水下声波传播过程的时域间断Galerkin有限元方法

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...

A time discontinuous Galerkin finite element method for the propagation process of the acoustic wave in water

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.