no code implementations • 3 Dec 2020 • Ramy Rashad, Federico Califano, Frederic P. Schuller, Stefano Stramigioli
Starting from the group of diffeomorphisms as a configuration space for the fluid, the Stokes Dirac structure is derived by Poisson reduction and then augmented by boundary ports and distributed ports.
Fluid Dynamics Mathematical Physics Differential Geometry Mathematical Physics
no code implementations • 3 Dec 2020 • Ramy Rashad, Federico Califano, Frederic P. Schuller, Stefano Stramigioli
In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie-Poisson structures to a port-Hamiltonian model in terms of Stokes-Dirac structures.
Differential Geometry Mathematical Physics Mathematical Physics Fluid Dynamics
