3D Numerical Study of Sound Waves Behavior in the Presence of Obstacles Using the D3Q15-Lattice Boltzmann Model

The study of the propagation of sound waves in confined spaces with obstacles is a very important research topic. It has many applications in engineering, especially in the domain of civil engineering. The most important of these applications is the diffraction in rooms. In this paper, a three-dimensional (3D) numerical study of the wave propagation in a cavity filled with air and containing obstacles is studied. The numerical method chosen to perform the simulations is the lattice Boltzmann method (LBM) associated with the D3Q15 model. This method is checked by treating the flow caused by a lid-driven cavity. The acoustic waves are created by the vibration of the left wall of the 3D cavity. Firstly, the propagation of the waves through the 3D obstacle of the square section is investigated. Secondly, the behavior of the waves when they cross an opening of small and large dimensions is studied.