| 海洋声学中三维抛物方程非均匀网格模型 |
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| 引用本文： | 徐传秀, 杨士莪, 朴胜春, 张海刚, 唐骏, 刘佳琪. 海洋声学中三维抛物方程非均匀网格模型[J]. 声学学报, 2018, 43(4): 453-462. DOI: 10.15949/j.cnki.0371-0025.2018.04.005 |
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| 作者姓名： | 徐传秀 杨士莪 朴胜春 张海刚 唐骏 刘佳琪 |
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| 作者单位： | 1. 哈尔滨工程大学 水声技术重点实验室 哈尔滨 150001; |
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| 基金项目： | 国家自然科学基金项目(11474073,11234002,11704337)国家重点研发计划项目(2016YFC1400100)资助 |
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| 摘 要： | 在海洋声学中,三维抛物方程模型可以有效考虑三维空间的声传播效应。然而,采用三维抛物方程模型分析三维空间内的声传播问题时,计算时间较长,并且需要消耗较大的计算机内存,因此给远距离声场的快速精确计算带来了很大困难。为此,将非均匀网格Galerkin离散化方法用于三维直角坐标系下的水声抛物方程模型中,深度算子和水平算子Galerkin离散方式由均匀网格变为非均匀网格。仿真结果表明,三维直角坐标系下非均匀网格离散的抛物方程模型,在保持计算精度、提高计算速度的同时,可以实现远距离声场的快速预报。另外,针对远距离局部海底地形与距离有关的三维声传播问题,给出了声场快速计算方法;在海底保持水平的区域,采用经典Kraken模型,重构抛物方程算法的初始场,随后依次递推求解地形与距离有关海底下的三维声场。采用改进模型,证明了远距离楔形波导声强增强效应。
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| 关 键 词： | 抛物方程模型 水声传播 非均匀网格离散方法 快速计算方法 |
| 收稿时间： | 2018-01-09 |
| 修稿时间： | 2018-03-28 |
A three-dimensional parabolic equation using non-uniform depth and horizontal grids in ocean acoustics |
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| XU Chuanxiu, YANG Shie, PO Shengchun, ZHANG Haigang, TANG Jun, LIU Jiaqi. A three-dimensional parabolic equation using non-uniform depth and horizontal grids in ocean acoustics[J]. ACTA ACUSTICA, 2018, 43(4): 453-462. DOI: 10.15949/j.cnki.0371-0025.2018.04.005 |
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| Authors: | XU Chuanxiu YANG Shie PO Shengchun ZHANG Haigang TANG Jun LIU Jiaqi |
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| Affiliation: | 1. Science and Technology on Underwater Acoustic Laboratory, Harbin Engineering University Harbin 150001;2. College of Underwater Acoustic Engineering, Harbin Engineering University Harbin 150001 |
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| Abstract: | 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 rauge-independent in short range but range-dependent in long range, the 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. |
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| Keywords: | Parabolic equation model Underwater sound propagation Non-uniform grid method High speed computational methods |
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