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

Authors

Flávio Luiz Cardoso-Ribeiro, Denis Matignon, Valérie Pommier-Budinger

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

Citation

• Journal: IMA Journal of Mathematical Control and Information
• Year: 2020
• Volume: 37
• Issue: 4
• Pages: 1348–1366
• Publisher: Oxford University Press (OUP)
• DOI: 10.1093/imamci/dnaa016

BibTeX

@article{Cardoso_Ribeiro_2020,
  title={{Port-Hamiltonian model of two-dimensional shallow water equations in moving containers}},
  volume={37},
  ISSN={1471-6887},
  DOI={10.1093/imamci/dnaa016},
  number={4},
  journal={IMA Journal of Mathematical Control and Information},
  publisher={Oxford University Press (OUP)},
  author={Cardoso-Ribeiro, Flávio Luiz and Matignon, Denis and Pommier-Budinger, Valérie},
  year={2020},
  pages={1348--1366}
}

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