Abstract
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 appropiate 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.
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Herrero, H., Hoyas, S., Donoso, A. et al. Chebyshev Collocation for a Convective Problem in Primitive Variable Formulation. Journal of Scientific Computing 18, 315–328 (2003). https://doi.org/10.1023/A:1022678124929
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DOI: https://doi.org/10.1023/A:1022678124929