Weak Dirichlet Boundary Conditions for Wall-Bounded Turbulent Flows

By Yuri Bazilevs, Christian Michler, Victor Manuel Calo, Thomas J. R. Hughes. 2007

250 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/df30565d075610d3c01f9084d0cdcbf3a6cda07c

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

Citations in the corpus

Isogeometric fluid-structure interaction: theory, algorithms, and computations (2008, background): “For example, condition (110) may be imposed weakly (see, e.g., [6, 7 ]) by constructing additional terms on the fluid-solid interface using ideas emanating from discontinuous Galerkin methods.”
Isogeometric analysis and domain decomposition methods (2012, methodology): “Isogeometric analysis has been applied to the field of fluid mechanics [2], structural analysis [9,10,28], shell formulations [3], phase field models [13] and contact problems [33,29].”
The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches (2010, background): “fluids, fluid-structure interaction, turbulence, phase field modeling, and structural optimization [3–19].”
Locking-free isogeometric collocation methods for spatial Timoshenko rods (2013, unknown): “Given this unique premises, IGA has been adopted in different fields of Computational Mechanics, and the properties and advantages of this more than promising approach have been successfully tested and analyzed both from the practical and mathematical standpoints (see, among others, [4,7–13,15–17,22”
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.”
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps (2010, unknown): “For the spatial discretization we employ NURBS-based isogeometric analysis (see, e.g., [2, 4 , 10]) and C1-continuous quadratic NURBS are considered for this test case.”
ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS (2013, methodology): “One may also define hF to be the wall-normal mesh-size as is done in [3].”
NURBS-based isogeometric analysis for the computation of flows about rotating components (2008, methodology): “For this purpose, we borrow ideas from the discontinuous Galerkin (DG)methodology,asinourearlierworkonweakimposition ofDirichletboundaryconditionsforfluidmechanicsandturbulent flows (see [7, 8 ]).”
Discretizations in isogeometric analysis of Navier-Stokes flow (2011, unknown): “Boundary Conditions For simplicity we impose the Dirichlet boundary conditions in (1c) strongly as opposed to the weak enforcement suggested in [14, 15].”
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.”