Three-Dimensional Simulation of Fluid-Structure Interaction Problems Using Monolithic Semi-Implicit Algorithm

A monolithic semi-implicit method is presented for three-dimensional simulation of fluid-structure interaction problems. The updated Lagrangian framework is used for the structure modeled by linear elasticity equation and, for the fluid governed by the Navier-Stokes equations, we employ the Arbitrary Lagrangian Eulerian method. We use a global mesh for the fluid-structure domain where the fluid-structure interface is an interior boundary. The continuity of velocity at the interface is automatically satisfied by using globally continuous finite element for the velocity in the fluid-structure mesh. The method is fast because we solve only a linear system at each time step. Three-dimensional numerical tests are presented.