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b.f
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c ************************ b ***************************
c this function calculates the components of the
c magnetic field bz,br,bphi,
c the absolute value of the total magnetic field bmod
c and the derivatives of bz,br,bphi,bmod by rz,r,phi
c It calculates the rho,rho2,a for the programms
c which use the density profile :dense,dxdr,dxdz
c
c It controls if the ray point is inside the plasma
c if the ray point is outside the plasma then the
c calculations will be finished
c ******************************************************
c
c------------------------------------------------------------------
c !
c input parameters !
c !
c z, r, phi - point which the components of magnetic field !
c are calculated in. !
c------------------------------------------------------------------
double precision function b(z,r,phi)
implicit none !double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
include 'six.i'
real*8 z,r,phi !INPUT
real*8 ias1r,ias2r_Sm ! external
cSm070324
real*8 thetapol, l_zr, l_z_b_r_b !local
real*8 epsbnd , x_l,y_l,theta_l, z_b,r_b !local
integer idx,ipx,ipx4,nx4,ny4
real*8 res,rrr,zm,zp,zzrm,zzrp,ffr,ffd,dffr,dres,zer,pp,pb,ppb
real*8 dpsidr,dpsidz,rhopsi,spol
real*8 dpdzr,dpdrr,dpdzz
real*8 bph1,dbph1dph,dbph1dz,dbph1dr,
+ bz1,dbz1dph,dbz1dz,dbz1dr,
+ br1,dbr1dph,dbr1dz,dbr1dr
integer ifirstc
data ifirstc/1/
save ifirstc
c--------------------------------------------------------------
c control that the point is inside the plasma
epsbnd=1.d-10
iboundb=-1
c-----------------------
c write(*,*)'b.f'
cSAP080817
c write(*,*)'b.f z,r,xma,yma',z,r,xma,yma
x_l=r-xma
y_l=z-yma
c write(*,*)'b.f x_l,y_l,theta_l', x_l,y_l,theta_l
if ((x_l**2+y_l**2).lt.1.d-10) then
goto 10
endif
c-----calculate poloidal angle thetapol
call theta_xy(x_l,y_l,theta_l) !0 =< theta_l < 2*pi
c write(*,*)'b.f x_l,y_l,theta_l', x_l,y_l,theta_l
c write(*,*)'b.f theta_l',theta_l
c-----calculate coordinates x_b,z_b at the limiter surface psi=psilim
c and the poloidal angle thetapol
c write(*,*)'in b.f before zr_psith(psilim,theta_l,z_b,r_b)'
c write(*,*)'in b.f psilim,theta_l',psilim,theta_l
call zr_psith(psilim,theta_l,z_b,r_b)
!write(*,*)'in b.f after zr_psith(psilim,theta_l,z_b,r_b)'
c write(*,*)'in b.f z_b,r_b',z_b,r_b
c write(*,*)'b.f r_b,z_b,fpsi(r_b,z_b),psilim',
c &r_b,z_b,fpsi(r_b,z_b),psilim
l_zr=dsqrt(x_l**2+y_l**2)
l_z_b_r_b=dsqrt((r_b-xma)**2+(z_b-yma)**2)
!write(*,*)'b.f l_zr,l_z_b_r_b',l_zr,l_z_b_r_b
if (l_zr.ge.l_z_b_r_b) then
rho = l_zr / l_z_b_r_b
c drhodzb=(z-yma)/(((r_b-xma)**2+(z_b-yma)**2)*rho)
iboundb=3
endif
c write(*,*)'b.f rho',rho
goto 10
c----------------------------------------------------
if ((r.le.rmin+epsbnd).or.(r.ge.rmax-epsbnd)) then
c write(*,*)'in b rmin+epsbnd,r,rmax-epsbnd',
c 1 rmin+epsbnd,r,rmax-epsbnd
iboundb=2
c delr=0.5d0*(rmax-rmin)
c if (r.le.rmin+epsbnd) rho=1.d0+(rmin-r+epsbnd)/delr
c if (r.ge.rmax-epsbnd) rho=1.d0+(r-rmax+epsbnd)/delr
cSm070324
c write(*,*)'b.f 2 rho',rho
theta_l=thetapol(z,r)
c write(*,*)'in b.f 2 before zr_psith(psilim,theta_l,z_b,r_b)'
c write(*,*)'in b.f psilim,theta_l',psilim,theta_l
call zr_psith(psilim,theta_l,z_b,r_b)
c write(*,*)'in b.f 2 before zr_psith(psilim,theta_l,z_b,r_b)'
c write(*,*)'in b.f z_b,r_b',z_b,r_b
rho=dsqrt(((r-xma)**2+(z-yma)**2)/((r_b-xma)**2+(z_b-yma)**2))
c write(*,*)'b.f rho',rho
goto 10
end if
c---------------- idx derivativs order 0.ge.idx.le.3---------------
rrr=r
idx=0
ipx=ip
ipx4=ip+4
zzrp=ias1r(trlimp,ipx,ipx4,cxlimp,idx,rrr)
zp=zzrp
ipx=im
ipx4=im+4
zzrm=ias1r(trlimm,ipx,ipx4,cxlimm,idx,rrr)
