Characterization of Turbulent flow

Abstract
Table of contents
Introduction:
• the characteristics of turbulence
• closure problem of turbulence
• some definitions of CFD (computation of fluid dynamics; RANS, LES, DNS) for k-epsilon model
main section:
• Explain spectral methods of analysis for solving turbulent flow problems (main method; focus on this section) (an answer to the closure model) (link to the characteristic of turbulence, for example it is related to the dissipation of energy in turbulence
• Explain K-epsilon, K-omega, K-τ model , describe the relation to the kinetic energy equations for turbulent flow (do not focus on the computational side, focus on the fluid mechanics side) (link to the characteristic of turbulence, for example it is related to the dissipation of energy in turbulence)
• Show examples on Spectral methods and K-epsilon, K-omega, K-τ model to indicate importance and usage in the calculating and solving the problems in turbulence
Discussion:
• Limitations of the Spectral Methods , limitations on the K-epsilon model, K-omega model, K- τ model
• Express modern attempts of people in defining turbulence and possible future trends on the subject
Conclusion
References
Appendix