Mathematical and Computational Methods for Compressible Flow

Erscheinungsjahr 2003
ISBN: 978-0-19-850588-4
Verlag: OUP Oxford

Buch, Englisch, 552 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 986 g

Reihe: Numerical Mathematics and Scientific Computation

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.

Autoren/Hrsg.

Feistauer, Miloslav

Felcman, Jiri

Straskraba, Ivan

Fachgebiete

• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Über Autor(innen)

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.

J. Felcman is Associate Professor for Approximate and Numerical Methods at Charles University in Prague, Czech Republic.

I. Straskraba is a research scientist at the Mathematical Institute of the Academy of Sciences in Prague, Czech Republic, and is a member of the editorial board for the Journal of Mathematical Fluid Mechanics.