demo_thermalized_lbm.ipynb 188 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pystencils as ps\n",
    "from lbmpy.session import *\n",
    "from lbmpy.moments import is_shear_moment, get_order"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Demo: Thermalized (Randomized) LBM\n",
    "\n",
    "This demo notebook shows how to modify the LB collision operator to account for microscopic fluctuations. This technique is also called thermalized or randomized LBM. In these methods a random fluctuation is added to the equilibrium moments. In this simple example we implement a thermalized model by writing our own simple linear congruent random number generator, the draws indepedent random numbers on each cell. A seed is stored for each cell since all cells are processed in parallel."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1) Creating the method definition\n",
    "\n",
    "We begin with a standard SRT method..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <table style=\"border:none; width: 100%\">\n",
       "            <tr style=\"border:none\">\n",
       "                <th style=\"border:none\" >Moment</th>\n",
       "                <th style=\"border:none\" >Eq. Value </th>\n",
       "                <th style=\"border:none\" >Relaxation Rate</th>\n",
       "            </tr>\n",
       "            <tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$1$</td>\n",
       "                            <td style=\"border:none\">$\\rho$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x$</td>\n",
       "                            <td style=\"border:none\">$u_{0}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y$</td>\n",
       "                            <td style=\"border:none\">$u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{3} + u_{0}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{3} + u_{1}^{2}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y$</td>\n",
       "                            <td style=\"border:none\">$u_{0} u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y$</td>\n",
       "                            <td style=\"border:none\">$\\frac{u_{1}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{u_{0}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y^{2}$</td>\n",
       "                            <td style=\"border:none\">$\\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} + \\frac{u_{1}^{2}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "\n",
       "        </table>\n",
       "        "
      ],
      "text/plain": [
Martin Bauer's avatar
Martin Bauer committed
97
       "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f91716d3e80>"
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random_number_symbols = sp.symbols(\"rand_:3\")\n",
    "method = create_lb_method(method='srt', relaxation_rate=1.8)\n",
    "method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "...and modify its collision table. The `create_lb_method_from_existing` function provides a convenient way to do this. \n",
    "We pass a custom function that receives a row of the collision table and returns a modified version of it.\n",
    "Our modification rule adds symbols that stand for random numbers to some of the moments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <table style=\"border:none; width: 100%\">\n",
       "            <tr style=\"border:none\">\n",
       "                <th style=\"border:none\" >Moment</th>\n",
       "                <th style=\"border:none\" >Eq. Value </th>\n",
       "                <th style=\"border:none\" >Relaxation Rate</th>\n",
       "            </tr>\n",
       "            <tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$1$</td>\n",
       "                            <td style=\"border:none\">$\\rho$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x$</td>\n",
       "                            <td style=\"border:none\">$u_{0}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y$</td>\n",
       "                            <td style=\"border:none\">$u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2}$</td>\n",
Martin Bauer's avatar
Martin Bauer committed
152
       "                            <td style=\"border:none\">$0.001 rand_{0} + \\frac{\\rho}{3} + u_{0}^{2}$</td>\n",
153
154
155
156
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$y^{2}$</td>\n",
Martin Bauer's avatar
Martin Bauer committed
157
       "                            <td style=\"border:none\">$0.001 rand_{0} + \\frac{\\rho}{3} + u_{1}^{2}$</td>\n",
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y$</td>\n",
       "                            <td style=\"border:none\">$0.001 rand_{0} + u_{0} u_{1}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y$</td>\n",
       "                            <td style=\"border:none\">$0.001 rand_{1} + \\frac{u_{1}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x y^{2}$</td>\n",
       "                            <td style=\"border:none\">$0.001 rand_{1} + \\frac{u_{0}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "<tr style=\"border:none\">\n",
       "                            <td style=\"border:none\">$x^{2} y^{2}$</td>\n",
       "                            <td style=\"border:none\">$0.001 rand_{1} + \\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} + \\frac{u_{1}^{2}}{3}$</td>\n",
       "                            <td style=\"border:none\">$1.8$</td>\n",
       "                         </tr>\n",
       "\n",
       "        </table>\n",
       "        "
      ],
      "text/plain": [
Martin Bauer's avatar
Martin Bauer committed
185
       "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f91716b8cf8>"
186
187
188
189
190
191
192
193
194
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def modification_func(moment, equilibrium, relaxation_rate):\n",
Martin Bauer's avatar
Martin Bauer committed
195
    "    if is_shear_moment(moment, dim=method.dim):\n",
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
    "        equilibrium += random_number_symbols[0] * 0.001\n",
    "    elif get_order(moment) > 2:\n",
    "        equilibrium += random_number_symbols[1] * 0.001\n",
    "    return moment, equilibrium, relaxation_rate\n",
    "\n",
    "\n",
    "thermalized_method = create_lb_method_from_existing(method, modification_func)\n",
    "thermalized_method.override_weights(method.weights)\n",
    "thermalized_method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2) Creating the kernel equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we have to define rules how to compute the quantities $rand_0$ and $rand_1$. \n",
    "We do this using a linear congruent RNG on each cell. We pass in a seed array, and in each time step this seed array is updated with the new random numbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
Martin Bauer's avatar
Martin Bauer committed
229
      "image/png": "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\n",
230
      "text/latex": [
Martin Bauer's avatar
Martin Bauer committed
231
       "$\\displaystyle \\left[ {{seed}_{(0,0)}^{0}} \\leftarrow 1664525 {{seed}_{(0,0)}^{0}} + 1013904223, \\  {{seed}_{(0,0)}^{1}} \\leftarrow 1664525 {{seed}_{(0,0)}^{1}} + 1013904223, \\  {{seed}_{(0,0)}^{2}} \\leftarrow 1664525 {{seed}_{(0,0)}^{2}} + 1013904223, \\  rand_{0} \\leftarrow \\frac{{{seed}_{(0,0)}^{0}}}{4294967295}, \\  rand_{1} \\leftarrow \\frac{{{seed}_{(0,0)}^{1}}}{4294967295}, \\  rand_{2} \\leftarrow \\frac{{{seed}_{(0,0)}^{2}}}{4294967295}, \\  {{dbg}_{(0,0)}} \\leftarrow \\frac{{{seed}_{(0,0)}^{0}}}{4294967295}\\right]$"
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
      ],
      "text/plain": [
       "⎡                                                                             \n",
       "⎢seed_C__0 := 1664525⋅seed_C__0 + 1013904223, seed_C__1 := 1664525⋅seed_C__1 +\n",
       "⎣                                                                             \n",
       "\n",
       "                                                                   seed_C__0  \n",
       " 1013904223, seed_C__2 := 1664525⋅seed_C__2 + 1013904223, rand₀ := ──────────,\n",
       "                                                                   4294967295 \n",
       "\n",
       "          seed_C__1            seed_C__2            seed_C__0 ⎤\n",
       " rand₁ := ──────────, rand₂ := ──────────, dbg_C := ──────────⎥\n",
       "          4294967295           4294967295           4294967295⎦"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dh = ps.create_data_handling(domain_size=(80, 80))\n",
    "\n",
    "seed_type = np.uint32\n",
    "max_seed_type = np.iinfo(seed_type).max\n",
    "\n",
    "# Initialize the seed array\n",
    "seedField = dh.add_array('seed', dtype=seed_type, values_per_cell=len(random_number_symbols))\n",
    "for b in dh.iterate():\n",
    "    random_field = np.random.randint(0, high=max_seed_type, dtype=seed_type, size=b['seed'].shape)\n",
    "    np.copyto(b['seed'], random_field)\n",
    "    \n",
    "debug_output = dh.add_array('dbg')\n",
    "\n",
    "linear_congruent_rng_eqs = [ps.Assignment(seedField(i), seedField(i) * 1664525 + 1013904223) \n",
    "                            for i, _ in enumerate(random_number_symbols)]\n",
    "floatEqs = [ps.Assignment(ps.TypedSymbol(s.name, np.float), seedField(i) / max_seed_type)\n",
    "            for i, s in enumerate(random_number_symbols)]\n",
    "                      \n",
    "rng_eqs = linear_congruent_rng_eqs + floatEqs + [ps.Assignment(debug_output.center, seedField(0) / max_seed_type)]\n",
    "rng_eqs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These assignments are then added to the LB collision rule."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "collision_rule = create_lb_collision_rule(lb_method=thermalized_method)\n",
    "collision_rule.subexpressions += rng_eqs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, lets test our method by running a lid-driven-cavity with it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "ldc = create_lid_driven_cavity(data_handling=dh, collision_rule=collision_rule, lid_velocity=0.05,\n",
    "                               kernel_params={'rand_0': 0, 'rand_1': 0})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#show_code(ldc.ast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "ldc.run(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
Martin Bauer's avatar
Martin Bauer committed
334
      "image/png": "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\n",
335
336
337
338
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
Martin Bauer's avatar
Martin Bauer committed
339
340
341
     "metadata": {
      "needs_background": "light"
     },
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.vector_field(ldc.velocity[:, :]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "assert np.isfinite(dh.max('ldc_velocity'))"
   ]
  }
 ],
 "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",
Martin Bauer's avatar
Martin Bauer committed
375
   "version": "3.6.9"
376
377
378
379
380
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}