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A Relaxation Method for a Two Phase Flow with Surface Tension

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • C. Berthon

    (MAB, UMR 5466
    Domaine de Voluceau-Rocquencourt, INRIA Futurs, projet ScAlApplix)

  • B. Braconnier

    (MAB, UMR 5466
    Domaine de Voluceau-Rocquencourt, INRIA Futurs, projet ScAlApplix
    CEA CESTA)

  • J. Claudel

    (CEA CESTA)

  • B. Nkonga

    (MAB, UMR 5466
    Domaine de Voluceau-Rocquencourt, INRIA Futurs, projet ScAlApplix)

Abstract

The present work is devoted to the numerical approximation of a compressible two-phase flow. The phases are non-miscible and separated by an interface where capillary effects are considered.We use diffuse interface models having a single velocity and pressure. The surface tension forces are added with the CSF method [1]. We propose a Godunov type method based on a pressure relaxation procedure for the system including surface tension terms. Two numerical illustrations are performed showing the parasitic currents reduction and a liquid break-up.

Suggested Citation

  • C. Berthon & B. Braconnier & J. Claudel & B. Nkonga, 2006. "A Relaxation Method for a Two Phase Flow with Surface Tension," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 843-851, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_83
    DOI: 10.1007/978-3-540-34288-5_83
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