A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations
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Publication:1027807
DOI10.1007/s00466-008-0362-3zbMath1165.76027OpenAlexW2152448506MaRDI QIDQ1027807
Publication date: 30 June 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-008-0362-3
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
- Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements
- A multiscale/stabilized finite element method for the advection-diffusion equation
- A three-level finite element method for the instationary incompressible Navier-Stokes equations
- Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Parallel edge-based solution of viscoplastic flows with the SUPG/PSPG formulation
- Finite elements in fluids: stabilized formulations and moving boundaries and interfaces
- 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
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- 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
- Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
- \(b=\int g\)
- A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
- The discontinuous enrichment method for multiscale analysis.
- A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
- 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 unified approach to compressible and incompressible flows
- A better consistency for low-order stabilized finite element methods
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Revisiting stabilized finite element methods for the advective-diffusive equation
- A multiscale finite element method for the incompressible Navier-Stokes equations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- A hierarchical multiscale framework for problems with multiscale source terms
- On a two‐level finite element method for the incompressible Navier–Stokes equations
- Exact fully 3D Navier–Stokes solutions for benchmarking
- Unusual stabilized finite element methods and residual free bubbles
- Computation of moving boundaries and interfaces and stabilization parameters