Inviscid criterion for decomposing scales
Abstract
The proper scale decomposition in flows with significant density variations is not as straightforward as in incompressible flows, with many possible ways to define a “length scale.” A choice can be made according to the so-called inviscid criterion [Aluie, Physica D 24, 54 (2013)]. It is a kinematic requirement that a scale decomposition yield negligible viscous effects at large enough length scales. It has been proved [Aluie, Physica D 24, 54 (2013)] recently that a Favre decomposition satisfies the inviscid criterion, which is necessary to unravel inertial-range dynamics and the cascade. We present numerical demonstrations of those results. We also show that two other commonly used decompositions can violate the inviscid criterion and, therefore, are not suitable to study inertial-range dynamics in variable-density and compressible turbulence. Our results have practical modeling implication in showing that viscous terms in Large Eddy Simulations do not need to be modeled and can be neglected.
- Authors:
-
- Univ. of Rochester, NY (United States). Lab. for Laser Energetics and Dept. of Mechanical Engineering
- Publication Date:
- Research Org.:
- Univ. of Rochester, NY (United States). Lab. for Laser Energetics
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Science Foundation (NSF)
- Contributing Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- OSTI Identifier:
- 1464738
- Alternate Identifier(s):
- OSTI ID: 1436001
- Grant/Contract Number:
- NA0001944; SC0014318; OCE-1259794; 20150568ER; AC02-06CH11357; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Fluids
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 5; Journal ID: ISSN 2469-990X
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; compressible turbulence; mixing; Rayleigh-Taylor instability; shock waves
Citation Formats
Zhao, Dongxiao, and Aluie, Hussein. Inviscid criterion for decomposing scales. United States: N. p., 2018.
Web. doi:10.1103/PhysRevFluids.3.054603.
Zhao, Dongxiao, & Aluie, Hussein. Inviscid criterion for decomposing scales. United States. https://doi.org/10.1103/PhysRevFluids.3.054603
Zhao, Dongxiao, and Aluie, Hussein. Fri .
"Inviscid criterion for decomposing scales". United States. https://doi.org/10.1103/PhysRevFluids.3.054603. https://www.osti.gov/servlets/purl/1464738.
@article{osti_1464738,
title = {Inviscid criterion for decomposing scales},
author = {Zhao, Dongxiao and Aluie, Hussein},
abstractNote = {The proper scale decomposition in flows with significant density variations is not as straightforward as in incompressible flows, with many possible ways to define a “length scale.” A choice can be made according to the so-called inviscid criterion [Aluie, Physica D 24, 54 (2013)]. It is a kinematic requirement that a scale decomposition yield negligible viscous effects at large enough length scales. It has been proved [Aluie, Physica D 24, 54 (2013)] recently that a Favre decomposition satisfies the inviscid criterion, which is necessary to unravel inertial-range dynamics and the cascade. We present numerical demonstrations of those results. We also show that two other commonly used decompositions can violate the inviscid criterion and, therefore, are not suitable to study inertial-range dynamics in variable-density and compressible turbulence. Our results have practical modeling implication in showing that viscous terms in Large Eddy Simulations do not need to be modeled and can be neglected.},
doi = {10.1103/PhysRevFluids.3.054603},
journal = {Physical Review Fluids},
number = 5,
volume = 3,
place = {United States},
year = {Fri May 04 00:00:00 EDT 2018},
month = {Fri May 04 00:00:00 EDT 2018}
}
Web of Science
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