qti |
| 120 |
uent(ij,i,j)=sij(ij,i,j)*u(ij,i) & |
| 121 |
+(1.-sij(ij,i,j))*u(ij,nk(ij)) |
| 122 |
vent(ij,i,j)=sij(ij,i,j)*v(ij,i) & |
| 123 |
+(1.-sij(ij,i,j))*v(ij,nk(ij)) |
| 124 |
elij(ij,i,j)=altem |
| 125 |
elij(ij,i,j)=max(0.0,elij(ij,i,j)) |
| 126 |
ment(ij,i,j)=m(ij,i)/(1.-sij(ij,i,j)) |
| 127 |
nent(ij,i)=nent(ij,i)+1 |
| 128 |
endif |
| 129 |
sij(ij,i,j)=max(0.0,sij(ij,i,j)) |
| 130 |
sij(ij,i,j)=min(1.0,sij(ij,i,j)) |
| 131 |
endif |
| 132 |
700 continue |
| 133 |
710 continue |
| 134 |
! |
| 135 |
! *** If no air can entrain at level i assume that updraft detrains *** |
| 136 |
! *** at that level and calculate detrained air flux and properties *** |
| 137 |
! |
| 138 |
do 740 ij=1,ncum |
| 139 |
if((i.ge.(icb(ij)+1)).and.(i.le.inb(ij)) & |
| 140 |
.and.(nent(ij,i).eq.0))then |
| 141 |
ment(ij,i,i)=m(ij,i) |
| 142 |
qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
| 143 |
uent(ij,i,i)=u(ij,nk(ij)) |
| 144 |
vent(ij,i,i)=v(ij,nk(ij)) |
| 145 |
elij(ij,i,i)=clw(ij,i) |
| 146 |
sij(ij,i,i)=1.0 |
| 147 |
endif |
| 148 |
740 continue |
| 149 |
750 continue |
| 150 |
! |
| 151 |
do 770 i=1,ncum |
| 152 |
sij(i,inb(i),inb(i))=1.0 |
| 153 |
770 continue |
| 154 |
! |
| 155 |
!===================================================================== |
| 156 |
! --- NORMALIZE ENTRAINED AIR MASS FLUXES |
| 157 |
! --- TO REPRESENT EQUAL PROBABILITIES OF MIXING |
| 158 |
!===================================================================== |
| 159 |
! |
| 160 |
call zilch(bsum,ncum*nlp) |
| 161 |
do 780 ij=1,ncum |
| 162 |
lwork(ij)=.false. |
| 163 |
780 continue |
| 164 |
do 789 i=minorig+1,nl |
| 165 |
! |
| 166 |
num1=0 |
| 167 |
do 779 ij=1,ncum |
| 168 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))num1=num1+1 |
| 169 |
779 continue |
| 170 |
if(num1.le.0)go to 789 |
| 171 |
! |
| 172 |
do 781 ij=1,ncum |
| 173 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))then |
| 174 |
lwork(ij)=(nent(ij,i).ne.0) |
| 175 |
qp1=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
| 176 |
anum=h(ij,i)-hp(ij,i)-lv(ij,i)*(qp1-qs(ij,i)) |
| 177 |
denom=h(ij,i)-hp(ij,i)+lv(ij,i)*(q(ij,i)-qp1) |
| 178 |
if(abs(denom).lt.0.01)denom=0.01 |
| 179 |
scrit(ij)=anum/denom |
| 180 |
alt=qp1-qs(ij,i)+scrit(ij)*(q(ij,i)-qp1) |
| 181 |
if(scrit(ij).lt.0.0.or.alt.lt.0.0)scrit(ij)=1.0 |
| 182 |
asij(ij)=0.0 |
| 183 |
smin(ij)=1.0 |
| 184 |
endif |
| 185 |
781 continue |
| 186 |
do 783 j=minorig,nl |
| 187 |
! |
| 188 |
num2=0 |
| 189 |
do 778 ij=1,ncum |
| 190 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
| 191 |
.and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
| 192 |
.and.lwork(ij))num2=num2+1 |
| 193 |
778 continue |
| 194 |
if(num2.le.0)go to 783 |
| 195 |
! |
| 196 |
do 782 ij=1,ncum |
| 197 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
| 198 |
.and.(j.ge.icb(ij)).and.(j.le.inb(ij)).and.lwork(ij))then |
| 199 |
if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
| 200 |
if(j.gt.i)then |
| 201 |
smid=min(sij(ij,i,j),scrit(ij)) |
| 202 |
sjmax=smid |
| 203 |
sjmin=smid |
| 204 |
if(smid.lt.smin(ij) & |
| 205 |
.and.sij(ij,i,j+1).lt.smid)then |
| 206 |
smin(ij)=smid |
| 207 |
sjmax=min(sij(ij,i,j+1),sij(ij,i,j),scrit(ij)) |
| 208 |
sjmin=max(sij(ij,i,j-1),sij(ij,i,j)) |
| 209 |
sjmin=min(sjmin,scrit(ij)) |
| 210 |
endif |
| 211 |
else |
| 212 |
sjmax=max(sij(ij,i,j+1),scrit(ij)) |
| 213 |
smid=max(sij(ij,i,j),scrit(ij)) |
| 214 |
sjmin=0.0 |
| 215 |
if(j.gt.1)sjmin=sij(ij,i,j-1) |
| 216 |
sjmin=max(sjmin,scrit(ij)) |
| 217 |
endif |
| 218 |
delp=abs(sjmax-smid) |
| 219 |
delm=abs(sjmin-smid) |
| 220 |
asij(ij)=asij(ij)+(delp+delm) & |
| 221 |
*(ph(ij,j)-ph(ij,j+1)) |
| 222 |
ment(ij,i,j)=ment(ij,i,j)*(delp+delm) & |
| 223 |
*(ph(ij,j)-ph(ij,j+1)) |
| 224 |
endif |
| 225 |
endif |
| 226 |
782 continue |
| 227 |
783 continue |
| 228 |
do 784 ij=1,ncum |
| 229 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)).and.lwork(ij))then |
| 230 |
asij(ij)=max(1.0e-21,asij(ij)) |
| 231 |
asij(ij)=1.0/asij(ij) |
| 232 |
bsum(ij,i)=0.0 |
| 233 |
endif |
| 234 |
784 continue |
| 235 |
do 786 j=minorig,nl+1 |
| 236 |
do 785 ij=1,ncum |
| 237 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
| 238 |
.and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
| 239 |
.and.lwork(ij))then |
| 240 |
ment(ij,i,j)=ment(ij,i,j)*asij(ij) |
| 241 |
bsum(ij,i)=bsum(ij,i)+ment(ij,i,j) |
| 242 |
endif |
| 243 |
785 continue |
| 244 |
786 continue |
| 245 |
do 787 ij=1,ncum |
| 246 |
if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
| 247 |
.and.(bsum(ij,i).lt.1.0e-18).and.lwork(ij))then |
| 248 |
nent(ij,i)=0 |
| 249 |
ment(ij,i,i)=m(ij,i) |
| 250 |
qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
| 251 |
uent(ij,i,i)=u(ij,nk(ij)) |
| 252 |
vent(ij,i,i)=v(ij,nk(ij)) |
| 253 |
elij(ij,i,i)=clw(ij,i) |
| 254 |
sij(ij,i,i)=1.0 |
| 255 |
endif |
| 256 |
787 continue |
| 257 |
789 continue |
| 258 |
! |
| 259 |
return |
| 260 |
end |
Parent Directory
| 
Revision Log