{"title":"Impact of Energy Slope Averaging Methods on Numerical Solution of 1D Steady Gradually Varied Flow","authors":"W. Artichowicz, Dzmitry Prybytak","doi":"10.1515/heem-2015-0022","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, energy slope averaging in the one-dimensional steady gradually varied flow model is considered. For this purpose, different methods of averaging the energy slope between cross-sections are used. The most popular are arithmetic, geometric, harmonic and hydraulic means. However, from the formal viewpoint, the application of different averaging formulas results in different numerical integration formulas. This study examines the basic properties of numerical methods resulting from different types of averaging.","PeriodicalId":53658,"journal":{"name":"Archives of Hydroengineering and Environmental Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/heem-2015-0022","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Hydroengineering and Environmental Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/heem-2015-0022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Environmental Science","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract In this paper, energy slope averaging in the one-dimensional steady gradually varied flow model is considered. For this purpose, different methods of averaging the energy slope between cross-sections are used. The most popular are arithmetic, geometric, harmonic and hydraulic means. However, from the formal viewpoint, the application of different averaging formulas results in different numerical integration formulas. This study examines the basic properties of numerical methods resulting from different types of averaging.
期刊介绍：
Archives of Hydro-Engineering and Environmental Mechanics cover the broad area of disciplines related to hydro-engineering, including: hydrodynamics and hydraulics of inlands and sea waters, hydrology, hydroelasticity, ground-water hydraulics, water contamination, coastal engineering, geotechnical engineering, geomechanics, structural mechanics, etc. The main objective of Archives of Hydro-Engineering and Environmental Mechanics is to provide an up-to-date reference to the engineers and scientists engaged in the applications of mechanics to the analysis of various phenomena appearing in the natural environment.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
