An interior penalty variational multiscale method for high Reynolds number flows

In this paper we present a framework using C° interior penalty methods for computations of the Navier-Stokes equations at high Reynolds number. The method is motivated by a formal scale separation argument and then justified by a priori error estimates. As a possible measure of solution quality we propose to monitor the ratio between the artificial dissipation induced by the numerical method and the computed physical dissipation. We prove that for our method the artificial dissipation serves as an a posteriori error estimator.