Large Eddy Simulation and the variational multiscale method

By Thomas J. R. Hughes, Luca Mazzei, Kenneth E. Jansen. 2000

787 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6201b75af63817157db7b8f43c8b41fd8f2cb786

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In Computational Mechanics

Citations in the corpus

Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “The variational multiscale method , has also been successfully employed to model turbulence [7,48,49].”
Monitoring unresolved scales in multiscale turbulence modeling (2001, methodology): “ABSTRACT This paper extends the two-level Variational MultiScale (VMS) method for Large-Eddy Simulation, introduced by Hughes et al. [Comput. Visual. Sci., 3:47–59 (2000)], to a threelevel approach that clarifies the role of unresolved scales of motion on the resolved scales.”
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, neutral): “, [25, 31–35].”
Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods (2007, neutral): “, [11,12,15–17] for application to turbulence modeling).”
Stabilized space–time computation of wind-turbine rotor aerodynamics (2011, methodology): “The variational multiscale (VMS) method was ﬁrst proposed in [93] and its application to ﬂuid mechanics and turbulence was given in [94; 95].”
A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis (2001, neutral): “[17]).”
Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows (2006, methodology): “This refers to the variational multi-scale (Vms) method, which originates with the works of Temam and his colleagues on multi-level methods (Dubois et al. 1999), and has been developed by Hughes et al. (2000) and many others thereafter (Berselli et al. 2005, for a review).”
Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows (2004, background): “In [32], the authors propose the following two possible choices:”
Stabilized finite element methods for the generalized Oseen problem (2007, methodology): “For brevity, we did not describe the link of the stabilized schemes to the variational multiscale method proposed in [25,22,27] which provide a new approach to large eddy simulations of turbulent flows.”
Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison (2011, methodology): “In this report, we use the two-level algorithm proposed in [50] to discretize two new POD-ROMs, inspired from state-of-the-art LES closure modeling strategies: the dynamic subgrid-scale (DS) model [52–54] and the variational multiscale (VMS) model [55].”