title: A three-dimensional parabolic equation model of sound propagation using higher-order operator splitting and Padé approximants.
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.
authors.affiliation: Applied Ocean Physics and Engineering Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA. ytlin@whoi.edu
authors.forename: Ying-Tsong
authors.initials: YT
authors.lastname: Lin
authors.forename: Jon M
authors.initials: JM
authors.lastname: Collis
authors.forename: Timothy F
authors.initials: TF
authors.lastname: Duda
mesh_terms: D000162:Acoustics; D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D011312:Pressure; D013016:Sound; D013997:Time Factors