The variational multiscale method provides a methodical framework for large eddy simulation of turbulent flows. In this work, a particular implementation in form of a three-level finite 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 effect of the small-scale continuity equation. This implementation guarantees the stability of the method without further provisions and offers substantial computational savings on the small-scale level. Furthermore, it is accounted for the unresolved scales by a specific dynamic modeling procedure. The method is tested for two different turbulent flow situations.
%0 Journal Article
%1 gravemeier2005large
%A Gravemeier, Volker
%A Wall, Wolfgang A.
%A Ramm, Ekkehard
%D 2005
%J SFB 404 Report 2004/07
%K ibb from:maltevonscheven article
%P 1067-1099
%R 10.1002/fld.961
%T Large eddy simulation of turbulent incompressible flows by a three-level finite element method
%V International Journal for Numerical Methods in Fluids
%X The variational multiscale method provides a methodical framework for large eddy simulation of turbulent flows. In this work, a particular implementation in form of a three-level finite 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 effect of the small-scale continuity equation. This implementation guarantees the stability of the method without further provisions and offers substantial computational savings on the small-scale level. Furthermore, it is accounted for the unresolved scales by a specific dynamic modeling procedure. The method is tested for two different turbulent flow situations.
@article{gravemeier2005large,
abstract = {The variational multiscale method provides a methodical framework for large eddy simulation of turbulent flows. In this work, a particular implementation in form of a three-level finite 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 effect of the small-scale continuity equation. This implementation guarantees the stability of the method without further provisions and offers substantial computational savings on the small-scale level. Furthermore, it is accounted for the unresolved scales by a specific dynamic modeling procedure. The method is tested for two different turbulent flow situations.},
added-at = {2021-03-09T13:40:56.000+0100},
author = {Gravemeier, Volker and Wall, Wolfgang A. and Ramm, Ekkehard},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/22ba6be03544d726531a0bb7f81fe098e/ibb-publication},
doi = {10.1002/fld.961},
interhash = {e54170bbbd2fda8302f6896c643c0062},
intrahash = {2ba6be03544d726531a0bb7f81fe098e},
journal = {SFB 404 Report 2004/07},
keywords = {ibb from:maltevonscheven article},
pages = {1067-1099 },
timestamp = {2021-03-09T12:40:56.000+0100},
title = {Large eddy simulation of turbulent incompressible flows by a three-level finite element method},
volume = { International Journal for Numerical Methods in Fluids},
year = 2005
}