Fluid-structure interaction by the spectral element method

Viscous fluid-structure interaction is treated with an arbitrary Lagrangian- Eulerian formulation. The spatial discretization is performed by the spectral element method for the fluid part where the Navier-Stokes equations are integrated and in the solid part where transient linear elasticity is described by the Navier equations. Time marching algorithms are second-order accurate in time in both the fluid and the solid. The algorithm is applied to the flow in a plane channel partially obstructed by a solid component able to move under the action of the fluid flow.