Discontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems C. Eskilsson 1 and S.J. Sherwin 2,* 1 Water Environment Transport Chalmers University of Technology SE-412 96 G¨ oteborg, Sweden Email: claes.eskilsson@wet.chalmers.se 2 Department of Aeronautics Imperial College London London SW7 2AZ, UK Email: s.sherwin@imperial.ac.uk Tel: +44 (0)20 7594 5052 Fax: +44 (0)20 7584 8120 * corresponding author 1