A multiscale finite element method for the incompressible Navier-Stokes equations
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Publication:2372502
DOI10.1016/j.cma.2005.05.048zbMath1178.76233OpenAlexW2121204181MaRDI QIDQ2372502
Publication date: 27 July 2007
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2005.05.048
Navier-Stokes equationsstabilized methodsmultiscale finite elementsarbitrary pressure-velocity interpolationshvm formulation
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- A multiscale/stabilized finite element method for the advection-diffusion equation
- A three-level finite element method for the instationary incompressible Navier-Stokes equations
- A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes --application to vortex shedding
- Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
- A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- Application of multi-scale finite element methods to the solution of the Fokker-Planck equation
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
- 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
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
- 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 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
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- The variational multiscale method -- a paradigm for computational mechanics
- Further considerations on residual-free bubbles for advective-diffusive equations
- Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
- \(b=\int g\)
- Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations
- A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
- Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
- Bubble functions prompt unusual stabilized finite element methods.
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Modeling subgrid viscosity for advection-diffusion problems
- A stabilized mixed finite element method for Darcy flow
- A comparative study of different sets of variables for solving compressible and incompressible flows
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- On a two‐level finite element method for the incompressible Navier–Stokes equations
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- Unusual stabilized finite element methods and residual free bubbles
- An experimental investigation of the steady separated flow past a circular cylinder
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