Pressure–strain terms in Langmuir turbulence

Pearson, Brodie; Grant, A. L. M.; Polton, Jeff

doi:10.1017/jfm.2019.701

Cited by 8 publications

(15 citation statements)

References 67 publications

(240 reference statements)

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“…Harcourt & D'Asaro 2008; Grant & Belcher 2009) and the budget terms (Pearson et al. 2019). Using the least-square regression, we determine the coefficients to be Figure 17( b ) plots the scaled profiles of for different cases.…”

Section: Dynamics Of Lagrangian-averaged Tkementioning

confidence: 99%

“…the pressure-strain correlation is associated with the inter-component energy transfer among the three Reynolds normal stresses. We note that the decomposition of the velocity-pressure-gradient term is not unique (Lumley 1975;Pearson et al 2019). The adopted decomposition has been widely used for studying turbulence dynamics (see, e.g.…”

Section: Reynolds Stress Budget In the Wave-phase-resolved Framementioning

confidence: 99%

“…The pressure related terms in the Reynolds stress budgets are often difficult to model, even for simple configurations such as the channel flow (Hoyas & Jiménez 2008). For the Langmuir turbulence with the effect of surface waves, Pearson et al (2019) studied the pressure-strain terms using the data from the LES of CL equations by decomposing the pressure fluctuations into the rapid, Stokes and slow parts. They proposed a model to incorporate the effect of the Stokes drift, but its performance is still limited in reproducing some components of the pressure-strain terms, and empirical formulations are used in the modelling of the slow pressure-strain term.…”

Section: Modelling Of Production Due To Wavementioning

confidence: 99%

“…The CL equations have been useful in many theoretical analyses and large-eddy simulations (LES) for the modelling of Langmuir turbulence, providing insights into its dynamic processes (see, e.g. Craik 1977;Leibovich 1977;Skyllingstad & Denbo 1995;McWilliams, Sullivan & Moeng 1997;Tejada-Martínez & Grosch 2007;Grant & Belcher 2009;Kukulka et al 2009;Rabe et al 2014;Deng et al 2019;Pearson, Grant & Polton 2019;Shrestha et al 2019;Sullivan & McWilliams 2019). For example, the budget of TKE shows that in Langmuir turbulence, production of TKE is mainly associated with the wave Stokes drift (Li, Garrett & Skyllingstad 2005;Polton & Belcher 2007;Grant & Belcher 2009), indicating that the energy of waves can be transferred to the turbulence through their interactions (Teixeira & Belcher 2002;Ardhuin & Jenkins 2006).…”

Section: Introductionmentioning

confidence: 99%

“…It has been found that the vertical Reynolds stress is directly enhanced by the Stokes production while the streamwise Reynolds stress is suppressed owing to the reduced production by the sheared current (Li et al 2005). The pressure-strain term in the Reynolds stress budget is considered important for the modelling of Reynolds stresses (Harcourt 2013;Pearson et al 2019).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Numerical study of effect of wave phase on Reynolds stresses and turbulent kinetic energy in Langmuir turbulence

2020

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Section: Dynamics Of Lagrangian-averaged Tkementioning

confidence: 99%

Section: Reynolds Stress Budget In the Wave-phase-resolved Framementioning

confidence: 99%

Section: Modelling Of Production Due To Wavementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical study of effect of wave phase on Reynolds stresses and turbulent kinetic energy in Langmuir turbulence

2020

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Effect of an incoming Gaussian wave packet on underlying turbulence

Xuan,

Deng,

Shen

2024

J. Fluid Mech.

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We present a simulation-based study of the effect of a passing wave packet on underlying fully developed turbulence. We propose a novel wave-phase-resolved simulation method inspired by Helmholtz decomposition to directly couple the turbulence simulation with instantaneous wave orbital motions without wave-phase averaging. We also introduce a boundary condition treatment for the turbulence at the wave surface, which allows the turbulence simulation to be conducted in a rectangular domain while retaining the wave-phase effect. The results obtained from the proposed method reveal considerable variations in turbulence statistics, including the enstrophy and Reynolds normal stresses, during wave packet passage. Most changes occur rapidly when the narrow bandwidth around the wave packet core passes. Further analyses of the energy spectra indicate that the enhancement of turbulence occurs across a wide range of scales, with the near-surface small-scale motions experiencing the most significant intensification. Meanwhile, large-scale motions with scales comparable to the boundary layer depth are also enhanced. The mechanisms underlying the Reynolds normal stress variation at different length scales are related to the energy transfer from the wave orbital straining to turbulence through production, the pressure–strain effect, the pressure diffusion and the wave advection. By assessing the turbulence statistics and dynamics impacted by a wave packet in detail, this study provides an improved understanding of the response of a developed turbulent flow to a transient wave field. The proposed simulation method also proves to be a promising phase-resolved approach for efficiently modelling the wave effect on turbulence.

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Parsing the Kinetic Energy Budget of the Ocean Surface Mixed Layer

Zippel

Farrar

Zappa

et al. 2022

Geophysical Research Letters

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The input of mechanical energy to the ocean from wind (the rate of wind work) drives ocean currents, grows surface waves, and creates turbulence that can enhance vertical mixing. Estimates of air/sea KE (Kinetic Energy) flux have been made by numerous studies using both models and global products (Ferrari & Wunsch, 2009, 2010von Storch et al., 2007;Wunsch, 1998; and many others). The majority of these studies focus on estimates and analysis relating to the shear-driven surface flux, the product of the surface stress and the surface current ( ⋅ )0 , which although is simple in form, can be difficult to estimate. Direct measurement of ocean surface current and stress is challenging, and not commonly made via global or local in situ measurements. Instead, more available estimates of atmospheric boundary layer stress and geostrophic, subsurface, or drifter-derived currents are used, each with their own set of challenges, assumptions and caveats when applied toward estimating ( ⋅ )0 at the ocean surface. Further, the overbar denoting a temporal average indicates that this form of the KE flux includes both mean, turbulent, and wave-coherent components, further complicating both estimation and analysis of the surface KE flux. The fraction of total wind work that is partitioned into currents, waves, and turbulence is poorly constrained but is important in determining the energy available for driving mean currents, waves, and vertical mixing respectively. A summary of recent best estimates of the partitioning of global air/sea KE flux is presented in Table 2 of Wunsch (2020) and shows the total wind work on the ocean is estimated at 70 TW (Ferrari & Wunsch, 2010), with 68 TW going to surface gravity waves (Rascle et al., 2008), 1-3 TW going toward general circulation (Rimac et al., 2016), and 0.2 TW going to internal waves (Thorpe, 2005). No direct estimates have been made for the amount available for turbulent energy in the upper ocean, which is related to both the wave-mediated and viscous-stress-mediated work at the interface. Wave-mediated fluxes at the surface estimated at ∼68 TW are the largest contribution, and since only a small fraction of this surface wave energy is estimated to reach the coastlines (2.4 TW, Rascle et al., 2008), the majority is expected to stay in the ocean basins and be transferred

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Pressure–strain terms in Langmuir turbulence

Cited by 8 publications

References 67 publications

Numerical study of effect of wave phase on Reynolds stresses and turbulent kinetic energy in Langmuir turbulence

Numerical study of effect of wave phase on Reynolds stresses and turbulent kinetic energy in Langmuir turbulence

Effect of an incoming Gaussian wave packet on underlying turbulence

Parsing the Kinetic Energy Budget of the Ocean Surface Mixed Layer

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