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The Time-Dependent Navier–Stokes Equations: Turbulent Flows

  • Volker John
Chapter
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 51)

Abstract

Usually, the behavior of incompressible turbulent flows is modeled with the incompressible Navier–Stokes equations ( 2.25). There is no mathematical definition of what is ‘turbulence’. From the mathematical point of view, turbulent flows occur at high Reynolds numbers. From the physical point of view, these flows are characterized by possessing flow structures (eddies, scales) of very different sizes. Consider, e.g., a tornado. This tornado has some very large flow structures (large eddies) but also millions of very small flow structures.

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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Volker John
    • 1
    • 2
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany
  2. 2.Fachbereich Mathematik und InformatikFreie Universität BerlinBerlinGermany

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