Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution

JOURNAL OF COMPUTATIONAL PHYSICS

卷:410

Article

Petrov, P. S.¹  Antoine, X.² 

[1] Ilichev Pacific Oceanol Inst, 43 Baltiyskaya Str, Vladivostok 690041, Russia

[2] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, Inria Nancy Grand Est, F-54506 Vandoeuvre Les Nancy, France

关键词: Parabolic equation method;    Multiple-scale method;    Curvilinear coordinates;    Computational ocean acoustics;   

DOI  :  10.1016/j.jcp.2020.109392

来源: Elsevier

【 摘 要 】

Pseudodifferential mode parabolic equations in curvilinear coordinates are derived from the horizontal refraction equations. An energy-conserving split-step Pade method for their numerical solution is developed. Several examples are considered including the propagation of sound in a perfect wedge, a whispering gallery formation near circular isobath, and the breaking of the whispering gallery waveguide in the vicinity of an inflection point of the isobath. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free