Minimal intervention to simulations of shallow-water equations

Camilo E. Pinilla; Salem Bouhairie; Lai-Wai Tan; Vincent H. Chu

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Minimal intervention to simulations of shallow-water equations

机译：对浅水方程组模拟的最小干预

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摘要

A minimal intervention (MI) strategy is employed to manage the unphysical oscillations in the classical finite volume (CFV) numerical solution of the shallow-water equations. Only the missing variables on the face of the finite volume are modified for Total Variation Diminishing (TVD). The MI strategy maintains long-term computational stability without compromising the accuracy of the numerical solution. Flux limiters are implemented by imposing downwind weighting factor constraints on the missing variables on a staggered grid as the shallow-water equations are updated by a fourth-order Runge-Kutta scheme. The shock capturing capability of this MI-CFV method is verified by comparing the simulations with the exact solutions. A series of turbulence simulations for sub-critical and super-critical flows demonstrates the long-term numerical stability of the computation scheme developed using the MI strategy.

机译：采用最小干预（MI）策略来管理浅水方程组的经典有限体积（CFV）数值解中的非物理振荡。对于总变化量递减（TVD），仅修改有限体积面上缺少的变量。 MI策略可保持长期的计算稳定性，而不会影响数值解的准确性。通量限制器是通过在交错网格上的缺失变量上施加顺风加权因子约束来实现的，因为浅水方程是通过四阶Runge-Kutta方案更新的。通过将仿真与精确解进行比较，验证了此MI-CFV方法的冲击捕捉能力。针对次临界流和超临界流的一系列湍流模拟证明了使用MI策略开发的计算方案的长期数值稳定性。

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来源
《Journal of hydro-environment research》 |2010年第4期|201-207|共7页
作者
Camilo E. Pinilla; Salem Bouhairie; Lai-Wai Tan; Vincent H. Chu;
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作者单位

Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada;

Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada;

Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada;

Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada;

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原文格式 PDF
正文语种 eng
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关键词
classical finite volume method; flux limiting; minimal intervention; shallow-water equations; staggered grid;

机译：经典有限体积法通量限制干预最少;浅水方程交错网格;

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Minimal intervention to simulations of shallow-water equations

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