书目名称 | Computational Algorithms for Shallow Water Equations | 编辑 | Eleuterio F. Toro | 视频video | | 概述 | Examines modern, shock-capturing numerical methods for shallow water.Includes numerical software and sample programs as supplementary material.Offers algorithmic and practical presentations of the met | 图书封面 |  | 描述 | .This book is a thoroughly revised and enlarged version of “Shock-capturing methods for free-surface shallow flows", first published by Wiley and Sons, 2001. The book describes mathematically free-surface flows through partial differential equations and includes modern shock-capturing methods to solve them, with strong emphasis on finite volume upwind and centred methods. Such equations and methods are fundamental in simulating shallow water flows but also atmospheric flows, dispersion of dense gases and the dynamics of mixtures of materials... ..The book is accompanied by numerical software in the form of sample computer programs as supplementary material. In this new edition, additional sections have been introduced to existing chapters. Also, new chapters have been included; one contains a review of the mathematics of hyperbolic partial differential equations, another introduces the numerical analysis of partial differential equations and another one deals with advanced very-high order numerical methods in the finite volume and discontinuous Galerkin frameworks. Furthermore, comprehensive modifications and corrections have been made throughout various sections of the text, and n | 出版日期 | Textbook 2024Latest edition | 关键词 | free-surface shallow flows; shallow water flows; Riemann solvers; finite volume; shock-capturing method | 版次 | 2 | doi | https://doi.org/10.1007/978-3-031-61395-1 | isbn_softcover | 978-3-031-61397-5 | isbn_ebook | 978-3-031-61395-1 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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