## Computational aeroacousticsThe general topic is the generation of sound by, and the propagation of sound in fluid flows. These include flows around machinery, airfoils, and other man-made objects, as well as the flow of wind around obstacles. The chapters in this volume represent the results of a workshop discussing mathematical and computational aspects of the interaction of sound with air at the Institute for Computer Applications in Science and Engineering, at the NASA Langley Research Center. Topics covered include: classical theoretical approaches (which can serve to supply both efficient formulations for computational implementation and the boundary conditions that are essential for accurate simulations); mathematical aspects of acoustics; validation methods (including stability considerations, gridding, and back-reactions); direct simulation (the use of computational fluid dynamics to describe the generation, transmission, and radiation of sound in fluid flows); and computational methods for unsteady compressional flows. The topics covered in this book will be of interest to aerospace and other mechanical engineers interested in modeling and reducing noise generated by fluid flows such as propeller noise from windmills, sonic booms due to aircraft, or buildings that sing in the wind. |

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### Contents

A General Introduction to Aeroacoustics | 3 |

Classical Theoretical Approaches | 41 |

Computational Aeroacoustics for Low Mach | 48 |

Copyright | |

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### Common terms and phrases

acoustic analogy acoustic field acoustic pressure acoustic source acoustic waves aerodynamic aircraft airfoil algorithms amplitude angle approach approximation axial Batina blade blade-vortex boundary conditions boundary layer calculations coefficients component compressible Computational Aeroacoustics computational domain computational fluid dynamics convected wave equation convection Crighton cylinder density derivative dipole direct direct numerical simulation dissipation eddies effects emission Euler equations far-field Farassat Ffowcs Williams Figure finite difference flow field fluctuations Fluid Mech function grid points helicopter rotor incompressible integral interaction jet noise Kambe Lighthill Lighthill's linear low Mach number mean flow method motion NASA Navier-Stokes equations noise prediction nonlinear nozzle numerical simulation observer obtained perturbation plane problem propagation quadrupole region Research Reynolds number rotor scheme shock solution sound field sound waves source term spatial speed steady surface theory tion turbulent flow unsteady aerodynamic values variable velocity vortex vortex rings vortices wave equation wavelength wavenumber zero