
arXiv: 2007.01909
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.
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
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
| 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). | 3 | |
| 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. | 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). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
