Summary: Port-Hamiltonian Discretization for Open
Department of Electrical Engineering,
Birla Institute of Technology and Science Hyderabad, India.
Numerical Analysis and Computational Mechanics Group,
Department of Applied Mathematics, University of Twente, The Netherlands.
A.J. van der Schaft
Johann Bernoulli Institute for Mathematics and Computer Science,
University of Groningen, The Netherlands.
October 28, 2010
A finite-dimensional Port-Hamiltonian formulation for the dynamics of smooth
open channel flows is presented. A numerical scheme based on this formulation
is developed for both the linear and nonlinear shallow water equations. The
scheme is verified against exact solutions and has the advantage of conservation