K2_SPH method and its application for 2-D water wave simulation

被引：1

作者：

Hu Z. ^{[1
]}

Zheng X. ^{[1
]}

Duan W. ^{[1
]}

Ma Q. ^{[2
]}

机构：

[1] College of Shipbuilding Engineering, Harbin Engineering University

[2] School of Engineering and Mathematical Science, City University

来源：

Journal of Marine Science and Application | 2011年 / 10卷 / 4期

基金：

中国国家自然科学基金;

关键词：

K2_SPH; meshless method; SPH; water wave simulation;

D O I：

10.1007/s11804-011-1085-y

中图分类号：

学科分类号：

摘要：

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian meshless particle method. However, its low accuracy of kernel approximation when particles are distributed disorderly or located near the boundary is an obstacle standing in the way of its wide application. Adopting the Taylor series expansion method and solving the integral equation matrix, the second order kernel approximation method can be obtained, namely K2_SPH, which is discussed in this paper. This method is similar to the Finite Particle Method. With the improvement of kernel approximation, some numerical techniques should be adopted for different types of boundaries, such as a free surface boundary and solid boundary, which are two key numerical techniques of K2_SPH for water wave simulation. This paper gives some numerical results of two dimensional water wave simulations involving standing wave and sloshing tank problems by using K2_SPH. From the comparison of simulation results, the K2_SPH method is more reliable than standard SPH. © 2011 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.

引用

页码：399 / 412

页数：13

共 58 条

[1]

Atluri S.N., Shen S., The Meshless Local Petrove-Galerkin (MLPG) method: a simple less-costly alternative to the finite element and boundary element methods, Computer Modeling in Engineering & Sciences, 3, 1, pp. 11-52, (2002)

[2]

Atluri S.N., Zhu T., A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics, Comput. Mech., 22, pp. 117-127, (1998)

[3]

Belytschko T., Lu Y.Y., Gu L., Element free Galerkin method, Int. J. Num. Meth. Engng., 37, pp. 229-256, (1994)

[4]

Benz W., Asphaug E., Simulations of brittle solids using smooth particle hydrodynamics, Comput. Phys. Commun., 87, pp. 253-265, (1995)

[5]

Chen J.K., Beraun J.E., Jih C.J., An improvement for tensile instability in smoothed particle hydrodynamics, Computational Mechanics, 23, pp. 279-287, (1999)

[6]

Chen J.K., Beraun J.E., Jih C.J., A corrective smoothed particle method for boundary value problems in heat conduction, Int. J. Numer. Meth. Engng., 46, pp. 231-252, (1999)

[7]

Cleary P.W., Monaghan J.J., Conduction modeling using smoothed particle hydrodynamics, J. Comput. Phys., 148, pp. 227-264, (1999)

[8]

Colagrossi A., Landrini M., Numerical simulation of interfacial flow by Smoothed Particle Hydrodynamics, J. Computational Physic., 191, pp. 448-475, (2003)

[9]

Cummins S.J., Rudman M., An SPH projection method, J. Comput. Phys., 152, pp. 584-607, (1999)

[10]

Ellero M., Kroger M., Hess S., Viscoelastic flows studied by smoothed particle dynamics, J. Non-Newtonian Fluid Mech., 105, pp. 35-51, (2002)

← 1 2 3 4 5 6 →