Introduction to turbulence
From CFD-Wiki
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** [[Introduction to turbulence/Statistical analysis/Probability#Gaussian (or normal) distributions|Gaussian (or normal) distributions]] | ** [[Introduction to turbulence/Statistical analysis/Probability#Gaussian (or normal) distributions|Gaussian (or normal) distributions]] | ||
** [[Introduction to turbulence/Statistical analysis/Probability#Skewness and kurtosis|Skewness and kurtosis]] | ** [[Introduction to turbulence/Statistical analysis/Probability#Skewness and kurtosis|Skewness and kurtosis]] | ||
| - | * [[Introduction to turbulence/Multivariate random variables|Multivariate random vaiables]] | + | * [[Introduction to turbulence/Statistical analysis/Multivariate random variables|Multivariate random vaiables]] |
| - | ** [[Introduction to turbulence/Multivariate random vaiables#Joint pdfs and joint moments|Joint pdfs and joint moments]] | + | ** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#Joint pdfs and joint moments|Joint pdfs and joint moments]] |
| - | ** [[Introduction to turbulence/Multivariate random vaiables#The bi-variate normal (or Gaussian) distribution|The bi-variate normal (or Gaussian) distribution]] | + | ** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#The bi-variate normal (or Gaussian) distribution|The bi-variate normal (or Gaussian) distribution]] |
| - | ** [[Introduction to turbulence/Multivariate random vaiables#Statistical independence and lack of correlation|Statistical independence and lack of correlation]] | + | ** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#Statistical independence and lack of correlation|Statistical independence and lack of correlation]] |
| - | * [[Introduction to turbulence/Estimation from a finite number of realizations]] | + | * [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations]] |
| - | ** [[Introduction to turbulence/Estimation from a finite number of realizations#Estimators for averaged quantities|Estimators for averaged quantities]] | + | ** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Estimators for averaged quantities|Estimators for averaged quantities]] |
| - | ** [[Introduction to turbulence/Estimation from a finite number of realizations#Bias and convergence of estimators|Bias and convergence of estimators]] | + | ** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Bias and convergence of estimators|Bias and convergence of estimators]] |
| - | * [[Introduction to turbulence/Generalization to the estimator of any quantity]] | + | * [[Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity]] |
== [[Reynolds averaged equations and the turbulence closure problem]] == | == [[Reynolds averaged equations and the turbulence closure problem]] == | ||
Revision as of 12:43, 21 June 2007
| Nature of turbulence |
| Statistical analysis |
| Reynolds averaged equation |
| Turbulence kinetic energy |
| Stationarity and homogeneity |
| Homogeneous turbulence |
| Free turbulent shear flows |
| Wall bounded turbulent flows |
| Study questions
... template not finished yet! |
Nature of turbulence
- The turbulent world around us
- What is turbulence?
- Why study turbulence?
- The cost of our ignorance
- What do we really know for sure?
Statistical analysis
- Ensemble average
- Probability
- Multivariate random vaiables
- Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations
- Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity
Reynolds averaged equations and the turbulence closure problem
- The equations governing the instantaneous fluid motions
- Equations for the average velocity
- The turbulence problem
- Origins of turbulence
- The importance of non-linearity
- The Turbulence Closure problem and the Eddy Viscosity
- The Reynolds Stress Equations
Turbulence kinetic energy
Stationarity and homogeneity
Homogeneous turbulence
Free turbulent shear flows
Wall bounded turbulent flows
Credits
This text was based on "Lectures in Turbulence for the 21st Century" by Professor William K. George, Professor of Turbulence, Chalmers University of Technology, Gothenburg, Sweden.
