自然科学版
陕西师范大学学报(自然科学版)
物理学
FDTD法计算刚性球形粒子离轴声辐射力
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孙秀娜, 张小凤, 张光斌*, 汪艳, 常国栋
(陕西师范大学 物理学与信息技术学院,陕西省超声学重点实验室, 陕西 西安 710119)
孙秀娜,女,硕士研究生,研究方向为功率超声。E-mail:819168301@qq.com
摘要:
为了更精确、简便计算物体的声辐射力,应用时域有限差分算法对声波波动方程在时间和空间上进行差分离散化,通过设置有效的边界条件,完成声压场和速度场在时域上的迭代。将时域有限差分法与应力张量方程相结合,求出了二维情况下水中刚性球形粒子的声辐射力,研究了声辐射力随频率和粒子偏离高斯波束中心距离的变化关系。仿真结果表明,刚性球形粒子在高斯声场中的声辐射力随着粒子轴向偏离波束中心距离的增大而减小。当刚性球形粒子偏离波束轴时,轴向声辐射力与轴向、横向的偏移距离成反比。横向声辐射力随横向偏移距离的增加先增大后减小,在偏移波束中心两侧的距离相同时,辐射力的大小相等,方向相反。
关键词:
时域有限差分法; 高斯波束; 离轴声辐射力; 数值仿真
收稿日期:
2015-01-24
中图分类号:
O422.2; TB556
文献标识码:
A
文章编号:
1672-4291(2015)04-0028-06doi:10.15983/j.cnki.jsnu.2015.04.241
基金项目:
中央高校基本科研业务费专项资金(GK201302049); 陕西省自然科学基金(2012JM1013)
Doi:
Computation of the off-axial acoustic radiation force on a rigid spherical particles via FDTD
SUN Xiuna, ZHANG Xiaofeng, ZHANG Guangbin*, WANG Yan, CHANG Guodong
(School of Physics and Information Technology, Shaanxi Normal University,Shaanxi Key Laboratory of Ultrasonics, Xi′an 710119, Shaanxi, China)
Abstract:
In order to accurately and simply calculate the acoustic radiation force,the FDTD (Finite Difference Time Domain) method is applied to discrete the acoustic wave equations in both spatial and temporal domain. By setting the appropriate boundary conditions, the pressure and velocity are computed by numerical iteration in time domain. The two-dimensional acoustic radiation force on a rigid spherical particle in water is calculated by the momentum-flux tensor equations and the finite difference domain method. The influence of frequence and shift distance from beam center on acoustic radiation force are obtained for rigid sphere particle.The results show that the axial acoustic radiation force decreases with the axial shift distance. When the particle is moved away from the beam axial, the axial acoustic radiation force is reduced. The transverse radiation force is increasing first then decreasing as the shift distance increased.The directions of the transverse force are opposite and the amplitudes of them are same when the particle shifts from the beam center with same distance.
KeyWords:
FDTD; Gaussian beam; off-axial acoustic radiation force; numerical simulation