A new boundary integral formulation for the prediction of sound radiation

A new boundary integral formulation for the prediction of sound radiation
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DOI:
10.1006/jsvi.1996.0843
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发表时间:
1997-05-15
影响因子:
4.7
通讯作者:
DiFrancescantonio, P
DiFrancescantonio, P
中科院分区:
工程技术2区
文献类型:
--
作者:
DiFrancescantonio, P

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本文提出了一种新的边界积分公式,用于计算均匀介质中一般源辐射噪声。要使用该方法,需要了解围绕源的光滑封闭表面上的压力、速度和密度扰动,并假设传播在表面本身之外是线性的。当应用于跨音速旋翼噪声的预测时,该方法可以与Kirchhoff方法相同的方式使用,但新的积分方程不需要Ffowcs Williams-Hawkings方程中的非穿透条件。因此,该方法被称为Kirchhoff-FWH。基尔霍夫方法的主要优点是,它不需要的表面压力法向导数的知识。此外,它也可以适用于具有可渗透表面的物体,而经典的FWH方程在这种情况下是无效的。提出了两种不同的配方,不同的时间导数的处理方式,并解决了两种配方的数值效率的一些一般性问题。本文对跨音速悬停旋翼在不同叶尖马赫数下的流场进行了计算,并与实验、Kirchhoff法和FWH法进行了比较。(C)出版社:Academic Press Limited。
A new boundary integral formulation is presented fbr the evaluation of the noise radiated in a uniform medium by generic sources. To use the method one requires knowledge of the pressure, velocity, and density disturbances on a smooth closed surface surrounding the source, and to assume that the propagation is linear outside the surface itself. When applied to the prediction of transonic rotor noise the method can be used in the same manner as the Kirchhoff approach, but the new integral equations are derived without requiring the non-penetration condition in the Ffowcs Williams-Hawkings equation. The method is therefore referred as The Kirchhoff-FWH. The main advantage of the proposed formulation in respect of the Kirchhoff method is that it does not require the knowledge of the surface pressure normal derivative. Additionally, it can be applied also for bodies with permeable surfaces, while the classical FWH equation is not valid in this case. Two different formulations are presented, which differ in the way in which a time derivative is handled, and some general issues on the numerical efficiency of the two formulations are addressed. Comparisons with experiments, and with Kirchhoff and FWH methods, are presented for a hovering rotor in transonic conditions at various tip Mach numbers. (C) 1997 Academic Press Limited.