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Article information
2000 , Volume 5, ¹ 1, p.19-30
Barakhnin V.B., Karamyshev V.B., Borodkin N.V.
TVD scheme for dynamically adaptive grid
A second order approximation scheme for dynamically adaptive grids which is the generalization of Harten scheme is presented. We expose the conditions which guarantee that the scheme is TVD. The conditions which are sufficient to ensure that this scheme is TVD have been studied. The numerical tests of the scheme and the comparison of its characteristics with that of the explicit predictor-corrector scheme with self-adjusting approximate viscosity have been conducted.
[full text] Classificator Msc2000:- *76M20 Finite difference methods
Keywords: modified equidistribution method, monotonic scheme, generalized Harten scheme, second-order approximation scheme, dynamically adaptive grids, TVD scheme
Author(s):
Barakhnin Vladimir Borisovich
Dr. , Associate Professor
Position: Leading research officer
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (383) 330 78 26
E-mail: bar@ict.nsc.ru
SPIN-code: 1541-0448Karamyshev V B
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (3832)342373
E-mail: kary@net.ict.nsc.ru
Borodkin N V
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Pirogova, 2 str.
Bibliography link:
Barakhnin V.B., Karamyshev V.B., Borodkin N.V. TVD scheme for dynamically adaptive grid // Computational technologies. 2000. V. 5. ¹ 1. P. 19-30
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