Geodesic
Finite element approximations for the stationary large eddy simulation model
Andrzej Warzyński1
1 School of Computing University of Leeds Leeds, LS2 9JT, UK
Applicationes Mathematicae, Tome 37 (2010) no. 2, pp. 171-183 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Some approximation procedures are presented for the system of equations arising from the large eddy simulation of turbulent flows. Existence of solutions to the approximate problems is proved. Discrete solutions generate a strongly convergent subsequence whose limit is a weak solution of the original problem. To prove the convergence theorem we use Young measures and related tools. We do not limit ourselves to divergence-free functions and our results are in particular valid for finite element approximations where one usually does not use functions with divergence equal to zero.
DOI : 10.4064/am37-2-3
Keywords: approximation procedures presented system equations arising large eddy simulation turbulent flows existence solutions approximate problems proved discrete solutions generate strongly convergent subsequence whose limit weak solution original problem prove convergence theorem young measures related tools limit ourselves divergence free functions results particular valid finite element approximations where usually does functions divergence equal zero

Andrzej Warzyński 1

1 School of Computing University of Leeds Leeds, LS2 9JT, UK 
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Andrzej Warzyński. Finite element approximations for
 the stationary large eddy simulation model. Applicationes Mathematicae, Tome 37 (2010) no. 2, pp. 171-183. doi: 10.4064/am37-2-3

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