A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods

Krishnamoorthy, Gautham

doi:10.1016/j.applthermaleng.2017.03.055

Title: A computationally efficient P₁ radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods

Journal Article · Tue Mar 14 00:00:00 EDT 2017 · Applied Thermal Engineering

DOI:https://doi.org/10.1016/j.applthermaleng.2017.03.055· OSTI ID:1533557

Krishnamoorthy, Gautham ^[1]

University of North Dakota, Grand Forks, ND (United States)

The iterative convergence of the P₁ radiation model can be slow in optically thin scenarios when employing classical iterative methods. In order to remedy this shortcoming, an in-house P₁ radiation model was interfaced with high performance, scalable, linear solver libraries. Next, the accuracies of P₁ radiation model calculations was assessed by comparing its predictions against discrete ordinates (DO) model calculations for prototypical problems representative of modern combustion systems. Corresponding benchmark results were also included for comparison. Utilizing Pre-Conditioners (PC) to the Conjugate Gradients (CG) method, the convergence time of the P₁ radiation model reduced by a factor of 30 for modest problem sizes and a factor of 70 for larger sized problems when compared against classical Gauss Seidel sweeps. Additionally, PC provided 50% computational savings compared to employing CG in a standalone mode. The P₁ model calculation times were about 25–30% of the DO model calculation time. The time to solution also scaled linearly with an increase in problem size. The weighted sum of gray gases model employed in this study in conjunction with the P₁ model provided good agreement against benchmark data with L₂ error norms (defined relative to corresponding DO calculations) improving when isotropic intensities were prevalent.

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Research Organization:: Univ. of North Dakota, Grand Forks, ND (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE)

Grant/Contract Number:: FE0026191

OSTI ID:: 1533557

Alternate ID(s):: OSTI ID: 1416641

Journal Information:: Applied Thermal Engineering, Vol. 119, Issue C; ISSN 1359-4311

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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References (45)

