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simpeg/simpegPF/notebooks/MagForward_total.ipynb
T
2014-02-23 11:57:51 -08:00

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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from SimPEG import *\n",
"from MagAnalytics import spheremodel, MagSphereAnalFun, CongruousMagBC, MagSphereAnalFunA\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Warning: Python backend is being used for solver. Run setup.py from the command line.\n",
"Warning: mumps solver not available.\n",
"Warning: upgrade your scipy to 0.13.0"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Writing magnetostatic problem with total field formulation\n",
"\n",
"## - Here we focus on cell-centered system with FVM-Weak form"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step:1 Generating mesh and operators"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hxind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
"hyind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
"hzind = ((5,25,1.3),(40, 12.5),(1,25,1.3))\n",
"hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)\n",
"M3 = Mesh.TensorMesh([hx, hy, hz], [-sum(hx)/2,-sum(hy)/2,-sum(hz)/2])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step2: Compute Boundary indicies and set $\\mathbf{B}_{bc}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"BC = [['neumann', 'neumann'], ['neumann', 'neumann'], ['neumann', 'neumann']]\n",
"indxd, indxu, indyd, indyu, indzd, indzu = M3.faceBoundaryInd\n",
"ind = np.r_[(indxd | indxu), (indyd | indyu), (indzd | indzu)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Box = 1 # Primary field in x-direction (background)\n",
"Boy = 0 # Primary field in y-direction (background)\n",
"Boz = 0 # Primary field in z-direction (background)\n",
"\n",
"Bbcx = np.zeros(np.prod(M3.nFx))\n",
"Bbcy = np.zeros(np.prod(M3.nFy))\n",
"Bbcz = np.zeros(np.prod(M3.nFz))\n",
"\n",
"Bbcx[indxd] = Box\n",
"Bbcx[indxu] = Box\n",
"Bbcy[indyd] = Boy\n",
"Bbcy[indyu] = Boy\n",
"Bbcz[indzd] = Boz\n",
"Bbcz[indzu] = Boz\n",
"\n",
"Bbc = np.r_[Bbcx, Bbcy, Bbcz]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step3: Generating model $\\mu$\n",
"\n",
"$\\mu = \\mu_0(1+\\chi)$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mu0 = 4*np.pi*1e-7\n",
"chibkg = 0.\n",
"chiblk = 0.01\n",
"chi = np.ones(M3.nC)*chibkg"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sph_ind = spheremodel(M3, 0, 0, 0, 100)\n",
"chi[sph_ind] = chiblk\n",
"mu = (1.+chi)*mu0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Bbc = Bbc[ind] + CongruousMagBC(M3, np.array([Box, Boy, Boz]), chi) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(10,10)\n",
"M3.plotGrid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.1.1189.win-x86_64\\lib\\site-packages\\matplotlib\\lines.py:483: RuntimeWarning: invalid value encountered in greater_equal\n",
" return np.alltrue(x[1:]-x[0:-1]>=0)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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v8Pl8IisrSxw6dKhQVZ3ff/eL9u2jKxGJiaYYN86q8FSvbohBg3SRkqKLK64w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WJ07NiR9PRgIvbEiRMpU6YMFSpUuC1DaFLw3ACqChUqmGzZEuDdd3XOn1do2tTJyJF2SpQQJCfD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\n1u65xLx5w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PHWW15RoIAh4uLSRWpqqoiLS8+0XvnyeqZtUlNTxY4daaJoUUO89ZZXFC+u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\nvw9SsaJ1QRcqBJs3q1SqZFKkiAgLJ7BS2B980E6jRiY7d15fxOzerbJ79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zsLFmhcuUK4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y7bfqPExEQSExNJSkoqUbFYCFE2EniEEFWSw+Fg9+7dJCUlsWvXLpo1a8bFixe5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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x57d1828>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"M3.plotImage(np.log10(mu), imageType='CC')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"<matplotlib.collections.QuadMesh at 0xaa7f390>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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AGEbBAgAAMIyCBQAAYBgFCwAAwDAKFgAAgGEULAAAAMMoWAAAAIZRsAAAAAyj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\nEREJxoJFREREJBgLFhEREZFg/w+en7T8iAv/xAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xa0f8ef0>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step4: get system matrix $\\mathbf{A}$ and right handside\n",
