A multiscale finite element method for the incompressible Navier-Stokes equations (Q2372502)

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English	A multiscale finite element method for the incompressible Navier-Stokes equations	scientific article

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scholarly article

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title

A multiscale finite element method for the incompressible Navier-Stokes equations (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

27 July 2007

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zbMATH Keywords

Navier-Stokes equations

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multiscale finite elements

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stabilized methods

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hvm formulation

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arbitrary pressure-velocity interpolations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2005.05.048

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cites work

Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)

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Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows

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A relationship between stabilized finite element methods and the Galerkin method with bubble functions

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\(b=\int g\)

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Further considerations on residual-free bubbles for advective-diffusive equations

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Modeling subgrid viscosity for advection-diffusion problems

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Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes

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Bubble functions prompt unusual stabilized finite element methods.

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Unusual stabilized finite element methods and residual free bubbles

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Stabilized finite element methods. II: The incompressible Navier-Stokes equations

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On a two‐level finite element method for the incompressible Navier–Stokes equations

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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

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A three-level finite element method for the instationary incompressible Navier-Stokes equations

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An experimental investigation of the steady separated flow past a circular cylinder

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A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations

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A comparative study of different sets of variables for solving compressible and incompressible flows

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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Q3773481

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The variational multiscale method -- a paradigm for computational mechanics

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A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations

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Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations

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A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes --application to vortex shedding

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Application of multi-scale finite element methods to the solution of the Fokker-Planck equation

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A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems

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A stabilized mixed finite element method for Darcy flow

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A multiscale/stabilized finite element method for the advection-diffusion equation

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Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.

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Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations

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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

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A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

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Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements

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Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations

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Identifiers

zbMATH Open document ID

1178.76233

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DOI

10.1016/j.cma.2005.05.048

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2372502