2009
DOI: 10.1121/1.3203934
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A three dimensional parabolic equation method for sound propagation in moving inhomogeneous media

Abstract: In this paper, a formulation of the Helmholtz equation for three dimensional sound propagation in a moving inhomogeneous medium in cylindrical coordinates is derived. Based on this formulation, a three dimensional parabolic equation (PE) is constructed. This PE can be used to model sound propagation in an inhomogeneous arbitrary moving medium. The method is used here to simulate three dimensional outdoor sound propagation above a rigid flat ground surface. The numerical results for two simple wind cases are pr… Show more

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Cited by 14 publications
(9 citation statements)
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“…Li and Wang [6] concluded, based on their analytical considerations, that the effect of wind can be ignored in the crosswind situation because the effective Mach number is zero under such circumstances. Cheng et al [8] reported that in crosswind directions, there is no acoustic refraction in the vertical direction, and the sound pressure level is thus "only slightly" affected by the wind. By means of 2D and 3D Fast Field Program (FFP) calculations, Salomons [1] found that crosswind has no effect on sound propagation from a point source and concluded that 2D modelling, so neglecting crosswind, is accurate.…”
mentioning
confidence: 99%
“…Li and Wang [6] concluded, based on their analytical considerations, that the effect of wind can be ignored in the crosswind situation because the effective Mach number is zero under such circumstances. Cheng et al [8] reported that in crosswind directions, there is no acoustic refraction in the vertical direction, and the sound pressure level is thus "only slightly" affected by the wind. By means of 2D and 3D Fast Field Program (FFP) calculations, Salomons [1] found that crosswind has no effect on sound propagation from a point source and concluded that 2D modelling, so neglecting crosswind, is accurate.…”
mentioning
confidence: 99%
“…This interaction had eventually led Ken to join the Penn State faculty and begin to develop collaborations with Phil. With another batch of PhD student advisees, Phil and Ken produced several publications: Cheng et al, 42 Lee et al, 43 Morris and Miller, 44 and Lopes et al 45 Ken stated that Phil always brought a strong analytical expertise to the problem and a vigorous and useful debate of the project. He was an excellent mentor to the students whom we advised and although he is one of the top experts in the field of aeroacoustics, he was always very approachable and kind to students and co-workers alike.…”
Section: Penn State-the 2000smentioning
confidence: 99%
“…Three-dimensional PE techniques 30,31 are perhaps the most efficient ways to accomplish the task of creating a pressure field numerically. In parallel internal waves applications, we can eliminate the dependence in the direction along the wave crests.…”
Section: Numerical Modelingmentioning
confidence: 99%