High performance numerical methods for fluid-structure interaction problemds in aeronautics

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Aeroelasticity is the study of the mutual interactions between an air flow and a flexible structure. It is one of the most important and challenging multi-physics applications. It couples two nontrivial applications and is characterized by multi-scale phenomena, both in space and time. The efficient solution to this problem is of critical importance to the design of aircraft. In addition to aerodynamics performance, acoustical effects are becoming an important issue in aeronautics, especially for the design of helicopter blades. Consequently, acoustical data has to be generated as well as aerodynamic and aeroelastic data. We propose an interdisciplinary project to address some of the challenging issues which arise in fluid-structure interaction problems with applications to aircraft wings and helicopter rotors. This field of study blends solution methods from fluid dynamics, structures and acoustics. Therefore, as prerequisite, good numerical methods for both of these areas must be developed. A first goal of this work is to consider the simulation of fluid flow around complex 3D geometries using unsteady Euler and Navier-Sokes equations with the Spalart-Allmaras (SA) turbulence model. We plan on developing a proper discretization of the SA equations. A second goal is to solve the nonlinear problem which arises in the coupling between aerodynamics and structures. We develop efficient algorithms for coupling the subsystems. A third goal is to apply the developed aeroselasticity technology to perform flutter simulations for isolated wings and wing-body configurations. A forth goal is to extend these applications to flexible blades. The flow induced oscillations on the rotor will be computed to understand structural loading conditions and their effects on helicopter aerodynamics performance and noise generation. A fifth goal is to develop numerical methods for noise generation and propagation by rotorcraft.