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SPECTRAL METHOD AND VORTICITY-POTENTIAL VECTOR FORMULATION FOR THREE-DIMENSIONAL CYLINDRICAL CONVECTION

Richard Pasquetti
Laboratoire Systemes Energetiques et Transferts Thermiques, U.A. 1168 Centre de St. Jerome Avenue Escadrille Normandie Niemen 13397 Marseille, France

R. Peyret
Lab. de Mathématiques, URA CNRS 168, Université de Nice-Sophia Antipolis, Pare Valrose, 06108 Nice cedex 2, France

J. M. Lacroix
Lab. de Mathématiques, URA CNRS 168, Université de Nice-Sophia Antipolis, Pare Valrose, 06108 Nice cedex 2, France

R. Bwemba
Lab. de Mathématiques, URA CNRS 168, Université de Nice-Sophia Antipolis, Pare Valrose, 06108 Nice cedex 2, France

Sinopsis

In this paper it is described how the spectral method and the vorticity - potential vector formulation can be handled for the computation of 3D convection in a cylindrical geometry. One example of Rayleigh-Bénard convection in a vertical cylinder is produced.

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