Numerical simulation of Faraday waves
Numerical simulation of Faraday waves
复制标题
DOI：
10.1017/s0022112009007551
复制
发表时间：
2008-11
影响因子：
3.7
通讯作者：
N. Périnet;D. Juric;L. Tuckerman
中科院分区：
文献类型：
--
作者：
N. Périnet;D. Juric;L. Tuckerman
本文对两种不可压缩非混相粘性流体的三维法拉第波动力学进行了数值模拟。Navier-Stokes方程采用有限差分投影法和前向跟踪法求解。临界加速度和波数以及开始时的时间行为与库马尔和塔克曼（J.流体力学）的线性Floquet分析结果进行了比较。，第279卷，1994年，第49页)。将有限幅值实验结果与Kityk等人的实验结果进行了比较。Rev. E, vol. 72, 2005, p. 036209)。特别地，我们在实验不确定度内再现了正方形和六边形图案的详细时空谱。我们提出了由法拉第不稳定性引起的六边形图形的三维速度场的第一个计算，因为它在其振荡周期内变化。
We simulate numerically the full dynamics of Faraday waves in three dimensions for two incompressible and immiscible viscous fluids. The Navier–Stokes equations are solved using a finite-difference projection method coupled with a front-tracking method for the interface between the two fluids. The critical accelerations and wavenumbers, as well as the temporal behaviour at onset are compared with the results of the linear Floquet analysis of Kumar & Tuckerman (J. Fluid Mech., vol. 279, 1994, p. 49). The finite-amplitude results are compared with the experiments of Kityk et al (Phys. Rev. E, vol. 72, 2005, p. 036209). In particular, we reproduce the detailed spatio-temporal spectrum of both square and hexagonal patterns within experimental uncertainty. We present the first calculations of a three-dimensional velocity field arising from the Faraday instability for a hexagonal pattern as it varies over its oscillation period.