| 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.
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| Source Publication | APPLIED MATHEMATICAL MODELLING
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| 2014-08-01 | |
| Volume | 38Issue:15-16Pages:3822-3833 |
| ISSN | 0307-904X |
| Abstract | 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. |
| Keyword | Kernel Function Smoothed Particle Hydrodynamics (Sph) Free Surface Flow Meshfree Particle Method |
| Subject Area | Engineering ; Mathematics ; Mechanics |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000340693500011 |
| Funding Organization | 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). |
| Department | LMFS冲击与耦合效应(LHO) |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49099 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Liu, MS (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst LMFS, Beijing 100190, Peoples R China. |
| Recommended Citation 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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