화학공학소재연구정보센터
Journal of Non-Newtonian Fluid Mechanics, Vol.79, No.2-3, 387-403, 1998
The Lagrangian particle method for macroscopic and micro-macro viscoelastic flow computations
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.