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MRI.f90
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MRI.f90
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!! For Cylindrical coordinates only
!! Ref: CANS md_mricyl
subroutine MRI
use parameters,only:pi
use globalvar,only:ix,jx,kx,U_h,U_m,flag_bnd,beta,flag_b_stg,dtout,&
flag_mhd,flag_mpi,my_rank,flag_pip,gm,beta,tend,&
x,y,z,dx,dy,dz,n_fraction,gra,flag_grav,scl_height,margin, &
flag_cyl
use scheme_rot,only:pv2cq_mhd,pv2cq_hd
use model_rot, only:set_coordinate,setcq
implicit none
double precision :: ro_h(1:ix,1:jx,1:kx),ro_m(1:ix,1:jx,1:kx)
double precision :: vx_h(1:ix,1:jx,1:kx),vx_m(1:ix,1:jx,1:kx)
double precision :: vy_h(1:ix,1:jx,1:kx),vy_m(1:ix,1:jx,1:kx)
double precision :: vz_h(1:ix,1:jx,1:kx),vz_m(1:ix,1:jx,1:kx)
double precision :: P_h (1:ix,1:jx,1:kx),P_m (1:ix,1:jx,1:kx)
double precision :: B_x (1:ix,1:jx,1:kx)
double precision :: B_y (1:ix,1:jx,1:kx)
double precision :: B_z (1:ix,1:jx,1:kx)
double precision f_n,f_p,f_p_n,f_p_p,start(3),end(3)
double precision :: sseps = 0.2d0, aa = 0.d0, npol = 3.d0, &
eth = 0.05d0, emg = 2.d-3, tec0 = 1.d0, roc0 = 1.d-3, &
amp = 0.05d0, rlambda = 3.d0/4.d0
double precision :: gpot(ix,jx,kx),gra0(ix,jx,kx)
double precision :: ro_disk(ix,jx,kx),pr_disk(ix,jx,kx),vz_disk(ix,jx,kx)
double precision :: ro_corona(ix,jx,kx),pr_corona(ix,jx,kx)
double precision :: ro_tot(ix,jx,kx),p_tot(ix,jx,kx)
double precision :: ss,coef,b0
double precision :: psi0,te
integer :: i,j,ibnd
if(flag_cyl.ne.1) then
if(my_rank.eq.0) then
print*,'Cylindrical coordinates should be used: STOP'
STOP
endif
endif
!set ionization fraction-----------------
if(flag_pip.eq.0) then
f_n=1.0d0
f_p=1.0d0
f_p_n=1.0d0
f_p_p=1.0d0
else
f_n=n_fraction
f_p=1.0d0-n_fraction
f_p_n=f_n/(f_n+2.0d0*f_p)
f_p_p=2.0d0*f_p/(f_n+2.0d0*f_p)
endif
!----------------------------------------
!Set coordinate (uniform grid)--------------------------
!!set lower and upper coordinate
start(1)=0.0d0 ;end(1)=3.0d0
start(2)=0.0d0 ;end(2)=3.0d0
start(3)=-1.0d0 ;end(3)=1.0d0
call set_coordinate(start,end)
!---------------------------------------
!!default boundary condition----------------------
if (flag_bnd(1) .eq.-1) flag_bnd(1)=5 !! symmetric
if (flag_bnd(2) .eq.-1) flag_bnd(2)=10 !! free
if (flag_bnd(3) .eq.-1) flag_bnd(3)=1 !! periodic
if (flag_bnd(4) .eq.-1) flag_bnd(4)=1 !! periodic
if (flag_bnd(5) .eq.-1) flag_bnd(5)=1
if (flag_bnd(6) .eq.-1) flag_bnd(6)=1
!-------------------------------------------------
