Fluid Mechanics and Its Applications

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

Authors: Aristov, V.V.

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About this book

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.

Table of contents (14 chapters)

  • The Boltzmann Equation as a Physical and Mathematical Model

    Aristov, V. V.

    Pages 1-21

  • Survey of Mathematical Approaches to Solving the Boltzmann Equation

    Aristov, V. V.

    Pages 23-43

  • Main Features of the Direct Numerical Approaches

    Aristov, V. V.

    Pages 45-68

  • Deterministic (Regular) Method for Solving the Boltzmann Equation

    Aristov, V. V.

    Pages 69-83

  • Construction of Conservative Scheme for the Kinetic Equation

    Aristov, V. V.

    Pages 85-108

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-94-010-0866-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $269.00
price for USA
  • ISBN 978-0-7923-6831-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4020-0388-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
Authors
Series Title
Fluid Mechanics and Its Applications
Series Volume
60
Copyright
2001
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-010-0866-2
DOI
10.1007/978-94-010-0866-2
Hardcover ISBN
978-0-7923-6831-1
Softcover ISBN
978-1-4020-0388-2
Series ISSN
0926-5112
Edition Number
1
Number of Pages
XVII, 302
Topics