Open Access

ARTICLE

MLPG_R Method for Numerical Simulation of 2D Breaking Waves

by Q.W. Ma¹, J.T. Zhou¹

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 2009, 43(3), 277-304. https://doi.org/10.3970/cmes.2009.043.277

Abstract

Following our previous work, the Meshless Local Petrov-Galerin me -thod based on Rankine source solution (MLPG_R) will be extended in this paper to deal with breaking waves. For this purpose, the governing equation for pressure is improved and a new technique called Mixed Particle Number Density and Auxiliary Function Method (MPAM) is suggested for identifying the free surface particles. Due to complexity of the problem, two dimensional (2D) breaking waves are only concerned here. Various cases are investigated and some numerical results are compared with experimental data available in literature to show the newly developed method is robust.

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