Abstract
A solution-adaptive local-refinement multigrid strategy previously developed for a simple-wave model of the Euler equations has been extended to two newly developed higher-order-accurate characteristic decomposition methods for the solution of steady inviscid compressible flows. Numerical results show that the new methodology provides a significant accuracy improvement with respect to the simple-wave approach, at the expense of a reduced multigrid convergence rate. While further improvements are warranted, the new method, thanks to its second-order spatial accuracy and very low entropy generation, appears to be well suitable for computing viscous flows.
Preview
Unable to display preview. Download preview PDF.
References
H. Deconinck et al.: CWI-Quarterly 6-1 1 (1993)
P. L. Roe: J. of Comp. Phys. 63 458 (1986)
H. Deconinck et al.: Lecture Notes in Physics 264 216 (1986)
R. Struijs et al.: VKI LS 1991-01 (1991)
A. Brandt: Lecture Notes in Mathematics 960 220 (1982)
L. A. Catalano, H. Deconinck: TN-173, von Karman Institute (1990)
L. A. Catalano et al.: Notes on Numerical Fluid Mechanics 35 69 (1992)
L. A. Catalano et al.: Lecture Notes in Physics 414 90 (1993)
L. A. Catalano et al.: 5th European Multigrid Conference, CWI (1993)
L. A. Catalano et al.: 5th ISCFD, Sendai (1993)
H. Paillére et al.: AIAA Paper 93-3301 (1993)
H. Deconinck et al.: VKI LS 1994-05 (1994)
P. W. Hemker et al.: Report NM-R9014 (1990)
L. A. Catalano et al.: AIAA Paper 94-0076 (1994)
R. Kiock et al.: J. Eng. for Gas Turbines and Power 108 277 (1986)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag
About this paper
Cite this paper
Catalano, L.A., De Palma, P., Paseazio, G., Napolitano, M. (1995). A higher-order multidimensional upwind solution-adaptive multigrid solver for compressible flows. In: Deshpande, S.M., Desai, S.S., Narasimha, R. (eds) Fourteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59280-6_129
Download citation
DOI: https://doi.org/10.1007/3-540-59280-6_129
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59280-8
Online ISBN: 978-3-540-49228-3
eBook Packages: Springer Book Archive