An anisotropic adjoint-based hp-adaptive HDG method for compressible turbulent flow

We present an anisotropic adjoint-based hp-adaptive hybridized discontinuous Galerkin method for turbulent compressible ow. We use the Reynolds-averaged Navier-Stokes equations complemented with the k-ω turbulence model. By means of hybridization, we can formulate the resulting set of algebraic equations only in terms of the degrees of freedom on the skeleton of the computational mesh, i.e. the element interfaces. As a result, both storage requirements and computational time can be reduced. The anisotropic mesh-refinement strategy involves adjoint-based error estimation, high-order anisotropy- detection and Riemannian metrics. In order to improve the efficiency of our adaptive routine even further, we couple it with local p-adaptation.

Duke Scholars

Author Georg May DKU Faculty