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Journal of Sensors
Volume 2018, Article ID 4873950, 8 pages
Research Article

An Optimized Symmetric WENO Method-Based Numerical Simulation of Intense Sound Field Generated by Underwater Plasma Sound Source

1School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China
2Science and Technology on Electronic Information Control Laboratory, Southwest China Research Institute of Electronic Equipment, Chengdu 610036, China
3Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China
4Marine Design & Research Institute of China, Shanghai 200011, China

Correspondence should be addressed to Xiaolong Liu; moc.621@5002gnahcgnaugisuw

Received 30 December 2017; Revised 21 May 2018; Accepted 13 June 2018; Published 9 July 2018

Academic Editor: Hai-Feng Ji

Copyright © 2018 Kaizhuo Lei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The intensive pulse sound wave can be generated by the underwater plasma sound source (UPSS) based on the discharge of the underwater high voltage. The distribution of the sound field is prominently nonlinear. In this paper, the sound field of the intensive UPSS is described by the integral two-dimensional axisymmetric unsteady Euler equations firstly. In order to solve the Euler equations numerically, an optimized fifth-order symmetric WENO (weighted essentially nonoscillatory) method based on the three templates is proposed which is called WENO-SYM3. Without increasing the number of candidate templates, a new symmetric template structure can be obtained by expanding the second template and shifting the third one backwards for one space. The method is validated through numerical examples and experiments, and the results show that WENO-SYM3 has a high distinguished accuracy; meanwhile, its nonphysical oscillations are not obvious. The experimental results are basically the same as the calculation results, and the maximum error is around 3%.