Simplified three‐dimensional parabolic equation underwater sound propagation algorithm incorporating horizontal refraction and focusing effects

1982 ◽  
Vol 71 (S1) ◽  
pp. S65-S65 ◽  
Author(s):  
Allan D. Pierce
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Three Dimensional ◽  
Underwater Sound ◽  
Propagation Algorithm ◽  
Horizontal Refraction

scholarly journals THREE-DIMENSIONAL SOUND PROPAGATION MODELS USING THE PARABOLIC-EQUATION APPROXIMATION AND THE SPLIT-STEP FOURIER METHOD

2013 ◽  
Vol 21 (01) ◽  
pp. 1250018 ◽  
Author(s):  
YING-TSONG LIN ◽  
TIMOTHY F. DUDA ◽  
ARTHUR E. NEWHALL
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Azimuthal Angle ◽  
Three Dimensional ◽  
Fourier Method ◽  
Radial Coordinate ◽  
Underwater Sound ◽  
Propagation Models ◽  
Cylindrical Grid ◽  
Grid Points

The split-step Fourier method is used in three-dimensional parabolic-equation (PE) models to compute underwater sound propagation in one direction (i.e. forward). The method is implemented in both Cartesian (x, y, z) and cylindrical (r, θ, z) coordinate systems, with forward defined as along x and radial coordinate r, respectively. The Cartesian model has uniform resolution throughout the domain, and has errors that increase with azimuthal angle from the x axis. The cylindrical model has consistent validity in each azimuthal direction, but a fixed cylindrical grid of radials cannot produce uniform resolution. Two different methods to achieve more uniform resolution in the cylindrical PE model are presented. One of the methods is to increase the grid points in azimuth, as a function of r, according to nonaliased sampling theory. The other is to make use of a fixed arc-length grid. In addition, a point-source starter is derived for the three-dimensional Cartesian PE model. Results from idealized seamount and slope calculations are shown to compare and verify the performance of the three methods.

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

2015 ◽  
Vol 137 (1) ◽  
pp. 310-320 ◽  
Author(s):  
Jean-Baptiste Doc ◽  
Bertrand Lihoreau ◽  
Simon Félix ◽  
Cédric Faure ◽  
Guillaume Dubois
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Three Dimensional ◽  
Low Frequency ◽  
Equation Model ◽  
Frequency Sound

OS2IFD: A microcomputer implementation of the parabolic equation for predicting underwater sound propagation

1991 ◽  
Vol 17 (6) ◽  
pp. 731-757 ◽  
Author(s):  
J.S. Robertson ◽  
W.L. Siegmann ◽  
M.J. Jacobson
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Underwater Sound

scholarly journals Modeling global‐scale three‐dimensional sound propagation in the ocean with the parabolic equation method

1993 ◽  
Vol 93 (4) ◽  
pp. 2321-2321
Author(s):  
Michael D. Collins ◽  
B. Edward McDonald ◽  
W. A. Kuperman ◽  
Kevin D. Heaney
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Three Dimensional ◽  
Global Scale ◽  
Equation Method ◽  
Parabolic Equation Method

scholarly journals A three-dimensional underwater sound propagation model for offshore wind farm noise prediction

2019 ◽  
Vol 145 (5) ◽  
pp. EL335-EL340 ◽  
Author(s):  
Ying-Tsong Lin ◽  
Arthur E. Newhall ◽  
James H. Miller ◽  
Gopu R. Potty ◽  
Kathleen J. Vigness-Raposa
Keyword(s):  
Wind Farm ◽  
Sound Propagation ◽  
Three Dimensional ◽  
Propagation Model ◽  
Offshore Wind ◽  
Noise Prediction ◽  
Underwater Sound ◽  
Offshore Wind Farm
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