Krastev, Krastan; Schäfer, Michael A multigrid pseudo-spectral method for incompressible Navier-Stokes flows. (English. French summary) Zbl 1223.76046 C. R., Méc., Acad. Sci. Paris 333, No. 1, 59-64 (2005). Summary: A pseudo-spectral solver with multigrid acceleration for the numerical prediction of incompressible non-isothermal flows is presented. The spatial discretization is based on a Chebyshev collocation method on Gauss-Lobatto points and for the discretization in time the second-order backward differencing scheme (BDF2) is employed. The multigrid method is invoked at the level of algebraic system solving within a pressure-correction method. The approach combines the high accuracy of spectral methods with efficient solver properties of multigrid methods. The capabilities of the proposed scheme are illustrated by a buoyancy driven cavity flow as a standard benchmark case. Cited in 3 Documents MSC: 76M22 Spectral methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:computational fluid mechanics; multigrid methods; pseudo-spectral methods; incompressible flows PDFBibTeX XMLCite \textit{K. Krastev} and \textit{M. Schäfer}, C. R., Méc., Acad. Sci. Paris 333, No. 1, 59--64 (2005; Zbl 1223.76046) Full Text: DOI