Explicit Finite Element Model for Long Water Waves

by C.-T. Wu, Univ of Michigan, Dep of Civil, Engineering, Ann Arbor, MI, USA,
N. D. Katopodes, Univ of Michigan, Dep of Civil, Engineering, Ann Arbor, MI, USA,



Document Type: Proceeding Paper

Part of: Hydraulics and Hydrology in the Small Computer Age

Abstract:

An explicit finite element model for free-surface flow is presented. The model is capable of simulating long waves of various orders of approximation in one and two space dimensions. The method employs linear elements for the spatial discretization and a second-order accurate scheme for the integration in time. The resulting algebraic equations are linear and can be grouped in small uncoupled systems of equations, which reduces the real memory requirements substantially. In addition, no iterative solution is needed, which allows the efficient use of low-speed computers for the application of the model to complicated problems.

Subject Headings: Water waves | Finite element method | Long waves | Water conservation | Open channel flow | Model accuracy | Mathematics

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