Asymmetries in gravity currents attributed to the nonlinear equation of state

Grace, Andrew; Stastna, Marek; Lamb, Kevin G.; Scott, K. Andrea

doi:10.1017/jfm.2021.87

Cited by 7 publications

(3 citation statements)

References 24 publications

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“…To demonstrate the efficacy of our methodology, we choose two application areas, one in which the geometry is complex (shoaling internal waves) and one in which the equation of state (EOS) is nonlinear (in water below the 4 • C temperature of maximum density). Grace et al (2021) simulated the evolution of gravity currents in water below the 4 • C temperature of maximum density. They demonstrated profound asymmetries between cold gravity currents intruding into warm water and warm gravity currents intruding into cold water.…”

Section: Introductionmentioning

confidence: 99%

“…They labelled this temperature regime the "weak cabbeling" regime, because two water parcels mixed together yield a different density than the average density of the individual parcels. Grace et al (2021) found histograms of a single fluid quantity (e.g. temperature) to be a useful analysis tool in characterising the gravity currents.…”

Section: Introductionmentioning

confidence: 99%

“…Here, we bring the methods of Penney et al ( 2020) and Grace et al (2021) together, investigating the utility of selecting fluid parcels based on the combination of two quantities, for example, asking where the density is within one range, and the kinetic energy (KE) exceeds a threshold value simultaneously. An interactive MATLAB tool is developed and applied to two example flows which have previously been studied extensively.…”

Section: Introductionmentioning

confidence: 99%

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A new approach to understanding fluid mixing in process-study models of stratified fluids

Hartharn-Evans,

Stastna,

Carr

2024

Nonlin. Processes Geophys.

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Abstract. While well-established energy-based methods of quantifying diapycnal mixing in process-study numerical models are often used to provide information about when mixing occurs, and how much mixing has occurred, describing how and where this mixing has taken place remains a challenge. Moreover, methods based on sorting the density field struggle when the model is under-resolved and when there is uncertainty as to the definition of the reference density when bathymetry is present. Here, an alternative method of understanding mixing is proposed. Paired histograms of user-selected variables (which we abbreviate USPs (user-controlled scatter plots)) are employed to identify mixing fluid and are then used to display regions of fluid in physical space that are undergoing mixing. This paper presents two case studies showcasing this method: shoaling internal solitary waves and a shear instability in cold water influenced by the nonlinearity of the equation of state. For the first case, the USP method identifies differences in the mixing processes associated with different internal solitary wave breaking types, including differences in the horizontal extent and advection of mixed fluid. For the second case, the method is used to identify how density and passive tracers are mixed within the core of the asymmetric cold-water Kelvin–Helmholtz instability.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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