Performance of High-Resolution, Nonlevel Bed, Shallow-Water Models
Publication: Journal of Engineering Mechanics
Volume 131, Issue 10
Abstract
Several techniques are investigated for extending Roe’s finite volume method to second-order spatial and temporal accuracy in order to better simulate shallow water flow over nonlevel beds. Specifically, methods reported in the literature for limiting and reconstructing dependent variables, discretizing source terms, and time stepping are examined. Steady subcritical and supercritical flow as well as unsteady flow over nonlevel beds is simulated in order to evaluate each methods’ performance in terms of error and computational effort. There is not a single method which minimizes error and computational effort for all test cases. On the contrary, methods that perform best in one application may be suboptimal in another. A general purpose modeling approach that balances accuracy against computational effort is identified and recommended.
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Acknowledgment
B.F.S. was supported on this project by the National Science Foundation (Grant No. NSFCMS-9984579).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 10 • October 2005
Pages: 1073 - 1081
Copyright
© 2005 ASCE.
History
Received: Aug 31, 2004
Accepted: Dec 7, 2004
Published online: Oct 1, 2005
Published in print: Oct 2005
Notes
Note. Associate Editor: Michelle H. Teng
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