A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Esclapez, Lucas; Ricchiuti, Valentina; Bell, John B.; Day, Marcus S.

doi:10.1080/13647830.2019.1668060

Title: A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Abstract

We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.

Authors:

^[1]; Ricchiuti, Valentina ^[1]; Bell, John B. ^[1]; Day, Marcus S. ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: Thu Sep 19 00:00:00 EDT 2019

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI Identifier:: 1572057

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Combustion Theory and Modelling

Additional Journal Information:: Journal Volume: 24; Journal Issue: 2; Journal ID: ISSN 1364-7830

Publisher:: Taylor & Francis

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; low Mach number combustion, spectral deferred correction (SDC), Jacobian Free Newton Krylov (JFNK), electric field

Citation Formats


                    Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., and Day, Marcus S. A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields.  United States: N. p., 2019. 
Web.  doi:10.1080/13647830.2019.1668060.

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                    Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., & Day, Marcus S. A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields.  United States.  https://doi.org/10.1080/13647830.2019.1668060

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                    Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., and Day, Marcus S. Thu .  
"A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields".  United States.  https://doi.org/10.1080/13647830.2019.1668060.  https://www.osti.gov/servlets/purl/1572057.

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@article{osti_1572057,

  title        = {A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields},

  author       = {Esclapez, Lucas and Ricchiuti, Valentina and Bell, John B. and Day, Marcus S.},

  abstractNote = {We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.},

  doi          = {10.1080/13647830.2019.1668060},

  journal      = {Combustion Theory and Modelling},

  number       = 2,

  volume       = 24,

  place        = {United States},

  year         = {Thu Sep 19 00:00:00 EDT 2019},

  month        = {Thu Sep 19 00:00:00 EDT 2019}

}

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https://doi.org/10.1080/13647830.2019.1668060

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Title: A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Abstract

Citation Formats

A Multigrid Tutorial, Second Edition book, January 2000

Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics journal, March 2004

The effect of nonsteady electric fields on sooting flames journal, December 1989

Simulation of electric field effects in premixed methane flames journal, September 1993

A mathematical model of the opposed-jet diffusion flame: Effect of an electric field on concentration and temperature profiles journal, December 1972

The i − V curve characteristics of burner-stabilized premixed flames: detailed and reduced models journal, January 2017

Generalized Einstein relation for disordered semiconductors—implications for device performance journal, March 2002

Simultaneous measurements of OH, mixture fraction and velocity fields to investigate flame stabilization enhancement by electric field journal, July 2011

The effects of incident electric fields on counterflow diffusion flames journal, July 2018

Direct numerical simulation of the effect of an electric field on flame stability journal, December 2010

Jacobian-free Newton–Krylov methods: a survey of approaches and applications journal, January 2004

Speeding Up Fluid Models for Gas Discharges by Implicit Treatment of the Electron Energy Source Term journal, March 2000

Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models journal, May 2018

Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models journal, October 2005

The effect of electric fields on the burning velocity of various flames journal, June 1971

Mechanisms for the formation of ions in flames journal, December 1957

Plasma-assisted ignition and combustion journal, February 2013

Electric-field-induced flame speed modification journal, October 2005

Spectral Deferred Correction Methods for Ordinary Differential Equations journal, June 2000

Development of a numerical model for the electric current in burner-stabilised methane–air flames journal, January 2015

Calculation and analysis of the mobility and diffusion coefficient of thermal electrons in methane/air premixed flames journal, December 2012

Effect of AC electric fields on the stabilization of premixed bunsen flames journal, January 2011

Numerical prediction of ion current from a small methane jet flame journal, June 2009

Detailed ion chemistry in methaneoxygen flames. I. Positive ions journal, January 1979

Effect of electric fields on the propagation speed of tribrachial flames in coflow jets journal, March 2008

Flame ion generation rate as a measure of the flame thermo-acoustic response journal, November 2013

A deferred correction coupling strategy for low Mach number flow with complex chemistry journal, December 2012

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems journal, July 1986

Investigations on ions in flames journal, January 1997

An experimental study of the effects of high frequency electric fields on laser-induced flame propagation journal, February 1975

Kinetic parameters, collision rates, energy exchanges and transport coefficients of non-thermal electrons in premixed flames at sub-breakdown electric field strengths journal, January 2014

Detailed ion chemistry in methaneoxygen flames. II. Negative ions journal, January 1979

High-order multi-implicit spectral deferred correction methods for problems of reactive flow journal, August 2003

The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion journal, January 1985

An overview of the Trilinos project journal, September 2005

Numerical simulation of laminar reacting flows with complex chemistry journal, December 2000

Three-dimensional simulation of ionic wind in a laminar premixed Bunsen flame subjected to a transverse DC electric field journal, April 2019

