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Conservative numerical schemes for the Ostrovsky equation

✍ Scribed by Takaharu Yaguchi; Takayasu Matsuo; Masaaki Sugihara

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
990 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

The Ostrovsky equation describes gravity waves under the influence of Coriolis force. It is known that solutions of this equation conserve the L 2 norm and an energy function that is determined non-locally. In this paper we propose four conservative numerical schemes for this equation: a finite difference scheme and a pseudospectral scheme that conserve the norm, and the same types of schemes that conserve the energy. A numerical comparison of these schemes is also provided, which indicates that the energy conservative schemes perform better than the norm conservative schemes.

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