Large Eddy Simulation of a 100 kWth swirling oxy-coal furnace Franchetti, B. M.; Cavallo Marincola, F.; Navarro-Martinez, S. Fuel, Vol. 181 https://doi.org/10.1016/j.fuel.2016.05.015	journal	October 2016
LES modelling of air and oxy-fuel pulverised coal combustion—impact on flame properties Edge, P.; Gubba, S. R.; Ma, L. Proceedings of the Combustion Institute, Vol. 33, Issue 2 https://doi.org/10.1016/j.proci.2010.07.063	journal	January 2011
Ignition of co-axial turbulent diffusion oxy-coal jet flames: Experiments and simulations collaboration Pedel, Julien; Thornock, Jeremy N.; Smith, Philip J. Combustion and Flame, Vol. 160, Issue 6 https://doi.org/10.1016/j.combustflame.2013.01.022	journal	June 2013
Numerical simulation of oxy-fuel jet flames using unstructured LES–CMC Garmory, A.; Mastorakos, E. Proceedings of the Combustion Institute, Vol. 35, Issue 2 https://doi.org/10.1016/j.proci.2014.05.032	journal	January 2015
The P-1 model for thermal radiation transfer: advantages and limitations Sazhin, S. S.; Sazhina, E. M.; Faltsi-Saravelou, O. Fuel, Vol. 75, Issue 3 https://doi.org/10.1016/0016-2361(95)00269-3	journal	February 1996
Evaluation of solution methods for radiative heat transfer in gaseous oxy-fuel combustion environments Porter, R.; Liu, F.; Pourkashanian, M. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 111, Issue 14 https://doi.org/10.1016/j.jqsrt.2010.04.028	journal	September 2010
A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods Li, Genong; Modest, Michael F. Journal of Heat Transfer, Vol. 124, Issue 3 https://doi.org/10.1115/1.1423318	journal	May 2002
The Efficient Iterative Solution of the P1 Equation Hassanzadeh, P.; Raithby, G. D. Journal of Heat Transfer, Vol. 131, Issue 1 https://doi.org/10.1115/1.2993546	journal	October 2008
Incomplete factorization-based preconditionings for solving the Helmholtz equation Magolu Monga Made, Mardoch�e International Journal for Numerical Methods in Engineering, Vol. 50, Issue 5 https://doi.org/10.1002/1097-0207(20010220)50:5<1077::AID-NME65>3.0.CO;2-P	journal	January 2001
Advances in Iterative Methods and Preconditioners for the Helmholtz Equation Erlangga, Yogi A. Archives of Computational Methods in Engineering, Vol. 15, Issue 1 https://doi.org/10.1007/s11831-007-9013-7	journal	December 2007
CO2 capture using oxygen enhanced combustion strategies for natural gas power plants Tan, Yewen; Douglas, Mark A.; Thambimuthu, Kelly V. Fuel, Vol. 81, Issue 8 https://doi.org/10.1016/S0016-2361(02)00014-5	journal	May 2002
Oxyfuel combustion for CO2 capture in power plants Stanger, Rohan; Wall, Terry; Spörl, Reinhold International Journal of Greenhouse Gas Control, Vol. 40 https://doi.org/10.1016/j.ijggc.2015.06.010	journal	September 2015
A parametric study of radiative heat transfer in pulverised coal furnaces Marakis, J. G.; Papapavlou, C.; Kakaras, E. International Journal of Heat and Mass Transfer, Vol. 43, Issue 16 https://doi.org/10.1016/S0017-9310(99)00347-6	journal	August 2000
An overview on oxyfuel coal combustion—State of the art research and technology development Wall, Terry; Liu, Yinghui; Spero, Chris Chemical Engineering Research and Design, Vol. 87, Issue 8 https://doi.org/10.1016/j.cherd.2009.02.005	journal	August 2009
Process design and performance analysis of a Staged, Pressurized Oxy-Combustion (SPOC) power plant for carbon capture Gopan, Akshay; Kumfer, Benjamin M.; Phillips, Jeffrey Applied Energy, Vol. 125 https://doi.org/10.1016/j.apenergy.2014.03.032	journal	July 2014
A comprehensive evaluation of different radiation models in a gas turbine combustor under conditions of oxy-fuel combustion with dry recycle Kez, V.; Liu, F.; Consalvi, J. L. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 172 https://doi.org/10.1016/j.jqsrt.2015.11.002	journal	March 2016
Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions Cai, Jian; Marquez, Ricardo; Modest, Michael F. Journal of Heat Transfer, Vol. 136, Issue 11 https://doi.org/10.1115/1.4026169	journal	September 2014
Analysis of Radiation Modeling for Turbulent Combustion: Development of a Methodology to Couple Turbulent Combustion and Radiative Heat Transfer in LES Poitou, Damien; El Hafi, Mouna; Cuenot, Bénédicte Journal of Heat Transfer, Vol. 133, Issue 6 https://doi.org/10.1115/1.4003552	journal	March 2011
A Comparison of Angular Discretization Strategies for Modeling Radiative Transfer in Pool Fire Simulations Krishnamoorthy, Gautham Heat Transfer Engineering, Vol. 33, Issue 12 https://doi.org/10.1080/01457632.2012.659626	journal	September 2012
Models for gaseous radiative heat transfer applied to oxy-fuel conditions in boilers Johansson, Robert; Andersson, Klas; Leckner, Bo International Journal of Heat and Mass Transfer, Vol. 53, Issue 1-3 https://doi.org/10.1016/j.ijheatmasstransfer.2009.09.039	journal	January 2010
New Weighted Sum of Gray Gases Model Applicable to Computational Fluid Dynamics (CFD) Modeling of Oxy−Fuel Combustion: Derivation, Validation, and Implementation Yin, Chungen; Johansen, Lars C. R.; Rosendahl, Lasse A. Energy & Fuels, Vol. 24, Issue 12 https://doi.org/10.1021/ef101211p	journal	December 2010
Account for variations in the H2O to CO2 molar ratio when modelling gaseous radiative heat transfer with the weighted-sum-of-grey-gases model Johansson, Robert; Leckner, Bo; Andersson, Klas Combustion and Flame, Vol. 158, Issue 5 https://doi.org/10.1016/j.combustflame.2011.02.001	journal	May 2011
New correlations for the weighted-sum-of-gray-gases model in oxy-fuel conditions based on HITEMP 2010 database Kangwanpongpan, Tanin; França, Francis H. R.; Corrêa da Silva, Rodrigo International Journal of Heat and Mass Transfer, Vol. 55, Issue 25-26 https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.032	journal	December 2012
