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

Abstract

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.

Authors:

Krishnamoorthy, Gautham ^[1]

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

Publication Date:: Tue Mar 14 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Fossil Energy (FE)

OSTI Identifier:: 1533557

Alternate Identifier(s):: OSTI ID: 1416641

Grant/Contract Number:: FE0026191

Resource Type:: Accepted Manuscript

Journal Name:: Applied Thermal Engineering

Additional Journal Information:: Journal Volume: 119; Journal Issue: C; Journal ID: ISSN 1359-4311

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; 42 ENGINEERING; radiative transfer; iterative methods; WSGGM; oxy-combustion; P-1 model

Citation Formats


                    Krishnamoorthy, Gautham. A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods.  United States: N. p., 2017. 
Web.  doi:10.1016/j.applthermaleng.2017.03.055.

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                    Krishnamoorthy, Gautham. A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods.  United States.  https://doi.org/10.1016/j.applthermaleng.2017.03.055

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                    Krishnamoorthy, Gautham. Tue .  
"A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods".  United States.  https://doi.org/10.1016/j.applthermaleng.2017.03.055.  https://www.osti.gov/servlets/purl/1533557.

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@article{osti_1533557,

  title        = {A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods},

  author       = {Krishnamoorthy, Gautham},

  abstractNote = {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.},

  doi          = {10.1016/j.applthermaleng.2017.03.055},

  journal      = {Applied Thermal Engineering},

  number       = C,

  volume       = 119,

  place        = {United States},

  year         = {Tue Mar 14 00:00:00 EDT 2017},

  month        = {Tue Mar 14 00:00:00 EDT 2017}

}

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Works referenced in this record:

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

Abstract

Citation Formats

Large Eddy Simulation of a 100 kWth swirling oxy-coal furnace journal, October 2016

LES modelling of air and oxy-fuel pulverised coal combustion—impact on flame properties journal, January 2011

Ignition of co-axial turbulent diffusion oxy-coal jet flames: Experiments and simulations collaboration journal, June 2013

Numerical simulation of oxy-fuel jet flames using unstructured LES–CMC journal, January 2015

The P-1 model for thermal radiation transfer: advantages and limitations journal, February 1996

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A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods journal, May 2002

The Efficient Iterative Solution of the P1 Equation journal, October 2008

Incomplete factorization-based preconditionings for solving the Helmholtz equation journal, January 2001

Advances in Iterative Methods and Preconditioners for the Helmholtz Equation journal, December 2007

CO2 capture using oxygen enhanced combustion strategies for natural gas power plants journal, May 2002

Oxyfuel combustion for CO2 capture in power plants journal, September 2015

A parametric study of radiative heat transfer in pulverised coal furnaces journal, August 2000

An overview on oxyfuel coal combustion—State of the art research and technology development journal, August 2009

Process design and performance analysis of a Staged, Pressurized Oxy-Combustion (SPOC) power plant for carbon capture journal, July 2014

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Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k-Distributions journal, September 2014

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A Comparison of Angular Discretization Strategies for Modeling Radiative Transfer in Pool Fire Simulations journal, September 2012

Models for gaseous radiative heat transfer applied to oxy-fuel conditions in boilers 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 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 journal, May 2011

New correlations for the weighted-sum-of-gray-gases model in oxy-fuel conditions based on HITEMP 2010 database journal, December 2012

A new weighted-sum-of-gray-gases model for oxy-combustion scenarios: A new model for oxy-combustion scenarios journal, December 2012

A line by line based weighted sum of gray gases model for inhomogeneous CO2–H2O mixture in oxy-fired combustion 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 journal, January 1996

Validation of spectral gas radiation models under oxyfuel conditions. Part A: Gas cell experiments journal, July 2011

Validation of spectral gas radiation models under oxyfuel conditions – Part C: Validation of simplified models journal, November 2012

Predicting Radiative Heat Transfer in Oxy-Methane Flame Simulations: An Examination of Its Sensitivities to Chemistry and Radiative Property Models journal, January 2015

Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models 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 journal, September 2012

The Spectral-Line Weighted-Sum-of-Gray-Gases Model for H2O/CO2 Mixtures 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 journal, May 2014

The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures journal, June 2001

A full-spectrum k-distribution look-up table for radiative transfer in nonhomogeneous gaseous media journal, January 2016

