A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations
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Publication:5165448
DOI10.1137/21M1394709zbMath1477.35115OpenAlexW3181119950MaRDI QIDQ5165448
Alejandro Allendes, Gabriel R. Barrenechea, Julia Novo
Publication date: 16 November 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1394709
stabilized finite element methodsdivergence-free finite element methodevolutionary Navier-Stokes equations
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (4)
An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes ⋮ A modified convective formulation in Navier-Stokes simulations ⋮ Analysis of a stabilised finite element method for power-law fluids ⋮ On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
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Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Adaptive time step control for the incompressible Navier-Stokes equations
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Generalized finite element systems for smooth differential forms and Stokes' problem
- Divergence-free \(H(\operatorname{div})\)-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics
- Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Theory and practice of finite elements.
- A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
- Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem
- On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
- Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows
- On conservation laws of Navier-Stokes Galerkin discretizations
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Finite Element Methods for Incompressible Flow Problems
- Conforming and divergence-free Stokes elements on general triangular meshes
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Consistent Local Projection Stabilized Finite Element Methods
- On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder
- Stability and approximability of the 1–0 element for Stokes equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Spline Functions on Triangulations
- Finite Element Methods for Navier-Stokes Equations
- Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- The Scott-Vogelius finite elements revisited
- A new family of stable mixed finite elements for the 3D Stokes equations
- H(div) conforming and DG methods for incompressible Euler’s equations
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- Mixed Finite Element Methods and Applications
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
- Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier–Stokes equations
- Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids
- Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation
- Error analysis of non inf-sup stable discretizations of the time-dependent Navier–Stokes equations with local projection stabilization
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
- The Mathematical Theory of Finite Element Methods
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
- An exactly divergence-free finite element method for a generalized Boussinesq problem
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