An adaptive remeshing strategy for viscoelastic fluid flow simulations

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Journal titleJournal of Non-Newtonian Fluid Mechanics
Pages3445; # of pages: 12
SubjectViscoelastic fluids; High Weissenberg problem; Log-conformation formation; Error estimation; Adaptive remeshing; Finite element math
AbstractIn the last few years, we have developed a fairly general adaptive finite element solution procedure which can be applied to a large variety of problems. In this paper, this strategy is briefly recalled and applied to the solution of two-dimensional viscoelastic fluid flow problems. A log-conformation formulation recently introduced by Fattal and Kupferman [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at highWeissenberg number using the log-conformation representation, J. Non-Newtonian Fluid Mech. 126 (2005) 23-37] was implemented in order to improve the convergence properties of the numerical scheme. We confirm some results obtained in Hulsen, Fattal and Kupferman [M. Hulsen, R. Fattal, R. Kupferman, Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithm, J. Non-Newtonian Fluid Mech. 127 (2005) 27-39] and in some instances, we show that mesh adaptation allows to almost automatically reproduce accurate results obtained on very fine structured meshes.
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AffiliationNational Research Council Canada (NRC-CNRC); NRC Industrial Materials Institute
Peer reviewedYes
NRC number50515
NPARC number15859841
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Record identifier0dd9f36b-9236-4519-a84f-554ed761dbc6
Record created2010-07-30
Record modified2016-05-09
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