Halin, P
Lielens, G.
Keunings, Roland
[UCL]
Legat, Vincent
[UCL]
We propose a new numerical technique, referred to as the Lagrangian Particle Method (LPM), for computing time-dependent viscoelastic flows using either a differential constitutive equation (macroscopic approach) or a kinetic theory model (micro-macro approach). In LPM, the Eulerian finite element solution of the conservation equations is decoupled from the Lagrangian computation of the extra-stress at a number of discrete particles convected by the flow. In the macroscopic approach, the extra-stress carried by the particles is obtained by integrating the constitutive equation along the particle trajectories. In the micro-macro approach, the extra-stress is computed by solving along the particle paths the stochastic differential equation associated with the kinetic theory model. Results are given for the start-up flow between slightly eccentric rotating cylinders, using the FENE and FENE-P dumbbell models for dilute polymer solutions. (C) 1998 Elsevier Science B.V. All rights reserved.
Bibliographic reference |
Halin, P ; Lielens, G. ; Keunings, Roland ; Legat, Vincent. The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations. In: Journal of Non-Newtonian Fluid Mechanics, Vol. 79, no. 2-3, p. 387-403 (1998) |
Permanent URL |
http://hdl.handle.net/2078.1/44965 |