Finite Volume Methods

Finite Volume Methods
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DOI:
10.1007/978-3-030-13073-2_9
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发表时间:
2019
期刊:
Shallow Water Hydraulics
影响因子:
--
通讯作者:
O. Castro-Orgaz;W. Hager
O. Castro-Orgaz;W. Hager
中科院分区:
其他
文献类型:
--
作者:
O. Castro-Orgaz;W. Hager

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一维浅水方程(SWE),或Saint-Venant方程,是一个非线性双曲守恒定律(Toro,自由浅水表面激波捕获方法)的系统。Wiley,新加坡,2001)。这些与圣维南发展有关的“姓氏”背后的数学意义,通过定义(Karni,关于双曲方程数值方法的讲座笔记:短书课程)清楚地阐明。Taylor and Francis,伦敦,2011;Vazquez-Cendón,求解有限双曲方程。b施普林格,纽约,2015)。
The one-dimensional shallow water equations (SWE), or Saint-Venant equations, are a system of nonlinear hyperbolic conservations laws (Toro, Shock-capturing methods for free surface shallow flows. Wiley, Singapore, 2001). The mathematical meaning behind these “surnames” linked to the development of Saint-Venant is clearly elucidated by the definitions (Karni, Lecture notes on numerical methods for hyperbolic equations: short book course. Taylor and Francis, London, 2011; Vazquez-Cendón, Solving hyperbolic equations with finite. Springer, New York, 2015).