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Title: 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:
 [1];  [1]
  1. 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) (SC-24); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). 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. doi:10.1103/PhysRevFluids.3.054603.
Zhao, Dongxiao, and Aluie, Hussein. Fri . "Inviscid criterion for decomposing scales". United States. doi: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 = {2018},
month = {5}
}

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