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Ruschak, Kenneth J.

A three-dimensional linear stability analysis for two-dimensional free boundary flows by the finite-element method. (English) Zbl 0526.76044

Comput. Fluids 11, 391-401 (1983).
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Cited in 5 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76E99 Hydrodynamic stability
76M99 Basic methods in fluid mechanics

Keywords:

two-dimensional; steady; free boundaries; surface tension; small, three- dimensional disturbances; finite-element method; matrix eigenvalue problem; stability predictions for stationary layer and air displacing liquid in Hele-Shaw cell
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References:

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[2] Saffman, P. G.; Taylor, G. I., The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, (Proc. Roy. Soc. London, A245 (1958)), 312 · Zbl 0086.41603
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[9] Omodei, B. J., Computer solutions of a plane Newtonian jet with surface tension, Comp. Fluids, 7, 79 (1979) · Zbl 0423.76031
[10] Silliman, W. J.; Scriven, L. E., Separating flow near a static contact line: slip at a wall and shape of a free surface, J. Comp. Phys., 34, 287 (1980) · Zbl 0486.76064
[11] Ruschak, K. J., A method for incorporating free boundaries in finite element fluid-flow simulators, Int. J. Num. Meth. Engng, 15, 639 (1980) · Zbl 0426.76038
[12] Li, Y. S.; Kot, S. C., One-dimensional finite element method in hydrodynamic stability, Int. J. Num. Meth. Engng, 17, 853 (1981) · Zbl 0458.76030
[13] Saraph, V. R.; Rao, B. V.; Panikar, J. T., Stability of parallel flows by the finite element method, Int. J. Num. Meth. Engng, 14, 1257 (1979) · Zbl 0408.76021
[14] Hood, P., Frontal solution program for unsymmetric matrices, Int. J. Num. Meth. Engng, 10, 379 (1976) · Zbl 0322.65013
[15] Ruschak, K. J., Boundary conditions at a liquid/air interface in lubrication flows, J. Fluid Mech., 119, 107 (1982) · Zbl 0498.76034
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