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Convergence of finite element approximations of large eddy motion
Author(s) -
Iliescu Traian,
John Volker,
Layton William J.
Publication year - 2002
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10027
Subject(s) - convergence (economics) , mathematics , turbulence , large eddy simulation , motion (physics) , finite element method , flow (mathematics) , reynolds number , partial differential equation , reynolds stress , space (punctuation) , fluid dynamics , mathematical analysis , calculus (dental) , geometry , classical mechanics , mechanics , computer science , physics , economics , thermodynamics , economic growth , operating system , medicine , dentistry
Fluid motion in many applications occurs at higher Reynolds numbers. In these applications dealing with turbulent flow is thus inescapable. One promising approach to the simulation of the motion of the large structures in turbulent flow is large eddy simulation in which equations describing the motion of local spatial averages of the fluid velocity are solved numerically. This report considers “numerical errors” in LES. Specifically, for one family of space filtered flow models, we show convergence of the finite element approximation of the model and give an estimate of the error. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 689–710, 2002; Published online in Wiley InterScience (www.interscience.wiley.com); DOI 10.1002/num.10027.