Multi-relaxation-time lattice Boltzmann modeling of the acoustic field generated by focused transducer
Feng Shan,
Xiasheng Guo (),
Juan Tu (),
Jianchun Cheng () and
Dong Zhang
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Feng Shan: Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, 22 Hankou Road Nanjing, 210093, P. R. China
Xiasheng Guo: Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, 22 Hankou Road Nanjing, 210093, P. R. China
Juan Tu: Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, 22 Hankou Road Nanjing, 210093, P. R. China
Jianchun Cheng: Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, 22 Hankou Road Nanjing, 210093, P. R. China
Dong Zhang: Key Laboratory of Modern Acoustics (MOE), Department of Physics, Collaborative Innovation Center of Advanced Microstructure, Nanjing University, 22 Hankou Road Nanjing, 210093, P. R. China†State Key Laboratory of Acoustics, Chinese Academy of Science, Beijing, 10080, P. R. China
International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 03, 1-15
Abstract:
The high-intensity focused ultrasound (HIFU) has become an attractive therapeutic tool for the noninvasive tumor treatment. The ultrasonic transducer is the key component in HIFU treatment to generate the HIFU energy. The dimension of focal region generated by the transducer is closely relevant to the safety of HIFU treatment. Therefore, it is essential to numerically investigate the focal region of the transducer. Although the conventional acoustic wave equations have been used successfully to describe the acoustic field, there still exist some inherent drawbacks. In this work, we presented an axisymmetric isothermal multi-relaxation-time lattice Boltzmann method (MRT-LBM) model with the Bouzidi–Firdaouss–Lallemand (BFL) boundary condition in cylindrical coordinate system. With this model, some preliminary simulations were firstly conducted to determine a reasonable value of the relaxation parameter. Then, the validity of the model was examined by comparing the results obtained with the LBM results with the Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation and the Spheroidal beam equation (SBE) for the focused transducers with different aperture angles, respectively. In addition, the influences of the aperture angle on the focal region were investigated. The proposed model in this work will provide significant references for the parameter optimization of the focused transducer for applications in the HIFU treatment or other fields, and provide new insights into the conventional acoustic numerical simulations.
Keywords: Lattice Boltzmann method; focused transducer; acoustic wave equation; focal region; aperture angle (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:28:y:2017:i:03:n:s0129183117500383
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DOI: 10.1142/S0129183117500383
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