Summary
A combined algorithm using potential/Euler solvers, for transonic flow computations, is described. This combined scheme is substantially more efficient than the basic Euler solver. The potential solver is used to provide initial approximation to the Euler solver, to determine the regions where the flow is vortical and where the Euler solver has to be used. Since the potential solver provides a relatively good approximation to the Euler solution, few (one or two) coupled iterative steps are adequate. The coupled scheme, is faster and requires less computer storage than current Euler solvers.
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
FUCHS, L.: “Finite-difference methods for plane steady inviscid transonic flows”, The Royal Institute of Technology Report. TRITA-GAD-2, ISSN 0281–7721 (1977).
FUCHS, L.: “Transonic flow computation by a multi-grid method”, GAMM-Workshop on Numerical Methods for the computation of Inviscid Transonic Flows with Shock Waves, Rizzi, A. and Viviand, H. (eds.) Vieweg & Sohn, 1979, pp. 58–65.
JAMESON, A.: “A multi-grid scheme for transonic potential calculations on arbitrary grids”, Proc. 4-th AIAA CFD conference, pp. 122–146 (1979).
HOLST, T. L.: “Implicit algortihm for the conservative transonic full potential equation using an arbitrary mesh”, AIAA paper 78–1113 (1978).
GU, C-Y., FUCHS, L.: “Numerical computation of transonic airfoil flows”, in Num. Meth. Laminar and Turbulent Flow-IV, Taylor, C., Olson, M.D., Gresho, P.M., Habashi, W.G. (eds.), Pineridge Press, Swansea, 1985, pp. 1501–1512. (For details see: GU, Y-C.: Trans-sonic flow computations. TRITA-GAD-8, ISSN 0281–7721, 1985).
SCHMIDT, W., JAMESON, A.: “Application of multiple-grid methods for transonic flow calculations”, in ‘Lecture Notes in Mathematics’, Hackbusch, W. and Trottenberg, U. (eds.), Springer Verlag, Berlin, 1982, pp. 599–613.
WILLIAM, J., USAB, Jr., MURMAN, E.M.; “Embedded mesh solutions of the Euler equations using a multiple-grid method”, in ‘Advances in computational transonics’ Habashi W.G. (ed.), Pineridge Press, Swansea 1985, pp. 447–472.
MULDER, W. A.: “Computation of the quasi-steady gas flow in a spiral galaxy by means of a multigrid method”, Proc 2nd Copper-Mountain Multigrid Conference, 1985.
KLOPFER, Ge Euler equationsNon-isentropic potential formulation for transonic flows”, AIAA paper 83–375 (1983).
HAFEZ, M., Lovell, D.: “Entropy and vorticity corrections for transonic flows”, AIAA paper 83–1926 (1983).
JAMESON, A., SCHMIDT, W., TURKEL, E.: “Numerical solution of the Euler equations by finite volume methods using Runge-Kutta time-marching schemes”, AIAA paper 81–1259 (1981).
RIZZI, A. W.: “Damped Euler-equation method to compute transonic flow around wing-body combinations”, AIAA J. 10, (1982), pp. 1321–1328.
JAMESON, A.: A multi-grid solution method for the Euler equations, Proc. ICFD conference, Morton K.W. and Bains, M.J. (eds.), Oxford University Press, to appear 1986.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Fuchs, L. (1987). An Efficient Numerical Scheme for Vortical Transonic Flows. In: Hackbusch, W., Witsch, K. (eds) Numerical Techniques in Continuum Mechanics. Notes on Numerical Fluid Mechanics, vol 16. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85997-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-322-85997-6_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08091-4
Online ISBN: 978-3-322-85997-6
eBook Packages: Springer Book Archive