The long-time \(L^2\) and \(H^1\) stability of linearly extrapolated second-order time-stepping schemes for the 2D incompressible Navier-Stokes equations
DOI10.1016/J.AMC.2018.09.022zbMath1428.76097OpenAlexW2896208657WikidataQ129111773 ScholiaQ129111773MaRDI QIDQ2008031
Sean Breckling, Sidney Shields
Publication date: 22 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.022
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 methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations
- Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
- An optimally accurate discrete regularization for second order timestepping methods for Navier-Stokes equations
- A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- Divergence-free finite elements on tetrahedral grids for $k\ge6$
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
- The Scott-Vogelius finite elements revisited
- A new family of stable mixed finite elements for the 3D Stokes equations
- Long time stability and convergence for fully discrete nonlinear galerkin methods
- On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems
- Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
- On the long‐time stability of the Crank–Nicolson scheme for the 2D Navier–Stokes equations
- On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations
- Unified form language
This page was built for publication: The long-time \(L^2\) and \(H^1\) stability of linearly extrapolated second-order time-stepping schemes for the 2D incompressible Navier-Stokes equations
