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Large eddy simulation of turbulent incompressible flows by a three-level finite element method

✍ Scribed by Volker Gravemeier; Wolfgang A. Wall; Ekkehard Ramm

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
429 KB
Volume
48
Category
Article
ISSN
0271-2091

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✦ Synopsis

The variational multiscale method provides a methodical framework for large eddy simulation of turbulent ows. In this work, a particular implementation in the form of a three-level ΓΏnite element method separating large resolved, small resolved, and unresolved scales is proposed. Residual-free bubbles are used for the numerical approximation of the small-scale momentum equation. A stabilizing term is added, in order to take into account the e ect of the small-scale continuity equation. This implementation guarantees the stability of the method without further provisions and o ers substantial computational savings on the small-scale level. Furthermore, it is accounted for the unresolved scales by a speciΓΏc dynamic modelling procedure. The method is tested for two di erent turbulent ow situations.

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## Abstract Computation of a moving interface by the level‐set (LS) method typically requires reinitialization of LS function. An inaccurate execution of reinitialization results in incorrect free surface capturing and thus errors such as mass gain/loss so that an accurate and robust reinitializati