Mathematical and Computational Methods for Compressible Flow

Miloslav Feistauer, Jiri Felcman, Ivan Straskraba - Collection Numerical Mathematics and Scientific Computation

535 pages, parution le 06/02/2004

Ajouter à une liste

Indisponible

Résumé

Numerical and computational methods play a major role in modelling compressible flow and are important tools in solving fluid dynamical problems faced in many areas of science and technology. This book thoroughly surveys and analyzes up-to-date methods, while reviewing the basic theoretical mathematical analysis.

Useful as a textbook in universities
Excellent handbook for specialists
Contains recent developments in numerical treatment of compressible fluid flow
Good reference guide for solving applied problems
Informs a wide audience

Readership: Aimed at advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences, as well as specialists of pure and applied mathematics, aerodynamics, engineering, physics and natural science, working in research institutes and industrial companies.

L'auteur - Miloslav Feistauer

Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

L'auteur - Jiri Felcman

Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

L'auteur - Ivan Straskraba

Mathematical Institute, Academy of Sciences of Czech Republic, Prague, Czech Republic

Sommaire

Fundamental concepts and equations
- Some mathematical concepts and notation
- Governing equations and relations of gas dynamics
- Some advanced mathematical concepts and results
- Survey of concepts and results from functional analysis
Basic facts from the theory of the Euler and Navier-Stokes equations
- Hyperbolic systems and the Euler equations
- Existence of smooth solutions
- Weak solutions
- Nonstationary Navier-Stokes equations of compressible flow
- Existence results for stationary compressible Navier-Stokes equations
Finite difference and finite volume methods for non-linear hyperbolic systems and the Euler equations
- Further properties of the Euler equations
- Numerical methods for hyperbolic systems with one space variable
- The finite volume method for the multidimensional Euler equations
- Osher-Solomon scheme
- Higher order finite volume schemes
- Adaptive methods
- Examples of finite volume simulations
Finite element solution of compressible flow
- Finite element method - elementary treatment
- Finite element solution of viscous barotropic flow
- Finite element solution of a heat conductive gas flow
- Combined finite volume - finite element method for viscous compressible flow
- Theory of the combined FV-FE method
- Discontinuous Galerkin finite element method

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Miloslav Feistauer, Jiri Felcman, Ivan Straskraba
Collection	Numerical Mathematics and Scientific Computation
Parution	06/02/2004
Nb. de pages	535
Format	16 x 24
Couverture	Relié
Poids	1100g
Intérieur	Noir et Blanc
EAN13	9780198505884
ISBN13	978-0-19-850588-4