Luis MORA : "Port-Hamiltonian modeling of the fluid-structure interaction in a longitudinal domain"

Luis MORA PhD works : "Port-Hamiltonian modeling of the fluid-structure interaction in a longitudinal domain"

Abstract  : This Thesis presents modeling based on port-Hamiltonian systems (PHS) of the fluid-structure interaction in a longitudinal domain. Firstly, finite-dimensional modeling based on a mass-spring-damper formulation is presented to describe the transverse motion of the structure. Secondly, the dynamics of Newtonian fluids are described by dividing the fluid domain into $ _f$ sections with uniform cross-sectional area. For incompressible fluids, an instrumental element, called node, is used to allow appropriate coupling, from a PHS point of view, of the fluid sections. For compressible fluids, a staggered mesh is used to characterize the longitudinal velocity and the density in $ _f$ points of the fluid domain for each variable. To be able to couple the finite-dimensional models of the fluid and the structure, a power-preserving interconnection is used, and a switching approach is presented to model the cases where the structure collides closing a section of the fluid domain, such as in the case of the vocal folds. The obtained simulation results show that the proposed models are in correspondence with more complex formulations found in the literature. Finally, the description of the considered class of systems with timevarying domains using the infinite-dimensional PHS framework is studied. The thesis also presents some first approaches of general infinite-dimensional formulations for isentropic and non-isentropic compressible Newtonian fluids in a constant 3D domain, and a formulation based on the infinite-dimensional irreversible PHS approach is proposed for 1D non-isentropic compressible Newtonian fluids.

Jury Composition  :

Yann LE GORREC, Professeur des Universités, Université Bourgogne - Franche-Comté, PhD Director

M.Bernhard MASCHKE, Professeur Université Claude Bernard Lyon 1, Reporter

Thomas HÉLIE, Directeur de recherche, Institute for Research and Coordination in Acoustics/Music, Reporter

Denis MATIGNON, Professeur Institut Supérieur de l'Aéronautique et de l'Espace, Reviewer

Daniel SBÁRBARO, Professeur Universidad de Concepción, Reviewer

Juan YUZ, Professeur associé, Universidad Técnica Federico Santa María, PhD Co-director

Héctor RAMÍREZ Professeur assistant Universidad Técnica Federico Santa María, PhD Co-director

Localization : Amphithéâtre Pierre Mesnage, ENSMM - 26, Rue de l'Epitaphe - 25000 Besançon