Current development in the numerical treatment of ocean acoustic propagation

DOI10.1016/0168-9274(87)90004-3zbMath0622.76087OpenAlexW2048734193MaRDI QIDQ1091214

Ding Lee, William F. Ames

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90004-3

zbMATH Keywords

angle of propagationimproved parabolic equationLong range linear ocean acoustic propagationparabolic wave equationrange-dependent environmentthree-dimensional ocean acoustic problemstwo-dimensional parabolic wave equationswide angle parabolic wave equations

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Numerical methods for viscous and nonviscous wave equations ⋮ The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean ⋮ High-order schemes for acoustic waveform simulation ⋮ PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY ⋮ Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed

Cites Work

• An improved implementation of generalized Adams methods for underwater wave propagation problems
• Time-domain solution of the parabolic equation including nonlinearity
• The natural reference wavenumber for parabolic approximations in ocean acoustics
• Generalized Adams methods for solving underwater wave propagation problems
• A wide-angle split-step algorithm for the parabolic equation
• A finite-difference treatment of interface conditions for the parabolic wave equation: The irregular interface
• Wave field computations on the interface: An ocean acoustic model
• A range refraction parabolic equation
• Extending the finite difference treatment of interfaces when using the parabolic wave equation
• A mathematical model for the 3-dimensional ocean sound propagation
• Acoustic propagation in random oceans using the radiation transport equation
• Theoretical and numerical Green’s function field solution in a plane multilayered medium
• Numerical solutions of the parabolic wave equation: An ordinary-differential-equation approach
• A finite-difference treatment of interface conditions for the parabolic wave equation: The horizontal interface
• Parabolic approximations for underwater sound propagation
• Helmholtz equation as an initial value problem with application to acoustic propagation
• Eikonal approximation and the parabolic equation
• Relation between the solutions of the Helmhotz and parabolic equations for sound propagation

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