"#### 4.1 Backgrounds: Weak formulation for Poisson equation with cell-centered system\n",
"\n",
"$$\\nabla \\phi = \\frac{1}{\\mu}\\mathbf{B}$$\n",
"\n",
"$$\\nabla \\cdot \\mathbf{B} = q $$\n",
"\n",
"\n",
"$$ (\\phi)_{\\partial\\Omega} = \\phi_{BC}$$\n",
"or\n",
"$$ (\\mathbf{B}\\cdot{\\bar{\\mathbf{n}}})_{\\partial\\Omega} = B_{BC}$$\n",
"\n",
"In discretized form we have \n",
"\n",
"$$\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}\\mathbf{B} + \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{BC}= \\mathbf{diag(v)}q $$\n",
"\n",
"$$\\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B} = -\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}^T\\mathbf{diag(v)}\\phi + \\mathbf{P}_{BC}\\phi_{BC}$$\n",
"\n",
"$$\\mathbf{B} = (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}(-\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}\\mathbf{diag(v)}\\phi +\\mathbf{P}_{BC}\\phi_{BC})$$\n",
"\n",
"$$\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in} (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}(-\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}\\mathbf{diag(v)}\\phi +\\mathbf{P}_{BC}\\phi_{BC}) + \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{BC}= \\mathbf{diag(v)}q $$\n",
"\n",
"$$-\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in} (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}\\mathbf{diag(v)}\\phi = \\mathbf{diag(v)}q -\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in} (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{P}_{BC}\\phi_{BC} - \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{BC}$$\n",
"\n",
"$$\\mathbf{A} = -\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in} (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}\\mathbf{diag(v)}$$\n",
"\n",
"$$\\mathbf{rhs} = \\mathbf{diag(v)}q -\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in} (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{P}_{BC}\\phi_{BC} - \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{BC} $$\n",
"\n",
"In magnetostatic case we do not have $\\mathbf{q}$ and $\\phi_{BC}$ and with\n",
"\n",
"$$ \\mathbf{Div} = \\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}$$\n",
"\n",
"$$\\mathbf{A} = - D(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}D^{T}$$\n",
"\n",
"$$\\mathbf{rhs} = - \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{BC} $$\n",
"\n",
"$$\\mathbf{B} = (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}(-\\mathbf{Div}^{T}\\phi)$$\n",
"\n",
"### Things to remember\n",
"\n",
"- $\\mathbf{P}_{BC}$ contains $\\mathbf{diag}(\\mathbf{area}_{BC})$ and a weired projection matrix, which has some +1 and -1 ....\n",
"- Forward differential problem in weak form does not work well.., although inverse works really well\n",
"- Mesh.getFaceInnerProduct or Mesh.getFaceMass should be used since we integrate $(\\frac{1}{\\mu}\\mathbf{B}, \\mathbf{F})$ in the cell, which means we need averaging from faces to cell centers\n",
"- Weak formulation is a fancy representation of Finite Volume Approach. In terms of final system matrix \\mathbf{A} is going to be exactly same, I guess.."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Dface = M3.faceDiv\n",
"Pbc,Pin, Pout = M3.getBCProjWF(BC, discretization='CC')\n",
"Mc = Utils.sdiag(M3.vol)\n",
"D = Mc*Dface*Pin.T*Pin\n",
"MfmuI = Utils.sdiag(1/M3.getFaceInnerProduct(mu = 1/mu).diagonal())\n",
"A = -D*MfmuI*D.T\n",
"rhs = -Mc*Dface*Pout.T*Bbc"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# import petsc4py\n",
"# import sys\n",
"# from sys import getrefcount\n",
"# petsc4py.init(sys.argv)\n",
"# from petsc4py import PETSc\n",
"# import PETScIO as IO\n",
"# Apetsc = PETSc.Mat().createAIJ(size=A.shape,csr=(A.indptr, A.indices, A.data))\n",
"# bpetsc = IO.arrayToVec(rhs)\n",
"# xpetsc = IO.arrayToVec(0*rhs)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# u1 = PETSc.Vec().createSeq(M3.nC)\n",
"# u1.set(1)\n",
"# u1.normalize()\n",
"# basis = [u1]\n",
"# nullsp = PETSc.NullSpace().create(False, basis, comm=PETSc.COMM_SELF)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# %%time\n",
