Červenka Milan, Bednařík Michal
Czech Technical University in Prague, Technická 2, 166 27 Prague 6, Czech Republic.
J Acoust Soc Am. 2022 Jun;151(6):4046. doi: 10.1121/10.0011747.
This work presents a simple computational approach for the calculation of parametrically generated low-frequency sound fields. The Westervelt wave equation is employed as a model equation that accounts for the wave diffraction, attenuation, and nonlinearity. As it is known that the Westervelt equation captures the cumulative nonlinear effects correctly and not the local ones, an algebraic correction is proposed, which includes the local nonlinear effects in the solution of the Westervelt equation. This way, existing computational approaches for the Westervelt equation can be used even in situations where the generated acoustic field differs significantly from the plane progressive waves, such as in the near-field, and where the local effects manifest themselves strongly. The proposed approach is demonstrated and validated on an example of the parametric radiation from a baffled circular piston.
这项工作提出了一种用于计算参数化生成的低频声场的简单计算方法。采用韦斯特韦尔特波动方程作为考虑波衍射、衰减和非线性的模型方程。由于已知韦斯特韦尔特方程能正确捕捉累积非线性效应而非局部非线性效应，因此提出了一种代数修正方法，该方法在韦斯特韦尔特方程的解中纳入了局部非线性效应。这样，即使在生成的声场与平面行波有显著差异的情况下，例如在近场中，以及局部效应强烈显现的情况下，现有的韦斯特韦尔特方程计算方法也能得以应用。所提出的方法在一个带障板圆形活塞的参数辐射示例中得到了演示和验证。
