Analysis of some low-order finite element schemes for the Navier-Stokes equations

DOI10.1016/0021-9991(83)90093-1zbMath0513.76022OpenAlexW2086513135MaRDI QIDQ1050856

Michael John Priestley Cullen

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90093-1

zbMATH Keywords

truncation error analysislow order schemesbilinear velocitycoarse gridsMAC stencilpiecewise constant pressure

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (2)

Natural convection at very high Rayleigh numbers ⋮ Experiments with some low-order finite element schemes for the Navier- Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• A mathematical introduction to fluid mechanics
• Experiments with some low-order finite element schemes for the Navier- Stokes equations
• Finite element MAC scheme in general curvilinear coordinates
• Analysis of evolutionary error in finite element and other methods
• The use of quadratic finite element methods and irregular grids in the solution of hyperbolic problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Optimal finite element solutions to diffusion-convection problems in one dimension
• Optimal Petrov—Galerkin Methods through Approximate Symmetrization
• Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Structure of the set of stationary solutions of the navier‐stokes equations

This page was built for publication: Analysis of some low-order finite element schemes for the Navier-Stokes equations