Editors:
An up-to-date description of the basic theory of molecular gas dynamics and its various applications
Progress in the field over the last thirty years has greatly enhanced the original theory and has stimulated interesting and critical gas dynamic phenomena and problems
An explanation of the theoretical background for the direct simulation Monte Carlo (DSMC) method is easily accessible to nonmathematicians and not found elsewhere in literature
The ghost effect, which made molecular gas dynamics indispensable to the study of a gas in the continuum limit, is discussed in the context of a new framework
For a broad audience of graduate students, researchers, and practitioners in theoretical physics, applied mathematics, and various branches of engineering.
May be used as a textbook in graduate-level courses on fluid dynamics, gas dynamics, kinetic theory, molecular or rarefied gas dynamics, microflows, and applied mathematics
Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- Boltzmann equation
- Bénard problem
- Couette flow
- Taylor–Couette problem
- Theoretical physics
- direct simulation Monte Carlo (DSMC)
- evaporation and condensation
- fluid dynamics
- ghost effect
- infinitesimal curvature effect
- molecular gas dynamics
- non-Navier–Stokes effects
- rarefied gases
- fluid- and aerodynamics
Reviews
From the reviews:
"This is a comprehensive and self-contained text giving an overview of gas dynamics on the basis of kinetic theory in the tradition of asymptotic analysis as pursued by the author and his collaborators...[T]he treatment is lucid and self-contained, with masterfully chosen and executed expansions that do not usually find their way into textbooks...Throughout the whole book, the presentation is illustrated with numerical graphs and tables based on widely varying numerical methods chosen with regard to the respective problems. Clarifying footnotes are generously provided, useful both for the beginner and for the experienced user. An added bonus is accurate and up-to-date surveys of the mathematical status of the various problems together with an in-depth bibliography. This impressive monograph...will become a convenient and lasting reference in the area." —Transport Theory and Statistical Physics
"In this book the author presents a good review of the theory and the modeling of molecular gas dynamics, together with applications, based on his work with his collaborators. This book is a good reference for researchers interested in applications to kinetic theory and fluid dynamics." —Mathematical Reviews
“The monograph provides a comprehensive and self-contained overview of gas dynamics based on the kinetic theory. … The presentation is supplemented with illustrations and tables demonstrating the numerical methods suitable for the respective problems. An up-to-date survey of the current status of research in the various areas is given together with an extensive bibliography. The book can serve as a self-study reference or as a textbook.” (Jan Stebel, Applications of Mathematics, Vol. 56, 2011)
Editors and Affiliations
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Kyoto University, Sakyo-ku Kyoto, Japan
Yoshio Sone
Bibliographic Information
Book Title: Molecular Gas Dynamics
Book Subtitle: Theory, Techniques, and Applications
Editors: Yoshio Sone
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-0-8176-4573-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Hardcover ISBN: 978-0-8176-4345-4Published: 12 December 2006
eBook ISBN: 978-0-8176-4573-1Published: 16 October 2007
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XIII, 658
Topics: Physics, general, Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Mathematical Modeling and Industrial Mathematics, Mathematical Methods in Physics, Fluid- and Aerodynamics