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

• Autorzy: Artichowicz W. , Prybytak D.

Identyfikatory

DOI

10.1515/heem-2015-0022

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

standard step method; numerical integration; initial-value problem; ordinary differential equation; open channel; steady gradually varied flow; energy slope

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2015
• Tom: Vol. 62, nr 3-4
• Strony: 101--119
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Artichowicz W.

• Gdansk University of Technology, Faculty of Civil and Environmental Engineering, ul. G. Narutowicza 11/12, 80-233 Gdansk, Poland

autor

Prybytak D.

• Gdansk University of Technology, Faculty of Civil and Environmental Engineering, ul. G. Narutowicza 11/12, 80-233 Gdansk, Poland

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