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@ -24,7 +24,7 @@ REAL(KIND=8) FUNCTION tvirtual(temp,ratmix)
@@ -24,7 +24,7 @@ REAL(KIND=8) FUNCTION tvirtual(temp,ratmix)
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REAL(KIND=8),INTENT(IN) :: temp,ratmix |
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REAL(KIND=8),PARAMETER :: EPS = .622D0 |
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tvirtual = temp*(EPS+ratmix)/(EPS*(1.D0+ratmix)) |
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tvirtual = temp*(EPS + ratmix)/(EPS*(1.D0 + ratmix)) |
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RETURN |
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END FUNCTION tvirtual |
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@ -65,7 +65,7 @@ REAL(KIND=8) FUNCTION tonpsadiabat(thte,prs,PSADITHTE,PSADIPRS,PSADITMK,GAMMA,&
@@ -65,7 +65,7 @@ REAL(KIND=8) FUNCTION tonpsadiabat(thte,prs,PSADITHTE,PSADIPRS,PSADITMK,GAMMA,&
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jt = -1 |
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DO jtch = 1,150 - 1 |
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IF (thte.GE.PSADITHTE(jtch) .AND. thte.LT.PSADITHTE(jtch+1)) THEN |
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IF (thte .GE. PSADITHTE(jtch) .AND. thte .LT. PSADITHTE(jtch+1)) THEN |
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jt = jtch |
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EXIT |
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!GO TO 213 |
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@ -94,8 +94,8 @@ REAL(KIND=8) FUNCTION tonpsadiabat(thte,prs,PSADITHTE,PSADIPRS,PSADITMK,GAMMA,&
@@ -94,8 +94,8 @@ REAL(KIND=8) FUNCTION tonpsadiabat(thte,prs,PSADITHTE,PSADIPRS,PSADITMK,GAMMA,&
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fracjt2 = 1.D0 - fracjt |
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fracip = (PSADIPRS(ip)-prs) / (PSADIPRS(ip)-PSADIPRS(ip+1)) |
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fracip2 = 1.D0 - fracip |
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IF (PSADITMK(ip,jt).GT.1D9 .OR. PSADITMK(ip+1,jt).GT.1D9 .OR. & |
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PSADITMK(ip,jt+1).GT.1D9 .OR. PSADITMK(ip+1,jt+1).GT.1D9) THEN |
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IF (PSADITMK(ip,jt) .GT. 1D9 .OR. PSADITMK(ip+1,jt) .GT. 1D9 .OR. & |
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PSADITMK(ip,jt+1) .GT. 1D9 .OR. PSADITMK(ip+1,jt+1) .GT. 1D9) THEN |
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CALL throw_exception('capecalc3d: ','Tried to access missing temperature in lookup table.',& |
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'Prs and Thte probably unreasonable. prs,thte=',prs,thte) |
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!STOP |
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@ -137,16 +137,16 @@ SUBROUTINE dpfcalc(prs,sfp,pf,miy,mjx,mkzh,ter_follow)
@@ -137,16 +137,16 @@ SUBROUTINE dpfcalc(prs,sfp,pf,miy,mjx,mkzh,ter_follow)
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! do i=1,miy-1 staggered grid |
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DO i = 1,miy |
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DO k = 1,mkzh |
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IF (k.EQ.mkzh) THEN |
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IF (k .EQ. mkzh) THEN |
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! terrain-following data |
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IF (ter_follow.EQ.1) THEN |
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IF (ter_follow .EQ. 1) THEN |
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pf(i,j,k) = sfp(i,j) |
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! pressure-level data |
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ELSE |
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pf(i,j,k) = .5D0 * (3.D0*prs(i,j,k)-prs(i,j,k-1)) |
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pf(i,j,k) = .5D0 * (3.D0*prs(i,j,k) - prs(i,j,k-1)) |
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END IF |
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ELSE |
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pf(i,j,k) = .5D0* (prs(i,j,k+1)+prs(i,j,k)) |
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pf(i,j,k) = .5D0 * (prs(i,j,k+1) + prs(i,j,k)) |
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END IF |
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END DO |
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END DO |
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@ -289,24 +289,22 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
@@ -289,24 +289,22 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
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cape(i,j,1) = 0.d0 |
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cin(i,j,1) = 0.d0 |
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IF (i3dflag.eq.1) THEN |
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IF (i3dflag .EQ. 1) THEN |
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kpar1 = 2 |
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kpar2 = mkzh |
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ELSE |
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! find parcel with max theta-e in lowest 3 km agl. |
