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Fluxf.f03
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Fluxf.f03
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Subroutine Fluxf(l)
use COM
implicit none
integer i,j,l,s1,s2
real(8),dimension(:,:),pointer::DE1,DE2,DG1,DG2,DF1,DF2,Qp1,Qp2,dQp1,dQp2,sax,say,h
real(8),dimension(:),pointer::hbcl,hbcll,hbcr,hbcrr,hbcu,hbcuu,hbcd,hbcdd,Qp1bcl,Qp1bcr,Qp2bcu,&
Qp2bcd,dQp1bcl,dQp1bcr,dQp2bcu,dQp2bcd,dul,dur,dvu,dvd,saxl,saxr,sayu,sayd
real(8) panel,beta,qe0,qe1,b
real(8) ahP,ahW,ahE,ahN,ahS,bh
real(8) lamda1(In(l),Jg(l)),lamda2(Ig(l),Jn(l)),Qup1(In(l),Jg(l)),Qup2(Ig(l),Jn(l)),Qlw1(In(l),Jg(l)),&
Qlw2(Ig(l),Jn(l)),r1(In(l),Jg(l)),r2(Ig(l),Jn(l)),phi1(In(l),Jg(l)),phi2(Ig(l),Jn(l)),Q1(In(l),Jg(l)),&
Q2(Ig(l),Jn(l))
real(8) Cp1(In(l),Jg(l)),Cp2(Ig(l),Jn(l)),Cn1(In(l),Jg(l)),Cn2(Ig(l),Jn(l)),Dp1(In(l),Jg(l)),&
Dp2(Ig(l),Jn(l)),Dn1(In(l),Jg(l)),Dn2(Ig(l),Jn(l)),Ca1(In(l),Jg(l)),Ca2(Ig(l),Jn(l))
DE1=>Grids(l)%DE1
DG1=>Grids(l)%DG1
DF1=>Grids(l)%DF1
DE2=>Grids(l)%DE2
DG2=>Grids(l)%DG2
DF2=>Grids(l)%DF2
Qp1=>Fluxs(l)%Qp1
Qp2=>Fluxs(l)%Qp2
dQp1=>Fluxs(l)%dQp1
dQp2=>Fluxs(l)%dQp2
sax=>Fluxs(l)%sax
say=>Fluxs(l)%say
h=>Icecoordinates(l)%h
hbcl=>Boundatas(l)%hbcl
hbcr=>Boundatas(l)%hbcr
hbcu=>Boundatas(l)%hbcu
hbcd=>Boundatas(l)%hbcd
hbcll=>Boundatas(l)%hbcll
hbcrr=>Boundatas(l)%hbcrr
hbcuu=>Boundatas(l)%hbcuu
hbcdd=>Boundatas(l)%hbcdd
Qp1bcl=>Boundatas(l)%Qp1bcl
Qp1bcr=>Boundatas(l)%Qp1bcr
Qp2bcu=>Boundatas(l)%Qp2bcu
Qp2bcd=>Boundatas(l)%Qp2bcd
dQp1bcl=>Boundatas(l)%dQp1bcl
dQp1bcr=>Boundatas(l)%dQp1bcr
dQp2bcu=>Boundatas(l)%dQp2bcu
dQp2bcd=>Boundatas(l)%dQp2bcd
dul=>Boundatas(l)%dul
dur=>Boundatas(l)%dur
dvu=>Boundatas(l)%dvu
dvd=>Boundatas(l)%dvd
saxl=>Boundatas(l)%saxl
saxr=>Boundatas(l)%saxr
sayu=>Boundatas(l)%sayu
sayd=>Boundatas(l)%sayd
lamda1=dt/DE1**0.5
lamda2=dt/DG2**0.5
DO i=1,In(l)
DO j=1,Jg(l)
if(i==1) then
Qup1(i,j)=0.5*(Qp1(i,j)+Qp1bcl(j))-0.5*sgn(sax(i,j))*(Qp1(i,j)-Qp1bcl(j))
Qlw1(i,j)=0.5*(Qp1(i,j)+Qp1bcl(j))-0.5*dt*sax(i,j)**2*(h(i,j)-hbcl(j))/DE1(i,j)**0.5
else if(i==In(l)) then
