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Modelling and Simulation in Engineering
Volume 2018, Article ID 9170317, 9 pages
Research Article

Numerical Simulation of Thermoacoustic Wave Induced by Thermal Effects by Using Discontinuous Galerkin Method

1Department of Informatics Engineering, Universitas Atma Jaya Yogyakarta, Yogyakarta, Indonesia
2Department of Mechanical Engineering, Universitas Gadjah Mada, Yogyakarta, Indonesia

Correspondence should be addressed to Pranowo Pranowo;

Received 12 October 2017; Revised 26 December 2017; Accepted 15 January 2018; Published 8 March 2018

Academic Editor: Salim Belouettar

Copyright © 2018 Pranowo Pranowo and Adhika Widyaparaga. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper describes a numerical model based on discontinuous Galerkin method for thermoacoustic investigation. Numerical investigation was conducted to study the behaviour of thermoacoustic wave propagations induced by thermal effects in 2-dimensional enclosure. The compressible Navier-Stokes equations are used as the governing equations. The spatial domain was discretized by using unstructured discontinuous Galerkin method and the explicit fourth-order Runge-Kutta was used to integrate the temporal domain. The accuracy of the numerical results was assessed against other numerical methods and linear solutions. The comparisons with linear solutions show excellent agreement and comparisons with flux corrected transport (FCT) method show fair agreement.