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! find parcel with max theta-e in lowest 3 km agl. |
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ethmax = -1.d0 |
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DO k = mkzh,1,-1 |
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IF (ght(i,j,k)-ter(i,j).lt.3000.d0) then |
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q = MAX(qvp(i,j,k),1.d-15) |
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IF (ght(i,j,k)-ter(i,j) .LT. 3000.d0) THEN |
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q = MAX(qvp(i,j,k), 1.d-15) |
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t = tmk(i,j,k) |
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p = prs(i,j,k) |
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e = q*p/ (EPS+q) |
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tlcl = TLCLC1/ (log(t**TLCLC2/e)-TLCLC3) + TLCLC4 |
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eth = t* (1000.d0/p)**(GAMMA* (1.d0+GAMMAMD*q))*& |
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EXP((THTECON1/tlcl-THTECON2)*q*(1.d0+THTECON3*q)) |
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IF (eth.gt.ethmax) then |
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e = q*p/(EPS + q) |
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tlcl = TLCLC1/ (LOG(t**TLCLC2/e)-TLCLC3) + TLCLC4 |
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eth = t * (1000.d0/p)**(GAMMA*(1.d0 + GAMMAMD*q))*& |
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EXP((THTECON1/tlcl - THTECON2)*q*(1.d0 + THTECON3*q)) |
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IF (eth .GT. ethmax) THEN |
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klev = k |
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ethmax = eth |
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END IF |
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@ -315,29 +313,29 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
@@ -315,29 +313,29 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
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kpar1 = klev |
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kpar2 = klev |
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! establish average properties of that parcel |
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! (over depth of approximately davg meters) |
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! Establish average properties of that parcel |
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! (over depth of approximately davg meters) |
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! davg=.1 |
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! davg=.1 |
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davg = 500.d0 |
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pavg = davg*prs(i,j,kpar1)*& |
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GRAV/(RGAS*tvirtual(tmk(i,j,kpar1),qvp(i,j,kpar1))) |
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p2 = MIN(prs(i,j,kpar1)+.5d0*pavg,prsf(i,j,mkzh)) |
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GRAV/(RGAS*tvirtual(tmk(i,j,kpar1), qvp(i,j,kpar1))) |
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p2 = MIN(prs(i,j,kpar1)+.5d0*pavg, prsf(i,j,mkzh)) |
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p1 = p2 - pavg |
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totthe = 0.d0 |
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totqvp = 0.d0 |
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totprs = 0.d0 |
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DO k = mkzh,2,-1 |
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IF (prsf(i,j,k).le.p1) GOTO 35 |
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IF (prsf(i,j,k-1).ge.p2) GOTO 34 |
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IF (prsf(i,j,k) .LE. p1) GOTO 35 |
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IF (prsf(i,j,k-1) .GE. p2) GOTO 34 |
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p = prs(i,j,k) |
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pup = prsf(i,j,k) |
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pdn = prsf(i,j,k-1) |
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q = MAX(qvp(i,j,k),1.d-15) |
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th = tmk(i,j,k)* (1000.d0/p)**(GAMMA* (1.d0+GAMMAMD*q)) |
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th = tmk(i,j,k)*(1000.d0/p)**(GAMMA*(1.d0 + GAMMAMD*q)) |
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pp1 = MAX(p1,pdn) |
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pp2 = MIN(p2,pup) |
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IF (pp2.gt.pp1) then |
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IF (pp2 .GT. pp1) THEN |
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deltap = pp2 - pp1 |
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totqvp = totqvp + q*deltap |
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totthe = totthe + th*deltap |
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@ -353,53 +351,52 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
@@ -353,53 +351,52 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
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DO kpar = kpar1,kpar2 |
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! calculate temperature and moisture properties of parcel |
