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 of mass and energy to the discrete level. © 2012 Elsevier B.V. All rights reserved.

Ramkrishna Pasumarthy

Department of Electrical Engineering

Conservation of mass

DISCRETE LEVELS

Discretizations

Exact solution

NON-LINEAR SHALLOW WATER EQUATIONS

NUMERICAL DISCRETIZATION

Numerical scheme

PORT-HAMILTONIAN

Shallow water equations

STOKES-DIRAC STRUCTURE

Equations of motion

Hamiltonians

Fulltext

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Journal	Systems and Control Letters
ISSN	01676911
Open Access	No