Excerpt from Front Tracking and Two Dimensional Riemann Problems
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.
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Paperback. Zustand: New. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781334260285_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LX-9781334260285
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