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! (note, qvppari and tmkpari already calculated above for 2d case.) |
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! Calculate temperature and moisture properties of parcel |
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! (note, qvppari and tmkpari already calculated above for 2d case.) |
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IF (i3dflag.eq.1) then |
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IF (i3dflag .EQ. 1) THEN |
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qvppari = qvp(i,j,kpar) |
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tmkpari = tmk(i,j,kpar) |
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END IF |
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prspari = prs(i,j,kpar) |
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ghtpari = ght(i,j,kpar) |
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gammam = GAMMA* (1.d0+GAMMAMD*qvppari) |
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cpm = CP* (1.d0+CPMD*qvppari) |
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e = MAX(1.d-20,qvppari*prspari/ (EPS+qvppari)) |
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tlcl = TLCLC1/ (LOG(tmkpari**TLCLC2/e)-TLCLC3) +TLCLC4 |
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ethpari = tmkpari* (1000.d0/prspari)**(GAMMA*(1.d0+GAMMAMD*qvppari))*& |
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EXP((THTECON1/tlcl-THTECON2)*qvppari*(1.d0+THTECON3*qvppari)) |
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zlcl = ghtpari + (tmkpari-tlcl)/ (GRAV/cpm) |
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! calculate buoyancy and relative height of lifted parcel at |
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! all levels, and store in bottom up arrays. add a level at the lcl, |
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! and at all points where buoyancy is zero. |
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! |
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! for arrays that go bottom to top |
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gammam = GAMMA * (1.d0 + GAMMAMD*qvppari) |
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cpm = CP * (1.d0 + CPMD*qvppari) |
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e = MAX(1.d-20,qvppari*prspari/(EPS + qvppari)) |
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tlcl = TLCLC1/(LOG(tmkpari**TLCLC2/e) - TLCLC3) + TLCLC4 |
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ethpari = tmkpari*(1000.d0/prspari)**(GAMMA*(1.d0 + GAMMAMD*qvppari))*& |
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EXP((THTECON1/tlcl - THTECON2)*qvppari*(1.d0 + THTECON3*qvppari)) |
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zlcl = ghtpari + (tmkpari - tlcl)/(GRAV/cpm) |
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! Calculate buoyancy and relative height of lifted parcel at |
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! all levels, and store in bottom up arrays. add a level at the lcl, |
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! and at all points where buoyancy is zero. |
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! |
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! For arrays that go bottom to top |
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kk = 0 |
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ilcl = 0 |
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IF (ghtpari.ge.zlcl) THEN |
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! initial parcel already saturated or supersaturated. |
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IF (ghtpari .GE. zlcl) THEN |
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! Initial parcel already saturated or supersaturated. |
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ilcl = 2 |
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klcl = 1 |
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END IF |
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DO k = kpar,1,-1 |
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! for arrays that go bottom to top |
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33 kk = kk + 1 |
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! model level is below lcl |
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! For arrays that go bottom to top |
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33 kk = kk + 1 |
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! Model level is below lcl |
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IF (ght(i,j,k).lt.zlcl) THEN |
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qvplift = qvppari |
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tmklift = tmkpari - GRAV/cpm*(ght(i,j,k)-ghtpari) |
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tvenv = tvirtual(tmk(i,j,k),qvp(i,j,k)) |
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tvlift = tvirtual(tmklift,qvplift) |
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tmklift = tmkpari - GRAV/cpm*(ght(i,j,k) - ghtpari) |
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tvenv = tvirtual(tmk(i,j,k), qvp(i,j,k)) |
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tvlift = tvirtual(tmklift, qvplift) |
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ghtlift = ght(i,j,k) |
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ELSE IF (ght(i,j,k).ge.zlcl .and. ilcl.eq.0) THEN |
