II. The Saffman-Taylor Instability.
Removing the Stiffness from Interfacial Flows with Surface
Journal of Computational Physics , Vol. 114, p. 312, 1994.
T.Y. Hou (Caltech), J.S. Lowengrub (Minnesota), and M.J. Shelley (Courant)
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III. Bubble Instability in a Time-Dependent Gap. Krzysztof
Wlodarski and Michael Shelley
This simulation shows the Saffman-Taylor instability of a drop of fluid, resulting from the lifting of the plate in a Hele-Shaw cell. Again, this simulation is based upon a boundary integral formulation of the equations of motion and employs the Small-Scale Decomposition to remove high-order time-stepping constraints, and the GMRES iterative technique for the efficient solution of integral equations.
Hele-Shaw Flow and Pattern Formation in a Time-Dependent
by M.J. Shelley, F.-R. Tian (Ohio State), and K. Wlodarski,
in Nonlinearity, Vol. 10, p. 1471, 1997.
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