Abstract
A central-difference multigrid scheme for the Navier-Stokes equations is extended for computations of hypersonic flows over 2D ramps. The modifications of the multigrid algorithm which are necessary to capture strong shocks are discussed. Finally, results for three Mach = 5 high-Reynolds-number test cases of the Antibes Workshop are given.
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References
Jameson, A., Schmidt, W., Turkel, E.: “Numerical Solution of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes”, AIAA 81 - 1259, (1981).
Jameson, A.: “Multigrid Algorithms for Compressible Flow Calculations”, MAE Report 1743, Princeton University, Text of Lecture given at 2nd European Conference on Multigrid Methods, Cologne, Oct. 1985, (1985).
Radespiel, R., Rossow, C.C., Swanson, R.C.: “An Efficient Cell-Vertex Multigrid Scheme for the Three-Dimensional Navier-Stokes Equations”, AIAA 89 - 1953, (1989).
Baldwin, B.S., Lomax, H.: “Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows”, AIAA 78 - 257, (1978).
Rossow, C.-C., Kroll, N., Radespiel, R., SCHERR, S.: “Investigation of the Accuracy of Finite Volume Methods for 2- and 3-Dimensional Flows”, AGARD-CP-437, Vol. 2, P. 14, (1988).
Kroll, N., Rossow, C.-C.: “A High Resolution Cell Vertex TVD Scheme for the Solution of the Two- and Three-Dimensional Euler Equations”, 12th International Conference on Numerical Methods in Fluid Dynamics, Oxford, UK, 9-13 July 1990, To be published in Lecture Notes in Physics, Springer-Verlag.
Martinelli, L.: “Calculations of Viscous Flows with a Multigrid Method”, Ph.D. Dissertation, MAE Department, Princeton University, (1987).
Delery, J., Coet, M.C.: “Experimental Investigation of Shock-Wave/Boundary-Layer Interaction in Hypersonic Flows.”, Workshop on Hypersonic Flows for Reentry Problems, Antibes, France, 22 – 25 Jan. 1990.
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© 1991 Springer-Verlag Berlin Heidelberg
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Radespiel, R., Herrmann, U., Longo, J.M.A. (1991). Computation of Flows Over 2D Ramps. In: Désidéri, JA., Glowinski, R., Périaux, J. (eds) Hypersonic Flows for Reentry Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76527-8_19
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DOI: https://doi.org/10.1007/978-3-642-76527-8_19
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