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#!/usr/bin/env python
# Copyright 2019-2021 Yinjian Zhao
#
# This file is part of WarpX.
#
# License: BSD-3-Clause-LBNL
# This script tests the embedded boundary in RZ.
# A cylindrical surface (r=0.1) has a fixed potential 1 V.
# The outer surface has 0 V fixed.
# Thus the analytical solution has the form:
# phi(r) = A+B*log(r), Er(r) = -B/r.
# Possible errors:
# tolerance: 0.004
# Possible running time: < 1 s
import os
import sys
import numpy as np
import yt
sys.path.insert(1, '../../../../warpx/Regression/Checksum/')
import checksumAPI
tolerance = 0.004
fn = sys.argv[1]
ds = yt.load( fn )
all_data_level_0 = ds.covering_grid(level=0,left_edge=ds.domain_left_edge, dims=ds.domain_dimensions)
phi = all_data_level_0['boxlib', 'phi'].v.squeeze()
Er = all_data_level_0['boxlib', 'Ex'].v.squeeze()
Dx = ds.domain_width/ds.domain_dimensions
dr = Dx[0]
rmin = ds.domain_left_edge[0]
rmax = ds.domain_right_edge[0]
nr = phi.shape[0]
r = np.linspace(rmin+dr/2.,rmax-dr/2.,nr)
B = 1.0/np.log(0.1/0.5)
A = -B*np.log(0.5)
err = 0.0
errmax_phi = 0.0
errmax_Er = 0.0
for i in range(len(r)):
if r[i]>=0.1:
phi_theory = A+B*np.log(r[i])
Er_theory = -B/float(r[i])
err = abs( phi_theory - phi[i,:] ).max() / phi_theory
if err>errmax_phi:
errmax_phi = err
err = abs( Er_theory - Er[i,:] ).max() / Er_theory
# Exclude the last inaccurate interpolation.
if err>errmax_Er and i<len(r)-1:
errmax_Er = err
print('max error of phi = ', errmax_phi)
print('max error of Er = ', errmax_Er)
print('tolerance = ', tolerance)
assert(errmax_phi<tolerance and errmax_Er<tolerance)
test_name = os.path.split(os.getcwd())[1]
checksumAPI.evaluate_checksum(test_name, fn, do_particles=False)
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