Zobrazeno 1 - 10
of 341
pro vyhledávání: '"Carter, John D"'
Publikováno v:
J. Fluid Mech. 996 (2024) A42
The Whitham equation is a nonlocal, nonlinear partial differential equation that models the temporal evolution of spatial profiles of surface displacement of water waves. However, many laboratory and field measurements record time series at fixed spa
Externí odkaz:
http://arxiv.org/abs/2402.14643
Autor:
Carter, John D.
The Whitham equation is a model for the evolution of small-amplitude, unidirectional waves of all wavelengths on shallow water. It has been shown to accurately model the evolution of waves in laboratory experiments. We compute $2\pi$-periodic traveli
Externí odkaz:
http://arxiv.org/abs/2308.06583
The Whitham equation is a model for the evolution of surface waves on shallow water that combines the unidirectional linear dispersion relation of the Euler equations with a weakly nonlinear approximation based on the KdV equation. We show that large
Externí odkaz:
http://arxiv.org/abs/2306.11889
The cubic-vortical Whitham equation is a model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whitham equation by allowing constant vorticity and by adding a cubic nonli
Externí odkaz:
http://arxiv.org/abs/2110.02072
When a mechanical wavemaker at one end of a water-wave tank oscillates with a frequency, $\omega_0$, time series of downstream surface waves typically include the dominant frequency (or first harmonic), $\omega_0$, along with the second, $2\omega_0$;
Externí odkaz:
http://arxiv.org/abs/2008.09715
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 fro
Externí odkaz:
http://arxiv.org/abs/2007.01909
Autor:
Zaug, Camille R., Carter, John D.
Ocean swell plays an important role in the transport of energy across the ocean, yet its evolution is still not well understood. In the late 1960s, the nonlinear Schr{\"o}dinger (NLS) equation was derived as a model for the propagation of ocean swell
Externí odkaz:
http://arxiv.org/abs/2005.06635
Autor:
Carter, John D., Rozman, Morgan
Recently, the Whitham and capillary-Whitham equations were shown to accurately model the evolution of surface waves on shallow water. In order to gain a deeper understanding of these equations, we compute periodic, traveling-wave solutions to both an
Externí odkaz:
http://arxiv.org/abs/1901.11445
Frequency downshift (FD) in wave trains on deep water occurs when a measure of the frequency, typically the spectral peak or the spectral mean, decreases as the waves travel down a tank or across the ocean. Many FD models rely on wind or wave breakin
Externí odkaz:
http://arxiv.org/abs/1809.09536
The nonlinear Schrodinger equation is well known as a universal equation in the study of wave motion. In the context of wave motion at the free surface of an incompressible fluid, the equation accurately predicts the evolution of modulated wave train
Externí odkaz:
http://arxiv.org/abs/1809.08494