Numerical stability of the method of Brownian configuration fields |
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| Authors: | Claude Mangoubi Martien A. Hulsen Raz Kupferman |
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| Affiliation: | 1. Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel;2. CERMICS, École Nationale des Ponts et Chaussées, 77455 Marne la Vallée, France;3. Materials Technology, Eindhoven University of Technology, P.O. Box 513, 5600MB, Eindhoven, The Netherlands |
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| Abstract: | We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23–37]. |
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| Keywords: | Brownian configuration fields Finite element method Flow around a cylinder Numerical stability |
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