Philipp Birken: Iterative methods for thermal fluid-structure interaction

We consider unsteady thermal fluid structure interaction between a compressible gas and a hot structure. Examples are gas quenching in steel forging or the cooling procedure in a rocket engine. The models are the compressible Navier-Stokes equations and the nonlinear heat equation.

In time, a previously developed efficient adaptive higher order time integration scheme with linear extrapolation within a partitioned Dirichlet-Neumann framework for the coupling is considered. The iteration is surprisingly fast and we present some analysis that explains this phenomenon.

Finally, we discuss the question of how to choose the tolerances for an inner iterative solver within a fixed point iteration, a problem that arises in the Dirichlet-Neumann iteration, as well as the Picard iteration.