Gas-kinetic simulation of sustained turbulence in minimal Couette flow

Gallis, Michail A.; Torczynski, John R.; Bitter, Neal P.; Koehler, Timothy P.; Plimpton, Steven J.; Papadakis, George

doi:10.1103/PhysRevFluids.3.071402

Gas-kinetic simulation of sustained turbulence in minimal Couette flow

Journal Article · Thu Jul 26 00:00:00 EDT 2018 · Physical Review Fluids

DOI:https://doi.org/10.1103/PhysRevFluids.3.071402· OSTI ID:1485844

Gallis, Michail A. ^[1]; Torczynski, John R. ^[1]; Bitter, Neal P. ^[1]; Koehler, Timothy P. ^[1]; Plimpton, Steven J. ^[1]; Papadakis, George ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Imperial College, London (United Kingdom)

Here, we provide a demonstration that gas-kinetic methods incorporating molecular chaos can simulate the sustained turbulence that occurs in wall-bounded turbulent shear flows. The direct simulation Monte Carlo method, a gas-kinetic molecular method that enforces molecular chaos for gas-molecule collisions, is used to simulate the minimal Couette flow at Re = 500 . The resulting law of the wall, the average wall shear stress, the average kinetic energy, and the continually regenerating coherent structures all agree closely with corresponding results from direct numerical simulation of the Navier-Stokes equations. Finally, these results indicate that molecular chaos for collisions in gas-kinetic methods does not prevent development of molecular-scale long-range correlations required to form hydrodynamic-scale turbulent coherent structures.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1485844

Alternate ID(s):: OSTI ID: 1461724

Report Number(s):: SAND--2018-12692J; 669858

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 7 Vol. 3; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (19)

Long-range correlations in kinetic theory Sastri, Chelluri C. A. Journal of Statistical Physics, Vol. 13, Issue 1 https://doi.org/10.1007/BF01012598	journal	July 1975
A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation Wagner, Wolfgang Journal of Statistical Physics, Vol. 66, Issue 3-4 https://doi.org/10.1007/BF01055714	journal	February 1992
The minimal flow unit in near-wall turbulence Jiménez, Javier; Moin, Parviz Journal of Fluid Mechanics, Vol. 225 https://doi.org/10.1017/S0022112091002033	journal	April 1991
Regeneration mechanisms of near-wall turbulence structures Hamilton, James M.; Kim, John; Waleffe, Fabian Journal of Fluid Mechanics, Vol. 287 https://doi.org/10.1017/S0022112095000978	journal	March 1995
Direct Simulation and the Boltzmann Equation Bird, G. A. Physics of Fluids, Vol. 13, Issue 11 https://doi.org/10.1063/1.1692849	journal	January 1970
Approach to the origin of turbulence on the basis of two-point kinetic theory Tsugé, Shunichi Physics of Fluids, Vol. 17, Issue 1 https://doi.org/10.1063/1.1694592	journal	January 1974
Studies in Molecular Dynamics. I. General Method Alder, B. J.; Wainwright, T. E. The Journal of Chemical Physics, Vol. 31, Issue 2 https://doi.org/10.1063/1.1730376	journal	August 1959
On Molecular Chaos and the Kirkwood Superposition Hypothesis Grad, Harold The Journal of Chemical Physics, Vol. 33, Issue 5 https://doi.org/10.1063/1.1731410	journal	November 1960
Normal solutions of the Boltzmann equation for highly nonequilibrium Fourier flow and Couette flow Gallis, M. A.; Torczynski, J. R.; Rader, D. J. Physics of Fluids, Vol. 18, Issue 1 https://doi.org/10.1063/1.2166449	journal	January 2006
Direct simulation Monte Carlo convergence behavior of the hard-sphere-gas thermal conductivity for Fourier heat flow Rader, D. J.; Gallis, M. A.; Torczynski, J. R. Physics of Fluids, Vol. 18, Issue 7 https://doi.org/10.1063/1.2213640	journal	July 2006
Direct simulation Monte Carlo investigation of the Richtmyer-Meshkov instability Gallis, M. A.; Koehler, T. P.; Torczynski, J. R. Physics of Fluids, Vol. 27, Issue 8 https://doi.org/10.1063/1.4928338	journal	August 2015
A molecular dynamics simulation of the turbulent Couette minimal flow unit Smith, E. R. Physics of Fluids, Vol. 27, Issue 11 https://doi.org/10.1063/1.4935213	journal	November 2015
Kinetic theory of turbulent compressible flows and comparison with classical theory Tsugé, Shunichi; Sagara, Kenshi Physics of Fluids, Vol. 19, Issue 10 https://doi.org/10.1063/1.861350	journal	January 1976
On a self-sustaining process in shear flows Waleffe, Fabian Physics of Fluids, Vol. 9, Issue 4 https://doi.org/10.1063/1.869185	journal	April 1997
Molecular gas dynamics observations of Chapman-Enskog behavior and departures therefrom in nonequilibrium gases Gallis, M. A.; Torczynski, J. R.; Rader, D. J. Physical Review E, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevE.69.042201	journal	April 2004
Direct simulation Monte Carlo investigation of the Rayleigh-Taylor instability Gallis, M. A.; Koehler, T. P.; Torczynski, J. R. Physical Review Fluids, Vol. 1, Issue 4 https://doi.org/10.1103/PhysRevFluids.1.043403	journal	August 2016
Molecular-Level Simulations of Turbulence and Its Decay Gallis, M. A.; Bitter, N. P.; Koehler, T. P. Physical Review Letters, Vol. 118, Issue 6 https://doi.org/10.1103/PhysRevLett.118.064501	journal	February 2017
Boltzmann Kinetic Equation for Filtered Fluid Turbulence Girimaji, Sharath S. Physical Review Letters, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevLett.99.034501	journal	July 2007
Turbulence in Supersonic Flow Kovasznay, Leslie S. G. Journal of the Aeronautical Sciences, Vol. 20, Issue 10 https://doi.org/10.2514/8.2793	journal	October 1953

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