Qup1(i,j)=0.5*(Qp1(i-1,j)+Qp1bcr(j))-0.5*sgn(sax(i,j))*(Qp1bcr(j)-Qp1(i-1,j))
Qlw1(i,j)=0.5*(Qp1(i-1,j)+Qp1bcr(j))-0.5*dt*sax(i,j)**2*(hbcr(j)-h(i-1,j))/DE1(i,j)**0.5
else
Qup1(i,j)=0.5*(Qp1(i,j)+Qp1(i-1,j))-0.5*sgn(sax(i,j))*(Qp1(i,j)-Qp1(i-1,j))
Qlw1(i,j)=0.5*(Qp1(i,j)+Qp1(i-1,j))-0.5*dt*sax(i,j)**2*(h(i,j)-h(i-1,j))/DE1(i,j)**0.5
end if
end DO
end DO
DO i=1,Ig(l)
DO j=1,Jn(l)
if(j==1) then
Qup2(i,j)=0.5*(Qp2(i,j)+Qp2bcu(i))-0.5*sgn(say(i,j))*(Qp2(i,j)-Qp2bcu(i))
Qlw2(i,j)=0.5*(Qp2(i,j)+Qp2bcu(i))-0.5*dt*say(i,j)**2*(h(i,j)-hbcu(i))/DG2(i,j)**0.5
else if(j==Jn(l)) then
Qup2(i,j)=0.5*(Qp2(i,j-1)+Qp2bcd(i))-0.5*sgn(say(i,j))*(Qp2bcd(i)-Qp2(i,j-1))
Qlw2(i,j)=0.5*(Qp2(i,j-1)+Qp2bcd(i))-0.5*dt*say(i,j)**2*(hbcd(i)-h(i,j-1))/DG2(i,j)**0.5
else
Qup2(i,j)=0.5*(Qp2(i,j)+Qp2(i,j-1))-0.5*sgn(say(i,j))*(Qp2(i,j)-Qp2(i,j-1))
Qlw2(i,j)=0.5*(Qp2(i,j)+Qp2(i,j-1))-0.5*dt*say(i,j)**2*(h(i,j)-h(i,j-1))/DG2(i,j)**0.5
end if
end DO
end DO
DO i=1,In(l)
DO j=1,Jg(l)
s1=sgn(sax(i,j))
if(i==1) then
if(s1==0.or.abs(h(i,j)-hbcl(j))<1e-30) then
r1(i,j)=1
else if(s1<0) then
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-hbcl(j)))
else
r1(i,j)=(abs(saxl(j))-dt*saxl(j)**2/dul(j)**0.5)*(hbcl(j)-hbcll(j))/((abs(sax(i,j))-lamda1(i,j)*sax(i,j)**2)*(h(i,j)-hbcl(j)))
end if
else if(i==2) then
if(s1==0.or.abs(h(i,j)-h(i-1,j))<1e-30) then
r1(i,j)=1
else if(s1>0) then
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-hbcl(j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-h(i-1,j)))
else
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-h(i-1,j)))
end if
else if(i==Ig(l)) then
if(s1==0.or.abs(h(i,j)-h(i-1,j))<1e-30) then
r1(i,j)=1
else if(s1<0) then
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(hbcr(j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-h(i-1,j)))
else
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-h(i-1,j)))
end if
else if(i==In(l)) then
if(s1==0.or.abs(hbcr(j)-h(i-1,j))<1e-30) then
r1(i,j)=1
else if(s1>0) then
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(hbcr(j)-h(i-1,j)))
else
r1(i,j)=(abs(saxr(j))-dt*saxr(j)**2/dur(j)**0.5)*(hbcrr(j)-hbcr(j))/((abs(sax(i,j))-lamda1(i,j)*sax(i,j)**2)*(hbcr(j)-h(i-1,j)))
