[CFD] The k - epsilon Turbulence Model

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An introduction to the k - epsilon turbulence model that is used by all mainstream CFD codes (OpenFOAM, Fluent, CFX, Star, COMSOL, Saturne). The following topics are covered:

1) 9:30 What is the standard k - epsilon model?

2) 11:05 How has the model evolved over time and what variant am I using?

3) 13:30 What are the damping functions and why are they needed?

4) 17:56 What are high-Re and low-Re formulations of the k - epsilon model?

#kEpsilon #fluidmechanics101 #cfd

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Some useful references:

1) W. P. Jones and B. E. Launder
The prediction of laminarization with a two-equation model of turbulence, Int. Journal of Heat and Mass Transfer, 15, 1972, pp. 301-314.

2) B. E. Launder and D. B. Spalding
The numerical computation of turbulent flows, Comp. Methods in App. Mech and Engineering 3, 1974, pp. 269-289.

3) B. E. Launder and B. I. Sharma
Application of the energy dissipation model of turbulence to the calculation of flow near a spinning disc, Letters in Heat and Mass Transfer, 1974, 1, pp. 131-138.

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Disclaimer
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The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.
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I hold a PhD in physics and have been working on CFD simulations for decades. Even so I still find your lecture very useful and comprehensible! THX a lot!

superniceJeffLee
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This is amazing! I cannot believe that I am watching this video at 4:00 am and understanding everything. Thank you so much!

adghawre
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Wow!!!
what an amazing lecture, now I can have a far better view of all these factors in CFD modelling.
Thanks a million.

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As an engineering student, these videos are life saving at times of need. Keep up the awesome work!

firevarun
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teddyokolo
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killua
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hesamnaeimi
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Explained so well. In depth explanation also covering basics in a way that is easy to understand.

ashokdarbhe
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Thank you so much for this excellent presentation! I have been a practicing engineer for many years. One of our focus points is coupled-physics CFD-Thermal analyses for rotating electric machines.

JoshuaLorenz-ss
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your way of explanation is outstanding

sapyman
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What a wonderful video, beautifully and calmly presented, super clear and well researched, thank you for this! I'm doing my thesis in CFD of a heat exchanger and have been wondering exactly what the magic behind the scene was for these k-eps and k-omega SST models. You've shed some great light on this. Much love! :D

MalcolmAkner
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I have a CFD exam tomorrow and you have been one of my best buddies this past weekend while studying. Thanks :D

xTerpsichore
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OgamerPro
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sergeianpilov
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Great lecture. I am doing a CFD project at my university and your videos are helping a lot to catch the theory behind everything!

I started with the Wall-Functions, then this one, now going for the k-w SST one!

DaviMonticelli
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Amazing channel! Well done. 2 questions

1) would it be possible to give a lecture to summarize the best applications for each turbulence model?

2) could you give a lecture about implicit and explicit models and their applications ?

Thank you very much !

antoniodesantis
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Thank you for making this available to us!

kennettallgren
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giuseppe
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sirerwin
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