Theoretical analysis on the applicability of traditional SPH method

被引:9
作者
Zhou GuangZheng [1 ]
Ge Wei [1 ]
Li JingHai [1 ]
机构
[1] Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
来源
CHINESE SCIENCE BULLETIN | 2013年 / 58卷 / 24期
基金
中国国家自然科学基金;
关键词
smoothed particle hydrodynamics; fluid mechanics; accuracy; Couette flow; particle methods; SMOOTHED PARTICLE HYDRODYNAMICS; FREE-SURFACE FLOWS; NUMERICAL-SIMULATION; MOLECULAR-DYNAMICS;
D O I
10.1007/s11434-013-5889-9
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
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.
引用
收藏
页码:2970 / 2978
页数:9
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