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- W2049006558 abstract "The paper makes a contribution to the clearer understanding of the physical meaning and domain of applicability of the Ffowcs Williams–Hawkings (FW-H) and Kirchhoff aeroacoustic integral methods. The analytical relationship between the two approaches, and the physical implications involved in the use of the Kirchhoff approach are discussed. In particular, where the Kirchhoff surface cuts into a domain where non-negligible volume sources of Lighthill's Acoustic Analogy are present (domain crossed by a shock, non-uniform flow or vortices for instance), the Kirchhoff integral must be complemented by additional surface integrals to recover the FW-H surface integral. The paper goes on to describe a fast, robust integration technique for computing FW-H or Kirchhoff surface integrals. This integration technique starts from emission time, and treats each integration surface element as non-compact. It obviates the need to build retarded acoustic surfaces and avoids some of the drawbacks of current methods, such as the Doppler singularity when using supersonically rotating grids. The paper then recalls formulas for calculations in the aircraft reference frame, and the computational efficiency of the proposed integration method is demonstrated by its application to the prediction of helicopter rotor noise directivity contours. L'article vise à faire mieux comprendre la signification physique et le domaine d'application des méthodes intégrales de Ffowcs Williams–Hawkings (FW-H) et Kirchhoff. La relation analytique entre les deux approches et les implications physiques de l'utilisation de la méthode de Kirchhoff sont discutées. En particulier, lorsque la surface de contrôle coupe un domaine où des sources de volume (au sens de l'Analogie Acoustique de Lighthill) non négligeables sont présentes (surface traversée par un choc, un écoulement non uniforme ou des tourbillons par exemple), il est expliqué comment l'intégrale de Kirchhoff doit être complétée par des intégrales de surface additionnelles pour retrouver l'intégrale surfacique de FW-H. L'article continue par la description d'une méthode d'intégration rapide et robuste pour le calcul des intégrales de surface de FW-H et Kirchhoff. Cette technique d'intégration part de l'instant d'émission et traite chaque élément de surface d'intégration comme non compact. Elle évite d'avoir à construire des surfaces acoustiques retardées et évite certains inconvénients des méthodes actuelles telles que la singularité Doppler, rencontrée lorsqu'on utilise des maillages tournants supersoniques. L'article rappelle alors des formules pour les calculs dans le repère d'un hélicoptère ou d'un avion. L'efficacité numérique de la méthode est démontrée par une application à la prévision de cartes de bruit d'un rotor d'hélicoptère basée sur ces formules." @default.
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- W2049006558 date "2001-10-01" @default.
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- W2049006558 title "Aeroacoustic integral methods, formulation and efficient numerical implementation" @default.
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- W2049006558 doi "https://doi.org/10.1016/s1270-9638(01)01123-3" @default.
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