Abstract
By the aid of an idea of the weighted ENO schemes, some weight-type high-resolution difference schemes with different orders of accuracy are presented in this paper by using suitable weights instead of the minmod functions appearing in various TVD schemes. Numerical comparisons between the weighted schemes and the non-weighted schemes have been done for scalar equation, one-dimensional Euler equations, two-dimensional Navier-Stokes equations and parabolized Navier-Stokes equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Liu XD, Osher S, Chan T. Weighted essentially non-oscillatory schemes.J Comput Phys, 1994 115: 200–212
Jiang GS, Shu CW. Efficient implementation of weighted ENO schemes.J Comput Phys, 1996, 125: 202–228
Zhang Hanxin. Non-oscillatory and non-free-parameter dissipation difference scheme.Acta Aerodynamica Sinica, 1988, 6(2): 143–165 (in Chinese)
Zhang Hanxin, He Guohong, Zhang Lei. Some important problems for high-order accurate difference schemes for solving gas dynamic equations.Acta Aerodynamica Sinica, 1993, 11(4): 347–356 (in Chinese)
MacCormark RW. Numerical solution of the interaction of a shock wave with a laminar boundary layer. In: Lecture Notes in Physics. Ed. Maurice Holt, Berlin: Springer-Verlag, 1971, 8: 153–163
Wang Z, Richards BE. Higher resolution schemes for steady flow computation.J Comput Phys, 1991, 97: 53–72
Author information
Authors and Affiliations
Additional information
The project supported by the National Natural Science Foundation of China (19582007) and Partly by State Key Laboratory of Scientific/Engineering Computing.
Rights and permissions
About this article
Cite this article
Ruquan, W., Yiqing, S. Some weight-type high-resolution difference schemes and their applications. Acta Mech Sinica 15, 313–324 (1999). https://doi.org/10.1007/BF02487929
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487929