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Lecture Notes on the Discretization of the Boltzmann Equation

N. Bellomo
Lecture Notes on the Discretization of the Boltzmann Equation by N. Bellomo PDF

Author : N. Bellomo
Publisher : World Scientific
Page : 317 pages
File Size : 14,66 MB
Release : 2003
Category : Science
ISBN : 9812382259

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This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.

Fluid Dynamic Applications Of The Discrete Boltzmann Equation

Monaco Roberto
Fluid Dynamic Applications Of The Discrete Boltzmann Equation by Monaco Roberto PDF

Author : Monaco Roberto
Publisher : World Scientific
Page : 288 pages
File Size : 36,8 MB
Release : 1991-11-15
Category : Mathematics
ISBN : 9813104392

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This book presents applications to several fluid dynamics problems in both the bounded and unbounded domains in the framework of the discrete velocity models of kinetic theory. The proposition of new models for dense gases, gases with multi-components, and gases with chemical reactions are also included. This is an up-to-date book on the applications of the discrete Boltzmann equation.

Lecture Notes On The Discretization Of The Boltzmann Equation

Nicola Bellomo
Lecture Notes On The Discretization Of The Boltzmann Equation by Nicola Bellomo PDF

Author : Nicola Bellomo
Publisher : World Scientific
Page : 317 pages
File Size : 13,79 MB
Release : 2003-01-24
Category : Mathematics
ISBN : 9814487066

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This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.

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

V.V. Aristov
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by V.V. Aristov PDF

Author : V.V. Aristov
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 21,74 MB
Release : 2012-12-06
Category : Science
ISBN : 9401008663

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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.

Discrete Models Of Fluid Dynamics

A S Alves
Discrete Models Of Fluid Dynamics by A S Alves PDF

Author : A S Alves
Publisher : World Scientific
Page : 270 pages
File Size : 41,64 MB
Release : 1991-04-30
Category :
ISBN : 9814603759

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Recent developments of discrete methods of fluid dynamics, particularly the two most relevant aspects: the “half” discrete case — discrete Boltzmann equation; and the “totally” discrete one — lattice gas were discussed. Both the conceptual and numerical significance of these discrete models were covered as well as the mathematical problems which arise from them. This Colloquium is the third of a series initiated in Santa Fe (USA 1986) the second having taken place in Torino (Italy 1988).

Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods

Alexander V. Bobylev
Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods by Alexander V. Bobylev PDF

Author : Alexander V. Bobylev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 289 pages
File Size : 12,78 MB
Release : 2024-09-23
Category : Mathematics
ISBN : 3110550148

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This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the solution of kinetic equations.