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There is a paper titled "Lagrangian/Hamiltonian formalism for description of Navier-Stokes fluids" in PRL. After reading the paper, the question arises how far can we investigate turbulence with this approach? With all the mathematical machinery available to us in solving classical field theory and QFT, will it be of any help if we start with a Lagrangian density in taming the turbulence problem?

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Can you make the paper available to a broader public, I just hit a nasty login shell when I want to download the PDF? Is a version of this in tha arxiv too for example? I'm very interested in this issue too! – Dilaton Oct 9 '12 at 15:41
I think there is a good question in here somewhere, but renormalizedQuanta, what are you really asking? In its current form this post is more of a statement than a question, or at least it's not a very well defined question. Could you perhaps edit it to be more specific about what you want to know? E.g. are you asking if this method is useful? – David Zaslavsky♦ Oct 9 '12 at 16:38
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@DavidZ I think there is only the question mark missing at the end of the last sentence and that he is asking if these methods are useful to turbulence... – Dilaton Oct 9 '12 at 16:58
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Well, perhaps... I still do think the question could benefit from the inclusion of some more details, but I won't close it at this time. – David Zaslavsky♦ Oct 9 '12 at 17:02
Thanks @DavidZ I like this questen a lot and I' m curious to see what other answers will come and for this it has to stay open ... – Dilaton Oct 9 '12 at 17:48
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Look into Smooth Particle Hydrodynamics for a lagrangian approach to fluid simulation.

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