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Study on SPH Viscosity Term Formulations

Zheng, X., Ma, Q. ORCID: 0000-0001-5579-6454 and Shao, S. (2018). Study on SPH Viscosity Term Formulations. Applied Sciences, 8(2), 249.. doi: 10.3390/app8020249

Abstract

For viscosity-dominated flows, the viscous effect plays a much more important role. Since the viscosity term in SPH-governing (Smoothed Particle Hydrodynamics) equations involves the discretization of a second-order derivative, its treatment could be much more challenging than that of a first-order derivative, such as the pressure gradient. The present paper summarizes a series of improved methods for modeling the second-order viscosity force term. By using a benchmark patch test, the numerical accuracy and efficiency of different approaches are evaluated under both uniform and non-uniform particle configurations. Then these viscosity force models are used to compute a documented lid-driven cavity flow and its interaction with a cylinder, from which the most recommended viscosity term formulation has been identified.

Publication Type: Article
Publisher Keywords: lid-driven flow; second-order derivative; SPH; viscosity domination; viscosity term
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Civil Engineering
URI: https://openaccess.city.ac.uk/id/eprint/21482
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