I'm interested in combining Large Eddy Simulation (LES) with Adaptive Mesh Refinement (AMR). Both are techniques to reduce the number of degrees of freedom in a turbulent flow. While LES acts by eliminating a certain range of flow fluctuations in spectral space, AMR acts in physical space, providing more resolution where needed.
Flow in a rotating channel computed using the AMR-LES formulation
Velocity distribution along channel width. Line - DNS result, squares - AMRLES on Cartesian grid, Diamonds - AMRLES on tetrahedral grid
For some details see: "A Comparison of Adaptive Mesh Refinement Approaches for Large Eddy Simulation"
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