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tamaas/tests/test_boussinesq_surface.py
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test_boussinesq_surface.py
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#!/usr/bin/env python3
# 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 numpy as np
import tamaas as tm
from numpy.linalg import norm
def test_boussinesq_surface(tamaas_fixture):
# Definition of modeled domain
model_type = tm.model_type.volume_2d
discretization = [2, 128, 128]
system_size = [1., 1., 1.]
x, y = [np.linspace(0, size, n, endpoint=False)
for size, n in zip(system_size[1:], discretization[1:])]
xx, yy = np.meshgrid(x, y, sparse=True)
tractions = np.zeros(discretization[1:] + [3])
for i in range(3):
omega = np.random.randint(1, 20, (2,)) * 2 * np.pi
tractions[:, :, i] = np.cos(omega[0]*xx)*np.cos(omega[1]*yy)
# Material contants
E = 1. # Young's modulus
nu = 0.3 # Poisson's ratio
# Creation of model
model_vol = tm.ModelFactory.createModel(model_type,
system_size,
discretization)
model_surf = tm.ModelFactory.createModel(tm.model_type.surface_2d,
[1, 1],
tractions.shape[:-1])
model_vol.E = E
model_vol.nu = nu
model_surf.E = E
model_surf.nu = nu
# Setup for integral operators
tm.ModelFactory.createResidual(model_vol, 0, 0)
# Pressure definition
model_vol.getTraction()[...] = tractions
model_surf.getTraction()[...] = tractions
model_surf.solveNeumann()
# Applying operator
boussinesq = model_vol.getIntegralOperator("boussinesq")
boussinesq.apply(model_vol.getTraction(), model_vol.getDisplacement())
# # Dumper
# dumper_helper = UVWDumper(residual, args.name)
# model.setDumper(dumper_helper)
# model.dump()
# print("Done")
for i in range(3):
error = norm(model_vol.getDisplacement()[0, :, :, i]
- model_surf.getDisplacement()[:, :, i]) \
/ norm(tractions[:, :, i])
assert error < 1e-16
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