Evaluating hypersingular integrals of 3D acoustic problems on curved surfaces

In this paper two numerical methods are developed to calculate hypersingular integrals of 3D acoustic problems on curved surfaces. When Burton–Miller method is used to solve acoustic problems, the occurrence of hypersingular integrals will be unavoidable. In this case, the hypersingular integrals need to be treated carefully to reach high accuracy. Two different methods are investigated to compute hypersingular integrals for different types of elements. Numerical examples, dealing with the problems of sound radiation and scattering respectively, are presented for examining the efficiency and accuracy of present algorithm.