zm=zzrm
cSAP080816
if ((z.ge.zp-epsbnd).or.(z.le.zm+epsbnd)) then
c if ((z.gt.zp).or.(z.lt.zm)) then
c write(*,*)'in b rrr,zm,z,zp',rrr,zm,z,zp
c write(*,*)'in b zm+epsbnd,z,zp-epsbnd',
c 1 zm+epsbnd,z,zp-epsbnd
c delz=0.5d0*(zmax-zmin)
c if (z.ge.zp-epsbnd) then
c rho=1.d0+(z-zp+epsbnd)/delz
c drhodzb=1/delz
c else
c rho=1.d0+(zm-z+epsbnd)/delz
c drhodzb=-1/delz
c endif
iboundb=1
cSm070324
theta_l=thetapol(z,r)
call zr_psith(psilim,theta_l,z_b,r_b)
rho=dsqrt(((r-xma)**2+(z-yma)**2)/((r_b-xma)**2+(z_b-yma)**2))
drhodzb=(z-yma)/(((r_b-xma)**2+(z_b-yma)**2)*rho)
c write(*,*)'in b.f iboundb=1 z,r,z_b,r_b,rho',
c & z,r,z_b,r_b,rho
goto 10
end if
c---------------------------------------------------------------------
10 continue
c end of the control that the point is inside the plasma
c--------------------------------------------------------------
c
c nx4a , ny4a and nrya are given in common five as parameters
c nxeqda,nyeqda,nlimit are given in common four as parameters
c
cSm_030224
c ncx=nx4
c ncy=ny4
c res=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,0,0,r,z)
c dpsidr=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,1,0,r,z)
c dpsidz=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,0,1,r,z)
nx4=nx+4
ny4=ny+4
ncx=nx4
ncy=ny4
res=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,0,0,r,z,nx4a)
dpsidr=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,1,0,r,z,nx4a)
dpsidz=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,0,1,r,z,nx4a)
c--------------------------------------------------------------------
c idx derivativs order 0.ge.idx.le.3
c--------------------------------------------------------------------
nx4=nx+4
if (iboundb.ge.1) then
c the point is outside the plasma
idx=0
ffr=ias1r(txf,nx,nx4,cx,idx,psilim)
ffd=ffr
dffr=0.d0
dres=dffr
else
c the point is inside the plasma
idx=0
ffr=ias1r(txf,nx,nx4,cx,idx,res)
ffd=ffr
idx=1
dffr=ias1r(txf,nx,nx4,cx,idx,res)
dres=dffr
endif
psid=res
dpdzd=dpsidz
dpdrd=dpsidr
c------------------------------------------------------------------
c this part of the programm calculates the rho,rho2 and a
c for the functions dense,dxdr,dxdz
a=1.d0
if (iboundb.eq.-1) rho=rhopsi(res)
c write(*,*)'in b.f: r,z,iboundb,psi,rho', r,z,iboundb,res,rho
zer=0.d0
rho2=rho*rho
c------------------------------------------------------------------
c \vector{B}=B_phi+\vector{B_pol}
c B_phi=(Feqd(psi)/R)\hat{phi}
c \vector{B_pol}=(1/R)*grad(psi) x \hat{phi}
c here x is the vector product
c then B_z=(1/R)*dpsi/dr and B_r=-(1/R)*dpsi/dz (*).
c If the total current is not given, then the sign of the B_pol
c determined fro psi, using the previous formula (*).
c If the current 'toteqd'is given, then the sign of it will indicate
c the direction of B_pol, regardless of the convention for psi(R,Z)
c toteqd is positive if it is directed along \hat{phi}.
c-------------------------------------------------------------------
c The poloidal flux array peqd(i,j) was transformed in equilib.f
c in subroutine input. It was multiplied by dpsimax.
c If (psimag.gt.psilim) then dpsimax=-1.d0 else dpsimax=1.d0
c So after this multiplication poloidal flux peqd(i,j)
c always has the minimum on tme magnetic axis.
c-------------------------------------------------------------------
pp=1.d0/r
bz=-dpdrd*pp
br=dpdzd*pp
bphi=ffd*pp
if(toteqd.ge.0.d0) spol=-1.d0
if(toteqd.lt.0.d0) spol=1.d0
spol=-spol
if(toteqd.eq.0.d0) then
if (ifirstc.eq.1) then
write(*,*)'current is not given in eqdsk (toteqd=0)'
ifirstc=0
endif
c The total current is not given. The sign of the B_pol will be
c determined from psi, using the original poloidal flux from eqdsk.
