Mathematical And Computational Methods For Compressible Flow Hardcover

Miloslav Feistauer

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 in Computational 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 using approximate 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 schemes and 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.

0198505884

9780198505884

English

Oxford University Press

11 September 2003

552

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 Mechanics and Journal of the Finite Volume Method

Jiri Felcman

Ivan Straskraba

Overall the book contains substantial information on numerical schemes within the finite volume and finite element frameworks. A particularly interesting part in this book is the implementation of state-of-the-art methods in the context of unstructured grids. The book is therefore a welcome addition to the computational fluid dynamics literature. * Journal of Fluid Mechanics * This book presents an up-to-date overview of numerical methods for the solution of inviscid and viscous flows with particular emphasis on finite volume and finite element methods. * Journal of Fluid Mechanics * ... provides a very comprehensive coverage of mathematical and numerical aspects pertinent to compressible flow simulation. It would certainly be of interest to numerical analysts and computational fluid dynamics (CFD) practitioners alike. * Contemporary Physics *