Energy- and flux-budget (EFB) turbulence closure model for stably stratified flows. Part I: Steady-state, homogeneous regimes

Sergej S. Zilitinkevich, T. Elperin, N. Kleeorin, I. Rogachevskii

Research output: Contribution to journalArticlepeer-review

168 Scopus citations

Abstract

We propose a new turbulence closure model based on the budget equations for the key second moments: turbulent kinetic and potential energies: TKE and TPE (comprising the turbulent total energy: TTE = TKE + TPE) and vertical turbulent fluxes of momentum and buoyancy (proportional to potential temperature). Besides the concept of TTE, we take into account the non-gradient correction to the traditional buoyancy flux formulation. The proposed model permits the existence of turbulence at any gradient Richardson number, Ri. Instead of the critical value of Richardson number separating-as is usually assumed - the turbulent and the laminar regimes, the suggested model reveals a transitional interval, 0.1 < Ri < 1, which separates two regimes of essentially different nature but both turbulent: strong turbulence at Ri ≪ 1; and weak turbulence, capable of transporting momentum but much less efficient in transporting heat, at Ri > 1. Predictions from this model are consistent with available data from atmospheric and laboratory experiments, direct numerical simulation and large-eddy simulation.

Original languageEnglish
Pages (from-to)167-191
Number of pages25
JournalBoundary-Layer Meteorology
Volume125
Issue number2
DOIs
StatePublished - 1 Nov 2007

Keywords

  • Anisotropy
  • Critical Richardson number
  • Eddy viscosity
  • Heat conductivity
  • Kinetic, potential and total turbulent energies
  • Stable stratification
  • Turbulence closure
  • Turbulent fluxes
  • Turbulent length scale

ASJC Scopus subject areas

  • Atmospheric Science

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