A computational study of the effects of DC electric fields on non-premixed counterflow methane-air flames journal, November 2017

Modelling of the effect of DC and AC electric fields on the stability of a lifted diffusion methane/air flame journal, August 2013

Effect of an electric field on the nitrogen oxide emission and structure of a laminar propane diffusion flame journal, April 1995

Modeling ion chemistry and charged species diffusion in lean methane–oxygen flames journal, January 2007

Modelling electric field driven convection in small combustion plasmas and surrounding gases journal, December 2007

A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration journal, August 2017

Numerical modelling of ion transport in flames journal, October 2015

Towards a hand-held, fast, and sensitive gas chromatograph-ion mobility spectrometer for detecting volatile compounds journal, November 2020

Plasma-Assisted Ignition and Combustion book, September 2011

A Multigrid Tutorial, Second Edition
book, January 2000

Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics
journal, March 2004

The effect of nonsteady electric fields on sooting flames
journal, December 1989

Simulation of electric field effects in premixed methane flames
journal, September 1993

A mathematical model of the opposed-jet diffusion flame: Effect of an electric field on concentration and temperature profiles
journal, December 1972

The $i - V$ curve characteristics of burner-stabilized premixed flames: detailed and reduced models
journal, January 2017

Generalized Einstein relation for disordered semiconductors—implications for device performance
journal, March 2002

Simultaneous measurements of OH, mixture fraction and velocity fields to investigate flame stabilization enhancement by electric field
journal, July 2011

The effects of incident electric fields on counterflow diffusion flames
journal, July 2018

Direct numerical simulation of the effect of an electric field on flame stability
journal, December 2010

Jacobian-free Newton–Krylov methods: a survey of approaches and applications
journal, January 2004

Speeding Up Fluid Models for Gas Discharges by Implicit Treatment of the Electron Energy Source Term
journal, March 2000

Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models
journal, May 2018

Solving the Boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid models
journal, October 2005

The effect of electric fields on the burning velocity of various flames
journal, June 1971

Mechanisms for the formation of ions in flames
journal, December 1957

Plasma-assisted ignition and combustion
journal, February 2013

Electric-field-induced flame speed modification
journal, October 2005

Spectral Deferred Correction Methods for Ordinary Differential Equations
journal, June 2000

Development of a numerical model for the electric current in burner-stabilised methane–air flames
journal, January 2015

Calculation and analysis of the mobility and diffusion coefficient of thermal electrons in methane/air premixed flames
journal, December 2012

Effect of AC electric fields on the stabilization of premixed bunsen flames
journal, January 2011

Numerical prediction of ion current from a small methane jet flame
journal, June 2009

Detailed ion chemistry in methaneoxygen flames. I. Positive ions
journal, January 1979

Effect of electric fields on the propagation speed of tribrachial flames in coflow jets
journal, March 2008

Flame ion generation rate as a measure of the flame thermo-acoustic response
journal, November 2013

A deferred correction coupling strategy for low Mach number flow with complex chemistry
journal, December 2012

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
journal, July 1986

Investigations on ions in flames
journal, January 1997

An experimental study of the effects of high frequency electric fields on laser-induced flame propagation
journal, February 1975

Kinetic parameters, collision rates, energy exchanges and transport coefficients of non-thermal electrons in premixed flames at sub-breakdown electric field strengths
journal, January 2014

Detailed ion chemistry in methaneoxygen flames. II. Negative ions
journal, January 1979

High-order multi-implicit spectral deferred correction methods for problems of reactive flow
journal, August 2003

The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion
journal, January 1985

An overview of the Trilinos project
journal, September 2005

Numerical simulation of laminar reacting flows with complex chemistry
journal, December 2000

Three-dimensional simulation of ionic wind in a laminar premixed Bunsen flame subjected to a transverse DC electric field
journal, April 2019

A computational study of the effects of DC electric fields on non-premixed counterflow methane-air flames
journal, November 2017

Modelling of the effect of DC and AC electric fields on the stability of a lifted diffusion methane/air flame
journal, August 2013

Effect of an electric field on the nitrogen oxide emission and structure of a laminar propane diffusion flame
journal, April 1995

Modeling ion chemistry and charged species diffusion in lean methane–oxygen flames
journal, January 2007

Modelling electric field driven convection in small combustion plasmas and surrounding gases
journal, December 2007

A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration
journal, August 2017

Numerical modelling of ion transport in flames
journal, October 2015

Towards a hand-held, fast, and sensitive gas chromatograph-ion mobility spectrometer for detecting volatile compounds
journal, November 2020

Plasma-Assisted Ignition and Combustion
book, September 2011