Acoustic eigenvalue analysis by singular boundary method with the block Sakurai–Sugiura method

Abstract

This study presents a novel numerical solver for the nonlinear eigenvalue analysis of acoustic problems utilizing the singular boundary method (SBM). The proposed methodology integrates a contour integral technique referred as the block Sakurai-Sugiura (SS) method to effectively address the frequency-dependent nonlinearity inherent in SBM formulations. The Burton–Miller formulation is utilized to identify the fictitious eigenvalues associated with multiply-connected domains. Numerical experiments indicate that the developed eigensolver attains a high level of accuracy in eigenvalue extraction, with comparative analyses against analytical solutions affirming both its computational efficiency and robustness.