| 1 |
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| 2 |
SUBROUTINE cv_yield(nloc,ncum,nd,nk,icb,inb,delt & |
| 3 |
,t,q,u,v,gz,p,ph,h,hp,lv,cpn & |
| 4 |
,ep,clw,frac,m,mp,qp,up,vp & |
| 5 |
,wt,water,evap & |
| 6 |
,ment,qent,uent,vent,nent,elij & |
| 7 |
,tv,tvp & |
| 8 |
,iflag,wd,qprime,tprime & |
| 9 |
,precip,cbmf,ft,fq,fu,fv,Ma,qcondc) |
| 10 |
use cvthermo |
| 11 |
use cvparam |
| 12 |
implicit none |
| 13 |
|
| 14 |
|
| 15 |
! inputs |
| 16 |
integer ncum, nd, nloc |
| 17 |
integer nk(nloc), icb(nloc), inb(nloc) |
| 18 |
integer nent(nloc,nd) |
| 19 |
real, intent(in):: delt |
| 20 |
real t(nloc,nd), q(nloc,nd), u(nloc,nd), v(nloc,nd) |
| 21 |
real gz(nloc,nd) |
| 22 |
real p(nloc,nd), ph(nloc,nd+1), h(nloc,nd) |
| 23 |
real hp(nloc,nd), lv(nloc,nd) |
| 24 |
real cpn(nloc,nd), ep(nloc,nd), clw(nloc,nd), frac(nloc) |
| 25 |
real m(nloc,nd), mp(nloc,nd), qp(nloc,nd) |
| 26 |
real up(nloc,nd), vp(nloc,nd) |
| 27 |
real wt(nloc,nd), water(nloc,nd), evap(nloc,nd) |
| 28 |
real ment(nloc,nd,nd), qent(nloc,nd,nd), elij(nloc,nd,nd) |
| 29 |
real uent(nloc,nd,nd), vent(nloc,nd,nd) |
| 30 |
real tv(nloc,nd), tvp(nloc,nd) |
| 31 |
|
| 32 |
! outputs |
| 33 |
integer iflag(nloc) ! also an input |
| 34 |
real cbmf(nloc) ! also an input |
| 35 |
real wd(nloc), tprime(nloc), qprime(nloc) |
| 36 |
real precip(nloc) |
| 37 |
real ft(nloc,nd), fq(nloc,nd), fu(nloc,nd), fv(nloc,nd) |
| 38 |
real Ma(nloc,nd) |
| 39 |
real qcondc(nloc,nd) |
| 40 |
|
| 41 |
! local variables |
| 42 |
integer i,j,ij,k,num1 |
| 43 |
real dpinv,cpinv,awat,fqold,ftold,fuold,fvold,delti |
| 44 |
real work(nloc), am(nloc),amp1(nloc),ad(nloc) |
| 45 |
real ents(nloc), uav(nloc),vav(nloc),lvcp(nloc,nd) |
| 46 |
real qcond(nloc,nd), nqcond(nloc,nd), wa(nloc,nd) ! cld |
| 47 |
real siga(nloc,nd), ax(nloc,nd), mac(nloc,nd) ! cld |
| 48 |
|
| 49 |
|
| 50 |
! -- initializations: |
| 51 |
|
| 52 |
delti = 1.0/delt |
| 53 |
|
| 54 |
do 160 i=1,ncum |
| 55 |
precip(i)=0.0 |
| 56 |
wd(i)=0.0 |
| 57 |
tprime(i)=0.0 |
| 58 |
qprime(i)=0.0 |
| 59 |
do 170 k=1,nl+1 |
| 60 |
ft(i,k)=0.0 |
| 61 |
fu(i,k)=0.0 |
| 62 |
fv(i,k)=0.0 |
| 63 |
fq(i,k)=0.0 |
| 64 |
lvcp(i,k)=lv(i,k)/cpn(i,k) |
| 65 |
qcondc(i,k)=0.0 ! cld |
| 66 |
qcond(i,k)=0.0 ! cld |
| 67 |
nqcond(i,k)=0.0 ! cld |
| 68 |
170 continue |
| 69 |
160 continue |
| 70 |
|
| 71 |
! |
| 72 |
! *** Calculate surface precipitation in mm/day *** |
| 73 |
! |
| 74 |
do 1190 i=1,ncum |
| 75 |
if(iflag(i).le.1)then |
| 76 |
precip(i) = wt(i,1)*sigd*water(i,1)*86400/g |
| 77 |
endif |
| 78 |
1190 continue |
| 79 |
! |
| 80 |
! |
| 81 |
! *** Calculate downdraft velocity scale and surface temperature and *** |
| 82 |
! *** water vapor fluctuations *** |
| 83 |
! |
| 84 |
do i=1,ncum |
