Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations
DOI10.1007/s10483-013-1729-xzbMath1277.76060OpenAlexW2331540190MaRDI QIDQ386160
Gang Chen, Min-Fu Feng, Yin-Nian He
Publication date: 9 December 2013
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-013-1729-x
Navier-Stokes equationhigh Reynolds numberdiscrete Gronwall's inequalityfinite difference streamline diffusion methodLadyzhenskaya-Babuška-Brezzi (LBB) condition
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element methods for linear hyperbolic problems
- A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems
- Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems
- The finite difference streamline diffusion method for the incompressible Navier-Stokes equations.
- A new absolutely stable simplified Galerkin least-squares finite element method using nonconforming element for the Stokes problem
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
- A Least Squares Petrov-Galerkin Finite Element Method for the Stationary Navier-Stokes Equations