Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem

In this thesis, we apply the existing framework for duality-based a posteriori error estimation and goaloriented adaptivity to a prototypical fluid-structure-interaction model problem. Specifically, we consider the two-dimensional panel problem concerning the aeroelastic response of a flexible panel with infinite aspect ratio immersed in an inviscid fluid flow. For general linear and nonlinear output quantities of interest, we formulate an appropriate dual problem and derive dual-weighted Type I a posteriori error estimates. The sharpness of these estimates is demonstrated through a series of numerical experiments for physically stable as well as physically unstable test conditions in both the subsonic and supersonic regime. On the basis of the derived a posteriori error estimates, we then design and implement an adaptive algorithm capable of producing space-time meshes specifically tailored to the efficient computation of a certain target quantity of interest. Numerical results are presented, highlighting the superiority of the proposed duality-based approach over a more traditional mesh refinement algorithm employing a residual-based indicator. Furthermore, comparisons between h- and hp-refinement strategies are made to illustrate the extra increase in efficiency, which can be gained from the use of hp-refinement techniquesAerospace Engineerin