Computational Aeroacoustics

A Wave Number Approach

Christopher K. W. Tam (Florida State University)

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English

Cambridge University Press
28 September 2012

Mathematical modelling; Fluid mechanics; Maths for engineers; Mechanics of fluids; Flow, turbulence, rheology

Series: Cambridge Aerospace Series

Computational aeroacoustics (CAA) is a relatively new research area. CAA algorithms have developed rapidly and the methods have been applied in many areas of aeroacoustics. The objective of CAA is not simply to develop computational methods but also to use these methods to solve practical aeroacoustics problems and to perform numerical simulation of aeroacoustic phenomena. By analysing the simulation data, an investigator can determine noise generation mechanisms and sound propagation processes. This is both a textbook for graduate students and a reference for researchers in CAA and as such is self-contained. No prior knowledge of numerical methods for solving partial differential equations (PDEs) is needed, however, a general understanding of partial differential equations and basic numerical analysis is assumed. Exercises are included and are designed to be an integral part of the chapter content. In addition, sample computer programs are included to illustrate the implementation of the numerical algorithms.

By: Christopher K. W. Tam (Florida State University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 33
Dimensions: Height: 261mm, Width: 183mm, Spine: 25mm
Weight: 1.000kg
ISBN: 9780521806787
ISBN 10: 052180678X
Series: Cambridge Aerospace Series
Pages: 492
Publication Date: 28 September 2012
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

1. Finite difference equations; 2. Spatial discretization in wave number space; 3. Time discretization; 4. Finite difference scheme as dispersive waves; 5. Finite difference solution of the Euler equations; 6. Radiation, outflow, and wall boundary conditions; 7. The short wave component of finite difference schemes; 8. Nonlinear acoustic waves and shocks; 9. Advanced numerical boundary treatments; 10. Time domain impedance boundary condition; 11. Extrapolation and interpolation; 12. Multi-scales problems; 13. Complex geometry; 14. Continuation of a near field acoustic solution to the far field; 15. CAA code design and applications.

Dr Christopher Tam is the Robert O. Lawton Distinguished Professor in the Department of Mathematics at Florida State University. His research in computational mathematics and numerical simulation involves the development of low dispersion and dissipation computation schemes, numerical boundary conditions and the mathematical analysis of the scheme's computational properties for use in large scale numerical simulation of a number of real-world problems. Additionally he is developing jet and other aircraft noise theories as well as prediction codes for NASA and the US aircraft industry's noise reduction effort.

Reviews for Computational Aeroacoustics: A Wave Number Approach

'... a good textbook for graduate students and a reference book for researchers in CAA. Exercises are included and are designed to be an integral part of the chapter content. In addition, sample computer programs are included ...' Zentralblatt MATH '... highly recommended ... The experience of the author is present throughout the book, and should help newcomers ... This book should form part of the reference collection of any worker in advanced CFD methods.' Michael J. Carley, Mathematical Reviews ...the book is highly recommended...The experience of the author is present throughout the book, and should help newcomers...This book should form part of the reference collection of any worker in advanced CFD methods. - Michael J. Carley, Mathematical Reviews, August 2013