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k-ε Model for Density Preserving and Boussinesq Fluids

  • Kolumban Hutter
  • Klaus Jöhnk
Chapter

Abstract

In this chapter a simple turbulence model of first order — called the k-ε model — will be developed, which merely uses evolution equations for the specific turbulent kinetic energy, k and the specific turbulent dissipation rate, ε. In the derivation concepts will become known, which illustrate how also higher order models might be handled. This so-called k-ε model shall in the subsequent paragraphs be developed for a density preserving fluid and is then extended for a Boussinesq fluid i.e., a fluid in which density variations are only accounted for in the body (gravity) force. In particular the Coriolis acceleration and the buoyancy effects play often a role in combination in such geophysical applications, e.g. in a stratified atmosphere or in the ocean which are typical configurations in meteorology, oceanography and limnology.

Keywords

Turbulent Kinetic Energy Dissipation Rate REYNOLDS Stress Isotropic Turbulence Turbulent Dissipation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Kolumban Hutter
    • 1
  • Klaus Jöhnk
    • 2
  1. 1.Institut für MechanikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.FNWI/IBEDUniversity of AmsterdamAmsterdamThe Netherlands

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