A new kernel function for SPH with applications to free surface flows

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	A new kernel function for SPH with applications to free surface flows
	Yang XF(杨秀峰); Peng SL(彭世镠); Liu MS
刊名	APPLIED MATHEMATICAL MODELLING
	2014-08-01
通讯作者邮箱	liumoubin@imech.ac.cn
卷号	38 期号:15-16 页码:3822-3833
关键词	Kernel function Smoothed particle hydrodynamics (SPH) Free surface flow Meshfree particle method
ISSN号	0307-904X
通讯作者	Liu, MS (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst LMFS, Beijing 100190, Peoples R China.
产权排序	[Yang, X. F.; Liu, M. S.] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst LMFS, Beijing 100190, Peoples R China; [Peng, S. L.] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam LHD, Beijing 100190, Peoples R China
合作状况	国内
中文摘要	Smoothed particle hydrodynamics (SPH) is a popular meshfree Lagrangian particle method, which uses a kernel function for numerical approximations. The kernel function is closely related to the computational accuracy and stability of the SPH method. In this paper, a new kernel function is proposed, which consists of two cosine functions and is referred to as double cosine kernel function. The newly proposed double cosine kernel function is sufficiently smooth, and is associated with an adjustable support domain. It also has smaller second order momentum, and therefore it can have better accuracy in terms of kernel approximation. SPH method with this double cosine kernel function is applied to simulate a dam-break flow and water entry of a horizontal circular cylinder. The obtained SPH results agree very well with the experimental results. The double cosine kernel function is also comparatively studied with two frequently used SPH kernel functions, Gaussian and cubic spline kernel functions. (C) 2014 Elsevier Inc. All rights reserved.
学科主题	Engineering; Mathematics; Mechanics
分类号	一类
收录类别	SCI ; EI
资助信息	This work has been supported by the National Natural Science Foundation of China (11302237, 11172306) and National Defense Innovation Funds of the Chinese Academy of Sciences (Y175031XML).
原文出处	http://dx.doi.org/10.1016/j.apm.2013.12.001
语种	英语
WOS记录号	WOS:000340693500011
公开日期	2014-09-28
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49100]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
推荐引用方式 GB/T 7714	Yang XF,Peng SL,Liu MS. A new kernel function for SPH with applications to free surface flows[J]. APPLIED MATHEMATICAL MODELLING,2014,38(15-16):3822-3833.
APA	Yang XF,Peng SL,&Liu MS.(2014).A new kernel function for SPH with applications to free surface flows.APPLIED MATHEMATICAL MODELLING,38(15-16),3822-3833.
MLA	Yang XF,et al."A new kernel function for SPH with applications to free surface flows".APPLIED MATHEMATICAL MODELLING 38.15-16(2014):3822-3833.