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|
module warpx_electrostatic_module
use iso_c_binding
use amrex_fort_module, only : amrex_real
implicit none
contains
subroutine warpx_sum_fine_to_crse_nodal_3d (lo, hi, lrat, crse, clo, chi, fine, flo, fhi) &
bind(c, name="warpx_sum_fine_to_crse_nodal_3d")
integer, intent(in) :: lo(3), hi(3)
integer, intent(in) :: clo(3), chi(3)
integer, intent(in) :: flo(3), fhi(3)
integer, intent(in) :: lrat(3)
real(amrex_real), intent(inout) :: crse(clo(1):chi(1),clo(2):chi(2),clo(3):chi(3))
real(amrex_real), intent(in) :: fine(flo(1):fhi(1),flo(2):fhi(2),flo(3):fhi(3))
integer :: i, j, k, ii, jj, kk
do k = lo(3), hi(3)
kk = k * lrat(3)
do j = lo(2), hi(2)
jj = j * lrat(2)
do i = lo(1), hi(1)
ii = i * lrat(1)
crse(i,j,k) = fine(ii,jj,kk) + &
! These six fine nodes are shared by two coarse nodes...
0.5d0 * (fine(ii-1,jj,kk) + fine(ii+1,jj,kk) + &
fine(ii,jj-1,kk) + fine(ii,jj+1,kk) + &
fine(ii,jj,kk-1) + fine(ii,jj,kk+1)) + &
! ... these twelve are shared by four...
0.25d0 * (fine(ii,jj-1,kk-1) + fine(ii,jj+1,kk-1) + &
fine(ii,jj-1,kk+1) + fine(ii,jj+1,kk+1) + &
fine(ii-1,jj,kk-1) + fine(ii+1,jj,kk-1) + &
fine(ii-1,jj,kk+1) + fine(ii+1,jj,kk+1) + &
fine(ii-1,jj-1,kk) + fine(ii+1,jj-1,kk) + &
fine(ii-1,jj+1,kk) + fine(ii+1,jj+1,kk)) + &
! ... and these eight are shared by eight
0.125d0 * (fine(ii-1,jj-1,kk-1) + fine(ii-1,jj-1,kk+1) + &
fine(ii-1,jj+1,kk-1) + fine(ii-1,jj+1,kk+1) + &
fine(ii+1,jj-1,kk-1) + fine(ii+1,jj-1,kk+1) + &
fine(ii+1,jj+1,kk-1) + fine(ii+1,jj+1,kk+1))
! ... note that we have 27 nodes in total...
crse(i,j,k) = crse(i,j,k) / 8.d0
end do
end do
end do
end subroutine warpx_sum_fine_to_crse_nodal_3d
subroutine warpx_sum_fine_to_crse_nodal_2d (lo, hi, lrat, crse, clo, chi, fine, flo, fhi) &
bind(c, name="warpx_sum_fine_to_crse_nodal_2d")
integer, intent(in) :: lo(2), hi(2)
integer, intent(in) :: clo(2), chi(2)
integer, intent(in) :: flo(2), fhi(2)
integer, intent(in) :: lrat(2)
real(amrex_real), intent(inout) :: crse(clo(1):chi(1),clo(2):chi(2))
real(amrex_real), intent(in) :: fine(flo(1):fhi(1),flo(2):fhi(2))
integer :: i, j, ii, jj
do j = lo(2), hi(2)
jj = j * lrat(2)
do i = lo(1), hi(1)
ii = i * lrat(1)
crse(i,j) = fine(ii,jj) + &
! These four fine nodes are shared by two coarse nodes...
0.5d0 * (fine(ii-1,jj) + fine(ii+1,jj) + &
fine(ii,jj-1) + fine(ii,jj+1)) + &
! ... and these four are shared by four...