c In this case the poloidal flux had max on the magnetic axis
c (and dpsimax=-1d0), or it had min (and dpsimax=1.d0).
spol=dpsimax
endif
bz=bz*spol
br=br*spol
cSm030224
c dpdzr=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,1,1,r,z)
c dpdrr=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,2,0,r,z)
c dpdzz=ias2r(tx,nx,ty,ny,cxy,ncx,ncy,0,2,r,z)
dpdzr=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,1,1,r,z,nx4a)
dpdrr=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,2,0,r,z,nx4a)
dpdzz=ias2r_Sm(tx,nx,ty,ny,cxy,ncx,ncy,0,2,r,z,nx4a)
!(tx,nx,ty,ny,cxy,ncx,ncy,idx,idy,xx,yy,nx4a)
!In func: tx(*), ty(*), cxy(nx4a,*)
! in five.i: tx(nx4a),ty(ny4a),cxy(nx4a,ny4a)
! nx4a=nxeqda+4, ny4a=nyeqda+4
dpdzrd=dpdzr
dpdrrd=dpdrr
dpdzzd=dpdzz
c------------------------------------------------------------------
dbzdz=-pp*dpdzrd
dbzdr=pp*pp*dpdrd-pp*dpdrrd
dbrdz=pp*dpdzzd
dbrdr=-pp*pp*dpdzd+pp*dpdzrd
dbzdz=dbzdz*spol
dbzdr=dbzdr*spol
dbrdz=dbrdz*spol
dbrdr=dbrdr*spol
dbzdph=0.d0
dbrdph=0.d0
dbpdph=0.d0
dbphdz=pp*dres*dpdzd
dbphdr=-pp*bphi+pp*dres*dpdrd
c--------------------------------------------------------------------
c deltripl=0.00d0
if(deltripl.gt.0.d0)then ! YuP[2020-08-19] Added: skip these two subr.
! when not needed (saves cpu time)
if (i_ripple.eq.1)then
!-------- the ripple model approximating the DIII-D field
call briplmd4(z,r,phi,
+ bph1,dbph1dph,dbph1dz,dbph1dr,
+ bz1,dbz1dph,dbz1dz,dbz1dr,
+ br1,dbr1dph,dbr1dz,dbr1dr)
endif
if (i_ripple.eq.2)then
!--------the ripple model using modified Bessel function I_0
! see the GENRAY description
call briplmd5(z,r,phi,
+ bph1,dbph1dph,dbph1dz,dbph1dr,
+ bz1,dbz1dph,dbz1dz,dbz1dr,
+ br1,dbr1dph,dbr1dz,dbr1dr)
endif
bz=bz+bz1
br=br+br1
bphi=bphi+bph1
dbzdz=dbzdz+dbz1dz
dbzdr=dbzdr+dbz1dr
dbzdph=dbzdph+dbz1dph
dbrdz=dbrdz+dbr1dz
dbrdr=dbrdr+dbr1dr
dbrdph=dbrdph+dbr1dph
dbpdph=dbpdph+dbph1dph
dbphdz=dbphdz+dbph1dz
dbphdr=dbphdr+dbph1dr
endif !(deltripl.gt.0.d0)then ! YuP[2020-08-19]
c-----------------------------------------------------------------
c calculation of the model stellarator W7 magnetic field
c bmagloc=2.3d0 !Tl
c call bstelw7(z,r,bmagloc,
c 1bphi,dbpdph,dbphdz,dbphdr,
c 2bz,dbzdph,dbzdz,dbzdr,
c 3br,dbrdph,dbrdz,dbrdr)
c-----------------------------------------------------------------
c------------------------------------------------------------------
pb=dsqrt(bphi*bphi+bz*bz+br*br)
c------------------------------------------------------------------
ppb=1.d0/pb
dbmdz=ppb*(bz*dbzdz+br*dbrdz+bphi*dbphdz)
dbmdr=ppb*(bz*dbzdr+br*dbrdr+bphi*dbphdr)
dbmdph=ppb*(bz*dbzdph+br*dbrdph+bphi*dbpdph)
c---------------------------------------------------------------------
b=pb
c write(*,*)'in b: z,r,phi,bz,br,bphi,rho,b',
c & z,r,phi,bz,br,bphi,rho,b
return
end function b
c*************************briplmod*********************************
c F=sin(N_loop*phi)*g(r,z) - is a vacume ripple field potential *
c bripl_phi(z,r,phi)=(dF/dphi)/r=cos(N_loop*phi)*g(r,z)*N_loop/r *
c bripl_z(z,r,phi) =(dF/dz) =sin(N_loop*phi)*(dg/dz) *
c bripl_r(z,r,phi) =(dF/dr) =sin(N_loop*phi)*(dg/dr) *
c model for function g: *
c g_model=beqd*deltripl*exp(N*((rho(r,z)-1))) *
c N is a number of the toroidal field coils *
c------------------------------------------------------------------
c input parameters !
