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Energy equation for certain approximate models of long-wave hydrodynamics
-
Zinaida I. Fedotova
und
Denys Dutykh
Veröffentlicht/Copyright:
28. Mai 2014
Abstract
A new derivation of completely nonlinear weakly-dispersive shallow water equations is given without assumption of flow potentiality. Boussinesq type equations are derived for weakly nonlinear waves above a moving bottom. It is established that the total energy balance condition holds for all nonlinear dispersion models obtained here.
Keywords: Conservative laws; ideal incompressible fluid; nonlinear dispersion equations; surface waves.
Published Online: 2014-5-28
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston
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- Masthead
- A polynomial algorithm for the quadratic programming problem
- A difference scheme for equations of ocean dynamics on unstructured grids
- Energy equation for certain approximate models of long-wave hydrodynamics
- Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. II. Algorithm applications and numerical results
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Schlagwörter für diesen Artikel
Conservative laws;
ideal incompressible fluid;
nonlinear dispersion equations;
surface waves.
Artikel in diesem Heft
- Masthead
- A polynomial algorithm for the quadratic programming problem
- A difference scheme for equations of ocean dynamics on unstructured grids
- Energy equation for certain approximate models of long-wave hydrodynamics
- Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. II. Algorithm applications and numerical results
- Simulation of a kink movement in homogeneous and heterogeneous DNA sequences taking into account the dissipation