0.25d0 * (fine(ii-1,jj-1) + fine(ii-1,jj+1) + &
fine(ii-1,jj+1) + fine(ii+1,jj+1))
! ... note that we have 9 nodes in total...
crse(i,j) = crse(i,j) / 4.d0
end do
end do
end subroutine warpx_sum_fine_to_crse_nodal_2d
subroutine warpx_zero_out_bndry_3d (lo, hi, input_data, bndry_data, mask) &
bind(c,name='warpx_zero_out_bndry_3d')
integer(c_int), intent(in ) :: lo(3), hi(3)
double precision, intent(inout) :: input_data(lo(1):hi(1),lo(2):hi(2),lo(3):hi(3))
double precision, intent(inout) :: bndry_data(lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1,lo(3)-1:hi(3)+1)
integer(c_int), intent(in ) :: mask (lo(1):hi(1),lo(2):hi(2),lo(3):hi(3))
integer :: i, j, k
do k = lo(3), hi(3)
do j = lo(2), hi(2)
do i = lo(1), hi(1)
if (mask(i,j,k) .eq. 1) then
bndry_data(i,j,k) = input_data(i,j,k)
input_data(i,j,k) = 0.d0
end if
end do
end do
end do
end subroutine warpx_zero_out_bndry_3d
subroutine warpx_zero_out_bndry_2d (lo, hi, input_data, bndry_data, mask) &
bind(c,name='warpx_zero_out_bndry_2d')
integer(c_int), intent(in ) :: lo(2), hi(2)
double precision, intent(inout) :: input_data(lo(1):hi(1),lo(2):hi(2))
double precision, intent(inout) :: bndry_data(lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1)
integer(c_int), intent(in ) :: mask (lo(1):hi(1),lo(2):hi(2))
integer :: i, j
do j = lo(2), hi(2)
do i = lo(1), hi(1)
if (mask(i,j) .eq. 1) then
bndry_data(i,j) = input_data(i,j)
input_data(i,j) = 0.d0
end if
end do
end do
end subroutine warpx_zero_out_bndry_2d
subroutine warpx_build_mask_3d (lo, hi, tmp_mask, mask, ncells) &
bind(c,name='warpx_build_mask_3d')
integer(c_int), intent(in ) :: lo(3), hi(3)
integer(c_int), intent(in ) :: ncells
integer(c_int), intent(in ) :: tmp_mask(lo(1)-ncells:hi(1)+ncells,lo(2)-ncells:hi(2)+ncells,lo(3)-ncells:hi(3)+ncells)
integer(c_int), intent(inout) :: mask (lo(1):hi(1),lo(2):hi(2),lo(3):hi(3))
integer :: i, j, k, ii, jj, kk, total
do k = lo(3), hi(3)
do j = lo(2), hi(2)
do i = lo(1), hi(1)
total = 0
do ii = i-ncells, i+ncells
do jj = j-ncells, j+ncells
do kk = k-ncells, k+ncells
total = total + tmp_mask(ii, jj, kk)
end do
end do
end do
if (total .gt. 0) then
mask(i,j,k) = 1
else
mask(i,j,k) = 0
end if
end do
end do
end do
end subroutine warpx_build_mask_3d
subroutine warpx_build_mask_2d (lo, hi, tmp_mask, mask, ncells) &
bind(c,name='warpx_build_mask_2d')
integer(c_int), intent(in ) :: lo(2), hi(2)
integer(c_int), intent(in ) :: ncells
integer(c_int), intent(in ) :: tmp_mask(lo(1)-ncells:hi(1)+ncells,lo(2)-ncells:hi(2)+ncells)
integer(c_int), intent(inout) :: mask (lo(1):hi(1),lo(2):hi(2))
integer :: i, j, ii, jj, total
do j = lo(2), hi(2)
do i = lo(1), hi(1)
total = 0
do ii = i-ncells, i+ncells
do jj = j-ncells, j+ncells
total = total + tmp_mask(ii, jj)
end do
end do
if (total .gt. 0) then
mask(i,j) = 1
else
mask(i,j) = 0
end if
end do
end do
end subroutine warpx_build_mask_2d
! This routine computes the node-centered electric field given a node-centered phi.
