Port-Hamiltonian discretization for open channel flows

R.P. Ramkrishna Pasumarthy; V.R. Ambati; Arjan van der Schaft

Port-Hamiltonian discretization for open channel flows

R.P. Ramkrishna Pasumarthy, V.R. Ambati, Arjan van der Schaft

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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 of mass and energy to the discrete level.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente
Number of pages	20
Publication status	Published - Nov 2010

Publication series

Name	Memorandum / Department of Applied Mathematics
Publisher	Department of Applied Mathematics, University of Twente
No.	1927
ISSN (Print)	1874-4850
ISSN (Electronic)	1874-4850

Keywords

MSC-83C55
METIS-275679
Stokes-Dirac Structure
Port-Hamiltonian
Numerical Discretization
Shallow water equations
EWI-18651
IR-74095

Access to Document

http://math.utwente.nl/publications

Cite this

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AU - van der Schaft, Arjan

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N2 - 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.

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KW - Stokes-Dirac Structure

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KW - Numerical Discretization

KW - Shallow water equations

KW - EWI-18651

KW - IR-74095

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BT - Port-Hamiltonian discretization for open channel flows

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