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Title: Gas-kinetic simulation of sustained turbulence in minimal Couette flow

Abstract

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.

Authors:
 [1];  [1];  [1];  [1];  [1];  [2]
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  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Imperial College, London (United Kingdom)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1485844
Alternate Identifier(s):
OSTI ID: 1461724
Report Number(s):
SAND-2018-12692J
Journal ID: ISSN 2469-990X; 669858
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 3; Journal Issue: 7; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Gallis, Michail A., Torczynski, John R., Bitter, Neal P., Koehler, Timothy P., Plimpton, Steven J., and Papadakis, George. Gas-kinetic simulation of sustained turbulence in minimal Couette flow. United States: N. p., 2018. Web. doi:10.1103/PhysRevFluids.3.071402.
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Gallis, Michail A., Torczynski, John R., Bitter, Neal P., Koehler, Timothy P., Plimpton, Steven J., & Papadakis, George. Gas-kinetic simulation of sustained turbulence in minimal Couette flow. United States. https://doi.org/10.1103/PhysRevFluids.3.071402
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Gallis, Michail A., Torczynski, John R., Bitter, Neal P., Koehler, Timothy P., Plimpton, Steven J., and Papadakis, George. Thu . "Gas-kinetic simulation of sustained turbulence in minimal Couette flow". United States. https://doi.org/10.1103/PhysRevFluids.3.071402. https://www.osti.gov/servlets/purl/1485844.
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@article{osti_1485844,
title = {Gas-kinetic simulation of sustained turbulence in minimal Couette flow},
author = {Gallis, Michail A. and Torczynski, John R. and Bitter, Neal P. and Koehler, Timothy P. and Plimpton, Steven J. and Papadakis, George},
abstractNote = {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.},
doi = {10.1103/PhysRevFluids.3.071402},
journal = {Physical Review Fluids},
number = 7,
volume = 3,
place = {United States},
year = {Thu Jul 26 00:00:00 EDT 2018},
month = {Thu Jul 26 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevFluids.3.071402
Copyright Statement
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Citation Metrics:
Cited by: 7 works
Citation information provided by
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Figures / Tables:

Figure 1 Figure 1: Minimal Couette Flow (MCF) physical domain.
All figures and tables (5 total)
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Works referenced in this record:

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Direct simulation Monte Carlo investigation of the Rayleigh-Taylor instability
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    Works referencing / citing this record:

    On the basic concepts of the direct simulation Monte Carlo method
    journal, June 2019

    Direct simulation Monte Carlo on petaflop supercomputers and beyond
    journal, August 2019

    • Plimpton, S. J.; Moore, S. G.; Borner, A.
    • Physics of Fluids, Vol. 31, Issue 8
    • DOI: 10.1063/1.5108534
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      Figures / Tables found in this record:

      Figure 1 (p. 5)figure
      Figure 2 (p. 9)figure
      Figure 3 (p. 11)figure
      Figure 4 (p. 11)figure
      Figure 5 (p. 12)figure
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