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Fully dispersive Boussinesq models with uneven bathymetry

Authors: John D. Carter; Evgueni Dinvay; Henrik Kalisch;

Fully dispersive Boussinesq models with uneven bathymetry

Abstract

Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerical solutions of all three are compared with wave gauge measurements from a series of laboratory experiments conducted by Dingemans. The results show that although the models are mathematically similar, their accuracy varies dramatically.

Keywords

Water waves, gravity waves; dispersion and scattering, nonlinear interaction, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, fully dispersive, Physics - Fluid Dynamics, Experimental comparisons, PDEs in connection with fluid mechanics, Fully dispersive, Experimental work for problems pertaining to fluid mechanics, Whitham equation, Seamount, seamount, Witham equation, experimental comparisons, Numerical methods for discrete and fast Fourier transforms

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    3
    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
bronze