A well-balanced and fully coupled noncapacity model for dam-break flooding
type: Item
instance of: scholarly article
title: A well-balanced and fully coupled noncapacity model for dam-break flooding
zbMATH Open document ID: 1394.86003
DOI: 10.1155/2015/613853
author: Zhiyuan Yue
author: Huaihan Liu
author: Youwei Li
author: Peng Hu
author: Yanyan Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The last two decades have seen great progress in mathematical modeling of fluvial processes and flooding in terms of either approximation of the physical processes or dealing with the numerical difficulties. Yet attention to simultaneously taking advancements of both aspects is rarely paid. Here a well-balanced and fully coupled noncapacity model is presented of dam-break flooding over erodible beds. The governing equations are based on the complete mass and momentum conservation laws, implying fully coupled interactions between the dam-break flow and sediment transport. A well-balanced Godunov-type finite volume method is used to solve the governing equations, facilitating satisfactory representation of the complex flow phenomena. The well-balanced property is attained by using the divergence form of matrix related to the static force for the bottom slope source term. Existing classical tests, including idealized dam-break flooding over irregular topography and experimental dam-break flooding with/without sediment transport, are numerically simulated, showing a satisfactory quantitative performance of this model.
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 6926795
zbMATH Keywords: dam-break flooding
zbMATH Keywords: fluvial processes
Wikidata QID: Q59119114
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/613853
OpenAlex ID: W2088323424
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description: scientific article; zbMATH DE number 6926795