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Generalized Riemann Problems in Computat

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Generalized Riemann Problems in Computat Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The Generalized Riemann Problem (GRP) algorithm comprises common schemes of numerical simulation of compressible, inviscid time-dependent flow. This monograph, including examples illustrating the algorithm's applications, presents the GRP methodology beginning with its underlying mathematical principles. The book is accessible to researchers and graduate students of applied mathematics, science and engineering.

Synopsis:

This monograph presents the GRP algorithm and is accessible to researchers and graduate students alike.

Synopsis:

Includes bibliographical references (p. 337-343) and index.

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.

Product Details

ISBN:
9780521772969
Author:
Ben-artzi, Matania
Publisher:
Cambridge University Press
Author:
Wright, M. H.
Author:
Ben-Artzi, M.
Author:
Kohn, R. V.
Author:
Falcovitz, J.
Author:
Falcovitz, Joseph
Author:
Ben-Artzi, Matania
Author:
Ciarlet, P. G.
Author:
Iserles, A.
Location:
Cambridge, UK
Subject:
Fluid dynamics
Subject:
Riemann-Hilbert problems.
Subject:
General Mathematics
Subject:
Mathematical Analysis
Subject:
Hydraulics
Subject:
Mechanics - Dynamics - Fluid Dynamics
Subject:
Mathematics-Analysis General
Edition Number:
1
Edition Description:
Hardback
Series:
Cambridge monographs on applied and computational mathematics ;
Series Volume:
2111
Publication Date:
20030431
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
366

Related Subjects

Humanities » Philosophy » General
Reference » Science Reference » Technology
Science and Mathematics » Biology » General
Science and Mathematics » Biology » Microbiology
Science and Mathematics » Biology » Primatology
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Physics » Fluid Mechanics

Generalized Riemann Problems in Computat New Hardcover
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$176.25 In Stock
Product details 366 pages Cambridge University Press - English 9780521772969 Reviews:
"Synopsis" by , The Generalized Riemann Problem (GRP) algorithm comprises common schemes of numerical simulation of compressible, inviscid time-dependent flow. This monograph, including examples illustrating the algorithm's applications, presents the GRP methodology beginning with its underlying mathematical principles. The book is accessible to researchers and graduate students of applied mathematics, science and engineering.
"Synopsis" by , This monograph presents the GRP algorithm and is accessible to researchers and graduate students alike.
"Synopsis" by , Includes bibliographical references (p. 337-343) and index.
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