60 citations · 215 across the 8 of their papers we have counts for
8 papers · 1 filter
On coupled envelope evolution equations in the Hamiltonian theory of nonlinear surface gravity waves
Yan Li
This paper presents a novel theoretical framework in the Hamiltonian theory of nonlinear surface gravity waves. The envelope of surface elevation and the velocity potential on the…
Statistics of weakly nonlinear waves on currents with strong vertical shear
Zibo Zheng, Yan Li, Simen Å Ellingsen
We investigate how the presence of a vertically sheared current affects wave statistics, including the probability of rogue waves, and apply it to a real-world case using measured…
A framework for modelling linear surface waves on shear currents in slowly varying waters
Yan Li, Simen Å. Ellingsen
We present a theoretical and numerical framework -- which we dub the Direct Integration Method (DIM) -- for simple, efficient and accurate evaluation of surface wave models allowin…
Approximate dispersion relations for waves on arbitrary shear flows
Simen Å. Ellingsen, Yan Li
An approximate dispersion relation is derived and presented for linear surface waves atop a shear current whose magnitude and direction can vary arbitrarily with depth. The approxi…
Transient wave resistance upon a real shear current
Yan Li, Benjamin K. Smeltzer, Simen Å. Ellingsen
We study the waves and wave-making forces acting on ships travelling on currents which vary as a function of depth. Our concern is realism; we consider a real current profile from…
Multiple resonances of a moving, oscillating surface disturbance on a shear current
Yan Li, Simen Å. Ellingsen
We consider waves radiated by a disturbance of oscillating strength moving at constant velocity along the free surface of a shear flow which, when undisturbed, has uniform horizont…
Ship waves on uniform shear current at finite depth: wave resistance and critical velocity
Yan Li, Simen Å. Ellingsen
We present a comprehensive theory for linear gravity-driven ship waves in the presence of a shear current with uniform vorticity, including the effects of finite water depth. The w…
Water Waves from General, Time-Dependent Surface Pressure Distribution in the Presence of a Shear Current
Yan Li, Simen Å. Ellingsen
We obtain a general solution for the water waves resulting from a general, time-dependent surface pressure distribution, in the presence of a shear current of uniform vorticity ben…