dorsal/arxiv
View SchemaEnergy- and flux-budget (EFB) turbulence closure model for the stably stratified flows. Part I: Steady-state, homogeneous regimes
| Authors | S. S. Zilitinkevich, T. Elperin, N. Kleeorin, I. Rogachevskii |
|---|---|
| Categories | |
| ArXiv ID | physics/0610157 |
| URL | https://arxiv.org/abs/physics/0610157 |
| DOI | 10.1007/s10546-007-9189-2 |
| Journal | Boundary-Layer Meteor.125,167-192 (2007) |
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 grants the existence of turbulence at any gradient Richardson number, Ri. Instead of its critical value separating - as usually assumed - the turbulent and the laminar regimes, it reveals a transition 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 lab experiments, direct numerical simulation (DNS) and large-eddy simulation (LES).
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"abstract": "We propose a new turbulence closure model based on the budget equations for\nthe key second moments: turbulent kinetic and potential energies: TKE and TPE\n(comprising the turbulent total energy: TTE = TKE + TPE) and vertical turbulent\nfluxes of momentum and buoyancy (proportional to potential temperature).\nBesides the concept of TTE, we take into account the non-gradient correction to\nthe traditional buoyancy flux formulation. The proposed model grants the\nexistence of turbulence at any gradient Richardson number, Ri. Instead of its\ncritical value separating - as usually assumed - the turbulent and the laminar\nregimes, it reveals a transition interval, 0.1\u003c Ri \u003c1, which separates two\nregimes of essentially different nature but both turbulent: strong turbulence\nat Ri\u003c\u003c1; and weak turbulence, capable of transporting momentum but much less\nefficient in transporting heat, at Ri\u003e1. Predictions from this model are\nconsistent with available data from atmospheric and lab experiments, direct\nnumerical simulation (DNS) and large-eddy simulation (LES).",
"arxiv_id": "physics/0610157",
"authors": [
"S. S. Zilitinkevich",
"T. Elperin",
"N. Kleeorin",
"I. Rogachevskii"
],
"categories": [
"physics.ao-ph",
"astro-ph.EP",
"nlin.CD",
"physics.geo-ph"
],
"doi": "10.1007/s10546-007-9189-2",
"journal_ref": "Boundary-Layer Meteor.125,167-192 (2007)",
"title": "Energy- and flux-budget (EFB) turbulence closure model for the stably stratified flows. Part I: Steady-state, homogeneous regimes",
"url": "https://arxiv.org/abs/physics/0610157"
},
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