Mathematical and Computational Methods for Compressible Flow

Hardcover | July 10, 2003

byMiloslav Feistauer, Jiri Felcman, Ivan Straskraba

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This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used inComputational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods usingapproximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemesand their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.

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From the Publisher

This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used inComputational Fluid Dynamics (CFD) for the numerical s...

M. Feistauer is Professor of Mathematics for Approximate and Numerical Methods at Charles University in Prague , Czech Republic. He is a member of the editorial boards for the following journals: Applications of Mathematics, Journal of Numerical Mathematics, Visualization in Science and Computation, Journal of Mathematical Fluid Mecha...

other books by Miloslav Feistauer

Discontinuous Galerkin Method: Analysis and Applications to Compressible Flow
Discontinuous Galerkin Method: Analysis and Application...

Kobo ebook|Jul 17 2015

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Format:HardcoverDimensions:552 pages, 9.21 × 6.14 × 1.34 inPublished:July 10, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198505884

ISBN - 13:9780198505884

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Table of Contents

Fundamental concepts and equations1.1. Some mathematical concepts and notation1.2. Governing equations and relations of gas dynamics1.3. Some advanced mathematical concepts and results1.4. Survey of concepts and results from functional analysisBasic facts from the theory of the Euler and Navier-Stokes equations2.1. Hyperbolic systems and the Euler equations2.2. Existence of smooth solutions2.3. Weak solutions2.4. Nonstationary Navier-Stokes equations of compressible flow2.5. Existence results for stationary compressible Navier-Stokes equationsFinite difference and finite volume methods for non-linear hyperbolic systems and the Euler equations3.1. Further properties of the Euler equations3.2. Numerical methods for hyperbolic systems with one space variable3.3. The finite volume method for the multidimensional Euler equations3.4. Osher-Solomon scheme3.5. Higher order finite volume schemes3.6. Adaptive methods3.7. Examples of finite volume simulationsFinite element solution of compressible flow4.1. Finite element method - elementary treatment4.2. Finite element solution of viscous barotropic flow4.3. Finite element solution of a heat conductive gas flow4.4. Combined finite volume - finite element method for viscous compressible flow4.5. Theory of the combined FV-FE method4.6. Discontinuous Galerkin finite element method

Editorial Reviews

`There are many texts on numerical methods for compressible flow but this one is special ... The book is written in a very pleasant and readable style. The publisher has provided the book with good paper and a hardcover binding so that it can be a companion for many years. This book belongson the shelf of every mathematician working in the area of mathematics-based CFD.'Thomas H. Sonar, Mathematical Reviews, Issue 2007k