Numerical simulation of two-dimensional nonlinear standing acoustic waves
Numerical simulation of two-dimensional nonlinear standing acoustic waves
复制标题
DOI：
10.1121/1.1760798
复制
发表时间：
2004-07
影响因子：
2.4
通讯作者：
C. Vanhille;C. Campos-Pozuelo,
中科院分区：
文献类型：
--
作者：
C. Vanhille;C. Campos-Pozuelo,
本文研究了充有热粘性流体的二维谐振腔中强非线性波的行为。为此目的，一组微分方程，写在拉格朗日坐标，提出了一个时域数值方案来解决它们。假设流体为无旋流体，由守恒定律和状态方程推导出完全非线性方程组。辅助条件是通过考虑刚性壁腔，激励在边界的某些点，并在开始时休息。在空间和时间域中应用有限差分，并导致一个隐式计划。数值模型用位移矢量场的形式求解。然后根据位移值获得压力场。该算法使我们能够分析复杂驻波的行为的演变。驻波的非线性特性，众所周知，在一维腔室，现在明显的二维谐振腔的测量。
In this paper the behavior of strongly nonlinear waves in two-dimensional resonators filled with thermoviscous fluid is studied. For this purpose a set of differential equations, written in Lagrangian coordinates, is proposed and a time-domain numerical scheme is developed for solving them. Full nonlinear equations are derived from the conservation laws and state equation by assuming an irrotational fluid. Auxiliary conditions are written by considering a rigid-walled cavity, excitation at some points of the boundary, and rest at the outset. Finite differences are applied in the space and time domains, and lead to an implicit scheme. The numerical model solves the problem in terms of displacement vector field. The pressure field is then obtained from the displacement values. The algorithm allows us to analyze the evolution of the behavior of complex standing waves. The nonlinear characteristics of standing waves, well known in one-dimensional chambers, are now apparent in two-dimensional resonators by mea...