An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes

Abstract

A quadtree-based fully Eulerian finite volume approach for the simulation of fluid-structure interaction problems is presented. Both fluid and structure phases, which are assumed to be incompressible and viscous, are solved monolithically on the whole computational domain. The discretization stencils are limited to the first layer of neighbors thus enhancing the efficiency of the parallel computations while limiting the numerical order of the finite volume discretizations that can be reached. The behavior of hyperelastic structures is described with the non-linear Mooney-Rivlin model. The simulation of several two dimensional test cases is performed on uniform and quadtree grids and results are compared with the literature. To illustrate the versatility of the numerical model presented, a biomedical application, the axisymmetric simulation of a blood flow in a cardiac pump, is presented.