4 results found
Kahouadji L, Périnet N, Tuckerman LS, et al., 2015, Numerical simulation of super-square patterns in Faraday waves, Journal of Fluid Mechanics, ISSN: 1469-7645
We report the first simulations of the Faraday instability using the full three-dimensional Navier–Stokes equations in domains much larger than the characteristic wavelength of the pattern. We use a massively parallel code based on a hybrid front-tracking/level-set algorithm for Lagrangian tracking of arbitrarily deformable phase interfaces. Simulations performed in square and cylindrical domains yield complex patterns. In particular, a superlattice-like pattern similar to those of Douady & Fauve (Europhys. Lett., vol. 6, 1988, pp. 221–226) and Douady (J. Fluid Mech., vol. 221, 1990, pp. 383–409) is observed. The pattern consists of the superposition of two square superlattices. We conjecture that such patterns are widespread if the square container is large compared with the critical wavelength. In the cylinder, pentagonal cells near the outer wall allow a square-wave pattern to be accommodated in the centre.
Kahouadji L, Witkowski LM, 2014, Free surface due to a flow driven by a rotating disk inside a vertical cylindrical tank: Axisymmetric configuration, Physics of Fluids, Vol: 26, Pages: 072105-072105, ISSN: 1070-6631
Kahouadji L, Houchens BC, Witkowski LM, 2011, Thermocapillary instabilities in a laterally heated liquid bridge with end wall rotation, Physics of Fluids, Vol: 23, Pages: 104104-104104, ISSN: 1070-6631
Kahouadji L, Witkowski LM, Le Quéré P, 2010, Seuils de stabilité pour un écoulement à surface libre engendré dans une cavité cylindrique tournante à petit rapport de forme, Mécanique & Industries, Vol: 11, Pages: 339-344, ISSN: 1296-2139
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