Propagation of shock waves from source to receiver

Eerden, F. van der; Vedy, Eric

doi:10.3397/1.2839248

Cited by 10 publications

(4 citation statements)

References 7 publications

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“…Next, NPE models can propagate weakly nonlinear waves over moderate distances and finally, when the wave amplitude is low enough, (linear) frequency-domain method like the PE can be used. This hybrid method allows to propagate waves from explosions over distances up to several kilometres [14].…”

Section: Resultsmentioning

confidence: 99%

Nonlinear parabolic equation model for finite-amplitude sound propagation in an inhomogeneous medium over a nonflat, finite-impedance ground surface

Leissing

Jean

Defrance

et al. 2008

The Journal of the Acoustical Society of America

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A nonlinear parabolic equation (NPE) model for weakly nonlinear sound propagation in an inhomogeneous medium is described. The model being formulated in the time domain, complex impedances cannot be used to simulate ground surfaces. A second NPE model is thus derived to include the medium in the computational system. Based on a nonlinear extension of the Zwikker-Kosten model for rigidly-framed porous media, it allows to include Forchheimer's nonlinearities. Both models are then adapted to terrain-following coordinates, and used together with an interface condition, allow to simulate finite-amplitude sound propagation over a non-flat, finite-impedance ground surface. Numerical examples show that the NPE model is in good agreement with the solutions of the frequency domain boundary element method. Applications of this model to the simulation of sound propagation from explosions in air are then discussed.

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Section: Resultsmentioning

confidence: 99%

Nonlinear parabolic equation model for finite-amplitude sound propagation in an inhomogeneous medium over a nonflat, finite-impedance ground surface

Leissing

Jean

Defrance

et al. 2008

The Journal of the Acoustical Society of America

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“…The non-linear parabolic equation (NPE) has first been developed by McDonald and Kuperman in 1987 [28] (see also [27,6]) and has been successfully used for underwater acoustics simulations 9 [1,7] and blast wave propagation in air [40,2,21]. The NPE model for a 2D domain with Cartesian coordinates (x, z) filed with air is:…”

Section: General Overview Of Npe Modelsmentioning

confidence: 99%

Computational Model for Long-Range Non-Linear Propagation over Urban Cities

Leissing¹,

Soize²,

Jean³

et al. 2010

Acta Acustica united with Acustica

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A computational model for long-range non-linear sound propagation over urban environments is described. First the probability model of the geometrical parameters of an urban environment are determined using Information Theory and the Maximum Entropy Principle. The propagation model is then presented: it is based on the non-linear parabolic equation (NPE) and its extension to propagation in porous media, in which the urban layer of the real system is represented by a porous ground layer. The uncertainties introduced by the use of this simplified model and the presence of the variability of the real system are taken into account with a probabilistic model. Reference solutions are obtained thanks to the boundary element method (BEM); these experimental observations are then used to identify the parameters of the probability model. This inverse stochastic problem is solved using an evolutionary algorithm which involves both the mean-square method and the maximum likelihood method. Applications and model validation are then presented for two different urban environment morphologies. It is shown that the identification method provides an accurate and robust way for identifying the stochastic model parameters, independently of the variability of the real system. Constructed confidence regions are in good agreement with the numerical observations.

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“…15 Unless airplanes are taxiing, aircraft noise is much harder to reduce by means of barriers. 16 Aviation noise generally contains a high intensity of low frequency noise as well, which is less well absorbed in the atmosphere, and travels over much greater distances due to long wavelengths of the sound. 17,18 During the past decades a great number of studies have presented and tested strategies to reduce (traffic) noise.…”

Section: Introductionmentioning

confidence: 99%

Applying vertical greening systems to reduce traffic noise in outdoor environments: Overview of key design parameters and research methods

2023

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Vertical greening can be used to absorb and scatter sound, which may reduce noise levels in street canyons. In this paper, a literature review is presented, which combines results and methods from over 40 individual studies. The article describes the guiding principles behind the acoustic effects of vertical greening and provides an overview of the prevalent research methods. The article shows that vertical greenery is effective for the reduction of mid and high frequency noise, unless air cavities or resonators are introduced inside, or behind, the systems. The review also reflects on studies with an emphasis on the application of vertical greenery in streets and urban blocks. The aim of the article is to set out the key design parameters for noise reduction that can be achieved by vertical greening, focusing on designers and engineers.

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Propagation of shock waves from source to receiver

Cited by 10 publications

References 7 publications

Nonlinear parabolic equation model for finite-amplitude sound propagation in an inhomogeneous medium over a nonflat, finite-impedance ground surface

Nonlinear parabolic equation model for finite-amplitude sound propagation in an inhomogeneous medium over a nonflat, finite-impedance ground surface

Computational Model for Long-Range Non-Linear Propagation over Urban Cities

Applying vertical greening systems to reduce traffic noise in outdoor environments: Overview of key design parameters and research methods

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