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Title: A Two-length Scale Turbulence Model for Single-phase Multi-fluid Mixing

Journal Article · · Flow, Turbulence and Combustion

A two-length scale, second moment turbulence model (Reynolds averaged Navier-Stokes, RANS) is proposed to capture a wide variety of single-phase flows, spanning from incompressible flows with single fluids and mixtures of different density fluids (variable density flows) to flows over shock waves. The two-length scale model was developed to address an inconsistency present in the single-length scale models, e.g. the inability to match both variable density homogeneous Rayleigh-Taylor turbulence and Rayleigh-Taylor induced turbulence, as well as the inability to match both homogeneous shear and free shear flows. The two-length scale model focuses on separating the decay and transport length scales, as the two physical processes are generally different in inhomogeneous turbulence. This allows reasonable comparisons with statistics and spreading rates over such a wide range of turbulent flows using a common set of model coefficients. The specific canonical flows considered for calibrating the model include homogeneous shear, single-phase incompressible shear driven turbulence, variable density homogeneous Rayleigh-Taylor turbulence, Rayleigh-Taylor induced turbulence, and shocked isotropic turbulence. The second moment model shows to compare reasonably well with direct numerical simulations (DNS), experiments, and theory in most cases. The model was then applied to variable density shear layer and shock tube data and shows to be in reasonable agreement with DNS and experiments. Additionally, the importance of using DNS to calibrate and assess RANS type turbulence models is highlighted.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1239104
Report Number(s):
LA-UR-14-27431; PII: 9643
Journal Information:
Flow, Turbulence and Combustion, Vol. 96, Issue 1; ISSN 1386-6184
Publisher:
European Research Community on Flow, Turbulence and Combustion (ERCOFTAC)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 69 works
Citation information provided by
Web of Science

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Large eddy simulation investigation of the canonical shock–turbulence interaction journal November 2018
A review of pressure strain correlation modeling for Reynolds stress models journal December 2019
A Fokker–Planck approach to a moment closure for mixing in variable-density turbulence journal July 2019
Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability journal September 2019
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities journal August 2019
Numerical study of variable density turbulence interaction with a normal shock wave journal September 2017
Evaluation of turbulent mixing transition in a shock-driven variable-density flow journal October 2017
The transition to turbulence in shock-driven mixing: effects of Mach number and initial conditions journal May 2019
Late-time mixing and turbulent behavior in high-energy-density shear experiments at high Atwood numbers journal May 2018