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

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 viscous, solved monolithically on whole computational domain. The discretization stencils limited first layer neighbors thus enhancing efficiency parallel computations while limiting numerical order discretizations that can reached. behavior hyperelastic structures described with non-linear Mooney-Rivlin model. several two dimensional test cases performed uniform quadtree grids results compared literature. To illustrate versatility model presented, a biomedical application, axisymmetric blood flow in cardiac pump,