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A three-dimensional parabolic equation model of sound propagation using higher-order operator splitting and Padé approximants.

Authors
  • 1
  • 1 Applied Ocean Physics and Engineering Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA. [email protected]
Type
Published Article
Journal
The Journal of the Acoustical Society of America
1520-8524
Publication Date
Volume
132
Issue
5
Identifiers
DOI: 10.1121/1.4754421
PMID: 23145696
Source
Medline
License
Unknown

Abstract

An alternating direction implicit (ADI) three-dimensional fluid parabolic equation solution method with enhanced accuracy is presented. The method uses a square-root Helmholtz operator splitting algorithm that retains cross-multiplied operator terms that have been previously neglected. With these higher-order cross terms, the valid angular range of the parabolic equation solution is improved. The method is tested for accuracy against an image solution in an idealized wedge problem. Computational efficiency improvements resulting from the ADI discretization are also discussed.

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