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abffb2e433504a97cc7587ceb8ed7de4233e9d65
gprMax/gprMax/cython/pml_updates_magnetic_MRIPML.pyx

858 行
37 KiB
Cython
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# Copyright (C) 2015-2019: The University of Edinburgh
# Authors: Craig Warren and Antonis Giannopoulos
#
# This file is part of gprMax.
#
# gprMax is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# gprMax is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with gprMax. If not, see <http://www.gnu.org/licenses/>.
import numpy as np
cimport numpy as np
from cython.parallel import prange
from gprMax.config cimport float_or_double
cpdef void order1_xminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hy and Hz field components for the xminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, ERE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHy, materialHz
cdef float_or_double dx, dEy, dEz, IRA, IRA1, RB0, RC0, RE0, RF0
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = xf - (i + 1)
IRA = 1 / RA[0, i]
IRA1 = IRA - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RC0 = IRA * RB0 * RF0
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Hy
materialHy = ID[4, ii, jj, kk]
dEz = (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk]) / dx
Hy[ii, jj, kk] = Hy[ii, jj, kk] + updatecoeffsH[materialHy, 4] * (IRA1 * dEz - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEz - RC0 * Phi1[0, i, j, k]
# Hz
materialHz = ID[5, ii, jj, kk]
dEy = (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk]) / dx
Hz[ii, jj, kk] = Hz[ii, jj, kk] - updatecoeffsH[materialHz, 4] * (IRA1 * dEy - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEy - RC0 * Phi2[0, i, j, k]
cpdef void order2_xminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hy and Hz field components for the xminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, ERE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHy, materialHz
cdef float_or_double dx, dEy, dEz, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = xf - (i + 1)
IRA = 1 / (RA[0, i] + RA[1, i])
IRA1 = IRA - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RC0 = IRA * RF0
RB1 = RB[1, i]
RE1 = RE[1, i]
RF1 = RF[1, i]
RC1 = IRA * RF1
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hy
materialHy = ID[4, ii, jj, kk]
dEz = (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk]) / dx
Hy[ii, jj, kk] = Hy[ii, jj, kk] + updatecoeffsH[materialHy, 4] * (IRA1 * dEz - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEz - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEz - Psi1)
# Hz
materialHz = ID[5, ii, jj, kk]
dEy = (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk]) / dx
Hz[ii, jj, kk] = Hz[ii, jj, kk] - updatecoeffsH[materialHz, 4] * (IRA1 * dEy - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEy - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEy - Psi2)
cpdef void order1_xplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hy and Hz field components for the xplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHy, materialHz
cdef float_or_double dx, dEy, dEz, IRA, IRA1, RB0, RC0, RE0, RF0
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
IRA = 1 / RA[0, i]
IRA1 = IRA - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RC0 = IRA * RB0 * RF0
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Hy
materialHy = ID[4, ii, jj, kk]
dEz = (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk]) / dx
Hy[ii, jj, kk] = Hy[ii, jj, kk] + updatecoeffsH[materialHy, 4] * (IRA1 * dEz - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEz - RC0 * Phi1[0, i, j, k]
# Hz
materialHz = ID[5, ii, jj, kk]
dEy = (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk]) / dx
Hz[ii, jj, kk] = Hz[ii, jj, kk] - updatecoeffsH[materialHz, 4] * (IRA1 * dEy - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEy - RC0 * Phi2[0, i, j, k]
cpdef void order2_xplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hy and Hz field components for the xplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHy, materialHz
cdef float_or_double dx, dEy, dEz, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
IRA = 1 / (RA[0, i] + RA[1, i])
IRA1 = IRA - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RC0 = IRA * RF0
RB1 = RB[1, i]
RE1 = RE[1, i]
RF1 = RF[1, i]
RC1 = IRA * RF1
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hy
materialHy = ID[4, ii, jj, kk]
dEz = (Ez[ii + 1, jj, kk] - Ez[ii, jj, kk]) / dx