| 85 |
wd(i)=betad*abs(mp(i,icb(i)))*0.01*rrd*t(i,icb(i)) & |
| 86 |
/(sigd*p(i,icb(i))) |
| 87 |
qprime(i)=0.5*(qp(i,1)-q(i,1)) |
| 88 |
tprime(i)=lv0*qprime(i)/cpd |
| 89 |
enddo |
| 90 |
! |
| 91 |
! *** Calculate tendencies of lowest level potential temperature *** |
| 92 |
! *** and mixing ratio *** |
| 93 |
! |
| 94 |
do 1200 i=1,ncum |
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work(i)=0.01/(ph(i,1)-ph(i,2)) |
| 96 |
am(i)=0.0 |
| 97 |
1200 continue |
| 98 |
do 1220 k=2,nl |
| 99 |
do 1210 i=1,ncum |
| 100 |
if((nk(i).eq.1).and.(k.le.inb(i)).and.(nk(i).eq.1))then |
| 101 |
am(i)=am(i)+m(i,k) |
| 102 |
endif |
| 103 |
1210 continue |
| 104 |
1220 continue |
| 105 |
do 1240 i=1,ncum |
| 106 |
if((g*work(i)*am(i)).ge.delti)iflag(i)=1 |
| 107 |
ft(i,1)=ft(i,1)+g*work(i)*am(i)*(t(i,2)-t(i,1) & |
| 108 |
+(gz(i,2)-gz(i,1))/cpn(i,1)) |
| 109 |
ft(i,1)=ft(i,1)-lvcp(i,1)*sigd*evap(i,1) |
| 110 |
ft(i,1)=ft(i,1)+sigd*wt(i,2)*(cl-cpd)*water(i,2)*(t(i,2) & |
| 111 |
-t(i,1))*work(i)/cpn(i,1) |
| 112 |
fq(i,1)=fq(i,1)+g*mp(i,2)*(qp(i,2)-q(i,1))* & |
| 113 |
work(i)+sigd*evap(i,1) |
| 114 |
fq(i,1)=fq(i,1)+g*am(i)*(q(i,2)-q(i,1))*work(i) |
| 115 |
fu(i,1)=fu(i,1)+g*work(i)*(mp(i,2)*(up(i,2)-u(i,1)) & |
| 116 |
+am(i)*(u(i,2)-u(i,1))) |
| 117 |
fv(i,1)=fv(i,1)+g*work(i)*(mp(i,2)*(vp(i,2)-v(i,1)) & |
| 118 |
+am(i)*(v(i,2)-v(i,1))) |
| 119 |
1240 continue |
| 120 |
do 1260 j=2,nl |
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do 1250 i=1,ncum |
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if(j.le.inb(i))then |
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fq(i,1)=fq(i,1) & |
| 124 |
+g*work(i)*ment(i,j,1)*(qent(i,j,1)-q(i,1)) |
| 125 |
fu(i,1)=fu(i,1) & |
| 126 |
+g*work(i)*ment(i,j,1)*(uent(i,j,1)-u(i,1)) |
| 127 |
fv(i,1)=fv(i,1) & |
| 128 |
+g*work(i)*ment(i,j,1)*(vent(i,j,1)-v(i,1)) |
| 129 |
endif |
| 130 |
1250 continue |
| 131 |
1260 continue |
| 132 |
! |
| 133 |
! *** Calculate tendencies of potential temperature and mixing ratio *** |
| 134 |
! *** at levels above the lowest level *** |
| 135 |
! |
| 136 |
! *** First find the net saturated updraft and downdraft mass fluxes *** |
| 137 |
! *** through each level *** |
| 138 |
! |
| 139 |
do 1500 i=2,nl+1 |
| 140 |
! |
| 141 |
num1=0 |
| 142 |
do 1265 ij=1,ncum |
| 143 |
if(i.le.inb(ij))num1=num1+1 |
| 144 |
1265 continue |
| 145 |
if(num1.le.0)go to 1500 |
| 146 |
! |
| 147 |
call zilch(amp1,ncum) |
| 148 |
call zilch(ad,ncum) |
| 149 |
! |
| 150 |
do 1280 k=i+1,nl+1 |
| 151 |
do 1270 ij=1,ncum |
| 152 |
if((i.ge.nk(ij)).and.(i.le.inb(ij)) & |
| 153 |
.and.(k.le.(inb(ij)+1)))then |
| 154 |
amp1(ij)=amp1(ij)+m(ij,k) |
| 155 |
endif |
| 156 |
1270 continue |
| 157 |
1280 continue |
| 158 |
! |
