An Interior Penalty Variational Multiscale Method for High Reynolds Number Flows

Erik Burman
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Erik Burman: Ecole Polytechnique Fédérale de Lausanne, Institut d’Analyse et Calcul Scientifique (CMCS/IACS)

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 779-787 from Springer

Abstract: Abstract 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.

Keywords: Large Eddy Simulation; High Reynolds Number; Posteriori Error; Coarse Scale; Posteriori Error Estimate (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_76

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DOI: 10.1007/978-3-540-34288-5_76

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