Hydrodynamic Instabilities in Well-Balanced Finite Volume Schemes for Frictional Shallow Water Equations. The Kinematic Wave Case

被引：6

作者：

Bohorquez, Patricio ^{[1
]}

Rentschler, Martin ^{[2
]}

机构：

[1] Univ Jaen, Area Mecan Fluidos, Dept Ingn Mecan & Minera, Jaen 23071, Spain

[2] Ecole Polytech Fed Lausanne, Sch Architecture Civil & Environm Engn, CH-1015 Lausanne, Switzerland

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2011年 / 48卷 / 1-3期

关键词：

One layer shallow water; Kinematic wave; Roll waves; WENO schemes; Compact filter; HIGH-ORDER;

D O I：

10.1007/s10915-010-9444-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We report the developments of hydrodynamic instabilities in several well-balanced finite volume schemes that are observed during the computation of the temporal evolution of an out-balance flow which is essentially a kinematic wave. The numerical simulations are based on the one-dimensional shallow-water equations for a uniformly sloping bed with hydraulic resistance. Subsequently, we highlight the need of low dissipative high-order well-balanced filter schemes for non-equilibrium flows with variable cut-off wavenumber to compute the out-balance flow under consideration, i.e. the kinematic wave.

引用

页码：3 / 15

页数：13

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