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Numerical Generation of Freak Waves Using MLPG_R and QALE-FEM Methods

Q.W. Ma1
School of Engineering and Mathematical Sciences, CityUniversity, Northampton Square, London EC1V 0HB,UK. E-Mail: q.ma@city.ac.uk. Personal home page:http://www.staff.city.ac.uk/q.ma/

Computer Modeling in Engineering & Sciences 2007, 18(3), 223-234. https://doi.org/10.3970/cmes.2007.018.223

Abstract

Two methods have been recently developed by the author and his group: one called MLPG_R (Meshless Local Petrov-Galerkin method based on Rankine source solution) and the other called QALE-FEM (Quasi Arbitrary Lagrangian-Eulerian Finite Element Method). The former is a meshless method developed from a general MLPG (Meshless Local Petrov-Galerkin) method and is more computationally efficient than the general one when applied to modelling nonlinear water waves. The later is a mesh-based method similar to a conventional finite element method (FEM) when discretizing the governing equations but different from the conventional one in managing the mesh. In this paper, they are applied to simulate freak waves, which has yet been done before. Comparison is made between results from these two methods and between their results and those from experiments available in literature. Good agreement is achieved.

Keywords

Freak waves, MLPG_R, QALE-FEM, nonlinear water waves.

Cite This Article

Ma, Q. (2007). Numerical Generation of Freak Waves Using MLPG_R and QALE-FEM Methods. CMES-Computer Modeling in Engineering & Sciences, 18(3), 223–234.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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