Subgrid-scale model for radiative transfer in turbulent participating media

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2013.10.006· OSTI ID:22230845

Soucasse, L.; Rivière, Ph. ^[1]

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1. CNRS, UPR 288, Laboratoire EM2C, Grande Voie des Vignes, F-92290 Châtenay-Malabry (France)

The simulation of turbulent flows of radiating gases, taking into account all turbulence length scales with an accurate radiation transport solver, is computationally prohibitive for high Reynolds or Rayleigh numbers. This is particularly the case when the small structures are not optically thin. We develop in this paper a radiative transfer subgrid model suitable for the coupling with direct numerical simulations of turbulent radiating fluid flows. Owing to the linearity of the Radiative Transfer Equation (RTE), the emission source term is spatially filtered to define large-scale and subgrid-scale radiation intensities. The large-scale or filtered intensity is computed with a standard ray tracing method on a coarse grid, and the subgrid intensity is obtained analytically (in Fourier space) from the Fourier transform of the subgrid emission source term. A huge saving of computational time is obtained in comparison with direct ray tracing applied on the fine mesh. Model accuracy is checked for three 3D fluctuating temperature fields. The first field is stochastically generated and allows us to discuss the effects of the filtering level and of the optical thicknesses of the whole medium, of the integral length scale, and of the cutoff wave length. The second and third cases correspond respectively to turbulent natural convection of humid air in a cubical box, and to the flow of hot combustion products inside a channel. In all cases, the achieved accuracy on radiative powers and wall fluxes is about a few percents.

• OSTI ID: 22230845
• Journal Information: Journal of Computational Physics, Vol. 257, Issue Part A; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AIR
COMBUSTION PRODUCTS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
FILTERS
FOURIER TRANSFORMATION
LENGTH
NATURAL CONVECTION
RADIANT HEAT TRANSFER
RADIATION TRANSPORT
REYNOLDS NUMBER
SCALE MODELS
STOCHASTIC PROCESSES
TURBULENCE
TURBULENT FLOW