! The gradient is computed using 2nd-order centered differences. It assumes the
! Boundary conditions have already been set and that you have two rows of ghost cells
! for phi and one row of ghost cells for Ex, Ey, and Ez.
! Note that this routine includes the minus sign in E = - grad phi.
!
! Arguments:
! lo, hi: The corners of the valid box over which the gradient is taken
! Ex, Ey, Ez: The electric field in the x, y, and z directions.
! dx: The cell spacing
!
subroutine warpx_compute_E_nodal_3d (lo, hi, phi, Ex, Ey, Ez, dx) &
bind(c,name='warpx_compute_E_nodal_3d')
integer(c_int), intent(in) :: lo(3), hi(3)
real(amrex_real), intent(in) :: dx(3)
real(amrex_real), intent(in ) :: phi(lo(1)-2:hi(1)+2,lo(2)-2:hi(2)+2,lo(3)-2:hi(3)+2)
real(amrex_real), intent(inout) :: Ex (lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1,lo(3)-1:hi(3)+1)
real(amrex_real), intent(inout) :: Ey (lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1,lo(3)-1:hi(3)+1)
real(amrex_real), intent(inout) :: Ez (lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1,lo(3)-1:hi(3)+1)
integer :: i, j, k
real(amrex_real) :: fac(3)
fac = 0.5d0 / dx
do k = lo(3)-1, hi(3)+1
do j = lo(2)-1, hi(2)+1
do i = lo(1)-1, hi(1)+1
Ex(i,j,k) = fac(1) * (phi(i-1,j,k) - phi(i+1,j,k))
Ey(i,j,k) = fac(2) * (phi(i,j-1,k) - phi(i,j+1,k))
Ez(i,j,k) = fac(3) * (phi(i,j,k-1) - phi(i,j,k+1))
end do
end do
end do
end subroutine warpx_compute_E_nodal_3d
subroutine warpx_compute_E_nodal_2d (lo, hi, phi, Ex, Ey, dx) &
bind(c,name='warpx_compute_E_nodal_2d')
integer(c_int), intent(in) :: lo(2), hi(2)
real(amrex_real), intent(in) :: dx(2)
real(amrex_real), intent(in ) :: phi(lo(1)-2:hi(1)+2,lo(2)-2:hi(2)+2)
real(amrex_real), intent(inout) :: Ex (lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1)
real(amrex_real), intent(inout) :: Ey (lo(1)-1:hi(1)+1,lo(2)-1:hi(2)+1)
integer :: i, j
real(amrex_real) :: fac(2)
fac = 0.5d0 / dx
do j = lo(2)-1, hi(2)+1
do i = lo(1)-1, hi(1)+1
Ex(i,j) = fac(1) * (phi(i-1,j) - phi(i+1,j))
Ey(i,j) = fac(2) * (phi(i,j-1) - phi(i,j+1))
end do
end do
end subroutine warpx_compute_E_nodal_2d
! This routine computes the charge density due to the particles using cloud-in-cell
! deposition. The Fab rho is 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
! weights : the particle weights
! charge : the charge of this particle species
! rho : a Fab that will contain the charge density on exit
! lo : a pointer to the lo corner of this valid box for rho, in index space
! hi : a pointer to the hi corner of this valid box for rho, 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 in rho
!
