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Impact of Energy Slope Averaging Methods on Numerical Solution of 1D Steady Gradually Varied Flow

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.

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DOI:
Digital Object Identifier (open in new tab) 10.1515/heem-2015-0022
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Details

Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Archives of Hydro-Engineering and Environmental Mechanics no. 62, edition 3-4, pages 101 - 119,
ISSN: 1231-3726
Language:
English
Publication year:
2015
Bibliographic description:
Artichowicz W., Prybytak D.: Impact of Energy Slope Averaging Methods on Numerical Solution of 1D Steady Gradually Varied Flow// Archives of Hydro-Engineering and Environmental Mechanics. -Vol. 62., iss. 3-4 (2015), s.101-119
DOI:
Digital Object Identifier (open in new tab) 10.1515/heem-2015-0022
Verified by:
Gdańsk University of Technology

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