Single-Grid Spectral Collocation for the Navier-Stokes Equations
- 1 April 1990
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 10 (2) , 253-297
- https://doi.org/10.1093/imanum/10.2.253
Abstract
The aim of the paper is to study a collocation spectral method to approximate the Navier-Stokes equations: only one grid is used, which is built from the nodes of a Gauss-Lobatto quadrature formula, either of Legendre or of Chebyshev type. The convergence is proved for the Stokes problem provided with inhomogeneus Dirichlet conditions, then thoroughly analysed for the Navier-Stokes equations. The practical implementation algorithm is presented, together with numerical results.Keywords
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