Implicit subgrid modeling of large eddy simulations with gradient-based optimization methods

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The goal of this research proposal is the development of a high order discontinuous Galerkin method for large eddy simulations of turbulent flows. Therefore free process parameters are introduced such that the approximation error takes over the role of subgrid modeling, usually referred to as implicit LES modeling. The free parameters are based on different approximations of surface and volume integrals, as well as a hybridization using a finite volume approach and are optimized with respect to the modeling of effects on a subgrid-scale. This is done by gradient based optimization methods, which remain robust and efficient even for sensitive parameters. For the calculation of the necessary derivatives adjoint calculus is applied, which is implemented in an automated manner using algorithmic differentiation. The core competencies of the two working groups in Stuttgart and Kaiserslautern in the development of high-resolution methods and adjoint-based optimization methods are combined in this project perfectly.