%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 }