Numerical stability of the method of Brownian configuration fields

Claude Mangoubi*, Martien A. Hulsen, Raz Kupferman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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].

Original languageAmerican English
Pages (from-to)188-196
Number of pages9
JournalJournal of Non-Newtonian Fluid Mechanics
Issue number3
StatePublished - Apr 2009

Bibliographical note

Funding Information:
RK and CM were partially supported by the Israel Science Foundation. Part of this research was done while CM stayed at the Université de Montréal, Canada and at the CERMICS, ENPC, France. We thank the referees for useful comments.


  • Brownian configuration fields
  • Finite element method
  • Flow around a cylinder
  • Numerical stability


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