Three-dimensional parabolic equation model for low frequency sound propagation in irregular urban canyons

Abstract

A three-dimensional wide-angle parabolic equation (3DPE) is used to model low frequency sound propagation in irregular urban canyons at low computational cost. This one-way wave equation is solved using the Alternating Direction Implicit method. A finite difference scheme adapted to the geometry of the urban environment is then developed. Abrupt variations of the street width are treated as a single scattering problem using the Kirchhoff approximation. Numerical results are compared with experimental data obtained on a scale model of a street. Comparisons show the ability of the 3DPE model to provide reliable transmitted fields even for large irregularities.

Efficient prediction of airborne noise propagation in a non-turbulent urban environment using Gaussian beam tracing method

“…The PE is based on a one-way approximation (Ostashev and Wilson, 2015;Salomons, 2001) and neglects backscattering. While PE can handle uneven terrain, the accuracy of PE solutions depends on the radiation angles at the source (Gilbert and Di, 1993;Gilbert et al, 1990;Gilbert and White, 1989;West et al, 1992) and its application to urban environments is rather limited (Doc et al, 2015). On the other hand, methods based on the solution of wave equations using discretized versions of partial differential equations, such as a finite element or finite difference methods, can include complex propagation scenarios in an urban environment.…”

Use of Parabolic Equation Wide-Angle for calculation of Path Loss in Indoor Environment

“…The characterization of path loss in indoor environments has been the subject of extensive research and many models have been proposed to make accurate predictions. Statistical models are easy to obtain when a lot of measurement data is available, but their validity is limited to the category of buildings they represent [1].…”