Large eddy simulation of turbulent channel flows by the variational multiscale method

By Thomas J. R. Hughes, A. Oberai, Luca Mazzei. 2001

498 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/cb514edec24ad61fa17f6d47b0b16a1b88f1b977

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

In Fluid Flow and Transfer Processes

Citations in the corpus

Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows (2015, methodology): “A nonlinear scale splitting was used in [11,12] together with an explicit resolution of the small scales in which a Smagorinsky damping was introduced.”
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows (2007, methodology): “We note though that the formulation utilized in [36,27] employed a fine-scale eddy viscosity model and is quite different from the one used here.”
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].”
Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods (2007, unknown): “, [11,12,15–17] for application to turbulence modeling).”
Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows (2004, background): “From numerical tests reported in [31, 33], it is unclear which form of νt performs the best, but from the approximation point of view, we note that in the regions where the solution is smooth, the first form of the subgrid term is O(Hk+1), which is exactly the order of the consistency error of the a”
Monitoring unresolved scales in multiscale turbulence modeling (2001, background): “( 3 ) is solved subject to appropriate boundary conditions.”
On closures for reduced order models—A spectrum of first-principle to machine-learned avenues (2021, unknown): “The variational multiscale (VMS) methods developed by Hughes and his collaborators 287–289 have made a signiﬁcant impact in classical CFD.”
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].”
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, unknown): “, [25, 31–35].”
Weak imposition of Dirichlet boundary conditions in fluid mechanics (2007, background): “[28], Hughes, Oberai, and Mazzei [29], Holmen et al.”
Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison (2011, background): “This seems to reflect the LES setting, where both the DS and the VMS closure modeling strategies are considered state-of-the-art (Hughes et al. 2001a,b).”