论文信息 - A spectral-Tau approximation for the Stokes and Navier-Stokes equations

A spectral-Tau approximation for the Stokes and Navier-Stokes equations

Une nouvelle formulation de type spectral-Tau pour les equations de Stokes est proposee. L'approximation de la pression du nouveau schema ne contient aucun mode parasite et le schema est facile a mettre en œuvre numeriquement. La convergence spectrale est demontree et confirmee par des resultats numeriques

Jie Shen | Jie Shen

[1] F. Brezzi. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .

[2] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .

[3] U. Schumann,et al. Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows , 1980 .

[4] A. Quarteroni,et al. Approximation results for orthogonal polynomials in Sobolev spaces , 1982 .

[5] Claudio Canuto,et al. Generalized INF-SUP condition for Chebyshev approximation of the Navier-Stokes equations , 1986 .

[6] U. Ehrenstein. Méthodes spectrales de résolution des équations de Stokes et de Navier-Stokes : application à des écoulements de convection double diffusive , 1986 .

[7] Yvon Maday,et al. Spectral approximation of the periodic-nonperiodic Navier-Stokes equations , 1987 .

[8] Giovanni Sacchi Landriani,et al. Spectral Tau approximation of the two-dimensional stokes problem , 1988 .