A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method

By Kenneth E. Jansen, C. Whiting, Gregory M. Hulbert. 2000

819 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/02e5e1ed65e57aac11f3349df5ff606f6aa5846f

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In Computational Mechanics

In Numerical Analysis

Citations in the corpus

Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “As described in [54, 57] we select αm, αf and δ as follows:”
Weak imposition of Dirichlet boundary conditions in fluid mechanics (2007, background): “The discrete equations were advanced in time using the Generalized-α method (see Chung and Hulbert [16] for details).”
Free-Surface Flow and Fluid-Object Interaction Modeling With Emphasis on Ship Hydrodynamics (2012, background): “[41,42]) for the free-surface and mesh motion equations.”
Nonlinear Flight Dynamics of Very Flexible Aircraft (2005, methodology): “The resultingmodifiedNewmarkmethod used aspects of the generalizedmethods [42,43] and is capable of handling coupled first- and second-order nonlinear differential equations with repeated discrete eigenvalues on the unit circle.”
Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics (2014, methodology): “where the parameters αm, αf , δ ∈ R0 defining the generalized–α method, are chosen on the basis of accuracy and stability considerations; see [14, 30, 32].”
NURBS-based isogeometric analysis for the computation of flows about rotating components (2008, methodology): “The semi-discrete equations were advanced in time using the generalized-α method (see [12, 24 ]).”
Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method (2010, methodology): “The flow is advanced in time using the generalized-a method [4,13,33] and the nonlinear equations are solved using an inexact Newton–Krylov approach with the assembled element-by-element preconditioner (see [3] for implementation details and [9] for the linear equation preconditioning strategy).”
Weak Dirichlet Boundary Conditions for Wall-Bounded Turbulent Flows (2007, methodology): “The semi-discrete equations are advanced in time using the generalized-� method [7, 18 ].”