| 李瑞敏,郭攀,张景飞,武文华,王飞.水下声波传播过程的时域间断Galerkin有限元方法[J].计算力学学报,2021,38(2):166~172 |
|
| 
码上扫一扫！ |
| 水下声波传播过程的时域间断Galerkin有限元方法 |
| A time discontinuous Galerkin finite element method for the propagation process of the acoustic wave in water |
| 投稿时间：2020-04-18 修订日期：2020-07-06 |
| DOI：10.7511/jslx20200418003 |
| 中文关键词: 声波 时域间断伽辽金有限元方法 冲击 数值振荡 |
| 英文关键词:acoustic wave DGFEM impact numerical oscillations |
| 基金项目:国家自然科学青年基金（51904272）；河南省高等学校重点科研项目计划（18A620003）；河南省博士后科研项目（00182001）资助项目. |
|
| 摘要点击次数: 794 |
| 全文下载次数: 544 |
| 中文摘要: |
| 本文构建了声压波动方程的改进时域间断Galerkin有限元方法。传统时域连续有限元方法在计算高梯度、强间断特征水中声波传播问题时往往会出现虚假数值振荡现象，这些数值振荡会影响正常波动的计算精度。为了解决这一问题，本文通过引入人工阻尼的方式构建了改进的时域间断Galerkin有限元方法，并针对具有高梯度、强间断特征的多障碍物复杂边界和层合液体介质声传播问题进行了计算。计算结果表明，与传统时域连续方法如Newmark方法计算结果对比，所发展方法能较好地消除高梯度和强间断声压力波传播过程中虚假的数值振荡，具有较高的计算精度。问题的求解为进一步流固声耦合问题的研究奠定了基础。 |
| 英文摘要: |
| 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. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
