A recursive transfer admittance formulation in time domain

© Proceedings of ISMA 2018 - International Conference on Noise and Vibration Engineering and USD 2018 - International Conference on Uncertainty in Structural Dynamics. All rights reserved. A transfer admittance relation is commonly used in frequency domain linear acoustics to represent elements, characterized by a geometrical length scale which is much smaller than the acoustic wavelength, in an efficient way. However, the equivalent time domain formulation involves costly convolution integrals. This paper presents an efficient time domain formulation: using a rational approximation of the transfer admittance coefficients, formulated in frequency domain, a recursive formulation is obtained with significantly reduced memory and CPU requirements. This formulation has been implemented in a time domain solver for the linearized Euler equations, using a discontinuous Galerkin spatial discretization and a Runge-Kutta time integration scheme. The methodology is successfully validated on two benchmark cases: a lined duct with a grazing flow and a simplified automotive muffler with a perforated duct.

ISBN:9789073802995

Jaar van publicatie:2018

BOF-keylabel:ja

IOF-keylabel:ja

Authors from:Government, Higher Education

Toegankelijkheid:Open