Explicit Finite Element Model for Long Water Wavesby 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,
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: Finite element method | Water waves | Long waves | Linear functions | Computer models | Linear flow | Free surfaces | Simulation models
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