No abstract

We present an improved formulation of the numerical One-Way approximation that permits to diagonalize in a fully numerical way the propagation operator of a general hyperbolic system. In this paper, it is applied to the linearized Euler equations in the case of a duct with a partially lined section presenting a Poiseuille flow. Domain decomposition is developed in this paper since it is needed for the handling of the transverse boundary conditions discontinuity (hard-wall and impedance condition) which is at the origin of the refraction and reflection of the incident wave inside the computational domain. The results of the One-Way method are compared to experimental and numerical results and show a good accuracy for a low amount of computing resources.