A three-dimensional parabolic equation using non-uniform depth and horizontal grids in ocean acoustics

作者：Xu, Chuanxiu; Yang, Shie; Piao, Shengchun; Zhang, Haigang^*; Tang, Jun; Liu, Jiaqi

来源：Acta Acustica, 2018, 43(4): 453-462.

• Cartesian coordinate
• Energy enhancement
• Environmental parameter
• Long-range sound propagation
• Parabolic Equations
• Range-independent
• Threedimensional (3-d)
• Waveguide problems

Three-dimensional parabolic equation models can be used to analyze three-dimensional (3-D) sound propagation effects in ocean acoustics. However, long calculation time and large computer memory must be consumed when the models are used to analyze 3-D sound propagation problems, which makes it very difficult to calculate long-range sound fields accurately. Therefore, a non-uniform depth and horizontal grid scheme is applied to a 3-D parabolic equation model in Cartesian coordinates. Some numerical examples show that the improved parabolic equation model can calculate long-range sound propagation problems at higher rate of speed and accuracy. To consider 3-D sound propagation problems where the environmental parameters are range-independent in short range but range-dependent in long range, the computer code Kraken is used to build the starting sound field and is adopted to calculate the 3-D sound field recursively. A long-range wedge-shaped waveguide problem is considered in the rebuilt model to show an energy enhancement phenomenon.

• 出版日期2018
• 单位哈尔滨工程大学