end if
else
if(s1==0.or.abs(h(i,j)-h(i-1,j))<1e-30) then
r1(i,j)=1
else
r1(i,j)=(abs(sax(i-s1,j))-lamda1(i-s1,j)*sax(i-s1,j)**2)*(h(i-s1,j)-h(i-1-s1,j))/((abs(sax(i,j))-&
lamda1(i,j)*sax(i,j)**2)*(h(i,j)-h(i-1,j)))
end if
end if
end DO
end DO
DO i=1,Ig(l)
DO j=1,Jn(l)
s2=sgn(say(i,j))
if(j==1) then
if(s2==0.or.abs(h(i,j)-hbcu(i))<1e-30) then
r2(i,j)=1
else if(s2>0) then
r2(i,j)=(abs(sayu(i))-dt*sayu(i)**2/dvu(i)**0.5)*(hbcu(i)-hbcuu(i))/((abs(say(i,j))-lamda2(i,j)*say(i,j)**2)*(h(i,j)-hbcu(i)))
else
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-hbcu(i)))
end if
else if(j==2) then
if(s2==0.or.abs(h(i,j)-h(i,j-1))<1e-30) then
r2(i,j)=1
else if(s2>0) then
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-hbcu(i))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-h(i,j-1)))
else
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-h(i,j-1)))
end if
else if(j==Jg(l)) then
if(s2==0.or.abs(h(i,j)-h(i,j-1))<1e-30) then
r2(i,j)=1
else if(s2<0) then
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(hbcd(i)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-h(i,j-1)))
else
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-h(i,j-1)))
end if
else if(j==Jn(l)) then
if(s2==0.or.abs(hbcd(i)-h(i,j-1))<1e-30) then
r2(i,j)=1
else if(s2<0) then
r2(i,j)=(abs(sayd(i))-dt*sayd(i)**2/dvd(i)**0.5)*(hbcdd(i)-hbcd(i))/((abs(say(i,j))-lamda2(i,j)*say(i,j)**2)*(hbcd(i)-h(i,j-1)))
else
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(hbcd(i)-h(i,j-1)))
end if
else
if(s2==0.or.abs(h(i,j)-h(i,j-1))<1e-30) then
r2(i,j)=1
else
r2(i,j)=(abs(say(i,j-s2))-lamda2(i,j-s2)*say(i,j-s2)**2)*(h(i,j-s2)-h(i,j-1-s2))/((abs(say(i,j))-&
lamda2(i,j)*say(i,j)**2)*(h(i,j)-h(i,j-1)))
end if
end if
end DO
end DO
DO i=1,In(l)
DO j=1,Jg(l)
phi1(i,j)=max(0.0,min(2*r1(i,j),1.0),min(r1(i,j),2.0))
!phi1(i,j)=max(0.0,min(r1(i,j),1.0))
if(discretecontrol=='TVD') then
Q1(i,j)=(1-phi1(i,j))*Qup1(i,j)+phi1(i,j)*Qlw1(i,j)
else if(discretecontrol=='upwind') then
Q1(i,j)=Qup1(i,j)
end if
end DO
end DO
DO i=1,Ig(l)
DO j=1,Jn(l)
phi2(i,j)=max(0.0,min(2*r2(i,j),1.0),min(r2(i,j),2.0))
