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module warpx_ES_interpolate_cic
use iso_c_binding
use amrex_fort_module, only : amrex_real, amrex_particle_real
implicit none
contains
! This routine interpolates the electric field to the particle positions
! using cloud-in-cell interpolation. The electric fields are assumed to be
! node-centered.
!
! Arguments:
! particles : a pointer to the particle array-of-structs
! ns : the stride length of particle struct (the size of the struct in number of reals)
! np : the number of particles
! Ex_p : the electric field in the x-direction at the particle positions (output)
! Ey_p : the electric field in the y-direction at the particle positions (output)
! Ez_p : the electric field in the z-direction at the particle positions (output)
! Ex, Ey, Ez: Fabs conting the electric field on the mesh
! lo : a pointer to the lo corner of this valid box, in index space
! hi : a pointer to the hi corner of this valid box, in index space
! plo : the real position of the left-hand corner of the problem domain
! dx : the mesh spacing
! ng : the number of ghost cells for the E-field
!
subroutine warpx_interpolate_cic_3d(particles, ns, np, &
Ex_p, Ey_p, Ez_p, &
Ex, Ey, Ez, &
lo, hi, plo, dx, ng) &
bind(c,name='warpx_interpolate_cic_3d')
integer, value, intent(in) :: ns, np
real(amrex_particle_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(inout) :: Ex_p(np), Ey_p(np), Ez_p(np)
integer, intent(in) :: ng
integer, intent(in) :: lo(3)
integer, intent(in) :: hi(3)
real(amrex_real), intent(in) :: Ex(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: Ey(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: Ez(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: plo(3)
real(amrex_real), intent(in) :: dx(3)
integer i, j, k, n
real(amrex_real) wx_lo, wy_lo, wz_lo, wx_hi, wy_hi, wz_hi
real(amrex_real) lx, ly, lz
real(amrex_real) inv_dx(3)
inv_dx = 1.0d0/dx
do n = 1, np
lx = (particles(1, n) - plo(1))*inv_dx(1)
ly = (particles(2, n) - plo(2))*inv_dx(2)
lz = (particles(3, n) - plo(3))*inv_dx(3)
i = floor(lx)
j = floor(ly)
k = floor(lz)
wx_hi = lx - i
wy_hi = ly - j
wz_hi = lz - k
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
wz_lo = 1.0d0 - wz_hi
Ex_p(n) = wx_lo*wy_lo*wz_lo*Ex(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ex(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ex(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ex(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ex(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ex(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ex(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ex(i+1, j+1, k+1)
Ey_p(n) = wx_lo*wy_lo*wz_lo*Ey(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ey(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ey(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ey(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ey(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ey(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ey(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ey(i+1, j+1, k+1)
Ez_p(n) = wx_lo*wy_lo*wz_lo*Ez(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ez(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ez(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ez(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ez(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ez(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ez(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ez(i+1, j+1, k+1)
end do
end subroutine warpx_interpolate_cic_3d
subroutine warpx_interpolate_cic_2d(particles, ns, np, &
Ex_p, Ey_p, &
Ex, Ey, &
lo, hi, plo, dx, ng) &
bind(c,name='warpx_interpolate_cic_2d')
integer, value, intent(in) :: ns, np
real(amrex_particle_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(inout) :: Ex_p(np), Ey_p(np)
