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Main Title: An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids
Author(s): Zhao, Jiaheng
Özgen-Xian, Ilhan
Liang, Dongfang
Wang, Tian
Hinkelmann, Reinhard
Type: Article
Language Code: en
Is Part Of: 10.14279/depositonce-8380
Abstract: 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.
Issue Date: 19-Oct-2018
Date Available: 29-Apr-2019
DDC Class: 627 Wasserbau
Subject(s): finite volume method
MUSCL scheme
shallow water
total variation diminishing
unstructured grids
unstrukturierte Gitter
Journal Title: Computers and mathematics with applications
Publisher: Elsevier Science
Publisher Place: Amsterdam
Volume: 77
Issue: 2
Publisher DOI: 10.1016/j.camwa.2018.09.059
Page Start: 576
Page End: 596
ISSN: 0898-1221
Appears in Collections:FG Wasserwirtschaft und Hydrosystemmodellierung » Publications

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