The TN Quadrature Set for the Discrete Ordinates Method journal, November 1995

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Spatial Domain-Based Parallelism in Large-Scale, Participating-Media, Radiative Transport Applications journal, June 1997

Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical Narrow-Band Model journal, February 1999

Methods of conjugate gradients for solving linear systems journal, December 1952

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Biomass enables the transition to a carbon-negative power system across western North America journal, February 2015

Assessing the Role of Particles in Radiative Heat Transfer during Oxy-Combustion of Coal and Biomass Blends journal, January 2015

SLW modeling of radiative transfer in multicomponent gas mixtures journal, May 2000

Full spectrum k-distribution correlations for CO2 from the CDSD-1000 spectroscopic databank journal, May 2004

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

Large Eddy Simulation of a 100 kWth swirling oxy-coal furnace
journal, October 2016

LES modelling of air and oxy-fuel pulverised coal combustion—impact on flame properties
journal, January 2011

Ignition of co-axial turbulent diffusion oxy-coal jet flames: Experiments and simulations collaboration
journal, June 2013

Numerical simulation of oxy-fuel jet flames using unstructured LES–CMC
journal, January 2015

The P-1 model for thermal radiation transfer: advantages and limitations
journal, February 1996

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A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods
journal, May 2002

The Efficient Iterative Solution of the P1 Equation
journal, October 2008

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CO2 capture using oxygen enhanced combustion strategies for natural gas power plants
journal, May 2002

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journal, September 2015

A parametric study of radiative heat transfer in pulverised coal furnaces
journal, August 2000

An overview on oxyfuel coal combustion—State of the art research and technology development
journal, August 2009

Process design and performance analysis of a Staged, Pressurized Oxy-Combustion (SPOC) power plant for carbon capture
journal, July 2014

A comprehensive evaluation of different radiation models in a gas turbine combustor under conditions of oxy-fuel combustion with dry recycle
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Analysis of Radiation Modeling for Turbulent Combustion: Development of a Methodology to Couple Turbulent Combustion and Radiative Heat Transfer in LES
journal, March 2011

A Comparison of Angular Discretization Strategies for Modeling Radiative Transfer in Pool Fire Simulations
journal, September 2012

Models for gaseous radiative heat transfer applied to oxy-fuel conditions in boilers
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
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
journal, May 2011

New correlations for the weighted-sum-of-gray-gases model in oxy-fuel conditions based on HITEMP 2010 database
journal, December 2012

A new weighted-sum-of-gray-gases model for oxy-combustion scenarios: A new model for oxy-combustion scenarios
journal, December 2012

A line by line based weighted sum of gray gases model for inhomogeneous CO2–H2O mixture in oxy-fired combustion
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
journal, January 1996

Validation of spectral gas radiation models under oxyfuel conditions. Part A: Gas cell experiments
journal, July 2011

Validation of spectral gas radiation models under oxyfuel conditions – Part C: Validation of simplified models
journal, November 2012

Predicting Radiative Heat Transfer in Oxy-Methane Flame Simulations: An Examination of Its Sensitivities to Chemistry and Radiative Property Models
journal, January 2015

Calculations of gas thermal radiation transfer in one-dimensional planar enclosure using LBL and SNB models
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
journal, September 2012

The Spectral-Line Weighted-Sum-of-Gray-Gases Model for H2O/CO2 Mixtures
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
journal, May 2014

The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures
journal, June 2001

A full-spectrum k-distribution look-up table for radiative transfer in nonhomogeneous gaseous media
journal, January 2016

The TN Quadrature Set for the Discrete Ordinates Method
journal, November 1995

Parallel Computations of Radiative heat Transfer Using the Discrete Ordinates Method
journal, December 2004

Spatial Domain-Based Parallelism in Large-Scale, Participating-Media, Radiative Transport Applications
journal, June 1997

Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical Narrow-Band Model
journal, February 1999

Methods of conjugate gradients for solving linear systems
journal, December 1952

Evaluation of Coefficients for the Weighted Sum of Gray Gases Model
journal, November 1982

Biomass enables the transition to a carbon-negative power system across western North America
journal, February 2015

Assessing the Role of Particles in Radiative Heat Transfer during Oxy-Combustion of Coal and Biomass Blends
journal, January 2015

SLW modeling of radiative transfer in multicomponent gas mixtures
journal, May 2000

Full spectrum k-distribution correlations for CO2 from the CDSD-1000 spectroscopic databank
journal, May 2004