Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
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Publication:1867587
DOI10.1016/S0045-7825(02)00337-7zbMath1015.76045MaRDI QIDQ1867587
Publication date: 2 April 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
decompositionfinite difference schemeFourier analysisstabilized finite element methodconvection-dominated flowsorthogonal subscalestransient Navier-Stokes equationsequal velocity-pressure interpolations
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
- Unnamed Item
- Unnamed Item
- A nonlinear Galerkin method for the Navier-Stokes equations
- A modified streamline diffusion method for solving the stationary Navier- Stokes equation
- 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 finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- An analysis of a mixed finite element method for the Navier-Stokes equations
- The variational multiscale method -- a paradigm for computational mechanics
- On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method
- Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
- \(b=\int g\)
- A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
- Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations
- Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations
- A term by term stabilization algorithm for finite element solution of incompressible flow problems
- Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Stabilized finite element methods for singularly perturbed parabolic problems
- Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
- A better consistency for low-order stabilized finite element methods
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Residual-free bubbles for advection-diffusion problems: The general error analysis
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
- Modelling of the interaction of small and large eddies in two dimensional turbulent flows
- Mixed and Hybrid Finite Element Methods
- The Additive Turbulent Decomposition for the Two-Dimensional Incompressible Navier--Stokes Equations: Convergence Theorems and Error Estimates
- Multilevel Methods in Space and Time for the Navier--Stokes Equations
- Nonlinear Galerkin Methods
- A numerical model to track two‐fluid interfaces based on a stabilized finite element method and the level set technique
- Optimal Selection of the Bubble Function in the Stabilization of the P1-P1 Element for the Stokes Problem
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 2: Applications
- A stabilized finite element method for generalized stationary incompressible flows
- Large eddy simulation and the variational multiscale method
- Space and time error estimates for a first-order, pressure-stabilized finite element method for the incompressible Navier-Stokes equations
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