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!