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)

计量
- 文章访问数: 670
- HTML全文浏览量: 28
- PDF下载量: 1078
- 被引次数: 0
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

HTML全文

参考文献(19)

李绍武,尹振军.N-S方程的数值解法及其在水波动力学中应用的综述[J].海洋通报,2004,23(4):79-85.

OSHER S,SHU C.High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations.Journal of Numerical Analysis,1991,29:907-922.

JIANG Guang-shan,PENG Dan-ping.Weighted ENO schemes for Hamilton-Jacobi equations.Journal of Scientific Computing,2000,21 (6):2 126-2 143.

LUCY L B.A numerical approach to the testing of the fission hypothesis[J].Journal of Astronomy,1977,82(12):1 013-1 024.

MONAGHAN J J,KOS A.Solitary waves on a Cretan beach[J].Journal of Water Way,Port,Coastal and Ocean Engineering,1999,125(3):145-154.

ZHU Yi,FOX P J,MORRIS J P.A pore-scale numerical model for flow through porous media[J].International Journal for Numerical and Analytical Methods in Geomechanics,1999,23:881-904.

SHAO Song-dong,EDMOND Y M L.Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface[J].Advances in Water Resources,2003,26:787-800.

KOSHIZUKA S,TAMAKO H.Moving-particle semi-implicit method for fragmentation of incompressible fluid[J].Nuclear Science Engineering,1996,123:421-434.

KOSHIZUKA S,TAMAKO H,OKAY.A particle method for incompressible viscous flow with fluid fragmentation[J].Computational Fluid Dynamics Journal,1995,4(1):29-46.

KOSHIZUKA S,ATSUSHI N,YOSHIAKI O.Numerical analysis of breaking waves using the moving particle semi-implicit method[J].International Journal for Numerical Methods in Fluids,1998,26:751-769.

GOTOH H,FREDS(o) E J.Lagrangian two-phase flow model of the settling behavior of fine sediment dumped into water[A].Proceedings of the 27th ICCE[C].Sydney:2000.3 906-3 919.

HAYASHI M,GOTOH H,MEMITA T,et al.Gridless numerical analysis of wave breaking and overtopping at upright seawall[A].Proceedings of the 27th ICCE[C].Sydney:2000.2 100-2 113.

GOTOH H,SHIBAHARA T,SAKAI T.Sub-particle-scale turbulence model for the MPS method-Lagrangian flow model for hydraulic engineering[J].Computational Fluid Dynamics Journal,2001,9(4):339-347.

GOTOH H,IKARI H,SAKAI T.Simulation of plunging breaker by 3D MPS method[A].Proceedings of the Third International Conference on Asian and Pacific Coasts[C].Seoul:2005.857-868.

李绍武,尹振军.无网格数值方法在结构物水动力研究中的应用[J].水科学进展,2004,15(6):739-744.

李绍武,熊赞,武霄.MPS水流数学模型在冲击压力计算中的应用研究[J].天津大学学报,2006,39(9):1 031-1 036.

胡谋法,陈曾平.BICGSTAB算法在波前重构和控制中的应用[J].光电工程,2004,31(11):1-4.

肖波.孤立波的实验室产生及其理论的有效性[J].港口工程,1991,2:19-24.

CHAN K C,STREET R L.A computer study of finite amplitude water wave[J].Journal of Computational Physics,1970,6:68-94.

施引文献

资源附件(0)

访问统计