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|Title:||Viscoelastic mobility problem of a system of particles|
|Keywords:||Distributed Lagrange multiplier|
Fictitious domain method
|Source:||Yu, Z., Phan-Thien, N., Fan, Y., Tanner, R.I. (2002-06-01). Viscoelastic mobility problem of a system of particles. Journal of Non-Newtonian Fluid Mechanics 104 (2-3) : 87-124. ScholarBank@NUS Repository. https://doi.org/10.1016/S0377-0257(02)00014-9|
|Abstract:||In this paper we present a new implementation of the distributed Lagrange multiplier/fictitious domain (DLM) method by making some modifications over the original algorithm for the Newtonian case developed by Glowinski et al. [Int. J. Multiphase Flow 25 (1999) 755], and its extended version for the viscoelastic case by Singh et al. [J. Non-Newtonian Fluid Mech. 91 (2000) 165]. The key modification is to replace a finite-element triangulation for the velocity and a "staggered" (twice coarser) triangulation for the pressure with a rectangular discretization for the velocity and the pressure. The sedimentation of a single circular particle in a Newtonian fluid at different Reynolds numbers, sedimentation of particles in the Oldroyd-B fluid, and lateral migration of a single particle in a Poiseuille flow of a Newtonian fluid are numerically simulated with our code. The results show that the new implementation can give a more accurate prediction of the motion of particles compared to the previous DLM codes and even the boundary-fitted methods in some cases. The centering of a particle and the well-organized Karman vortex street are observed at high Reynolds numbers in our simulation of a particle sedimenting in a Newtonian fluid. Both results obtained using the DLM method and the spectral element method reveal that the direct contribution of the viscoelastic normal stress to the force on a particle in the Oldroyd-B fluid is very important. © 2002 Elsevier Science B.V. All rights reserved.|
|Source Title:||Journal of Non-Newtonian Fluid Mechanics|
|Appears in Collections:||Staff Publications|
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