subroutine warpx_deposit_cic_3d(particles, ns, np, &
weights, charge, rho, lo, hi, plo, dx, &
ng) &
bind(c,name='warpx_deposit_cic_3d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(in) :: weights(np)
real(amrex_real), intent(in) :: charge
integer, intent(in) :: lo(3)
integer, intent(in) :: hi(3)
integer, intent(in) :: ng
real(amrex_real), intent(inout) :: rho(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)
real(amrex_real) qp, inv_vol
inv_dx = 1.0d0/dx
inv_vol = inv_dx(1) * inv_dx(2) * inv_dx(3)
do n = 1, np
qp = weights(n) * charge * inv_vol
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
rho(i, j, k ) = rho(i, j, k ) + wx_lo*wy_lo*wz_lo*qp
rho(i, j, k+1) = rho(i, j, k+1) + wx_lo*wy_lo*wz_hi*qp
rho(i, j+1, k ) = rho(i, j+1, k ) + wx_lo*wy_hi*wz_lo*qp
rho(i, j+1, k+1) = rho(i, j+1, k+1) + wx_lo*wy_hi*wz_hi*qp
rho(i+1, j, k ) = rho(i+1, j, k ) + wx_hi*wy_lo*wz_lo*qp
rho(i+1, j, k+1) = rho(i+1, j, k+1) + wx_hi*wy_lo*wz_hi*qp
rho(i+1, j+1, k ) = rho(i+1, j+1, k ) + wx_hi*wy_hi*wz_lo*qp
rho(i+1, j+1, k+1) = rho(i+1, j+1, k+1) + wx_hi*wy_hi*wz_hi*qp
end do
end subroutine warpx_deposit_cic_3d
subroutine warpx_deposit_cic_2d(particles, ns, np, &
weights, charge, rho, lo, hi, plo, dx, &
ng) &
bind(c,name='warpx_deposit_cic_2d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(in) :: particles(ns,np)
real(amrex_real), intent(in) :: weights(np)
real(amrex_real), intent(in) :: charge
integer, intent(in) :: lo(2)
integer, intent(in) :: hi(2)
integer, intent(in) :: ng
real(amrex_real), intent(inout) :: rho(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)
real(amrex_real) qp, inv_vol
inv_dx = 1.0d0/dx
inv_vol = inv_dx(1) * inv_dx(2)
do n = 1, np
qp = weights(n) * charge * inv_vol
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
rho(i, j ) = rho(i, j ) + wx_lo*wy_lo*qp
rho(i, j+1) = rho(i, j+1) + wx_lo*wy_hi*qp
rho(i+1, j ) = rho(i+1, j ) + wx_hi*wy_lo*qp
rho(i+1, j+1) = rho(i+1, j+1) + wx_hi*wy_hi*qp
end do
end subroutine warpx_deposit_cic_2d
! 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_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_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_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_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
!
! This routine updates the particle positions and velocities using the
! leapfrog time integration algorithm, given the electric fields at the
! particle positions. It also enforces specular reflection off the domain
! walls.
!
! 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
! vx_p : the particle x-velocities
! vy_p : the particle y-velocities
! vz_p : the particle z-velocities
! Ex_p : the electric field in the x-direction at the particle positions
! Ey_p : the electric field in the y-direction at the particle positions
! Ez_p : the electric field in the z-direction at the particle positions
! charge : the charge of this particle species
! mass : the mass of this particle species
! dt : the time step
! prob_lo : the left-hand corner of the problem domain
! prob_hi : the right-hand corner of the problem domain
!
subroutine warpx_push_leapfrog_3d(particles, ns, np, &
vx_p, vy_p, vz_p, &
Ex_p, Ey_p, Ez_p, &
charge, mass, dt, &
prob_lo, prob_hi) &
bind(c,name='warpx_push_leapfrog_3d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(inout) :: particles(ns,np)
real(amrex_real), intent(inout) :: vx_p(np), vy_p(np), vz_p(np)
real(amrex_real), intent(in) :: Ex_p(np), Ey_p(np), Ez_p(np)
real(amrex_real), intent(in) :: charge
real(amrex_real), intent(in) :: mass
real(amrex_real), intent(in) :: dt
real(amrex_real), intent(in) :: prob_lo(3), prob_hi(3)
integer n
real(amrex_real) fac
fac = charge * dt / mass
do n = 1, np
vx_p(n) = vx_p(n) + fac * Ex_p(n)
vy_p(n) = vy_p(n) + fac * Ey_p(n)
vz_p(n) = vz_p(n) + fac * Ez_p(n)
particles(1, n) = particles(1, n) + dt * vx_p(n)
particles(2, n) = particles(2, n) + dt * vy_p(n)
particles(3, n) = particles(3, n) + dt * vz_p(n)
! bounce off the walls in the x...
