Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid

Authors

Markus Lohmayer, Sigrid Leyendecker

Abstract

The Exergetic Port-Hamiltonian Systems modeling language combines a graphical syntax inspired by bond graphs with a port-Hamiltonian semantics akin to the GENERIC formalism. The syntax enables the modular and hierarchical specification of the composition pattern of lumped and distributed-parameter models. The semantics reflects the first and second law of thermodynamics as structural properties. Interconnected and hierarchically defined models of multiphysical thermodynamic systems can thus be expressed in a formal language accessible to humans and computers alike. We discuss a composed model of the Navier-Stokes-Fourier fluid on a fixed spatial domain as an example of an open distributed-parameter system. At the top level, the system comprises five subsystems which model kinetic energy storage, internal energy storage, thermal conduction, bulk viscosity, and shear viscosity.

Keywords

port-Hamiltonian systems; geometric fluid mechanics; thermodynamics; exergy; compositionality; bond graphs; GENERIC; exterior calculus

Citation

• Journal: IFAC-PapersOnLine
• Year: 2022
• Volume: 55
• Issue: 18
• Pages: 74–80
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2022.08.033
• Note: 4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory TFMST 2022- Montreal, Canada, 25–27 July 2022

BibTeX

@article{Lohmayer_2022,
  title={{Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid}},
  volume={55},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2022.08.033},
  number={18},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Lohmayer, Markus and Leyendecker, Sigrid},
  year={2022},
  pages={74--80}
}

Download the bib file

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