| 159 |
do 1310 k=1,i |
| 160 |
do 1300 j=i+1,nl+1 |
| 161 |
do 1290 ij=1,ncum |
| 162 |
if((j.le.(inb(ij)+1)).and.(i.le.inb(ij)))then |
| 163 |
amp1(ij)=amp1(ij)+ment(ij,k,j) |
| 164 |
endif |
| 165 |
1290 continue |
| 166 |
1300 continue |
| 167 |
1310 continue |
| 168 |
do 1340 k=1,i-1 |
| 169 |
do 1330 j=i,nl+1 |
| 170 |
do 1320 ij=1,ncum |
| 171 |
if((i.le.inb(ij)).and.(j.le.inb(ij)))then |
| 172 |
ad(ij)=ad(ij)+ment(ij,j,k) |
| 173 |
endif |
| 174 |
1320 continue |
| 175 |
1330 continue |
| 176 |
1340 continue |
| 177 |
! |
| 178 |
do 1350 ij=1,ncum |
| 179 |
if(i.le.inb(ij))then |
| 180 |
dpinv=0.01/(ph(ij,i)-ph(ij,i+1)) |
| 181 |
cpinv=1.0/cpn(ij,i) |
| 182 |
! |
| 183 |
ft(ij,i)=ft(ij,i) & |
| 184 |
+g*dpinv*(amp1(ij)*(t(ij,i+1)-t(ij,i) & |
| 185 |
+(gz(ij,i+1)-gz(ij,i))*cpinv) & |
| 186 |
-ad(ij)*(t(ij,i)-t(ij,i-1)+(gz(ij,i)-gz(ij,i-1))*cpinv)) & |
| 187 |
-sigd*lvcp(ij,i)*evap(ij,i) |
| 188 |
ft(ij,i)=ft(ij,i)+g*dpinv*ment(ij,i,i)*(hp(ij,i)-h(ij,i)+ & |
| 189 |
t(ij,i)*(cpv-cpd)*(q(ij,i)-qent(ij,i,i)))*cpinv |
| 190 |
ft(ij,i)=ft(ij,i)+sigd*wt(ij,i+1)*(cl-cpd)*water(ij,i+1)* & |
| 191 |
(t(ij,i+1)-t(ij,i))*dpinv*cpinv |
| 192 |
fq(ij,i)=fq(ij,i)+g*dpinv*(amp1(ij)*(q(ij,i+1)-q(ij,i))- & |
| 193 |
ad(ij)*(q(ij,i)-q(ij,i-1))) |
| 194 |
fu(ij,i)=fu(ij,i)+g*dpinv*(amp1(ij)*(u(ij,i+1)-u(ij,i))- & |
| 195 |
ad(ij)*(u(ij,i)-u(ij,i-1))) |
| 196 |
fv(ij,i)=fv(ij,i)+g*dpinv*(amp1(ij)*(v(ij,i+1)-v(ij,i))- & |
| 197 |
ad(ij)*(v(ij,i)-v(ij,i-1))) |
| 198 |
endif |
| 199 |
1350 continue |
| 200 |
do 1370 k=1,i-1 |
| 201 |
do 1360 ij=1,ncum |
| 202 |
if(i.le.inb(ij))then |
| 203 |
awat=elij(ij,k,i)-(1.-ep(ij,i))*clw(ij,i) |
| 204 |
awat=max(awat,0.0) |
| 205 |
fq(ij,i)=fq(ij,i) & |
| 206 |
+g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-awat-q(ij,i)) |
| 207 |
fu(ij,i)=fu(ij,i) & |
| 208 |
+g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) |
| 209 |
fv(ij,i)=fv(ij,i) & |
| 210 |
+g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) |
| 211 |
! (saturated updrafts resulting from mixing) ! cld |
| 212 |
qcond(ij,i)=qcond(ij,i)+(elij(ij,k,i)-awat) ! cld |
| 213 |
nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
| 214 |
endif |
| 215 |
1360 continue |
| 216 |
1370 continue |
| 217 |
do 1390 k=i,nl+1 |
| 218 |
do 1380 ij=1,ncum |
| 219 |
if((i.le.inb(ij)).and.(k.le.inb(ij)))then |
| 220 |
fq(ij,i)=fq(ij,i) & |
| 221 |
+g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-q(ij,i)) |
| 222 |
fu(ij,i)=fu(ij,i) & |
| 223 |
+g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) |
| 224 |
fv(ij,i)=fv(ij,i) & |
| 225 |
+g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) |
| 226 |
endif |
| 227 |
1380 continue |
| 228 |
1390 continue |
| 229 |
do 1400 ij=1,ncum |
| 230 |
