2020
DOI: 10.1038/s41598-020-71665-9
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Near wall Prandtl number effects on velocity gradient invariants and flow topologies in turbulent Rayleigh–Bénard convection

Abstract: The statistical behaviours of the invariants of the velocity gradient tensor and flow topologies for Rayleigh–Bénard convection of Newtonian fluids in cubic enclosures have been analysed using Direct Numerical Simulations (DNS) for a range of different values of Rayleigh (i.e. $$Ra=10^7-10^9$$ R a = 10 7 - 10 9 ) and Prandtl (i.e. $$Pr=1$$ P r = 1 and 320) numbers. The behaviours of second and third invariants of the velocity gradient tensor suggest that the bulk region of the flow at the core of the … Show more

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Cited by 3 publications
(2 citation statements)
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“…Relevant examples along these lines are due to Nakano et al [105] and Tomita and Abe [106] for a liquid metal and air, respectively (primitive-variable approach), and Bucchignani and Stella [107] and Stella and Bucchignani [108] for water (velocityvorticity method). More recently, Yigit et al [109] have considered Pr = 1 and Pr = 320 (yet in the framework of a primitive-variables technique). Regardless of the used numerical strategy, these efforts have highlighted that the delicate evolutionary route to a final state can be coupled to significant and intriguing adjustments in the roll pattern inside the considered fluid domain.…”
Section: Three-dimensional Simulationsmentioning
confidence: 99%
“…Relevant examples along these lines are due to Nakano et al [105] and Tomita and Abe [106] for a liquid metal and air, respectively (primitive-variable approach), and Bucchignani and Stella [107] and Stella and Bucchignani [108] for water (velocityvorticity method). More recently, Yigit et al [109] have considered Pr = 1 and Pr = 320 (yet in the framework of a primitive-variables technique). Regardless of the used numerical strategy, these efforts have highlighted that the delicate evolutionary route to a final state can be coupled to significant and intriguing adjustments in the roll pattern inside the considered fluid domain.…”
Section: Three-dimensional Simulationsmentioning
confidence: 99%
“…In this work, we aim to shed light to the following research question: can we find a subgrid-scale (SGS) heat flux model with good physical and numerical properties, such that we can obtain satisfactory predictions for buoyancy-driven turbulence at high Prandtl (Pr) numbers? This is motivated by (i) our findings showing the reasons for the lack of accuracy of existing SGS heat flux models for LES [1,2] (see Figure 1, left) and (ii) the fact that the flow topology in the nearwall region changes dramatically at high-Pr numbers [3]. Firstly, we plan to study a priori the capability of the models proposed in [2] to provide accurate approximations of the actual SGS heat flux both in the bulk and in the near-wall regions.…”
mentioning
confidence: 93%