Fluid-Structure and Solid-Solid interactions by level set methods
Résumé
In this talk we will first review a general Eulerian framework that has been developed in our grou to dela with the interaction of elastic or rigid bodies in an incompressible flows. In this framework, fluids and objects are part of a single fluid, modeled by the incompressible Navier-Stokes equations, with time and space dependent rheology. The interface between the bodies and the fluids are captured by level sets functions. These level set functions are also used to compute stresses in elastic bodies and contact forces between bodies. We will show some illustrations of this framework for biological, rigid or deforming objects. The talk will then discuss efficient ways to compute contacts in the case of a large number of objects.