Two-dimensional shallow water equations with porosity  and their numerical scheme on unstructured grids

zhi-li WANG; Yan-fen GENG

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Two-dimensional shallow water equations with porosity and their numerical scheme on unstructured grids

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cqvip:In this study, porosity was introduced into two-dimensional shallow water equations to reflect the effects of obstructions, leading to the modification of the expressions for the flux and source terms. An extra porosity source term appears in the momentum equation. The numerical model of the shallow water equations with porosity is presented with the finite volume method on unstructured grids and the modified Roe-type approximate Riemann solver. The source terms of the bed slope and porosity are both decomposed in the characteristic direction so that the numerical scheme can exactly satisfy the conservative property. The present model was tested with a dam break with discontinuous porosity and a flash flood in the Toce River Valley. The results show that the model can simulate the influence of obstructions, and the numerical scheme can maintain the flux balance at the interface with high efficiency and resolution.

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《水科学与水工程：英文版》 |2013年第1期|P.91-105|共15页
作者
zhi-li WANG; Yan-fen GENG;
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作者单位

Key;

Laboratory;

of;

Hydrology-;

Water;

Resources;

and;

Hydraulic;

Engineering;

Nanjing;

Hydraulic;

Research;

Institute;

Nanjing;

210024;

P.;

R.;

China;

of;

Transportation;

Southeast;

University;

Nanjing;

210096;

P.;

R.;

China;

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原文格式 PDF
正文语种 CHI
中图分类水流;
关键词
二维浅水方程; 非结构网格; 数值方法; 孔隙度; Riemann解; 数学模型; 有限体积法; 孔隙率;

机译：二维浅水方程;非结构网格;数值方法;孔隙度;Riemann解;数学模型;有限体积法;孔隙率;

Two-dimensional shallow water equations with porosity and their numerical scheme on unstructured grids

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