An application of Boundary Element Method to two-dimensional infinite lined duct without flow

摘要

The paper presents the Boundary Element Method formulation (BEM) applied to determine the acoustic field in a two-dimensional infinite lined duct without flow. The proposed method is derived from the Homogeneous Helmholtz Equation (HHE) and its fundamental solution of the monopole acoustic source. In addition, when the source point is taken at the boundary point, a regular method is used to isolate the singular integrals of the two-dimensional Green's kernel and its normal derivative. A validation of the present approach was done by a comparison with the analytical formulation for two-dimensional lined duct in which the artificial boundaries contain the conditions of the Dirichlet-to-Neumann (DTN).