FDTD方法的改进及在超声波声场计算中的应用

徐娜; 李洋; 周正干; 于光

FDTD方法的改进及在超声波声场计算中的应用

1.
北京航空航天大学机械工程及自动化学院, 北京 100191
2. 上海飞机制造有限公司航空制造技术研究所, 上海 200436

基金项目: 国家商用飞机制造工程技术研究中心创新基金资助项目(201112)

详细信息

中图分类号: TB 553
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出版历程
- 收稿日期: 2011-10-13
- 网络出版日期: 2013-01-31

Improvement of finite difference time domain method and its application to calculation of ultrasonic sound fields

1.
School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2. Aeronautical Manufacturing Technology Research Institute, Shanghai Aircraft Manufacturing Co., Ltd, Shanghai 200436, China

摘要

摘要: 时域有限差分法(FDTD, Finite Difference Time Domain)是建立超声检测模型的有效手段,然而在相邻两种介质的分界面上,两种介质声阻抗的突变会引起差分计算的不稳定.为了解决上述问题,从常规FDTD方法入手,提出将界面两边介质的声学参数在界面处进行平均处理的方法,对FDTD方法进行了改进;然后分别采用常规FDTD方法和改进方法对相邻两种介质声阻抗相差5个数量级的模型进行了声场计算;最后对超声换能器进行了有限差分声场计算和实际检测实验对比.研究结果表明:改进的FDTD方法是超声波声场计算中一种有效可行的数值方法.
- 时域有限差分法 /
- 超声波 /
- 声场
Abstract: Finite difference time domain (FDTD) method is an effective way to establish ultrasonic testing model. However, a big difference between acoustic impedances of two adjacent materials may cause instability of the difference computation in the interface of two materials. To solve this problem, based on the conventional FDTD algorithm, an improved FDTD method was introduced by taking the average of the ultrasonic parameters of two materials on both sides of the interface. The model was built for the sound field calculation of the media consisted by two adjacent materials, one of which the acoustical impedance is five orders larger than the other, and the conventional and improved FDTD method were used respectively. Numerical calculation and practical experiments for an ultrasonic probe were accomplished. The results show that the improved FDTD method is a feasible and effective method for ultrasonic sound filed calculation.
- finite difference time domain method /
- ultrasound /
- sound fields

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参考文献(9)

[1]	丁辉.计算超声学-声场分析及应用[M].北京:科学出版社,2010:1-9 Ding Hui.Computational ultrasonics-analysis application of ultrasonic field[M].Beijing:Science Press,2010:1-9(in Chinese)
[2]	魏东,周正干.固体中脉冲超声波传播的有限差分模拟[J].航空学报,2010,31(2):388-392 Wei Dong,Zhou Zhenggan.Finite difference simulation of pulsed ultrasonic propagation in solids[J].Acta Aeronautica et Astronautica Sinica,2010,31(2):388-392(in Chinese)
[3]	Satyanarayan L,Sridhar C,Krishnamurthy C V,et al.Simulation of ultrasonic phased array technique for imaging and sizing of defects using longitudinal waves[J].International Journal of Pressure Vessels and Piping,2007,84:716-729
[4]	Zhen Fenghua,Chen Zhizhang,Zhang Jiazong.Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method[J].Microwave Theory and Techniques,2000,48(9):1550-1558
[5]	Schroder C T.On the stability of the FDTD algorithm for elastic media at a material interface[J].Transactions on Geoscience and Remote Sensing,2002,40(2):474-481
[6]	Thoma P,Weiland T.Numerical stability of finite difference time domain methods[J].Magnetics,1998,34(5):2740-2743
[7]	Remis R F.On the stability of the finite-difference time-domain method[J].Journal of Computational Physics,2000,163(1):249-261
[8]	Pereda Jos-e A,Oscar Garc-a,Angel Vegas,et al.Numerical dispersion and stability analysis of the FDTD technique in lossy dielectrics[J].Microwave and Guided Wave Letters,1998,8(7):245-247
[9]	李太宝.计算声学-声场的方程和计算方法[M].北京:科学出版社,2003:67-83 Li Taibao.Computational acoustics-sound field equation and calculate method[M].Beijing:Science Press,2003:67-83(in Chinese)