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.
|Number of pages||7|
|Early online date||19 Nov 2021|
|Publication status||Published - 2021|
|Event||7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Berlin, Germany|
Duration: 11 Oct 2021 → 13 Oct 2021
- Exterior calculus
- Vector calculus