Modified Dual-Level Fast Multipole Algorithm Based on the Burton-Miller Formulation for Large- Scale Sound Field Analysis

This chapter extends the modified dual-level fast multipole algorithm (MDFMA) to the field of acoustics. The Burton-Miller formulation is applied to overcome non-uniqueness at internal resonance. The MDFMA based on the Burton- Miller formulation is here tested by a series of complex engineering cases. It is observed that the MDFMA performs 44% faster than COMSOL in the analysis of acoustic scattering characteristics of an A-320 aircraft, and 56% faster than the fast multipole boundary element method in the analysis of underwater acoustic scattering characteristics of the Kilo-class submarine.

Keywords: Modified dual-level algorithm, Boundary element method, Fast multipole method, Three-dimensional sound field.