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We study acoustic wave propagation in a uniform stationary flow. We develop amethod founded on the Lorentz transform and a hypothesis of irrotationality ofthe acoustic perturbation. After a transformation of the space-time and of theunknown fields, we derive a system of partial differential equations thateliminates the external flow and deals with the classical case of non advectiveacoustics. A sequel of the analysis is a new set of perfectly matched layersequations in the spirit of the work of Berenger and Collino. The numericalimplementation of the previous ideas is presented with the finite differencesmethod HaWAY on cartesian staggered grids. Relevant numerical tests areproposed.

Lorentz Transform and Staggered Finite Differences for Advective Acoustics