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Pré-Publication, Document De Travail Année : 2010

An Embedded Boundary method for the conservative coupling of a compressible flow and a rigid body

Résumé

This paper deals with a new fictitious domain coupling algorithm between a rigid body and an unsteady compressible fluid flow. The coupling with a rigid body is a first step towards the coupling with a Discrete Element method. The flow is computed using a Finite Volume approach on a Cartesian grid. The expression of numerical fluxes does not affect the general coupling algorithm and we use a one-step high-order scheme proposed by Daru and Tenaud [Daru V,Tenaud C., J. Comput. Phys. 2004]. The Embedded Boundary method is used to integrate the presence of a solid boundary in the fluid. The coupling algorithm is totally explicit and ensures exact mass conservation and a balance of momentum and energy between the fluid and the solid. It is shown that the scheme preserves uniform movement of both fluid and solid and introduces no numerical boundary roughness. The efficiency of the method is demonstrated on challenging one- and two-dimensional benchmarks.

Dates et versions

hal-00550849 , version 1 (31-12-2010)

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Laurent Monasse, Virginie Daru, Christian Mariotti, Serge Piperno, Christian Tenaud. An Embedded Boundary method for the conservative coupling of a compressible flow and a rigid body. 2010. ⟨hal-00550849⟩

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