Classical Books with a more theoretical approach to turbulence and DNS

[Klaus3]

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it.

I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from there to RANS. A bit more coverage of the potentially chaotic behavior of the equations, sensitivity to perturbations, boundary conditions...

 

[berkeman]

Paging @boneh3ad in case he has some suggestions.

 

[Andy Resnick]

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it.

I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from there to RANS. A bit more coverage of the potentially chaotic behavior of the equations, sensitivity to perturbations, boundary conditions...

Holmes, Lumley, Berkooz and Rowley's "Turbulence, Coherent Structures, Dynamical Systems and Symmetry" may be a good match for you. In addition, Saffman's "Vortex Dynamics" may be worth examining.

 

[Klaus3]

Holmes, Lumley, Berkooz and Rowley's "Turbulence, Coherent Structures, Dynamical Systems and Symmetry" may be a good match for you. In addition, Saffman's "Vortex Dynamics" may be worth examining.

Thanks! I will look into it!

 

[boneh3ad]

Davidson has a book that has some alternative approaches to those of Pope that may be worth a look.

You can also take a look at some of the older works like Batchelor or Hinze or the two-volume beast that is Monin and Yaglom (though their goal is the statistical treatment of the problem).

Honestly, I am neither a turbulence guy nor a CFD guy, so I can name drop the classics like these (or the ones suggested previously), but am probably not the best source for anything much more intricate than that.

If you have questions about wind tunnel experiments or transition to turbulence, then we're in business.