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基于MPS无网格方法的孤立波传播的数值模拟
引用本文: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[J].海洋学报,2007,29(2):137-142.
作者姓名:李绍武  于志安  熊赞
作者单位:天津大学建筑工程学院港口海岸及近海工程系, 天津 300072
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.

关 键 词:MPS方法    候选粒子集    Bi-CGSTAB法    孤立波
文章编号:0253-4193(2007)02-0137-06
收稿时间:2006/8/23 0:00:00
修稿时间:2006-08-232006-12-04

Numerical simulation of solitary wave propagation based on MPS method
LI Shao-wu,YU Zhi-an and XIONG Zan.Numerical simulation of solitary wave propagation based on MPS method[J].Acta Oceanologica Sinica (in Chinese),2007,29(2):137-142.
Authors:LI Shao-wu  YU Zhi-an and XIONG Zan
Affiliation:School of Civil Engineering, Tianjin University, Tianjin 300072, China
Abstract:The concept of candidate particle list is introduced in the MPS gridless numerical method to generate neighboring particle list matrix,which reduces the CPU time to 1/11 of the case before the introduction.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 maximum values of the run-up of solitary waves with various relative incident wave heights agree well with the measured results.
Keywords:MPS method  candidate particle list  Bi-CGSTAB algorithm  solitary wave
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