浅水方程的高阶显式龙格-库塔近似技术

IF 3 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2024-11-26 DOI:10.1016/j.compfluid.2024.106493

Jean-Luc Guermond , Matthias Maier , Eric J. Tovar

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引用次数: 0

摘要

我们引入了具有源的浅水方程的高阶时空近似，该源是不变域保持（IDP），相对于静止状态是良好平衡的，并采用了在Ern和Guermond （SIAM J. Sci.）中引入的新的显式龙格-库塔（ERK）。数学学报，44(5),A3366-A3392, 2022)然后通过验证和验证对所得方法进行了数值说明。

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A high-order explicit Runge-Kutta approximation technique for the shallow water equations

We introduce a high-order space–time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP), well-balanced with respect to rest states, and employs a novel explicit Runge–Kutta (ERK) introduced in Ern and Guermond (SIAM J. Sci. Comput. 44(5), A3366–A3392, 2022) for systems of non-linear conservation equations. The resulting method is then numerically illustrated through verification and validation.

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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.