A fast solver for Fokker--Planck equation applied to viscoelastic flows calculations: 2D FENE model

Authors:
Alexei Lozinski;Cédric Chauvière
Affiliations:
LMF-ISE-FSTI, Ecole Polytechnique Fédérale de Lausanne, Lausanne CH-1015, Switzerland;Division of Applied Mathematics, Brown University, Box F, Providence, RI
Venue:
Journal of Computational Physics
Year:
2003

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Abstract

In this paper, we introduce a new method for solving efficiently the Fokker-Planck equation arising in the simulation of dilute polymeric solutions. For a two-dimensional FENE (Finitely Extensible Nonlinear Elastic) model, the structure of the Fokker-Planck equation is used to design a fast solver. The resulting equations are discretized with a spectral/spectral element method. Application of the method to flow of a FENE fluid past a confined cylinder demonstrates readily the advantages of the proposed scheme over traditional stochastic simulations.