Article Dans Une Revue Journal of Computational Physics Année : 2025

An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma

Résumé

Immersed Boundary Methods (IBM) are a practical class of methods that enable fluid computations in complex geometry while keeping a structured mesh. Most of the existing IBM have been developed in the framework of incompressible solvers, despite their significant interest to perform simula- tions in more complex configurations requiring a compressible solver. In the last years, pressure-based solvers met a growing interest to perform numerical simulations of compressible flows, due to their attractive features, as remov- ing the stability condition on the acoustic time step, and being asymptotically preserving of the incompressible regime when the Mach number tends to zero. As this class of compressible solvers share many common features with classi- cal projection methods for incompressible flows, our objective in this paper is to present an adaptation of an efficient and accurate IBM developed for an in- compressible solver by Ng et al in [1] to a pressure-based compressible solver recently published by Urbano et al in [2]. The proposed algorithm benefits of the attractive properties of the original IBM proposed in [1] while being able to undertake simulations in much more complex configurations. In particular, we will present validations and illustrations of the proposed solver in various configurations as free-convection flows, acoustic waves propagating in a vari- able section pipe or interacting with a solid obstacle, as well as the description of a thermal plasma during an electric arc discharge in a gas.


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Dates et versions

hal-04890185 , version 1 (16-01-2025)

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Sergiu Coseru, Sébastien Tanguy, Pierre Freton, Jean-Jacques Gonzalez, Annafederica Urbano, et al.. An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma. Journal of Computational Physics, 2025, 524, pp.113714. ⟨10.1016/j.jcp.2024.113714⟩. ⟨hal-04890185⟩
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