A Two-Layer Hydrostatic-Reconstruction Method for High-Resolution Solving of the Two-Layer Shallow-Water Equations over Uneven Bed Topography

被引：4
|
作者：
Lin, Jiang [1 ]
Mao, Bing [2 ]
Lu, Xinhua [3 ]
机构：
[1] Chongqing Jiaotong Univ, Southwest Hydraul Inst Waterways, Chongqing 400016, Peoples R China
[2] Yangtze River Sci Res Inst, Wuhan 430015, Hubei, Peoples R China
[3] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn, Wuhan 430072, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2019年 / 2019卷
基金：
中国国家自然科学基金;
关键词：
SOURCE-TERM; SCHEME; MODEL; SIMULATIONS; FLOWS;
D O I：
10.1155/2019/5064171
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, attention is focused on numerically solving the two-dimensional, two-layer nonlinear shallow-water equations (2LSWEs) over uneven bed topography. A two-layer hydrostatic-reconstruction method (2LHRM) is proposed for face value reconstructions. A numerical model is then developed based on the 2LHRM in the framework of finite-volume methods using the slope-limited centered (SLIC) approximate Riemann solver for flux evaluations. The validations against various benchmark tests show that the 2LHRM by working with the SLIC scheme predicts robust solutions around large gradients and is able to simulate lake-at-rest solutions without using any ad-hoc techniques.
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收藏
页数：14
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