A new weighted-sum-of-gray-gases model for oxy-combustion scenarios: A new model for oxy-combustion scenarios Krishnamoorthy, Gautham International Journal of Energy Research, Vol. 37, Issue 14 https://doi.org/10.1002/er.2988	journal	December 2012
A line by line based weighted sum of gray gases model for inhomogeneous CO2–H2O mixture in oxy-fired combustion Bordbar, Mohammad Hadi; Węcel, Gabriel; Hyppänen, Timo Combustion and Flame, Vol. 161, Issue 9 https://doi.org/10.1016/j.combustflame.2014.03.013	journal	September 2014
Evaluation of emissivity correlations for H2O-CO 2-N 2/air mixtures and coupling with solution methods of the radiative transfer equation Lallemant, N.; Sayre, A.; Weber, R. Progress in Energy and Combustion Science, Vol. 22, Issue 6 https://doi.org/10.1016/S0360-1285(96)00010-X	journal	January 1996
Validation of spectral gas radiation models under oxyfuel conditions. Part A: Gas cell experiments Becher, Valentin; Clausen, Sonnik; Fateev, Alexander International Journal of Greenhouse Gas Control, Vol. 5 https://doi.org/10.1016/j.ijggc.2011.05.005	journal	July 2011
Validation of spectral gas radiation models under oxyfuel conditions – Part C: Validation of simplified models Becher, Valentin; Goanta, Adrian; Spliethoff, Hartmut International Journal of Greenhouse Gas Control, Vol. 11 https://doi.org/10.1016/j.ijggc.2012.07.011	journal	November 2012
Predicting Radiative Heat Transfer in Oxy-Methane Flame Simulations: An Examination of Its Sensitivities to Chemistry and Radiative Property Models Abdul-Sater, Hassan; Krishnamoorthy, Gautham; Ditaranto, Mario Journal of Combustion, Vol. 2015 https://doi.org/10.1155/2015/439520	journal	January 2015
Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models Chu, Huaqiang; Liu, Fengshan; Zhou, Huaichun International Journal of Heat and Mass Transfer, Vol. 54, Issue 21-22 https://doi.org/10.1016/j.ijheatmasstransfer.2011.06.002	journal	October 2011
Calculations of gas radiation heat transfer in a two-dimensional rectangular enclosure using the line-by-line approach and the statistical narrow-band correlated-k model Chu, Huaqiang; Liu, Fengshan; Zhou, Huaichun International Journal of Thermal Sciences, Vol. 59 https://doi.org/10.1016/j.ijthermalsci.2012.04.003	journal	September 2012
The Spectral-Line Weighted-Sum-of-Gray-Gases Model for H2O/CO2 Mixtures Denison, M. K.; Webb, B. W. Journal of Heat Transfer, Vol. 117, Issue 3 https://doi.org/10.1115/1.2822652	journal	August 1995
Efficient representation of the absorption line blackbody distribution function for H2O, CO2, and CO at variable temperature, mole fraction, and total pressure Pearson, John T.; Webb, Brent W.; Solovjov, Vladimir P. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 138 https://doi.org/10.1016/j.jqsrt.2014.01.019	journal	May 2014
The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures Modest, Michael F.; Zhang, Hongmei Journal of Heat Transfer, Vol. 124, Issue 1 https://doi.org/10.1115/1.1418697	journal	June 2001
A full-spectrum k-distribution look-up table for radiative transfer in nonhomogeneous gaseous media Wang, Chaojun; Ge, Wenjun; Modest, Michael F. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 168 https://doi.org/10.1016/j.jqsrt.2015.08.017	journal	January 2016
The TN Quadrature Set for the Discrete Ordinates Method Thurgood, C. P.; Pollard, A.; Becker, H. A. Journal of Heat Transfer, Vol. 117, Issue 4 https://doi.org/10.1115/1.2836285	journal	November 1995
Parallel Computations of Radiative heat Transfer Using the Discrete Ordinates Method Krishnamoorthy, Gautham; Rawat, Rajesh; Smith, Philip J. Numerical Heat Transfer, Part B: Fundamentals, Vol. 47, Issue 1 https://doi.org/10.1080/10407790490487451	journal	December 2004
Spatial Domain-Based Parallelism in Large-Scale, Participating-Media, Radiative Transport Applications Burns, Shawn P.; Christen, Mark A. Numerical Heat Transfer, Part B: Fundamentals, Vol. 31, Issue 4 https://doi.org/10.1080/10407799708915117	journal	June 1997
Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical Narrow-Band Model Liu, F. Journal of Heat Transfer, Vol. 121, Issue 1 https://doi.org/10.1115/1.2825944	journal	February 1999
Methods of conjugate gradients for solving linear systems Hestenes, M. R.; Stiefel, E. Journal of Research of the National Bureau of Standards, Vol. 49, Issue 6 https://doi.org/10.6028/jres.049.044	journal	December 1952
Evaluation of Coefficients for the Weighted Sum of Gray Gases Model Smith, T. F.; Shen, Z. F.; Friedman, J. N. Journal of Heat Transfer, Vol. 104, Issue 4 https://doi.org/10.1115/1.3245174	journal	November 1982
Biomass enables the transition to a carbon-negative power system across western North America Sanchez, Daniel L.; Nelson, James H.; Johnston, Josiah Nature Climate Change, Vol. 5, Issue 3 https://doi.org/10.1038/nclimate2488	journal	February 2015
Assessing the Role of Particles in Radiative Heat Transfer during Oxy-Combustion of Coal and Biomass Blends Krishnamoorthy, Gautham; Wolf, Caitlyn Journal of Combustion, Vol. 2015 https://doi.org/10.1155/2015/793683	journal	January 2015
SLW modeling of radiative transfer in multicomponent gas mixtures Solovjov, Vladimir P.; Webb, Brent W. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, Issue 4 https://doi.org/10.1016/S0022-4073(99)00133-8	journal	May 2000
Full spectrum k-distribution correlations for CO2 from the CDSD-1000 spectroscopic databank Modest, Michael F.; Mehta, Ranjan S. International Journal of Heat and Mass Transfer, Vol. 47, Issue 10-11 https://doi.org/10.1016/j.ijheatmasstransfer.2003.11.028	journal	May 2004

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Title: A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods

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Title: A computationally efficient P₁ radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods