| Wed June 23rd 2021 16:00 – 17:00 Online | Seminar | Port-based Hamiltonian modelling of the Navier-Stokes equations, a new open way to describe fluids and fluid solid interaction Stefano Stramigioli |
Details:Hamiltonian systems are fundamental in physics, but they are only able to describe closed and conservative systems. port-Hamiltonian systems on the other hand are far more general and able to discuss any kind of physical system, lamped or not, including for example Navier Stokes equations. Such a methodology is able to show the energetical structure of the equations and also can be extended to Fourier Navier Stokes equations and the nicest thing is that the description has open boundaries, which means it can be used to couple these PDEs to other domains like for example a solid moving in the fluid. The all theory is based on the tools of exterior calculus, but the conceptual ideas and power of the methodology can be explained in intuitive terms via the introduction of the concept of power ports which embody the natural duality in all physical domains, and that will be the goal of the seminar. | ||
