000014792 001__ 14792
000014792 005__ 20161115100202.0
000014792 04107 $$aeng
000014792 046__ $$k2016-08-21
000014792 100__ $$aClamond, Didier
000014792 24500 $$aDispersion-improved fully nonlinear shallow water model

000014792 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014792 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014792 506__ $$arestricted
000014792 520__ $$2eng$$aWe propose a variant of the fully-nonlinear weakly-dispersive Serre–Green–Naghdi equations involving a free parameter that can be chosen to improve the dispersion properties. Contrary to other models of this kind found in the literature, the one proposed here conserves the energy, thanks to the approximation procedure based on a variational principle. In addition to improved dispersion properties, the new model admits limiting waves with angular crests. Numerical comparisons with the Euler equations show that the new model is substantially more accurate than the classical Serre equations, specially for long time simulations and for large amplitudes.

000014792 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014792 653__ $$a

000014792 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014792 720__ $$aClamond, Didier
000014792 8560_ $$ffischerc@itam.cas.cz
000014792 8564_ $$s94675$$uhttps://invenio.itam.cas.cz/record/14792/files/TS.FM16-3.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1612, code TS.FM16-3.04
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000014792 962__ $$r13812
000014792 980__ $$aPAPER