Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session L42: Turbulence: Theory I
8:00 AM–10:36 AM,
Monday, November 20, 2023
Room: 207A
Chair: Sharath Girimaji, Texas A&M University
Abstract: L42.00003 : Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow*
8:26 AM–8:39 AM
Presenter:
Luminita Danaila
(Université de Rouen)
Authors:
Luminita Danaila
(Université de Rouen)
Zhentong Zhang
(University of Rouen Normandy, France)
Emmanuel Lévêque
(Ecole Centrale de Lyon, CNRS, France)
Ionut Danaila
(University of Rouen Normandy, France)
Budget equations are assessed through Direct Numerical Simulations of the HVBK flow based on accurate pseudo-spectral methods. Values from 0.1 to 10 are considered for the ratio of the normal and superfluid densities. We analyze the importance of each term in budget equations and emphasize their role in energy exchange between normal and superfluid components.
Some interesting features are observed: i) transport and pressure-related terms are dominant, similar to single-fluid turbulence; ii) the mathematical signature of the FRN (finite Reynolds number) effect is weak in the transport of the third-order moment, despite the low value of the Reynolds number; iii) for very low temperatures, the normal fluid behaves as a fluid of vanishing viscosity, since the mutual friction annihilates the effects of viscosity. We also derive an equation for the velocity flatness F for small scales. We show that the F of both the normal fluid and superfluid gradually increases when temperature decreases, thus corroborating the picture of the locking between the two fluids.
*Support from the French ANR grant ANR-18-CE46-0013 QUTE-HPC and from CRIANN (Centre Régional Informatique et d'Applications Numériques de Normandie) is gratefully acknowledged.
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