# 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:

- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- 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.
```

```
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. doi:10.1103/PhysRevFluids.3.071402.
```

```
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. doi:10.1103/PhysRevFluids.3.071402. https://www.osti.gov/servlets/purl/1485844.
```

```
@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 = {2018},

month = {7}

}

*Citation information provided by*

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Web of Science

#### Figures / Tables:

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Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*