Theoretical analysis on the applicability of traditional SPH method

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	Theoretical analysis on the applicability of traditional SPH method
	Zhou GuangZheng; Ge Wei; Li JingHai
刊名	CHINESE SCIENCE BULLETIN
	2013-08-01
卷号	58 期号:24 页码:2970-2978
关键词	smoothed particle hydrodynamics fluid mechanics accuracy Couette flow particle methods
英文摘要	As a fully Lagrangian, particle-based numerical method, the traditional smoothed particle hydrodynamics (SPH) generally suffers from the accuracy problem. To investigate the physical origins of this numerical error, the elastic effect between SPH particles is specifically identified by analogy with physical entities, and a unique non-dimensional number is proposed to evaluate the relative dominance of viscous to elastic effect. Through the simulation of two-dimensional Couette flow, the velocity profile and arrangement of particles are examined for various ratios of viscous to elastic effect. The effective viscosity of SPH particles decreases as this non-dimensional number increases, while the increase of particle number significantly reduces the effective viscosity only at lower ratio of viscous to elastic effect. The disparity among nominal viscous dissipation, total dissipation, and theoretical dissipation further confirms the presence of unphysical dissipation resulting from the elastic effect. In summary, due to the constraints from the Mach number and the ratio of viscous to elastic effect, there exists a critical Reynolds number below which the Newtonian behavior could be approximately obtained through suitable choice of model parameters.
WOS标题词	Science & Technology
类目[WOS]	Multidisciplinary Sciences
研究领域[WOS]	Science & Technology - Other Topics
关键词[WOS]	SMOOTHED PARTICLE HYDRODYNAMICS ; FREE-SURFACE FLOWS ; LOW-REYNOLDS-NUMBER ; APPLIED MECHANICS ; NUMERICAL-SIMULATION ; MOLECULAR-DYNAMICS
收录类别	SCI
语种	英语
WOS记录号	WOS:000323343800011
公开日期	2015-05-27
内容类型	期刊论文
源URL	[http://ir.ipe.ac.cn/handle/122111/13664]
专题	过程工程研究所_研究所（批量导入）
作者单位	Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou GuangZheng,Ge Wei,Li JingHai. Theoretical analysis on the applicability of traditional SPH method[J]. CHINESE SCIENCE BULLETIN,2013,58(24):2970-2978.
APA	Zhou GuangZheng,Ge Wei,&Li JingHai.(2013).Theoretical analysis on the applicability of traditional SPH method.CHINESE SCIENCE BULLETIN,58(24),2970-2978.
MLA	Zhou GuangZheng,et al."Theoretical analysis on the applicability of traditional SPH method".CHINESE SCIENCE BULLETIN 58.24(2013):2970-2978.