Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes

By Yuri Bazilevs, Christian Michler, Victor Manuel Calo, Thomas J. R. Hughes. 2010

303 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/81cde3c174450ed1c96b57386ee534443c4a76bd

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Free-Surface Flow and Fluid-Object Interaction Modeling With Emphasis on Ship Hydrodynamics (2012, background): “[22,23,29] for the derivation and discussion of weak boundary conditions for the equations of fluid mechanics.”
Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique (2013, methodology): “Isogeometric analysis has been introduced by Hughes et al. (2005) as a novel technique for the discretization of partial differential equations (PDEs).”
Stabilized space–time computation of wind-turbine rotor aerodynamics (2011, methodology): “The same observation was made in [107] for the residual-based variational multiscale method using NURBS [1].”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, background): “A further approac h grew out of the pioneering effort of N ITSCHE [115] for the Poisson problem, which has been successfully adapted to structural mechanics [51, 55, 62, 65], biomechanics [139] and fluid mechanics [17, 18].”
Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method (2010, methodology): “Weak boundary conditions were tested on several turbulent flows in [8,9] and it was shown that the accuracy of the solution in the domain interior may be dramatically improved by allowing the flow to slip and develop turbulent features on the no-slip wall.”
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, unknown): “, [3, 21–24]).”
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”
ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS (2013, methodology): “Utilzing Nitsche’s method allows us to account for these layers in a stable and consistent manner without having to directly resolve them [2, 3, 4].”
Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines (2015, methodology): “Isogeometric methods have been used and tested on a variety of problems of engineering interests, for flow simulations [2, 4, 7, 10, 14, 20, 17, 18], and for electromagnetic problems [12, 13, 32].”
Isogeometric boundary element analysis using unstructured T-splines (2013, methodology): “A small sampling includes fluids and turbulence [5, 6, 7, 8], fluid-structure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural and vibration analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23, 24], large deformation structural analysis with ”
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”
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].”
Mathematical analysis of variational isogeometric methods* (2014, methodology): “T-splines were proposed in Sederberg, Zheng, Bakenov and Nasri (2003) for applications to CAGD and have been adopted for isogeometric methods since Bazilevs et al. (2010a).”