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Article information
2010 , Volume 15, ¹ 6, p.19-41
Bautin S.P., Deryabin S.L., Sommer A.F., Khakimzyanov G.S.
Investigation of solutions of the shallow water equations in the vicinity of the mobile run-up line
Solutions of initial-boundary problems for the shallow water equations are constructed in the form of rows, which locally converge in the vicinity of the mobile dry-wet boundary for any bottom topography. The law of motion and the velocity of this boundary are defined for various conditions of wave-coast interaction. The obtained analytical results are used for development of new approximations of boundary conditions at the mobile run-up line. Results of the numerical solution of the test problems are presented. We use the second order explicit predictor-corrector scheme on the adaptive grids, which trace the position of the dry-wet boundary
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Keywords: run-up line, flat slope, irregular bottom, process of wash and backwash, shallow water equations, analytical solution, numerical modelling, finite-difference scheme, adaptive grid, numerical results
Author(s):
Bautin Sergey Petrovich
Dr. , Associate Professor
Position: Professor
Office: Snezhinsk Institute of Physics and Technology National Research Nuclear University MEPhI
Address: 456776, Russia, Snezhinsk, Komsomol str., 8
Phone Office: (343) 221 25 49
E-mail: SPBautin@mail.ru
SPIN-code: 4343-3821Deryabin Sergey Lvovich
Dr. , Professor
Position: Professor
Office: Ural state university of railway transport
Address: 620034, Russia, Ekaterinburg, Kolmogorov st., 66
Phone Office: (343)2-21-24-04
E-mail: SDeryabin@usurt.ru
Sommer Anna Fedorovna
Position: The master of mathematics
Address: 630090, Russia, Novosibirsk, Kolmogorov st., 66
E-mail: nisei@sibmail.ru
Khakimzyanov 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:
Bautin S.P., Deryabin S.L., Sommer A.F., Khakimzyanov G.S. Investigation of solutions of the shallow water equations in the vicinity of the mobile run-up line // Computational technologies. 2010. V. 15. ¹ 6. P. 19-41
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