Shifted polynomials in a convection problem

Ioana Dragomirescu

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arXiv · 0709.2240

Shifted polynomials in a convection problem

Ioana Dragomirescu

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Abstract

The onset of convection in a horizontal layer of fluid heated from below in the presence of a gravity field varying across the layer is investigated. The eigenvalue problem governing the linear stability of the mechanical equilibria of the fluid layer in the case of free boundaries is solved using a Galerkin method based on shifted polynomials (Legendre and Chebyshev polynomials).

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Ioana Dragomirescu. 2007-09-14. Shifted polynomials in a convection problem. https://arxiv.org/abs/0709.2240

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