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! this model level and previous model level straddle the lcl, |
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! so first create a new level in the bottom-up array, at the lcl. |
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ELSE IF (ght(i,j,k) .GE. zlcl .AND. ilcl .EQ. 0) THEN |
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! This model level and previous model level straddle the lcl, |
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! so first create a new level in the bottom-up array, at the lcl. |
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tmklift = tlcl |
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qvplift = qvppari |
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facden = ght(i,j,k) - ght(i,j,k+1) |
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@ -407,97 +404,92 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
@@ -407,97 +404,92 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
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fac2 = (ght(i,j,k)-zlcl)/facden |
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tmkenv = tmk(i,j,k+1)*fac2 + tmk(i,j,k)*fac1 |
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qvpenv = qvp(i,j,k+1)*fac2 + qvp(i,j,k)*fac1 |
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tvenv = tvirtual(tmkenv,qvpenv) |
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tvlift = tvirtual(tmklift,qvplift) |
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tvenv = tvirtual(tmkenv, qvpenv) |
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tvlift = tvirtual(tmklift, qvplift) |
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ghtlift = zlcl |
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ilcl = 1 |
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ELSE |
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tmklift = tonpsadiabat(ethpari,prs(i,j,k),PSADITHTE,PSADIPRS,PSADITMK,GAMMA,throw_exception) |
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eslift = EZERO*exp(ESLCON1* (tmklift-CELKEL)/(tmklift-ESLCON2)) |
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qvplift = EPS*eslift/ (prs(i,j,k)-eslift) |
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tvenv = tvirtual(tmk(i,j,k),qvp(i,j,k)) |
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tvlift = tvirtual(tmklift,qvplift) |
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tmklift = tonpsadiabat(ethpari, prs(i,j,k), PSADITHTE, PSADIPRS,& |
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PSADITMK, GAMMA, throw_exception) |
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eslift = EZERO*EXP(ESLCON1*(tmklift - CELKEL)/(tmklift - ESLCON2)) |
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qvplift = EPS*eslift/(prs(i,j,k) - eslift) |
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tvenv = tvirtual(tmk(i,j,k), qvp(i,j,k)) |
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tvlift = tvirtual(tmklift, qvplift) |
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ghtlift = ght(i,j,k) |
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END IF |
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! buoyancy |
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buoy(kk) = GRAV* (tvlift-tvenv)/tvenv |
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! Buoyancy |
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buoy(kk) = GRAV*(tvlift - tvenv)/tvenv |
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zrel(kk) = ghtlift - ghtpari |
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IF ((kk.gt.1).and.(buoy(kk)*buoy(kk-1).lt.0.0d0)) THEN |
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! parcel ascent curve crosses sounding curve, so create a new level |
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! in the bottom-up array at the crossing. |
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IF ((kk .GT. 1) .AND. (buoy(kk)*buoy(kk-1) .LT. 0.0d0)) THEN |
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! Parcel ascent curve crosses sounding curve, so create a new level |
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! in the bottom-up array at the crossing. |
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kk = kk + 1 |
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buoy(kk) = buoy(kk-1) |
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zrel(kk) = zrel(kk-1) |
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buoy(kk-1) = 0.d0 |
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zrel(kk-1) = zrel(kk-2) +buoy(kk-2)/& |
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(buoy(kk-2)-buoy(kk))*(zrel(kk)-zrel(kk-2)) |
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zrel(kk-1) = zrel(kk-2) + buoy(kk-2)/& |
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(buoy(kk-2) - buoy(kk))*(zrel(kk) - zrel(kk-2)) |
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END IF |
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IF (ilcl.eq.1) THEN |
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IF (ilcl .EQ. 1) THEN |
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klcl = kk |
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ilcl = 2 |
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GOTO 33 |
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END IF |
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END DO |
