Aeroelasticity using level set approach and adaptive mesh

Directeurs de thèse : Elie Hachem et Thomas Toulorge.We have present a full Eulerian approach to deal with the aerodynamic performance and stability of a new designed airship. It consists first on setting the needed fluid solvers (Navier-Stokes equations coupled to a Spallart almaras turbulent model), then on a geometric representation through a level set method that separates each phase: external air, membrane and internal gaz. Finally, we extend this framework to embed a fluid-membrane model through interfacial forces. This model consists on implementing bending and inextensibility forces and adding them to the Navier-sotek equations. The framework was tested first in 3D to analyze the flow past a fixed airship and compute the aerodynamic forces. Then a fluid-membrane benchmark is used to validate the implementation. This work allows us to highlight several numerical challenges: first, the implementation of a high order derivative using smooth projection is needed to ensure free-oscillation forces, then the use of an unified compressible-incompressible solver to take into account the internal gaz of the the airship, finally, the analysis of the envelop proposed by Thales Alenia Space to deduce the physical parameters for our fluid-membrane model