!phi2(i,j)=max(0.0,min(r2(i,j),1.0))
if(discretecontrol=='TVD') then
Q2(i,j)=(1-phi2(i,j))*Qup2(i,j)+phi2(i,j)*Qlw2(i,j)
else if(discretecontrol=='upwind') then
Q2(i,j)=Qup2(i,j)
end if
end DO
end DO
if(solutioncontrol=='implicit') then
DO i=1,In(l)
DO j=1,Jg(l)
if(i==1) then
Cp1(i,j)=dQp1bcl(j)/2+sgn(sax(i,j))*dQp1bcl(j)/2
Dp1(i,j)=dQp1bcl(j)/2+lamda1(i,j)*sax(i,j)**2/2
Cn1(i,j)=dQp1(i,j)/2-sgn(sax(i,j))*dQp1(i,j)/2
Dn1(i,j)=dQp1(i,j)/2-lamda1(i,j)*sax(i,j)**2/2
else if(i==In(l)) then
Cp1(i,j)=dQp1(i-1,j)/2+sgn(sax(i,j))*dQp1(i-1,j)/2
Dp1(i,j)=dQp1(i-1,j)/2+lamda1(i,j)*sax(i,j)**2/2
Cn1(i,j)=dQp1bcr(j)/2-sgn(sax(i,j))*dQp1bcr(j)/2
Dn1(i,j)=dQp1bcr(j)/2-lamda1(i,j)*sax(i,j)**2/2
else
Cp1(i,j)=dQp1(i-1,j)/2+sgn(sax(i,j))*dQp1(i-1,j)/2
Dp1(i,j)=dQp1(i-1,j)/2+lamda1(i,j)*sax(i,j)**2/2
Cn1(i,j)=dQp1(i,j)/2-sgn(sax(i,j))*dQp1(i,j)/2
Dn1(i,j)=dQp1(i,j)/2-lamda1(i,j)*sax(i,j)**2/2
end if
Ca1(i,j)=sqrt(DG1(i,j)-DF1(i,j)**2/DE1(i,j))
end DO
end DO
DO i=1,Ig(l)
DO j=1,Jn(l)
if(j==1) then
Cp2(i,j)=dQp2bcu(i)/2+sgn(say(i,j))*dQp2bcu(i)/2
Dp2(i,j)=dQp2bcu(i)/2+lamda2(i,j)*say(i,j)**2/2
Cn2(i,j)=dQp2(i,j)/2-sgn(say(i,j))*dQp2(i,j)/2
Dn2(i,j)=dQp2(i,j)/2-lamda2(i,j)*say(i,j)**2/2
else if(j==Jn(l)) then
Cp2(i,j)=dQp2(i,j-1)/2+sgn(say(i,j))*dQp2(i,j-1)/2
Dp2(i,j)=dQp2(i,j-1)/2+lamda2(i,j)*say(i,j)**2/2
Cn2(i,j)=dQp2bcd(i)/2-sgn(say(i,j))*dQp2bcd(i)/2
Dn2(i,j)=dQp2bcd(i)/2-lamda2(i,j)*say(i,j)**2/2
else
Cp2(i,j)=dQp2(i,j-1)/2+sgn(say(i,j))*dQp2(i,j-1)/2
Dp2(i,j)=dQp2(i,j-1)/2+lamda2(i,j)*say(i,j)**2/2
Cn2(i,j)=dQp2(i,j)/2-sgn(say(i,j))*dQp2(i,j)/2
Dn2(i,j)=dQp2(i,j)/2-lamda2(i,j)*say(i,j)**2/2
end if
Ca2(i,j)=sqrt(DE2(i,j)-DF2(i,j)**2/DG2(i,j))
end DO
end DO
DO i=1,Ig(l)
DO j=1,Jg(l)
panel=Grids(l)%panel(i,j)
beta=Forces(l)%beta(i,j)
qe0=Energys(l)%qe0(i,j)
qe1=Energys(l)%qe1(i,j)
b=Icecoordinates(l)%b(i,j)
if(discretecontrol=='TVD') then
ahP=dt*((Ca1(i+1,j)*(1-phi1(i+1,j))*Cp1(i+1,j)-Ca1(i,j)*(1-phi1(i,j))*Cn1(i,j)+Ca1(i+1,j)*phi1(i+1,j)*Dp1(i+1,j)-Ca1(i,j)*phi1(i,j)*Dn1(i,j))/panel+&
(Ca2(i,j+1)*(1-phi2(i,j+1))*Cp2(i,j+1)-Ca2(i,j)*(1-phi2(i,j))*Cn2(i,j)+Ca2(i,j+1)*phi2(i,j+1)*Dp2(i,j+1)-Ca2(i,j)*phi2(i,j)*Dn2(i,j))/panel)+1
