- George Batchelor [Old, but classics]
- An Introduction to Fluid Dynamics ( I have the feeling to be able to do better in some parts - but without trying it how one can say ?)
Regarding Turbulence itself, I would start from on-line resources, and the first reading could easily be:
which could continue continue with some selected topics by
If I have to choose just other three references, I would select (in brackets [ ] Shalizi's -see below-comments, in ( ) my comments) :
- George Batchelor [Old, but classics]
- The Theory of Homogeneous Turbulence (obsolete mathematics but a clear view of the problem)
- Uriel Frisch, Turbulence: The Legacy of A. N. Kolmogorov [An excellent introduction, very strong on defending Kolmogorov's work from misunderstandings and invalid criticisms.] One paper that summarizes Frisch view is here.
Of the latter this paper by David Ruelle can be a complement.
- Jensen, Paladin and Vulpiani, Dynamical systems approach to turbulence is a complementary approach to remind.
Also the old classic book by Tennekes and Lumley is available, legally or not, on-line, here.
Other stuff which is intriguing me, are random cascades (and turbulence), a topic that I came to know through the work of Ed Waymire, and that you can come close by reading:
- Peckham, S. and E. Waymire, The simmetry of turbulence, 1996
- Birnir, The Kolmogorov, Obukhov, She, Leveque scaling in turbulence, 2013
Also interesting is the works on rinormalization group and turbulences of which this is a google synthesis.
Finally, you can look at the Cosma Shalizi's bibliography. Huge and overwhelming indeed, it was the starting point of this my own post.
Finally, you can look at the Cosma Shalizi's bibliography. Huge and overwhelming indeed, it was the starting point of this my own post.
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