Hy[ii, jj, kk] = Hy[ii, jj, kk] + updatecoeffsH[materialHy, 4] * (IRA1 * dEz - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEz - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEz - Psi1)
# Hz
materialHz = ID[5, ii, jj, kk]
dEy = (Ey[ii + 1, jj, kk] - Ey[ii, jj, kk]) / dx
Hz[ii, jj, kk] = Hz[ii, jj, kk] - updatecoeffsH[materialHz, 4] * (IRA1 * dEy - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEy - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEy - Psi2)
cpdef void order1_yminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hz field components for the yminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHz
cdef float_or_double dy, dEx, dEz, IRA, IRA1, RB0, RC0, RE0, RF0
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = yf - (j + 1)
IRA = 1 / RA[0, j]
IRA1 = IRA - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RC0 = IRA * RB0 * RF0
for k in range(0, nz):
kk = k + zs
# Hx
materialHx = ID[3, ii, jj, kk]
dEz = (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk]) / dy
Hx[ii, jj, kk] = Hx[ii, jj, kk] - updatecoeffsH[materialHx, 4] * (IRA1 * dEz - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEz - RC0 * Phi1[0, i, j, k]
# Hz
materialHz = ID[5, ii, jj, kk]
dEx = (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk]) / dy
Hz[ii, jj, kk] = Hz[ii, jj, kk] + updatecoeffsH[materialHz, 4] * (IRA1 * dEx - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEx - RC0 * Phi2[0, i, j, k]
cpdef void order2_yminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hz field components for the yminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHz
cdef float_or_double dy, dEx, dEz, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = yf - (j + 1)
IRA = 1 / (RA[0, j] + RA[1, j])
IRA1 = IRA - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RC0 = IRA * RF0
RB1 = RB[1, j]
RE1 = RE[1, j]
RF1 = RF[1, j]
RC1 = IRA * RF1
for k in range(0, nz):
kk = k + zs
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hx
materialHx = ID[3, ii, jj, kk]
dEz = (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk]) / dy
Hx[ii, jj, kk] = Hx[ii, jj, kk] - updatecoeffsH[materialHx, 4] * (IRA1 * dEz - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEz - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEz - Psi1)
# Hz
materialHz = ID[5, ii, jj, kk]
dEx = (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk]) / dy
Hz[ii, jj, kk] = Hz[ii, jj, kk] + updatecoeffsH[materialHz, 4] * (IRA1 * dEx - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEx - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEx - Psi2)
cpdef void order1_yplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hz field components for the yplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHz
cdef float_or_double dy, dEx, dEz, IRA, IRA1, RB0, RC0, RE0, RF0
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
IRA = 1 / RA[0, j]
IRA1 = IRA - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RC0 = IRA * RB0 * RF0
for k in range(0, nz):
kk = k + zs
# Hx
materialHx = ID[3, ii, jj, kk]
dEz = (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk]) / dy
Hx[ii, jj, kk] = Hx[ii, jj, kk] - updatecoeffsH[materialHx, 4] * (IRA1 * dEz - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEz - RC0 * Phi1[0, i, j, k]
# Hz
materialHz = ID[5, ii, jj, kk]
dEx = (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk]) / dy
Hz[ii, jj, kk] = Hz[ii, jj, kk] + updatecoeffsH[materialHz, 4] * (IRA1 * dEx - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEx - RC0 * Phi2[0, i, j, k]
cpdef void order2_yplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hz field components for the yplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHz
cdef float_or_double dy, dEx, dEz, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
IRA = 1 / (RA[0, j] + RA[1, j])
IRA1 = IRA - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RC0 = IRA * RF0
RB1 = RB[1, j]
RE1 = RE[1, j]
RF1 = RF[1, j]
RC1 = IRA * RF1
for k in range(0, nz):
kk = k + zs
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hx
materialHx = ID[3, ii, jj, kk]
dEz = (Ez[ii, jj + 1, kk] - Ez[ii, jj, kk]) / dy
Hx[ii, jj, kk] = Hx[ii, jj, kk] - updatecoeffsH[materialHx, 4] * (IRA1 * dEz - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEz - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEz - Psi1)
# Hz
materialHz = ID[5, ii, jj, kk]
dEx = (Ex[ii, jj + 1, kk] - Ex[ii, jj, kk]) / dy
