Dynamic Mode Decomposition of Turbulent Combustion Process in DLR Scramjet Combustor
Publication: Journal of Aerospace Engineering
Volume 30, Issue 5
Abstract
Large eddy simulations (LES) are employed to investigate instabilities in the combustion process of a model scramjet combustor at the German Aerospace Center (DLR). Dynamic mode decomposition (DMD) is applied to analyze the numerical results. The DMD spectrum of the hydroxyl (OH) field is analyzed, and primary peaks are observed at 6375, 9763, 12063, and 15745 Hz, corresponding to , 0.0802, 0.099, and 0.129, respectively. The DMD mode corresponding to exhibits antisymmetric patterns in the wake of the strut, with the DMD mode corresponding to displaying similar structures. The DMD spectrum of the hydroperoxyl () field is also investigated. Antisymmetric patterns initiating from both trailing edges of the strut are also extracted at nearly the same Strouhal numbers. DMD analyses are also performed on the pressure and velocity fields. The dominant frequencies in the pressure field are lower than those of the OH and fields, indicating that the dominant pressure oscillation is unlikely to couple with the strongest unsteadiness in the OH and fields. The streamwise component of the velocity DMD mode attributed to the same Strouhal number exhibits an antisymmetric pattern similar to the most unstable OH DMD modes. Wake instability is believed to be the main cause of the dominant oscillations in the OH field. Moreover, the unsteady characteristics of the field are also related to the wake instability.
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Acknowledgments
The authors are grateful to Professor Xue-song Bai at Lund University and Professor Fei Qin at Northwestern Polytechnical University for helpful discussions.
References
Althaus, W. (1990). “Experimental investigation of vortex formation in the wake of a fiat plate for subsonic and supersonic freestream Mach numbers.” Exp. Fluids, 9(5), 267–272.
Baba-Ahmadi, M. H., and Tabor, G. R. (2009). “Inlet conditions for LES using mapping and feedback control.” Comput. Fluids, 38(6), 1299–1311.
Barnes, F. W., and Segal, C. (2015). “Cavity-based flameholding for chemically-reacting supersonic flows.” Prog. Aerosp. Sci., 76, 24–41.
Berglund, M., Fedina, E., Fureby, C., Tegnér, J., and Sabelnikov, V. (2010). “Finite rate chemistry large-eddy simulation of self-ignition in a supersonic combustion ramjet.” AIAA J., 48(3), 540–550.
Berglund, M., and Fureby, C. (2007). “LES of supersonic combustion in a scramjet engine model.” Proc., Combustion Institute, 31(2), 2497–2504.
Bloor, M. S. (1964). “The transition to turbulence in the wake of a circular cylinder.” J. Fluid Mech., 19(2), 290.
Brown, G. L., and Roshko, A. (2012). “Turbulent shear layers and wakes.” J. Turbul., 13, 1–32.
Chapuis, M., Fedina, E., Fureby, C., Hannemann, K., Karl, S., and Schramm, J. M. (2013). “A computational study of the HyShot II combustor performance.” Proc., Combustion Institute, 34(2), 2101–2109.
Chen, Q., Wang, B., Zhang, H., Zhang, Y., and Gao, W. (2016). “Numerical investigation of H2/air combustion instability driven by large scale vortex in supersonic mixing layers.” Int. J. Hydrogen Energy, 41(4), 3171–3184.
Choi, J.-Y., Mab, F., and Yang, V. (2005). “Combustion oscillations in a scramjet engine combustor with transverse fuel injection.” Proc., Combustion Institute, 30(2), 2851–2858.
Eklund, D. R., Baurle, R. A., and Gruber, M. R. (2001). “Numerical study of a scramjet combustor fueled by an aerodynamic ramp injector in dual-mode combustor.” 39th Aerospace Sciences Meeting and Exhibit, AIAA, Washington, DC, 2001–0379.
Fey, U., Konig, M., and Eckelmann, H. (1998). “A new Strouhal–Reynolds-number relationship for the circular cylinder in the range .” Phys. Fluids, 10(7), 1547–1549.
