Generalized Riemann Problems in Computational Fluid Dynamics
$51.99 (C)
Part of Cambridge Monographs on Applied and Computational Mathematics
- Authors:
- Matania Ben-Artzi, Hebrew University of Jerusalem
- Joseph Falcovitz, Hebrew University of Jerusalem
- Date Published: July 2011
- availability: Available
- format: Paperback
- isbn: 9780521173278
$
51.99
(C)
Paperback
Other available formats:
Hardback, eBook
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
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.
Read more- Presents the relevant mathematical background along with systematic analysis of the GRP methods
- Introduces basic mathematical concepts first in simpler scalar conservation laws, repeats the process for more general settings
- Includes detailed 'construction' tables, allowing for the actual writing of suitable computer codes
Reviews & endorsements
Review of the hardback: '… a welcome addition to the literature.' Journal of Fluid Mechanics
See more reviewsReview 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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: July 2011
- format: Paperback
- isbn: 9780521173278
- length: 366 pages
- dimensions: 229 x 152 x 21 mm
- weight: 0.54kg
- availability: Available
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×