Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation

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.

To cite this paper:
Haine Ghislain, Matignon Denis (2018) Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation. IFAC-PapersOnLine 54(19):161–166. Berlin, Germany.

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