Eulerian mixture formulation for solid-fluid interaction dynamics

This paper describes an Eulerian formulation for solid-fluid interaction dynamics. A computational mesh control can be divided into Lagrangian and Eulerian solutions. Although the Lagrangian and Eulerian solution has been generally adopted for deformation of solid and flow of fluid respectively, the highly distorted Lagrangian mesh cannot retain numerical accuracy for flexible solid material. The present approach establishes one governing equation for both solid and fluid models using mixture theory assuming incompressibility in the full Eulerian framework. Hyperelasticity for solid and Newtonian fluid are employed in the constitutive equations. A discretization of the proposed formulation for solid-fluid interaction dynamics is based on an explicit finite element method. The explicit finite element method reduces computational cost, except that the finite different method instead of the finite element method is used to solve Poisson and advective equations. We test the validity of the established formulation in the two repressentative solid-fluid interaction examples including flexible solid.