Front Tracking and Two Dimensional Riemann Problems (Classic Reprint)
Language: English
Published by Forgotten Books, 2017
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.42
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Print on Demand. This book examines Riemann problems in gas dynamics and the practical application of front tracking. In doing so, it advances the mathematics of hyperbolic partial differential equations in multiple dimensions. The book begins by establishing a method to numerically solve two-dimensional Riemann problems. It then classifies and elucidates the trajectories of elementary waves. Finally, the author discusses open questions in the field with far-reaching implications not only in theoretical mathematics but also in applied mathematics such as oil reservoir simulations, and in other disciplines such as chemically reacting flows and nonlinear elasticity. The presentation gradually increases the complexity of the introduced theoretical objects and the author concludes with some of the most pressing questions in the field today. This book will be of use to pure and applied mathematicians and accessible to graduate students and researchers who have had an undergraduate course in partial differential equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781334260285_0
- Title
- Front Tracking and Two Dimensional Riemann Problems (Classic Reprint)
- Author
- James Glimm, C. Klingenberg
- Publisher
- Forgotten Books
- Publication year
- 2017
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334260281
- ISBN 13
- 9781334260285
- Seller catalogs
- Physics
A substantial improvement in resolution has been achieved for the computation of jump discontinuities in gas dynamics using the method of front tracking. The essential feature of this method is that a lower dimensional grid is fitted to and follows the discontinuous waves. At the intersection points of these discontinuities, two-dimensional Riemann problems occur. In this paper we study such two-dimensional Riemann problems from both numerical and theoretical points of view. Specifically included is a numerical solution for the Mach reflection, a general classification scheme for two-dimensional elementary waves, and a discussion of problems and conjectures in this area.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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