Generalized Riemann Problems in Computational Fluid Dynamics

by Matania Ben-Artzi, Joseph Falcovitz

Overview

The primary goal of numerical simulation of compressible, inviscid time-dependent flow is to represent the time evolution of complex flow patterns. Developed by Matania Ben-Artzi and Joseph Falcovitz, the Generalized Riemann Problem (GRP) algorithm comprises some of the most commonly used numerical schemes of this process. This monograph presents the GRP methodology ranging from underlying mathematical principles through basic scheme analysis and scheme extensions. The book is intended for researchers and graduate students of applied mathematics, science and engineering.

Product Details

ISBN-13:	9780521772969
Publisher:	Cambridge University Press
Publication date:	04/10/2003
Series:	Cambridge Monographs on Applied and Computational Mathematics , #11
Edition description:	New Edition
Pages:	366
Product dimensions:	6.22(w) x 9.33(h) x 1.10(d)

Table of Contents

Preface; List of figures; 1. Introduction; Part I. Basic Theory: 2. Scalar conservation laws; Appendix A: entropy conditions for scalar conservation laws; 3. The GRP method for scalar conservation laws; Appendix B: convergence of the Godunov scheme; 4. Systems of conservation laws; Appendix C: Riemann solver for a y-law gas; 5. The generalized Riemann problem (GRP) for compressible fluid dynamics; Appendix D: the MUSCL scheme; 6. Analytical and numerical treatment of fluid dynamical problems; Part II. Numerical Implementation: 7. From the GRP algorithm to scientific computing; 8. Geometric extensions; 9. A physical extension: reacting flow; 10. Wave interaction in a duct - a comparative study; Bibliography; Glossary; Index.

Editorial Reviews

Review of the hardback: '… a welcome addition to the literature.' Journal of Fluid Mechanics

Review of the hardback: '… book is well written, exhibits a nice balance between mathematics and fluid dynamics, and can serve as a reference work for GRP-based methods.' Zentralblatt fur Mathematik

From the Publisher