Sajjadi, Shahrdad G. A variational principle for the Navier-Stokes equations incorporating finite element approximation to high-Re flows. (English) Zbl 0977.76053 Math. Eng. Ind. 8, No. 1, 41-64 (2000). A variational principle is proposed to construct a finite element approximation for two-dimensional Navier-Stokes steady cavity lid-driven flows. The discrete equations are solved by a multigrid method. Solutions are constructed for the Reynolds number in the range between 1000 and 10000 on a uniform rectangular mesh consisting of \(120\times 120\) grid points. Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76M30 Variational methods applied to problems in fluid mechanics 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Navier-Stokes equations; variational principle; finite element approximation; cavity lid-driven flows; multigrid method; uniform rectangular mesh PDFBibTeX XMLCite \textit{S. G. Sajjadi}, Math. Eng. Ind. 8, No. 1, 41--64 (2000; Zbl 0977.76053)