c z, r, phi - point which the components of magnetic field !
c are calculated in. !
c nloop a number of the toroidal field coils (in one.i) !
c deltripl is an amplitude of the ripple field at the !
c last flux surface (at rho=1)(in one.i) !
c bmag - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the ripple magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine briplmod(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
cc write(*,*)'in briplmod'
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
cc write(*,*)'cosphi,sinphi',cosphi,sinphi
c------------------------------------------------------------------
g=beqd*deltripl*dexp((rho-1.d0)*rnloop)
dgdrho=g*rnloop
dgdrhrh=dgdrho*rnloop
cc write(*,*)'beqd,deltripl,rho,rnloop',beqd,deltripl,rho,rnloop
cc write(*,*)'g,dgdrho,dgdrhrh',g,dgdrho,dgdrhrh
c ?? drhodz, drhodr
psi=psid
dro_dpsi=drhopsi(psi)
drhodz=dro_dpsi*dpdzd
drhodr=dro_dpsi*dpdrd
cc write(*,*)'psi,dpdzd,dpdrd',psi,dpdzd,dpdrd
cc write(*,*)'dro_dpsi,drhodz,drhodr',dro_dpsi,drhodz,drhodr
c ?? drhodzdz, drhodrdr,drhodzdr
dropsps=drhpsps(psi)
drhodzdz=dropsps*dpdzd*dpdzd+dro_dpsi*dpdzzd
drhodrdr=dropsps*dpdrd*dpdrd+dro_dpsi*dpdrrd
drhodzdr=dropsps*dpdzd*dpdrd+dro_dpsi*dpdzrd
dgdz=dgdrho*drhodz
dgdr=dgdrho*drhodr
dgdzdz=dgdrhrh*drhodz*drhodz+dgdrho*drhodzdz
dgdrdr=dgdrhrh*drhodr*drhodr+dgdrho*drhodrdr
dgdzdr=dgdrhrh*drhodz*drhodr+dgdrho*drhodzdr
c------------------------------------------------------------------
bz1=sinphi*dgdz
br1=sinphi*dgdr
bph1=cosphi*g*rnloop/r
cc write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c------------------------------------------------------------------
dbz1dz=sinphi*dgdzdz
dbz1dr=sinphi*dgdzdr
dbz1dph=cosphi*rnloop*dgdz
cc write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=sinphi*dgdzdr
dbr1dr=sinphi*dgdrdr
dbr1dph=cosphi*rnloop*dgdr
cc write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=cosphi*rnloop*dgdz/r
dbph1dr=cosphi*rnloop*(dgdr/r-g/(r*r))
dbph1dph=-sinphi*rnloop*g/r
cc write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
subroutine briplmd1(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
cc write(*,*)'in briplmod1'
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
cc write(*,*)'cosphi,sinphi',cosphi,sinphi
c------------------------------------------------------------------
sinr=dsin(r-xma)
cosr=dcos(r-xma)
sinz=dsin(z)
cosz=dcos(z)
g=beqd*deltripl*sinr*sinz
c------------------------------------------------------------------
bz1=g*sinphi*rnloop
br1=g*sinphi*0.9d0*rnloop
bph1=cosphi*g
cc write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c------------------------------------------------------------------
dbz1dz=beqd*deltripl*sinr*cosz*sinphi*rnloop
dbz1dr=beqd*deltripl*cosr*sinz*sinphi*rnloop
dbz1dph=g*cosphi*rnloop*rnloop
cc write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=0.9*beqd*deltripl*sinr*cosz*sinphi*rnloop
dbr1dr=0.9*beqd*deltripl*cosr*sinz*sinphi*rnloop
dbr1dph=0.9*g*cosphi*rnloop*rnloop
cc write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=beqd*deltripl*sinr*cosz*cosphi
dbph1dr=beqd*deltripl*cosr*sinz*cosphi
dbph1dph=-sinphi*g*rnloop
cc write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c*************************briplmd2********************************
c F=sin(N_loop*phi)*g(r,z) - is a vacume ripple field potential *
c bripl_phi(z,r,phi)=(dF/dphi)/r=cos(N_loop*phi)*g(r,z)*N_loop/r *
c bripl_z(z,r,phi) =(dF/dz) =sin(N_loop*phi)*(dg/dz) *
c bripl_r(z,r,phi) =(dF/dr) =sin(N_loop*phi)*(dg/dr) *
c model for function g: *
c g_model=beqd*reqd*p1*(1+(N*rho(r,z)/2)**2)
c p1=deltripl/(1+0.25*N**2)/N
c N is a number of the toroidal field coils *
c------------------------------------------------------------------
c input parameters !
