Self-contained filtered density function

Nouri, Arash G.; Nik, Mehdi B.; Givi, Pope; Livescu, Daniel; Pope, Stephen B.

doi:10.1103/PhysRevFluids.2.094603

Self-contained filtered density function

Journal Article · Mon Sep 18 00:00:00 EDT 2017 · Physical Review Fluids

DOI:https://doi.org/10.1103/PhysRevFluids.2.094603· OSTI ID:1407883

Nouri, Arash G. ^[1]; Nik, Mehdi B. ^[1]; Givi, Pope ^[1]; ^[2]; Pope, Stephen B. ^[3]

Univ. of Pittsburgh, PA (United States). Dept. of Mechanical Engineering and Materials Science
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)
Cornell Univ., Ithaca, NY (United States). Sibley School of Mechanical and Aerospace Engineering

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); Air Force Research Laboratory (AFRL); National Science Foundation (NSF)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1407883

Report Number(s):: LA-UR-17-22145

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 9 Vol. 2; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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