Abstract
Various aspects of airbreathing propulsion systems for use in future space transportation systems, based on scramjet concepts involving combustion of fuel in a supersonic air flow, have been under investigation in the past. In most combustion chamber designs, gaseous fuel is injected at an angle into the air flow, from ports in the duct wall or in some kind of strut or pylon extending into the duct. Although the mixing characteristics of the underlying, more general jet-in-crossflow configuration together with the penetration depth of the jets have great impact on proper combustion of the fuel and correct operation of such a propulsion device, most time-accurate numerical investigations on the transversely injected jet have been carried out for incompressible flow. Numerical work on the supersonic injection flow field is mostly limited to solution of the Reynolds-averaged Navier-Stokes equations. There is thus a need for numerical investigation of the supersonic jet-in-crossflow situation using accurate numerical methods and resolving details of the temporal evolution of the flow. The aim of the present project is to perform large-eddy simulations of the injection of a plane jet into a supersonic flow, using discretization methods of high order of accuracy in both space and time. A mixture of H2 and N2 is injected transversely from a spanwise slot into an air flow in a channel, where reaction with oxygen and heat release take place. The computations are expected to provide detailed information on the physics of this flow, which includes regions of separation, shock-turbulence interaction and turbulence-combustion interaction. Preliminary results together with a description of the computational setup will be presented here.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Handbook of Supersonic Aerodynamics. NAVORD Report 1488, vol. 1, Bureau of Ordnance Publication (1949)
J.D. Anderson, Hypersonic and High-Temperature Gas Dynamics (McGraw-Hill, New York, 1989)
M.J. Barber, J.A. Schetz, L.A. Roe, Normal, sonic helium injection through a wedge-shaped orifice into supersonic flow. J. Propuls. Power 13(2), 257–263 (1997)
R. Brent, Algorithms for Minimization without Derivatives (Prentice-Hall, New York, 1973)
C.F. Chenault, P.S. Beran, R.D.W. Bowersox, Numerical investigation of supersonic injection using a Reynolds-stress turbulence model. AIAA J. 37(10), 1257–1269 (1999)
G. Coleman, J. Kim, J. Moser, A numerical study of turbulent supersonic isothermal wall channel flow. J. Fluid Mech. 305, 159–183 (1995)
J.A. Denev, J. Fröhlich, H. Bockhorn, Direct numerical simulation of a transitional jet in crossflow with mixing and chemical reactions, in Fifth International Symposium on Turbulence and Shear Flow Phenomena, Garching, Germany (2007), pp. 1243–1248
A. Ern, V. Giovangigli, Fast and accurate multicomponent transport property evaluation. J. Comput. Phys. 120, 105–116 (1995)
H. Foysi, Transport passiver Skalare in wandgebundener und isotroper kompressibler Turbulenz. PhD thesis, Technische Universität München, 2005
R. Friedrich, Compressible turbulent flows: Aspects of prediction and analysis. Z. Angew. Math. Mech. 87, 189–211 (2007)
S. Ghosh, Direct and large-eddy simulation of supersonic turbulent flow in pipes, nozzles and diffusers. PhD thesis, Technische Universität München, 2007, to appear
W.P. Jones, M. Wille, Large-eddy simulation of a plane jet in a crossflow. Int. J. Heat Fluid Flow 17(3), 296–306 (1996)
C.A. Kennedy, M. Carpenter, R. Lewis, Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Tech. Rep. 99-22, ICASE (1999)
E. von Lavante, D. Zeitz, M. Kallenberg, Numerical simulation of supersonic airflow with transverse hydrogene injection. J. Propuls. Power 17(6), 1319–1326 (2001)
R. Lechner, J. Sesterhenn, R. Friedrich, Turbulent supersonic channel flow. J. Turbul. 2, 001 (2001)
S.K. Lele, Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16–42 (1992)
C.C.M. Lui, A numerical investigation of shock associated noise. PhD thesis, Department of Mechanical Engineering, Stanford University, 2003
I. Mahle, Direct and large-eddy simulation of inert and reacting compressible turbulent shear layers. PhD thesis, Technische Universität München, 2007
I. Mahle, H. Foysi, S. Sarkar, R. Friedrich, On the turbulence structure in inert and reacting compressible mixing layers. J. Fluid Mech. (2007, to appear)
R.J. Margason, Fifty years of jet in crossflow research, in AGARD Conference Proceedings (1993), pp. 1.1–1.41
P. Markatou, L.D. Pfefferle, M.D. Smooke, A computational study of methane-air combustion over heated catalytic and non-catalytic surfaces. Combust. Flame 93, 185–201 (1993)
J. Mathew, R. Lechner, H. Foysi, J. Sesterhenn, R. Friedrich, An explicit filtering method for LES of compressible flows. Phys. Fluids 15(8), 2279–2289 (2003)
S. Muppidi, K. Mahesh, Study of trajectories of jets in crossflow using direct numerical simulations. J. Fluid Mech. 530, 81–100 (2005)
J. Nordström, The use of characteristic boundary conditions for the Navier-Stokes equations. Comput. Fluids 24(5), 609–623 (1995)
T. Poinsot, S. Lele, Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys. 101, 104–129 (1992)
T. Poinsot, D. Veynante, Theoretical and Numerical Combustion, 2nd edn. (Edwards, Ann Arbor, 2005)
H.E.G. Powrie, G.J. Ball, R.A. East, Comparison of the interactions of two and three dimensional transverse jets with a hypersonic free stream. in AGARD Conference Proceedings (1993), pp. 20.1–20.8
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in Fortran 77: The Art of Scientific Computing, 2nd edn. (Cambridge University Press, Cambridge, 1992)
J.G. Santiago, J.C. Dutton, Velocity measurements of a jet injected into a supersonic crossflow. J. Propuls. Power 13(2), 264–273 (1997)
J.M. Seiner, S.M. Dash, D.C. Kenzakowski, Historical survey on enhanced mixing in scramjet engines. J. Propuls. Power 17(6), 1273–1286 (2001)
J. Sesterhenn, A characteristic-type formulation of the Navier-Stokes equations for high order upwind schemes. Comput. Fluids 30(1), 37–67 (2001)
F.W. Spaid, E.E. Zukoski, A study of the interaction of gaseous jets from transverse slots with supersonic external flows. AIAA J. 6(2), 205–212 (1968)
A.T. Sriram, Numerical simulations of transverse injection of plane and circular sonic jets into turbulent supersonic crossflows. PhD thesis, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, 2003
S. Stolz, N.A. Adams, An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids 11(7), 1699–1701 (1999)
B. Wegner, Y. Huai, A. Sadiki, Comparative study of turbulent mixing in jet in cross-flow configurations using LES. Int. J. Heat Fluid Flow 25, 767–775 (2004)
L.L. Yuan, R.L. Street, J.H. Ferziger, Large-eddy simulations of a round jet in crossflow. J. Fluid Mech. 379, 71–104 (1999)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schaupp, C., Friedrich, R. (2009). Large-Eddy Simulation of Plane Jet Injection into Supersonic Turbulent Crossflow. In: Wagner, S., Steinmetz, M., Bode, A., Brehm, M. (eds) High Performance Computing in Science and Engineering, Garching/Munich 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69182-2_28
Download citation
DOI: https://doi.org/10.1007/978-3-540-69182-2_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69181-5
Online ISBN: 978-3-540-69182-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)