Singular boundary method based on time‐dependent fundamental solutions for active noise control

Abstract

Active noise control is an efficient strategy of noise control. A numerical wave shielding model to inhibit wave propagation, which can be considered as an extension of traditional active noise control, is established using the singular boundary method using time‐dependent fundamental solutions in this study. Two empirical formulas to evaluate the origin intensity factors with Dirichlet and Neumann boundary conditions are derived respectively. In comparison with other similar numerical methods, the method can obtain highly accurate results using very few boundary nodes and small CPU time. These meet the major technical requirements of simulation of active noise control. The subsequent numerical experiments show that the proposed model can shield efficiently from the wave propagation for both inner and exterior problems. By applying the newly derived empirical formulas, the CPU time of the singular boundary method is further reduced significantly, which makes the method a competitive new and efficient meshless method. In addition, the singular boundary method makes active noise control in an online manner via time‐dependent fundamental solutions as its basis functions.