Ground effect analysis: Surface wave and layer potential representations

Habault, Dominique; Filippi, P.J.T.

doi:10.1016/0022-460x(81)90464-8

Cited by 30 publications

(5 citation statements)

References 23 publications

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“…[8][9][10][11] The approximation for semi-infinite media with extended reaction is fairly convenient for computation; 9 however, analytical approximations for layered media are not as simple or straightforward. Moreover, a study by Nicolas et al 5 suggests that these more elaborate theories are not satisfactory for smaller values of k 0 r. Our preliminary numerical calculations support their views.…”

Section: Asymptotic Solution and Its Validationmentioning

confidence: 99%

Sound propagation from a point source over extended-reaction ground

Waters-Fuller

Attenborough

1998

The Journal of the Acoustical Society of America

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Through comparisons with numerical predictions, with data from laboratory experiments and with outdoor data obtained over snow, heuristic modifications of the classical analytical approximation for the field due to a point source above an impedance plane are shown to be adequate for predicting sound propagation from a point source close to layered porous media with extended reaction. The main deficiencies are for extremely low flow resistivities and at close ranges. It is shown that multiple layering offers a possible explanation for previously reported difficulties in obtaining theoretical fits to propagation data over snow ͓J. Acoust. Soc. Am. 77, 67-73 ͑1985͔͒.

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Section: Asymptotic Solution and Its Validationmentioning

confidence: 99%

Sound propagation from a point source over extended-reaction ground

Waters-Fuller

Attenborough

1998

The Journal of the Acoustical Society of America

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“…In applications in outdoor sound propagation, β lies only within a restricted region of the physically feasible half-plane ℜβ > 0. One of the basic theoretical problems arising from a study of outdoor sound propagation is the problem of predicting the far field behavior of the sound field emitted from a monofrequency monopole point source located above a homogeneous impedance plane [14], [15], [23], [31], [35], [39]. In mathematical terms, the solution for this problem is the Green function for Helmholtz equation in a half-space with impedance boundary condition.…”

Section: Introductionmentioning

confidence: 99%

The inverse Robin boundary value problem in a half-space

Päivärinta

Zubeldia

2015

Applicable Analysis

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“…In literature there can be found numerous solutions for the Green's function describing the sound propagation above an impedance plane, e.g. [1], [2], [3]. Unfortunately, all those solutions have singularities for an impedance with springlike reactance and special source-receiver geometries.…”

Section: Introductionmentioning

confidence: 99%

A half-space BEM for the simulation of sound propagation above an impedance plane

Brick

Ochmann

2008

The Journal of the Acoustical Society of America

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The Boundary-Element-Method is a powerful tool for the simulation of sound radiation and scattering. Classically, it was developed for the free 3D-space, but it can be modified easily for half-space solutions as long as the half-space is delimited by a perfectly rigid or soft plane. In this case, the Green's function, the core of the Bem, can be derived from a simple image source ansatz, which however cannot be used for a more general impedance boundary condition. In this presentation, an appropriate Green's function will be studied, which is able to describe the sound propagation above an impedance plane and is suitable for an implementation into a Bem code. It bases on the superposition of sound sources with complex source points. The numerical evaluation of this Green's function will be presented along with several test cases. The computational costs of the developed "Complex-Source-Point-Bem" (Cbem) in comparison with a classical Bem together with a discretisation of the impedance plane will be discussed.

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Ground effect analysis: Surface wave and layer potential representations

Cited by 30 publications

References 23 publications

Sound propagation from a point source over extended-reaction ground

Sound propagation from a point source over extended-reaction ground

The inverse Robin boundary value problem in a half-space

A half-space BEM for the simulation of sound propagation above an impedance plane

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