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Robustness of de Saint Venant equations for simulating unsteady flows

By: , and 
Edited by: Espey William H.Combs Phil G.

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Abstract

Long-wave motion in open channels can be expressed mathematically by the one-dimensional de Saint Venant equations describing conservation of fluid mass and momentum. Numerical simulation models, based on either depth/velocity or water-level/discharge dependent-variable formulations of these equations, are typically used to simulate unsteady open-channel flow. However, the implications and significance of selecting either dependent-variable form - on model development, discretization and numerical solution processes, and ultimately on the range-of-application and simulation utility of resulting models - are not well known. Results obtained from a set of numerical experiments employing two models - one based on depth/velocity and the other on water-level/discharge equation formulations - reveal the sensitivity of the two equation sets to various channel properties and dynamic flow conditions. In particular, the effects of channel gradient, channel width-to-depth ratio, flow-resistance coefficient, and flow unsteadiness are analyzed and discussed.

Additional publication details

Publication type Conference Paper
Publication Subtype Conference Paper
Title Robustness of de Saint Venant equations for simulating unsteady flows
Volume 1
Year Published 1995
Language English
Publisher ASCE
Publisher location New York, NY, United States
Larger Work Title International Water Resources Engineering Conference - Proceedings
First page 139
Last page 144
Conference Title Proceedings of the 1st International Conference on Water Resources. Part 1 (of 2)
Conference Location San Antonio, TX, USA
Conference Date 14 August 1995 through 18 August 1995
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