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International Journal for Numerical Methods in Fluids, Vol.12 No.9. A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows / Mehdi R. Khorrami
in International journal for numerical methods in fluids
Titre de série : International Journal for Numerical Methods in Fluids, Vol.12 No.9 Titre : A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows Type de document : document imprimé Auteurs : Mehdi R. Khorrami, Auteur Année de publication : 1991 Importance : p.825-833 Langues : Anglais (eng) Mots-clés : CHEBYSHEV APPROXIMATION COMPUTATIONAL FLUID DYNAMICS COMPUTATIONAL GRIDS CYLINDRICAL BODIES FLOW STABILITY PIPE FLOW SPECTRAL METHODS BOUNDARY CONDITIONS COLLOCATION PRESSURE GRADIENTS STAGGERING Résumé : A staggered spectral collocation method for the stability of cylindrical flows is developed. In this method the pressure is evaluated at different nodal points than the three velocity components. These modified nodal points do not include the two boundary nodes therefore the need for the two artificial pressure boundary conditions employed by Khorrami et al. is eliminated. It is shown that the method produces very accurate results and has a better convergence rate than the spectral tau formulation. However, through extensive convergence tests it was found that elimination of the artificial pressure boundary conditions does not result in any significant change in the convergence behavior of spectral collocation methods.
in International journal for numerical methods in fluids
International Journal for Numerical Methods in Fluids, Vol.12 No.9. A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows [document imprimé] / Mehdi R. Khorrami, Auteur . - 1991 . - p.825-833.
Langues : Anglais (eng)
Mots-clés : CHEBYSHEV APPROXIMATION COMPUTATIONAL FLUID DYNAMICS COMPUTATIONAL GRIDS CYLINDRICAL BODIES FLOW STABILITY PIPE FLOW SPECTRAL METHODS BOUNDARY CONDITIONS COLLOCATION PRESSURE GRADIENTS STAGGERING Résumé : A staggered spectral collocation method for the stability of cylindrical flows is developed. In this method the pressure is evaluated at different nodal points than the three velocity components. These modified nodal points do not include the two boundary nodes therefore the need for the two artificial pressure boundary conditions employed by Khorrami et al. is eliminated. It is shown that the method produces very accurate results and has a better convergence rate than the spectral tau formulation. However, through extensive convergence tests it was found that elimination of the artificial pressure boundary conditions does not result in any significant change in the convergence behavior of spectral collocation methods. Réservation
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