Three-dimensional Analytical Solution and Numerical Solution in a Penetrable Wedge-shaped Waveguide

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
	Yang Chunmei 1; Lyu Liangang 1; Qiao Fangli 1; Luo Wenyu 2; IEEE
	2016
关键词	wedge-shaped waveguide method of source images direct-global-matrix method wavenumber integration coupled-mode
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 similar to 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.
会议录	2016 IEEE/OES CHINA OCEAN ACOUSTICS SYMPOSIUM (COA)
会议录出版者	IEEE
会议录出版地	345 E 47TH ST, NEW YORK, NY 10017 USA
语种	英语
WOS研究方向	Acoustics ; Engineering
WOS记录号	WOS:000390300800212
内容类型	会议论文
源URL	[http://ir.fio.com.cn/handle/2SI8HI0U/4993]
专题	业务部门_海洋环境与数值模拟研究室
作者单位	1.State Ocean Adm, Inst Oceanog 1, Qingdao, Peoples R China; 2.Chinese Acad Sci, Inst Acoust, State Key Lab Acoust, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yang Chunmei,Lyu Liangang,Qiao Fangli,et al. Three-dimensional Analytical Solution and Numerical Solution in a Penetrable Wedge-shaped Waveguide[C]. 见:.