浅水方程的动水保平衡HLL型格式

数学研究通讯 Pub Date : 2020-06-01 DOI:10.4208/cmr.2020-0013

C. Klingenberg

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引用次数: 10

摘要

针对具有非平底地形的一维Saint-Venant浅水方程组，我们构造了新的HLL型移动水平衡保持逆风格式。所设计的一阶和二阶方案在多个数值例子上进行了测试，在这些例子中，我们验证了所提出的方案的良好平衡性质以及准确捕捉运动水稳态的小扰动的能力。AMS受试者分类：76M12、65M08、35L65、86-08、86A05

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Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations

We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography. The designed firstand secondorder schemes are tested on a number of numerical examples, in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states. AMS subject classifications: 76M12, 65M08, 35L65, 86-08, 86A05

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来源期刊

数学研究通讯

自引率

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发文量

1035