Port-Hamiltonian discretization for open channel flows

R. Pasumarthy; V.R. Ambati; A.J. van der Schaft

doi:10.1016/j.sysconle.2012.05.003

Port-Hamiltonian discretization for open channel flows

R. Pasumarthy^*, V.R. Ambati, A.J. van der Schaft

^*Corresponding author for this work

Systems, Control and Applied Analysis

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

A finite-dimensional Port-Hamiltonian formulation for the presented. A numerical scheme based on this formulation is shallow water equations. The scheme is verified against conservation of mass and energy to the discrete level. dynamics of smooth open channel flows is developed for both the linear and nonlinear exact solutions and has the advantage of (c) 2012 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	950-958
Number of pages	9
Journal	Systems & Control Letters
Volume	61
Issue number	9
DOIs	https://doi.org/10.1016/j.sysconle.2012.05.003
Publication status	Published - Sept-2012

Keywords

Shallow water equations
Port-Hamiltonian
Stokes-Dirac structure
Numerical discretization
SHALLOW-WATER FLOWS
EQUATIONS
FLUID
SYSTEMS
SCHEME

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title = "Port-Hamiltonian discretization for open channel flows",

abstract = "A finite-dimensional Port-Hamiltonian formulation for the presented. A numerical scheme based on this formulation is shallow water equations. The scheme is verified against conservation of mass and energy to the discrete level. dynamics of smooth open channel flows is developed for both the linear and nonlinear exact solutions and has the advantage of (c) 2012 Elsevier B.V. All rights reserved.",

keywords = "Shallow water equations, Port-Hamiltonian, Stokes-Dirac structure, Numerical discretization, SHALLOW-WATER FLOWS, EQUATIONS, FLUID, SYSTEMS, SCHEME",

author = "R. Pasumarthy and V.R. Ambati and Schaft, {A.J. van der}",

note = "Relation: http://www.rug.nl/fmns-research/bernoulli/index Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2012",

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doi = "10.1016/j.sysconle.2012.05.003",

language = "English",

volume = "61",

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journal = "Systems & Control Letters",

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T1 - Port-Hamiltonian discretization for open channel flows

AU - Pasumarthy, R.

AU - Ambati, V.R.

AU - Schaft, A.J. van der

N1 - Relation: http://www.rug.nl/fmns-research/bernoulli/index Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2012/9

Y1 - 2012/9

N2 - A finite-dimensional Port-Hamiltonian formulation for the presented. A numerical scheme based on this formulation is shallow water equations. The scheme is verified against conservation of mass and energy to the discrete level. dynamics of smooth open channel flows is developed for both the linear and nonlinear exact solutions and has the advantage of (c) 2012 Elsevier B.V. All rights reserved.

AB - A finite-dimensional Port-Hamiltonian formulation for the presented. A numerical scheme based on this formulation is shallow water equations. The scheme is verified against conservation of mass and energy to the discrete level. dynamics of smooth open channel flows is developed for both the linear and nonlinear exact solutions and has the advantage of (c) 2012 Elsevier B.V. All rights reserved.

KW - Shallow water equations

KW - Port-Hamiltonian

KW - Stokes-Dirac structure

KW - Numerical discretization

KW - SHALLOW-WATER FLOWS

KW - EQUATIONS

KW - FLUID

KW - SYSTEMS

KW - SCHEME

U2 - 10.1016/j.sysconle.2012.05.003

DO - 10.1016/j.sysconle.2012.05.003

M3 - Article

SN - 0167-6911

VL - 61

SP - 950

EP - 958

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 9

ER -

Port-Hamiltonian discretization for open channel flows

Abstract

Keywords

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