if(i.le.inb(ij))then |
| 231 |
fq(ij,i)=fq(ij,i) & |
| 232 |
+sigd*evap(ij,i)+g*(mp(ij,i+1)* & |
| 233 |
(qp(ij,i+1)-q(ij,i)) & |
| 234 |
-mp(ij,i)*(qp(ij,i)-q(ij,i-1)))*dpinv |
| 235 |
fu(ij,i)=fu(ij,i) & |
| 236 |
+g*(mp(ij,i+1)*(up(ij,i+1)-u(ij,i))-mp(ij,i)* & |
| 237 |
(up(ij,i)-u(ij,i-1)))*dpinv |
| 238 |
fv(ij,i)=fv(ij,i) & |
| 239 |
+g*(mp(ij,i+1)*(vp(ij,i+1)-v(ij,i))-mp(ij,i)* & |
| 240 |
(vp(ij,i)-v(ij,i-1)))*dpinv |
| 241 |
! (saturated downdrafts resulting from mixing) ! cld |
| 242 |
do k=i+1,inb(ij) ! cld |
| 243 |
qcond(ij,i)=qcond(ij,i)+elij(ij,k,i) ! cld |
| 244 |
nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
| 245 |
enddo ! cld |
| 246 |
! (particular case: no detraining level is found) ! cld |
| 247 |
if (nent(ij,i).eq.0) then ! cld |
| 248 |
qcond(ij,i)=qcond(ij,i)+(1.-ep(ij,i))*clw(ij,i) ! cld |
| 249 |
nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
| 250 |
endif ! cld |
| 251 |
if (nqcond(ij,i).ne.0.) then ! cld |
| 252 |
qcond(ij,i)=qcond(ij,i)/nqcond(ij,i) ! cld |
| 253 |
endif ! cld |
| 254 |
endif |
| 255 |
1400 continue |
| 256 |
1500 continue |
| 257 |
! |
| 258 |
! *** Adjust tendencies at top of convection layer to reflect *** |
| 259 |
! *** actual position of the level zero cape *** |
| 260 |
! |
| 261 |
do 503 ij=1,ncum |
| 262 |
fqold=fq(ij,inb(ij)) |
| 263 |
fq(ij,inb(ij))=fq(ij,inb(ij))*(1.-frac(ij)) |
| 264 |
fq(ij,inb(ij)-1)=fq(ij,inb(ij)-1) & |
| 265 |
+frac(ij)*fqold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
| 266 |
(ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*lv(ij,inb(ij)) & |
| 267 |
/lv(ij,inb(ij)-1) |
| 268 |
ftold=ft(ij,inb(ij)) |
| 269 |
ft(ij,inb(ij))=ft(ij,inb(ij))*(1.-frac(ij)) |
| 270 |
ft(ij,inb(ij)-1)=ft(ij,inb(ij)-1) & |
| 271 |
+frac(ij)*ftold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
| 272 |
(ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*cpn(ij,inb(ij)) & |
| 273 |
/cpn(ij,inb(ij)-1) |
| 274 |
fuold=fu(ij,inb(ij)) |
| 275 |
fu(ij,inb(ij))=fu(ij,inb(ij))*(1.-frac(ij)) |
| 276 |
fu(ij,inb(ij)-1)=fu(ij,inb(ij)-1) & |
| 277 |
+frac(ij)*fuold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
| 278 |
(ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
| 279 |
fvold=fv(ij,inb(ij)) |
| 280 |
fv(ij,inb(ij))=fv(ij,inb(ij))*(1.-frac(ij)) |
| 281 |
fv(ij,inb(ij)-1)=fv(ij,inb(ij)-1) & |
| 282 |
+frac(ij)*fvold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
| 283 |
(ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
| 284 |
503 continue |
| 285 |
! |
| 286 |
! *** Very slightly adjust tendencies to force exact *** |
| 287 |
! *** enthalpy, momentum and tracer conservation *** |
| 288 |
! |
| 289 |
do 682 ij=1,ncum |
| 290 |
ents(ij)=0.0 |
| 291 |
uav(ij)=0.0 |
| 292 |
