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MLPG_R Method for Numerical Simulation of 2D Breaking Waves

Ma, Q. and Zhou, J. (2009). MLPG_R Method for Numerical Simulation of 2D Breaking Waves. CMES: Computer Modeling in Engineering & Sciences, 43(3), pp. 277-304. doi: 10.3970/cmes.2009.043.277

Abstract

Following our previous work, the Meshless Local Petrov-Galerin method 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.

Publication Type: Article
Publisher Keywords: MLPG_R method; Mixed Particle Number Density and Auxiliary Function Method (MPAM); breaking waves; solitary wave.
Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
Departments: School of Mathematics, Computer Science & Engineering > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/13214
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