Split-step Padé solver for three-dimensional Cartesian acoustic parabolic equation in stair-step representation of ocean environment

Keunhwa Lee; Woojae Seong; Youngnam Na

doi:10.1121/1.5125592

Split-step Padé solver for three-dimensional Cartesian acoustic parabolic equation in stair-step representation of ocean environment

J Acoust Soc Am. 2019 Sep;146(3):2050. doi: 10.1121/1.5125592.

Authors

Keunhwa Lee¹, Woojae Seong², Youngnam Na³

Affiliations

¹ Department of Defense Systems Engineering, Sejong University, Seoul, 05006, South Korea.
² Department of Naval Architecture and Ocean Engineering and Research Institute of Marine System Engineering, Seoul National University, Seoul, 08826, South Korea.
³ Agency for Defense Development, Jinhae, 51682, South Korea.

PMID: 31590520
DOI: 10.1121/1.5125592

Abstract

In this study, the three-dimensional Cartesian acoustic parabolic equation is fully solved in the stair-step representation of an ocean environment based on the split-step Padé algorithm. The sum representation of the Padé approximation of a full exponential operator in the split-step marching solution is used for parallel computing. A stabilized self-starter solution is derived in the same way. This solver is benchmarked against reference solutions for a rectangular duct propagation, an ideal wedge problem, and an axisymmetric ocean. Additionally, a solution for the Gaussian canyon problem is provided and compared with that obtained from the approximate parabolic equation solver, considering a leading-order cross-term.