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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:204

Article; Proceedings Paper

Bonnet-Ben Dhia, Anne-Sophie ; Duclairoir, Eve-Marie ; Legendre, Guillaume ; Mercier, Jean-Francois

关键词: aeroacoustics;    shear flow;    Fredholm formulation;    FEM;   

DOI  :  10.1016/j.cam.2006.02.048

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free