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International Conference on Finite Volumes for Complex Applications

FVCA 2017: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems pp 3–11Cite as

A Weighted Splitting Approach for Low-Mach Number Flows

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

Abstract

In steady-state regimes, water circulating in the nuclear power plants pipes behaves as a low Mach number flow. However, when steep phenomena occur, strong shock waves are produced. Herein, a fractional step approach allowing to decouple the convective from the acoustic effects is proposed. The originality is that the splitting between these two parts of the physics evolves dynamically in time according to the Mach number. The first one-dimensional explicit and implicit numerical results on a wide panel of Mach numbers show that this approach is as accurate and CPU-consuming as a state of the art Lagrange-Projection-type method.

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References

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Acknowledgements

D. Iampietro received a financial support by ANRT through an EDF-CIFRE contract 2015/0561. Numerical facilities were provided by EDF.

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Authors and Affiliations

  1. EDF Lab Saclay, 7 Boulevard Gaspard Monge, 92120, Palaiseau, France

    David Iampietro & Frédéric Daude

  2. EDF Lab Chatou, 6 Quai Watier, 78400, Chatou, France

    Jean-Marc Hérard

  3. I2M, UMR CNRS, 7373 Technople Château-Gombert 39, Rue F. Joliot Curie, 13453, Marseille, France

    David Iampietro & Jean-Marc Hérard

  4. CEA DEN/DANS/DM2S/SEMT/DYN, 91190, Saclay, France

    Pascal Galon

Authors
  1. David Iampietro
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  2. Frédéric Daude
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  3. Pascal Galon
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  4. Jean-Marc Hérard
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Corresponding author

Correspondence to David Iampietro .

Editor information

Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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© 2017 Springer International Publishing AG

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Iampietro, D., Daude, F., Galon, P., Hérard, JM. (2017). A Weighted Splitting Approach for Low-Mach Number Flows. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_1

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