33 citations · 129 across the 14 of their papers we have counts for
17 papers
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…
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations
John Carter, Daozhi Han, Nan Jiang
We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coefficient matrices across different realizations for the magnetohydrodynamics equatio…
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…
On the variation of of bi-periodic waves in the transverse direction
D. M. Henderson, J. D. Carter, M. E. Catalano
Bi-periodic patterns of waves that propagate in the x direction with amplitude variation in the y direction are generated in a laboratory. The amplitude variation in the y directio…
Modeling the Second Harmonic in Surface Water Waves Using Generalizations of NLS
Hannah Potgieter, John D. Carter, Diane M. Henderson
When a mechanical wavemaker at one end of a water-wave tank oscillates with a frequency, , time series of downstream surface waves typically include the dominant frequency (or…
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…