On numerical reflected waves in lattice Boltzmann schemes - Laboratoire de mécanique des structures et des systèmes couplés
Article Dans Une Revue Progress in Computational Fluid Dynamics Année : 2008

On numerical reflected waves in lattice Boltzmann schemes

Résumé

In this contribution, we study the transmission of a one dimensional acoustic wave between two fluid media with the classical lattice Boltzmann scheme. The two media have the same hydrodynamic equations but different equilibrium distributions. We take here the case where the incident wave is normal to the interface. The theoretical modal study of this problem shows the presence of a reflected wave and Knudsen modes localised at the interface. This analysis leads to results in good agreement with numerical simulations.
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Dates et versions

hal-03181406 , version 1 (25-03-2021)

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Mohamed Mahdim. Tekitek, M Hamed Bouzidi, François Dubois, Pierre Lallemand. On numerical reflected waves in lattice Boltzmann schemes. Progress in Computational Fluid Dynamics, 2008, 8 (1/2/3/4), pp.49. ⟨10.1504/pcfd.2008.018078⟩. ⟨hal-03181406⟩
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