Introduction to turbulence
From CFD-Wiki
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| - | == [[Nature of turbulence|Nature of turbulence]] == | + | == [[Introduction to turbulence/Nature of turbulence|Nature of turbulence]] == |
| - | * [[Nature of turbulence #The turbulent world around us | The turbulent world around us]] | + | * [[Introduction to turbulence/Nature of turbulence#The turbulent world around us|The turbulent world around us]] |
| - | * [[Nature of turbulence #What is turbulence? | What is turbulence?]] | + | * [[Introduction to turbulence/Nature of turbulence#What is turbulence?|What is turbulence?]] |
| - | * [[Nature of turbulence #Why study turbulence? | Why study turbulence? ]] | + | * [[Introduction to turbulence/Nature of turbulence#Why study turbulence?|Why study turbulence?]] |
| - | * [[Nature of turbulence #The cost of our ignorance | The cost of our ignorance ]] | + | * [[Introduction to turbulence/Nature of turbulence#The cost of our ignorance|The cost of our ignorance]] |
| - | * [[Nature of turbulence #What do we really know for sure? | What do we really know for sure? ]] | + | * [[Introduction to turbulence/Nature of turbulence#What do we really know for sure?|What do we really know for sure?]] |
| - | == [[Statistical analysis | + | == [[Introduction to turbulence/Statistical analysis|Statistical analysis]] == |
| - | * [[Ensemble average | + | * [[Introduction to turbulence/Ensemble average|Ensemble average]] |
| - | ** [[Ensemble average | + | ** [[Introduction to turbulence/Ensemble average#Mean or ensemble average|Mean or ensemble average]] |
| - | ** [[Ensemble average | + | ** [[Introduction to turbulence/Ensemble average#Fluctuations about the mean|Fluctuations about the mean]] |
| - | ** [[Ensemble average | + | ** [[Introduction to turbulence/Ensemble average#Higher moments|Higher moments]] |
| - | * [[ | + | * [[Introduction to turbulence/Probability|Probability]] |
| - | ** [[Probability | + | ** [[Introduction to turbulence/Probability#Histogram and probability density function|Histogram and probability density function]] |
| - | ** [[Probability | + | ** [[Introduction to turbulence/Probability#Probability distribution|Probability distribution]] |
| - | ** [[ | + | ** [[Introduction to turbulence/Probability#Gaussian (or normal) distributions|Gaussian (or normal) distributions]] |
| - | ** [[ | + | ** [[Introduction to turbulence/Probability#Skewness and kurtosis|Skewness and kurtosis]] |
| - | * [[Multivariate random | + | * [[Introduction to turbulence/Multivariate random variables|Multivariate random vaiables]] |
| - | ** [[Multivariate random vaiables#Joint pdfs and joint moments| Joint pdfs and joint moments]] | + | ** [[Introduction to turbulence/Multivariate random vaiables#Joint pdfs and joint moments|Joint pdfs and joint moments]] |
| - | ** [[Multivariate random vaiables#The bi-variate normal (or Gaussian) distribution| The bi-variate normal (or Gaussian) distribution]] | + | ** [[Introduction to turbulence/Multivariate random vaiables#The bi-variate normal (or Gaussian) distribution|The bi-variate normal (or Gaussian) distribution]] |
| - | ** [[Multivariate random vaiables#Statistical independence and lack of correlation| Statistical independence and lack of correlation]] | + | ** [[Introduction to turbulence/Multivariate random vaiables#Statistical independence and lack of correlation|Statistical independence and lack of correlation]] |
| - | * [[Estimation from a finite number of realizations]] | + | * [[Introduction to turbulence/Estimation from a finite number of realizations]] |
| - | ** [[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#Estimators for averaged quantities|Estimators for averaged quantities]] |
| - | ** [[Estimation from a finite number of realizations#Bias and convergence of estimators| Bias and convergence of estimators]] | + | ** [[Introduction to turbulence/Estimation from a finite number of realizations#Bias and convergence of estimators|Bias and convergence of estimators]] |
| - | * [[Generalization to the estimator of any quantity]] | + | * [[Introduction to turbulence/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 11:57, 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/Estimation from a finite number of realizations
- Introduction to turbulence/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.
