Moser, R. D.; Moin, P.; Leonard, A. A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow. (English) Zbl 0529.76034 J. Comput. Phys. 52, 524-544 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 58 Documents MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76E99 Hydrodynamic stability 76M99 Basic methods in fluid mechanics Keywords:spectral method; plane channel; between concentric cylinders; boundary conditions; continuity equation; banded matrices solved at each time step; reduction in computer memory requirements; Taylor-Couette flow with axisymmetric Taylor vortices and wavy vortices PDFBibTeX XMLCite \textit{R. D. Moser} et al., J. Comput. Phys. 52, 524--544 (1983; Zbl 0529.76034) Full Text: DOI References: [1] Orszag, S. A.; Kells, L. C., J. Fluid Mech., 96, 159-205 (1980) [2] Kleiser, L.; Schumann, U., (Hirschel, E. H., Proceedings of the Third GAMM-Conference on Numerical Methods in Fluid Mechanics (1980)), 165-173, Braunschweig [3] Patera, A. T.; Orszag, S. A., J. Fluid. Mech., 112, 467-474 (1981) [4] Marcus, P.; Patera, A.; Orszag, S. A., (Proceedings of the Ninth International Conference on Numerical Methods in Fluid Mechanics. Proceedings of the Ninth International Conference on Numerical Methods in Fluid Mechanics, Aachen (1982)), to be published [5] Moin, P.; Kim, J., J. Fluid Mech., 118, 341-377 (1982) [6] Moin, P.; Kim, J., J. Comput. Phys., 35, 381-392 (1980) [7] Leonard, A., Bull. Amer. Phys. Soc., 26, 1247 (1981) [8] Leonard, A.; Wray, A., (Proceedings of the Ninth International Conference on Numerical Methods in Fluid Mechanics. Proceedings of the Ninth International Conference on Numerical Methods in Fluid Mechanics, Aachen (1982)), to be published [9] Teman, R., Navier-Stokes Equations Theory and Numerical Analysis (1979), North-Holland: North-Holland Amsterdam/New York/Oxford · Zbl 0406.35053 [10] Patera, A. T.; Orszag, S. A., (Reynolds, W. C.; MacCormack, R. W., Proceedings of the Seventh International Conference on Numerical Methods in Fluid Mechanics (1980), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) [11] Stuart, J. T., Hydrodynamic Stability, (Rosenhead, L., Laminar Boundary Layers (1963), Oxford Univ. Press: Oxford Univ. Press London/New York), Chap. 9 · Zbl 0332.35019 [12] Gottlieb, D.; Orszag, S. A., Numerical Analysis of Spectral Methods, (NSF-CBMS Monograph (1977), society of Industrial Applied Mathematics: society of Industrial Applied Mathematics Philadelphia), No. 26 · Zbl 0561.76076 [13] Fox, L.; Parker, I. B., Chebychev Polynomials in Numerical Analysis (1968), Oxford Univ. Press: Oxford Univ. Press London/New York · Zbl 0153.17502 [14] Lee, L. H.; Reynolds, W. C., Quart. J. Mech. Appl. Math., 20, 1 (1967) [15] Coles, D., J. Fluid. Mech., 21, 385-425 (1965) [16] Fenstermacher, P. R.; Swinney, H. L.; Gollub, J. P., J. Fluid Mech., 94, 103-128 (1979) [17] Meyer, K. A., A Two-Dimensional, Time-Dependent Numerical Study of Rotational Couette Flow, (Dissertation (1966), Stanford Univ: Stanford Univ Stanford, Calif) [18] Donnelly, R. J.; Simon, N. J., J. Fluid. Mech., 7, 401-418 (1960) [19] DiPrima, R. C.; Eagles, P. M., Phys. Fluids, 20, 171-175 (1977) [20] Jones, C. A., J. Fluid Mech., 102, 249-261 (1981) [21] Mansour, N. N.; Moin, P.; Reynolds, W. C.; Ferziger, J. H., (Durst, F.; Launder, B. E.; Schmidt, F. W., Turbulent Shear Flows I (1979), Springer: Springer New York), 379-385 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.