Abstract
Thermoacoustic instabilities are a serious problem for lean premixed combustion systems. Due to different time and length scales associated with the flow field, combustion, and acoustics, numerical computations of thermoacoustic phenomena are conceptually challenging. Using these methods to successfully design active control strategies is therefore difficult. This work presents a coupled method for the simulation of thermoacoustic instabilities in low Mach number reacting flows. The acoustics are represented by an experimentally identified reduced order model. A zero-Mach solver is used for the flame dynamics on the hydrodynamic scale. Two control schemes are employed to suppress thermoacoustic oscillations, equivalence ratio modulation and control of the acoustic boundary conditions. Both methods are shown to be capable of effectively diminishing the instability.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Candel, S.: Proc. Combust. Inst. 29(1), 1 (2002)
Lieuwen, T.C., Yang, V. (eds.): Combustion Instabilities in Gas Turbine Engines. Progress in Astronautics and Aeronautics, vol. 210. AIAA, Inc. (2005)
Schmitt, P., Poinsot, T., Schuermans, B., Geigle, K.P.: J. Fluid Mech. 570, 17 (2007)
Paschereit, C.O., Schuermans, B., Polifke, W., Mattson, O.: J. Eng. Gas Turbines Power 124(2), 239 (2002)
van Kampen, J.F., Kok, J.B.W., van der Meer, T.H.: Int. J. Numer. Methods Fluids 54(9), 1131 (2007)
Lieuwen, T.C.: J. Propul. Power 18(1), 61 (2002)
Moeck, J.P., Bothien, M.R., Schimek, S., Lacarelle, A., Paschereit, C.O.: AIAA paper 2008-2946 (2008)
Dowling, A.P.: J. Fluid Mech. 346, 271 (1997)
Tyagi, M., Chakravarthy, S.R., Sujith, R.I.: Combust. Theor. Model. 11(2), 205 (2007)
Moeck, J.P., Oevermann, M., Klein, R., Paschereit, C.O., Schmidt, H.: Proc. Combust. Inst. 32(1), 1199 (2009)
Moeck, J.P., Bothien, M.R., Guyot, D., Paschereit, C.O.: King, R. (ed.) Active Flow Control. NNFM, vol. 95, pp. 408–421. Springer, Heidelberg (2007)
Guyot, D., Bothien, M.R., Moeck, J.P., Paschereit, C.O.: Proc. Appl. Math. Mech. 7, 4090015 (2007)
Bothien, M.R., Moeck, J.P., Paschereit, C.O.: J. Sound Vibr. 318, 678 (2008)
Seume, J.R., Vortmeyer, N., Krause, W., Hermann, J., Hantschk, C.C., Zangl, P., Gleis, S., Vortmeyer, D., Orthmann, A.: J. Eng. Gas Turbines Power 120, 721 (1998)
Gelbert, G., Moeck, J.P., Bothien, M.R., King, R., Paschereit, C.O.: AIAA paper 2008-1055 (2008)
King, R., Aleksic, K., Gelbert, G., Losse, N., Muminovic, R., Brunn, A., Nitsche, W., Bothien, M.R., Moeck, J.P., Paschereit, C.O., Noack, B.R., Rist, U., Zengl, M.: AIAA paper 2008-3975 (2008)
Moeck, J.P., Bothien, M.R., Paschereit, C.O., Gelbert, G., King, R.: AIAA paper 2007-1416 (2007)
Klein, R.: J. Comput. Phys. 121, 213 (1995)
Münch, M.: MOLOCH Ein Strömungsverfahren für inkompressible Strömungen – Technische Referenz 1.0. Tech. Rep. 109, Potsdam Institute for Climate Impact Research, PIK (2008)
Schneider, T., Botta, N., Geratz, K.J., Klein, R.: J. Comput. Phys. 155(2), 248 (1999)
Strang, G.: SIAM J. Numer. Anal. 5, 506 (1968)
Klein, R.: Theor. Comput. Fluid Dyn. 23, 161 (2009)
Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion, Edwards (2005)
Mohammadi, B., Pironneau, O.: Analysis of the K-Epsilon Turbulence Model, Masson, Paris (1993)
Lindstedt, R., Váos, E.: Combust. Flame 116(4), 461 (1999)
Harris, S.C.: Proc. R. Soc. Edinb. 129A, 503 (1999)
Majda, A.J., Souganidis, P.E.: Nonlinearity 7, 1 (1994)
Lieuwen, T.: J. Propul. Power 19(5), 765 (2003)
Noiray, N., Durox, D., Schuller, T., Candel, S.: J. Fluid Mech. 615, 139 (2008)
Schimek, S., Moeck, J.P., Paschereit, C.O.: ASME paper GT2010-22827 (2010)
Paschereit, C.O., Schuermans, B., Bellucci, V., Flohr, P.: In: Lieuwen, T., Yang, V. (eds.) Combustion Instabilities in Gas Turbine Engines. Progress in Astronautics and Aeronautics, vol. 210, pp. 445–480. AIAA Inc. (2005)
Poinsot, T., le Chatelier, C., Candel, S.M., Esposito, E.: J. Sound Vibr. 107(2), 265 (1986)
Paschereit, C.O., Gutmark, E., Weisenstein, W.: AIAA paper 99-0711 (1999)
Hibshman, J.R., Cohen, J.M., Banaszuk, A., Anderson, T.J., Alholm, H.A.: ASME paper 99-GT-215 (1999)
Tran, N., Ducruix, S., Schuller, T.: Proc. Combust. Inst. 32(2), 2917 (2009)
Moeck, J.P., Bothien, M.R., Paschereit, C.O.: AIAA paper 2007-3540 (2007)
Bothien, M.R., Moeck, J.P., Paschereit, C.O.: J. Eng. Gas Turbines Power 132 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Moeck, J.P., Scharfenberg, C., Paschereit, O., Klein, R. (2010). A Zero-Mach Solver and Reduced Order Acoustic Representations for Modeling and Control of Combustion Instabilities. In: King, R. (eds) Active Flow Control II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11735-0_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-11735-0_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11734-3
Online ISBN: 978-3-642-11735-0
eBook Packages: EngineeringEngineering (R0)