c z, r, phi - point where the components of magnetic field !
c are calculated in. !
c nloop is number of toroidal field coils(in one.i) !
c deltripl is an amplitude of the ripple field at the !
c last flux surface (at rho=1)(in one.i) !
c bmag - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the ripple magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine briplmd2(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
cc write(*,*)'in briplmod2'
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
cc write(*,*)'cosphi,sinphi',cosphi,sinphi
c------------------------------------------------------------------
c g_model=beqd*p1*(1+(N*(rho(r,z)/2)**2)
p1=deltripl/(1.d0+0.25d0*rnloop*rnloop)/rnloop
p=rnloop*rho*0.5d0
p2=p*p
g=beqd*reqd*p1*(1.d0+p2)
dgdrho=beqd*reqd*p1*0.5d0*rnloop*rnloop*rho
dgdrhrh=beqd*reqd*p1*0.5d0*rnloop*rnloop
cc write(*,*)'beqd,deltripl,rho,rnloop',beqd,deltripl,rho,rnloop
cc write(*,*)'g,dgdrho,dgdrhrh',g,dgdrho,dgdrhrh
psi=psid
dro_dpsi=drhopsi(psi)
drhodz=dro_dpsi*dpdzd
drhodr=dro_dpsi*dpdrd
cc write(*,*)'psi,dpdzd,dpdrd',psi,dpdzd,dpdrd
cc write(*,*)'dro_dpsi,drhodz,drhodr',dro_dpsi,drhodz,drhodr
dropsps=drhpsps(psi)
drhodzdz=dropsps*dpdzd*dpdzd+dro_dpsi*dpdzzd
drhodrdr=dropsps*dpdrd*dpdrd+dro_dpsi*dpdrrd
drhodzdr=dropsps*dpdzd*dpdrd+dro_dpsi*dpdzrd
dgdz=dgdrho*drhodz
dgdr=dgdrho*drhodr
dgdzdz=dgdrhrh*drhodz*drhodz+dgdrho*drhodzdz
dgdrdr=dgdrhrh*drhodr*drhodr+dgdrho*drhodrdr
dgdzdr=dgdrhrh*drhodz*drhodr+dgdrho*drhodzdr
c------------------------------------------------------------------
bz1=sinphi*dgdz
br1=sinphi*dgdr
bph1=cosphi*g*rnloop/r
cc bz1=0.d0
cc br1=0.d0
cc write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c test
cc ppp=beqd*reqd/r
cc write(*,*)'test r,rho,phi,bphi,bph1/bphi',r,rho,phi,ppp,bph1/ppp
c------------------------------------------------------------------
dbz1dz=sinphi*dgdzdz
dbz1dr=sinphi*dgdzdr
dbz1dph=cosphi*rnloop*dgdz
cc dbz1dz=0.d0
cc dbz1dr=0.d0
cc dbz1dph=0.d0
cc write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=sinphi*dgdzdr
dbr1dr=sinphi*dgdrdr
dbr1dph=cosphi*rnloop*dgdr
cc dbr1dz=0.d0
cc dbr1dr=0.d0
cc dbr1dph=0.d0
cc write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=cosphi*rnloop*dgdz/r
dbph1dr=cosphi*rnloop*(dgdr/r-g/(r*r))
dbph1dph=-sinphi*rnloop*rnloop*g/r
cc write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c*************************briplmd3********************************
c only for irho=4,rho=sqrt((psi-psimag)/(psilim-psimag))
c F=sin(N_loop*phi)*g(r,z) - is a vacume ripple field potential *
c bripl_phi(z,r,phi)=(dF/dphi)/r=cos(N_loop*phi)*g(r,z)*N_loop/r *
c bripl_z(z,r,phi) =(dF/dz) =sin(N_loop*phi)*(dg/dz) *
c bripl_r(z,r,phi) =(dF/dr) =sin(N_loop*phi)*(dg/dr) *
c model for function g: *
c g_model=beqd*p1*(1+(N*(rho(r,z)/2))**2) *
c p1=deltripl/(1+0.25*N**2) *
c N is a number of the toroidal field coils *
c bripl_phi=cos(N_loop*phi)*N_loop/r*{beqd*p1* *
c {1+0.25*N*N(psi-psimag)/(psilim-psimag)}} *
c bripl_z=sin(N_loop*phi)*{beqd*p1*0.25*N*N/(psilim-psimag)*dpdzd}*
c bripl_r=sin(N_loop*phi)*{beqd*p1*0.25*N*N/(psilim-psimag)*dpdrd}*
c------------------------------------------------------------------
c input parameters !
c z, r, phi - point which the components of magnetic field !
c are calculated in. !
c nloop is number of toroidal field coils (in one.i) !
