Adaptive Godunov-Based Model for Flood Simulation
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 6
Abstract
Godunov-based shallow-water models utilize a discontinuous reconstruction of data at cell faces even for smooth flow, which can cause energy dissipation and degrade accuracy. Analysis of discrete equations shows that jumps (and therefore error) can be minimized by adaptively selecting either primitive or conservative variables for slope limiting and reconstruction according to the local Froude number. Therefore, a Godunov-based model with an adaptive scheme of slope limiting and variable reconstruction is presented. Two practical flood modeling applications are used to compare the performance of the adaptive scheme against two nonadaptive schemes. In addition, performance of second-order accurate schemes is compared to first-order schemes that utilize a second-order accurate description of terrain. Results show that the first-order adaptive scheme possesses the best combination of robustness, efficiency, and accuracy of the models tested.
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Acknowledgments
B.F.S. was supported on this project by a grant from the National Science Foundation Multi-Disciplinary Center for Earthquake Engineering Research (MCEER),NSF whose support is gratefully acknowledged. The writers also thank the anonymous reviewers who provided useful suggestions for improving the paper.
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Information
Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 6 • June 2008
Pages: 714 - 725
Copyright
© 2008 ASCE.
History
Received: Apr 30, 2007
Accepted: Oct 5, 2007
Published online: Jun 1, 2008
Published in print: Jun 2008
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