mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-29 00:39:55 +08:00
Rowan Cockett
161 lines
4.9 KiB
Python
161 lines
4.9 KiB
Python
import numpy as np
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import unittest
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from TestUtils import OrderTest
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MESHTYPES = ['uniformTensorMesh', 'uniformLOM', 'rotateLOM']
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call2 = lambda fun, xyz: fun(xyz[:, 0], xyz[:, 1])
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call3 = lambda fun, xyz: fun(xyz[:, 0], xyz[:, 1], xyz[:, 2])
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cart_row2 = lambda g, xfun, yfun: np.c_[call2(xfun, g), call2(yfun, g)]
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cart_row3 = lambda g, xfun, yfun, zfun: np.c_[call3(xfun, g), call3(yfun, g), call3(zfun, g)]
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cartF2 = lambda M, fx, fy: np.vstack((cart_row2(M.gridFx, fx, fy), cart_row2(M.gridFy, fx, fy)))
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cartE2 = lambda M, ex, ey: np.vstack((cart_row2(M.gridEx, ex, ey), cart_row2(M.gridEy, ex, ey)))
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cartF3 = lambda M, fx, fy, fz: np.vstack((cart_row3(M.gridFx, fx, fy, fz), cart_row3(M.gridFy, fx, fy, fz), cart_row3(M.gridFz, fx, fy, fz)))
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cartE3 = lambda M, ex, ey, ez: np.vstack((cart_row3(M.gridEx, ex, ey, ez), cart_row3(M.gridEy, ex, ey, ez), cart_row3(M.gridEz, ex, ey, ez)))
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class TestCurl(OrderTest):
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name = "Curl"
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meshTypes = MESHTYPES
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def getError(self):
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# fun: i (cos(y)) + j (cos(z)) + k (cos(x))
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# sol: i (sin(z)) + j (sin(x)) + k (sin(y))
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funX = lambda x, y, z: np.cos(2*np.pi*y)
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funY = lambda x, y, z: np.cos(2*np.pi*z)
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funZ = lambda x, y, z: np.cos(2*np.pi*x)
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solX = lambda x, y, z: 2*np.pi*np.sin(2*np.pi*z)
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solY = lambda x, y, z: 2*np.pi*np.sin(2*np.pi*x)
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solZ = lambda x, y, z: 2*np.pi*np.sin(2*np.pi*y)
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Ec = cartE3(self.M, funX, funY, funZ)
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E = self.M.projectEdgeVector(Ec)
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Fc = cartF3(self.M, solX, solY, solZ)
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curlE_anal = self.M.projectFaceVector(Fc)
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curlE = self.M.edgeCurl.dot(E)
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if self._meshType == 'rotateLOM':
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# Really it is the integration we should be caring about:
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# So, let us look at the l2 norm.
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err = np.linalg.norm(self.M.area*(curlE - curlE_anal), 2)
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else:
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err = np.linalg.norm((curlE - curlE_anal), np.inf)
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return err
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def test_order(self):
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self.orderTest()
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class TestFaceDiv(OrderTest):
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name = "Face Divergence"
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meshTypes = MESHTYPES
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meshSizes = [8, 16, 32]
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def getError(self):
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#Test function
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fx = lambda x, y, z: np.sin(2*np.pi*x)
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fy = lambda x, y, z: np.sin(2*np.pi*y)
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fz = lambda x, y, z: np.sin(2*np.pi*z)
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sol = lambda x, y, z: (2*np.pi*np.cos(2*np.pi*x)+2*np.pi*np.cos(2*np.pi*y)+2*np.pi*np.cos(2*np.pi*z))
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Fc = cartF3(self.M, fx, fy, fz)
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F = self.M.projectFaceVector(Fc)
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divF = self.M.faceDiv.dot(F)
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divF_anal = call3(sol, self.M.gridCC)
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if self._meshType == 'rotateLOM':
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# Really it is the integration we should be caring about:
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# So, let us look at the l2 norm.
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err = np.linalg.norm(self.M.vol*(divF-divF_anal), 2)
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else:
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err = np.linalg.norm((divF-divF_anal), np.inf)
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return err
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def test_order(self):
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self.orderTest()
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class TestFaceDiv2D(OrderTest):
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name = "Face Divergence 2D"
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meshTypes = MESHTYPES
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meshDimension = 2
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meshSizes = [8, 16, 32, 64]
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def getError(self):
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#Test function
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fx = lambda x, y: np.sin(2*np.pi*x)
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fy = lambda x, y: np.sin(2*np.pi*y)
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sol = lambda x, y: 2*np.pi*(np.cos(2*np.pi*x)+np.cos(2*np.pi*y))
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Fc = cartF2(self.M, fx, fy)
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F = self.M.projectFaceVector(Fc)
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divF = self.M.faceDiv.dot(F)
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divF_anal = call2(sol, self.M.gridCC)
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err = np.linalg.norm((divF-divF_anal), np.inf)
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return err
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def test_order(self):
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self.orderTest()
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class TestNodalGrad(OrderTest):
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name = "Nodal Gradient"
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meshTypes = MESHTYPES
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def getError(self):
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#Test function
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fun = lambda x, y, z: (np.cos(x)+np.cos(y)+np.cos(z))
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# i (sin(x)) + j (sin(y)) + k (sin(z))
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solX = lambda x, y, z: -np.sin(x)
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solY = lambda x, y, z: -np.sin(y)
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solZ = lambda x, y, z: -np.sin(z)
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phi = call3(fun, self.M.gridN)
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gradE = self.M.nodalGrad.dot(phi)
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Ec = cartE3(self.M, solX, solY, solZ)
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gradE_anal = self.M.projectEdgeVector(Ec)
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err = np.linalg.norm((gradE-gradE_anal), np.inf)
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return err
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def test_order(self):
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self.orderTest()
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class TestNodalGrad2D(OrderTest):
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name = "Nodal Gradient 2D"
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meshTypes = MESHTYPES
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meshDimension = 2
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def getError(self):
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#Test function
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fun = lambda x, y: (np.cos(x)+np.cos(y))
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# i (sin(x)) + j (sin(y)) + k (sin(z))
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solX = lambda x, y: -np.sin(x)
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solY = lambda x, y: -np.sin(y)
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phi = call2(fun, self.M.gridN)
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gradE = self.M.nodalGrad.dot(phi)
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Ec = cartE2(self.M, solX, solY)
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gradE_anal = self.M.projectEdgeVector(Ec)
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err = np.linalg.norm((gradE-gradE_anal), np.inf)
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return err
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def test_order(self):
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self.orderTest()
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if __name__ == '__main__':
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unittest.main()
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