Sound radiation from subsonic jets

For more info about our services contact : help@bestpfe.com

Table of contents

1 Introduction
1.1 Forced and natural isothermal jets
1.2 Sound radiation from subsonic jets
1.3 Local and global stability
1.4 Objectives
1.5 Outline
2 Numerical methods 
2.1 Compressible
2.1.1 Non-dimensional equations
2.1.2 Spatio-temporal discretization
2.1.3 Adjoint equations
2.2 Incompressible
2.2.1 Equations
2.2.2 Spatio-temporal discretization
2.3 External packages
2.3.1 PETSc (Portable, Extensible Toolkit for Scientic Computation)
2.3.2 SLEPc (Scalable Library for Eigenvalue Problem Computations)
3 Eigenvalue solver for compressible ows 
3.1 Introduction
3.2 Paper: A relaxation method for large eigenvalue problems
4 Base ows 
4.1 Steady jet ows
4.2 Mean turbulent ows
4.3 Model jet ow
4.3.1 Free jet
4.3.2 Pipe
4.3.3 Matching
5 Modal analysis of the jet dynamics 
5.1 Introduction
5.1.1 Spatial and temporal instability
5.1.2 Local shear-layer and jet-column modes
5.1.3 Convective instability
5.1.4 Helical perturbations
5.2 Paper: Modal and transient dynamics of jet ows
6 Optimal forcing of incompressible jets 
6.1 Introduction
6.2 Paper: The preferred mode of incompressible jets
6.3 Eect of the azimuthal wave number
6.4 Optimal forcing of the laminar base
6.5 A remark on the projection on stable eigenmodes
6.5.1 Method
6.5.2 Ginzburg-Landau problem
6.5.3 Application to the incompressible jet problem
7 Optimal forcing of subsonic jets 
7.1 Introduction
7.2 Forcing and measure of the response
7.2.1 Forcing
7.2.2 Measure of the response
7.3 Numerical procedure
7.4 Results
7.4.1 Optimal energy responses: near eld
7.4.2 Acoustic radiation of the responses of maximum energy 128
7.4.3 Optimal acoustic radiation
7.4.4 Transients
7.5 Conclusions and outlook
8 Conclusions and outlook