Numerical simulation of solitary wave propagation based on MPS method

The concept of candidate particle set is introduced in the MPS gridless numerical method to generate neighboring particle setmatrix,which can reduce the CPU time to 1/11 of that before introduction.The Bi-CGSTAB (bi-conjugate gradient stabilized) algorithm is applied to solving the Poisson pressure equation,by which the solving speed is significantly accelerated.The process of solitary waves propagating over a numerical flume and interacting with a vertical wall is simulated.The simulated results of water surface elevation are in good agreement with the analytical solution as well as the measured data.The predicted maximum values of the run-up of solitary waves with various relative incident wave heights agree well with the measured results.