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Article information
1996 , Volume 1, ¹ 3, p.8-20
Barakhnin V.B., Khakimzyanov G.S.
Numerical algorithm for some nonlinear-dispersive shallow water model
This paper describes a finite-difference algorithm for simulation of surface waves in frames of one nonlinear-dispersive model. The algorithm is based on the selection of elliptic and hyperbolic parts in the governing equations. For solution of elliptic equation
finite-difference scheme with self-adjoint and positively determined operator is constructed. The estimates for
its eigenvalues are derived.
[full text] Classificator Msc2000:- *65M06 Finite difference methods
- 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
- 76M20 Finite difference methods
Keywords: curvilinear mesh, Zeleznyak-Pelinovskij model, von Neumann problem
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: 1541-0448Khakimzyanov 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:
Barakhnin V.B., Khakimzyanov G.S. Numerical algorithm for some nonlinear-dispersive shallow water model // Computational technologies. 1996. V. 1. ¹ 3. P. 8-20
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