A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach

Author

Pasumarthy, Ramkrishna ; Van der Schaft, Arjan

Author_Institution

Fac. of Electr. Eng., Math. & Comput. Sci., Twente Univ., Enschede

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

3984

Lastpage

3989

Abstract

We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing an infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations

Keywords

approximation theory; computational fluid dynamics; distributed parameter systems; flow; multidimensional systems; distributed parameter port-Hamiltonian system; finite dimensional approximation; finite element approximation; geometric variables; infinite-dimensional system; nonconstant Stokes-Dirac structure; shallow water equations; Boundary conditions; Control systems; Distributed parameter systems; Finite element methods; Mathematics; Maxwell equations; Power system interconnection; Power transmission lines; Transmission line theory; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377022

Filename

4177999