Haine, Ghislain
and Matignon, Denis
Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation.
(2021)
In: Lagrangian and Hamiltonian Methodes for Nonlinear Control (7th LHMNC 2021), 11 October 2021 - 13 October 2021 (Berlin, Germany).
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 422kB |
Abstract
Starting from the description of the isentropic compressible viscous fluid as port-Hamiltonian system in [Mora & al., 2020], the special cases of irrotational or incompressible cases in 2D or 3D are investigated. For the incompressible fluid, the non-linear Navier-Stokes equations are first presented with velocity as energy variable, then analyzed as a modulated port-Hamiltonian system with the help of the vorticity as energy variable. Finally, the structure- preserving numerical scheme provided by the Partitioned Finite Element Method (PFEM) of [Serhani & al., 2019] is applied to the incompressible dissipative fluid in 2D.
| Item Type: | Invited Conference |
|---|---|
| Additional Information: | vol.54, n°19 |
| Audience (conference): | International conference proceedings |
| Uncontrolled Keywords: | |
| Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
| Laboratory name: | |
| Funders: | INFIDHEM n ◦ ANR-16-CE92-0028 (http://websites.isae.fr/infidhem) |
| Statistics: | download |
| Deposited On: | 20 Sep 2021 14:03 |
Repository Staff Only: item control page
