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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
Abstract
We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem. The horizontal profile is defined by a coupled KdV system which is numerically solved via a finite-difference scheme for which we prove the convergence and stability. Together with the solution of the Sturm-Liouville problem, the stream functions give the internal waves profile.
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Authors (3)
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Ahmed Halim
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Sergei Kshevetskii
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
International Journal of Mathematics and Mathematical Sciences
no. 2003,
pages 3979 - 3993,
ISSN: 0161-1712 - Language:
- English
- Publication year:
- 2004
- Bibliographic description:
- Halim A., Kshevetskii S., Leble S.: Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system// International Journal of Mathematics and Mathematical Sciences. -Vol. 2003., (2004), s.3979-3993
- DOI:
- Digital Object Identifier (open in new tab) 10.1155/s0161171203212242
- Verified by:
- Gdańsk University of Technology
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