Abstract
Algorithm for solving the difference equations is considered. The difference eq. obtained with approximate factorization for 3-D stable implicit schemes may become unstable or conditionally stable. If proper Jacobian matrix splitting is used stable approximately factored scheme can be obtained. In order to remove the factorization error en efficient nested iterative method is suggested. In this method only tridiagonal matrix inversions are needed. Amount of computation is much reduced at each time step.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
Reference
MacCormack,R.W., AIAA. No. 69-354 (1969).
Beam,R.M. and Warming,R.F., J. of Computational Physics, Vol. 22, pp 87–110, 1976.
Steger J.L. and Warming,R.F. J. of Computational Physics. Vol. 40. No. 2 (1981.
Ma Yanwen And Fu Dexun, Lecture Notes In physics No. 26 (1986)
MacCormack,R.W., AIAA Paper No. 85-032.
Chakravarthy,S.R. AIAA Paper No.84-0165(1984).
Ma Yanwen and Fu Dexun, AIAA Paper No.87-1123(1987).
Fu Dexun and Ma Yanwen, Lecture Notes In Physics Vol. 218(1984)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Dexun, F., Yanwen, M. (1989). An efficient nested iterative method for solving the aerodynamic equations. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_30
Download citation
DOI: https://doi.org/10.1007/3-540-51048-6_30
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51048-2
Online ISBN: 978-3-540-46141-8
eBook Packages: Springer Book Archive