c deltripl is an amplitude of the ripple field at the !
c last flux surface (at rho=1) (in one.i) !
c bmag - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the ripple magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine briplmd3(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
cc write(*,*)'in briplmod'
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
cc write(*,*)'cosphi,sinphi',cosphi,sinphi
c------------------------------------------------------------------
p1=deltripl/(1.d0+0.25d0*rnloop*rnloop)
c------------------------------------------------------------------
bz1=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*dpdzd
br1=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*dpdrd
bph1=cosphi*rnloop/r*beqd*p1*
1 (1.d0+0.25d0*rnloop*rnloop*(psid-psimag)/(psilim-psimag))
cc write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c------------------------------------------------------------------
dbz1dz=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*
1 dpdzzd
dbz1dr=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*
1 dpdzrd
dbz1dph=cosphi*rnloop*
1beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*dpdzd
cc write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*
1 dpdzrd
dbr1dr=sinphi*beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*
1 dpdrrd
dbr1dph=cosphi*rnloop*
1beqd*p1*0.25d0*rnloop*rnloop/(psilim-psimag)*dpdrd
cc write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=cosphi*rnloop/r*beqd*p1*
1 0.25d0*rnloop*rnloop/(psilim-psimag)*dpdzd
dbph1dr=cosphi*rnloop*beqd*p1*(
1 0.25d0*rnloop*rnloop/(psilim-psimag)*dpdrd/r-
1(1.d0+0.25d0*rnloop*rnloop*(psid-psimag)/(psilim-psimag))/(r*r))
dbph1dph=-sinphi*rnloop*rnloop/r*beqd*p1*
1 (1.d0+0.25d0*rnloop*rnloop*(psid-psimag)/(psilim-psimag))
cc write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c*************************briplmd4********************************
c F=sin(N_loop*phi)*g(r,z) - is a vacume ripple field potential *
c bripl_phi(z,r,phi)=(dF/dphi)/r=cos(N_loop*phi)*g(r,z)*N_loop/r *
c bripl_z(z,r,phi) =(dF/dz) =sin(N_loop*phi)*(dg/dz) *
c bripl_r(z,r,phi) =(dF/dr) =sin(N_loop*phi)*(dg/dr) *
c model for function g: *
c g_model=beqd*reqd*p1*(r/rmax)**N *
c p1=deltripl/N *
c N is a number of the toroidal field coils *
c rmax - the major radius of the outboard side of plasma *
c------------------------------------------------------------------
c input parameters !
c z, r, phi - point where the components of magnetic field !
c are calculated in. !
c nloop is number of toroidal field coils(in one.i) !
c deltripl is an amplitude of the ripple field at the !
c last flux surface (at rho=1) (in one.i) !
c bmag - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the ripple magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine briplmd4(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
c write(*,*)'in briplmod4 deltripl,nloop',deltripl,nloop
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
c------------------------------------------------------------------
c g_model=beqd*reqd*p1*(r/rmax)**N
c p1=deltripl/N
p1=deltripl/rnloop
g=beqd*reqd*p1*(r/rmax)**nloop
dgdr=g*(rnloop)/r
dgdz=0.d0
dgdrdr=dgdr*(rnloop-1.d0)/r
dgdzdz=0.0d0
dgdzdr=0.0d0
c------------------------------------------------------------------
bz1=sinphi*dgdz
br1=sinphi*dgdr
bph1=cosphi*g*rnloop/r
c------------------------------------------------------------------
dbz1dz=sinphi*dgdzdz
dbz1dr=sinphi*dgdzdr
dbz1dph=cosphi*rnloop*dgdz
cc dbz1dz=0.d0
cc dbz1dr=0.d0
cc dbz1dph=0.d0
c write(*,*)'briplmod4,dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=sinphi*dgdzdr
dbr1dr=sinphi*dgdrdr
dbr1dph=cosphi*rnloop*dgdr
cc dbr1dz=0.d0
cc dbr1dr=0.d0
cc dbr1dph=0.d0
c write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=cosphi*rnloop*dgdz/r
dbph1dr=cosphi*rnloop*(dgdr/r-g/(r*r))
dbph1dph=-sinphi*rnloop*rnloop*g/r
c write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c*************************briplmd5********************************
c F=sin(N_loop*phi)*g(r,z) - is a vacume ripple field potential *
c bripl_phi(z,r,phi)=(dF/dphi)/r=cos(N_loop*phi)*g(r,z)*N_loop/r *
c bripl_z(z,r,phi) =(dF/dz) =sin(N_loop*phi)*(dg/dz) *
c bripl_r(z,r,phi) =(dF/dr) =sin(N_loop*phi)*(dg/dr) *
c model for function g: *
c g_model=beqd*reqd*p1*I_0(N_loop*rho(z,r)) *
c p1=deltripl/(n_loop*I_0(n_loop)) *
c N is a number of the toroidal field coils *
c I_0 is the zero order modifed Bessel function *
c------------------------------------------------------------------
c input parameters !
