Numerical Simulation of Fluid Structure Interaction (FSI) on a double wedge Airfoil based on Arbitrary Lagrangian-Eulerian Frameworks

Nowadays, advanced composite materials have shown remarkable resilience for lightweight structures, construction in ballistics protection, engineering, and other similar applications. Carbon Fiber Reinforced Plastics (CFRP) are being applied to many aircraft structures in order to improve performance and reduce the weight. But there is a possibility of structural damages due to Fluid-Structure Interaction (FSI) oscillations. Simulation of the FSI, where the dynamics of these currents dominate, poses a formidable challenge for even the most advanced numerical techniques and it is currently at the forefront of an ongoing work in Computational Fluid Dynamics (CFD). Since analytical solutions are only available in special cases, the equation needs to be solved by numerical methods. This paper focuses on the analysis of a non-linear fluid-structure interaction problem and its solution through the Finite Element Method (FEM). Here we briefly describe the analysis of incompressible Navier-Stokes and Elastodynamic equations in the arbitrary Lagrangian-Eulerian (ALE) frameworks in order to numerically simulate the FSI effect on an aircraft wing, which shall describe the underlying physics such as structural vibration. The principal aim of this research is to explore and understand the behaviour of the fluid-structure interaction during the impact of a deformable material (e.g. an aircraft wing) on air. This coupled problem is defined in a monolithic framework and different types time stepping schemes are implemented. Spatial discretization is based on a Galerkin finite element scheme. The non-linear system is solved by a Newton-like method. The implementation using the software library package DOpElib and deal.II serves best for the computation of different FSI configurations.