Exterior and vector calculus views of incompressible Navier-Stokes port-Hamiltonian models

Ramy Rashad*, Federico Califano, Andrea Brugnoli, Frederic P. Schuller, Stefano Stramigioli

*Corresponding author for this work

Research output: Contribution to journalConference articleAcademicpeer-review

1 Citation (Scopus)
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Abstract

In this paper we address the modeling of incompressible Navier-Stokes equations in the port-Hamiltonian framework. Such model not only allows describing the energy dissipation due to viscous effects but also incorporates the non-zero energy exchange through the boundary of the spatial domain for generic boundary conditions. We present in this work the coordinate-free representations of this port-Hamiltonian model using both exterior calculus and vector calculus as well as their corresponding coordinate-based descriptions.

Original languageEnglish
Pages (from-to)173-179
Number of pages7
JournalIFAC-papersonline
Volume54
Issue number19
Early online date19 Nov 2021
DOIs
Publication statusPublished - 2021
Event7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Technische Universität Berlin, campus Charlottenburg, Berlin, Germany
Duration: 11 Oct 202113 Oct 2021
Conference number: 7

Keywords

  • Exterior calculus
  • Navier-Stokes
  • Port-Hamiltonian
  • Vector calculus

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