UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Monday (04/07/2003) at 2:30pm in 304 Pickard Hall

Speaker: Dr. Hua Shan, Department of Civil and Environmental Engineering, University of Central Florida

"A Three-Dimensional Finite Element Model for Numerical Simulation of Free Surface Flows"

Abstract: In the scope of hydraulic/hydrological engineering, many problems are associated with free-surface, such as river flows, lake and estuary flows, coastal flows, tidal and storm surges, and flows in hydraulic structures. Numerical simulation has proven a very useful tool for coast engineering, environmental protection, and disaster planning. The accurate prediction of a simulation relies on appropriately modeling of coastal water circulation, sediment transport, salinity distribution, and dispersion of pollutants.

A three-dimensional finite element model based on Navier-Stokes equations in Arbitrary Lagrangian-Eulerian (ALE) representation has been developed. The moving grid technique is used to solve problems involving free-surface. The free-surface elevation is governed by a kinematic free-surface condition, which is solved as part of the solution. The transport of thermal energy and salinity has also integrated into the model. The model is verified with three examples including lid driven cavity flow, natural convection, and the sloshing problem. It is then illustratively applied to a three-dimensional free surface flow driven by gravity. Finally results from the study of three-dimensional hydrodynamic circulations in a tidal water body the Loxahatchee River Estuary in Florida are presented.

Loxahatchee River Estuary