mirror of
https://github.com/wassname/simpeg.git
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Rowan Cockett
985d5b6469
Squashed commits: [ac5bb36] Bump version: 0.1.8 → 0.1.9 [8acd6b2] ImportException --> ImportError [ac410a8] matplotlib.pyplot has errors on import, put these in the functions that rely on them directly. [f128a20] Bump version: 0.1.6 → 0.1.7 [5866bea] Remove IPython utils. These are out of date, and have problems on Linux (without a proper visual backend). [a519e56] Bump version: 0.1.5 → 0.1.6 [f45aa83] Bump version: 0.1.4 → 0.1.5
78 lines
2.3 KiB
Python
78 lines
2.3 KiB
Python
from SimPEG import Mesh, Utils, np, SolverLU
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## 2D DC forward modeling example with Tensor and Curvilinear Meshes
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def run(plotIt=True):
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# Step1: Generate Tensor and Curvilinear Mesh
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sz = [40,40]
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# Tensor Mesh
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tM = Mesh.TensorMesh(sz)
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# Curvilinear Mesh
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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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G = D.T
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sigma = 1e-2*np.ones(mesh.nC)
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Msigi = mesh.getFaceInnerProduct(1./sigma)
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MsigI = Utils.sdInv(Msigi)
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A = D*MsigI*G
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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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import matplotlib
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from matplotlib.mlab import griddata
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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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label = ["(a)", "(b)"]
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opts = {}
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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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#TODO: At the moment Curvilinear Mesh do not have plotimage
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Xi = tM.gridCC[:,0].reshape(sz[0], sz[1], order='F')
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Yi = tM.gridCC[:,1].reshape(sz[0], sz[1], order='F')
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PHIrM = griddata(rM.gridCC[:,0], rM.gridCC[:,1], phirM, Xi, Yi, interp='linear')
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axes[1].contourf(Xi, Yi, PHIrM, 100, vmin=vmin, vmax=vmax)
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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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tM.plotGrid(ax=axes[0], **opts)
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axes[0].set_title('TensorMesh')
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rM.plotGrid(ax=axes[1], **opts)
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axes[1].set_title('CurvilinearMesh')
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for i in range(2):
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axes[i].set_xlim(0.025, 0.975)
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axes[i].set_ylim(0.025, 0.975)
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axes[i].text(0., 1.0, label[i], fontsize=20)
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if i==0:
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axes[i].set_ylabel("y")
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else:
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axes[i].set_ylabel(" ")
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axes[i].set_xlabel("x")
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plt.show()
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if __name__ == '__main__':
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run()
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