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kmax = kk |
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IF (kmax.gt.150) THEN |
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IF (kmax .GT. 150) THEN |
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! Need an exception here |
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CALL throw_exception('capecalc3d: kmax got too big. kmax=',kmax) |
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!STOP |
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END IF |
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! if no lcl was found, set klcl to kmax. it is probably not really |
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! at kmax, but this will make the rest of the routine behave |
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! properly. |
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IF (ilcl.eq.0) klcl=kmax |
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! get the accumulated buoyant energy from the parcel's starting |
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! point, at all levels up to the top level. |
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! If no lcl was found, set klcl to kmax. it is probably not really |
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! at kmax, but this will make the rest of the routine behave |
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! properly. |
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IF (ilcl .EQ. 0) klcl=kmax |
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! Get the accumulated buoyant energy from the parcel's starting |
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! point, at all levels up to the top level. |
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benaccum(1) = 0.0d0 |
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benamin = 9d9 |
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DO k = 2,kmax |
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dz = zrel(k) - zrel(k-1) |
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benaccum(k) = benaccum(k-1) +.5d0*dz* (buoy(k-1)+buoy(k)) |
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IF (benaccum(k).lt.benamin) then |
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benaccum(k) = benaccum(k-1) + .5d0*dz*(buoy(k-1) + buoy(k)) |
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IF (benaccum(k) .LT. benamin) THEN |
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benamin = benaccum(k) |
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END IF |
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END DO |
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! determine equilibrium level (el), which we define as the highest |
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! level of non-negative buoyancy above the lcl. note, this may be |
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! the top level if the parcel is still buoyant there. |
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! Determine equilibrium level (el), which we define as the highest |
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! level of non-negative buoyancy above the lcl. note, this may be |
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! the top level if the parcel is still buoyant there. |
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DO k = kmax,klcl,-1 |
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IF (buoy(k).ge.0.d0) THEN |
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! k of equilibrium level |
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IF (buoy(k) .GE. 0.d0) THEN |
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! k of equilibrium level |
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kel = k |
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GOTO 50 |
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END IF |
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END DO |
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! if we got through that loop, then there is no non-negative |
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! buoyancy above the lcl in the sounding. in these situations, |
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! both cape and cin will be set to -0.1 j/kg. (see below about |
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! missing values in v6.1.0). also, where cape is |
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! non-zero, cape and cin will be set to a minimum of +0.1 j/kg, so |
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! that the zero contour in either the cin or cape fields will |
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! circumscribe regions of non-zero cape. |
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! in v6.1.0 of ncl, we added a _fillvalue attribute to the return |
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! value of this function. at that time we decided to change -0.1 |
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! to a more appropriate missing value, which is passed into this |
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! routine as cmsg. |
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! cape(i,j,kpar) = -0.1d0 |
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! cin(i,j,kpar) = -0.1d0 |
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! If we got through that loop, then there is no non-negative |
