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Appl. Sci. 2018, 8(2), 249;

Study on SPH Viscosity Term Formulations

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
School of Mathematics, Computer Science and Engineering, City University of London, London EC1V 0HB, UK
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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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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