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https://github.com/wassname/simpeg.git
synced 2026-06-27 18:25:42 +08:00
Use LocTypeTo to allow interpolation to different grid locations
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@@ -350,7 +350,7 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
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if locType == 'E':
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X = self.getInterpolationMatCartMesh(Mrect, locType='Ex', locTypeTo=locTypeTo+'x')
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Y = self.getInterpolationMatCartMesh(Mrect, locType='Ey', locTypeTo=locTypeTo+'y')
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Z = spzeros(Mrect.nEz, self.nE)
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Z = spzeros(getattr(Mrect, 'n' + locTypeTo + 'z'), self.nE)
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return sp.vstack((X,Y,Z))
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grid = getattr(Mrect, 'grid' + locTypeTo)
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@@ -146,6 +146,20 @@ class TestCyl2DMesh(unittest.TestCase):
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assert np.abs(Pr*(Pc2r*mc) - Pc*mc).max() < 1e-3
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def test_getInterpMatCartMesh_Cells2Nodes(self):
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Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
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Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
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mc = np.arange(Mc.nC)
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xr = np.linspace(0,0.4,50)
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xc = np.linspace(0,0.4,50) + 0.2
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Pr = Mr.getInterpolationMat(np.c_[xr,np.ones(50)*-0.2,np.ones(50)*0.5],'N')
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Pc = Mc.getInterpolationMat(np.c_[xc,np.zeros(50),np.ones(50)*0.5],'CC')
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Pc2r = Mc.getInterpolationMatCartMesh(Mr, 'CC', locTypeTo='N')
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assert np.abs(Pr*(Pc2r*mc) - Pc*mc).max() < 1e-3
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def test_getInterpMatCartMesh_Faces(self):
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Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
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@@ -177,6 +191,37 @@ class TestCyl2DMesh(unittest.TestCase):
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assert np.abs(mag[dist > 0.1].min() - 1) < TOL
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def test_getInterpMatCartMesh_Faces2Edges(self):
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Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
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Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
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Pf2e = Mc.getInterpolationMatCartMesh(Mr, 'F', locTypeTo='E')
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mf = np.ones(Mc.nF)
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ecart = Pf2e * mf
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excc = Mr.aveEx2CC*Mr.r(ecart, 'E', 'Ex')
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eycc = Mr.aveEy2CC*Mr.r(ecart, 'E', 'Ey')
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ezcc = Mr.r(ecart, 'E', 'Ez')
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indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
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indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
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TOL = 1e-2
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assert np.abs(float(excc[indX]) - 1) < TOL
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assert np.abs(float(excc[indY]) - 0) < TOL
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assert np.abs(float(eycc[indX]) - 0) < TOL
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assert np.abs(float(eycc[indY]) - 1) < TOL
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assert np.abs((ezcc - 1).sum()) < TOL
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mag = (excc**2 + eycc**2)**0.5
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dist = ((Mr.gridCC[:,0] + 0.2)**2 + (Mr.gridCC[:,1] + 0.2)**2)**0.5
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assert np.abs(mag[dist > 0.1].max() - 1) < TOL
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assert np.abs(mag[dist > 0.1].min() - 1) < TOL
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def test_getInterpMatCartMesh_Edges(self):
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Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
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@@ -185,11 +230,42 @@ class TestCyl2DMesh(unittest.TestCase):
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Pe = Mc.getInterpolationMatCartMesh(Mr, 'E')
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me = np.ones(Mc.nE)
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erect = Pe * me
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ecart = Pe * me
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excc = Mr.aveEx2CC*Mr.r(erect, 'E', 'Ex')
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eycc = Mr.aveEy2CC*Mr.r(erect, 'E', 'Ey')
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ezcc = Mr.r(erect, 'E', 'Ez')
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excc = Mr.aveEx2CC*Mr.r(ecart, 'E', 'Ex')
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eycc = Mr.aveEy2CC*Mr.r(ecart, 'E', 'Ey')
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ezcc = Mr.aveEz2CC*Mr.r(ecart, 'E', 'Ez')
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indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
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indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
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TOL = 1e-2
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assert np.abs(float(excc[indX]) - 0) < TOL
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assert np.abs(float(excc[indY]) + 1) < TOL
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assert np.abs(float(eycc[indX]) - 1) < TOL
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assert np.abs(float(eycc[indY]) - 0) < TOL
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assert np.abs(ezcc.sum()) < TOL
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mag = (excc**2 + eycc**2)**0.5
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dist = ((Mr.gridCC[:,0] + 0.2)**2 + (Mr.gridCC[:,1] + 0.2)**2)**0.5
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assert np.abs(mag[dist > 0.1].max() - 1) < TOL
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assert np.abs(mag[dist > 0.1].min() - 1) < TOL
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def test_getInterpMatCartMesh_Edges2Faces(self):
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Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
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Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
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Pe2f = Mc.getInterpolationMatCartMesh(Mr, 'E', locTypeTo='F')
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me = np.ones(Mc.nE)
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frect = Pe2f * me
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excc = Mr.aveFx2CC*Mr.r(frect, 'F', 'Fx')
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eycc = Mr.aveFy2CC*Mr.r(frect, 'F', 'Fy')
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ezcc = Mr.r(frect, 'F', 'Fz')
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indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
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indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
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