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High-Order Finite-Element Framework for the Efficient Simulation of Multifluid Flows

Author

Listed:
  • Thibaut Metivet

    (IRMA-UMR 7501, Cemosis-Center of Modeling and Simulation, Université de Strasbourg/CNRS, F-67000 Strasbourg, France
    LIPhy-UMR 5588 Laboratoire Interdisciplinaire de Physique, Université Grenoble Alpes/CNRS, F-38041 Grenoble, France)

  • Vincent Chabannes

    (IRMA-UMR 7501, Cemosis-Center of Modeling and Simulation, Université de Strasbourg/CNRS, F-67000 Strasbourg, France)

  • Mourad Ismail

    (LIPhy-UMR 5588 Laboratoire Interdisciplinaire de Physique, Université Grenoble Alpes/CNRS, F-38041 Grenoble, France)

  • Christophe Prud’homme

    (IRMA-UMR 7501, Cemosis-Center of Modeling and Simulation, Université de Strasbourg/CNRS, F-67000 Strasbourg, France)

Abstract

In this paper, we present a comprehensive framework for the simulation of Multifluid flows based on the implicit level-set representation of interfaces and on an efficient solving strategy of the Navier-Stokes equations. The mathematical framework relies on a modular coupling approach between the level-set advection and the fluid equations. The space discretization is performed with possibly high-order stable finite elements while the time discretization features implicit Backward Differentation Formulae of arbitrary order. This framework has been implemented within the Feel++ library, and features seamless distributed parallelism with fast assembly procedures for the algebraic systems and efficient preconditioning strategies for their resolution. We also present simulation results for a three-dimensional Multifluid benchmark, and highlight the importance of using high-order finite elements for the level-set discretization for problems involving the geometry of the interfaces, such as the curvature or its derivatives.

Suggested Citation

  • Thibaut Metivet & Vincent Chabannes & Mourad Ismail & Christophe Prud’homme, 2018. "High-Order Finite-Element Framework for the Efficient Simulation of Multifluid Flows," Mathematics, MDPI, vol. 6(10), pages 1-25, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:10:p:203-:d:175796
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