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Free-energy-dissipative schemes for the Oldroyd-B model

Sébastien BoyavalTony LelièvreClaude Mangoubi — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

In this article, we analyze the stability of various numerical schemes for differential models of viscoelastic fluids. More precisely, we consider the prototypical Oldroyd-B model, for which a dissipation holds, and we show under which assumptions such a dissipation is also satisfied for the numerical scheme. Among the numerical schemes we analyze, we consider some discretizations based on the of the Oldroyd-B system proposed by Fattal and Kupferman in [ (2004) 281–285],...

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