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The periodic hills simulation case is a well-established benchmark forcomputational fluid dynamics solvers due to its complex features derived fromthe separation of a turbulent flow from a curved surface. We study the casewith the open-source implicit large-eddy simulation (ILES) software Lethe.Lethe solves the incompressible Navier-Stokes equations by applying astabilised continuous finite element discretisation. The results are validatedby comparison to experimental and computational data available in theliterature for Re = 5600. We study the effect of the time step, averaging time,and global mesh refinement. The ILES approach shows good accuracy for averagevelocities and Reynolds stresses using less degrees of freedom than thereference numerical solution. The time step has a greater effect on theaccuracy when using coarser meshes, while for fine meshes the results arerapidly time-step independent when using an implicit time-stepping approach. Agood prediction of the reattachment point is obtained with several meshes andthis value approaches the experimental benchmark value as the mesh is refined.We also run simulations at Reynolds equal to 10600 and 37000 and observepromising results for the ILES approach.

An implicit large-eddy simulation perspective on the flow over periodic hills