ahE=-dt*(Ca1(i+1,j)*(1-phi1(i+1,j))*Cn1(i+1,j)+Ca1(i+1,j)*phi1(i+1,j)*Dn1(i+1,j))/panel
ahW=dt*(Ca1(i,j)*(1-phi1(i,j))*Cp1(i,j)+Ca1(i,j)*phi1(i,j)*Dp1(i,j))/panel
ahN=-dt*(Ca2(i,j+1)*(1-phi2(i,j+1))*Cn2(i,j+1)+Ca2(i,j+1)*phi2(i,j+1)*Dn2(i,j+1))/panel
ahS=dt*(Ca2(i,j)*(1-phi2(i,j))*Cp2(i,j)+Ca2(i,j)*phi2(i,j)*Dp2(i,j))/panel
if(i==1.and.topos(l)%nbl(j)==0) then
ahW=0
ahP=ahP+dt*(Ca1(i,j)*(1-phi1(i,j))*Cn1(i,j)+Ca1(i,j)*phi1(i,j)*Dn1(i,j))/panel
else if(i==Ig(l).and.topos(l)%nbr(j)==0) then
ahE=0
ahP=ahP-dt*(Ca1(i+1,j)*(1-phi1(i+1,j))*Cp1(i+1,j)+Ca1(i+1,j)*phi1(i+1,j)*Dp1(i+1,j))/panel
else if(j==1.and.topos(l)%nbu(i)==0) then
ahS=0
ahP=ahP+dt*(Ca2(i,j)*(1-phi2(i,j))*Cn2(i,j)+Ca2(i,j)*phi2(i,j)*Dn2(i,j))/panel
else if(j==Jg(l).and.topos(l)%nbd(i)==0) then
ahN=0
ahP=ahP-dt*(Ca2(i,j+1)*(1-phi2(i,j+1))*Cp2(i,j+1)+Ca2(i,j+1)*phi2(i,j+1)*Dp2(i,j+1))/panel
end if
else if(discretecontrol=='upwind') then
ahP=dt*((Ca1(i+1,j)*Cp1(i+1,j)-Ca1(i,j)*Cn1(i,j))/panel+(Ca2(i,j+1)*Cp2(i,j+1)-Ca2(i,j)*Cn2(i,j))/panel)+1
ahE=-dt*Ca1(i+1,j)*Cn1(i+1,j)/panel
ahW=dt*Ca1(i,j)*Cp1(i,j)/panel
ahN=-dt*Ca2(i,j+1)*Cn2(i,j+1)/panel
ahS=dt*Ca2(i,j)*Cp2(i,j)/panel
if(i==1.and.topos(l)%nbl(j)==0) then
ahW=0
ahP=ahP+dt*Ca1(i,j)*Cn1(i,j)/panel
else if(i==Ig(l).and.topos(l)%nbr(j)==0) then
ahE=0
ahP=ahP-dt*Ca1(i+1,j)*Cp1(i+1,j)/panel
else if(j==1.and.topos(l)%nbu(i)==0) then
ahS=0
ahP=ahP+dt*Ca2(i,j)*Cn2(i,j)/panel
else if(j==Jg(l).and.topos(l)%nbd(i)==0) then
ahN=0
ahP=ahP-dt*Ca2(i,j+1)*Cp2(i,j+1)/panel
end if
end if
if(icecoupled=='Y') then
bh=-dt*(Ca1(i+1,j)*Q1(i+1,j)-Ca1(i,j)*Q1(i,j)+Ca2(i,j+1)*Q2(i,j+1)-Ca2(i,j)*Q2(i,j))/panel+&
lwc*beta*Wf*dt/rhow-(alpha*ki*(Tf-Ts)/b-kw*(qe0+qe1*Tf))*dt/(rhow*Lf)
else if(icecoupled=='N') then
bh=-dt*(Ca1(i+1,j)*Q1(i+1,j)-Ca1(i,j)*Q1(i,j)+Ca2(i,j+1)*Q2(i,j+1)-Ca2(i,j)*Q2(i,j))/panel+&
lwc*beta*Wf*dt/rhow
end if
Imps(l)%ahM(1,i,j)=ahP
Imps(l)%ahM(2,i,j)=ahW
Imps(l)%ahM(3,i,j)=ahE
Imps(l)%ahM(4,i,j)=ahS
Imps(l)%ahM(5,i,j)=ahN
Imps(l)%bh(i,j)=bh
end DO
end DO
end if
Fluxs(l)%Q1=Q1
Fluxs(l)%Q2=Q2
end subroutine Fluxf