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Title: Self-contained filtered density function

Abstract

The filtered density function (FDF) closure is extended to a “self-contained” format to include the subgrid-scale (SGS) statistics of all of the hydro-thermo-chemical variables in turbulent flows. These are the thermodynamic pressure, the specific internal energy, the velocity vector, and the composition field. In this format, the model is comprehensive and facilitates large-eddy simulation (LES) of flows at both low and high compressibility levels. A transport equation is developed for the joint pressure-energy-velocity-composition filtered mass density function (PEVC-FMDF). In this equation, the effect of convection appears in closed form. The coupling of the hydrodynamics and thermochemistry is modeled via a set of stochastic differential equation for each of the transport variables. This yields a self-contained SGS closure. We demonstrated how LES is conducted of a turbulent shear flow with transport of a passive scalar. Finally, the consistency of the PEVC-FMDF formulation is established, and its overall predictive capability is appraised via comparison with direct numerical simulation (DNS) data.

Authors:
 [1];  [1];  [1]; ORCiD logo [2];  [3]
  1. Univ. of Pittsburgh, PA (United States). Dept. of Mechanical Engineering and Materials Science
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)
  3. Cornell Univ., Ithaca, NY (United States). Sibley School of Mechanical and Aerospace Engineering
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); Air Force Research Lab.; National Science Foundation (NSF)
OSTI Identifier:
1407883
Report Number(s):
LA-UR-17-22145
Journal ID: ISSN 2469-990X; TRN: US1703159
Grant/Contract Number:  
AC52-06NA25396; FA9550-12-1-0057; CBET-1603131; CBET-1609120
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 9; 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

Nouri, Arash G., Nik, Mehdi B., Givi, Pope, Livescu, Daniel, and Pope, Stephen B. Self-contained filtered density function. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.094603.
Nouri, Arash G., Nik, Mehdi B., Givi, Pope, Livescu, Daniel, & Pope, Stephen B. Self-contained filtered density function. United States. doi:10.1103/PhysRevFluids.2.094603.
Nouri, Arash G., Nik, Mehdi B., Givi, Pope, Livescu, Daniel, and Pope, Stephen B. Mon . "Self-contained filtered density function". United States. doi:10.1103/PhysRevFluids.2.094603. https://www.osti.gov/servlets/purl/1407883.
@article{osti_1407883,
title = {Self-contained filtered density function},
author = {Nouri, Arash G. and Nik, Mehdi B. and Givi, Pope and Livescu, Daniel and Pope, Stephen B.},
abstractNote = {The filtered density function (FDF) closure is extended to a “self-contained” format to include the subgrid-scale (SGS) statistics of all of the hydro-thermo-chemical variables in turbulent flows. These are the thermodynamic pressure, the specific internal energy, the velocity vector, and the composition field. In this format, the model is comprehensive and facilitates large-eddy simulation (LES) of flows at both low and high compressibility levels. A transport equation is developed for the joint pressure-energy-velocity-composition filtered mass density function (PEVC-FMDF). In this equation, the effect of convection appears in closed form. The coupling of the hydrodynamics and thermochemistry is modeled via a set of stochastic differential equation for each of the transport variables. This yields a self-contained SGS closure. We demonstrated how LES is conducted of a turbulent shear flow with transport of a passive scalar. Finally, the consistency of the PEVC-FMDF formulation is established, and its overall predictive capability is appraised via comparison with direct numerical simulation (DNS) data.},
doi = {10.1103/PhysRevFluids.2.094603},
journal = {Physical Review Fluids},
number = 9,
volume = 2,
place = {United States},
year = {2017},
month = {9}
}

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