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tamaas/tests/test_integral_operators.py
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test_integral_operators.py
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#!/usr/bin/env python
# coding: utf-8
# -----------------------------------------------------------------------------
# @author Lucas Frérot <lucas.frerot@epfl.ch>
#
# @section LICENSE
#
# Copyright (©) 2016 EPFL (Ecole Polytechnique Fédérale de
# Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
# Solides)
#
# Tamaas is free software: you can redistribute it and/or modify it under the
# terms of the GNU Lesser General Public License as published by the Free
# Software Foundation, either version 3 of the License, or (at your option) any
# later version.
#
# Tamaas 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 Lesser General Public License for more
# details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
# -----------------------------------------------------------------------------
import tamaas as tm
import numpy as np
import matplotlib.pyplot as plt
from pyevtk.hl import gridToVTK
def dumpGrid(name, coords, field, func=lambda x: x):
field_vtk = [np.zeros([coords[i].shape[0] for i in range(3)]) for j in range(3)]
for i in range(3):
field_vtk[i][:, :, :] = func(field[:, :, :, i])
gridToVTK(name,
*coords,
pointData={
'X':field_vtk[0],
'Y':field_vtk[1],
'Z':field_vtk[2],
})
N = 27
domain = np.array([1.] * 3)
omega = 2 * np.pi * np.array([1, 1]) / domain[:2]
discretization = [N] * 3
coords = [np.linspace(0, domain[i], discretization[i]) for i in range(3)]
x = coords[1]
y = coords[2]
x, y = np.meshgrid(x, y)
model = tm.ModelFactory.createModel(tm.model_type.volume_2d,
domain,
discretization)
displacement = model.getDisplacement()
engine = tm._tamaas._test_features.Kelvin(model)
source = np.zeros_like(displacement)
source[N//2, :, :, 2] = np.sin(omega[0]*x) * np.sin(omega[1]*y)
print("Starting computation")
engine.applyVolumeForcePotential(source, displacement)
print("End computation")
dumpGrid('kelvin', coords, displacement, lambda x: np.einsum('ijk->jki', x))
dumpGrid('source', coords, source, lambda x: np.einsum('ijk->jki', x))
plt.imshow(displacement[:, 4, :, 2])
plt.colorbar()
#plt.show()
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