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

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 hi...

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Bibliographic Details
Published in:	The Journal of the Acoustical Society of America Vol. 132; no. 5; pp. EL364 - EL370
Main Authors:	Lin, Ying-Tsong, Collis, Jon M, Duda, Timothy F
Format:	Journal Article
Language:	English
Published:	United States 01-11-2012
Subjects:	Acoustics Algorithms Computer Simulation Fourier Analysis Models, Theoretical Motion Numerical Analysis, Computer-Assisted Pressure Sound Time Factors
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0001-4966 1520-8524
DOI:	10.1121/1.4754421