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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."
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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