Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow
Abstract
We report this work extends the framework of the partially averaged Navier-Stokes (PANS) equations to variable-density flow, i.e., multimaterial and/or compressible mixing problems with density variations and production of turbulence kinetic energy by both shear and buoyancy mechanisms. The proposed methodology is utilized to derive the PANS BHR-LEVM closure. This includes a priori testing to analyze and develop guidelines toward the efficient selection of the parameters controlling the physical resolution and, consequently, the range of resolved scales of PANS. Two archetypal test-cases involving transient turbulence, hydrodynamic instabilities, and coherent structures are used to illustrate the accuracy and potential of the method: the Taylor-Green vortex at Reynolds number Re = 3000, and the Rayleigh-Taylor flow at Atwood number 0.5 and (Re) max ≈ 500. These representative problems, for which turbulence is generated by shear and buoyancy processes, constitute the initial validation space of the new model, and their results are comprehensively discussed in two subsequent studies. The computations indicate that PANS can accurately predict the selected flow problems, resolving only a fraction of the scales of large-eddy simulation and direct numerical simulation strategies. The results also reiterate that the physical resolution of the PANS model must guarantee that the key instabilitiesmore »
- Authors:
-
[1];
[1];
[1];
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Texas A & M Univ., College Station, TX (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1873354
- Report Number(s):
- LA-UR-21-21895
Journal ID: ISSN 2469-990X; TRN: US2307007
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Fluids (Online)
- Additional Journal Information:
- Journal Name: Physical Review Fluids (Online); Journal Volume: 6; Journal Issue: 8; 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; turbulence modeling; pans; variable-density turbulence; RT; TGV
Citation Formats
Soares Pereira, Filipe Miguel, Grinstein, Fernando, Israel, Daniel M., Rauenzahn, Rick Meier, and Girimaji, Sharath. Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow. United States: N. p., 2021.
Web. doi:10.1103/physrevfluids.6.084602.
Soares Pereira, Filipe Miguel, Grinstein, Fernando, Israel, Daniel M., Rauenzahn, Rick Meier, & Girimaji, Sharath. Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow. United States. https://doi.org/10.1103/physrevfluids.6.084602
Soares Pereira, Filipe Miguel, Grinstein, Fernando, Israel, Daniel M., Rauenzahn, Rick Meier, and Girimaji, Sharath. Fri .
"Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow". United States. https://doi.org/10.1103/physrevfluids.6.084602. https://www.osti.gov/servlets/purl/1873354.
@article{osti_1873354,
title = {Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow},
author = {Soares Pereira, Filipe Miguel and Grinstein, Fernando and Israel, Daniel M. and Rauenzahn, Rick Meier and Girimaji, Sharath},
abstractNote = {We report this work extends the framework of the partially averaged Navier-Stokes (PANS) equations to variable-density flow, i.e., multimaterial and/or compressible mixing problems with density variations and production of turbulence kinetic energy by both shear and buoyancy mechanisms. The proposed methodology is utilized to derive the PANS BHR-LEVM closure. This includes a priori testing to analyze and develop guidelines toward the efficient selection of the parameters controlling the physical resolution and, consequently, the range of resolved scales of PANS. Two archetypal test-cases involving transient turbulence, hydrodynamic instabilities, and coherent structures are used to illustrate the accuracy and potential of the method: the Taylor-Green vortex at Reynolds number Re = 3000, and the Rayleigh-Taylor flow at Atwood number 0.5 and (Re) max ≈ 500. These representative problems, for which turbulence is generated by shear and buoyancy processes, constitute the initial validation space of the new model, and their results are comprehensively discussed in two subsequent studies. The computations indicate that PANS can accurately predict the selected flow problems, resolving only a fraction of the scales of large-eddy simulation and direct numerical simulation strategies. The results also reiterate that the physical resolution of the PANS model must guarantee that the key instabilities and coherent structures of the flow are resolved. The remaining scales can be modeled through an adequate turbulence scale-dependent closure.},
doi = {10.1103/physrevfluids.6.084602},
journal = {Physical Review Fluids (Online)},
number = 8,
volume = 6,
place = {United States},
year = {Fri Aug 06 00:00:00 EDT 2021},
month = {Fri Aug 06 00:00:00 EDT 2021}
}
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