Intrusive gravity currents propagating into two-layer stratified ambients: Vorticity modeling

Khodkar, Mohammad Amin; Nasr-Azadani, Mohamad M.; Meiburg, Eckart

doi:10.1103/physrevfluids.1.044302

Cited by 8 publications

(13 citation statements)

References 22 publications

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“…In the following, we will employ the conservation of mass and vorticity to develop a more comprehensive, self-contained and closed model that does not require such empirical assumptions. The derivation of this model builds on the earlier work by Khodkar et al (2016).…”

Section: Amplitude and Wavelength Of The Undular Bore Wavesmentioning

confidence: 99%

“…Various aspects of this flow configuration, such as front velocity, velocity structure and wave excitation were further analysed by Cheong, Kuenen & Linden (2006), Flynn & Linden (2006), Lowe, Linden & Rottman (2002), Mehta, Sutherland & Kyba (2002) and Ooi, Constantinescu & Weber (2007), as well as by De Rooij, Linden & Dalziel (1999), who focused on the dynamics of a corresponding particle-laden flow. Khodkar, Nasr-Azadani & Meiburg (2016) proposed theoretical models for both the symmetric and non-symmetric variants of such flows, based on the conservation principles of mass and vorticity. This approach, which does not require closure assumptions for the pressure variable, reproduces the experimentally observed symmetry properties, and it yields good quantitative agreement regarding various properties of the evolving flow field.…”

Section: Introductionmentioning

confidence: 99%

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Removal of a dense bottom layer by a gravity current

Zhu

Meiburg

2021

J. Fluid Mech.

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Section: Amplitude and Wavelength Of The Undular Bore Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Removal of a dense bottom layer by a gravity current

Zhu

Meiburg

2021

J. Fluid Mech.

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“…The primary aim of this research is to gain a deeper understanding into the instability of Holmboe and to investigate the influence of a range of parameters on it in the IGC. To ascertain the accuracy of the findings, they are compared with those reported by Khodkar et al which were obtained by means of a DNS 2 . In “ The model ” section governing equation and modeling approaches are presented.…”

Section: Introductionmentioning

confidence: 95%

“…Under certain conditions, the intrusion of a stratified ambient fluid by a density current can lead to the formation of the IGC. At the interface between the density current and the ambient fluid, instabilities such as the Kelvin–Helmholtz and Holmboe instabilities become manifest 2 . The presence of these instabilities has an influential role in determining the behavior of density currents, making them a subject of great interest in numerous scientific and engineering fields, including hydrodynamics, meteorology, oceanography, and others.…”

Section: Introductionmentioning

confidence: 99%

Presence of Holmboe waves in particle-laden intrusive gravity current

Dehjalali

Khavasi

Nazmi

2023

Sci Rep

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The present study evaluates the prevalence of Holmboe waves in an intrusive gravity current (IGC) containing particles, employing large Eddy simulation (LES). Holmboe waves, a type of stratified shear layer-generated wave, are characterised by a relatively thin density interface compared to the thickness of the shear layer. The study demonstrates the occurrence of secondary rotation, wave stretching over time, and fluid ejection at the interface between the IGC and a lower gravity current (LGC). Results indicate that, aside from J and R, the density difference between the IGC and the LGC has an impact on Holmboe instability. However, a reduction in the density difference does not manifest consistently in the frequency, growth rate, and phase speed, though it does cause an increase in the wavelength. It is important to note that small particles do not affect the Holmboe instability of the IGC, while larger particles cause the current to become unstable and vary the characteristics of Holmboe instability. Moreover, an increase in the particle diameter size results in an increment in the wavelength, growth rate, and phase speed; but is accompanied by a decrease in frequency. Additionally, the enlargement of the bed slope angle makes the IGC more unstable, encouraging the growth of Kelvin–Helmholtz waves; however, this causes Holmboe waves to disappear on inclined beds. Finally, a range for the instabilities of both Kelvin–Helmholtz and Holmboe is provided.

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“…[37][38][39][40][41][42][43][44] These models allow to gain threedimensional information about the density and velocity fields of the flow, with a detail that is rarely possible to achieve during laboratory experiments. Although numerous two-dimensional DNSs and LESs have been developed to support experimental observation and theoretical models of intrusions flowing into a two-layer stratified ambient, 33,34,45,46 to the authors' knowledge, three-dimensional numerical studies have not been developed yet to study IGCs. In particular, for the first time, the interaction between an ISW and the IGC is investigated by LESs.…”

Section: Introductionmentioning

confidence: 99%

Large eddy simulations of solitons colliding with intrusions

Ottolenghi

Adduce

Roman³

et al. 2020

Physics of Fluids

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The dynamics of lock-release Intrusive Gravity Currents (IGCs) generating Internal Solitary Waves (ISWs) are investigated by threedimensional large eddy simulations. We set the numerical, laboratory-scale domain in order to release a uniform fluid in multi-layer, stratified ambient, exciting pycnocline displacements. By adopting different initial settings, we analyzed the influence of the ambient stratification on both IGCs and ISWs features. We present the main flow dynamics and the time evolution of IGC and ISW front and trough positions, respectively. During the simulations, the ISW is allowed to reach the vertical wall at the end of the domain, and it undergoes reflection. We then analyzed the interaction between the IGC and the reflected ISW: the wave is observed to accelerate as it is pushed upwards by the intrusion, which, in turns, flows below the ISW, decelerating. By analyzing instantaneous velocity fields and flow rates, we found that during this interaction, the ISW increases its celerity in response of the reduced area available for its propagation, partially occupied by the intrusion, and because the velocity field in the IGC interface surroundings acts to facilitate the ISW passage.

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Intrusive gravity currents propagating into two-layer stratified ambients: Vorticity modeling

Cited by 8 publications

References 22 publications

Removal of a dense bottom layer by a gravity current

Removal of a dense bottom layer by a gravity current

Presence of Holmboe waves in particle-laden intrusive gravity current

Large eddy simulations of solitons colliding with intrusions

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