Review: The Use of Kirchhoff’s Method in Computational Aeroacoustics

[+] Author and Article Information
A. S. Lyrintzis

School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907-1282

J. Fluids Eng 116(4), 665-676 (Dec 01, 1994) (12 pages) doi:10.1115/1.2911834 History: Received January 17, 1993; Revised September 06, 1994; Online May 23, 2008


A comprehensive review of the use of Kirchhoff’s method in computational aeroacoustics is given. Kirchhoff’s integral formulation allows radiating sound to be evaluated based on quantities on an arbitrary control surface S if the wave equation is assumed outside. The control surface S is assumed to include all the nonlinear flow effects and noise sources. Thus only surface integrals are needed for the calculation of the far-field sound. A numerical CFD method can be used for the evaluation of the flow-field solution in the near-field and thus on surface S. Kirchhoff’s integral formulation has been extended to an arbitrary, moving, deformable piecewise-continuous surface. The available Kirchhoff formulations are reviewed and various aeroacoustic applications are given. The relative merits of Kirchhoff’s method are also discussed.

Copyright © 1994 by The American Society of Mechanical Engineers
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