Computability and adaptivity in CFD

We briey recall research on adaptive computational methods for laminar compressible and incompressible ow, and we then move on to present recent work on computability and adaptivity for turbulent incompressible ow, based on adaptive stabilized Galerkin nite element methods with duality based a posteriori error control for chosen output quantities of interest, here referred to as General Galerkin G2 methods. We show in concrete examples that outputs such as mean values in time of drag and lift of turbulent ow around a bluff body are computable on a PC with a tolerance of a few percent using a few hundred thousand mesh points in space. 1