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Titlebook: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows; V. V. Aristov Book 2001 Springer Science+Business Med

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发表于 2025-3-21 17:50:52 | 显示全部楼层 |阅读模式
书目名称Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
编辑V. V. Aristov
视频video
丛书名称Fluid Mechanics and Its Applications
图书封面Titlebook: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows;  V. V. Aristov Book 2001 Springer Science+Business Med
描述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
出版日期Book 2001
关键词Approximation; Monte Carlo method; Navier-Stokes equations; algorithms; entropy; equilibrium; flow; heat; he
版次1
doihttps://doi.org/10.1007/978-94-010-0866-2
isbn_softcover978-1-4020-0388-2
isbn_ebook978-94-010-0866-2Series ISSN 0926-5112 Series E-ISSN 2215-0056
issn_series 0926-5112
copyrightSpringer Science+Business Media Dordrecht 2001
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https://doi.org/10.1007/978-3-662-50389-8g the right-hand side of the Boltzmann equation are developed in recent years [.–.]. Such numerical schemes are attractive due to the simple structure of terms that approximate the collision integrals, good perspectives for paralleling, a clear way for estimating numerical errors, etc.
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One-Dimensional Kinetic Problems,itting method of the direct numerical analysis of the Boltzmann equation is one of the preferable approaches to attain this aim. One of the possible purposes can be a consideration of several methods, in order to understand the order of their accuracy.
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https://doi.org/10.1007/978-3-662-50389-8l algorithms developed. Uniform relaxation is part of the conservative splitting scheme, therefore a study of this process is essential. On the other hand, obtaining the solution of the uniform relaxation in fact resolves a construction of the splitting algorithm because the second stage - namely, the colissionless flow — is significantly simpler.
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