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In this article we present recent developments in numerical methods forperforming a Large Eddy Simulation (LES) of the formation and evolution of awingtip vortex. The development of these vortices in the near wake, incombination with the large Reynolds numbers present in these cases, make thesetypes of test cases particularly challenging to investigate numerically. Wefirst give an overview of the Spectral Vanishing Viscosity--implicit LES(SVV-iLES) solver that is used to perform the simulations, and highlighttechniques that have been adopted to solve various numerical issues that arisewhen studying such cases. To demonstrate the method's viability, we presentresults from numerical simulations of flow over a NACA 0012 profile wingtip at$Re_c = 1.2\cdot 10^6$ and compare them against experimental data, which is todate the highest Reynolds number achieved for a LES that has been correlatedwith experiments for this test case. Our model correlates favorably withexperiment, both for the characteristic jetting in the primary vortex andpressure distribution on the wing surface. The proposed method is of generalinterest for the modeling of transitioning vortex dominated flows over complexgeometries.

Implicit Large Eddy Simulation of a wingtip vortex at $Re_c = 1.2\cdot 10^6$