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 language | English |
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Pages (from-to) | 173-179 |
Number of pages | 7 |
Journal | IFAC-papersonline |
Volume | 54 |
Issue number | 19 |
Early online date | 19 Nov 2021 |
DOIs | |
Publication status | Published - 2021 |
Event | 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Technische Universität Berlin, campus Charlottenburg, Berlin, Germany Duration: 11 Oct 2021 → 13 Oct 2021 Conference number: 7 |
Keywords
- Exterior calculus
- Navier-Stokes
- Port-Hamiltonian
- Vector calculus