Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows: 60 - Rilegato

Libro 91 di 136: Fluid Mechanics and Its Applications

Aristov, V. V.

 
9780792368311: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows: 60

Sinossi

This study consists of investigations into the possibility of the numerical schemes of the direct method for solving the Boltzmann equation. Both deterministic and Monte Carlo procedures are considered to evaluate the collision integrals. The main mathematical tool is the conservative splitting method on the basis of which, a set of classical and new problems are solved to study nonequilibrium gas flows. This monograph differs from other books in the same field, because, for example the book by G.A. Bird is concerned with the approach of simulation of rarefied gas flows and the book by C. Cercignani deals with the classical kinetic theory issues and describes mainly the analytical and engineering methods for solving the Boltzmann equation. Our book is devoted to the numerical direct solving of the Boltzmann equation. The intended level of readership are graduate and postgraduate students and researchers. This book can be used by readers as the mathematical apparatus to numerical study of complex problems of nonequilibrium gas flows.

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Contenuti

Preface. Introduction. 1. The Boltzmann Equation as a Physical and Mathematical Model. 2. Survey of Mathematical Approaches to Solving the Boltzmann Equation. 3. Main Features of the Direct Numerical Approaches. 4. Deterministic (Regular) Method for Solving the Boltzmann Equation. 5. Construction of Conservative Scheme for the Kinetic Equation. 6. Parallel Algorithms for the Kinetic Equation. 7. Application of the Conservative Splitting Method for Investigating Near Continuum Gas Flows. 8. Study of Uniform Relaxation in Kinetic Gas Theory. 9. Nonuniform Relaxation Problem as a Basic Model for Description of Open Systems. 10. One-Dimensional Kinetic Problems. 11. Multi-Dimensional Problems. Study of Free Jet Flows. 12. The Boltzmann Equation and the Description of Unstable Flows. 13. Solutions of Some Multi-Dimensional Problems. 14. Special Hypersonic Flows and Flows with Very High Temperatures.

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Altre edizioni note dello stesso titolo

9781402003882: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows: 60

Edizione in evidenza

ISBN 10:  1402003889 ISBN 13:  9781402003882
Casa editrice: Springer, 2013
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