Burman, Erik (2007) Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation. Computer Methods in Applied Mechanics and Engineering, 196 (41-44). pp. 4045-4058. ISSN 0045-7825

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Abstract

In this paper, we apply the interior penalty method analyzed in [E. Burman and M.--A. Fernndez, Numer. Math. 107 (2007), no. 1, 39--77; MR2317827 (2008c:65317)] to flows at high Reynolds number. 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. For smooth flows we prove that for our method the artificial dissipation serves as an a posteriori error estimator and also that it vanishes at an optimal rate. In the case of flows with multiscale features, we discuss a heuristic approach relating the decay of the artificial dissipation to the decay rate of the power spectrum. Some numerical results in two space dimensions are presented examining the relation between the numerical dissipation and solution quality.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Erik Burman
Date Deposited:	06 Feb 2012 19:13
Last Modified:	09 Jul 2012 13:21
URI:	http://sro.sussex.ac.uk/id/eprint/19609

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