A low frequency model for acoustic propagation in a 2D flow duct: numerical computation

Lauris Joubert and Patrick Joly

2012

Publication type:

Paper in peer-reviewed journals

Journal:

Communications in Computational Physics, vol. 11(2), pp. 508-524

HAL:

hal-00969515

Keywords :

Acoustics in flow, Galbrun's equations, asymptotic analysis, Laplace transform.

Abstract:

In this paper we study a low frequency model for acoustic propagation in a 2D flow duct. For some Mach profile flow, we are able to give a well-posedness theorem. Its proof relies on a quasi-explicit expression of the solution which provides us an efficient numerical method. We give and comment numerical results for particular linear, tangent and quadratic profiles. Finally, we give a numerical validation of our asymptotic model.

BibTeX:

@article{Jou-Jol-2012,
    author={Lauris Joubert and Patrick Joly },
    title={A low frequency model for acoustic propagation in a 2D flow 
           duct: numerical computation },
    journal={Communications in Computational Physics },
    year={2012 },
    volume={11(2) },
    pages={508--524},
}