An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids

被引：7

作者：

Zhao, Jiaheng ^{[1
]}

Ozgen-Xian, Ilhan ^{[2
]}

Liang, Dongfang ^{[3
]}

Wang, Tian ^{[1
,4
]}

Hinkelmann, Reinhard ^{[1
]}

机构：

[1] Tech Univ Berlin, Chair Water Resources Management & Modeling Hydro, Berlin, Germany

[2] Lawrence Berkeley Natl Lab, Energy Geosci Div, Berkeley, CA USA

[3] Univ Cambridge, Dept Engn, Cambridge, England

[4] Xian Univ Technol, Inst Water Resources & Hydroelect Engn, Xian 710048, Shaanxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Finite volume method; MUSCL scheme; Shallow water; Total variation diminishing; Unstructured grids; ADVECTION SIMULATION; FLOW MODEL; RECONSTRUCTION;

D O I：

10.1016/j.camwa.2018.09.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes an improved vector manipulation multislope monotone upstream-centred scheme for conservation laws (MUSCL) reconstruction for solving the shallow water equations on unstructured grids. This improved MUSCL reconstruction method includes a bigger stencil for the interpolation and saves time for determining the geometric relations compared to the original vector manipulation method, so it is computationally more efficient and straightforward to implement. Four examples involving an analytical solution, laboratory experiments and field-scale measurements are used to test the performance of the proposed scheme. It has been proven that the proposed scheme can provide comparable accuracy and higher efficiency compared to the original vector manipulation method. With the increasing of the number of cells, the advantage of the proposed scheme becomes more apparent. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：576 / 596

页数：21

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