2023_programme: Coupled mode wide-angle parabolic equations and their numerical solution in the case of a 3D shallow-water waveguide

• Session: 07. Modeling techniques for underwater acoustic scattering and propagation (including 3D effects)
  Organiser(s): Boris Katsnelson and Pavel S. Petrov
• Lecture: Coupled mode wide-angle parabolic equations and their numerical solution in the case of a 3D shallow-water waveguide
  Paper ID: 1942
  Author(s): Petrov Pavel, Ehrhardt Matthias, Tyshchenko Andrey
  Presenter: Petrov Pavel
  Abstract: Three-dimensional modelling of broadband sound propagation usually results in very high computational costs. In the case of relatively large computational domains even 3D parabolic equations become impractical, and a more computationally efficient tools are needed. An attractive alternative is offered by the so-called mode parabolic equations (MPEs) that usually can be solved faster than the equations in other full-wave approaches. In our study, pseudodifferential mode parabolic equations that take into account mode coupling are considered. An efficient approach to numerical solution of such equations is proposed. This approach can be considered a generalization of the split-step Padé method to the case of vector functions. On the numerical level every step of the marching scheme within this method consists in a solution of several generalized Sylvester equations, where the "left" coefficient matrix is obtained by the finite-difference discretization of the differential operator, while "right" coefficient matrix describes the mode coupling. The presented computational examples confirm the accuracy and efficiency of the proposed method.
• Corresponding author: Prof Pavel Petrov
  Affiliation: University of Wuppertal and Il'ichev Pacific Oceanological Institute
  Country: Germany
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