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

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	A new kernel function for SPH with applications to free surface flows
	Yang XF(杨秀峰); Peng SL(彭世镠); Liu MS; Liu, MS (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst LMFS, Beijing 100190, Peoples R China.
发表期刊	APPLIED MATHEMATICAL MODELLING
	2014-08-01
卷号	38 期号:15-16 页码:3822-3833
ISSN	0307-904X
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.
关键词	Kernel Function Smoothed Particle Hydrodynamics (Sph) Free Surface Flow Meshfree Particle Method
学科领域	Engineering ; Mathematics ; Mechanics
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000340693500011
项目资助者	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).
课题组名称	LMFS冲击与耦合效应(LHO)
论文分区	一类
引用统计	被引频次：56[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49099
专题	流固耦合系统力学重点实验室
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.
推荐引用方式 GB/T 7714	Yang XF,Peng SL,Liu MS,et al. 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,&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.

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