Port-Hamiltonian model of two-dimensional shallow water equations in moving containers

Author:

Cardoso-Ribeiro Flávio Luiz1,Matignon Denis2,Pommier-Budinger Valérie2

Affiliation:

1. Instituto Tecnológico de Aeronáutica, São José dos Campos, Brazil

2. ISAE-SUPAERO - Université de Toulouse, Toulouse, France

Abstract

Abstract The free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs). The port-Hamiltonian systems formulation is a powerful tool that can be used for modeling complex systems in a modular way. In this work, we extend previous work on SWEs using the port-Hamiltonian formulation, by considering the two-dimensional equations under rigid body motions. The resulting equations consist of a mixed-port-Hamiltonian system, with finite and infinite-dimensional energy variables and ports. 2000 Math Subject Classification: 34K30, 35K57, 35Q80, 92D25

Funder

French National Research Agency

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Reference40 articles.

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