Abstract
In this paper we present a new approach for calculating viscoelastic flows. This method is derived from the Brownian configuration field method [M. A. Hulsen, A. P. G. Van Heel, and B. H. A. A. Van Den Brule, J. Non-Newtonian Fluid Mech., 70 (1997), pp. 79--101] for the simulation of flows of dilute polymeric solutions. The method presented here has the same attractive features as those in a previous work [C. Chauviere, SIAM J. Sci. Comput., 23 (2002), pp. 2123--2140], i.e., improved stability in comparison with traditional methods starting from closed-form constitutive equations. Moreover, the method developed here has the additional advantage of being significantly more CPU efficient. Results are presented by solving the benchmark problem of the flow of an Oldroyd-B fluid past a cylinder in a channel using a spectral element method to demonstrate the advantages of the proposed method.
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