Three-dimensional analytical solution and numerical solution in a penetrable wedge-shaped waveguide

doi:10.1109/COA.2016.7535827

CORC > 自然资源部第一海洋研究所 > 自然资源部第一海洋研究所 > 业务部门 > 海洋环境与数值模拟研究室

	Three-dimensional analytical solution and numerical solution in a penetrable wedge-shaped waveguide
	Chunmei, Yang 1; Liangang, Lyu 1; Fangli, Qiao 1; Wenyu, Luo 2
	2016-08-05
会议日期	1 9, 2016 - 1 11, 2016
会议地点	Harbin, China
DOI	10.1109/COA.2016.7535827
英文摘要	An exact analytical solution for three-dimensional sound propagation excited by a point source in a penetrable wedge-shaped ocean is first presented in this paper. Although Deane and Buckingham have proposed an analytical solution for the acoustic field in the water of a penetrable wedge (Journal of the Acoustical Society of America, 1993, 93(3): 1319∼1328), the analytical solution is not complete. It is only applicable for sea water not for the seabed, hereafter called bottom. This paper presents an analytical field solution which not only applies to sea water but also the bottom. The analytical solution is obtained by using the method of source images. For the acoustic field in the water of a penetrable wedge, only acoustic reflection needs to be considered. All the source images on a circle centered on the wedge apex need to be involved in the computation. However, for the acoustic field at the bottom of a penetrable wedge, both acoustic reflection and acoustic refraction need to be considered. Only the source images above the bottom on a semicircle need to be involved in the computation. The analytical solution in the whole sea area can be obtained based on the plane wave reflection and refraction principles. In addition, a three-dimensional numerical model based on the wavenumber integration method is also presented and implemented in an unconditionally stable direct-global-matrix coupled-mode method. Afterwards, the three-dimensional numerical model is applied to sound propagation excited by a point source in a benchmark wedge waveguide. The numerical solutions from the three-dimensional model agree well with the analytical solutions in the benchmark wedge waveguide. Consequently, the present three-dimensional model is validated through the analytical solutions to the benchmark wedge problem. © 2016 IEEE.
会议录	2016 IEEE/OES China Ocean Acoustics Symposium, COA 2016
会议录出版者	Institute of Electrical and Electronics Engineers Inc.
语种	英语
内容类型	会议论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/7195]
专题	业务部门_海洋环境与数值模拟研究室
作者单位	1.First Institute of Oceanography, State Oceanic Administration, Qingdao, China; 2.State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing, China
推荐引用方式 GB/T 7714	Chunmei, Yang,Liangang, Lyu,Fangli, Qiao,et al. Three-dimensional analytical solution and numerical solution in a penetrable wedge-shaped waveguide[C]. 见:. Harbin, China. 1 9, 2016 - 1 11, 2016.