Articles | Volume 11, issue 1
Nonlin. Processes Geophys., 11, 83–97, 2004
https://doi.org/10.5194/npg-11-83-2004

Special issue: Dedicated to Prof. A. D. Kirwan Jr. on the occasion of his...

Nonlin. Processes Geophys., 11, 83–97, 2004
https://doi.org/10.5194/npg-11-83-2004

  25 Feb 2004

25 Feb 2004

The length scale equation in turbulence models

L. H. Kantha L. H. Kantha
  • Department of Aerospace Engineering Sciences and Program in Atmospheric and Oceanic Sciences, University of Colorado,

Abstract. The question of which length scale equation to use in models of turbulence has long been controversial and several approaches have been suggested and used in the past. In this paper, we demonstrate that all these approaches are equivalent and the inconsistencies in the use of some of these approaches arise from improper modeling of the diffusion term in the length scale equation. We formulate a general length scale equation, which encompasses all current approaches. This equation is devoid of inconsistencies and should prove useful in its general form, or one of its subsets, in turbulence closure modeling.