A forward-advancing wave expansion method for numerical solution of large-scale sound propagation problems

A forward-advancing wave expansion method for numerical solution of large-scale sound propagation problems

In this paper a “forward-advancing” field discretization method suitable for solving the Helmholtz equation in large-scale problems is proposed. The forward wave expansion method (FWEM) is derived from a highly efficient discretization procedure based on interpolation of wave functions known as the...

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Bibliographic Details
Published in:Journal of sound and vibration Vol. 296; no. 1; pp. 406 - 415
Main Authors: Rolla, L. Barrera, Rice, H.J.
Format: Journal Article
Language:English
Published: London Elsevier Ltd 01-09-2006
Elsevier
Subjects:
Acoustics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Linear acoustics
Physics
High performance
Backscattering
Wave function
Helmholtz equation
Acoustics
Spacing
Distributed computing
Modeling
Wavelength
Inverse problem
Finite element method
Parabolic equation
Matrix inversion
Finite difference method
Online Access:Get full text
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Summary:In this paper a “forward-advancing” field discretization method suitable for solving the Helmholtz equation in large-scale problems is proposed. The forward wave expansion method (FWEM) is derived from a highly efficient discretization procedure based on interpolation of wave functions known as the wave expansion method (WEM). The FWEM computes the propagated sound field by means of an exclusively forward advancing solution, neglecting the backscattered field. It is thus analogous to methods such as the (one way) parabolic equation method (PEM) (usually discretized using standard finite difference or finite element methods). These techniques do not require the inversion of large system matrices and thus enable the solution of large-scale acoustic problems where backscatter is not of interest. Calculations using FWEM are presented for two propagation problems and comparisons to data computed with analytical and theoretical solutions and show this forward approximation to be highly accurate. Examples of sound propagation over a screen in upwind and downwind refracting atmospheric conditions at low nodal spacings (0.2 per wavelength in the propagation direction) are also included to demonstrate the flexibility and efficiency of the method.
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ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2006.02.023