{"title":"General shallow water equations (GSWEs)","authors":"D. Pokrajac","doi":"10.1080/00221686.2023.2224756","DOIUrl":null,"url":null,"abstract":"Shallow water equations (SWEs) have been traditionally derived by integrating fundamental flow equations over a flow profile above a single point in a horizontal or nearly horizontal plane, with the main assumptions that the profile thickness is much smaller than other two dimensions and it contains only water. This paper presents the derivation of generalized SWEs (GSWEs) obtained for a finite plan area, allowing for the presence of phases other than water, such as air, grains, vegetation, and debris, which can be either stationary or mobile. The derivation provides a rigorous basis for various applications of layer-averaged models and opens numerous research questions, some of which are highlighted in the paper.","PeriodicalId":54802,"journal":{"name":"Journal of Hydraulic Research","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Hydraulic Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/00221686.2023.2224756","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
Shallow water equations (SWEs) have been traditionally derived by integrating fundamental flow equations over a flow profile above a single point in a horizontal or nearly horizontal plane, with the main assumptions that the profile thickness is much smaller than other two dimensions and it contains only water. This paper presents the derivation of generalized SWEs (GSWEs) obtained for a finite plan area, allowing for the presence of phases other than water, such as air, grains, vegetation, and debris, which can be either stationary or mobile. The derivation provides a rigorous basis for various applications of layer-averaged models and opens numerous research questions, some of which are highlighted in the paper.
期刊介绍：
The Journal of Hydraulic Research (JHR) is the flagship journal of the International Association for Hydro-Environment Engineering and Research (IAHR). It publishes research papers in theoretical, experimental and computational hydraulics and fluid mechanics, particularly relating to rivers, lakes, estuaries, coasts, constructed waterways, and some internal flows such as pipe flows. To reflect current tendencies in water research, outcomes of interdisciplinary hydro-environment studies with a strong fluid mechanical component are especially invited. Although the preference is given to the fundamental issues, the papers focusing on important unconventional or emerging applications of broad interest are also welcome.
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