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Appl. Sci. 2018, 8(2), 249; https://doi.org/10.3390/app8020249

Study on SPH Viscosity Term Formulations

1
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
2
School of Mathematics, Computer Science and Engineering, City University of London, London EC1V 0HB, UK
3
State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China
*
Author to whom correspondence should be addressed.
Received: 25 December 2017 / Revised: 20 January 2018 / Accepted: 1 February 2018 / Published: 7 February 2018
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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. View Full-Text
Keywords: lid-driven flow; second-order derivative; SPH; viscosity domination; viscosity term lid-driven flow; second-order derivative; SPH; viscosity domination; viscosity term
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Zheng, X.; Ma, Q.; Shao, S. Study on SPH Viscosity Term Formulations. Appl. Sci. 2018, 8, 249.

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