標題: A penalty immersed boundary method for viscoelastic particulate flows
作者: Kim, Yongsam
Lai, Ming-Chih
Seol, Yunchang
應用數學系
丘成桐中心
Department of Applied Mathematics
Shing-Tung Yau Center
關鍵字: Rigid particle;Penalty idea;Immersed boundary method;Oldroyd-B fluid
公開日期: 1-八月-2018
摘要: We extend the penalty immersed boundary (pIB) method to investigate the interaction between circular rigid particles and a surrounding viscoelastic Oldroyd-B fluid. The basic idea of the pIB method is the splitting of an immersed boundary, which here is a rigid body, notionally into two Lagrangian components: one is a massive component carrying all mass of the rigid body, and the other is massless. These two components are connected by a system of stiff springs with zero rest length. The massive component has no direct interaction with the surrounding fluid and behaves as though in a vacuum, following the dynamics of a rigid body, in which the acting forces and torques are generated from the system of stiff springs that connects the two Lagrangian components. The massless component interacts with the surrounding Oldroyd-B fluid: it moves at the local fluid velocity and exerts force locally on the fluid. We verify the pIB method combined with Oldroyd-B fluid model by investigating the effects of the wall and elasticity of the fluid on the lateral position of a circular particle falling under the influence of gravity and by studying convergence of the numerical solutions. We also simulate the interaction between multiple circular particles and the surrounding Oldroyd-B fluid and compare the dynamics of the particles in various flow conditions.
URI: http://dx.doi.org/10.1016/j.jnnfm.2018.04.010
http://hdl.handle.net/11536/147969
ISSN: 0377-0257
DOI: 10.1016/j.jnnfm.2018.04.010
期刊: JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume: 258
起始頁: 32
結束頁: 44
顯示於類別:期刊論文