Publication Date:
2022-05-25
Description:
Author Posting. © Acoustical Society of America, 2012. This article is posted here by permission of Acoustical Society of America for personal use, not for redistribution. The definitive version was published in Journal of the Acoustical Society of America 132 (2012): EL364-EL370, doi:10.1121/1.4754421.
Description:
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.
Description:
This work was sponsored by the Office of Naval Research under Grant Nos. N00014-10-1-0040 and N00014-11-1-0701.
Keywords:
Helmholtz equations
;
Mathematical operators
;
Parabolic equations
;
Underwater acoustic propagation
Repository Name:
Woods Hole Open Access Server
Type:
Article
Format:
application/pdf
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