Generalized Riemann problems in computational fluid dynamics
Author(s)
Bibliographic Information
Generalized Riemann problems in computational fluid dynamics
(Cambridge monographs on applied and computational mathematics, 11)
Cambridge University Press, 2010
- : pbk
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. 337-343) and index
"First published 2003, First paperback edition 2010"--T.p. verso
Description and Table of Contents
Description
Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering.
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.
by "Nielsen BookData"