Open Access

ARTICLE

MLPG Method Based on Rankine Source Solution for Modelling 3D Breaking Waves

J.T. Zhou¹, Q.W. Ma^1,2

1 School of Engineering and Mathematical Sciences, City University London, Northampton Square, London, UK, EC1V 0HB
2 Communication: q.ma@city.ac.uk

Computer Modeling in Engineering & Sciences 2010, 56(2), 179-210. https://doi.org/10.3970/cmes.2010.056.179

Abstract

In this paper, the Meshless Local Petrov-Galerkin method based on Rankine source solution (MLPG_R) is further developed to model 3D breaking waves. For this purpose, the technique for identifying free surface particles called Mixed Particle Number Density and Auxiliary Function Method (MPAM) and the semi-analytical technique for estimating the domain integrals for 2D cases are extended to 3D cases. In addition, a new semi-analytical technique is developed to deal with the local spherical surface integrals. The numerical results obtained by the newly developed method will be compared with experimental data available in literature and satisfactory agreement will be shown.

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Keywords

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