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Summary: Port-Hamiltonian Discretization for Open
Channel Flows
R. Pasumarthy
p.ramkrishna@bits-hyderabad.ac.in
Department of Electrical Engineering,
Birla Institute of Technology and Science Hyderabad, India.
V.R. Ambati
v.r.ambati@math.utwente.nl
Numerical Analysis and Computational Mechanics Group,
Department of Applied Mathematics, University of Twente, The Netherlands.
A.J. van der Schaft
a.j.van.der.schaft@rug.nl
Johann Bernoulli Institute for Mathematics and Computer Science,
University of Groningen, The Netherlands.
October 28, 2010
Abstract
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
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