arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0901.0464physics.flu-dynnlin.PS
收藏

法拉第波的数值模拟

Numerical simulation of Faraday waves

Nicolas Perinet, Damir Juric, Laurette S. Tuckerman

摘要:

我们数值模拟了两种不可压缩和不可混溶的粘性流体的法拉第波在三维空间的完整动力学。纳维-斯托克斯方程求解采用有限差分投影法耦合前跟踪法的两种流体之间的界面。计算区域在水平方向上是周期性的,在垂直方向上由两个刚性水平板限定。临界加速度和波数,以及在发病时的时间行为进行了比较与Kumar和Tuckerman [J.流体机械279,49-68(1994)]的线性Floquet分析的结果。将有限振幅结果与Kityk等人的实验[Phys.Rev.E72,036209(2005)]进行了比较。特别是,我们重现详细的时空光谱的正方形和六边形的模式在实验的不确定性。

英文摘要:

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 domain of calculation is periodic in the horizontal directions and bounded in the vertical direction by two rigid horizontal plates. 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 and Tuckerman [J. Fluid Mech. 279, 49-68 (1994)]. The finite amplitude results are compared with the experiments of Kityk et al. [Phys. Rev. E 72, 036209 (2005)]. In particular we reproduce the detailed spatiotemporal spectrum of both square and hexagonal patterns within experimental uncertainty.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