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Article information
2006 , Volume 11, Special issue, p.92-99
Shokin Y.I., Khakimzyanov G.S.
Predictor-corrector scheme preserving hydraulic jump
An explicit predictor-corrector difference scheme of the second order of approximation for solution of the one-dimensional nonlinear shallow water equations is considered, which yields nonoscillatory profiles of numerical solutions under the special choice of approximating viscosity. It is shown that the considered scheme preserves a stationary hydraulic jump for calculations using a uniform grid, and it preserves a moving jump when adaptive grids are used.
[full text] Author(s):
Shokin Yuriy Ivanovich
Dr. , Academician RAS, Professor
Position: Scientific Director of the Institute
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 334 91 10
E-mail: shokin@ict.nsc.ru
SPIN-code: 6442-4180Khakimzyanov Gayaz Salimovich
Dr. , 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 86 56
E-mail: khak@ict.nsc.ru
SPIN-code: 3144-0877
Bibliography link:
Shokin Y.I., Khakimzyanov G.S. Predictor-corrector scheme preserving hydraulic jump // Computational technologies. 2006. V. 11. Special issue, devoted to N.N. Yanenko's 85-th anniversary, part 2. P. 92-99
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