"# ksp = PETSc.KSP().create()\n",
"# pc = PETSc.PC().create()\n",
"# ksp.setOperators(Apetsc)\n",
"# ksp.setType(ksp.Type.BCGS)\n",
"# pc = ksp.getPC()\n",
"# pc.setType(pc.Type.SOR)\n",
"# OptDB = PETSc.Options()\n",
"# OptDB[\"ksp_rtol\"] = 1e-8\n",
"# OptDB[\"pc_factor_levels\"] = 1\n",
"# ksp.setFromOptions()\n",
"# ksp.view()\n",
"# ksp.solve(bpetsc, xpetsc)\n",
"# print ksp.its# print ksp.its\n",
"# phi = IO.vecToArray(xpetsc)\n",
"# print np.linalg.norm(A*phi-rhs)/norm(rhs)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%time\n",
"m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(-1/A.diagonal()))\n",
"phi, info = sp.linalg.bicgstab(A, rhs, tol=1e-6, maxiter = 1000, M =m1)\n",
"# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(np.sqrt(1/(Utils.mkvc(-A.diagonal())))))\n",
"# m2 = m1\n",
"# phi, info = sp.linalg.qmr(A, rhs, tol = 1e-5, M1 = m1, M2=m2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Wall time: 1.58 s\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print info\n",
"print M3.nC"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0\n",
"119646\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"B = -MfmuI*D.T*phi\n",
"rhsa = A*phi\n",
"print info\n",
"print np.linalg.norm(rhs-rhsa)/np.linalg.norm(rhs)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0\n",
"7.65372604673e-07\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### BICG, qmr or BICGstab with Jacobi preconditioner works well (scipy), minres does not work ... Need to play with some other iterative solvers. Remeber that our system has null-space, which is constant"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(16,5)\n",
"M3.plotImage(B, imageType='F')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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KnFqhSSGT3hRRxCp+DNmc+tKlfg2DGV0XuMB5zoekR4gOrpZYt3xSmflKzmxCk8wUwNuk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\nQHCO0xodwNaoSRAe0WhAh+pkRas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ARkYGM2bM4O23324V2vr160d6ejrTp08n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\n",
"text": [
"<matplotlib.figure.Figure at 0xaa72208>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step4: Compute analytic function (sphere in whole space)\n",
"Outside of the sphere $(r>R)$\n",
"\n",
"$$\\mathbf{H}_1 = H_0 \\hat{x} + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}[(2x^2-y^2-z^2)\\hat{x}+(3xy)\\hat{y}+(3xz)\\hat{z}]$$\n",
"\n",
"$$H_{x1} = H_0 + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(2x^2-y^2-z^2)$$\n",
"\n",
"$$H_{y1} = H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xy)$$\n",
"\n",
"$$H_{z1} = H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xz)$$\n",
"\n",
"Inside of the sphere $(r\\le R)$\n",
"\n",
"$$\\mathbf{H}_2 = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}\\hat{x}$$\n",
"\n",
"$$H_{x2} = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step5: Projection to receiver plane"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xr = np.linspace(-300, 300, 41)\n",
"yr = np.linspace(-300, 300, 41)\n",
"X, Y = np.meshgrid(xr, yr)\n",
"Z = np.ones((size(xr), size(yr)))*0."
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n",
"Qfx = M3.getInterpolationMat(rxLoc,'Fx')\n",
"Qfy = M3.getInterpolationMat(rxLoc,'Fy')\n",
"Qfz = M3.getInterpolationMat(rxLoc,'Fz')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Bxr = np.reshape(Qfx*B, (size(xr), size(yr)), order='F')\n",
"Byr = np.reshape(Qfy*B, (size(xr), size(yr)), order='F')\n",
"Bzr = np.reshape(Qfz*B, (size(xr), size(yr)), order='F')\n",
"H0 = Box/mu0\n",
"flag = 'secondary'\n",
"if flag=='secondary':\n",
" Bxr = Bxr-Box\n",
"\n",
"# Bxra, Byra, Bzra = MagSphereAnalFun(X, Y, Z, 100, 0., 0., 0., mu0, mu0*(1+chiblk), H0, flag)\n",
"Bxra, Byra, Bzra = MagSphereAnalFunA(X, Y, Z, 100., 0., 0., 0., chiblk, np.array([1., 0., 0.]), flag)\n",
"\n",
"Bxra = np.reshape(Bxra, (size(xr), size(yr)), order='F')\n",
"Byra = np.reshape(Byra, (size(xr), size(yr)), order='F')\n",
"Bzra = np.reshape(Bzra, (size(xr), size(yr)), order='F')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"100.0 kang\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figsize(10, 4)\n",
"plot(Utils.mkvc(Bxra))\n",
