1D and 2D numerical modeling for solving dam-break flow problems using finite volume method
type: Item
instance of: scholarly article
title: 1D and 2D numerical modeling for solving dam-break flow problems using finite volume method
zbMATH Open document ID: 1244.76027
DOI: 10.1155/2012/489269
author: Szu-Hsien Peng
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam-break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non-Newtonian fluid or multilayers fluid flow.
Mathematics Subject Classification ID: 76M12
zbMATH DE Number: 6063404
Wikidata QID: Q58905983
describes a project that uses: HLLE
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/489269
OpenAlex ID: W2086504910
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DBLP publication ID: journals/jam/Peng12
description: scientific article; zbMATH DE number 6063404