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A correction technique for spurious signals from the permeable Ffowcs Williams-Hawkings equation

机译：渗透性Ffowcs Williams-Hawkings方程对杂散信号的校正技术

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摘要

In this paper, an equivalent source based correction technique for the spurious signals observed when utilizing the permeable Ffowcs Williams-Hawkings equation is proposed. The methodology aims to ensure that the fundamental assumption of a null field inside the permeable data surface is maintained at all times. Since it is based on this fundamental assumption, it should be generally applicable for all cases with an arbitrary motion and shape of the permeable data surface, in a stationary or moving medium. The methodology is non-intrusive, and thus could be coupled with any existing permeable surface acoustic solver. The concept of the method is to define control points inside the permeable data surface, and observe the spurious signals present at these points. Equivalent sources are then defined to nullify the acoustic pressure at the control points, and correspondingly correct the predicted far-field acoustic pressure. The effectiveness of the method has been demonstrated in both a two-dimensional stationary medium test case, and a moving medium test case, correcting the predicted far-field acoustic pressure to the analytical solution with minimal error. However, further investigation is required in regards to the exact definition of the equivalent sources and control points, specifically in moving medium cases.
机译：本文提出了一种等效的基于源的校正技术，用于利用可渗透的Ffowcs Williams-Hawkings方程时观察到的寄生信号。该方法旨在确保始终保持对可渗透数据表面内部为零场的基本假设。由于它基于此基本假设，因此通常应适用于在固定或移动介质中具有可渗透数据面的任意运动和形状的所有情况。该方法是非侵入性的，因此可以与任何现有的可渗透表面声求解器耦合。该方法的概念是在可渗透数据表面内定义控制点，并观察在这些点处出现的虚假信号。然后定义等效源，以使控制点处的声压无效，并相应地校正预测的远场声压。在二维固定介质测试案例和移动介质测试案例中都证明了该方法的有效性，该方法将预测的远场声压校正为具有最小误差的分析解决方案。但是，需要进一步研究等效源和控制点的确切定义，特别是在移动中的情况下。

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