vav(ij)=0.0 |
| 293 |
do 681 i=1,inb(ij) |
| 294 |
ents(ij)=ents(ij) & |
| 295 |
+(cpn(ij,i)*ft(ij,i)+lv(ij,i)*fq(ij,i))*(ph(ij,i)-ph(ij,i+1)) |
| 296 |
uav(ij)=uav(ij)+fu(ij,i)*(ph(ij,i)-ph(ij,i+1)) |
| 297 |
vav(ij)=vav(ij)+fv(ij,i)*(ph(ij,i)-ph(ij,i+1)) |
| 298 |
681 continue |
| 299 |
682 continue |
| 300 |
do 683 ij=1,ncum |
| 301 |
ents(ij)=ents(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
| 302 |
uav(ij)=uav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
| 303 |
vav(ij)=vav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
| 304 |
683 continue |
| 305 |
do 642 ij=1,ncum |
| 306 |
do 641 i=1,inb(ij) |
| 307 |
ft(ij,i)=ft(ij,i)-ents(ij)/cpn(ij,i) |
| 308 |
fu(ij,i)=(1.-cu)*(fu(ij,i)-uav(ij)) |
| 309 |
fv(ij,i)=(1.-cu)*(fv(ij,i)-vav(ij)) |
| 310 |
641 continue |
| 311 |
642 continue |
| 312 |
! |
| 313 |
do 1810 k=1,nl+1 |
| 314 |
do 1800 i=1,ncum |
| 315 |
if((q(i,k)+delt*fq(i,k)).lt.0.0)iflag(i)=10 |
| 316 |
1800 continue |
| 317 |
1810 continue |
| 318 |
! |
| 319 |
! |
| 320 |
do 1900 i=1,ncum |
| 321 |
if(iflag(i).gt.2)then |
| 322 |
precip(i)=0.0 |
| 323 |
cbmf(i)=0.0 |
| 324 |
endif |
| 325 |
1900 continue |
| 326 |
do 1920 k=1,nl |
| 327 |
do 1910 i=1,ncum |
| 328 |
if(iflag(i).gt.2)then |
| 329 |
ft(i,k)=0.0 |
| 330 |
fq(i,k)=0.0 |
| 331 |
fu(i,k)=0.0 |
| 332 |
fv(i,k)=0.0 |
| 333 |
qcondc(i,k)=0.0 ! cld |
| 334 |
endif |
| 335 |
1910 continue |
| 336 |
1920 continue |
| 337 |
|
| 338 |
do k=1,nl+1 |
| 339 |
do i=1,ncum |
| 340 |
Ma(i,k) = 0. |
| 341 |
enddo |
| 342 |
enddo |
| 343 |
do k=nl,1,-1 |
| 344 |
do i=1,ncum |
| 345 |
Ma(i,k) = Ma(i,k+1)+m(i,k) |
| 346 |
enddo |
| 347 |
enddo |
| 348 |
|
| 349 |
! |
| 350 |
! *** diagnose the in-cloud mixing ratio *** |
| 351 |
! *** of condensed water *** |
| 352 |
! |
| 353 |
DO ij=1,ncum |
| 354 |
do i=1,nd |
| 355 |
mac(ij,i)=0.0 |
| 356 |
wa(ij,i)=0.0 |
| 357 |
siga(ij,i)=0.0 |
| 358 |
enddo |
| 359 |
do i=nk(ij),inb(ij) |
| 360 |
do k=i+1,inb(ij)+1 |
| 361 |
mac(ij,i)=mac(ij,i)+m(ij,k) |
| 362 |
enddo |
| 363 |
enddo |
| 364 |
do i=icb(ij),inb(ij)-1 |
| 365 |
ax(ij,i)=0. |
| 366 |
do j=icb(ij),i |
| 367 |
ax(ij,i)=ax(ij,i)+rrd*(tvp(ij,j)-tv(ij,j)) & |
| 368 |
*(ph(ij,j)-ph(ij,j+1))/p(ij,j) |
| 369 |
enddo |
| 370 |
if (ax(ij,i).gt.0.0) then |
| 371 |
wa(ij,i)=sqrt(2.*ax(ij,i)) |
| 372 |
endif |
| 373 |
enddo |
| 374 |
do i=1,nl |
| 375 |
if (wa(ij,i).gt.0.0) & |
| 376 |
siga(ij,i)=mac(ij,i)/wa(ij,i) & |
| 377 |
*rrd*tvp(ij,i)/p(ij,i)/100./delta |
| 378 |
siga(ij,i) = min(siga(ij,i),1.0) |
| 379 |
qcondc(ij,i)=siga(ij,i)*clw(ij,i)*(1.-ep(ij,i)) & |
| 380 |
+ (1.-siga(ij,i))*qcond(ij,i) |
| 381 |
enddo |
| 382 |
ENDDO |
| 383 |
|
| 384 |
return |
| 385 |
end |
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