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' of the eddies sought. This report considers this question analytically: Is it possible to prove error estimates for discretizations of actually used large eddy models whose error constants depend only on $\\delta$ but not Re? We consider the most common, simplest, and most mathematically tractable model and the most mathematically clear discretization. In two cases, we prove such an error estimate and try to explain why our technique of proof fails in the most general case. Our analysis aims to assume as little time regularity on the true solution as possible.","abstract_zh":"","authors":[{"id":"56058d0045cedb3396667f8b","name":"V. John"},{"id":"53f43cb2dabfaee1c0ad368a","name":"W. J. Layton"}],"doi":"10.1137\u002FS0036142900375554","id":"53e9a62eb7602d9702f5d06b","is_downvoted":false,"is_starring":false,"is_upvoted":false,"issn":"0036-1429","keywords":["question analytically","navier-stokes equations","error estimate","error constant","numerical error","turbulence","straightforward discretization","large eddy motion","large eddy model","true solution","numerical errors","large eddy simulation","finite element methods","clear discretization","reynolds number","finite element method","turbulent flow"],"labels":["en_journal"],"lang":"en","num_citation":75,"num_starred":0,"num_upvoted":0,"num_viewed":39,"pages":{"end":"1020","start":"995"},"pdf":"\u002F\u002Fstatic.aminer.org\u002Fpdf\u002FPDF\u002F003\u002F112\u002F613\u002Fanalysis_of_numerical_errors_in_large_eddy_simulation.pdf","title":"Analysis of Numerical Errors in Large Eddy Simulation","urls":["http:\u002F\u002Fdx.doi.org\u002F10.1137\u002FS0036142900375554","http:\u002F\u002Fwww.webofknowledge.com\u002F"],"venue":{"id":"555036e27cea80f954163f21","info":{"name":"SIAM J. Numerical Analysis"},"issue":"3","type":0,"volume":"40"},"versions":[{"id":"599c7a13601a182cd268b718","sid":"journals\u002Fsiamnum\u002FJohnL02","src":"dblp","vsid":"journals\u002Fsiamnum","year":2002},{"id":"53e26b7220f7fff677c30b51","sid":"16456856","src":"msra","year":2002},{"id":"5390893e20f70186a0d93a9f","sid":"588473","src":"acm","year":2002},{"id":"53e24c5020f7fff6773f04eb","sid":"155821","src":"msra","year":2001},{"id":"56d8e27fdabfae2eee1b8f6b","sid":"1984171123","src":"mag","year":2006},{"id":"5ff5a7d0bf33bee3baf94673","sid":"WOS:000178306100009","src":"wos","vsid":"SIAM JOURNAL ON NUMERICAL ANALYSIS","year":2002}],"year":2006}}};