Fureby, C., Nordin-Bates, K., Petterson, K., Bresson, A., and Sabelnikov, V. (2015). “A computational study of supersonic combustion in strut injector and hypermixer flow fields.” Proc., Combustion Institute, 35(2), 2127–2135.
Fureby, C., Tabor, G., Weller, H. G., and Gosman, A. D. (1997). “A comparative study of subgrid scale models in homogeneous isotropic turbulence.” Phys. Fluids, 9(5), 1416–1429.
Génin, F., and Menon, S. (2010). “Simulation of turbulent mixing behind a strut injector in supersonic flow.” AIAA J., 48(3), 526–539.
Gong, C., Jangi, M., Bai, X.-S., Lian, J.-H., and Sun, M.-B. (2017). “Large eddy simulation of hydrogen combustion in supersonic flows using an Eulerian stochastic fields method.” Int. J. Hydrogen Energy, 42(2), 1264–1275.
Greenshields, C. J., Weller, H. G., Gasparini, L., and Reese, J. M. (2010). “Implementation of semi-discrete, non-staggered central schemes in a colocated, polyhedral, finite volume framework, for high-speed viscous flows.” Int. J. Numer. Meth. Fluids, 63(1), 1–21.
Gruber, M., Donbar, J., Jackson, T., Mathur, T., Eklund, D., and Billig, F. (2000). “Performance of an aerodynamic ramp fuel injection in a scramjet combustor.” 36th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, AIAA, Washington, DC, 2000–3708.
Harris, P. J., and Fasel, H. F. (1998). “Numerical investigation of the unsteady behavior of supersonic plane wakes.” 29th AIAA Fluid Dynamics Conf., AIAA, Washington, DC, 98–2974.
Henderson, R. D. (1997). “Nonlinear dynamics and pattern formation in turbulent wake transition.” J. Fluid Mech., 352, 65–112.
Hou, L., Niu, D., and Ren, Z. (2014). “Partially premixed flamelet modeling in a hydrogen-fueled supersonic combustor.” Int. J. Hydrogen Energy, 39(17), 9497–9504.
Huang, Z.-W., He, G.-Q., Qin, F., and Wei, X.-G. (2015). “Large eddy simulation of flame structure and combustion mode in a hydrogen fueled supersonic combustor.” Int. J. Hydrogen Energy, 40(31), 9815–9824.
Jachimowski, C. J. (1988). “An analytical study of the hydrogen-air reaction mechanism with application to scramjet combustion.”, NASA, Washington, DC.
Kurganov, A., and Tadmor, E. (2000). “New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations.” J. Comput. Phys., 160(1), 241–282.
Law, C. K. (2006). Combustion physics, Cambridge University Press, New York.
Lysnko, V. I. (1999). “Experimental studies of stability and transition in high-speed wakes.” J. Fluid Mech., 392, 1–26.
Moule, Y., Sabelnikov, V., and Mura, A. (2014). “Highly resolved numerical simulation of combustion in supersonic hydrogen-air coflowing jets.” Combust. Flame, 161(10), 2647–2668.
Nordin-Bates, K., Fureby, C., Karl, S., and Hannemann, K. (2016). “Understanding scramjet combustion using LES of the HyShot II combustor.” Proc., Combustion Institute, 36(2), 2893–2900.
Oevermann, M. (2000). “Numerical investigation of turbulent hydrogen combustion in a scramjet using flamelet modeling.” Aerosp. Sci. Technol., 4(7), 463–480.
OpenFOAM v2.0.0 [Computer software]. ESI-OpenCFD Ltd. (ESI Group), Bracknell, U.K.
Poinsot, T., and Veynante, D. (2005). Theoretical and numerical combustion, 2nd Ed., Edwards, Crawley, U.K.
Potturi, A. S., and Edwards, J. R. (2015). “Large-eddy/Reynolds-averaged Navier-Stokes simulation of cavity-stabilized ethylene combustion.” Combust. Flame, 162(4), 1176–1192.
Prasad, A., and Williamson, C. H. K. (1997). “The instability of the shear layer separating from a bluff body.” J. Fluid Mech., 333, 375–402.
