Port-Hamiltonian modeling of ideal fluid flow: Part II. Compressible and incompressible flow

Part I of this paper presented a systematic derivation the Stokes–Dirac structure underlying port-Hamiltonian model ideal fluid flow on Riemannian manifolds. Starting from group diffeomorphisms as configuration space for fluid, is derived by Poisson reduction and then augmented boundary ports distributed ports. The additional have been shown to appear naturally surface terms in pairings dual maps, always neglected standard Hamiltonian theory. corresponded only kinetic energy how its variables evolve such that conserved. In II, we utilize port system representing number fluid-dynamical systems. By adding internal compressible flow, both adiabatic isentropic, constraint forces incompressible flow. key tools used are interconnection maps relating dynamics motion advected quantities.