Time-harmonic acoustic propagation in the presence of a shear flow

Publication type:
Paper in peer-reviewed journals
J. Comput. Appl. Math, vol. 204(2), pp. 428-439
This work deals with the numerical simulation, by means of a finite element method, of the time-harmonic propagation of acoustic waves in a moving fluid, using the Galbrun equation instead of the classical linearized Euler equations. This work extends a previous study in the case of a uniform flow to the case of a shear flow. The additional difficulty comes from the interaction between the propagation of acoustic waves and the convection of vortices by the fluid. We have developed a numerical method based on the regularization of the equation which takes these two phenomena into account. Since it leads to a partially full matrix, we use an iterative algorithm to solve the linear system.
    author={Anne-Sophie Bonnet-BenDhia and Eve-Marie Duclairoir and 
           Guillaume Legendre and Jean-François Mercier },
    title={Time-harmonic acoustic propagation in the presence of a shear 
           flow },
    doi={10.1016/j.cam.2006.02.048 },
    journal={J. Comput. Appl. Math },
    year={2007 },
    volume={204(2) },