| 正交曲线坐标系在变化地形声场计算中的应用* |
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| 引用本文： | 高善国,李淑秋,王桂喜.正交曲线坐标系在变化地形声场计算中的应用*[J].应用声学,2019,38(4):688-696. |
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| 作者姓名： | 高善国 李淑秋 王桂喜 |
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| 作者单位： | 中国科学院先进水下信息技术重点实验室; 中国科学院声学研究所水声工程中心,中国科学院先进水下信息技术重点实验室; 中国科学院声学研究所水声工程中心,中国科学院先进水下信息技术重点实验室; 中国科学院声学研究所水声工程中心 |
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| 基金项目： | 国家自然科学基金项目(11504402) |
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| 摘 要： | 变化地形声场计算是越来越经常碰到的情况。变化地形往往给声场计算带来计算量增大、求解精度下降的问题。坐标系选择是声场计算中非常重要的问题,本文研究基于地形的合适正交曲线坐标系选取规则。在此坐标系中求解Helmholtz方程,能够极大简化求解过程、提高计算精度。结合简正波理论,从新的角度展示了正交曲线坐标系在某些典型变化地形线源声场计算问题中的应用。结果表明,本文方法在变化地形处理方面,能克服传统阶梯步进法的不足。
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| 关 键 词： | 声场计算 正交曲线坐标系 Helmholtz方程 |
| 收稿时间： | 2019/3/4 0:00:00 |
| 修稿时间： | 2019/7/3 0:00:00 |
Applications of orthogonal curvilinear coordinates in sound field computation with non-flat sea floor |
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| GAO Shanguo,LI Shuqiu and WANG Guixi.Applications of orthogonal curvilinear coordinates in sound field computation with non-flat sea floor[J].Applied Acoustics,2019,38(4):688-696. |
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| Authors: | GAO Shanguo LI Shuqiu and WANG Guixi |
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| Institution: | CAS Key Laboratory of Science and Technology on Advanced Underwater Acoustic Signal Processing,Chinese Academy of Sciences; Underwater Acoustic Engineering Center, Institute of Acoustics, Chinese Academy of Sciences,CAS Key Laboratory of Science and Technology on Advanced Underwater Acoustic Signal Processing,Chinese Academy of Sciences; Underwater Acoustic Engineering Center,Institute of Acoustics,Chinese Academy of Sciences,CAS Key Laboratory of Science and Technology on Advanced Underwater Acoustic Signal Processing,Chinese Academy of Sciences; Underwater Acoustic Engineering Center,Institute of Acoustics,Chinese Academy of Sciences |
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| Abstract: | Sound field computations with non-flat sea floor are more and more popular now. Variation of sea floor brings problems like increasing calculation quantity or reducing the accuracy. Selection of coordinate system in sound field computation is very important. In the paper, we study the selection method of suitable coordinate system based on topography, which can improve computation accuracy and reduce calculation load greatly. Combined with normal modes theory, we show applications of orthogonal curvilinear coordinates in sound field computation with some typical non-flat sea floor and line source from a new perspective. The results illustrate that our method can overcome the shortcomings of traditional step-wise method in sound field computation of non-flat sea floor cases. |
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| Keywords: | sound field computation orthogonal curvilinear coordinates Helmholtz equation |
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