Benchmark Test of Acoustic Solver Using Finite Element Method in the Time Domain

Abstract

Benchmark test of acoustic solver using finite element method （FEM） in the time domain was done. The wave equation of sound pressure was solved by finite element method in the time domain. The central difference scheme is used for second-order derivative in time and the standard Galerkin method is used for the spatial derivatives. One dimensional cases and a three dimensional case were tested. With the current numerical schemes, the points per wave length （PPW） of the computational mesh should be at least 20 if wall reflection is important. The phase error of the scheme has important effect on the solution.