One-way approximation of the sound propagation in a urban canyon with non-flat boundaries
Résumé
From an acoustical point of view, the urban environment appears as a complex medium of propagation. At the scale of a street, indeed, both the medium (the air) and the boundaries (the façades, the ground and the opening to the sky above the street) can be heterogeneous or may influence the wave propagation in a complex way, inducing multiple reflections and interference effects. To account for these phenomena when modeling the wave propagation in a street, a wave approach is needed. The present work aims at formulating a one-way approximation of the sound propagation in a street, based on the 3D parabolic equation method and taking into account the opening at the upper part of the street and the irregularity of the boundary. Two methods are used, in order to model different kind of morphology of streets: A Kirchhoff approximation, to model an abrupt variation of the section of the street, or a coordinate change that allows to take into account the effect of a continuous variation of the street.
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