TY - EJOU AU - Ma, Q.W. AU - Zhou, J.T. TI - MLPG_R Method for Numerical Simulation of 2D Breaking Waves T2 - Computer Modeling in Engineering \& Sciences PY - 2009 VL - 43 IS - 3 SN - 1526-1506 AB - 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. KW - MLPG_R method KW - Mixed Particle Number Density and Auxiliary Function Method (MPAM) KW - breaking waves KW - solitary wave DO - 10.3970/cmes.2009.043.277