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Article information
2000 , Volume 5, ¹ 5, p.86-107
Chirkov D.V., Chernyi S.G.
Comparison of accuracy and convergence rate of some TVD-schemes
Versions and modifications of the upstream schemes suggested by Harten, Yee and Chakravarthy have been considered. An attempt to employ a unified approach to Chakra-varthy's principle of the TVD-schemes construction and to the systematization of the well-known limiter functions has been made. One of the main objectives of this study is to investigate the applicability of the TVD-algorithms to the solution of stationary problems using the relaxation method. It is shown that those TVD-schemes which have the highest accuracy of discontinuity representation cannot provide the residual convergence to the macine zero. The optimum choice combining satisfactory accuracy with the high rate of convergence is Chakravarthy's scheme with Van Leer's limiter.
[full text] Classificator Msc2000:- *76M20 Finite difference methods
Keywords: explicit scheme, implicit scheme, accuracy of a scheme, rate of convergence, Chakravarthys scheme with Van Leers limiter
Author(s):
Chirkov D.V.
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentjev Ave. 6,
Phone Office: (3832)342373
E-mail: cher@adm.ict.nsc.ru
Chernyi Sergey Grigorevich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentjev Ave. 6,
Phone Office: (383) 330 73 73
E-mail: cher@ict.nsc.ru
Bibliography link:
Chirkov D.V., Chernyi S.G. Comparison of accuracy and convergence rate of some TVD-schemes // Computational technologies. 2000. V. 5. ¹ 5. P. 86-107
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