mirror of
https://github.com/smyalygames/FiniteVolumeGPU.git
synced 2025-05-18 06:24:13 +02:00
219 lines
144 KiB
Plaintext
219 lines
144 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"%matplotlib inline\n",
|
|
"\n",
|
|
"from matplotlib import rc\n",
|
|
"\n",
|
|
"import numpy as np\n",
|
|
"from matplotlib import pyplot as plt"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"plt.rcParams[\"text.usetex\"] = True\n",
|
|
"plt.rcParams[\"font.family\"] = 'serif'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def setBwStyles(ax):\n",
|
|
" from cycler import cycler\n",
|
|
"\n",
|
|
" ax.set_prop_cycle( #cycler('marker', ['.', 'x', 4, '+', '*', '1']) +\n",
|
|
" #cycler('linestyle', ['-.', '--', ':', '-.', '--', ':']) +\n",
|
|
" #cycler('markersize', [15, 15, 15, 15, 15, 15]) +\n",
|
|
" cycler('color', ['k', 'k', 'k', 'k', 'k', 'k']) )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:35: RuntimeWarning: invalid value encountered in true_divide\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 900x750 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:20: RuntimeWarning: divide by zero encountered in true_divide\n",
|
|
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:23: RuntimeWarning: divide by zero encountered in true_divide\n",
|
|
"/home/andreb/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:26: RuntimeWarning: divide by zero encountered in true_divide\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 900x750 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def desingularise_our(hu, h, eps):\n",
|
|
" return hu / np.maximum(np.minimum(h*h/(2.0*eps)+0.5*eps, eps), np.abs(h))\n",
|
|
"\n",
|
|
"def desingularise_kp1(hu, h, eps):\n",
|
|
" return np.sqrt(2.0)*h*hu/np.sqrt(h**4+np.maximum(h**4, eps**4))\n",
|
|
"\n",
|
|
"def desingularise_kp2(hu, h, eps):\n",
|
|
" return h*hu/(h**2+eps**2)\n",
|
|
"\n",
|
|
"def desingularise_kp3(hu, h, eps):\n",
|
|
" return 2*h*hu/(h**2+np.maximum(h**2, eps**2))\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"def desingularised_h_our(hu, h, eps):\n",
|
|
" return np.maximum(np.minimum(h*h/(2.0*eps)+0.5*eps, eps), np.abs(h))\n",
|
|
"\n",
|
|
"def desingularised_h_kp1(hu, h, eps):\n",
|
|
" return np.sqrt(h**4+np.maximum(h**4, eps**4)) / (np.sqrt(2.0)*h)\n",
|
|
"\n",
|
|
"def desingularised_h_kp2(hu, h, eps):\n",
|
|
" return (h**2+eps**2) / h\n",
|
|
"\n",
|
|
"def desingularised_h_kp3(hu, h, eps):\n",
|
|
" return (h**2+np.maximum(h**2, eps**2)) / (2*h)\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"x = np.linspace(0, 3.0e-11, 500).astype(np.float32)\n",
|
|
"h = x.copy()\n",
|
|
"u = np.ones_like(h)*1.0\n",
|
|
"hu = h*u\n",
|
|
"u_true = hu/h\n",
|
|
"u_our = desingularise_our(hu, h, 1.0e-11)\n",
|
|
"u_kp1 = desingularise_kp1(hu, h, 1.0e-11)\n",
|
|
"u_kp2 = desingularise_kp2(hu, h, 1.0e-11)\n",
|
|
"u_kp3 = desingularise_kp3(hu, h, 1.0e-11)\n",
|
|
"\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(6, 5), dpi=150)\n",
|
|
"#setBwStyles(fig.gca())\n",
|
|
"plt.plot(x, u_kp1, label='$D_1(hu, h)$', markevery=50, marker='.', color='k', markersize=10)\n",
|
|
"plt.plot(x, u_kp2, label='$D_2(hu, h)$', markevery=50, marker='+', color='k', markersize=7)\n",
|
|
"plt.plot(x, u_kp3, label='$D_3(hu, h)$', markevery=50, marker='x', color='k', markersize=7)\n",
|
|
"plt.plot(x, u_our, label='Our $D(hu, h)$', markevery=50, marker='*', color='k', markersize=10)\n",
|
|
"plt.plot(x, u_true, label='Truth', markevery=50, color='k', markersize=5)\n",
|
|
"plt.ylim([0.6, 1.1])\n",
|
|
"plt.xlim([0, 3.0e-11])\n",
|
|
"plt.xlabel('x')\n",
|
|
"plt.ylabel('Desingularized $hu/h$')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"plt.savefig(\"desingularized_u.pdf\", bbox_inches = \"tight\")\n",
|
|
"\n",
|
|
"\n",
|
|
"h = x.copy()\n",
|
|
"u = np.ones_like(h)*1.01\n",
|
|
"hu = h*u\n",
|
|
"h_true = h\n",
|
|
"h_our = desingularised_h_our(hu, h, 1.0e-11)\n",
|
|
"h_kp1 = desingularised_h_kp1(hu, h, 1.0e-11)\n",
|
|
"h_kp2 = desingularised_h_kp2(hu, h, 1.0e-11)\n",
|
|
"h_kp3 = desingularised_h_kp3(hu, h, 1.0e-11)\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(6, 5), dpi=150)\n",
|
|
"#setBwStyles(fig.gca())\n",
|
|
"plt.plot(x, h_kp1, label='$h^*_1$', markevery=50, marker='.', color='k', markersize=10)\n",
|
|
"plt.plot(x, h_kp2, label='$h^*_2$', markevery=50, marker='+', color='k', markersize=7)\n",
|
|
"plt.plot(x, h_kp3, label='$h^*_3$', markevery=50, marker='x', color='k', markersize=7)\n",
|
|
"plt.plot(x, h_our, label='Our $h^*$', markevery=50, marker='*', color='k', markersize=10)\n",
|
|
"plt.plot(x, h_true, label='Truth', markevery=50, color='k', markersize=5)\n",
|
|
"plt.ylim([0, 3.0e-11])\n",
|
|
"plt.xlim([0, 3.0e-11])\n",
|
|
"plt.xlabel('x')\n",
|
|
"plt.ylabel('Desingularized $h$')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"plt.savefig(\"desingularized_h.pdf\", bbox_inches = \"tight\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|