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Numerical Mathematics and Advanced Applications 2009 pp 191–198Cite as

Lid-Driven-Cavity Simulations of Oldroyd-B Models Using Free-Energy-Dissipative Schemes

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Abstract

In this work, we report on numerical tests in keeping with the study [Boyaval, Lelièvre, and Mangoubi, Free-energy-dissipative schemes for the Oldroyd-B model, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 43(3): 523–561, 2009], about Finite-Element discretizations of the Oldroyd-B system (for viscoelastic flows of some non-Newtonian fluids) which are stable in the sense of free-energy dissipation.

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References

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Author information

Authors and Affiliations

  1. Laboratoire Saint-Venant, Université Paris-Est (Ecole des Ponts ParisTech), 6 & 8 Avenue Blaise Pascal, Cité Descartes, 77455, Marne-la-Vallée Cedex 2, France

    Sébastien Boyaval

  2. MICMAC Project, INRIA, Domaine de Voluceau, BP. 105 – Rocquencourt, 78153, Le Chesnay Cedex, France

    Sébastien Boyaval

Authors
  1. Sébastien Boyaval
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Corresponding author

Correspondence to Sébastien Boyaval .

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Editors and Affiliations

  1. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Gunilla Kreiss

  2. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Per Lötstedt

  3. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Axel Målqvist

  4. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Maya Neytcheva

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Boyaval, S. (2010). Lid-Driven-Cavity Simulations of Oldroyd-B Models Using Free-Energy-Dissipative Schemes. In: Kreiss, G., Lötstedt, P., Målqvist, A., Neytcheva, M. (eds) Numerical Mathematics and Advanced Applications 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11795-4_19

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