Parallel Computations of Nongray Radiative Heat Transfer

ABSTRACT Nongray radiative transfer calculations are demonstrated on parallel computers by spatially decomposing the discrete ordinates method to solve the radiative transport equation (RTE). The predictions from coupling different property models with the RTE are compared against benchmarks for model problems. A validation metric is employed to quantify the agreement with the benchmarks. The weighted-sum-of-gray-gases model, and Patch mean absorption coefficients extracted from a narrow-band model (RADCAL), gave the most accurate results. However, the shortcomings of employing these two models in a combustion simulation are recognized. The robustness of the parallel algorithm is demonstrated through scaling studies.

[1]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[2]  S. Patankar,et al.  A SIMPLE APPROACH TO NON-GRAY GAS MODELING , 1996 .

[3]  Vladimir P. Solovjov,et al.  An Efficient Method for Modeling Radiative Transfer in Multicomponent Gas Mixtures With Soot , 2001 .

[4]  W. Grosshandler.  Radcal: A Narrow-Band Model for Radiation Calculations in a Combustion Environment , 2018 .

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

[6]  A. Lacis,et al.  A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres , 1991 .

[7]  E. Djavdan,et al.  A comparison between weighted sum of gray gases and statistical narrow-band radiation models for combustion applications , 1994 .

[8]  A. Soufiani,et al.  Spectral correlated and non-correlated radiative transfer in a finite axisymmetric system containing an absorbing and emitting real gasparticle mixture , 1988 .

[9]  T. F. Smith,et al.  Evaluation of Coefficients for the Weighted Sum of Gray Gases Model , 1982 .

[10]  Glenn P. Forney,et al.  Development of Combustion and Radiation Models for Large Scale Fire Simulation , 2001 .

[11]  M. Modest.  Radiative heat transfer , 1993 .

[12]  Michael F. Modest,et al.  The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures , 2002 .

[13]  Pedro J. Coelho,et al.  Numerical simulation of radiative heat transfer from non-gray gases in three-dimensional enclosures , 2002 .

[14]  Ö. Gülder,et al.  Non-grey gas radiative transfer analyses using the statistical narrow-band model☆ , 1998 .

[15]  Glenn P. Forney,et al.  Improved Radiation And Combustion Routines For A Large Eddy Simulation Fire Model , 2003 .

[16]  W. L. Oberkampf,et al.  Validation Methodology in Computational Fluid Dynamics (invited) , 2000 .

[17]  J. G. Marakis,et al.  Application of narrow and wide band models for radiative transfer in planar media , 2001 .

[18]  Gautham Krishnamoorthy,et al.  PARALLEL COMPUTATIONS OF RADIATIVE HEAT TRANSFER USING THE DISCRETE ORDINATES METHOD , 2004 .

[19]  Haeok S. Lee,et al.  Discrete ordinates solutions of nongray radiative transfer with diffusely reflecting walls , 1993 .

[20]  S. N. Tiwari,et al.  Investigation of Radiative Transfer in Nongray Gases Using a Narrow Band Model and Monte Carlo Simulation , 1994 .

[21]  N. Bressloff.  The influence of soot loading on weighted sum of grey gases solutions to the radiative transfer equation across mixtures of gases and soot , 1999 .

[22]  Christon,et al.  Spatial domain-based parallelism in large-scale, participating-media, radiative transport applications , 1997 .

[23]  Baki M. Cetegen,et al.  Experiments on the periodic instability of buoyant plumes and pool fires , 1993 .

[24]  M. Modest.  The weighted-sum-of-gray-gases model for arbitrary solution methods in radiative transfer , 1991 .

[25]  An extension of the weighted sum of gray gases non-gray gas radiation model to a two phase mixture of non-gray gas with particles , 2000 .

[26]  Akihiro Sasoh,et al.  Parallel computation of fully coupled hypersonic radiating flowfield using multiband model , 2003 .

[27]  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 .

[28]  Andrew Pollard,et al.  The TN Quadrature Set for the Discrete Ordinates Method , 1995 .

[29]  Anouar Soufiani,et al.  Gas IR Radiative Properties: From Spectroscopic Data to Approximate Models , 1999 .

[30]  R. West,et al.  THE CORRELATED-k METHOD FOR RADIATION CALCULATIONS IN NONHOMOGENEOUS ATMOSPHERES , 1989 .

[31]  J. Sacadura,et al.  An Alternative Formulation of the S-N Discrete Ordinates for Predicting Radiative Transfer in Nongray Gases , 1996 .

[32]  Kevin B. McGrattan,et al.  Numerical Modeling Of Pool Fires Using Les And Finite Volume Method For Radiation , 2003 .

[33]  M. Modest,et al.  Application of the full spectrum correlated-k distribution approach to modeling non-gray radiation in combustion gases , 2002 .

[34]  A. Soufiani,et al.  Accuracy of narrow-band and global models for radiative transfer in H2O, CO2, and H2OCO2 mixtures at high temperature , 1999 .

[35]  W. A. Fiveland,et al.  Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method , 1988 .

[36]  D. N. Trivic.  Modeling of 3-D non-gray gases radiation by coupling the finite volume method with weighted sum of gray gases model , 2004 .

[37]  Roman Weber,et al.  Evaluation of emissivity correlations for H2OCO2N2/air mixtures and coupling with solution methods of the radiative transfer equation , 1996 .

[38]  B. W. Webb,et al.  A Spectral Line-Based Weighted-Sum-of-Gray-Gases Model for Arbitrary RTE Solvers , 1993 .

[39]  Haeok S. Lee,et al.  Nongray Radiative Gas Analyses Using the S-N Discrete Ordinates Method , 1991 .

[40]  Christon,et al.  Spatial domain-based parallelism in large scale, participating-media, radiative transport applications , 1996 .

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

[42]  K. Rhee,et al.  Blackbody radiation functions , 1984 .

[43]  Timothy G. Trucano,et al.  Validation Methodology in Computational Fluid Dynamics , 2000 .