Room Acoustic Simulation Using Finite Difference Time Domain Method

Abstract

The growing use of industrial machinery, household appliances and etc, has increased undesirable noises. Thus, the need to control and reduce the undesirable noises in a closed space has caused a lot of interest in recent years. In this paper, the behavior of sound waves in a closed space is investigated using finite difference time domain method. For this reason, firstly, the wave equation is derived using the mass and momentum conservation equation and adiabatic state equation for an ideal compressible fluid. Then, the boundary condition equation for a closed space is obtained using the momentum conservation law and wall impedance equation. The obtained equations are discritized based on the finite difference time domain method. Finally, the wave equation is solved under the wall boundary condition with arbitrary absorption coefficient and impulse source initial condition. The results show the capability of the method for solving this kind of problems.

Keywords

• wave equation
• finite difference
• time domain
• acoustic
• closed spaces