Numerical schemes and well-posedness in nonlinear aeroelasticity

The panel-flutter-problem is considered to study issues of numerical schemes and well-posedness that appear in aeroelastic models. The question of well-posedness is addressed by a uniqueness theorem. Here the flow is modelled by the compressible Navier-Stokes-equations in Lagrangian coordinates and the panel by a variant of the von-Karman equation. The proposed numerical method is based on a discretization of the panel-flutter-problem such that the energy conservation properties of the continuous problem are mimiced on the discrete level. Here the 2D Euler equations and a strip of a von-Karman plate are considered. A solution strategy employing a Newton-GMRes algorithm is compared with coupling strategies that are usually employed in aeroelasticity

Numerical schemes and well-posedness in nonlinear aeroelasticity

The panel-flutter-problem is considered to study issues of numerical schemes and well-posedness that appear in aeroelastic models. The question of well-posedness is addressed by a uniqueness theorem. Here the flow is modelled by the compressible Navier-Stokes-equations in Lagrangian coordinates and the panel by a variant of the von-Karman equation. The proposed numerical method is based on a discretization of the panel-flutter-problem such that the energy conservation properties of the continuous problem are mimiced on the discrete level. Here the 2D Euler equations and a strip of a von-Karman plate are considered. A solution strategy employing a Newton-GMRes algorithm is compared with coupling strategies that are usually employed in aeroelasticity