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Ribando, R. J.; Shadday, M. A. jun.

The Ekman matching condition in a partially filled, rapidly rotating cylinder. (English) Zbl 0524.76096

J. Comput. Phys. 53, 266-288 (1984).
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Cited in 2 Documents

MSC:

76U05 General theory of rotating fluids
65N06 Finite difference methods for boundary value problems involving PDEs

Keywords:

stable algorithm; analytical matching condition; partially filled, rapidly rotating cylinder; liquid-air interface; non-wheel-flow velocity; Ekman boundary layers; Ekman matching condition; MAC derived, time marching; fully implicit implementation

Software:

LINPACK
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Full Text: DOI

References:

[1] Shadday, M. A.; Ribando, R. J.; Kauzlarich, J. J., Flow of an incompressible fluid to a partially filled, rapidly rotating cylinder with a differentially rotating endcap, J. Fluid Mech., 130, 203-218 (1983)
[2] Greenspan, H. P., Simulation of Countercurrent Flow in a Gas Centrifuge, UVA-ER-746-82U (1982)
[3] Greenspan, H. P., The Theory of Rotating Fluids (1968), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0182.28103
[5] Harlow, F. H.; Welch, J. E., Numerical calculations of time-dimendent viscous incompressible flow of fluid with free surface, Phys. Fluids, 8, 12, 2182-2189 (1965) · Zbl 1180.76043
[6] Doncarra, J. J.; Moler, C. B.; Bunch, J. R.; Stewart, G. W., (LINPACK User’s Guide (1979), SIAM: SIAM Philadelphia)
[7] Beardsley, R. C.; Saunders, K. D.; Warn-Varnas, A. C.; Harding, J. M., An experimental and numerical study of the secular spin-up of a thermally stratified rotating fluid, J. Fluid Mech., 93, 1, 161-184 (1979)
[8] Harlow, F. H.; Amsden, A. A., A numerical fluid dynamics method for all flow speeds, J. Comp. Phys., 8, 197-213 (1971) · Zbl 0221.76011
[9] Hirt, C. W.; Nichols, B. D., Adding limited compressibility to incompressible hydrocodes, J. Comp. Phys., 34, 390-400 (1980) · Zbl 0418.76046
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