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Robustness of de Saint Venant equations for simulating unsteady flows

By:
, ,
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
Number of Pages:
6
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