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Titlebook: Computational Algorithms for Shallow Water Equations; Eleuterio F. Toro Textbook 2024Latest edition The Editor(s) (if applicable) and The

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发表于 2025-3-21 17:14:45 | 显示全部楼层 |阅读模式
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Titlebook: Computational Algorithms for Shallow Water Equations;  Eleuterio F. Toro Textbook 2024Latest edition The Editor(s) (if applicable) and The
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
doihttps://doi.org/10.1007/978-3-031-61395-1
isbn_softcover978-3-031-61397-5
isbn_ebook978-3-031-61395-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Exact Riemann Solver: Dry Bed,r the case of pollutant transport models. A computer-programme listing is given in Chap. ., for the complete exact Riemann solver that can deal with both wet and dry bed conditions. Useful background is found in Chaps. .–..
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Approximate Riemann Solvers,n non-conservative form. These methods do not require the explicit solution of the Riemann problem and may be placed at the bottom of the hierarchy of Riemann solvers. All the methods studied give directly a first-order accurate method of the Godunov type and can be extended to construct non-linear
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ADER High-Order Methods,tensions, but we also identify specific applications to the shallow water equations of interest in this book. The chapter is concluded with two examples that highlight the key point of very high-order methods; that is, for small errors high-order ADER methods are orders-of-magnitude more efficient t
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DAM-BREAK Modelling,t case concerns a circular dam (2D) for which a radial reference 1D solution is available for rigorous assessment of the performance of the numerical methods. High-resolution numerical computations using methods from this book capture the physical aspects of wave propagation combining the primary ou
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The Civil Rights Movement of the GDR in 1989 from conservative formulations of the shallow water equations in terms of physical variables, rather than conserved variables. It is found that such shocks are slower than those from the conserved formulation using the conserved variables. The Chapter is concluded with a list of suggested exercises
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https://doi.org/10.1007/978-3-531-92462-5which includes identifying the type of waves present and a solution sampling procedure to determine the vector .(., .) at any point (., .) in the .-. half plane. The solution will be used in successive chapters for constructing upwind numerical methods for the general initial-boundary value problem,
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