The acoustic waves propagation into lined ducts with sheared mean flow is a difficult problem because of the effects of mean velocity of medium and their associated gradients. The resolution of this problem requires the use of numerical methods, particularly when intricated geometrical configurations are considered. Many authors have studied this problem [2-4], results obtained with various numerical methods have shown that the acoustic pressure and velocity are greatly distorted by the shear flow, especially in the regions containing strong gradients of flow [2-3]. Nevertheless, these methods are generally not able to handle complex geometries and are often limited to simple configurations of mean flow. The aim of this work is the development of the finite element method (FEM) scheme to solve a system of first order partial differential equations in acoustic pressure and particle- velocity.
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