Modelling the 1D piston problem as interconnected port-Hamiltonian systems

In this study, the modelling of the boundary-controlled 1D piston problem as the interconnection of simpler port-Hamiltonian systems (pHs) is addressed. More precisely, two viscous compressible fluids are separated by a moving rigid body on a bounded domain \((0, L)\). Thermodynamics is taken into account, leading to two pHs for each physical domain: one associated to the kinetic energy and the other one to the internal energy. No chemical reaction is being considered in the system. A control by mass injection/rejection and heating is then applied at the left end of the first fluid.

To cite this paper:
Treton Anne-Sophie, Haine Ghislain, Matignon Denis (2020) Modelling the 1D piston problem as interconnected port-Hamiltonian systems. IFAC-PapersOnLine 53(2):11503–11508. Berlin, Germany.

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