Stratified Turbulence in the Atmosphere and Oceans: A New Subgrid Model

Canuto, V.; Minotti, F.

doi:10.1175/1520-0469(1993)050<1925:stitaa>2.0.co;2

Cited by 41 publications

(26 citation statements)

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“…(8b) for the squared potential temperature fluctuations, although well-known over decades, was ignored in the operationally used turbulent closure models. Only rather recently was treated in terms of the turbulent potential energy (TPE) by Dalaudier and Sidi (1987), Hunt et al (1988), Canuto and Minotti (1993), Schumann and Gerz (1995), Hunt (1996, 2004) (2005) and Rehmann and Hwang (2005). Zilitinkevich (2002) employed the TKE and the TPE budget equations on equal terms to derive an energetically consistent turbulent closure model avoiding the traditional hypothesis (that leads to the dead end, at least in the stable stratification).…”

Section: Reynolds Equations and Budget Equations For Second Momentsmentioning

confidence: 99%

“…Zilitinkevich (2002) employed the TKE and the TPE budget equations on equal terms to derive an energetically consistent turbulent closure model avoiding the traditional hypothesis (that leads to the dead end, at least in the stable stratification). All three budgets, for TKE, TPE and TTE were considered by Canuto and Minotti (1993) and Elperin et al (2002).…”

Section: Reynolds Equations and Budget Equations For Second Momentsmentioning

confidence: 99%

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

Zilitinkevich

Elperin

Kleeorin

et al. 2007

Boundary-Layer Meteorol

170

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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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Section: Reynolds Equations and Budget Equations For Second Momentsmentioning

confidence: 99%

Section: Reynolds Equations and Budget Equations For Second Momentsmentioning

confidence: 99%

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

Zilitinkevich

Elperin

Kleeorin

et al. 2007

Boundary-Layer Meteorol

170

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“…Eorts have been made to account for the eect of stable and unstable strati®ca-tion on the model coecients [7,8,13,21,52]. Most of the proposed formulations [8,13,52] account for stability corrections in the eddy-viscosity model by modifying the coecient with an ad hoc function of the non-dimensional stability parameter.…”

Section: Eects Of Stability On Model Coecientsmentioning

confidence: 99%

Atmospheric stability effect on subgrid-scale physics for large-eddy simulation

Porté‐Agel

Pahlow

Meneveau

et al. 2001

Advances in Water Resources

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Field measurements in the atmospheric boundary layer were carried out to identify the eect of atmospheric stability on subgridscale physics for large-eddy simulation. The basic instrumentation setup consisted of 12 three-dimensional sonic anemometers arranged in two parallel horizontal arrays (seven sensors in the lower array and ®ve sensors in the upper array). Data from this setup are used to compute the subgrid-scale (SGS) heat¯uxes and SGS dissipation of the temperature variance under stable and unstable stability conditions. The relative contribution of the SGS vertical¯ux to the total turbulent¯ux increases when going from unstable to stable conditions. The relative importance of negative SGS dissipation (backscatter) events becomes larger under stable conditions. The model coecients for two well-known SGS models (eddy-viscosity and non-linear) are computed. Model coecients are found to depend strongly on stability. Under both stable and unstable conditions, large negative SGS dissipation is associated with the onset of ejection events while large positive SGS dissipation tends to occur during the onset of sweep events. These ®ndings are also supported by conditionally sampled 2D velocity and temperature ®elds obtained using the 12 anemometers placed in a vertical array. Ó

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“…In environments with strong stratification, turbulent motions are damped in the vertical direction leading to anisotropy of the turbulent field (10). In an eddy-viscosity closure scheme, flow history takes a reduced role; fluctuations are mostly dependent on the instantaneous mean strain rates.…”

Section: Approachmentioning

confidence: 99%

“…This method is augmented by the dissipation spectra for stable stratification developed by Canuto and Minotti (10). For coarse resolution simulations under strong stratification, a volume element is too large to resolve isotropic turbulent fluctuations.…”

Section: Approachmentioning

confidence: 99%

Numerical Exploration of the Stable Boundary Layer

MacCall

Haines

Measure

et al. 2008

2008 DoD HPCMP Users Group Conference

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Approved for public release; distribution is unlimited.ii REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YYYY)July 2008 ARL-TN-323 SPONSOR/MONITOR'S ACRONYM(S) 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution is unlimited. SUPPLEMENTARY NOTES ABSTRACTThe planetary boundary layer under strong, stable stratification continues to elude quantitative description despite its relatively frequent occurrence and many years of effort. Measurements indicate that stable boundary layers (SBLs) possess complex temperature and wind structures which apparently provide favorable conditions for the development of the many interacting processes that can occur within the SBL. Consequently, SBLs are subject to sporadic overturning and turbulent episodes. The National Taiwan University/Purdue University nonhydrostatic model has been outfitted with a Reynolds stress turbulence closure scheme to provide a numerical test bed for probing these environments. The model has been efficiently parallelized for the U. iii

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Stratified Turbulence in the Atmosphere and Oceans: A New Subgrid Model

Cited by 41 publications

References 0 publications

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

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

Atmospheric stability effect on subgrid-scale physics for large-eddy simulation

Numerical Exploration of the Stable Boundary Layer

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