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|
! buoyancy above the lcl in the sounding. in these situations, |
|
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|
|
! both cape and cin will be set to -0.1 j/kg. (see below about |
|
|
|
|
! missing values in v6.1.0). also, where cape is |
|
|
|
|
! non-zero, cape and cin will be set to a minimum of +0.1 j/kg, so |
|
|
|
|
! that the zero contour in either the cin or cape fields will |
|
|
|
|
! circumscribe regions of non-zero cape. |
|
|
|
|
|
|
|
|
|
! In v6.1.0 of ncl, we added a _fillvalue attribute to the return |
|
|
|
|
! value of this function. at that time we decided to change -0.1 |
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|
|
|
! to a more appropriate missing value, which is passed into this |
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|
|
! routine as cmsg. |
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! cape(i,j,kpar) = -0.1d0 |
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! cin(i,j,kpar) = -0.1d0 |
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cape(i,j,kpar) = cmsg |
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|
cin(i,j,kpar) = cmsg |
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klfc = kmax |
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|
@ -506,47 +498,46 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
@@ -506,47 +498,46 @@ SUBROUTINE f_computecape(prs,tmk,qvp,ght,ter,sfp,cape,cin,&
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50 CONTINUE |
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! if there is an equilibrium level, then cape is positive. we'll |
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|
! define the level of free convection (lfc) as the point below the |
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|
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! el, but at or above the lcl, where accumulated buoyant energy is a |
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|
! minimum. the net positive area (accumulated buoyant energy) from |
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|
|
! the lfc up to the el will be defined as the cape, and the net |
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! negative area (negative of accumulated buoyant energy) from the |
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|
|
! parcel starting point to the lfc will be defined as the convective |
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|
|
! inhibition (cin). |
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|
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|
|
|
! first get the lfc according to the above definition. |
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|
|
|
! If there is an equilibrium level, then cape is positive. we'll |
|
|
|
|
! define the level of free convection (lfc) as the point below the |
|
|
|
|
! el, but at or above the lcl, where accumulated buoyant energy is a |
|
|
|
|
! minimum. the net positive area (accumulated buoyant energy) from |
|
|
|
|
! the lfc up to the el will be defined as the cape, and the net |
|
|
|
|
! negative area (negative of accumulated buoyant energy) from the |
|
|
|
|
! parcel starting point to the lfc will be defined as the convective |
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|
|
|
! inhibition (cin). |
|
|
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|
|
|
! First get the lfc according to the above definition. |
|
|
|
|
benamin = 9d9 |
|
|
|
|
klfc = kmax |
|
|
|
|
DO k = klcl,kel |
|
|
|
|
IF (benaccum(k).lt.benamin) THEN |
|
|
|
|
IF (benaccum(k) .LT. benamin) THEN |
|
|
|
|
benamin = benaccum(k) |
|
|
|
|
klfc = k |
|
|
|
|
END IF |
|
|
|
|
END DO |
|
|
|
|
|
|
|
|
|
! now we can assign values to cape and cin |
|
|
|
|
! Now we can assign values to cape and cin |
|
|
|
|
|
|
|
|
|
cape(i,j,kpar) = MAX(benaccum(kel)-benamin,0.1d0) |
|
|
|
|
cin(i,j,kpar) = MAX(-benamin,0.1d0) |
|
|
|
|
cape(i,j,kpar) = MAX(benaccum(kel)-benamin, 0.1d0) |
|
|
|
|
cin(i,j,kpar) = MAX(-benamin, 0.1d0) |
|
|
|
|
|
|
|
|
|
! cin is uninteresting when cape is small (< 100 j/kg), so set |
|
|
|
|
! cin to -0.1 (see note about missing values in v6.1.0) in |
|
|
|
|
! that case. |
|
|
|
|
! cin is uninteresting when cape is small (< 100 j/kg), so set |
|
|
|
|
! cin to -0.1 (see note about missing values in v6.1.0) in |
|
|
|
|
! that case. |
|
|
|
|
|
|
|
|
|
! in v6.1.0 of ncl, we added a _fillvalue attribute to the return |
|
|
|
|
! value of this function. at that time we decided to change -0.1 |
|
|
|
|
! to a more appropriate missing value, which is passed into this |
|
|
|
|
! routine as cmsg. |
|
|
|
|
! In v6.1.0 of ncl, we added a _fillvalue attribute to the return |
|
|
|
|
! value of this function. at that time we decided to change -0.1 |
|
|
|
|
! to a more appropriate missing value, which is passed into this |
|
|
|
|
! routine as cmsg. |
|
|
|
|
|
|
|
|
|
! IF (cape(i,j,kpar).lt.100.d0) cin(i,j,kpar) = -0.1d0 |
|
|
|
|
IF (cape(i,j,kpar).lt.100.d0) cin(i,j,kpar) = cmsg |
|
|
|
|
! IF (cape(i,j,kpar).lt.100.d0) cin(i,j,kpar) = -0.1d0 |
|
|
|
|
IF (cape(i,j,kpar) .LT. 100.d0) cin(i,j,kpar) = cmsg |
|
|
|
|
102 CONTINUE |
|
|
|
|
|
|
|
|
|
END DO |
|
|
|
|
|
|
|
|
|
IF (i3dflag.eq.0) THEN |
|
|
|
|
IF (i3dflag .EQ. 0) THEN |
|
|
|
|
cape(i,j,mkzh) = cape(i,j,kpar1) |
|
|
|
|
cin(i,j,mkzh) = cin(i,j,kpar1) |
|
|
|
|
! meters agl |
|
|
|
|