Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

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Springer Science & Business Media, Nov 30, 2001 - Science - 302 pages
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This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.
 

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Contents

IV
1
V
6
VI
10
VII
13
VIII
21
IX
23
X
25
XI
27
XLIII
139
XLIV
140
XLV
146
XLVI
148
XLVII
153
XLVIII
155
XLIX
159
L
164

XII
29
XIII
30
XIV
31
XV
33
XVI
39
XVII
45
XVIII
49
XIX
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XX
56
XXI
58
XXII
61
XXIII
67
XXIV
69
XXV
70
XXVI
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XXVII
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XXVIII
83
XXIX
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XXX
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XXXI
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XXXII
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XXXIII
103
XXXIV
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XXXV
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XXXVI
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XXXVII
113
XXXVIII
119
XXXIX
121
XL
124
XLI
131
XLII
137
LI
167
LII
171
LIII
179
LIV
181
LV
188
LVI
197
LVII
203
LVIII
207
LIX
211
LX
212
LXI
214
LXII
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LXIII
225
LXIV
227
LXV
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LXVI
230
LXVII
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LXVIII
239
LXIX
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LXX
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LXXI
254
LXXII
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LXXIII
263
LXXIV
269
LXXV
271
LXXVI
274
LXXVII
277
LXXVIII
281
LXXIX
286
LXXX
293
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