Created
November 9, 2012 15:52
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Líneas de corriente con matplotlib 1.2
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{ | |
"metadata": { | |
"name": "L\u00edneas de corriente con matplotlib 1.2" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%pylab inline" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"\n", | |
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", | |
"For more information, type 'help(pylab)'.\n" | |
] | |
} | |
], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"R = 1.0\n", | |
"U = 1.0" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"x = np.linspace(-3, 3, 151)\n", | |
"y = np.linspace(-3, 3, 151)\n", | |
"\n", | |
"xx, yy = np.meshgrid(x, y)\n", | |
"\n", | |
"rr = np.sqrt(xx ** 2 + yy ** 2)\n", | |
"tt = np.arctan2(yy, xx)\n", | |
"\n", | |
"# Enmascaramos el centro para evitar singularidades\n", | |
"rr = ma.masked_less_equal(rr, R * 0.9)\n", | |
"\n", | |
"# Funci\u00f3n potencial\n", | |
"phi = U * (rr + R ** 2 / rr) * np.cos(tt)\n", | |
"\n", | |
"# Funci\u00f3n de corriente\n", | |
"psi = U * (rr - R ** 2 / rr) * np.sin(tt)\n", | |
"\n", | |
"# Coeficiente de presiones\n", | |
"c_p = 2 * R ** 2 / rr ** 2 * np.cos(2 * tt) - R ** 4 / rr ** 4\n", | |
"\n", | |
"# Velocidad (polares)\n", | |
"v_r = U * (1 - R ** 2 / rr ** 2) * np.cos(tt)\n", | |
"v_theta = -U * (1 + R ** 2 / rr ** 2) * np.sin(tt)\n", | |
"\n", | |
"# Velocidad (rectangulares)\n", | |
"v_x = v_r * np.cos(tt) - v_theta * np.sin(tt)\n", | |
"v_y = v_r * np.sin(tt) + v_theta * np.cos(tt)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# Creamos la figura\n", | |
"fig = plt.figure()\n", | |
"ax = fig.add_subplot(111)\n", | |
"\n", | |
"# Cilindro\n", | |
"c = Circle((0, 0), R, color='#bbbbbb', linewidth=0, zorder=10)\n", | |
"ax.add_patch(c)\n", | |
"\n", | |
"# L\u00edneas de corriente\n", | |
"ax.streamplot(xx, yy, v_x, v_y, linewidth=0.8, color='k')\n", | |
"\n", | |
"# Representaci\u00f3n del coeficiente de presiones\n", | |
"cs = ax.contourf(xx, yy, c_p, np.linspace(-3, 1, 1000), cmap=cm.GnBu)\n", | |
"cb = fig.colorbar(cs, ticks=(-3 + np.arange(5)))\n", | |
"cb.set_label('Presi\u00f3n')\n", | |
"\n", | |
"# Etiquetas\n", | |
"ax.set_xlabel('x')\n", | |
"ax.set_ylabel('y')\n", | |
"ax.set_title(\"Flujo potencial\")\n", | |
"ax.set_aspect(1)\n", | |
"\n", | |
"# Se guarda la figura\n", | |
"fig.savefig('lineas-corriente.png', dpi=150)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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kzG7IsNzOKuQpJlZ54a9+lyOf/29su/1Ohm+4XajYtpPjbBpIklyZtQ+pPIOf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3N5oUh76Sd/ruhlTeKpSIjx8QUe/Ju/pfu6W2k7cCvFokWxGISiQ25mkrOf/SjRnVfT8qo7cV0J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\ncdOz5Nx3X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aei0rJ7P617DyDLkB05zuyPH+DxD3+WxNZdJPqH6b7qOlLDW8uajCNR1haF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\nF3n4P7ocXrLUANS4AAAAAElFTkSuQmCC\n" | |
} | |
], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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