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# -*- coding: utf-8 -*-
##############################################################################
#
# Copyright (c) 2003-2018 by The University of Queensland
# http://www.uq.edu.au
#
# Primary Business: Queensland, Australia
# Licensed under the Apache License, version 2.0
# http://www.apache.org/licenses/LICENSE-2.0
#
# Development until 2012 by Earth Systems Science Computational Center (ESSCC)
# Development 2012-2013 by School of Earth Sciences
# Development from 2014 by Centre for Geoscience Computing (GeoComp)
#
##############################################################################
from __future__ import print_function, division
__copyright__="""Copyright (c) 2003-2018 by The University of Queensland
http://www.uq.edu.au
Primary Business: Queensland, Australia"""
__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
"""
Test suite for nonlinearPDEs class
"""
__author__="Jaco du Plessis"
from esys.escript import NonlinearPDE, Symbol, whereZero, grad, sin, cos, symmetric, matrixmult, FunctionOnBoundary, hasFeature
import numpy
import esys.escriptcore.utestselect as unittest
from esys.escript.linearPDEs import IllegalCoefficient,IllegalCoefficientValue
import numpy as np
from esys.escript.pdetools import Locator
if hasFeature("sympy"):
sympyavail=True
else:
sympyavail=False
class Test_nonLinearPDEs(unittest.TestCase):
DEBUG=False
VERBOSE=False
@unittest.skipIf(not sympyavail, 'sympy not available')
class Test_nlpde(Test_nonLinearPDEs):
def test_run(self):
#test just to confirm nlpde works
u=Symbol('u', dim=self.domain.getDim())
nlpde = NonlinearPDE(self.domain, u)
x=self.domain.getX()
gammaD=whereZero(x[0])+whereZero(x[1])
nlpde.setValue(X=grad(u), Y=5*u, q=gammaD, r=1)
v=nlpde.getSolution(u=1)
def test_setVals1eq(self):
#test setting Coefficients with 1 equation
dim=self.domain.getDim()
u=Symbol('u', dim=dim)
nlpde = NonlinearPDE(self.domain, u)
x=self.domain.getX()
gammaD=whereZero(x[0])+whereZero(x[1])
nlpde.setValue(X=grad(u), Y=5*u, q=gammaD, r=1)
A=nlpde.getCoefficient("A")
B=nlpde.getCoefficient("B")
C=nlpde.getCoefficient("C")
D=nlpde.getCoefficient("D")
if dim==2:
ATest=numpy.empty((2,2), dtype=object)
ATest[0]=1,0
ATest[1]=0,1
BTest=numpy.empty((2,), dtype=object)
BTest[0]=0
BTest[1]=0
CTest=BTest
self.assertTrue(A-ATest==Symbol(numpy.zeros((2,2))))
self.assertTrue(B-BTest==Symbol(numpy.zeros((2,))))
self.assertTrue(C-CTest==Symbol(numpy.zeros((2,))))
temp=Symbol('temp')
self.assertTrue(D-temp.subs(temp,5)==temp.subs(temp,0))
else:
ATest=numpy.empty((3,3), dtype=object)
ATest[0]=1,0,0
ATest[1]=0,1,0
ATest[2]=0,0,1
BTest=numpy.empty((3,), dtype=object)
BTest[0]=0
BTest[1]=0
BTest[2]=0
CTest=BTest
self.assertTrue(A-ATest==Symbol(numpy.zeros((3,3))))
self.assertTrue(B-BTest==Symbol(numpy.zeros((3,))))
self.assertTrue(C-CTest==Symbol(numpy.zeros((3,))))
temp=Symbol('temp')
self.assertTrue(D-temp.subs(temp,5)==temp.subs(temp,0))
def test_setVals2eq(self):
#test setting Coefficients with 2 coeficients
dim=self.domain.getDim()
u = Symbol('u',(2,), dim=dim)
q = Symbol('q', (2,2))
nlpde = NonlinearPDE(self.domain, u, debug=0)
x = self.domain.getX()
gammaD=whereZero(x[1])*[1,1]#+whereZero(x[0])*[1,0]+whereZero(x[0]-1)*[1,0]
yconstraint = FunctionOnBoundary(self.domain).getX()[1]
nlpde.setValue(X=grad(u),q=gammaD,Y=[-50,-50]*u)
A=nlpde.getCoefficient("A")
