A New Approach to Model Acoustic Radiation and Scattering from Thin Bodies using Boundary Element Method

摘要

In this work, thin bodies are treated for acoustic radiation and scattering. The source of acoustic radiation and scattering are the vibration of the thin body and plane wave emanated from an acoustic source, respectively. Thin bodies have their thickness very small compared to the other dimensions of the geometry. Usually, the thin bodies are modeled along with their thickness in the discretization of geometry and governing equations. Since the thickness of the thin bodies is very small, it results in huge number of elements on the entire body for BEM solution, for a given aspect ratios and good quality mesh. In this work, the thin bodies are treated as surfaces i.e. by ignoring their thicknesses, and geometry is discretized with triangular patch modeling. Node based basis functions are used on each of the vertices of the triangular patches to define the source density function. The errors are computed for the canonical regular geometries both for radiation as well as scattering. Finally important conclusions are drawn and scope for further research work is defined.