A fully eulerian finite volume method for the simulation of fluid-structure interactions on amr enabled quadtree grids

Abstract

We present a versatile fully Eulerian method for the simulation of fluid-structure interactions. The model equations are solved using a finite-volume scheme on a compact and possibly dynamic quadtree stencil. The structure geometry is followed using a level-set model and a distance function. A regularized Heaviside function that allows to discriminate between the fluid and the elastic phases is then defined with respect to the moving structure. The elastic deformation of the structure is described according to the backward characteristics which are in turn used to express the Cauchy stress tensor of a two-parameter Mooney-Rivlin material. The numerical model is validated with respect to the literature and an example of application is detailed.