基于MPS无网格方法的孤立波传播的数值模拟

李绍武; 于志安; 熊赞

基于MPS无网格方法的孤立波传播的数值模拟

天津大学建筑工程学院港口海岸及近海工程系, 天津 300072

基金项目: 国家自然科学基金资助项目(50479047)

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出版历程
- 收稿日期: 2006-08-23
- 修回日期: 2006-12-04

Numerical simulation of solitary wave propagation based on MPS method

School of Civil Engineering, Tianjin University, Tianjin 300072, China

摘要

摘要: 在MPS无网格方法中,引进预定候选粒子集概念用以生成邻接粒子集矩阵,使该部分的机时耗费缩短为引进前的1/11;采用Bi-CGSTAB方法求解压力泊松方程,显著地提高了求解速度.模拟了孤立波在数值波浪水槽中的传播及其与直墙作用时的爬升、回落过程,结果表明模拟波面结果与解析值及实测结果基本相符,针对不同波高的孤立波计算得到的墙前最大爬升值与实测结果也是一致的.
- MPS方法 /
- 候选粒子集 /
- Bi-CGSTAB法 /
- 孤立波
Abstract: The concept of candidate particle list is introduced in the MPS gridless numerical method to generate neighboring particle listmatrix,which reduces the CPU time to 1/11 of the case before the int roduction.The Bi-CGSTAB algorithm is applied to solving the pressure Poisson equation,by which the solving speed is significantly accelerated.Propagations of solitary waves over a numerical flume and the interaction with a vertical wall are simulated.The simulated results of water surface elevation are in good agreement with the analytical solution as well as the measured data.The predicted maxim um values of the run-up of solitary waves with various relative incident wave heights agree well with the measured results.
- MPS method /
- candidate particle list /
- Bi-CGST AB algorithm /
- solitary wave

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