Elastic parabolic equation and normal mode solutions for seismo-acoustic propagation in underwater environments with ice covers

2016 ◽  
Vol 139 (5) ◽  
pp. 2672-2682 ◽  
Author(s):  
Jon M. Collis ◽  
Scott D. Frank ◽  
Adam M. Metzler ◽  
Kimberly S. Preston
Keyword(s):  
Parabolic Equation ◽  
Normal Mode ◽  
Acoustic Propagation

scholarly journals A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Houwang Tu ◽  
Yongxian Wang ◽  
Wei Liu ◽  
Xian Ma ◽  
Wenbin Xiao ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Spectral Method ◽  
Normal Mode ◽  
Ideal Fluid ◽  
Difference Method ◽  
Acoustic Propagation ◽  
Underwater Acoustic ◽  
Chebyshev Spectral Method

In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep-sea Munk speed profile. The research shows that, compared with the finite difference method, the Chebyshev spectral method has the advantages of a high computational accuracy and short computational time in underwater acoustic propagation.

A comparison of normal mode and parabolic equation range‐dependent propagation models as tools for acoustic communication in shallow water

2001 ◽  
Vol 109 (5) ◽  
pp. 2450-2451
Author(s):  
Natalia A. Sidorovskaia ◽  
Robert L. Field ◽  
Cheryl L. Sephus ◽  
George E. Ioup ◽  
Juliette W. Ioup
Keyword(s):  
Parabolic Equation ◽  
Shallow Water ◽  
Normal Mode ◽  
Acoustic Communication ◽  
Propagation Models

MULTIPLICATIVE PADÉ PE FORMULATION APPLIED TO SWAM'99 TEST CASES

2001 ◽  
Vol 09 (01) ◽  
pp. 227-241 ◽  
Author(s):  
WOOJAE SEONG ◽  
BYUNGHO CHOI
Keyword(s):  
Parabolic Equation ◽  
Shallow Water ◽  
Environmental Changes ◽  
Near Field ◽  
Acoustic Propagation ◽  
Acoustic Modeling ◽  
Test Cases ◽  
Underwater Sound ◽  
Depth Direction ◽  
National University

Accurate forward modeling of acoustic propagation is crucial in underwater sound applications that rely on coherent field predictions, such as source localization and geoacoustic inversion based on matched field processing concepts. As acoustic propagation in shallow water environments becomes important in recent years, range-dependent modeling due to environmental changes has to be considered of which parabolic equation (PE) method has received widespread use because they are accurate and relatively fast. In this paper, Seoul National University parabolic equation (SNUPE) employing a multiplicative Padé formulation is developed. Linearization of the depth direction operator is achieved via expansion into a multiplication form of Padé approximation. To approximate the depth directional equation, Galerkin's method is used with partial collocation to achieve computational efficiency. To approximate the range directional equation, Crank–Nicolson's method is used. Finally, numerical self-starter has been used to initiate the near-field solution. The Shallow Water Acoustic Modeling (SWAM'99) Workshop provides an opportunity to test SNUPE's accuracy and compare its results with others for a variety of synthetic environments. In this paper, the numerical implementation and accuracy of SNUPE is tested by comparing with RAM12 results for the SWAM'99 test cases. Numerical experiments for SWAM'99 test cases give satisfactory results in accuracy for SNUPE and show the importance of the bottom information in the shallow water acoustic modeling.

Wide-Angle Parabolic Equation Solution of Ocean Acoustic Propagation with Lossy Penetrable Bottom

1999 ◽  
Vol 38 (Part 1, No. 5B) ◽  
pp. 3361-3365 ◽  
Author(s):  
Masuya Hada ◽  
Taro Fujii ◽  
Takenobu Tsuchiya ◽  
Tetsuo Anada ◽  
Nobuyuki Endoh
Keyword(s):  
Parabolic Equation ◽  
Acoustic Propagation ◽  
Wide Angle ◽  
Equation Solution

Analysis of measured broadband acoustic propagation using a parabolic equation approach

2003 ◽  
Vol 114 (4) ◽  
pp. 2429-2429
Author(s):  
Mason Gray ◽  
D. P. Knobles ◽  
Robert Koch
Keyword(s):  
Parabolic Equation ◽  
Acoustic Propagation ◽  
Equation Approach
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