integer, intent(in) :: ng
integer, intent(in) :: lo(2)
integer, intent(in) :: hi(2)
real(amrex_real), intent(in) :: Ex(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng)
real(amrex_real), intent(in) :: Ey(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng)
real(amrex_real), intent(in) :: plo(2)
real(amrex_real), intent(in) :: dx(2)
integer i, j, n
real(amrex_real) wx_lo, wy_lo, wx_hi, wy_hi
real(amrex_real) lx, ly
real(amrex_real) inv_dx(2)
inv_dx = 1.0d0/dx
do n = 1, np
lx = (particles(1, n) - plo(1))*inv_dx(1)
ly = (particles(2, n) - plo(2))*inv_dx(2)
i = floor(lx)
j = floor(ly)
wx_hi = lx - i
wy_hi = ly - j
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
Ex_p(n) = wx_lo*wy_lo*Ex(i, j ) + &
wx_lo*wy_hi*Ex(i, j+1) + &
wx_hi*wy_lo*Ex(i+1, j ) + &
wx_hi*wy_hi*Ex(i+1, j+1)
Ey_p(n) = wx_lo*wy_lo*Ey(i, j ) + &
wx_lo*wy_hi*Ey(i, j+1) + &
wx_hi*wy_lo*Ey(i+1, j ) + &
wx_hi*wy_hi*Ey(i+1, j+1)
end do
end subroutine warpx_interpolate_cic_2d
subroutine warpx_interpolate_cic_two_levels_3d(particles, ns, np, &
Ex_p, Ey_p, Ez_p, &
Ex, Ey, Ez, &
lo, hi, dx, &
cEx, cEy, cEz, &
mask, &
clo, chi, cdx, &
plo, ng, lev) &
bind(c,name='warpx_interpolate_cic_two_levels_3d')
integer, value, intent(in) :: ns, np
real(amrex_particle_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(inout) :: Ex_p(np), Ey_p(np), Ez_p(np)
integer, intent(in) :: ng, lev
integer, intent(in) :: lo(3), hi(3)
integer, intent(in) :: clo(3), chi(3)
real(amrex_real), intent(in) :: Ex(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: Ey(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: Ez(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng, lo(3)-ng:hi(3)+ng)
real(amrex_real), intent(in) :: cEx(clo(1)-ng:chi(1)+ng, clo(2)-ng:chi(2)+ng, clo(3)-ng:chi(3)+ng)
real(amrex_real), intent(in) :: cEy(clo(1)-ng:chi(1)+ng, clo(2)-ng:chi(2)+ng, clo(3)-ng:chi(3)+ng)
real(amrex_real), intent(in) :: cEz(clo(1)-ng:chi(1)+ng, clo(2)-ng:chi(2)+ng, clo(3)-ng:chi(3)+ng)
integer(c_int), intent(in) :: mask (lo(1):hi(1),lo(2):hi(2),lo(3):hi(3))
real(amrex_real), intent(in) :: plo(3)
real(amrex_real), intent(in) :: dx(3), cdx(3)
integer i, j, k, n
real(amrex_real) wx_lo, wy_lo, wz_lo, wx_hi, wy_hi, wz_hi
real(amrex_real) lx, ly, lz
real(amrex_real) inv_dx(3), inv_cdx(3)
inv_dx = 1.0d0/dx
inv_cdx = 1.0d0/cdx
do n = 1, np
lx = (particles(1, n) - plo(1))*inv_dx(1)
ly = (particles(2, n) - plo(2))*inv_dx(2)
lz = (particles(3, n) - plo(3))*inv_dx(3)
i = floor(lx)
j = floor(ly)
k = floor(lz)
! use the coarse E if near the level boundary
if (lev .eq. 1 .and. mask(i,j,k) .eq. 1) then
lx = (particles(1, n) - plo(1))*inv_cdx(1)
ly = (particles(2, n) - plo(2))*inv_cdx(2)
lz = (particles(3, n) - plo(3))*inv_cdx(3)
i = floor(lx)
j = floor(ly)
k = floor(lz)
wx_hi = lx - i
wy_hi = ly - j
wz_hi = lz - k
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
wz_lo = 1.0d0 - wz_hi
Ex_p(n) = wx_lo*wy_lo*wz_lo*cEx(i, j, k ) + &
wx_lo*wy_lo*wz_hi*cEx(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*cEx(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*cEx(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*cEx(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*cEx(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*cEx(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*cEx(i+1, j+1, k+1)
Ey_p(n) = wx_lo*wy_lo*wz_lo*cEy(i, j, k ) + &
wx_lo*wy_lo*wz_hi*cEy(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*cEy(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*cEy(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*cEy(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*cEy(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*cEy(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*cEy(i+1, j+1, k+1)
Ez_p(n) = wx_lo*wy_lo*wz_lo*cEz(i, j, k ) + &