Roshko, A. (1954). “On the development of turbulent wakes from vortex streets.”, National Advisory Committee for Aeronautics (NACA), Washington, DC.
Rowley, C. W., Mezic, I., Bagheri, S., Schlatter, P., and Henningson, D. S. (2009). “Spectral analysis of nonlinear flows.” J. Fluid Mech., 641, 115–127.
Saad, Y. (1980). “Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices.” Linear Algebr. Appl., 34, 269–295.
Sabelnikov, V., and Fureby, C. (2013). “Extended LES-PaSR model for simulation of turbulent combustion.” Prog. Propul. Phys., 4, 539–568.
Sabelnikov, V., and Fureby, C. (2013). “LES combustion modeling for high Re flames using a multi-phase analogy.” Combust. Flame, 160(4), 83–96.
Sandberg, R. D. (2012). “Numerical investigation of turbulent supersonic axisymmetric wakes.” J. Fluid Mech., 702, 488–520.
Schmid, P. J. (2010). “Dynamic mode decomposition of numerical and experimental data.” J. Fluid Mech., 656, 5–28.
Schmid, P. J. (2011). “Application of the dynamic mode decomposition to experimental data.” Exp. Fluids, 50(4), 1123–1130.
Spalding, D. B. (1961). “A single formula for the law of the wall.” J. Appl. Mech. Trans. ASME, Series E, 28(3), 455–458.
Statnikov, V., Sayadi, T., Meinke, M., Schmid, P., and Schröder, W. (2015). “Investigations of unsteady transonic and supersonic wake flow of generic space launcher configurations using zonal RANS/LES and dynamic mode decomposition.” High Performance Computing in Science and Engineering ’14, Transactions of the High Performance Computing Center, Stuttgart (HLRS), Springer, Berlin.
Tabor, G. R., and Baba-Ahmadi, M. H. (2010). “Inlet conditions for large eddy simulation: A review.” Comput. Fluids, 39(4), 553–567.
Takahashi, H., Tu, Q., and Segal, C. (2010). “Effects of pylon-aided fuel injection on mixing in a supersonic flowfield.” J. Propul. Power, 26(5), 1092–1101.
Tu, J. H. (2013). “Dynamic mode decomposition: Theory and applications.” Dept. of Mechanical and Aerospace Engineering, Princeton Univ., Princeton, NJ.
Vergine, F., Crisanti, M., Maddalena, L., Miller, V., and Gamba, M. (2015). “Supersonic combustion of pylon-injected hydrogen in high-enthalpy flow with imposed vortex dynamics.” J. Propul. Power, 31(1), 89–103.
Vergine, F., and Maddalena, L. (2014). “Experimental study of strut injectors for scramjet combustors.” 19th AIAA Int. Space Planes and Hypersonic Systems and Technologies Conf., AIAA, Washington, DC.
Villiers, E. (2006). “The potential of large eddy simulation for the modeling of wall bounded flows.” Dept. of Mechanical Engineering, Imperial College of Science, Technology and Medicine, London.
Waidmann, W., Alff, F., Brummund, U., Böhm, M., Clauss, W., and Oschwald, M. (1996). “Supersonic combustion of hydrogen/air in a scramjet combustion chamber.” Space Technol., 15(6), 421–429.
Wang, Z., Sun, M., Wang, H., Yu, J., Liang, J., and Zhuang, F. (2015). “Mixing-related low frequency oscillation of combustion in an ethylene-fueled supersonic combustor.” Proc., Combustion Institute, 35(2), 2137–2144.
Williamson, C. H. K. (1996). “Vortex dynamics in the cylinder wake.” Ann. Rev. Fluid Mech., 28(1), 477–539.
Yoshizawa, A. (1986). “Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling.” Phys. Fluids, 29(7), 2152–2164.
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Published In
Journal of Aerospace Engineering
Volume 30 • Issue 5 • September 2017
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©2017 American Society of Civil Engineers.
History
Received: Aug 22, 2016
Accepted: Feb 6, 2017
Published online: May 2, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 2, 2017
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