Blar i Bergen Open Research Archive på forfatter "Kalisch, Henrik"

Derivation of Boussinesq's shoaling law using a coupled BBM system
Kalisch, Henrik; Senthilkumar, Amutha (Peer reviewed; Journal article, 20130314)This paper is focused on finding rules for waveheight change in a solitary wave as it runs up a slowly increasing bottom. A coupled BBM system is used to describe the solitary waves. Expressions for energy density and ... 
Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
Kalisch, Henrik; Mitrovic, Darko; Teyekpiti, Vincent (Peer reviewed; Journal article, 20181030) 
Laboratory Experiments on Internal Solitary Waves in IceCovered Waters
Carr, Magda; Sutherland, P.; Haase, A.; Evers, K.U.; Fer, Ilker; Jensen, Atle; Kalisch, Henrik; Berntsen, Jarle; Parau, E.; Thiem, Ø.; Davies, P.A. (Peer reviewed; Journal article, 2019)Internal solitary waves (ISWs) propagating in a stably stratified two‐layer fluid in which the upper boundary condition changes from open water to ice are studied for grease, level, and nilas ice. The ISW‐induced current ... 
Nonstandard shocks in the BuckleyLeverett equation
Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin (Peer reviewed; Journal article, 201508)It is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct nonmonotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a ... 
Numerical bifurcation for the capillary Whitham equation
Remonato, Filippo; Kalisch, Henrik (Journal article, 201703)The socalled Whitham equation arises in the modeling of free surface water waves, and combines a generic nonlinear quadratic term with the exact linear dispersion relation for gravity waves on the free surface of a fluid ... 
A numerical study of nonlinear dispersive wave models with SpecTraVVave
Kalisch, Henrik; Moldabayev, Daulet; Verdier, Olivier (Peer reviewed; Journal article, 20170302)In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of ... 
On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
Ali, Alfatih Mohammed A.; Kalisch, Henrik (Peer reviewed; Journal article, 201410)The Kortewegde Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation describe the ... 
On the shoaling of solitary waves in the KdV equation
Khorsand, Zahra; Kalisch, Henrik (Conference object; Peer reviewed, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Kortewegde Vries equation, a system of three ... 
PDE Based Algorithms for Smooth Watersheds
Hodneland, Erlend; Tai, XueCheng; Kalisch, Henrik (Peer reviewed; Journal article, 201604)Watershed segmentation is useful for a number of image segmentation problems with a wide range of practical applications. Traditionally, the tracking of the immersion front is done by applying a fast sorting algorithm. In ... 
The Whitham Equation as a model for surface water waves
Moldabayev, Daulet; Kalisch, Henrik; Dutykh, Denys (Peer reviewed; Journal article, 201508)The Whitham equation was proposed as an alternate model equation for the simplified description of unidirectional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ...