A finite element formulation for transient incompressible viscous flows stabilized by local time-steps
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Publication:2495588
DOI10.1016/j.cma.2004.07.020zbMath1091.76042OpenAlexW2141103056MaRDI QIDQ2495588
Publication date: 30 June 2006
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.2004.07.020
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- 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. II. Beyond SUPG
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- 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
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Bubble functions prompt unusual stabilized finite element methods.
- Stabilized finite element methods with shock capturing for advection-diffusion problems
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- A comparative study of different sets of variables for solving compressible and incompressible flows
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- A Taylor-Galerkin method for convective transport problems
- The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Mixed and Hybrid Finite Element Methods
- Incompressibility without tears—HOW to avoid restrictions of mixed formulation
- A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
- An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
- A stabilized finite element procedure for turbulent fluid–structure interaction using adaptive time–space refinement
- A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
- A natural derivation of discontinuity capturing operator for convection-diffusion problems