Subgrid-scale effects in compressible variable-density decaying turbulence

GS, Sidharth; Candler, Graham V.

doi:10.1017/jfm.2018.281

Title: Subgrid-scale effects in compressible variable-density decaying turbulence

Journal Article · Tue May 08 00:00:00 EDT 2018 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2018.281· OSTI ID:1436961

^[1]; Candler, Graham V. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States). Aerospace Engineering and Mechanics

We present that many turbulent flows are characterized by complex scale interactions and vorticity generation caused by compressibility and variable-density effects. In the large-eddy simulation of variable-density flows, these processes manifest themselves as subgrid-scale (SGS) terms that interact with the resolved-scale flow. This paper studies the effect of the variable-density SGS terms and quantifies their relative importance. We consider the SGS terms appearing in the density-weighted Favre-filtered equations and in the unweighted Reynolds-filtered equations. The conventional form of the Reynolds-filtered momentum equation is complicated by a temporal SGS term; therefore, we derive a new form of the Reynolds-filtered governing equations that does not contain this term and has only double-correlation SGS terms. The new form of the filtered equations has terms that represent the SGS mass flux, pressure-gradient acceleration and velocity-dilatation correlation. To evaluate the dynamical significance of the variable-density SGS effects, we carry out direct numerical simulations of compressible decaying turbulence at a turbulent Mach number of 0.3. Two different initial thermodynamic conditions are investigated: homentropic and a thermally inhomogeneous gas with regions of differing densities. The simulated flow fields are explicitly filtered to evaluate the SGS terms. The importance of the variable-density SGS terms is quantified relative to the SGS specific stress, which is the only SGS term active in incompressible constant-density turbulence. It is found that while the variable-density SGS terms in the homentropic case are negligible, they are dynamically significant in the thermally inhomogeneous flows. Investigation of the variable-density SGS terms is therefore important, not only to develop variable-density closures but also to improve the understanding of scale interactions in variable-density flows.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); US Air Force Office of Scientific Research (AFOSR)

Grant/Contract Number:: NA0002382; FA9550-12-1-0461; FA9550-17-1-0250

OSTI ID:: 1436961

Journal Information:: Journal of Fluid Mechanics, Vol. 846; ISSN 0022-1120

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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