TY - JOUR
T1 - Energetic decomposition of distributed systems with moving material domains
T2 - The port-Hamiltonian model of fluid-structure interaction
AU - Califano, Federico
AU - Rashad, Ramy
AU - Schuller, Frederic P.
AU - Stramigioli, Stefano
PY - 2022/5
Y1 - 2022/5
N2 - We introduce the geometric structure underlying the port-Hamiltonian models for distributed parameter systems exhibiting moving material domains. The first part of the paper aims at introducing the differential geometric tools needed to represent infinite-dimensional systems on time–varying spatial domains in a port–based framework. A throughout description on the way we extend the structure presented in the seminal work [25], where only fixed spatial domains were considered, is carried through. As application of the proposed structure, we show how to model in a completely coordinate-free way the 3D fluid–structure interaction model for a rigid body immersed in an incompressible viscous flow as an interconnection of open dynamical subsystems.
AB - We introduce the geometric structure underlying the port-Hamiltonian models for distributed parameter systems exhibiting moving material domains. The first part of the paper aims at introducing the differential geometric tools needed to represent infinite-dimensional systems on time–varying spatial domains in a port–based framework. A throughout description on the way we extend the structure presented in the seminal work [25], where only fixed spatial domains were considered, is carried through. As application of the proposed structure, we show how to model in a completely coordinate-free way the 3D fluid–structure interaction model for a rigid body immersed in an incompressible viscous flow as an interconnection of open dynamical subsystems.
KW - UT-Hybrid-D
U2 - 10.1016/j.geomphys.2022.104477
DO - 10.1016/j.geomphys.2022.104477
M3 - Article
SN - 0393-0440
VL - 175
JO - Journal of geometry and physics
JF - Journal of geometry and physics
M1 - 104477
ER -