Discrete Ordinates and Monte Carlo Methods for Radiative Transfer Simulation Applied to Computational Fluid Dynamics Combustion Modeling

Modeling radiative heat transfer in combustion applications involving complex geometries and detailed spectral properties of radiative gaseous species remains a difficult challenge, especially when full coupling with detailed chemistry and fluid dynamics is required. The Monte Carlo method (MCM) usually considered as a reference ``exact'' method for the computation of radiative transfer is however very demanding in CPU-time. An alternative is the discrete ordinates method (DOM), based on a finite volume approach, that is more suitable for a direct coupling with computational fluid dynamics but may lack accuracy. The aim of the present paper is to propose and demonstrate the efficiency of a methodology for radiative transfer calculation, combining the advantages of both MCM and DOM. In this approach, the fast DOM is used to compute the radiative solution, and its accuracy is controlled by comparison with the exact MCM solution at a selected controlling points. A first application of the proposed methodology to an industrial burner prototype shows its validity and potential for the direct coupling of radiation calculations with unsteady reacting flow computations.

[1]  T. Poinsot,et al.  Studies of mean and unsteady flow in a swirled combustor using experiments, acoustic analysis, and large eddy simulations , 2005 .

[2]  Ömer L. Gülder,et al.  Application of the statistical narrow-band correlated-k method to non-grey gas radiation in CO , 2001 .

[3]  L. Tessé,et al.  Monte Carlo modeling of radiative transfer in a turbulent sooty flame , 2004 .

[4]  M. El Hafi,et al.  Monte Carlo method and sensitivity estimations , 2002 .

[5]  A net-exchange Monte Carlo approach to radiation in optically thick systems , 2002 .

[6]  A. de Latailladea,et al.  Monte Carlo method and sensitivity estimations , 2002 .

[7]  Ö. Gülder,et al.  Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculations — effects of the quadrature scheme , 2000 .

[8]  Yen-Sen Chen,et al.  Development of an unstructured radiation model applicable for two-dimensional planar, axisymmetric, and three-dimensional geometries , 1999 .

[9]  Bénédicte Cuenot,et al.  Comparison of three spatial differencing schemes in discrete ordinates method using three-dimensional unstructured meshes , 2005 .

[10]  Fengshan Liu,et al.  Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical , 1999 .

[11]  F. Lockwood,et al.  A new radiation solution method for incorporation in general combustion prediction procedures , 1981 .

[12]  Alan A. Wray,et al.  On various modeling approaches to radiative heat transfer in pool fires , 2007 .

[13]  Richard Fournier,et al.  INVERSE GAUSSIAN k-DISTRIBUTIONS , 1999 .

[14]  D. Joseph.  Modélisation des transferts radiatifs en combustion par méthode aux ordonnées discrètes sur des maillages non structurés tridimensionnels , 2004 .

[15]  P. J. Coelho,et al.  BENCHMARK NUMERICAL SOLUTIONS FOR RADIATIVE HEAT TRANSFER IN TWO-DIMENSIONAL AXISYMMETRIC ENCLOSURES WITH NONGRAY SOOTING MEDIA , 2003 .

[16]  P. J. Coelho,et al.  ACCURATE SOLUTIONS FOR RADIATIVE HEAT TRANSFER IN TWO-DIMENSIONAL AXISYMMETRIC ENCLOSURES WITH GAS RADIATION AND REFLECTIVE SURFACES , 2004 .

[17]  Sébastien Ducruix,et al.  Coupled large eddy simulations of turbulent combustion and radiative heat transfer , 2008 .

[18]  Anouar Soufiani,et al.  High temperature gas radiative property parameters of statistical narrow-band model for H2O, CO2 and CO, and correlated-K model for H2O and CO2 , 1997 .

[19]  Denis Veynante,et al.  LES of Chemical and Acoustic Forcing of a Premixed Dump Combustor , 2000 .

[20]  J. Dufresne,et al.  Monte Carlo Simulation of Radiation in Gases With a Narrow-Band Model and a Net-Exchange Formulation , 1996 .

[21]  Division of radiative streams into internal transfer and cooling to space , 1967 .

[22]  S. Blanco,et al.  Monte carlo estimates of domain-deformation sensitivities. , 2005, Physical review letters.

[23]  A. D. Latailladea,et al.  A net-exchange Monte Carlo approach to radiation in optically thick systems , 2002 .

[24]  Roman Weber,et al.  Radiation in Enclosures , 2000 .

[25]  F. Dryer,et al.  Physical and chemical aspects of combustion : a tribute to Irvin Glassman , 1997 .

[26]  F. Ducros,et al.  A thickened flame model for large eddy simulations of turbulent premixed combustion , 2000 .

[27]  R. Koch,et al.  Compressible large eddy simulation of turbulent combustion in complex geometry on unstructured meshes , 2004 .

[28]  Rainer Koch,et al.  Evaluation of quadrature schemes for the discrete ordinates method , 2004 .

[29]  Alexei V. Saveliev,et al.  Soot and NO formation in methane-oxygen enriched diffusion flames , 2001 .

[30]  K. Hein,et al.  A MEAN FLUX DISCRETE ORDINATES INTERPOLATION SCHEME FOR GENERAL CO-ORDINATES , 2001 .