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

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Sébastien Boyaval

    (Université Paris-Est (Ecole des Ponts ParisTech), Laboratoire Saint-Venant
    MICMAC Project, INRIA, Domaine de Voluceau)

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.

Suggested Citation

  • Sébastien Boyaval, 2010. "Lid-Driven-Cavity Simulations of Oldroyd-B Models Using Free-Energy-Dissipative Schemes," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 191-198, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_19
    DOI: 10.1007/978-3-642-11795-4_19
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