中国物理B ›› 2016, Vol. 25 ›› Issue (12): 124315-124315.doi: 10.1088/1674-1056/25/12/124315

• SPECIAL TOPIC—Acoustics • 上一篇    下一篇

Developments of parabolic equation method in the period of 2000-2016

Chuan-Xiu Xu(徐传秀), Jun Tang(唐骏), Sheng-Chun Piao(朴胜春), Jia-Qi Liu(刘佳琪), Shi-Zhao Zhang(张士钊)   

  1. 1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;
    2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
  • 收稿日期:2016-07-17 修回日期:2016-10-11 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Sheng-Chun Piao E-mail:piaoshengchun@hrbeu.edu.cn
  • 基金资助:

    Project supported by the Foundation of State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201303) and the National Natural Science Foundation of China (Grant Nos. 11104044, 11234002, and 11474073).

Developments of parabolic equation method in the period of 2000-2016

Chuan-Xiu Xu(徐传秀)1,2, Jun Tang(唐骏)1,2, Sheng-Chun Piao(朴胜春)1,2, Jia-Qi Liu(刘佳琪)1,2, Shi-Zhao Zhang(张士钊)1,2   

  1. 1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China;
    2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
  • Received:2016-07-17 Revised:2016-10-11 Online:2016-12-05 Published:2016-12-05
  • Contact: Sheng-Chun Piao E-mail:piaoshengchun@hrbeu.edu.cn
  • Supported by:

    Project supported by the Foundation of State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201303) and the National Natural Science Foundation of China (Grant Nos. 11104044, 11234002, and 11474073).

摘要:

Parabolic equation (PE) method is an efficient tool for modelling underwater sound propagation, particularly for problems involving range dependence. Since the PE method was first introduced into the field of underwater acoustics, it has been about 40 years, during which contributions to extending its capability has been continuously made. The most recent review paper surveyed the contributions made before 1999. In the period of 2000-2016, the development of PE method basically focuses on seismo-acoustic problems, three-dimensional problems, and realistic applications. In this paper, a review covering the contribution from 2000 to 2016 is given, and what should be done in future work is also discussed.

关键词: parabolic equation method, underwater sound propagation, seismo-acoustic transmission characteristics, modelling three-dimensional problems

Abstract:

Parabolic equation (PE) method is an efficient tool for modelling underwater sound propagation, particularly for problems involving range dependence. Since the PE method was first introduced into the field of underwater acoustics, it has been about 40 years, during which contributions to extending its capability has been continuously made. The most recent review paper surveyed the contributions made before 1999. In the period of 2000-2016, the development of PE method basically focuses on seismo-acoustic problems, three-dimensional problems, and realistic applications. In this paper, a review covering the contribution from 2000 to 2016 is given, and what should be done in future work is also discussed.

Key words: parabolic equation method, underwater sound propagation, seismo-acoustic transmission characteristics, modelling three-dimensional problems

中图分类号:  (General linear acoustics)

  • 43.20.+g
43.30.+m (Underwater sound) 44.05.+e (Analytical and numerical techniques)