EGU Journal Logos (RGB) Open Access Open Access Open Access Nonlin. Processes Geophys., 20, 483–500, 2013 Advanceswww.nonlin-processes-geophys.net/20/483/2013/ in Annales Nonlinear Processes doi:10.5194/npg-20-483-2013 Geosciences© Author(s) 2013. CC AttributionGeophysicae 3.0 License. in Geophysics Open Access Open Access Natural Hazards Natural Hazards and Earth System and Earth System Sciences Sciences Horizontal circulation and jumpsDiscussions in Hamiltonian wave models Open Access Open Access Atmospheric Atmospheric E. Gagarina1, J. van der Vegt1, and O. Bokhove1,2 Chemistry Chemistry 1Department of Applied Mathematics, University of Twente, Enschede, the Netherlands and Physics2School of Mathematics, University of Leeds,and Leeds, Physics UK Discussions Open Access CorrespondenceOpen Access to: O. Bokhove (
[email protected]) Atmospheric Atmospheric Received: 10 January 2013 – Revised: 16 May 2013 – Accepted: 17 May 2013 – Published: 12 July 2013 Measurement Measurement Techniques Techniques Abstract. We are interested in the modelling of wave-current cal model that can predict the onset of wave breaking at the Discussions interactions around surf zones at beaches. Any model that breaker line will need to capture both the nonlinearity of the Open Access Open Access aims to predict the onset of wave breaking at the breaker line waves and their dispersion. Moreover the model has to in- needs to capture both the nonlinearity of the wave and its dis- clude vorticity effects to simulate wave–current interactions. Biogeosciences Biogeosciences persion. We have therefore formulated the HamiltonianDiscussions dy- Various mathematical models are used to describe water namics of a new water wave model, incorporating both the waves.