forked from johannesgerer/jburkardt-cpp
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathreactor_simulation.html
299 lines (254 loc) · 8.34 KB
/
reactor_simulation.html
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
97
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
152
153
154
155
156
157
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
185
186
187
188
189
190
191
192
193
194
195
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
229
230
231
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
<html>
<head>
<title>
REACTOR_SIMULATION - Simulated Test of Reactor Shielding
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
REACTOR_SIMULATION <br> Simulated Test of Reactor Shielding
</h1>
<hr>
<p>
<b>REACTOR_SIMULATION</b>
is a C++ program which
simulates the shielding effect of a slab intended to absorb
or reflect most of the radiation from a neutron source.
This program is intended as a simple demonstration of Monte Carlo
simulation as applied to the analysis of complicated probabilistic
systems.
</p>
<p>
<b>REACTOR_SIMULATION</b> is an example program that was developed
in the book "Numerical Methods and Software".
</p>
<p>
<b>REACTOR_SIMULATION</b> is a Monte Carlo simulation, using
uniform random numbers, which investigates the
effectiveness of a shield intended to absorb the
neutrons emitted from a nuclear reactor.
</p>
<p>
The reactor is modeled as a point source,
located at (0,0,0).
</p>
<p>
A particle emitted from the reactor has a random
initial direction, and an energy selected from
[Emin,Emax] with a 1/Sqrt(E) distribution.
</p>
<p>
The shield is modeled as a wall of thickness THICK,
extending from 0 to THICK in the X direction, and
extending forever in the Y and Z directions.
</p>
<p>
Based on the particle energy, a distance D is computed
which measures how far the particle could travel through
the shield before colliding.
</p>
<p>
Based on the particle direction, the position is updated
by D units.
</p>
<p>
If the particle is now to the left of the shield, it is
counted as being REFLECTED.
</p>
<p>
If the particle is to the right of the shield, it is
counted as being ABSORBED.
</p>
<p>
If the particle is inside the shield, it has COLLIDED.
A particle that collides is either absorbed (end of story)
or SCATTERED with a new random direction and a new (lower)
energy.
</p>
<p>
Every particle is followed from origin to its final fate,
which is reflection, transmission, or absorption.
At the end, a summary is printed, giving the number of
particles with each fate, and the average energy of each
group of particles.
</p>
<p>
Increasing NTOT, the number of particles used, will improve the
expected reliability of the results.
</p>
<p>
Increasing THICK, the thickness of the shield, should
result in more absorptions and reflections.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>REACTOR_SIMULATION</b> is available in
<a href = "../../c_src/reactor_simulation/reactor_simulation.html">a C version</a> and
<a href = "../../cpp_src/reactor_simulation/reactor_simulation.html">a C++ version</a> and
<a href = "../../f77_src/reactor_simulation/reactor_simulation.html">a FORTRAN77 version</a> and
<a href = "../../f_src/reactor_simulation/reactor_simulation.html">a FORTRAN90 version</a> and
<a href = "../../m_src/reactor_simulation/reactor_simulation.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/brownian_motion_simulation/brownian_motion_simulation.html">
BROWNIAN_MOTION_SIMULATION</a>,
a C++ library which
simulates Brownian motion in an M-dimensional region.
</p>
<p>
<a href = "../../cpp_src/duel_simulation/duel_simulation.html">
DUEL_SIMULATION</a>,
a C++ program which
simulates N repetitions of a duel between two players, each of
whom has a known firing accuracy.
</p>
<p>
<a href = "../../cpp_src/fair_dice_simulation/fair_dice_simulation.html">
FAIR_DICE_SIMULATION</a>,
a C++ program which
simulates N tosses of 2 dice, making a histogram of the results.
</p>
<p>
<a href = "../../cpp_src/high_card_simulation/high_card_simulation.html">
HIGH_CARD_SIMULATION</a>,
a C++ program which
simulates a situation in which you see the cards in a deck one by one,
and must select the one you think is the highest and stop;
the program uses GNUPLOT for graphics.
</p>
<p>
<a href = "../../cpp_src/ising_2d_simulation/ising_2d_simulation.html">
ISING_2D_SIMULATION</a>,
a C++ program which
carries out a Monte Carlo simulation of an Ising model,
a 2D array of positive and negative charges,
each of which is likely to "flip" to be in agreement with neighbors.
</p>
<p>
<a href = "../../cpp_src/life_opengl/life_opengl.html">
LIFE_OPENGL</a>,
a C++ program which
uses OpenGL to display the evolution of John Conway's "Game of Life".
</p>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
accompanies the book "Numerical Methods and Software", from which
the REACTOR_SIMULATION program was extracted.
</p>
<p>
<a href = "../../cpp_src/poisson_simulation/poisson_simulation.html">
POISSON_SIMULATION</a>,
a C++ library which
simulates a Poisson process in which events randomly occur with an
average waiting time of Lambda.
</p>
<p>
<a href = "../../cpp_src/three_body_simulation/three_body_simulation.html">
THREE_BODY_SIMULATION</a>,
a C++ program which
simulates the behavior of three planets, constrained to lie in a plane,
and moving under the influence of gravity,
by Walter Gander and Jiri Hrebicek.
</p>
<p>
<a href = "../../cpp_src/uniform/uniform.html">
UNIFORM</a>,
a C++ library which
generates pseudorandom uniform numbers.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
David Kahaner, Cleve Moler, Steven Nash,<br>
Numerical Methods and Software,<br>
Prentice Hall, 1989,<br>
ISBN: 0-13-627258-4,<br>
LC: TA345.K34.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "reactor_simulation.cpp">reactor_simulation.cpp</a>,
the source code;
</li>
<li>
<a href = "reactor_simulation.sh">reactor_simulation.sh</a>,
commands to compile, link and load the source code;
</li>
<li>
<a href = "reactor_simulation_output.txt">reactor_simulation_output.txt</a>,
the output file from a sample run.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for the reactor shielding simulation.
</li>
<li>
<b>ABSORB</b> returns TRUE if the particle is absorbed upon colliding.
</li>
<li>
<b>CROSS</b> returns the "cross section" of a particle based on its energy.
</li>
<li>
<b>DIST2C</b> returns the distance to collision.
</li>
<li>
<b>ENERGY</b> assigns an energy to an emitted particle.
</li>
<li>
<b>OUTPUT</b> prints the results of the reactor shielding simulation.
</li>
<li>
<b>SCATTER</b> returns the new direction and energy of a particle that is scattered.
</li>
<li>
<b>SOURCE</b> generates a new particle from the neutron source.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>UPDATE</b> determines the position of the particle after it has traveled D units.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 03 September 2012.
</i>
<!-- John Burkardt -->
</body
</html>