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Lecture notes on the discretization of the Boltzmann equation / / editors Nicola Bellomo, Renee Gatignol



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Titolo: Lecture notes on the discretization of the Boltzmann equation / / editors Nicola Bellomo, Renee Gatignol Visualizza cluster
Pubblicazione: River Edge, NJ, : World Scientific, c2003
Edizione: 1st ed.
Descrizione fisica: 1 online resource (317 p.)
Disciplina: 530.13/8
Soggetto topico: Transport theory
Finite element method
Differential equations - Asymptotic theory
Altri autori: BellomoN  
GatignolRenee  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: CONTENTS ; Preface ; Chapter 1. From the Boltzmann Equation to Discretized Kinetic Models ; 1.1 Introduction ; 1.2 The Nonlinear Boltzmann Equation ; 1.3 The Discrete and Semicontinuous Boltzmann Equation ; 1.4 Plan of the Lecture Notes ; 1.5 References
Chapter 2. Discrete Velocity Models for Gas Mixtures 2.1 Introduction ; 2.2 DVM for mixtures ; 2.3 Models with a finite number of velocities and the problem of spurious invariants ; 2.4 Constructing DVM with arbitrarily many velocities ; 2.5 Concluding remarks ; 2.6 References
Chapter 3. Discrete Velocity Models with Multiple Collisions 3.1 Introduction ; 3.2 Discrete Models with Multiple Collisions ; 3.3 Macroscopic Description ; 3.4 Boundary Conditions for Discrete Models ; 3.5 Conclusion ; 3.6 References
Chapter 4. Discretization of the Boltzmann Equation and the Semicontinuous Model 4.1 Introduction ; 4.2 Splitting and Energy Formulation ; 4.3 Working in a Finite Energy Interval ; 4.4 Energy Discretization and Kinetic Model
4.5 Conservation and Euler Equations for the Discretized Model 4.6 Energy Formulation of the Collision Dynamics ; 4.7 Concluding Remarks ; 4.8 References ; Chapter 5. Semi-continuous Extended Kinetic Theory ; 5.1 Introduction ; 5.2 Continuous Kinetic Equations
5.3 Semi-continuous Kinetic Equations
Sommario/riassunto: 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. <br><i>Contents:</i><ul><li>From the Boltzmann Equation to Discretized Kinetic Models <i>(N Bellomo & R Gatignol)</i>
Titolo autorizzato: Lecture notes on the discretization of the Boltzmann equation  Visualizza cluster
ISBN: 1-281-94792-X
9786611947927
981-279-690-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910821245403321
Lo trovi qui: Univ. Federico II
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Serie: Series on advances in mathematics for applied sciences ; ; v. 63.