Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme
Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme
复制标题
通过气体动力学方案模拟谐振器中的非线性声振荡
DOI：
10.1016/j.amc.2014.10.125
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发表时间：
2015
影响因子：
4
通讯作者：
冯和英
中科院分区：
文献类型：
--
作者：
彭叶辉;冯和英
用气体动力学方法模拟了扬声器驱动的可压缩充气二维圆柱形谐振器中的非线性振动。为便于高强度声学器件的实际应用，数值研究了激波和高次谐波对声学变量时空分布的影响。通过有限幅情况下压力分布的数值计算结果与理论计算结果的比较，验证了所建模型的有效性。然后，用验证过的气体动力学方法模拟了高度非线性驻波的声场。对于高度非线性的情况，揭示了一些有趣的物理现象。在谐振器末端出现尖锐的速度尖峰，并伴随着锯齿形的压力波形。此外，理论压力节点处的压力不为零，其频率约为共振频率的两倍。在压力节点处，二次谐波占主导地位。当激波出现时，可以同时发现非线性饱和现象。此外，在X速度的空间分布上，随着流动方向的改变和环状效应，观察到准一维分布。此外，它们的速度呈不规则的二维分布，相对于x速度，它们的速度不再是可以忽略的。同时，分析了这些非线性现象产生的重要影响和原因。结果表明，气体动力学格式是模拟高度非线性声学振荡及有关问题的一种有效而合适的方法。
The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution ofx-velocity. In addition, they-velocity is in an irregular two-dimensional distribution and they-velocity is not any more negligible relative to thex-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems.
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影响因子：
14.3
作者：
M. A. Ilgamov;R. Zaripov;R. G. Galiullin;V. B. Repin
通讯作者：
M. A. Ilgamov;R. Zaripov;R. G. Galiullin;V. B. Repin
影响因子：
4.6
作者：
A. Alexeev;C. Gutfinger
通讯作者：
A. Alexeev;C. Gutfinger
DOI：
--
发表时间：
1998
期刊：
--
影响因子：
--
作者：
K. Xu
通讯作者：
K. Xu
影响因子：
3.7
作者：
B. Sturtevant
通讯作者：
B. Sturtevant
DOI：
--
发表时间：
2008
期刊：
--
影响因子：
--
作者：
M. Nabavi
通讯作者：
M. Nabavi