Incompressible Navier-Stokes computations with stable and stabilized space-time formulations: a comparative study

DOI10.1002/cnm.507zbMath1034.76032OpenAlexW2016139120MaRDI QIDQ4543811

André Garon, André Fortin, D. N'Dri

Publication date: 8 August 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.507

zbMATH Keywords

pressurevelocityinf-sup conditionpiecewise linear functionsbubble functionsimplex-type meshesmixed space-time finite element methodsspace-time mini elementstabilized Galerkin/least-squares space-time method

Mathematics Subject Classification ID

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

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Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow, An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains

Cites Work

• A stable finite element for the Stokes equations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests
• A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
• Some current CFD issues relevant to the incompressible Navier-Stokes equations
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
• Finite element stabilization parameters computed from element matrices and vectors
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
• Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step
• Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain
• Mixed and Hybrid Finite Element Methods
• Is the steady viscous incompressible two‐dimensional flow over a backward‐facing step at Re = 800 stable?
• Error Estimates and Automatic Time Step Control for Nonlinear Parabolic Problems, I
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