Herrero, H.; Hoyas, S.; Donoso, Arnaldo; Mancho, A. M.; Chacón, J. M.; Portugués, R. F.; Yeste, B. Chebyshev collocation for a convective problem in primitive variable formulation. (English) Zbl 1032.76653 J. Sci. Comput. 18, No. 3, 315-328 (2003). Summary: A Chebyshev collocation method is applied to the study of a thermal convection problem in the primitive variable formulation. This method has been succesfully applied to cylindrical coordinates and now it is extended to cartesian coordinates. The main challenge is to find appropriate boundary conditions for pressure. They are fixed mainly by projections of the Navier-Stokes equations at the boundaries. This scheme permits a collocation design which avoids spurious modes for pressure. Cited in 6 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76R10 Free convection 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:Chebyshev collocation; thermal convection; primitive variables formulation; pressure boundary conditions PDFBibTeX XMLCite \textit{H. Herrero} et al., J. Sci. Comput. 18, No. 3, 315--328 (2003; Zbl 1032.76653) Full Text: DOI