计算物理 ›› 2013, Vol. 30 ›› Issue (1): 105-110.

• 论文 • 上一篇    下一篇

浅海相干声场不确定性研究

程广利, 张明敏, 胡金华   

  1. 海军工程大学水声工程系, 湖北 武汉 430033
  • 收稿日期:2012-03-28 修回日期:2012-06-02 出版日期:2013-01-25 发布日期:2013-01-25
  • 作者简介:程广利(1976-),男,博士生,讲师,主要从事声场不确定性研究,E-mail:sonarcgl@126.com
  • 基金资助:
    国家自然科学基金(51009146)资助项目

Uncertainty of Coherent Acoustic Field in Shallow Water

CHENG Guangli, ZHANG Mingmin, HU Jinhua   

  1. Department of Underwater Acoustic Engineering, Naval University of Engineering, Wuhan 430033, China
  • Received:2012-03-28 Revised:2012-06-02 Online:2013-01-25 Published:2013-01-25

摘要: 提出一种采用随机响应面法求解浅海中含不确定参数波动方程的方法.将海洋环境不确定参数表示为标准随机变量,利用Hermite多项展开式表示相干声场的随机响应,用概率配点法求解随机多项式系数后,获得相干声场的近似表达式.通过与Monte Carlo法、声场位移法比较,表明本文方法计算精度和效率较高.

关键词: 不确定性, 相干声场, 浅海, 随机响应面法, Monte Carlo法, 声场位移法

Abstract: A method using stochastic response surface method is presented. It solves wave equation with uncertain parameters in shallow water. Uncertain parameters of ocean environment are expressed with standard stochastic variables. And stochastic response of coherent sound field is expressed by Hermite multinomials. An approximate expression of coherent sound field is achieved with coefficients of stochastic muhinomial solved by probabilistic collocation method. It shows that the proposed method is more accurate and efficient than Monte Carlo method and field shifting method.

Key words: uncertainty, coherent sound field, shallow water, stochastic response surface method, Monte Carlo method, field shifting method

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