mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-28 04:39:24 +08:00
Lindsey Heagy
59 lines
1.7 KiB
Python
59 lines
1.7 KiB
Python
from SimPEG import Mesh, Utils, np, SolverLU
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def run(plotIt=True):
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"""
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Mesh: Basic Forward 2D DC Resistivity
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=====================================
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2D DC forward modeling example with Tensor and Curvilinear Meshes
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"""
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# Step1: Generate Tensor and Curvilinear Mesh
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sz = [40,40]
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tM = Mesh.TensorMesh(sz)
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rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))
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# Step2: Direct Current (DC) operator
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def DCfun(mesh, pts):
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D = mesh.faceDiv
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sigma = 1e-2*np.ones(mesh.nC)
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MsigI = mesh.getFaceInnerProduct(sigma, invProp=True, invMat=True)
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A = -D*MsigI*D.T
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A[-1,-1] /= mesh.vol[-1] # Remove null space
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rhs = np.zeros(mesh.nC)
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txind = Utils.meshutils.closestPoints(mesh, pts)
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rhs[txind] = np.r_[1,-1]
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return A, rhs
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pts = np.vstack((np.r_[0.25, 0.5], np.r_[0.75, 0.5]))
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#Step3: Solve DC problem (LU solver)
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AtM, rhstM = DCfun(tM, pts)
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AinvtM = SolverLU(AtM)
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phitM = AinvtM*rhstM
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ArM, rhsrM = DCfun(rM, pts)
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AinvrM = SolverLU(ArM)
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phirM = AinvrM*rhsrM
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if not plotIt: return
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import matplotlib.pyplot as plt
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#Step4: Making Figure
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fig, axes = plt.subplots(1,2,figsize=(12*1.2,4*1.2))
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vmin, vmax = phitM.min(), phitM.max()
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dat = tM.plotImage(phitM, ax=axes[0], clim=(vmin, vmax), grid=True)
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dat = rM.plotImage(phirM, ax=axes[1], clim=(vmin, vmax), grid=True)
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cb = plt.colorbar(dat[0], ax=axes[0]); cb.set_label("Voltage (V)")
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cb = plt.colorbar(dat[0], ax=axes[1]); cb.set_label("Voltage (V)")
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axes[0].set_title('TensorMesh')
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axes[1].set_title('CurvilinearMesh')
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plt.show()
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if __name__ == '__main__':
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run()
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