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Symmetry 2017, 9(2), 26; doi:10.3390/sym9020026

A Symmetry Particle Method towards Implicit Non‐Newtonian Fluids

University of Science and Technology Beijing, Xueyuan Road 30, Haidian District, Beijing, China, 100083
Author to whom correspondence should be addressed.
Received: 17 January 2017 / Accepted: 10 February 2017 / Published: 17 February 2017
(This article belongs to the Special Issue Symmetry in Cooperative Applications II)
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In this paper, a symmetry particle method, the smoothed particle hydrodynamics (SPH) method, is extended to deal with non‐Newtonian fluids. First, the viscous liquid is modeled by a non‐Newtonian fluid flow and the variable viscosity under shear stress is determined by the Carreau‐Yasuda model. Then a pressure correction method is proposed, by correcting density error with individual stiffness parameters for each particle, to ensure the incompressibility of fluid. Finally, an implicit method is used to improve efficiency and stability. It is found that the nonNewtonian behavior can be well displayed in all cases, and the proposed SPH algorithm is stable and efficient. View Full-Text
Keywords: symmetry;  cooperation  visualization;  smoothed  particle  hydrodynamics;  nonNewtonian fluid; implicit method symmetry;  cooperation  visualization;  smoothed  particle  hydrodynamics;  nonNewtonian fluid; implicit method

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhang, Y.; Ban, X.; Wang, X.; Liu, X. A Symmetry Particle Method towards Implicit Non‐Newtonian Fluids. Symmetry 2017, 9, 26.

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