K-epsilon turbulence model

The k-epsilon (k-ε) turbulence model is one of the most common models used in computational fluid dynamics (CFD) to simulate mean flow characteristics for turbulent flow conditions. It is a two-equation model that gives a general description of turbulence by means of two transport equations (partial differential equations, PDEs). The original impetus for the k-epsilon model was to improve the mixing-length model, as well as to find an alternative to algebraically prescribing turbulent length scales in moderate- to high-complexity flows.

  • The first transported variable is the turbulence kinetic energy (k).
  • The second transported variable is the rate of dissipation of turbulence kinetic energy (ε).