@article{Kahouadji:2015:10.1017/jfm.2015.213,
author = {Kahouadji, L and Périnet, N and Tuckerman, LS and Shin, S and Chergui, J and Juric, D},
doi = {10.1017/jfm.2015.213},
journal = {Journal of Fluid Mechanics},
title = {Numerical simulation of super-square patterns in Faraday waves},
url = {http://dx.doi.org/10.1017/jfm.2015.213},
year = {2015}
}

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TY  - JOUR
AB  - 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.
AU  - Kahouadji,L
AU  - Périnet,N
AU  - Tuckerman,LS
AU  - Shin,S
AU  - Chergui,J
AU  - Juric,D
DO  - 10.1017/jfm.2015.213
PY  - 2015///
SN  - 1469-7645
TI  - Numerical simulation of super-square patterns in Faraday waves
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2015.213
UR  - http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9693451&fulltextType=RA&fileId=S002211201500213X
ER  - 

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