76: Fluid mechanics
Fluid mechanics studies air, water, and other fluids in motion: compression, turbulence, diffusion, wave propagation, and so on. Mathematically this includes study of solutions of differential equations, including large-scale numerical methods (e.g the finite-element method), although the development of those techniques is more properly in section 65 (Numerical Analysis).
For general continuum mechanics, See 74AXX, or other parts of 74-XX
This image slightly hand-edited for clarity.
(Fluid Dynamics is divided into more subareas than any other discipline, in the MSC scheme!)
Browse all (old) classifications for this area at the AMS.
Belotserkovskii, O. M.: "CFD state-of-the-art in the U.S.S.R.", The Second World Congress of Computational Mechanics, Part II (Stuttgart, 1990). Internat. J. Numer. Methods Engrg. 34 (1992), no. 2, 395--415. MR93a:76063
Comte, Pierre: "(A primer to) numerical methods for compressible flows", Mécanique des fluides numérique (Les Houches, 1993), 165--219; North-Holland, Amsterdam, 1996. CMP1426154
Tanner, Roger I.: "Constitutive equations for the computing person", Viscoelasticity and rheology (Madison, Wis., 1984), 421--439; Academic Press, Orlando, Fla., 1985. MR87j:76020
Newsgroup sci.mech.fluids, sci.physics.computational.fluid-dynamics
There is a considerable collection of useful formulas for wind calculations and so on at the Aviation Formulary.
nekton - fluid flow and heat transfer