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Theoretical analysis on the applicability of traditional SPH method
Zhou GuangZheng; Ge Wei; Li JingHai
2013-08-01
Source PublicationCHINESE SCIENCE BULLETIN
Volume58Issue:24Pages:2970-2978
AbstractAs 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.
KeywordSmoothed Particle Hydrodynamics Fluid Mechanics Accuracy Couette Flow Particle Methods
SubtypeArticle
WOS HeadingsScience & Technology
Indexed BySCI
Language英语
WOS KeywordSMOOTHED PARTICLE HYDRODYNAMICS ; FREE-SURFACE FLOWS ; LOW-REYNOLDS-NUMBER ; APPLIED MECHANICS ; NUMERICAL-SIMULATION ; MOLECULAR-DYNAMICS
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000323343800011
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ipe.ac.cn/handle/122111/13664
Collection研究所(批量导入)
AffiliationChinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
Recommended Citation
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.
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