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197 lines (197 loc) · 6.16 KB
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#include "zeus2d.def"
c=======================================================================
c/////////////////////////// SUBROUTINE EMFS \\\\\\\\\\\\\\\\\\\\\\\\\
c
subroutine emfs(term1,term2)
#ifdef MHD
c
c PURPOSE: Computes the emf's to be used in the CT scheme update of the
c magnetic field components using upwind differencing along
c characteristics.
c
c EXTERNALS: X1INTZC, X2INTZC
c
c LOCALS:
c-----------------------------------------------------------------------
implicit NONE
#include "param.h"
#include "grid.h"
#include "field.h"
#include "root.h"
#include "bndry.h"
#include "scratch.h"
REAL one
REAL term1(in,jn),term2(in,jn)
integer i,j,ilower
REAL va(ijn),vm(ijn),vp(ijn),v0(ijn),tv(ijn),tb(ijn)
& ,v2m(in),b2m(in),v2p(in),b2p(in),v20(in),b20(in)
& ,v1m(jn),b1m(jn),v1p(jn),b1p(jn),v10(jn),b10(jn)
& ,b2star(in,jn),v2star(in,jn),b1star(jn),v1star(jn),sgn,sdp,sdm
equivalence
& (va ,wij0),(vp ,wij1),(vm ,wij2),(v0 ,wij3),(tv ,wij4),(tb ,wij5)
&,(v2m,wi 0),(b2m,wi 1),(v2p,wi 2),(b2p,wi 3),(v20,wi 4),(b20,wi 5)
&,(v1m,wj 0),(b1m,wj 1),(v1p,wj 2),(b1p,wj 3),(v10,wj 4),(b10,wj 5)
&,(b2star,wc),(v2star,wd),(b1star,wj6),(v1star,wj7)
c
external x1intzc,x2intzc
c\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\//////////////////////////////////
c=======================================================================
c
one = 1.0
c
c Start with MoC calculation of v2* and b2*
c
do 100 j=js,je+1
c
c wave speeds
c
do 10 i=ii(j),iop1(j)
va(i) = 0.5*abs(b1(i,j)+b1(i,j-1))
& /sqrt(0.25*(d(i-1,j)+d(i-1,j-1)+d(i,j)+d(i,j-1)))
va(i) = max(va(i), tiny)
v0(i) = 0.5*(v1(i,j)+v1(i,j-1))-vg1(i)
vp(i) = v0(i) + va(i)
vm(i) = v0(i) - va(i)
10 continue
c
c interpolations
c
do 20 i=iim2(j),iop2(j)
tv(i) = v2(i,j)-vg2(j)
tb(i) = b2(i,j)
20 continue
call x1intzc(tv,vm,wi0,j,iords2,0,v2m)
call x1intzc(tb,vm,wi0,j,iordb2,0,b2m)
call x1intzc(tv,vp,wi0,j,iords2,0,v2p)
call x1intzc(tb,vp,wi0,j,iordb2,0,b2p)
c
c boundary conditions on interpolated variables
c
if (miib(j).eq.1 .or. miib(j).eq.-1) then
v2p(ii (j)) = v2m(ii (j))
b2p(ii (j)) = b2m(ii (j))
endif
if (miib(j).eq.2) then
v2p(ii (j)) = v2m(ii (j))
b2p(ii (j)) = b2m(ii (j))
endif
if (miib(j).eq.4) then
v2p(ii (j)) = v2p(iop1(j))
b2p(ii (j)) = b2p(iop1(j))
endif
if (miib(j).eq.5) then
v2p(ii (j)) = v2m(ii (j))
b2p(ii (j)) =-b2m(ii (j))
endif
c
if (moib(j).eq.1 .or. moib(j).eq.-1) then
v2m(iop1(j)) = v2p(iop1(j))
b2m(iop1(j)) = b2p(iop1(j))
endif
if (moib(j).eq.2) then
v2m(iop1(j)) = v2p(iop1(j))
