A Faster Method of Moments Solution to Double Layer Formulation of Acoustic Scattering

Abstract

In this work, the acoustic scattering problem based oil double layer formulation is solved with a novel numerical technique using method of moment's solution. A new set of basis functions, namely, Edge based Adaptive Basis Functions (EABF) are defined in the method of moment's solution procedure. The geometry of the body is divided into triangular patches and basis functions are defined oil the edges. Since the double layer formulation involves the evaluation of the hyper-singular integral, the edge based adaptive basis functions are used to make the solution faster. The matrix equations are derived for the double layer formulation. The edge based adaptive basis functions used in this work generates a diagonal moment matrix and hence do not need any matrix inversion to be carried out. The scattering cross section of the canonical shapes is used to validate the numerical solution developed and the plots are presented.