Three-Dimensional Lattice Boltzmann Model for Acoustic Waves Emitted by a Source

Jaouad Benhamou (1) , Salaheddine Channouf (1) , Mohammed Jami (1) , Ahmed Mezrhab (1) , Daniel Henry (2) , Valéry Botton (3, 2)

1 Université Mohammed Premier [Oujda]
2 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique
3 INSA Lyon - Institut National des Sciences Appliquées de Lyon

The present paper implements the lattice Boltzmann method (LBM) to simulate the emission and propagation of sound waves in three-dimensional (3D) situations, with the point source technique used for wave emission. The 3D numerical model is exercised on a benchmark problem, which is the simulation of the lid-driven cavity flow. Tests are then proposed on acoustic situations. The numerical results are first confronted with analytical solutions in the case of spherical waves emitted by a single point source at the center of a cavity. In view of acoustic streaming applications, we then study the case where the waves are emitted from a circular sound source placed at the center of the left boundary of a three-dimensional cavity filled with water. With the circular source discretized as a set of point sources, we can simulate the wave propagation in 3D and calculate the sound pressure amplitude in the cavity. Tests using different emission conditions and LBM relaxation times finally allow us to get good comparisons with analytical expressions of the pressure amplitude along the source axis, highlighting the performance of the lattice Boltzmann simulations in acoustics.

Mots clés: lattice Boltzmann method; acoustic waves; point source method; sound pressure; 3D simulation

Domaines: Sciences de l'ingénieur [physics]

Jaouad Benhamou, Salaheddine Channouf, Mohammed Jami, Ahmed Mezrhab, Daniel Henry, et al.. Three-Dimensional Lattice Boltzmann Model for Acoustic Waves Emitted by a Source. International Journal of Computational Fluid Dynamics, 2021, pp.1-22. ⟨10.1080/10618562.2021.2019226⟩. ⟨hal-03526362⟩