The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations
(1998) Journal of Non-Newtonian Fluid Mechanics — Vol. 79, n° 2-3, p. 387-403 (1998)
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- Abstract
- 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.
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Citations
Halin, P., Lielens, G., Keunings, R., & Legat, V. (1998). The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations. Journal of Non-Newtonian Fluid Mechanics, 79(2-3), 387-403. https://doi.org/10.1016/S0377-0257(98)00123-2 (Original work published 1998)