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DDFV method for Navier–Stokes problem with outflow boundary conditions

  • Thierry GoudonEmail author
  • Stella Krell
  • Giulia Lissoni
Article
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Abstract

We propose a Discrete Duality Finite Volume scheme (DDFV for short) for the unsteady incompressible Navier–Stokes problem with outflow boundary conditions. As in the continuous case, those conditions are derived from a weak formulation of the equations and they provide an energy estimate of the solution. We prove well-posedness of the scheme and a discrete energy estimate. Finally we perform some numerical tests simulating the flow behind a cylinder inside a long channel to show the robustness of such conditions in the DDFV framework.

Mathematics Subject Classification

76M12 65M08 35Q30 76D05 65M12 

Notes

Acknowledgements

We express our gratitude to Franck Boyer for his useful help during the preparation of this work.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Université Côte d’Azur, Inria, CNRS, LJAD, Parc ValroseNiceFrance

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