Lattice fokker plank method for complex fluids

Abstract

The constitutive relations used in numerical modeling of coupled polymeric solution are mostly obtained by a pre-averaging approximation of the underlying micro-mechanical model for polymer. However, in time-dependent elongational flows, such models are known to deviate from the predictions obtained by the original micro-mechanical models. An alternate approach, where one couples the macroscopic flow solver with microscopic Brownian dynamics simulations, is increasingly being used. In such an approach, the ensemble-averaged configuration statistics are obtained by solving the system of Langevin equations for the polymer which are then coupled with the Navier-Stokes description for the solvent.