Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method

By Yuri Bazilevs, Ido Akkerman. Journal of Computational Physics, 2010

320 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b84bd997846e2bde72eec6de4884679f14cd049f

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In Computational Mechanics

Citations in the corpus

An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, unknown): “A naive evaluation of traction from the fluid Cauchy stress, −σ1n1, will converge poorly to the true traction, so we prefer to use variationally-consistent, conservative definitions of traction [68, 122].”
Discretizations in isogeometric analysis of Navier-Stokes flow (2011, unknown): “Benchmarking of the method for the turbulent Taylor-Couette flow shows very nice performance of the method [6].”
Free-Surface Flow and Fluid-Object Interaction Modeling With Emphasis on Ship Hydrodynamics (2012, background): “In the discrete setting, in the presence of weakly-enforced boundary conditions, basic conservation arguments (see Ref.[49]) lead to the following definition of the traction vector”
Local refinement of analysis-suitable T-splines (2012, methodology): “Areas of application of NURBS-based isogeometric analysis include turbulence [5, 6, 7, 8], fluidstructure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23], large deformation with mesh disto”
Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics (2011, background): “Remark 1 Equation (3), which comes from [ 13 ], has been modified for compatiblity with other stabilization parameters.”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “The smoothness of NURBS basis functions is attractive for analysis of fluids [7, 53, 96] and for fluid-structure interaction problems [9, 10].”
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, background): “Extensive investigations including fluid–solid interaction [3,2], the extended finite element method [5] and electromagnetics [8] have additionally demonstrated the ability of isogeometric analysis to provide not only more precise geometric representations than traditional finite elements but also e”
Stabilized space–time computation of wind-turbine rotor aerodynamics (2011, methodology): “The residual-based instantiation of the VMS method for incompress-ible turbulent ﬂow was ﬁrst given in [97] and further studied in [98] with emphasis on rotating turbulent ﬂows.”