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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).


Applications and related fields

For general continuum mechanics, See 73BXX, or other parts of 73-XX [Schematic of subareas and related areas]

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.

Textbooks, reference works, and tutorials

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.

Software and tables

CFD codes

nekton - fluid flow and heat transfer

Other web sites with this focus

Selected Topics at this site

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