!!!========================================================
if(flag_grav.eq.0) then
print*,'=== flag_grav should be 1 ==='
stop
endif
gpot(:,:,:) = 0.d0
do i=1,ix
! ss = x(i)
ss = abs(x(i))
if(ss.gt.sseps) then
gpot(i,:,:) = -1.d0/ss
else
if(ss.gt.0.5d0*sseps) then
gpot(i,:,:) = - (1.d0/sseps - (ss-sseps)/sseps**2)
else
gpot(i,:,:) = - 1.5d0/sseps
endif
endif
enddo
gra(:,:,:,:)=0.0d0
do i=2,ix-1
gra0(i,:,:) = - (gpot(i+1,:,:)-gpot(i-1,:,:))/(2.d0*dx(i))
enddo
gra(:,:,:,1) = gra0
!! BC for gra
if(minval(x).lt.0.d0) then
ibnd = 1 + margin(1)
do i=1,margin(1)
gra(ibnd-i,:,:,1) = -gra(ibnd-1+i,:,:,1)
enddo
endif
!! Disk
! coef = 1.d0/(npol+1.d0)/eth
! do j=1,jx
! do i=1,ix
! ro_disk(i,j,:) = ( coef*( -(1.d0+gpot(i,j,:)) &
! + 1.d0/(2.d0*(1.d0-aa))*(1.d0-x(i)**(2.d0*aa-2.d0) )) + 1.d0 )**npol
! vz_disk(i,j,:) = x(i)**(aa-1.d0)
! enddo
! enddo
! where(ro_disk.lt.0.d0) vz_disk = 0.d0 !! non-rotating corona
! where(ro_disk.lt.0.d0) ro_disk = 0.d0
! where(ro_disk.gt.0.d0) pr_disk = eth * ro_disk**(1.d0+1.d0/npol)
psi0 = -1.d0 + 1.d0/2.d0/(1.d0-aa) + (npol+1.d0)*eth
ro_disk = 0.d0; pr_disk = 0.d0; vz_disk = 0.d0 !! initialization
do j=1,jx
do i=1,ix
ss = x(i)
if(x(i).gt.sseps) then
te = (psi0+1.d0/ss-1.d0/2.d0/(1.d0-aa)*ss**(2.d0*aa-2.d0))/(npol+1.d0)*gm
if(te.gt.0.d0) then
ro_disk(i,j,:) = (te/gm/eth)**npol
pr_disk(i,j,:) = te * ro_disk(i,j,:) / gm
vz_disk(i,j,:) = ss**(aa-1.d0)
endif
endif
enddo
enddo
!! Corona
ro_corona(:,:,:) = roc0*exp(-gm/tec0*(gpot(:,:,:)+1.d0))
pr_corona(:,:,:) = ro_corona * tec0/gm
!! Total
ro_tot = ro_disk + ro_corona
p_tot = pr_disk + pr_corona
ro_h = f_p_n * ro_tot
ro_m = f_p_p * ro_tot
p_h = f_p_n * p_tot
p_m = f_p_p * p_tot
vx_h = 0.d0; vx_m = 0.d0
vy_h = 0.d0; vy_m = 0.d0
vz_h = vz_disk ; vz_m = vz_disk
b0 = sqrt(emg)
!b0 = 0.d0
B_x = 0.d0
B_y = b0
B_z = 0.d0
!! Perturbation (to V_phi)
do j=1,jx
do i=1,ix
vz_h(i,j,:) = vz_h(i,j,:) * (1.d0+amp*sin(2.d0*pi/rlambda*y(j)))
vz_m(i,j,:) = vz_m(i,j,:) * (1.d0+amp*sin(2.d0*pi/rlambda*y(j)))
enddo
enddo
!!!========================================================
!convert PV2cq and set that value to global variable 'U_h' and/or 'U_m'
call setcq(ro_m,vx_m,vy_m,vz_m,p_m,B_x,B_y,B_z, &
ro_h,vx_h,vy_h,vz_h,p_h)
!---------------------------------------------------------------------
!set default output period and time duration--------------------------
if(tend.lt.0.0) then
tend=10.0d0
!tend=2.0d0
dtout=0.2d0
if(flag_mpi.eq.0 .or.my_rank.eq.0) print *,"TEND",dtout,tend
endif
!---------------------------------------------------------------------
end subroutine MRI