A new finite element formulation for computational fluid dynamics: Development of an hourglass control operator for multidimensional advective-diffusive systems

DOI10.1016/0045-7825(92)90063-PzbMath0825.76420OpenAlexW2068983272MaRDI QIDQ1190688

Christine Poirier, Michel Mallet, Farzin Shakib

Publication date: 26 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90063-p

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems ⋮ A new finite element formulation for ALE (Arbitrary Lagrangian Eulerian) compressible fluid mechanics ⋮ Multi-domain parallel computation of wake flows ⋮ Predicting mixing microstructure in three-dimensional chaotic systems ⋮ Stabilized methods and post-processing techniques for miscible displacements

Cites Work

• Finite element stabilization matrices - A unification approach
• Analysis of hourglass instabilities and control in underintegrated finite element methods
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Hourglass control in linear and nonlinear problems
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• Some integration formulas for a four-node isoparametric element
• A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems

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