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Comparaison des méthodes Tau-Chebyshev et Galerkin dans l’étude de stabilité des mouvements de convection naturelle. Problème des valeurs propres parasites (Tau-Chebyshev and Galerkin methods for stability of convective motions in a cavity. Spurious eigenvalues problem). (French) Zbl 0595.76045
Summary: Stability of convective motions in a cavity differentially heated is studied with small perturbations method. Two methods are used to compare their efficiency. We discuss the problem of spurious eigenvalues, previously discovered by other authors. Neutral stability curves, oscillatory or steady, are given for three values of Prandtl number: \(\Pr =0.7\), \(\Pr =6.7\), \(\Pr =1,000\).

76E15 Absolute and convective instability and stability in hydrodynamic stability
76M99 Basic methods in fluid mechanics