Simulation of the acoustics of coupled rooms by numerical resolution of a diffusion equation

Vincent Valeau (1) , Judicael Picaut (2) , Anas Sakout (1) , Alex Billon (1)

1 LEPTAB - Laboratoire d'Etude des Phénomènes de Transfert Appliqués aux Bâtiments
2 LCPC/ESAR - Division Entretien, Sécurité et Acoustique des Routes

Over the last few years, some studies showed that the acoustic energy density in closed or semi-closed spaces may be the solution of a diffusion equation. This theory allows non-uniform repartition of energy, and is especially relevant in room acoustics for long rooms or complex spaces such as networks of rooms. In this work, the three-dimensional diffusion equation is solved directly by using a finite-element solver. This approach is used to simulate the acoustics of coupled rooms in terms of spatial variations of intensity levels and sound decay. The obtained results match satifactorily with a model based on the classical statistical theory of room acoustics, but it allows to perform a finer spatial description of the acoustics of coupled rooms.

Mots clés: ACOUSTIQUE; EQUATION; ANALYSE DIMENSIONNELLE; TRIDIMENSIONNEL; ESPACE

Domaines: Acoustique [physics.class-ph]

Vincent Valeau, Judicael Picaut, Anas Sakout, Alex Billon. Simulation of the acoustics of coupled rooms by numerical resolution of a diffusion equation. 18th International Congress on Acoustics (ICA), Apr 2004, KYOTO, Japan. pp 433-486. ⟨hal-03678477⟩