Abstract
Multiple grid methods are discussed on the basis of the Poisson equation. In the second part, routine-type application of a multi-grid solver for the full potential equation in combination with a boundary layer integral method is demonstrated. Finally, the importance of multi-grid techniques for systems of partial differential equations (Euler, Navier Stokes) is discussed and some first results are presented for a scheme presently under consideration.
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
South, J.C., and Brandt, A.: Application of a multi-level grid method to transonic flow calculations. Transonic Flow Problems in Turbomachinery, edited by T.C. Adamson and M.F. Platzer, Hemisphere, Washington, 1977
Jameson, A.: Acceleration of transonic potential flow calculations on arbitrary meshes by the multiple grid method. AIAA-Paper 79-1458, AIAA 4th CFD Conference, Williamsburg, July 1979
Schmidt, W., Jameson, A., Whitfield, D.: Finite volume solution for the Euler equations for transonic flow over airfoils and wings including viscous effects. AIAA-Paper 81-1265, AIAA 14th FPD Conference, Palo Alto, June 1981
Ni, R.H.: A multiple grid scheme for solving the Euler equations. 5th AIAA CFD Conference, AIAA-Paper 81-1025, June 1981, Palo Alto
Jameson, A.: An alternating direction method for the solution of the transonic small disturbance equation. New York Univ., ERDA Report COO-3077-96, 1975.
Ballhaus, W.F., Jameson, A., Albert, J.: Implicit approximate factorization schemes for the efficient solution of steady transonic flow problems. 3rd AIAA CFD Conference, Albuquerque, June 1977.
Jameson, A.: Iterative solution of transonic flows over airfoils and wings, including flows at Mach 1. Comm. Pure Appl. Math., Vol. 27, 1974, pp. 283–309.
Longo, J., Schmidt, W., Jameson, A.: Viscous transonic airfoil flow simulation. DGLR Symposium "Strömung mit Ablösung", Stuttgart, 1981.
Jameson, A., Schmidt, W., Turkel, E.: Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes. AIAA-Paper 81-1259, AIAA 14th FPD Conference, Palo Alto, June 1981.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Schmidt, W., Jameson, A. (1982). Applications of multi-grid methods for transonic flow calculations. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods. Lecture Notes in Mathematics, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069946
Download citation
DOI: https://doi.org/10.1007/BFb0069946
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11955-5
Online ISBN: 978-3-540-39544-7
eBook Packages: Springer Book Archive