Numerical simulation of solitary wave propagation based on MPS method  

作　　者：LI Shaowu YU Zhi＇ an XIONG Zan 

机构地区：[1]Department of Port and Coastal Engineering, Tianjin University, Tianjin 300072, China

出　　处：《Acta Oceanologica Sinica》2007年第3期121-128,共8页海洋学报（英文版）

基　　金：This work was supported by the Natural Science Foundation of China under No.50479047.

摘　　要：The concept of candidate particle set is introduced in the MPS gridless numerical method to generate neighboring particle set ma- trix, 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.The concept of candidate particle set is introduced in the MPS gridless numerical method to generate neighboring particle set ma- trix, 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.

关 键 词：MPS method candidate particle set Bi-CGSTAB algorithm solitary wave 

分 类 号：P733[天文地球—物理海洋学]