Title: FDTD simulation of the acoustic interaction between a cavity and an adaptive Helmholtz resonator

Authors: Tim Bastian Klaus; Oliver Heuss; Christian Thyes; Holger Hanselka

Addresses: Fraunhofer Institute for Structural Durability and System Reliability LBF, Darmstadt 64289, Germany ' Fraunhofer Institute for Structural Durability and System Reliability LBF, Darmstadt 64289, Germany ' System Reliability and Machine Acoustics SzM, Technische Universität Darmstadt, Darmstadt 64289, Germany ' Fraunhofer Institute for Structural Durability and System Reliability LBF, Darmstadt 64289, Germany

Abstract: Helmholtz resonators are used to manipulate the eigen behaviour of the acoustic fluid in a cavity. Using the analogy to a mass damper, it is possible to tune the resonators' eigen frequency by handling the resonator volume as spring and the resonator neck as mass of a vibration absorber. Simulating the transient interaction of the HR with the acoustic sound field in a cavity in terms of active sound control, a high simulation performance is demanded. This can be provided by the finite difference time domain method. The simulations are performed with respect to the LOEWE-Zentrum AdRIA acoustics demonstrator. It depicts the abstraction of a real room. Therefore, it consists of six sound reflecting walls that are implemented through acoustic impedances in the time domain. The semi-passive system is implemented using MATLAB/Simulink. In addition, the simulations are validated applying an adaptive Helmholtz resonator inside the acoustic fluid of the acoustics demonstrator.

Keywords: computational engineering; fluid structure interaction; finite difference time domain; acoustics; Helmholtz resonators; adaptronics; FDTD simulation; cavities; active sound control.

DOI: 10.1504/IJCSE.2014.064529

International Journal of Computational Science and Engineering, 2014 Vol.9 No.5/6, pp.445 - 456

Received: 27 Dec 2011
Accepted: 11 Jul 2012
Published online: 22 Sep 2014 *

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