(YIP 2011) Unsteady Output-based Adaptive Simulation of Separated and Transitional Flows
Final rept. 15 May 2011-14 Dec 2014
MICHIGAN UNIV ANN ARBOR
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The goal of this project was to investigate and overcome the difficulties of extending output-based error estimation and mesh adaptation from steady to unsteady simulations of aerodynamics problems relevant to the U.S. Air Force. These methods have a direct impact on robustness, through estimates of numerical error on engineering outputs, and efficiency, through space-time mesh adaptive methodology, of unsteady simulations. The project led to significant advances in adjoint-based error estimates for large-scale, nonlinear, time-dependent problems on deformable domains, and in their use in driving efficient combined space-time mesh refinement. The methods were applied to several transient aerodynamics problems, culminating with a three-dimensional adaptive flapping-wing simulation. Approaches for reducing the cost of the methods were also investigated, including a hybridized discontinuous Galerkin discretization and entropy-adjoint unsteady error estimates. The findings were disseminated in a variety of presentations, conference proceedings, and archival journal publications.
- Numerical Mathematics