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Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-03-10 , DOI: 10.1016/j.jcp.2020.109392 P.S. Petrov , X. Antoine
中文翻译:
曲线坐标系中的拟微分绝热模式抛物方程及其数值解
更新日期:2020-03-10
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-03-10 , DOI: 10.1016/j.jcp.2020.109392 P.S. Petrov , X. Antoine
Pseudodifferential mode parabolic equations in curvilinear coordinates are derived from the horizontal refraction equations. An energy-conserving split-step Padé 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.
中文翻译:
曲线坐标系中的拟微分绝热模式抛物方程及其数值解
曲线坐标中的伪微分模式抛物线方程是从水平折射方程导出的。提出了一种节能的分步Padé方法求解其数值方法。考虑了几个示例,包括声音在理想楔形中的传播,圆形等压线附近的耳语通道形成以及等压线拐点附近的耳语通道波导的断裂。