Summary: 3rd
Int. Symp. on Shallow Flows, Iowa City, USA, June 4 - 6, 2012
A Hamiltonian Boussinesq model with horizontally sheared currents
Elena Gagarina1
, Jaap van der Vegt, Vijaya Ambati, and Onno Bokhove2
Department of Applied Mathematics,
University of Twente, Enschede, Netherlands
1
Email: e.gagarina@utwente.nl
2
Email: o.bokhove@math.utwente.nl
Abstract
We are interested in the numerical modeling of wave-current interactions around beaches'
surf zones. Any model to predict the onset of wave breaking at the breaker line needs to
capture both the nonlinearity of the wave and its dispersion. We have formulated the
Hamiltonian dynamics of a new water wave model. This model incorporates both the shallow
water model and the potential flow model as limiting systems. The variational model derived
by Cotter and Bokhove (2010) is such a model, but the variables used have been difficult to
work with. Our new model has a three­dimensional velocity field consisting of the full three­
dimensional potential field plus horizontal velocity components, such that the vertical

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

Collections: Engineering