B314 粘性流体のファラデー波についての数値的研究

概要

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The standing surface waves of a viscous fluid driven parametrically by a vertical harmonic oscillation is investigated based on direct numerical simulations of the two-dimensional Navier-Stokes equation together with appropriate boundary conditions. The condition of the onset of the waves in the experiments by Lioubashevski et al [Phys. Rev. Lett. 76,3959 (1996)] is reproduced by the numerical simulation. The form of the surface elevation is analyzed and the dependence of the saturated amplitude on the forcing strength shows a normal bifurcation. Instead of the localized state the spatially uniform standing waves are formed in an extended system. When the viscous boundary condition is applied at the side-walls, a transition from a symmetric wave to an asymmetric one occurs as time goes and complicated corrugated surface waves are also observed.
日本流体力学会の論文
2000-07-25