wx_lo*wy_lo*wz_hi*cEz(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*cEz(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*cEz(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*cEz(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*cEz(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*cEz(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*cEz(i+1, j+1, k+1)
! otherwise use the fine
else
wx_hi = lx - i
wy_hi = ly - j
wz_hi = lz - k
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
wz_lo = 1.0d0 - wz_hi
Ex_p(n) = wx_lo*wy_lo*wz_lo*Ex(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ex(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ex(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ex(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ex(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ex(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ex(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ex(i+1, j+1, k+1)
Ey_p(n) = wx_lo*wy_lo*wz_lo*Ey(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ey(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ey(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ey(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ey(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ey(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ey(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ey(i+1, j+1, k+1)
Ez_p(n) = wx_lo*wy_lo*wz_lo*Ez(i, j, k ) + &
wx_lo*wy_lo*wz_hi*Ez(i, j, k+1) + &
wx_lo*wy_hi*wz_lo*Ez(i, j+1, k ) + &
wx_lo*wy_hi*wz_hi*Ez(i, j+1, k+1) + &
wx_hi*wy_lo*wz_lo*Ez(i+1, j, k ) + &
wx_hi*wy_lo*wz_hi*Ez(i+1, j, k+1) + &
wx_hi*wy_hi*wz_lo*Ez(i+1, j+1, k ) + &
wx_hi*wy_hi*wz_hi*Ez(i+1, j+1, k+1)
end if
end do
end subroutine warpx_interpolate_cic_two_levels_3d
subroutine warpx_interpolate_cic_two_levels_2d(particles, ns, np, &
Ex_p, Ey_p, &
Ex, Ey, &
lo, hi, dx, &
cEx, cEy, &
mask, &
clo, chi, cdx, &
plo, ng, lev) &
bind(c,name='warpx_interpolate_cic_two_levels_2d')
integer, value, intent(in) :: ns, np
real(amrex_particle_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(inout) :: Ex_p(np), Ey_p(np)
integer, intent(in) :: ng, lev
integer, intent(in) :: lo(2), hi(2)
integer, intent(in) :: clo(2), chi(2)
real(amrex_real), intent(in) :: Ex(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng)
real(amrex_real), intent(in) :: Ey(lo(1)-ng:hi(1)+ng, lo(2)-ng:hi(2)+ng)
real(amrex_real), intent(in) :: cEx(clo(1)-ng:chi(1)+ng, clo(2)-ng:chi(2)+ng)
real(amrex_real), intent(in) :: cEy(clo(1)-ng:chi(1)+ng, clo(2)-ng:chi(2)+ng)
integer(c_int), intent(in) :: mask (lo(1):hi(1),lo(2):hi(2))
real(amrex_real), intent(in) :: plo(2)
real(amrex_real), intent(in) :: dx(2), cdx(2)
integer i, j, n
real(amrex_real) wx_lo, wy_lo, wx_hi, wy_hi
real(amrex_real) lx, ly
real(amrex_real) inv_dx(2), inv_cdx(2)
inv_dx = 1.0d0/dx
inv_cdx = 1.0d0/cdx
do n = 1, np
lx = (particles(1, n) - plo(1))*inv_dx(1)
ly = (particles(2, n) - plo(2))*inv_dx(2)
i = floor(lx)
j = floor(ly)
! use the coarse E if near the level boundary
if (lev .eq. 1 .and. mask(i,j) .eq. 1) then
lx = (particles(1, n) - plo(1))*inv_cdx(1)
ly = (particles(2, n) - plo(2))*inv_cdx(2)
i = floor(lx)
j = floor(ly)
wx_hi = lx - i
wy_hi = ly - j
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
Ex_p(n) = wx_lo*wy_lo*cEx(i, j ) + &
wx_lo*wy_hi*cEx(i, j+1) + &
wx_hi*wy_lo*cEx(i+1, j ) + &
wx_hi*wy_hi*cEx(i+1, j+1)
Ey_p(n) = wx_lo*wy_lo*cEy(i, j ) + &
wx_lo*wy_hi*cEy(i, j+1) + &
wx_hi*wy_lo*cEy(i+1, j ) + &
wx_hi*wy_hi*cEy(i+1, j+1)
! otherwise use the fine
else
wx_hi = lx - i
wy_hi = ly - j
wx_lo = 1.0d0 - wx_hi
wy_lo = 1.0d0 - wy_hi
Ex_p(n) = wx_lo*wy_lo*Ex(i, j ) + &
wx_lo*wy_hi*Ex(i, j+1) + &
wx_hi*wy_lo*Ex(i+1, j ) + &
wx_hi*wy_hi*Ex(i+1, j+1)
Ey_p(n) = wx_lo*wy_lo*Ey(i, j ) + &
wx_lo*wy_hi*Ey(i, j+1) + &
wx_hi*wy_lo*Ey(i+1, j ) + &
wx_hi*wy_hi*Ey(i+1, j+1)
end if
end do
end subroutine warpx_interpolate_cic_two_levels_2d
end module warpx_ES_interpolate_cic
|