c z, r, phi - point where the components of magnetic field !
c are calculated in. !
c nloop is number of toroidal field coils(in one.i) !
c deltripl is an amplitude of the ripple field at the !
c last flux surface (at rho=1)(in one.i) !
c bmag - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the ripple magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine briplmd5(z,r,phi,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
real bslr,bsli,rarg,rarg1
dimension bslr(3),bsli(3)
cc write(*,*)'in briplmod5'
rnloop=dfloat(nloop)
cosphi=dcos(phi*rnloop)
sinphi=dsin(phi*rnloop)
cc write(*,*)'cosphi,sinphi',cosphi,sinphi
c------------------------------------------------------------------
c g_model=beqd*reqd*p1*I_0(N*rho(r,z))
c izi=1 to calculate modified Bessel functions
c BESSEL FUNCTIONS AND ARGUMENTS ARE REAL
rarg1=rnloop
ize=1
nb=1
call beslci(rarg1,0.,nb,ize,bslr,bsli,ncalc)
c write(*,*)'rarg1,bslr(1),bslr(2),bslr(3)',
c 1 rarg1,bslr(1),bslr(2),bslr(3)
cI_0=bslr(1)
cI_0edg=cI_0
c write(*,*)'cI_0,cI_0edg',cI_0,cI_0edg
p1=deltripl/(rnloop*cI_0)
c write(*,*)'p1',p1
c write(*,*)'in briplmd5 phi,z,r,rho',phi,z,r,rho
rarg=rnloop*rho
nb=3
call beslci(rarg,0.,nb,ize,bslr,bsli,ncalc)
c write(*,*)'rarg,bslr(1),bslr(2),bslr(3)',
c 1 rarg,bslr(1),bslr(2),bslr(3)
cI_0=bslr(1) ! modifed bessel function 0 order
cI_1=bslr(2) ! modifed bessel function 1 order
cI_2=bslr(3) ! modifed bessel function 2 order
delcI_0=cI_0/cI_0edg
c write(*,*)'rarg1,rarg',rarg1,rarg
c write(*,*)'cI_0edg,cI_0',cI_0edg,cI_0,'delcI_0',delcI_0
g=beqd*reqd*p1*cI_0
dgdrho=beqd*reqd*p1*cI_1*rnloop
dgdrhrh=beqd*reqd*p1*0.5d0*(cI_0+cI_2)*rnloop*rnloop
cc write(*,*)'beqd,deltripl,rho,rnloop',beqd,deltripl,rho,rnloop
cc write(*,*)'g,dgdrho,dgdrhrh',g,dgdrho,dgdrhrh
psi=psid
dro_dpsi=drhopsi(psi)
drhodz=dro_dpsi*dpdzd
drhodr=dro_dpsi*dpdrd
cc write(*,*)'psi,dpdzd,dpdrd',psi,dpdzd,dpdrd
cc write(*,*)'dro_dpsi,drhodz,drhodr',dro_dpsi,drhodz,drhodr
dropsps=drhpsps(psi)
drhodzdz=dropsps*dpdzd*dpdzd+dro_dpsi*dpdzzd
drhodrdr=dropsps*dpdrd*dpdrd+dro_dpsi*dpdrrd
drhodzdr=dropsps*dpdzd*dpdrd+dro_dpsi*dpdzrd
dgdz=dgdrho*drhodz
dgdr=dgdrho*drhodr
dgdzdz=dgdrhrh*drhodz*drhodz+dgdrho*drhodzdz
dgdrdr=dgdrhrh*drhodr*drhodr+dgdrho*drhodrdr
dgdzdr=dgdrhrh*drhodz*drhodr+dgdrho*drhodzdr
c------------------------------------------------------------------
bz1=sinphi*dgdz
br1=sinphi*dgdr
bph1=cosphi*g*rnloop/r
cc bz1=0.d0
cc br1=0.d0
c write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c write(*,*)'cosphi,g,bph1',cosphi,g,bph1
ppp=beqd*reqd/r
c write(*,*)'beqd*reqd/r',ppp,'bph1/bphi',bph1/ppp
c write(*,*)'cosphi,deltripl,delcI_0',cosphi,deltripl,delcI_0
c write(*,*)'delta test=',cosphi*deltripl*delcI_0
c------------------------------------------------------------------
dbz1dz=sinphi*dgdzdz
dbz1dr=sinphi*dgdzdr
dbz1dph=cosphi*rnloop*dgdz
cc dbz1dz=0.d0
cc dbz1dr=0.d0
cc dbz1dph=0.d0
c write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=sinphi*dgdzdr
dbr1dr=sinphi*dgdrdr
dbr1dph=cosphi*rnloop*dgdr
cc dbr1dz=0.d0
cc dbr1dr=0.d0
cc dbr1dph=0.d0
c write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=cosphi*rnloop*dgdz/r
dbph1dr=cosphi*rnloop*(dgdr/r-g/(r*r))
dbph1dph=-sinphi*rnloop*rnloop*g/r
c write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c*************************bstelw7********************************
c calculates the model magnetic field for Stellarator W7-AS
cc------------------------------------------------------------------
c input parameters !
