100 citations · 342 across the 23 of their papers we have counts for
12 papers · 1 filter
Identification of wave breaking from nearshore wave-by-wave records
Karoline Holand, Henrik Kalisch, Maria Bjørnestad +7
Using data from a recent field campaign, we evaluate several breaking criteria with the goal of assessing the accuracy of these criteria in wave breaking detection. Two new criteri…
The superharmonic instability and wave breaking in Whitham equations
John D. Carter, Marc Francius, Christian Kharif +2
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…
The Cubic Vortical Whitham Equation
John D. Carter, Henrik Kalisch, Christian Kharif +1
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 Whith…
A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling
Martin O. Paulsen, Henrik Kalisch
In this article we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg-de Vries (KdV) equation. These quantities can be used…
Fully dispersive Boussinesq models with uneven bathymetry
John D. Carter, Evgueni Dinvay, Henrik Kalisch
Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerica…
The Whitham Equation with Surface Tension
Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh +1
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian syst…
Particle trajectories in nonlinear Schrodinger models
John D. Carter, Christopher W. Curtis, Henrik Kalisch
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,…
Shallow Water Dynamics on Linear Shear Flows and Plane Beaches
Maria Bjørnestad, Henrik Kalisch
Long waves in shallow water propagating over a background shear flow towards a sloping beach are being investigated. The classical shallow-water equations are extended to incorpora…
Convective Wave Breaking in the KdV Equation
Mats K. Brun, Henrik Kalisch
The KdV equation is a model equation for waves at the surface of an inviscid incompressible fluid, and it is well known that the equation describes the evolution of unidirectional…
Mechanical balance laws for fully nonlinear and weakly dispersive water waves
Henrik Kalisch, Zahra Khorsand, Dimitrios Mitsotakis
The Serre-Green-Naghdi system is a coupled, fully nonlinear system of dispersive evolution equations which approximates the full water wave problem. The system is an extension of t…
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev, Henrik Kalisch, Denys Dutykh
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…
A Kinematic Conservation Law in Free Surface Flow
Sergey Gavrilyuk, Henrik Kalisch, Zahra Khorsand
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the surface of a shallow layer of a perfect fluid. The system has three associated…