A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

JOURNAL OF COMPUTATIONAL PHYSICS

卷:296

Article

Puscas, Maria Adela^1,2,3  Monasse, Laurent¹  Ern, Alexandre¹  Tenaud, Christian³  Mariotti, Christian²  Daru, Virginie^3,4 

[1] Univ Paris Est, CERMICS ENPC, F-77455 Marne La Vallee, France

[2] CEA, DAM, DIF, F-91297 Arpajon, France

[3] CNRS, LIMSI, F-91403 Orsay, France

[4] Ensam, Lab DynFluid, F-75013 Paris, France

关键词: Fluid-structure interaction;    Finite volume;    Immersed boundary;    Conservative method;    Energy preservation;   

DOI  :  10.1016/j.jcp.2015.04.012

来源: Elsevier

【 摘 要 】

The objective of this work is to present a conservative coupling method between an inviscid compressible fluid and a deformable structure undergoing large displacements. The coupling method combines a cut-cell Finite Volume method, which is exactly conservative in the fluid, and a symplectic Discrete Element method for the deformable structure. A time semi-implicit approach is used for the computation of momentum and energy transfer between fluid and solid, the transfer being exactly balanced. The coupling method is exactly mass-conservative (up to round-off errors in the geometry of cut-cells) and exhibits numerically a long-time energy-preservation for the coupled system. The coupling method also exhibits consistency properties, such as conservation of uniform movement of both fluid and solid, absence of numerical roughness on a straight boundary, and preservation of a constant fluid state around a wall having tangential deformation velocity. The performance of the method is assessed on test cases involving shocked fluid flows interacting with two and three-dimensional deformable solids undergoing large displacements. (C) 2015 Elsevier Inc. All rights reserved.

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