Acoustic Propagation in lined ducts with varying cross-section using a Mild-Slope approximation
Fluid Dynamics
2018-09-11 v1
Abstract
A modelling of low-frequency sound propagation in slowly varying ducts with smoothly varying lining is proposed leading to an acoustic mild-slope equation analogue to the with mild-slope equation for water waves. This simple 1D Mild Slope Equation is derived by direct application of the Galerkin method. It is shown that the acoustic mild-slope equation can serve as a good alternative to computationally expensive Helmholtz equations to solve such kind of problem. The results from this equation agrees well with FEM based solutions of Helmholtz equation.
Cite
@article{arxiv.1809.03277,
title = {Acoustic Propagation in lined ducts with varying cross-section using a Mild-Slope approximation},
author = {Maaz Farooqui and Yves Aurégan and Vincent Pagneux},
journal= {arXiv preprint arXiv:1809.03277},
year = {2018}
}
Comments
5 Pages, 7 Figures