A Symmetry Particle Method towards Implicit Non-Newtonian Fluids

作者：Zhang, Yalan; Ban, Xiaojuan^*; Wang, Xiaokun; Liu, Xing

来源：Symmetry-Basel, 2017, 9(2): 26.

DOI：10.3390/sym9020026

• symmetry
• cooperation visualization
• smoothed particle hydrodynamics (SPHs)
• non-Newtonian fluid
• implicit method

In this paper, a symmetry particle method, the smoothed particle hydrodynamics (SPHs) 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 non-Newtonian behavior can be well displayed in all cases, and the proposed SPH algorithm is stable and efficient.

• 出版日期2017-2
• 单位北京科技大学