Comptes Rendus
no. 1
Direct Numerical Simulation of a Gaussian acoustic wave interaction with a turbulent premixed flame
[Simulation Numérique Directe de l'interaction d'une onde acoustique gaussienne avec une flamme turbulente prémélangée]
Alain Laverdant1  ; Dominique Thévenin2
1 Office National d'Études et de Recherches Aérospatiales (ONERA), 29, avenue de la Division Leclerc, BP 72, 92322 Châtillon-sous-Bagneux, France
2 Laboratory of Fluid Mechanics and Technical Flows, University of Magdeburg ‘Otto von Guericke’, Universitaetsplatz 2, 39106 Magdeburg, Germany
Comptes Rendus. Mécanique, Volume 333 (2005) no. 1, pp. 29-37.

L'interaction d'une onde négative gaussienne avec une flamme turbulente prémélangée H2/O2/N2 est examinée à l'aide d'une simulation directe. Les propriétés de transport et de cinétique chimique sont décrites de manière détaillée. Un critère de Rayleigh étendu au régime non linéaire, valable pour des flammes laminaires aussi bien que turbulentes, prémélangées ou de diffusion, est proposé. Les cas où il y a amplification (atténuation) sont recensés. Des simulations directes de flammes turbulentes sont ensuite effectuées avec et sans perturbations acoustiques. Les résultats sont stockés aux mêmes instants. Par simple soustraction, il est possible d'obtenir l'influence de la flamme turbulente sur le comportement de l'onde acoustique. Il est montré que les composantes de vitesse longitudinale et transversale sont perturbées par la flamme turbulente. En outre, la vorticité induite par le transport de l'onde acoustique est faible. Finalement, le critère de Rayleigh montre que l'amplification de l'onde est locale et située dans des zones de petites dimensions.

The interaction of a Gaussian negative pulse with a H2/O2/N2 turbulent premixed flame is examined using Direct Numerical Simulation (DNS). Transport properties and chemical kinetics are described in a very detailed manner. An extended nonlinear local Rayleigh's criterion, for laminar as well as turbulent, premixed or nonpremixed flames, is proposed. Situations in which amplification or attenuation occur are listed. Calculations of a turbulent flame are then carried out with and without an acoustic wave and results are recorded at the same time. The influence of acoustic wave/turbulent flame interaction is obtained by a simple difference. It is shown that longitudinal and transverse velocity components are perturbed by the turbulent flame. Moreover, the vorticity induced by the acoustic wave is observed to be weak. Finally, Rayleigh's criterion shows that wave amplification occurs punctually.

Publié le :
DOI : 10.1016/j.crme.2004.09.015
Keywords: Computational fluid mechanics, Combustion instability, Rayleigh's criterion, Turbulent premixed flame
Mot clés : Mécanique des fluides numérique, Instabilité de combustion, Critère de Rayleigh, Flamme turbulente prémélangée
Alain Laverdant 1 ; Dominique Thévenin 2

1 Office National d'Études et de Recherches Aérospatiales (ONERA), 29, avenue de la Division Leclerc, BP 72, 92322 Châtillon-sous-Bagneux, France
2 Laboratory of Fluid Mechanics and Technical Flows, University of Magdeburg ‘Otto von Guericke’, Universitaetsplatz 2, 39106 Magdeburg, Germany 
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Alain Laverdant; Dominique Thévenin. Direct Numerical Simulation of a Gaussian acoustic wave interaction with a turbulent premixed flame. Comptes Rendus. Mécanique, Volume 333 (2005) no. 1, pp. 29-37. doi : 10.1016/j.crme.2004.09.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.09.015/

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