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

Wojciech Artichowicz; Dzmitry Prybytak

doi:10.1515/heem-2015-0022

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

Archives of Hydro-Engineering and Environmental Mechanics

Volume 62 (2015): Issue 3-4 (December 2015)

By: Wojciech Artichowicz and Dzmitry Prybytak

Open Access

|Mar 2016

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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Articles in this issue

DOI: https://doi.org/10.1515/heem-2015-0022 | Journal eISSN: 2300-8687 | Journal ISSN: 1231-3726

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Language: English

Page range: 101 - 119

Submitted on: Oct 9, 2015

Published on: Mar 17, 2016

Published by: Polish Academy of Sciences, Institute of Hydro-Engineering

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

standard step method,

numerical integration,

initial value problem,

ordinary differential equation,

open channel,

steady gradually varied flow,

energy slope

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2016 Wojciech Artichowicz, Dzmitry Prybytak, published by Polish Academy of Sciences, Institute of Hydro-Engineering
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 62 (2015): Issue 3-4 (December 2015)