c z, r, - point where the components of magnetic field !
c are calculated in. !
c bmagloc - is a magnetic field on the magnetic axis (Tl) !
c------------------------------------------------------------------
c output parameters: |
c components of the stellarator magnetic field, and their |
c derivatives |
c bph1,dbph1dph,dbph1dz,dbph1dr -toroidal (phi) components|
c bz1,dbz1dph,dbz1dz,dbz1dr -Z components|
c br1,dbr1dph,dbr1dz,dbr1dr -R components|
c------------------------------------------------------------------
subroutine bstelw7(z,r,bmagloc,
1bph1,dbph1dph,dbph1dz,dbph1dr,
2bz1,dbz1dph,dbz1dz,dbz1dr,
3br1,dbr1dph,dbr1dz,dbr1dr)
implicit double precision (a-h,o-z)
include 'param.i'
c include 'one.i'
include 'three.i'
include 'five.i'
c-----input
double precision z,r,bmagloc
c-----output
double precision bph1,dbph1dph,dbph1dz,dbph1dr,
2 bz1,dbz1dph,dbz1dz,dbz1dr,
3 br1,dbr1dph,dbr1dz,dbr1dr
c-----local
double precision abig,asmall,reff
c write(*,*)'in bstelw7'
abig=10.5 d0
asmall=rmax-xma
reff=(r-xma)
c write(*,*)'in bstelw7 z,r',z,r
c write(*,*)'in bstelw7 asmal,reff',asmall,reff
bz1=0.d0
br1=0.d0
bph1=bmagloc*abig/(abig+reff/asmall)
c write(*,*)'bz1,br1,bph1',bz1,br1,bph1
c------------------------------------------------------------------
dbz1dz=0.d0
dbz1dr=0.d0
dbz1dph=0.d0
c write(*,*)'dbz1dz,dbz1dr,dbz1dph',dbz1dz,dbz1dr,dbz1dph
dbr1dz=0.d0
dbr1dr=0.d0
dbr1dph=0.d0
c write(*,*)'dbr1dz,dbr1dr,dbr1dph',dbr1dz,dbr1dr,dbr1dph
dbph1dz=0.d0
dbph1dr=-bph1/(abig+reff/asmall)/asmall
dbph1dph=0.d0
c write(*,*)'dbph1dz,dbph1dr,dbph1dph',dbph1dz,dbph1dr,dbph1dph
return
end
c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c ************************ b ***************************
c this function calculates the components of the
c magnetic field bz,br,bphi,
c the absolute value of the total magnetic field bmod
c and the derivatives of bz,br,bphi,bmod by rz,r,phi
c It calculates the rho,rho2,a for the programms
c which use the density profile :dense,dxdr,dxdz
c
c It controls if the ray point is inside the plasma
c if the ray point is outside the plasma then the
c calculations will be finished
c It uses spline functions from zcuinx coeff2 coeff1
c terp2p, terp1
c ******************************************************
c
c------------------------------------------------------------------
c !
c input parameters !
c !
c z, r, phi - point which the components of magnetic field !
c are calculated in. !
c------------------------------------------------------------------
real*8
&function b1test(z,r,phi) !YuP[2020-08-20] renamed, to avoid conflict with arrays
implicit none
!implicit double precision (a-h,o-z)
include 'param.i'
include 'one.i'
include 'three.i'
include 'five.i'
include 'six.i'
include 'fourb.i'
c-----input
real*8 z,r,phi !sapce coordinates
c-----external
real*8
1 ias1r,ias2r_Sm
c-----locals
cSm030120
logical first
real*8 f_pp(nxeqda),tab(3),wrk_f(3*nxeqda+1)
integer iop(2),itab(3),ibd(4),idm
c-------------------------------------------------------
cSAP090328
integer nx4,ny4,idx,ipx4,ipx,ifirstc
real*8
&bph1,dbph1dph,dbph1dz,dbph1dr,
&bz1,dbz1dph,dbz1dz,dbz1dr,
&br1,dbr1dph,dbr1dz,dbr1dr,
&ffd,ffr,dffr,dres,dpdzr,dpdrr,dpsidz,dpsidr,dpdzz,
&epsbnd,l_zr,l_z_b_r_b,x_l,y_l,theta_l,z_b,r_b,