do while (particles(1, n) .lt. prob_lo(1) .or. particles(1, n) .gt. prob_hi(1))
if (particles(1, n) .lt. prob_lo(1)) then
particles(1, n) = 2.d0*prob_lo(1) - particles(1, n)
else
particles(1, n) = 2.d0*prob_hi(1) - particles(1, n)
end if
vx_p(n) = -vx_p(n)
end do
! ... y...
do while (particles(2, n) .lt. prob_lo(2) .or. particles(2, n) .gt. prob_hi(2))
if (particles(2, n) .lt. prob_lo(2)) then
particles(2, n) = 2.d0*prob_lo(2) - particles(2, n)
else
particles(2, n) = 2.d0*prob_hi(2) - particles(2, n)
end if
vy_p(n) = -vy_p(n)
end do
! ... and z directions
do while (particles(3, n) .lt. prob_lo(3) .or. particles(3, n) .gt. prob_hi(3))
if (particles(3, n) .lt. prob_lo(3)) then
particles(3, n) = 2.d0*prob_lo(3) - particles(3, n)
else
particles(3, n) = 2.d0*prob_hi(3) - particles(3, n)
end if
vz_p(n) = -vz_p(n)
end do
end do
end subroutine warpx_push_leapfrog_3d
subroutine warpx_push_leapfrog_2d(particles, ns, np, &
vx_p, vy_p, &
Ex_p, Ey_p, &
charge, mass, dt, &
prob_lo, prob_hi) &
bind(c,name='warpx_push_leapfrog_2d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(inout) :: particles(ns,np)
real(amrex_real), intent(inout) :: vx_p(np), vy_p(np)
real(amrex_real), intent(in) :: Ex_p(np), Ey_p(np)
real(amrex_real), intent(in) :: charge
real(amrex_real), intent(in) :: mass
real(amrex_real), intent(in) :: dt
real(amrex_real), intent(in) :: prob_lo(2), prob_hi(2)
integer n
real(amrex_real) fac
fac = charge * dt / mass
do n = 1, np
vx_p(n) = vx_p(n) + fac * Ex_p(n)
vy_p(n) = vy_p(n) + fac * Ey_p(n)
particles(1, n) = particles(1, n) + dt * vx_p(n)
particles(2, n) = particles(2, n) + dt * vy_p(n)
! bounce off the walls in the x...
do while (particles(1, n) .lt. prob_lo(1) .or. particles(1, n) .gt. prob_hi(1))
if (particles(1, n) .lt. prob_lo(1)) then
particles(1, n) = 2.d0*prob_lo(1) - particles(1, n)
else
particles(1, n) = 2.d0*prob_hi(1) - particles(1, n)
end if
vx_p(n) = -vx_p(n)
end do
! ... y...
do while (particles(2, n) .lt. prob_lo(2) .or. particles(2, n) .gt. prob_hi(2))
if (particles(2, n) .lt. prob_lo(2)) then
particles(2, n) = 2.d0*prob_lo(2) - particles(2, n)
else
particles(2, n) = 2.d0*prob_hi(2) - particles(2, n)
end if
vy_p(n) = -vy_p(n)
end do
end do
end subroutine warpx_push_leapfrog_2d
!
! This routine advances the particle positions using the current
! velocity. This is needed to desynchronize the particle positions
! from the velocities after particle initialization.
!