b2m(iop1(j)) = b2p(iop1(j))
endif
if (moib(j).eq.4) then
v2m(iop1(j)) = v2m(ii (j))
b2m(iop1(j)) = b2m(ii (j))
endif
if (moib(j).eq.5) then
v2m(iop1(j)) = v2p(iop1(j))
b2m(iop1(j)) =-b2p(iop1(j))
endif
c
c solve MoC equations for starred quantities
c
do 40 i=ii(j),iop1(j)
sgn = sign(one,(b1(i,j)+b1(i,j-1)))
sdm = sqrt(0.5*(d(i ,j)+d(i ,j-1)))
sdp = sqrt(0.5*(d(i-1,j)+d(i-1,j-1)))
b2star(i,j) = sgn*(b2m(i)/sdm + b2p(i)/sdp) + (v2m(i)-v2p(i))
b2star(i,j) = sgn*b2star(i,j)/(1.0/sdp + 1.0/sdm)
v2star(i,j) = (v2m(i)+v2p(i)) + sgn*(b2m(i)/sdm-b2p(i)/sdp)
v2star(i,j) = 0.5*(v2star(i,j) +
& sgn*(1.0/sdp - 1.0/sdm)*b2star(i,j))
40 continue
100 continue
c
c Now do MoC calculation of v1* and b1*. Steps are the same as above
c Trap needed in RT at r=0
c
ilower = is
#ifdef RT
if (g2a(js) .eq. 0.0) ilower = is+1
#endif
do 200 i=ilower,ie+1
do 110 j=ji(i),jop1(i)
va(j) = 0.5*abs(b2(i,j)+b2(i-1,j))
& /sqrt(0.25*(d(i,j-1)+d(i-1,j-1)+d(i,j)+d(i-1,j)))
va(j) = max(va(j), tiny)
v0(j) = 0.5*(v2(i,j)+v2(i-1,j))-vg2(j)
vm(j) = v0(j) - va(j)
vp(j) = v0(j) + va(j)
110 continue
do 120 j=jim2(i),jop2(i)
tv(j) = v1(i,j)-vg1(i)
tb(j) = b1(i,j)
120 continue
call x2intzc(tv,vm,wj0,i,g2a,iords1,0,v1m)
call x2intzc(tb,vm,wj0,i,g2a,iordb1,0,b1m)
call x2intzc(tv,vp,wj0,i,g2a,iords1,0,v1p)
call x2intzc(tb,vp,wj0,i,g2a,iordb1,0,b1p)
c
if (mijb(i) .eq. 1 .or. mijb(i).eq.-1) then
v1p(ji (i)) = v1m(ji (i))
b1p(ji (i)) = b1m(ji (i))
endif
if (mijb(i) .eq. 2) then
v1p(ji (i)) = v1m(ji (i))
b1p(ji (i)) = b1m(ji (i))
endif
if (mijb(i) .eq. 4) then
v1p(ji (i)) = v1p(jop1(i))
b1p(ji (i)) = b1p(jop1(i))
endif
if (mijb(i) .eq. 5) then
v1p(ji (i)) = v1m(ji (i))
b1p(ji (i)) =-b1m(ji (i))
endif
c
if (mojb(i) .eq. 1 .or. mojb(i) .eq. -1) then
v1m(jop1(i)) = v1p(jop1(i))
b1m(jop1(i)) = b1p(jop1(i))
endif
if (mojb(i) .eq. 2) then
v1m(jop1(i)) = v1p(jop1(i))
b1m(jop1(i)) = b1p(jop1(i))
endif
if (mojb(i) .eq. 4) then
v1m(jop1(i)) = v1m(ji (i))
b1m(jop1(i)) = b1m(ji (i))
endif
if (mojb(i) .eq. 5) then
v1m(jop1(i)) = v1p(jop1(i))
b1m(jop1(i)) =-b1p(jop1(i))
endif
c
do 140 j=ji(i),jop1(i)
sgn = sign(one,(b2(i,j)+b2(i-1,j)))
sdm = sqrt(0.5*(d(i,j )+d(i-1,j )))
sdp = sqrt(0.5*(d(i,j-1)+d(i-1,j-1)))
b1star(j) = sgn*(b1m(j)/sdm + b1p(j)/sdp) + (v1m(j)-v1p(j))
b1star(j) = sgn*b1star(j)/(1.0/sdp + 1.0/sdm)
v1star(j) = (v1m(j)+v1p(j)) + sgn*(b1m(j)/sdm-b1p(j)/sdp)
v1star(j) = 0.5*(v1star(j) +
& sgn*(1.0/sdp - 1.0/sdm)*b1star(j))
140 continue
c
c Compute terms in emfs
c
do 150 j=ji(i),jop1(i)
term1(i,j) = v1star(j)*b2star(i,j)
term2(i,j) = b1star(j)*v2star(i,j)
150 continue
200 continue
#endif
return
end