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| A time discontinuous Galerkin finite element method for the propagation process of the acoustic wave in water |
| Received:April 18, 2020 Revised:July 06, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20200418003 |
| KeyWord:acoustic wave DGFEM impact numerical oscillations |
| Author | Institution |
| 李瑞敏 |
郑州大学 力学与安全工程学院, 郑州 |
| 郭攀 |
郑州大学 力学与安全工程学院, 郑州 |
| 张景飞 |
郑州大学 力学与安全工程学院, 郑州 |
| 武文华 |
大连理工大学 运载工程与力学学部 工程力学系, 工业装备结构分析国家重点实验室, 大连 |
| 王飞 |
郑州大学 力学与安全工程学院, 郑州 |
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| Abstract: |
| In this paper,an improved time-domain discontinuous Galerkin finite element method for the acoustic wave equation is constructed.Traditional time-domain continuous finite element methods often produce spurious numerical oscillations when calculating acoustic wave propagation problems of high gradient and strongly discontinuous features.These numerical oscillations will affect the calculation accuracy of an simulation of acoustic wave.In order to solve this problem,this paper constructs an improved time-domain discontinuous Galerkin finite element method,and calculates the acoustic propagation problem of multi-obstacles with complex boundaries and laminated liquid media with high gradients and strong discontinuities.The results show that the developed method can better filter out the effects of spurious numerical oscillations during the propagation of high gradient and strong intermittent acoustic pressure waves,and have much more accurate solutions than the traditional time-domain continuous finite element method such as Newmark method.This method can also be used to the further calculation of fluid-structure-acoustic coupling under shock conditions. |
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