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Article information
2012 , Volume 17, ¹ 5, p.94-108
Fedotova Z.I., Khakimzyanov G.S.
On analysis of conditions for derivation of nonlinear-dispersive equations
Under weaker than in the paper by Green A.E., Naghdi P.M. (J. Fluid Mech. 1976) restrictions on the velocity of a three-dimensional vortex fluid flow above a moving bottom , nonlinear dispersive shallow water equations are derived for an asymptotic description of flows with a free boundary. Orders of approximation for the basic hydrodynamic quantities and equations, appeared in the reduction of the 3D-model to an approximate model, are determined. The laws of change for the total energy and ?the potential vortex in the obtained nonlinear dispersive model are found.
[full text]
Keywords: surface waves on water, nonlinear dispersive models, vorticity, approximation
Author(s):
Fedotova Zinaida Ivanovna
PhD.
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Lavrentiev ave. 6
Phone Office: (383) 334-91-21
E-mail: zf@ict.nsc.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:
Fedotova Z.I., Khakimzyanov G.S. On analysis of conditions for derivation of nonlinear-dispersive equations // Computational technologies. 2012. V. 17. ¹ 5. P. 94-108
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