Tam C.K.W. Computational Aeroacoustics: a wave number approach

Cambridge University Press, 2012. — 492 p. — ISBN: 978-0-521-80678-7.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 analyzing 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 PDE's 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.Preface page.
Finite Difference Equations.
Order of Finite Difference Equations: Concept of Solution.
Linear Difference Equations with Constant Coefficients.
Finite Difference Solution as an Approximate Solution of a Boundary Value Problem.
Finite Difference Model for a Surface of Discontinuity.
Spatial Discretization in Wave Number Space.
Time Discretization.
Finite Difference Scheme as Dispersive Waves.
Finite Difference Solution of the Linearized Euler Equations.
Radiation, Outflow, and Wall Boundary Conditions.
Radiation, Outflow, and Wall Boundary Conditions.
The Short Wave Component of Finite Difference Schemes.
Computation of Nonlinear Acoustic Waves.
Advanced Numerical Boundary Treatments.
Time-Domain Impedance Boundary Condition.
Extrapolation and Interpolation.
Multiscales Problems.
Complex Geometry.
Continuation of a Near-Field Acoustic Solution to the Far Field.
Design of Computational Aeroacoustic Codes.
Apendixes.