Numerical model for nonlinear standing waves and weak shocks in thermoviscous fluids.
Numerical model for nonlinear standing waves and weak shocks in thermoviscous fluids.
复制标题
DOI：
10.1121/1.1366318
复制
发表时间：
2001-06
期刊：
影响因子：
--
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,
本文用有限差分法对一维圆管中的非线性驻波进行了数值研究。数值代码模拟了均匀热粘性流体谐振器中的声场。计算仅在时域中进行，所有谐波分量均通过一种分辨率获得。完全非线性微分方程写在拉格朗日坐标。它是在不截断的情况下求解的。吸收的影响也包括在内。位移和压力波形计算在不同的位置和结果显示为不同的激励水平和管长度。还评估了每个谐波分量沿谐振器轴的振幅分布沿着。模拟的振幅范围从线性到强非线性和弱冲击。与经典的实验和分析结果得到了很好的一致性。
Nonlinear standing waves in a one-dimensional tube are studied numerically by using a finite-difference algorithm. The numerical code models the acoustic field in resonators for homogeneous, thermoviscous fluids. Calculations are performed exclusively in the time domain, and all harmonic components are obtained by one resolution. The fully nonlinear differential equation is written in Lagrangian coordinates. It is solved without truncation. Effects of absorption are included. Displacement and pressure wave forms are calculated at different locations and results are shown for different excitation levels and tube lengths. Amplitude distributions along the resonator axis for every harmonic component are also evaluated. Simulations are performed for amplitudes ranging from linear to strongly nonlinear and weak shock. A very good concordance with classic experimental and analytical results is obtained.