Transport of momentum and scalar in turbulent flows with anisotropic dispersive waves

Sukoriansky, Semion; Dikovskaya, Nadejda; Galperin, Boris

doi:10.1029/2009gl038632

Cited by 16 publications

(24 citation statements)

References 47 publications

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“…Larger, wave-dominated scales make no contribution to κ z and so it becomes scale-independent being sustained by the turbulent scales only [1]. This result demonstrates that κ z has correct asymptotic behaviour in the limit of strong stable stratification and provides a new interpretation of the EBO model.…”

Section: Transport Of Momentum and Scalarmentioning

confidence: 47%

“…Any vector mode u α and scalar mode T can be represented as u α = u < α + u > α and T = T < + T > . For the fast modes, Re = O (1). Ensemble averaging of the fast modes over the shell D > shrinks the domain of definition from D = D < ∪ D > to D < .…”

Section: Langevin Equation With the Renormalized Temperature Green Fumentioning

confidence: 99%

“…These flows are also turbulent, and the interaction between turbulence and waves has significant impact upon the transport of momentum and scalars on different scales [1,2]. Understanding and quantification of this interaction is one of the important unresolved problems of geophysical fluid dynamics and fluid dynamics in general [3,4].…”

Section: Introductionmentioning

confidence: 99%

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An analytical theory of the buoyancy–Kolmogorov subrange transition in turbulent flows with stable stratification

Sukoriansky

Galperin

2013

Phil. Trans. R. Soc. A.

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The buoyancy subrange of stably stratified turbulence is defined as an intermediate range of scales larger than those in the inertial subrange. This subrange encompasses the crossover from internal gravity waves (IGWs) to small-scale turbulence. The energy exchange between the waves and small-scale turbulence is communicated across this subrange. At the same time, it features progressive anisotropization of flow characteristics on increasing spatial scales. Despite many observational and computational studies of the buoyancy subrange, its theoretical understanding has been lagging. This article presents an investigation of the buoyancy subrange using the quasi-normal scale elimination (QNSE) theory of turbulence. This spectral theory uses a recursive procedure of small-scale modes elimination based upon a quasi-normal mapping of the velocity and temperature fields using the Langevin equations. In the limit of weak stable stratification, the theory becomes completely analytical and yields simple expressions for horizontal and vertical eddy viscosities and eddy diffusivities. In addition, the theory provides expressions for various one-dimensional spectra that quantify turbulence anisotropization. The theory reveals how the dispersion relation for IGWs is modified by turbulence, thus alleviating many unique waves' features. Predictions of the QNSE theory for the buoyancy subrange are shown to agree well with various data.

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Section: Transport Of Momentum and Scalarmentioning

confidence: 47%

Section: Langevin Equation With the Renormalized Temperature Green Fumentioning

confidence: 99%

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An analytical theory of the buoyancy–Kolmogorov subrange transition in turbulent flows with stable stratification

Sukoriansky

Galperin

2013

Phil. Trans. R. Soc. A.

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“…Recent investigations have revealed two more attributes of the zonostrophic regime-nonlinear waves, or zonons , and the scale independency of the coefficient of lateral, or cross-jet eddy diffusivity (Sukoriansky et al 2009). Figure 1 provides schematic representation of the transition from geostrophic to zonostrophic turbulence as well as the main features of the latter regime.…”

Section: Introductionmentioning

confidence: 98%

Geophysical flows with anisotropic turbulence and dispersive waves: flows with a β-effect

2010

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Geostrophic turbulence is a key paradigm in the current understanding of the large-scale planetary circulations. It implies that a flow is turbulent, rotating, stably stratified, and in near-geostrophic balance. When a small-scale forcing is present, geostrophic turbulence features an inverse energy cascade. When the meridional variation of the Coriolis parameter (or a β-effect) is included, the horizontal flow symmetry breaks down giving rise to the emergence of jet flows. The presence of a large-scale drag ensures that the flow attains a steady state. Dependent on the governing parameters, four steady-state flow regimes are possible, two of which are considered in this study. In one of these regimes, a flow is dominated by the drag while in the other one, the recently discovered regime of zonostrophic turbulence, a flow becomes strongly anisotropic and features slowly evolving systems of alternating zonal jets. Zonostrophic turbulence is distinguished by anisotropic inverse energy cascade and emergence of a new class of nonlinear waves known as zonons. In addition, meridional scalar diffusion is strongly modified in this regime. This paper provides an overview of various regimes of turbulence with a β-effect, elaborates main characteristics of frictiondominated and zonostrophic turbulence, elucidates the physical nature of the zonons, discusses the meridional diffusion processes in different regimes, and relates these results to oceanic observations.

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“…They have been observationally analysed using different approaches (Ralph et al, 1997;Doyle and Durran, 2002;Viana et al, 2009Viana et al, , 2010Viana et al, , 2012Sun et al, 2012;Román-Cascón et al, 2015a). All these studies illustrate the difficulties in determining the origin and formation mechanisms of GWs, their importance as sources of momentum and heat transport (Sukoriansky et al, 2009;Fernando and Weil, 2010) and the necessity of their accurate parameterization in NWP models (Fritts, 2003;Kim and Hong, 2009;Belušić and Mahrt, 2012;Nappo, 2012;Sun et al, 2015b).…”

Section: Introductionmentioning

confidence: 99%

Interactions among drainage flows, gravity waves and turbulence: a BLLAST case study

et al. 2015

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Abstract. The interactions among several stable-boundarylayer (SBL) processes occurring just after the evening transition of 2 July 2011 have been analysed using data from instruments deployed over the area of Lannemezan (France) during the Boundary Layer Late Afternoon and Sunset Turbulence (BLLAST) field campaign. The near-calm situation of the afternoon was followed by the formation of local shallow drainage flows (SDFs) of less than 10 m depth at different locations. The SDF stage ended with the arrival of a stronger wind over a deeper layer more associated with the mountain-plain circulation, which caused mixing and destruction of the SDFs. Several gravity-wave-related oscillations were also observed on different time series. Wavelet analyses and wave parameters were calculated from high resolution and accurate surface pressure data of an array of microbarometers. These waves propagated relatively long distances within the SBL. The effects of these phenomena on turbulent parameters (friction velocity and kinematic heat flux) have been studied through multi-resolution flux decomposition methods performed on high frequency data from sonic anemometers deployed at different heights and locations. With this method, we were able to detect the different time-scales involved in each turbulent parameter and separate them from wave contributions, which becomes very important when choosing averaging-windows for surface flux computations using eddy covariance methods. The extensive instrumentation allowed us to highlight in detail the peculiarities of the surface turbulent parameters in the SBL, where several of the noted processes were interacting and producing important variations in turbulence with height and between sites along the sloping terrain.

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Transport of momentum and scalar in turbulent flows with anisotropic dispersive waves

Cited by 16 publications

References 47 publications

An analytical theory of the buoyancy–Kolmogorov subrange transition in turbulent flows with stable stratification

An analytical theory of the buoyancy–Kolmogorov subrange transition in turbulent flows with stable stratification

Geophysical flows with anisotropic turbulence and dispersive waves: flows with a β-effect

Interactions among drainage flows, gravity waves and turbulence: a BLLAST case study

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