High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L2 and H(div) methods

@article{Fehn2019HighorderDS,
  title={High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L2 and H(div) methods},
  author={Niklas Fehn and Martin Kronbichler and Christoph Lehrenfeld and Gert Lube and Philipp W. Schroeder},
  journal={International Journal for Numerical Methods in Fluids},
  year={2019},
  volume={91},
  pages={533 - 556}
}
The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the underresolved regime, mass conservation and energy stability are key ingredients to obtain robust and accurate discretisations. Recently, two approaches have been proposed in the context of high‐order discontinuous Galerkin (DG) discretisations that address these aspects differently. On the one hand, standard L2‐based DG… 
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