(401g) Generalized Brownian Configuration Fields for Fokker-Planck Equations Including Center-of-Mass Diffusion
AIChE Annual Meeting
Wednesday, November 15, 2006 - 2:00pm to 2:15pm
Hulsen, et al. introduced in  the concept of Brownian Configuration Fields for the simulation of stochastic models and flows in complex geometries. Even for homogeneous flows, stochastic models require numerical simulation of either the Fokker-Planck Equation, or their equivalent stochastic differential equations. Brownian configuration fields represented a major advance to CONNFFESSIT methods, allowing excellent variance reduction. We present an alternative argument to show a connection between Fokker-Planck equations in non-homogeneous flows and the Brownian Configuration Fields. Most importantly, the method is used to show how this technique can be generalized to include the effects of center-of-mass diffusion of the polymer chains on stress.
 M. A. Hulsen, B. H. A. A. van den Brule, A. P. G. van Heel, Simulation of viscoelastic flows using Brownian configuration fields, J. Non-Newtonian Fluid Mech. 70 (1-2) (1997) 79?101.