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Main Title: An efficient unstructured MUSCL scheme for solving the 2D shallow water equations
Author(s): Hou, Jingming
Liang, Qiuhua
Zhang, Hongbin
Hinkelmann, Reinhard
Type: Article
Language Code: en
Abstract: The aim of this paper is to present a novel monotone upstream scheme for conservation law (MUSCL) on unstructured grids. The novel edge-based MUSCL scheme is devised to construct the required values at the midpoint of cell edges in a more straightforward and effective way compared to other conventional approaches, by making better use of the geometrical property of the triangular grids. The scheme is incorporated into a two-dimensional (2D) cell-centered Godunov-type finite volume model as proposed in Hou et al. (2013a,c) to solve the shallow water equations (SWEs). The MUSCL scheme renders the model to preserve the well-balanced property and achieve high accuracy and efficiency for shallow flow simulations over uneven terrains. Furthermore, the scheme is directly applicable to all triangular grids. Application to several numerical experiments verifies the efficiency and robustness of the current new MUSCL scheme.
Issue Date: 2015
Date Available: 7-May-2018
DDC Class: 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
627 Wasserbau
Subject(s): MUSCL scheme
shallow water equations
unstructured grids
finite volume method
Godunov-type model
Journal Title: Environmental Modelling and Software
Publisher: Elsevier
Publisher Place: Amsterdam
Volume: 66
Publisher DOI: 10.1016/j.envsoft.2014.12.007
Page Start: 131
Page End: 152
ISSN: 1364-8152
Appears in Collections:FG Wasserwirtschaft und Hydrosystemmodellierung » Publications

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