"plot(Utils.mkvc(Bxr), 'k:')\n",
"plot(Utils.mkvc(Byra))\n",
"plot(Utils.mkvc(Byr), 'k:')\n",
"plot(Utils.mkvc(Bzra))\n",
"plot(Utils.mkvc(Bzr), 'k:')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"[<matplotlib.lines.Line2D at 0xa11f550>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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T76W8/B0qKvT1mvV/TSd7cloikZwcZPAmkZxkJvvg8/nAaITk5OeJiIjWtN+8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\neBFJ3oQQQgghvMj/B1NBlg58/xE0AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1826c630>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = subplots(3,2, figsize = (10,15))\n",
"dat1 = ax[0,0].imshow(Bxr); fig.colorbar(dat1, ax=ax[0,0])\n",
"dat2 = ax[0,1].imshow(Bxra); fig.colorbar(dat2, ax=ax[0,1])\n",
"dat3 = ax[1,0].imshow(Byr); fig.colorbar(dat3, ax=ax[1,0])\n",
"dat4 = ax[1,1].imshow(Byra); fig.colorbar(dat4, ax=ax[1,1])\n",
"dat5 = ax[2,0].imshow(Bzr); fig.colorbar(dat5, ax=ax[2,0])\n",
"dat6 = ax[2,1].imshow(Bzra); fig.colorbar(dat6, ax=ax[2,1])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x000000001244C608>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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WSzHN2p8FWxkN2gMQ7PdmUvw17PEmyV8wMn8dPHgQCHsJvvbaazz11FMsLy8n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CFGNTUEhky5woF4GwfifqZiBxXF1e9ARo5XwmCV5WixeQYqi8lymyelImSckyyZJ2ETxoZOaHcN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VZWVlYfFy3zW3X3/MTpHrpzf0jmA5yzZfdLoPPbXr1sCodM+ckPxXxp+QxquvTL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\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aR0x2dR7xUW/sIkzvP3tCK1ZkvYyPXcdcX7N2ocFgMHQ8XSuyGmXjnmtrkkgIkvAYKvY+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\nOwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x12fb62e8>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"id = 21\n",
"fig, axes = subplots(1,3, figsize=(14,5))\n",
"epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
"epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
"epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
"axes[0].plot(Y[:,id], Bxra[:,id], 'b', Y[:,id], Bxr[:,id], 'r.')\n",
"axes[1].plot(Y[:,id], Byra[:,id], 'b', Y[:,id], Byr[:,id], 'r.')\n",
"axes[2].plot(Y[:,id], Bzra[:,id], 'b', Y[:,id], Bzr[:,id], 'r.')\n",
"print X[:,1]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[-285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285.\n",
" -285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285.\n",
" -285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285. -285.\n",
" -285. -285. -285. -285. -285.]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fmLyNrfO3N0fPfwDYunUrYmJiEBcXhyNHjsjbzWYzZs6ciejoaKxbt07e3tnZ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\n",
"text": [
"<matplotlib.figure.Figure at 0xaa70e80>"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = subplots(1,3, figsize=(14,5))\n",
"epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
"epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
"epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
"axes[0].plot(Y[:,1], abs((Bxr[:,1]-Bxra[:,1])/(Bxra[:,1]+epsx)), 'r.')\n",
"axes[1].plot(Y[:,1], abs((Byr[:,1]-Byra[:,1])/(Byra[:,1]+epsy)), 'r.')\n",
"axes[2].plot(Y[:,1], abs((Bzr[:,1]-Bzra[:,1])/(Bzra[:,1]+epsz)), 'r.')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 26,
"text": [
"[<matplotlib.lines.Line2D at 0x139014e0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4UNw2MzMTS5YsQVtbG2bOnIkTJ04AALZv347bt29j+fLliI+Px7Zt2wLSNoJ8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\nFy9GTU2Nz2MrKysBdH3hWbZsGSIjI7F06dIe7ym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"text": [
"<matplotlib.figure.Figure at 0x12897198>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Thoughts\n",
"\n",
"- It works well with non-uniform mesh!!\n",
"- Actual accuray is ~10% relative error in secondary fields. As we pad more we can get better accuracy, since we did not consider secondary field at the boudnary ($\\partial\\Omega$). \n",
"- Here, we can try primary secondary field approach to get better accuracy. \n",
"- In addition, we can use the congruous sphere method to handle this secondary fields at boundaries"
]
}
],
"metadata": {}
}
]
}