Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

By Yuri Bazilevs, Victor Manuel Calo, J. Cottrell, Thomas J. R. Hughes, Alessandro Reali, Guglielmo Scovazzi. 2007

1,102 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/c7357f3912a74ed1d4558b3b88c287ce4d710aee

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In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, neutral): “, [3, 21–24]).”
Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations (2009, methodology): “In this section, the grad–div stabilization is observed as a subgrid pressure model in the framework of the variational multiscale method of Hughes and coauthors [2,27,28].”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, neutral): “trG is the trace of G, and the parameter Ct is typically equal to 4 [73, 82].”
Isogeometric analysis using T-splines (2010, methodology): “Isogeo-metric analysis of ﬂuid ﬂows with NURBS discretizations is a well-studied topic, with applications in turbulence modeling [2,5,9], cardiovascular ﬂows [7,13,52], and ﬂuid–structure interaction [6–8].”
The role of continuity in residual-based variational multiscale modeling of turbulence (2007, methodology): “We conclude that smooth NURBS basis functions have advantages over C0-continuous finite elements in turbulent flow calculations as anticipated in [6].”
NURBS-based isogeometric analysis for the computation of flows about rotating components (2008, methodology): “For precise definitions of τM s, τM r, τC s, and τC r the reader is referred to [ 5 ], although it should be noted that in the ALE setting ur − v is used as the advective velocity in the definition of τM r, and, as a result, in τC r .T he τ’s are designed by asymptotic scaling arguments (see [3]), d”
An unconditionally energy-stable method for the phase field crystal equation (2012, background): “been successfully applied to a number of problems in solid [13,19,37,38] and fluid mechanics [5,6] showing significant efficiency and robustness.”
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations (2010, methodology): “This method was originally derived in [18] for the equations of structural dynamics and subsequently applied to turbulence computations in [2,8,44] and to the Cahn-Hilliard phasefield model in [35,36].”
Efficient quadrature for NURBS-based isogeometric analysis (2010, background): “In addi tion, on a per degree-offreedom basis, isogeometric analysis has exhibited superi or accuracy and robustness compared with finite element analysis (see [1, 5, 13]).”
Isogeometric analysis of the Cahn–Hilliard phase-field model (2008, methodology): “This predictor was shown to be efficient for turbulence applications [3,7,48].”
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].”