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High-order finite-element framework for the efficient simulation of multifluid flows

Abstract : We present in this paper 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.
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Submitted on : Friday, August 31, 2018 - 7:48:36 PM
Last modification on : Wednesday, November 3, 2021 - 6:02:57 AM
Long-term archiving on: : Saturday, December 1, 2018 - 4:06:21 PM

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Thibaut Metivet, Vincent Chabannes, Mourad Ismail, Christophe Prud'Homme. High-order finite-element framework for the efficient simulation of multifluid flows. Mathematics , MDPI, 2018, 6 (10), ⟨10.3390/math6100203⟩. ⟨hal-01865602⟩

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