3-D Free Surface Flow Modeling by Efficient Finite Element Method

by Sam S. -Y. Wang, Univ of Mississippi, University, United States,
K. K. Hu, Univ of Mississippi, University, United States,
R. Mayerle, Univ of Mississippi, University, United States,

Document Type: Proceeding Paper

Part of: Hydraulic Engineering


3-D free surface flows in highly irregular boundary configurations are among the most difficult natural phenomena to be simulated by mathematical modeling. Not only the problems of accuracy, nonlinearity, numerical stability need to be overcome; but also the computing efficiency or cost-effectiveness needs to be addressed. This paper is to report the latest findings of the Center for Computational Hydroscience and Engineering at The University of Mississippi on the development as well as refinements of the 3-D free surface flow models. It includes new model formulating methodologies, new interpolating functions with sufficient flexibility and upwinding capability, and improved Galerkin scheme for enhancing the numerical stability.

Subject Headings: Finite element method | Three-dimensional models | Three-dimensional flow | Free surfaces | Overland flow | Free flow | Terrain models | Numerical methods

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