A finite element analysis of the impedance properties of irregular shaped cavities with absorptive boundaries

Abstract The impedance tube configuration is used to examine the application of the finite element method to a variety of acoustics problems with arbitrary boundary shapes and impedances. The governing equations and boundary conditions are established in a variational format to include permeable membranes and boundary forcing functions as required. A simple triangular element is used in the finite element model to obtain solutions which give good agreement with exact solutions, thus helping to establish the flexibility of the finite element method in acoustic applications.