SIMULATING SOUND PROPAGATION IN INFINITE DOMAINS WITH AN EFFICIENT FINITE ELEMENT APPROACH

摘要

When studying unbounded wave propagation phenomena, the Sommerfeld radiation condition has to be fulfilled. Here, the Scaled Boundary Finite Element Method (SBFEM) is presented to treat such acoustical problems in an exterior domain. In contrast to a simulation with a standard Finite Element Method (FEM) no spurious energy is reflected back into the domain, when using a coupled FE/SBFE approach, which is applied to frequency and time domain analysis. Finally the results gained by a coupled FE/SBFE approach are compared to those based on a BEM or coupled FEM/BEM simulation. The comparison shows that the results are close with similar CPU time consumption. The advantage of the presented approach is that the SBFEM is easy to incorporate in any finite element code. Furthermore, at the SBFEM the results of the calculated influence of the infinite far-field is stored, so different load cases and geometries of the near-field can be simulated with this method without high costs. Therefore, the practical relevance is high.