30 citations · 134 across the 13 of their papers we have counts for
3 papers · 1 filter
A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids
Federico Califano, Ramy Rashad, Stefano Stramigioli
A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical…
Geometric and energy-aware decomposition of the Navier-Stokes equations: A port-Hamiltonian approach
Federico Califano, Ramy Rashad, Frederic P. Schuller +1
A port-Hamiltonian model for compressible Newtonian fluid dynamics is presented in entirely coordinate-independent geometric fashion. This is achieved by use of tensor-valued diffe…
Port-Hamiltonian Modeling of Ideal Fluid Flow: Part II. Compressible and Incompressible Flow
Ramy Rashad, Federico Califano, Frederic P. Schuller +1
Part I of this paper presented a systematic derivation of the Stokes Dirac structure underlying the port-Hamiltonian model of ideal fluid flow on Riemannian manifolds. Starting fro…