! 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
! xx_p : the electric field in the x-direction at the particle positions
! vy_p : the electric field in the y-direction at the particle positions
! vz_p : the electric field in the z-direction at the particle positions
! dt : the time step
! prob_lo : the left-hand corner of the problem domain
! prob_hi : the right-hand corner of the problem domain
!
subroutine warpx_push_leapfrog_positions_3d(particles, ns, np, &
vx_p, vy_p, vz_p, dt, &
prob_lo, prob_hi) &
bind(c,name='warpx_push_leapfrog_positions_3d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(inout) :: particles(ns,np)
real(amrex_real), intent(inout) :: vx_p(np), vy_p(np), vz_p(np)
real(amrex_real), intent(in) :: dt
real(amrex_real), intent(in) :: prob_lo(3), prob_hi(3)
integer n
do n = 1, np
particles(1, n) = particles(1, n) + dt * vx_p(n)
particles(2, n) = particles(2, n) + dt * vy_p(n)
particles(3, n) = particles(3, n) + dt * vz_p(n)
! bounce off the walls in the x...
do while (particles(1, n) .lt. prob_lo(1) .or. particles(1, n) .gt. prob_hi(1))
if (particles(1, n) .lt. prob_lo(1)) then
particles(1, n) = 2.d0*prob_lo(1) - particles(1, n)
else
particles(1, n) = 2.d0*prob_hi(1) - particles(1, n)
end if
vx_p(n) = -vx_p(n)
end do
! ... y...
do while (particles(2, n) .lt. prob_lo(2) .or. particles(2, n) .gt. prob_hi(2))
if (particles(2, n) .lt. prob_lo(2)) then
particles(2, n) = 2.d0*prob_lo(2) - particles(2, n)
else
particles(2, n) = 2.d0*prob_hi(2) - particles(2, n)
end if
vy_p(n) = -vy_p(n)
end do
! ... and z directions
do while (particles(3, n) .lt. prob_lo(3) .or. particles(3, n) .gt. prob_hi(3))
if (particles(3, n) .lt. prob_lo(3)) then
particles(3, n) = 2.d0*prob_lo(3) - particles(3, n)
else
particles(3, n) = 2.d0*prob_hi(3) - particles(3, n)
end if
vz_p(n) = -vz_p(n)
end do
end do
end subroutine warpx_push_leapfrog_positions_3d
subroutine warpx_push_leapfrog_positions_2d(particles, ns, np, &
vx_p, vy_p, dt, &
prob_lo, prob_hi) &
bind(c,name='warpx_push_leapfrog_positions_2d')
integer, value, intent(in) :: ns, np
real(amrex_real), intent(inout) :: particles(ns,np)
real(amrex_real), intent(inout) :: vx_p(np), vy_p(np)
real(amrex_real), intent(in) :: dt
real(amrex_real), intent(in) :: prob_lo(2), prob_hi(2)
integer n
do n = 1, np
particles(1, n) = particles(1, n) + dt * vx_p(n)
particles(2, n) = particles(2, n) + dt * vy_p(n)
! bounce off the walls in the x...
do while (particles(1, n) .lt. prob_lo(1) .or. particles(1, n) .gt. prob_hi(1))
if (particles(1, n) .lt. prob_lo(1)) then
particles(1, n) = 2.d0*prob_lo(1) - particles(1, n)
else
particles(1, n) = 2.d0*prob_hi(1) - particles(1, n)
end if
vx_p(n) = -vx_p(n)
end do
! ... y...
do while (particles(2, n) .lt. prob_lo(2) .or. particles(2, n) .gt. prob_hi(2))
if (particles(2, n) .lt. prob_lo(2)) then
particles(2, n) = 2.d0*prob_lo(2) - particles(2, n)
else
particles(2, n) = 2.d0*prob_hi(2) - particles(2, n)
end if
vy_p(n) = -vy_p(n)
end do
end do
end subroutine warpx_push_leapfrog_positions_2d
end module warpx_electrostatic_module
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