Robustness of de Saint Venant equations for simulating unsteady flows
By: Robert A. Baltzer, Raymond W. Schaffranek, and Chintu Lai
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.
| 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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