Summary
Axisymmetric laminar hypersonic flow of perfect gas over flared cones is simulated by solving the thin-layer Navier-Stokes equations for the steady state using an implicit upwind scheme based on approximate factorization and the total variation diminishing (TVD) method of Harten and Yee. The algorithm is outlined, and applications are discussed for Mach 25 flow in 77 km altitude over a 30° cone with 20° flare and a 30° cone with convex rear part and a 27° flare.
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References
Müller, B.: “Calculation of Laminar Supersonic Flows over Ramps and Cylinder-Flares”, DFVLR-IB 221-88 A 14, 1988.
Müller, B.: “Simple Improvements of an Upwind TVD Scheme for Hypersonic Flow”, AIAA Paper 89-1977-CP, 1989.
Yee. H.C., Harten, A.: “Implicit TVD Schemes for Hyperbolic Conservation Laws in Curvilinear Coordinates”, AIAA J., Vol. 25 (1987), pp. 266–274.
Müller, B.: “Navier-Stokes Solution for Hypersonic Flow over an Indented Nosetip”, AIAA Paper 85-1504-CP, 1985.
Beam, R.M., Warming, R.F.: “An Implicit Factored Scheme for the Compressible Navier-Stokes Equations II: The Numerical ODE Connection”, AIAA Paper 79-1446, 1979.
Harten, A.: “High Resolution Schemes for Hypersonic Conservation Laws”, J. Comp. Physics, Vol. 49 (1983), pp.357–393.
Yee, H.C.: “A Class of High-Resolution Explicit and Implicit Shock-Capturing Methods”, NASA TM 101088, 1989.
Yee, H.C., Klopfer, G.H., Montagne, J.-L: “High-Resolution Shock-Capturing Schemes for Inviscid and Viscous Hypersonic Flows”, NASA TM 100097, 1988.
Vinokur, M., Liu, Y.: “Equilibrium Gas Flow Computations II: An Analysis of Numerical Formulations of Conservation Laws”, AIAA Paper 88-0127, 1988.
Roe, P.L.: “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes”, J. Comp. Physics, Vol. 43 (1981), pp. 357–372.
Müller, B., Droste, K., Holthoff, H.: “Calculation of Laminar Hypersonic Flow over Flared Cones”, DLR-IB 221-89 A 17, 1989.
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© 1990 Springer Fachmedien Wiesbaden
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Müller, B. (1990). Implicit Upwind Finite-Difference Simulation of Laminar Hypersonic Flow over Flared Cones. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_41
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DOI: https://doi.org/10.1007/978-3-663-13975-1_41
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07629-0
Online ISBN: 978-3-663-13975-1
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