Three-dimensional Cartesian parabolic equation model with higher-order cross-terms using operator splitting, rational filtering, and split-step Padé algorithm

2019 ◽  
Vol 146 (3) ◽  
pp. 2041-2049 ◽  
Author(s):  
Keunhwa Lee ◽  
Woojae Seong ◽  
Youngnam Na
Keyword(s):  
Parabolic Equation ◽  
Operator Splitting ◽  
Three Dimensional ◽  
Equation Model ◽  
Higher Order ◽  
Cross Terms

Three-dimensional surface scattering using a parabolic equation model

2011 ◽  
Vol 130 (4) ◽  
pp. 2348-2348 ◽  
Author(s):  
Kevin B. Smith ◽  
Mohsen Badiey ◽  
Joseph Senne
Keyword(s):  
Parabolic Equation ◽  
Three Dimensional ◽  
Equation Model ◽  
Surface Scattering ◽  
Dimensional Surface

Underwater acoustic energy fluctuations during strong internal wave activity using a three-dimensional parabolic equation model

2019 ◽  
Vol 146 (3) ◽  
pp. 1875-1887 ◽  
Author(s):  
Georges A. Dossot ◽  
Kevin B. Smith ◽  
Mohsen Badiey ◽  
James H. Miller ◽  
Gopu R. Potty
Keyword(s):  
Parabolic Equation ◽  
Internal Wave ◽  
Three Dimensional ◽  
Equation Model ◽  
Wave Activity ◽  
Acoustic Energy ◽  
Underwater Acoustic

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

THE USE OF TESSELLATION IN THREE-DIMENSIONAL PARABOLIC EQUATION MODELING

2011 ◽  
Vol 19 (03) ◽  
pp. 221-239 ◽  
Author(s):  
MELANIE E. AUSTIN ◽  
N. ROSS CHAPMAN
Keyword(s):  
Parabolic Equation ◽  
Horizontal Plane ◽  
Three Dimensional ◽  
Computation Time ◽  
Equation Model ◽  
Equation Modeling ◽  
Test Case ◽  
Benchmark Test ◽  
Grid Points ◽  
Grid Layout

A full three-dimensional parabolic equation model (MONM3D) has been developed that incorporates techniques that reduce the required number of model grid points and reduces computation time. The concept of tessellation is implemented in MONM3D, which allows the number of radial paths in the model grid to vary with range from the source, reducing the number of computational points in the horizontal plane. This design establishes a grid layout that is both numerically and computationally desirable. A benchmark test case is used to illustrate the accuracy and efficiency of the model.

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