Time-space adaptive numerical methods for the simulation of combustion fronts

Max Duarte; Marc Massot; Stéphane Descombes; Christian Tenaud; Sebastien Candel

hal-00653056, version 1

Time-space adaptive numerical methods for the simulation of combustion fronts

Max Duarte () ¹, Marc Massot () ^1, 2, Stéphane Descombes () ³, Christian Tenaud () ⁴, Sebastien Candel ¹

Annual Research Briefs of the Center for Turbulence Research Center for Turbulence Research - Stanford University (Ed.) (2012) 347-358

Résumé : In this work we are concerned with the the numerical simulation of flames issued from combustion applications with a time-space adaptive technique. This study is carried out in a classical context of laminar flames interacting with vortex structures including self-ignition processes of reactive mixtures. Hydrodynamics are decoupled from transport equations by adopting a standard thermo-diffusive approach. In this context and for the considered application, adaptive space meshing is advantageous because of the presence of localized fronts, whereas the important transient phases owing to the imposed velocity fields, as well as sudden physical variations given by the ignition of the mixture, require an adequate time adaptation in order to efficiently describe these phenomena. The coupling of an adaptive splitting technique with adaptive multiresolution in space allows a very efficient approach and leads to detailed numerical simulations in 2D and 3D with standard computer ressources.

1 : Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C)
CNRS : UPR288 – Ecole Centrale Paris
2 : Center for Turbulence Research (CTR)
Stanford University
3 : Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
4 : Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [Orsay] (LIMSI)
CNRS : UPR3251 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris XI - Paris Sud

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Soumis le : Vendredi 16 Décembre 2011, 23:40:31
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%% hal-00653056, version 1
%% http://hal.archives-ouvertes.fr/hal-00653056
@incollection{duarte:hal-00653056,
    hal_id = {hal-00653056},
    url = {http://hal.archives-ouvertes.fr/hal-00653056},
    title = {{Time-space adaptive numerical methods for the simulation of combustion fronts}},
    author = {Duarte, Max and Massot, Marc and Descombes, St{\'e}phane and Tenaud, Christian and Candel, Sebastien},
    abstract = {{In this work we are concerned with the the numerical simulation of flames issued from combustion applications with a time-space adaptive technique. This study is carried out in a classical context of laminar flames interacting with vortex structures including self-ignition processes of reactive mixtures. Hydrodynamics are decoupled from transport equations by adopting a standard thermo-diffusive approach. In this context and for the considered application, adaptive space meshing is advantageous because of the presence of localized fronts, whereas the important transient phases owing to the imposed velocity fields, as well as sudden physical variations given by the ignition of the mixture, require an adequate time adaptation in order to efficiently describe these phenomena. The coupling of an adaptive splitting technique with adaptive multiresolution in space allows a very efficient approach and leads to detailed numerical simulations in 2D and 3D with standard computer ressources.}},
    keywords = {Adaptive operator splitting; adaptive multiresolution; combustion; ignition; diffusion flames},
    language = {Anglais},
    affiliation = {Laboratoire d'{\'E}nerg{\'e}tique Mol{\'e}culaire et Macroscopique, Combustion - EM2C , Center for Turbulence Research - CTR , Laboratoire Jean Alexandre Dieudonn{\'e} - JAD , Laboratoire d'Informatique pour la M{\'e}canique et les Sciences de l'Ing{\'e}nieur [Orsay] - LIMSI},
    booktitle = {{Annual Research Briefs of the Center for Turbulence Research}},
    publisher = {Center for Turbulence Research - Stanford University},
    pages = {347-358},
    note = {http://www.stanford.edu/group/ctr/ResBriefs/2011/ The authors wish to thank Parviz Moin and the Center for Turbulence Research at Stanford University for their hospitality and financial support. Support from the RTRA DIGITEO (Project MUSE, PI M. Massot) and Ecole Centrale Paris fellowship for M. Duarte are gratefully acknowledged. This research was supported by a fundamental project grant from ANR (French National Research Agency - ANR Blancs): S{\'e}chelles} (project leader S. Descombes). The support of a Ph.D. grant from Mathematics (INSMI) and Engineering (INSIS) Institutes of CNRS is gratefully acknowledged ad well as the the support by INCA project (National Initiative for Advanced Combustion - CNRS - ONERA - SAFRAN). },
    audience = {internationale },
    year = {2012},
    month = Jan,
}

%F hal-00653056, version 1
%0 Book Section
%U http://hal.archives-ouvertes.fr/hal-00653056
%2 MATH:MATH_NA;SPI:FLUID;SPI:MECA:MEFL;PHYS:MECA:MEFL
%T Time-space adaptive numerical methods for the simulation of combustion fronts
%A Duarte, Max
%A Massot, Marc
%A Descombes, Stéphane
%A Tenaud, Christian
%A Candel, Sebastien
%+ Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion - EM2C , Center for Turbulence Research - CTR , Laboratoire Jean Alexandre Dieudonné - JAD , Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [Orsay] - LIMSI
%X In this work we are concerned with the the numerical simulation of flames issued from combustion applications with a time-space adaptive technique. This study is carried out in a classical context of laminar flames interacting with vortex structures including self-ignition processes of reactive mixtures. Hydrodynamics are decoupled from transport equations by adopting a standard thermo-diffusive approach. In this context and for the considered application, adaptive space meshing is advantageous because of the presence of localized fronts, whereas the important transient phases owing to the imposed velocity fields, as well as sudden physical variations given by the ignition of the mixture, require an adequate time adaptation in order to efficiently describe these phenomena. The coupling of an adaptive splitting technique with adaptive multiresolution in space allows a very efficient approach and leads to detailed numerical simulations in 2D and 3D with standard computer ressources.
%G Anglais
%2 2011-11-01
%2 internationale
%B Annual Research Briefs of the Center for Turbulence Research
%I Center for Turbulence Research - Stanford University
%8 2012-01-03
%P 347-358
%K Adaptive operator splitting; adaptive multiresolution; combustion; ignition; diffusion flames
%Z http://www.stanford.edu/group/ctr/ResBriefs/2011/
%Z The authors wish to thank Parviz Moin and the Center for Turbulence Research at Stanford University for their hospitality and financial support. Support from the RTRA DIGITEO (Project MUSE, PI M. Massot) and Ecole Centrale Paris fellowship for M. Duarte are gratefully acknowledged. This research was supported by a fundamental project grant from ANR (French National Research Agency - ANR Blancs): Séchelles} (project leader S. Descombes). The support of a Ph.D. grant from Mathematics (INSMI) and Engineering (INSIS) Institutes of CNRS is gratefully acknowledged ad well as the the support by INCA project (National Initiative for Advanced Combustion - CNRS - ONERA - SAFRAN).
%2 11506

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