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Xesús Nogueira obtained his Ph.D. degree from University of A Coruña, A Coruña, Spain, in 2009. He served as a Visiting Professor during the period of 2011-2012 at Arts et Métiers ParisTech, Paris, France, and he currently works as an Associate Professor at the Civil Engineering School, University of A Coruña. His research interest is focused on computational fluid mechanics, in particular high-order methods for Euler and Navier-Stokes equations. He has received the Juan C. Simo Young Investigator Award from the Spanish Society for Numerical Methods in Engineering (SEMNI).

In this work we present an a posteriori high-order finite volume scheme using the Roe numerical flux, for the computation of compressible turbulent flows. We propose to use an implicit large eddy simulation (ILES) approach instead of using an explicit SGS model. This is done by combining an automatic dissipation adjustment (ADA) method with the a posteriori  paradigm, in order to obtain an implicit subgrid scale model and preserve the stability of the numerical method. Thus, the numerical scheme is designed to increase the dissipation in the control volumes where the flow is not well solved, and to decrease the dissipation in the well-solved cells. This is achieved by adding a multiplicative factor to the dissipative part of the numerical flux. The a posteriori approach allows for adding dissipation in cells near shocks if required, ensuring the stability of the scheme. Some results for under-resolved simulations are presented.