ON THE NUMERICAL SIMULATION OF FLOWS OF POLYMER SOLUTIONS USING HIGH-ORDER METHODS BASED ON THE FOKKER-PLANCK EQUATION

Abstract

The present paper provides evidence of the affordability and competitiveness of Fokker-Planck-based methods when compared with stochastic simulation techniques. We apply an FP-based method to solve flow of a FENE fluid past a confined cylinder. We then solve uniaxial extensional flow for a reptation model due to Öttinger1 at a high extensional rate. In both cases the FP method is seen, for comparable levels of accuracy, to cost only a small fraction of the equivalent stochastic approach.