Two types of wave-current interactions and their effects on extreme waves in directional seas
The nonlinear wave-current interactions can influence and change extreme wave
probability, spectral characteristics, and average shape of extreme waves significantly …
probability, spectral characteristics, and average shape of extreme waves significantly …
The cubic vortical Whitham equation
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 …
current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whitham …
Dispersive wave focusing on a shear current: Part 1—Linear approximations
We consider the evolution and kinematics during dispersive focussing, for a group of waves
propagating atop currents varying with depth. Our analysis assumes long-crested linear …
propagating atop currents varying with depth. Our analysis assumes long-crested linear …
Solitary wave interactions in the Cubic Whitham equation
The vortical Whitham equation is modeled with quadratic and cubic nonlinearity, satisfying
the unidirectional dispersion relation used to describe the propagation of nonlinear waves in …
the unidirectional dispersion relation used to describe the propagation of nonlinear waves in …
Propagation characteristics of tsunami waves in shear flow based on the Boussinesq model with constant vorticity
Propagation of tsunami wave in linear shear flow with constant vorticity is studied in this
paper. The nonlinear and dispersive Boussinesq equations for water waves in shear flow …
paper. The nonlinear and dispersive Boussinesq equations for water waves in shear flow …
Nonlinear water waves in shallow water in the presence of constant vorticity: A Whitham approach
C Kharif, M Abid - European Journal of Mechanics-B/Fluids, 2018 - Elsevier
Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared
current of constant vorticity are considered. Using Euler equations, in the shallow water …
current of constant vorticity are considered. Using Euler equations, in the shallow water …
Features of the interaction of paired solitary waves with the Cubic Vortical Whitham equation
In this article, we consider the cubic vortical Whitham equation with both positive and
negative nonlinearity to investigate overtaking solitary wave collisions. We compute solitary …
negative nonlinearity to investigate overtaking solitary wave collisions. We compute solitary …
Wave evolution within the Cubic Vortical Whitham equation
In this work, we study the evolution of disturbances within the framework of the Cubic
Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic …
Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic …
On extreme waves in directional seas with presence of oblique current
This paper will address two questions: i) How the fully nonlinear wave-current interactions
modify the extreme wave statistics, spectrum characteristics and average shape of extreme …
modify the extreme wave statistics, spectrum characteristics and average shape of extreme …
On the breaking inception of unsteady water wave packets evolving in the presence of constant vorticity
The recent numerical study of Barthelemy et al.(J. Fluid Mech., vol. 841, 2018, pp. 463–488)
investigated the local properties of two-dimensional (2-D) and three-dimensional (3-D) …
investigated the local properties of two-dimensional (2-D) and three-dimensional (3-D) …