Hz[ii, jj, kk] = Hz[ii, jj, kk] + updatecoeffsH[materialHz, 4] * (IRA1 * dEx - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEx - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEx - Psi2)
cpdef void order1_zminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hy field components for the zminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHy
cdef float_or_double dz, dEx, dEy, IRA, IRA1, RB0, RC0, RE0, RF0
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = zf - (k + 1)
IRA = 1 / RA[0, k]
IRA1 = IRA - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RC0 = IRA * RB0 * RF0
# Hx
materialHx = ID[3, ii, jj, kk]
dEy = (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk]) / dz
Hx[ii, jj, kk] = Hx[ii, jj, kk] + updatecoeffsH[materialHx, 4] * (IRA1 * dEy - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEy - RC0 * Phi1[0, i, j, k]
# Hy
materialHy = ID[4, ii, jj, kk]
dEx = (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk]) / dz
Hy[ii, jj, kk] = Hy[ii, jj, kk] - updatecoeffsH[materialHy, 4] * (IRA1 * dEx - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEx - RC0 * Phi2[0, i, j, k]
cpdef void order2_zminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hy field components for the zminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHy
cdef float_or_double dz, dEx, dEy, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = zf - (k + 1)
IRA = 1 / (RA[0, k] + RA[1, k])
IRA1 = IRA - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RC0 = IRA * RF0
RB1 = RB[1, k]
RE1 = RE[1, k]
RF1 = RF[1, k]
RC1 = IRA * RF1
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hx
materialHx = ID[3, ii, jj, kk]
dEy = (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk]) / dz
Hx[ii, jj, kk] = Hx[ii, jj, kk] + updatecoeffsH[materialHx, 4] * (IRA1 * dEy - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEy - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEy - Psi1)
# Hy
materialHy = ID[4, ii, jj, kk]
dEx = (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk]) / dz
Hy[ii, jj, kk] = Hy[ii, jj, kk] - updatecoeffsH[materialHy, 4] * (IRA1 * dEx - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEx - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEx - Psi2)
cpdef void order1_zplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hy field components for the zplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHy
cdef float_or_double dz, dEx, dEy, IRA, IRA1, RB0, RC0, RE0, RF0
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
IRA = 1 / RA[0, k]
IRA1 = IRA - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RC0 = IRA * RB0 * RF0
# Hx
materialHx = ID[3, ii, jj, kk]
dEy = (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk]) / dz
Hx[ii, jj, kk] = Hx[ii, jj, kk] + updatecoeffsH[materialHx, 4] * (IRA1 * dEy - IRA * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * dEy - RC0 * Phi1[0, i, j, k]
# Hy
materialHy = ID[4, ii, jj, kk]
dEx = (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk]) / dz
Hy[ii, jj, kk] = Hy[ii, jj, kk] - updatecoeffsH[materialHy, 4] * (IRA1 * dEx - IRA * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * dEx - RC0 * Phi2[0, i, j, k]
cpdef void order2_zplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsH,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Hx and Hy field components for the zplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
Phi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialHx, materialHy
cdef float_or_double dz, dEx, dEy, IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
IRA = 1 / (RA[0, k] + RA[1, k])
IRA1 = IRA - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RC0 = IRA * RF0
RB1 = RB[1, k]
RE1 = RE[1, k]
RF1 = RF[1, k]
RC1 = IRA * RF1
Psi1 = RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k]
Psi2 = RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k]
# Hx
materialHx = ID[3, ii, jj, kk]
dEy = (Ey[ii, jj, kk + 1] - Ey[ii, jj, kk]) / dz
Hx[ii, jj, kk] = Hx[ii, jj, kk] + updatecoeffsH[materialHx, 4] * (IRA1 * dEy - IRA * Psi1)
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] + RC1 * (dEy - Psi1)
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] + RC0 * (dEy - Psi1)
# Hy
materialHy = ID[4, ii, jj, kk]
dEx = (Ex[ii, jj, kk + 1] - Ex[ii, jj, kk]) / dz
Hy[ii, jj, kk] = Hy[ii, jj, kk] - updatecoeffsH[materialHy, 4] * (IRA1 * dEx - IRA * Psi2)
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] + RC1 * (dEx - Psi2)
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] + RC0 * (dEx - Psi2)
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