Files
simpeg/SimPEG/tests/test_operators.py
T

145 lines
3.5 KiB
Python

import numpy as np
import unittest
import sys
sys.path.append('../')
from OrderTest import OrderTest
MESHTYPES = ['uniformTensorMesh', 'uniformLOM'] # , 'rotateLOM'
class TestCurl(OrderTest):
name = "Curl"
meshTypes = MESHTYPES
def getError(self):
fun = lambda x: np.cos(x) # i (cos(y)) + j (cos(z)) + k (cos(x))
sol = lambda x: np.sin(x) # i (sin(z)) + j (sin(x)) + k (sin(y))
Ex = fun(self.M.gridEx[:, 1])
Ey = fun(self.M.gridEy[:, 2])
Ez = fun(self.M.gridEz[:, 0])
E = np.concatenate((Ex, Ey, Ez))
Fx = sol(self.M.gridFx[:, 2])
Fy = sol(self.M.gridFy[:, 0])
Fz = sol(self.M.gridFz[:, 1])
curlE_anal = np.concatenate((Fx, Fy, Fz))
# Generate DIV matrix
CURL = self.M.edgeCurl
curlE = CURL*E
err = np.linalg.norm((curlE-curlE_anal), np.inf)
return err
def test_order(self):
self.orderTest()
class TestFaceDiv(OrderTest):
name = "Face Divergence"
meshTypes = MESHTYPES
def getError(self):
DIV = self.M.faceDiv
#Test function
fun = lambda x: np.sin(x)
Fx = fun(self.M.gridFx[:, 0])
Fy = fun(self.M.gridFy[:, 1])
Fz = fun(self.M.gridFz[:, 2])
F = np.concatenate((Fx, Fy, Fz))
divF = DIV*F
sol = lambda x, y, z: (np.cos(x)+np.cos(y)+np.cos(z))
divF_anal = sol(self.M.gridCC[:, 0], self.M.gridCC[:, 1], self.M.gridCC[:, 2])
err = np.linalg.norm((divF-divF_anal), np.inf)
return err
def test_order(self):
self.orderTest()
class TestFaceDiv2D(OrderTest):
name = "Face Divergence 2D"
meshTypes = MESHTYPES
meshDimension = 2
def getError(self):
DIV = self.M.faceDiv
#Test function
fun = lambda x: np.sin(x)
Fx = fun(self.M.gridFx[:, 0])
Fy = fun(self.M.gridFy[:, 1])
F = np.concatenate((Fx, Fy))
divF = DIV*F
sol = lambda x, y: (np.cos(x)+np.cos(y))
divF_anal = sol(self.M.gridCC[:, 0], self.M.gridCC[:, 1])
err = np.linalg.norm((divF-divF_anal), np.inf)
return err
def test_order(self):
self.orderTest()
class TestNodalGrad(OrderTest):
name = "Nodal Gradient"
meshTypes = MESHTYPES
def getError(self):
GRAD = self.M.nodalGrad
#Test function
fun = lambda x, y, z: (np.cos(x)+np.cos(y)+np.cos(z))
sol = lambda x: -np.sin(x) # i (sin(x)) + j (sin(y)) + k (sin(z))
phi = fun(self.M.gridN[:, 0], self.M.gridN[:, 1], self.M.gridN[:, 2])
gradE = GRAD*phi
Ex = sol(self.M.gridEx[:, 0])
Ey = sol(self.M.gridEy[:, 1])
Ez = sol(self.M.gridEz[:, 2])
gradE_anal = np.concatenate((Ex, Ey, Ez))
err = np.linalg.norm((gradE-gradE_anal), np.inf)
return err
def test_order(self):
self.orderTest()
class TestNodalGrad2D(OrderTest):
name = "Nodal Gradient 2D"
meshTypes = MESHTYPES
meshDimension = 2
def getError(self):
GRAD = self.M.nodalGrad
#Test function
fun = lambda x, y: (np.cos(x)+np.cos(y))
sol = lambda x: -np.sin(x) # i (sin(x)) + j (sin(y)) + k (sin(z))
phi = fun(self.M.gridN[:, 0], self.M.gridN[:, 1])
gradE = GRAD*phi
Ex = sol(self.M.gridEx[:, 0])
Ey = sol(self.M.gridEy[:, 1])
gradE_anal = np.concatenate((Ex, Ey))
err = np.linalg.norm((gradE-gradE_anal), np.inf)
return err
def test_order(self):
self.orderTest()
if __name__ == '__main__':
unittest.main()