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Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct

Kamel Berriri·A. -S. Bonnet-Ben Dhia·P. Joly
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Abstract

In this paper we are interested in the mathematical and numerical analysis of the time-dependent Galbrun equa- tion in a rigid duct. This equation models the acoustic propagation in presence of flow [1]. We propose a regu- larized variational formulation of the problem, in the sub- sonic case, suitable for an approximation by Lagrange finite elements, and corresponding absorbing boundary conditions.

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Kamel Berriri, A. -S. Bonnet-Ben Dhia, P. Joly. 2006-03-22. Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct. https://arxiv.org/abs/math/0603546

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