Summary
A multigrid Solution of the twodimensional compressible Navier-Stokes equations is described. The method rests on the non linear FAS multigrid procedure. Implicit upwind schemes are used as relaxation schemes. This method allows the computation of oscillation-free shocks without the need of introducing artiticial viscosity. Results are presented on the GAMM double-throat nozzte contlguration 1.
The second author’s research was supported by the Netherlands organization for scientific research
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References
M.O. Bristeau. R. Glowinski. J. Periaux and H. Viviand. Eds. “Numerical Simulation of Compressible Navier-Stokes Equations”, Proc. Gamm Workshop, Notes on Numerical Fluid Dynamics. Vol. 18. Vleweg-Verlag. 1986.
B. Van Leer. “Flux Vector Splitting for the Euler Equations”. in Lecture Notes In Physlcs. Vol. 170. pp. 507–511. Springer Verlag. 1982.
A. Harten and S. Osher, “Uniformly High-Order Accurate Non Oscillatory Schemes I”. NASA CR 175768. june 1985.
S. Osher, “Shock Modelling in Aeronautics”, in Numerical Methods for Fluid Dynamics ,pp. 179–217, Morton & Baines Eds., Academic Press, 1982.
D.S. Chaussee and T.H. Pulliam, “A Diagonal Form ot an Impllcit Approximate Factorlzation Algorithm with Application to a Two Dimensional Inlet”, AIAA Paper 80-0067. 1980.
Y. Marx & J. Piquet, “Two-dimensional compresslble Navler-Stokes Finite Volume Computations by means ot Impllcit Schemes”, to appear In Int. J. Num. Meth. Fluids. 1988.
A. Jameson and S. Yoon, “Multigrld Solution ot the Euler Equations using Impllcit Schemes”. AIAA Paper 85-0293, 1985.
Y. Marx, “Computations for Vlscous Compresslble Flows In a Double Throat Nozzle”, In pp. 273–290.
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Marx, Y., Piquet, J. (1989). Towards Multigrid Acceleration of 2D Compressible Navier-Stokes Finite Volume Implicit Schemes. In: Hackbusch, W. (eds) Robust Multi-Grid Methods. Notes on Numerical Fluid Mechanics, vol 23. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86200-6_16
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DOI: https://doi.org/10.1007/978-3-322-86200-6_16
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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Online ISBN: 978-3-322-86200-6
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