A Proper Orthogonal Decomposition Analysis to Identify the Dominant Modes of the Steady State Acoustic Pressure Field in a Cavity

Abstract

The technique of Proper Orthogonal Decomposition (POD) has been used to develop an identification tool to analyze steady state dynamics in acoustics. The information on the dynamics needed for the POD technique is obtained by solving numerically with the method of finite elements the wave equation inside a cavity. The POD technique identifies optimum spatial patterns it terms of Proper Orthogonal Modes. The steady state sound pressure field in a cavity excited by a single harmonic source responds with a very small number of POD modes. Under certain forcing conditions, the POD modes are identical to the Fourier acoustic modes. The POD technique of Proper Orthogonal Decomposition (POD) proves to be a very effective identification tool.