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cloudspec.f90
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cloudspec.f90
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!*********************************************************************************
! This Module provides cloud droplet spectra statistical measures
!********************************************************************************
MODULE cloudspecMD
use constant
implicit none
Contains
SUBROUTINE cloudspec(i0bin,aerobin,aerostate,concv,&
&prad,pmass,cdconc,cdbeta,cdrmean,cdrsd,cddisp,acbin,&
&lwc,re,rv,skew,kurt,rrainLN,ThrsFuncLN)
implicit none
integer,parameter :: neye=3
integer, intent(in) :: i0bin,aerobin
integer, dimension(aerobin), intent(in) :: aerostate
real(RLK), dimension(aerobin), intent(in) :: prad,pmass,concv
integer, dimension(neye),intent(out) :: acbin
real(RLK),dimension(neye),intent(out) :: cdconc,cdbeta,cdrmean,cdrsd,cddisp,lwc
real(RLK),dimension(neye),intent(out) :: skew,kurt,rrainLN,ThrsFuncLN,re,rv
real(RLK),dimension(neye) :: cd_cm2, cd_cm3, cd_cm4, cd_m2, cd_m3, cd_m6
real(RLK), dimension(neye) :: rainLN_m6, rainLN_m3, vc
integer, dimension(neye) :: eye
integer :: ii, jj
!eye: 1-Reutter et al. 2009; 2-radius>1um; 3-radius>Kohler critical radius
cdconc=0.0 !number concentration per volume
cdrmean=0.0 !mean radius
cdrsd=0.0 !standard deviation
cddisp=0.0 !relative dispersion
cdbeta=0.0
!central moment of cloud droplet spectrum
cd_cm2=0.0;cd_cm3=0.0;cd_cm4=0.0
!moment of cloud droplet spectrum
cd_m2=0.0; cd_m3=0.0; cd_m6=0.0
acbin=0 !activated particle bin
lwc=0.0 !liqudi water content
vc=0.0 !total cloud water volume
!ThrsFuncLR6=0
ThrsFuncLN=0.0
eye=0
do ii=i0bin,aerobin
CALL valueeye(eye,neye,aerostate(ii),prad(ii))
do jj=1,neye
if (eye(jj)==1) then
acbin(jj)=acbin(jj)+1
cdconc(jj)=cdconc(jj)+concv(ii)
lwc(jj)=lwc(jj)+concv(ii)*pmass(ii)
vc(jj)=vc(jj)+concv(ii)*4.0/3.0*pi*prad(ii)**3.0 !cm3/cm3
cdrmean(jj)=cdrmean(jj)+prad(ii)*concv(ii)
cd_m2(jj)=cd_m2(jj)+(prad(ii)**2.0)*concv(ii)
cd_m3(jj)=cd_m3(jj)+(prad(ii)**3.0)*concv(ii)
cd_m6(jj)=cd_m6(jj)+(prad(ii)**6.0)*concv(ii)
else
acbin(jj)=0
cdconc(jj)=0.0
lwc(jj)=0.0
vc(jj)=0.0
cdrmean(jj)=0.0
cd_m2(jj)=0.0
cd_m3(jj)=0.0
cd_m6(jj)=0.0
endif
enddo
enddo
do jj=1,neye
if(cdconc(jj)/=0.0) then
cdrmean(jj)=cdrmean(jj)/cdconc(jj)
rv(jj)=(vc(jj)/cdconc(jj)/4.0*3.0/pi)**(1.0/3.0) ! volume mean radius
re(jj)=cd_m3(jj)/cd_m2(jj)
else
cdrmean(jj)=0.0
rv(jj)=0.0
re(jj)=0.0
endif
enddo
cdbeta=re/rv
eye=0
do ii=i0bin,aerobin
CALL valueeye(eye,neye,aerostate(ii),prad(ii))
do jj=1,neye
if(eye(jj)==1) then
cd_cm2(jj)=cd_cm2(jj)+((prad(ii)-cdrmean(jj))**2.0)*concv(ii)
cd_cm3(jj)=cd_cm3(jj)+((prad(ii)-cdrmean(jj))**3.0)*concv(ii)
cd_cm4(jj)=cd_cm4(jj)+((prad(ii)-cdrmean(jj))**4.0)*concv(ii)
else
cd_cm2(jj)=0.0
cd_cm3(jj)=0.0
cd_cm4(jj)=0.0
endif
enddo
enddo
do jj=1,neye
if(cdconc(jj)/=0.0) then
cdrsd(jj)=sqrt(cd_cm2(jj)/cdconc(jj))
cddisp(jj)=cdrsd(jj)/cdrmean(jj)
skew(jj)=cd_cm3(jj)/cdconc(jj)/(cdrsd(jj)**3.0)
kurt(jj)=cd_cm4(jj)/cdconc(jj)/(cdrsd(jj)**4.0)
else
cdrsd(jj)=0.0
cddisp(jj)=0.0
skew(jj)=0.0
kurt(jj)=0.0
endif
enddo
! Liu et al. (2004) eq.5 and eq.7
do jj=1,neye
!rrainLR6(jj)=23.72*1.0e-7/lwc(jj)**(1.0/6.0)/(rv(jj)*1.12)**(1.0/2.0)
rrainLN(jj)=2.8522e-6*cdconc(jj)**(1.0/6.0)/lwc(jj)**(1.0/3.0)
enddo
!rainLR6_m6=0; rainLR6_m3=0
rainLN_m6=0.0; rainLN_m3=0.0
do ii=i0bin,aerobin
do jj=1,neye
! if (prad(ii)>=rrainLR6(jj)) then
! rainLR6_m6(jj)=rainLR6_m6(jj)+(prad(ii)**6.0)*concv(ii)
! rainLR6_m3(jj)=rainLR6_m3(jj)+(prad(ii)**3.0)*concv(ii)
! else
! rainLR6_m6(jj)=0
! rainLR6_m3(jj)=0
! endif
if (prad(ii)>=rrainLN(jj)) then
rainLN_m6(jj)=rainLN_m6(jj)+(prad(ii)**6.0)*concv(ii)
rainLN_m3(jj)=rainLN_m3(jj)+(prad(ii)**3.0)*concv(ii)
else
rainLN_m6(jj)=0.0
rainLN_m3(jj)=0.0
endif
enddo
enddo
do jj=1,neye
! ThrsFuncLR6(jj)=rainLR6_m6(jj)*rainLR6_m3(jj)/cd_m6(jj)/cd_m3(jj)
ThrsFuncLN(jj)=rainLN_m6(jj)*rainLN_m3(jj)/cd_m6(jj)/cd_m3(jj)
enddo
END SUBROUTINE cloudspec
SUBROUTINE valueeye(eye,neye,aerostatei,pradi)
implicit none
integer, intent(in) :: neye
integer, dimension(neye), intent(out) :: eye
real(RLK), intent(in) :: pradi
integer, intent(in) :: aerostatei
if(aerostatei==2.or.aerostatei==4) then
eye(1)=1
else
eye(1)=0
endif
if (pradi>1.0E-04) then
eye(2)=1
else
eye(2)=0
endif
if (aerostatei==3.or.aerostatei==4) then
eye(3)=1
else
eye(3)=0
endif
END SUBROUTINE valueeye
END MODULE cloudspecMD