Radial Basis Function Methods For Large-Scale Wave Propagation

Author(s): Jun-Pu Li and Qing-Hua Qin

DOI: 10.2174/9781681088983121010008

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

Pp: 91-108 (18)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

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.

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