B=nlpde.getCoefficient("B")
C=nlpde.getCoefficient("C")
D=nlpde.getCoefficient("D")
if dim==2:
ATest=numpy.empty((2,2,2,2),dtype=object)
ATest[0]=(((1,0),(0,0)),((0,1),(0,0)))
ATest[1]=(((0,0),(1,0)),((0,0),(0,1)))
BTest=numpy.empty((2,2,2),dtype=object)
BTest[0]=0
BTest[1]=0
CTest=BTest
DTest=numpy.empty((2,2),dtype=object)
DTest[0]=(-50,0)
DTest[1]=(0,-50)
self.assertTrue(numpy.ndarray.__eq__(ATest, A).all())
self.assertTrue(numpy.ndarray.__eq__(BTest, B).all())
self.assertTrue(numpy.ndarray.__eq__(CTest, C).all())
self.assertTrue(numpy.ndarray.__eq__(DTest, D).all())
else:
ATest=numpy.empty((2,3,2,3),dtype=object)
ATest[0]=(((1,0,0),(0,0,0)),((0,1,0),(0,0,0)),((0,0,1),(0,0,0)))
ATest[1]=(((0,0,0),(1,0,0)),((0,0,0),(0,1,0)),((0,0,0),(0,0,1)))
#ATest[1]=(((0,0,1),(1,0,0)),((0,0),(0,1)))
BTest=numpy.empty((2,3,2),dtype=object)
BTest[0]=0
BTest[1]=0
CTest=numpy.empty((2,2,3),dtype=object)
CTest[0]=0
CTest[1]=0
DTest=numpy.empty((2,2),dtype=object)
DTest[0]=(-50,0)
DTest[1]=(0,-50)
self.assertTrue(numpy.ndarray.__eq__(BTest, B).all())
self.assertTrue(numpy.ndarray.__eq__(CTest, C).all())
self.assertTrue(numpy.ndarray.__eq__(DTest, D).all())
def test_DimAndShape1eq(self):
dim=self.domain.getDim()
if dim==3:
u = Symbol('u', dim=2)
else:
u = Symbol('u', dim=3)
nlpde = NonlinearPDE(self.domain, u, debug=0)
args=dict(X=grad(u), Y=5*u)
self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
u = Symbol('u', dim=dim)
args=dict(X=u, Y=5*u)
self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
args=dict(X=grad(u), Y=5*grad(u))
self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
#args=dict(q=u)
#self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
def test_DimAndShape2eq(self):
dim=self.domain.getDim()
u = Symbol('u',(2,), dim=dim)
nlpde = NonlinearPDE(self.domain, u, debug=0)
args=dict(X=grad(u), Y=5*u[0])
self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
args=dict(X=grad(u[0]), Y=5*u)
self.assertRaises(IllegalCoefficientValue, nlpde.setValue,**args)
def test_setUnknownPeram(self):
dim=self.domain.getDim()
u = Symbol('u',(2,), dim=dim)
nlpde = NonlinearPDE(self.domain, u, debug=0)
args=dict(k=0,f=8)
self.assertRaises(IllegalCoefficient,nlpde.setValue,**args)
def test_yDirection(self):
dim=self.domain.getDim()
if dim==3:
return
u = Symbol('u',(2,), dim=dim)
q = Symbol('q', (2,2))
theta = Symbol('theta')
theta=3.141/6
q[0,0]=cos(theta)
q[0,1]=-sin(theta)
q[1,0]=sin(theta)
q[1,1]=cos(theta)
sigma = Symbol('sigma',(2,2))
p = NonlinearPDE(self.domain, u, debug=0)
epsilon = symmetric(grad(u))
# epsilon = matrixmult(matrixmult(q,epsilon0),q.transpose(1))
c00=10;c01=8;c05=0
c01=8;c11=10;c15=0
c05=0;c15=0;c55=1
sigma[0,0]=c00*epsilon[0,0]+c01*epsilon[1,1]+c05*2*epsilon[1,0]
sigma[1,1]=c01*epsilon[0,0]+c11*epsilon[1,1]+c15*2*epsilon[1,0]
sigma[0,1]=c05*epsilon[0,0]+c15*epsilon[1,1]+c55*2*epsilon[1,0]
sigma[1,0]=sigma[0,1]
# sigma0=matrixmult(matrixmult(q.transpose(1),epsilon),q)
x = self.domain.getX()
gammaD=whereZero(x[1])*[1,1]#+whereZero(x[0])*[1,0]+whereZero(x[0]-1)*[1,0]
yconstraint = FunctionOnBoundary(self.domain).getX()[1]
p.setValue(X=sigma,q=gammaD,y=[-50,0]*whereZero(yconstraint-1),r=[1,1])
v = p.getSolution(u=[0,0])
x=np.ndarray((2,))
x[0]=0.5
x[1]=0.5
loc=Locator(v.getFunctionSpace(),x)
valAtX=loc(v)
self.assertTrue(valAtX[0]>10*valAtX[1])
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