Vortex dynamics in nonlinear free surface flows
Vortex dynamics in nonlinear free surface flows
复制标题
非线性自由表面流中的涡动力学
DOI：
10.1063/1.4977801
复制
发表时间：
2017
影响因子：
4.6
通讯作者：
H. Kalisch
中科院分区：
文献类型：
--
作者：
C. Curtis;H. Kalisch
研究了具有自由表面和不可渗透床的无粘性流体中点涡旋的二维运动。这项工作基于使用 Ablowitz、Fokas 和 Musslimani 公式的变体形成表面变量和涡旋位置的封闭方程组 [M. J. Ablowitz、A. S. Fokas 和 Z. H. Musslimani、J. Fluid Mech。 562, 313–343 (2006)]水波自由表面问题。使用狄利克雷-诺依曼算子的高阶近似和高阶时间步进方案，通过去混叠谱方法对方程进行近似。数值模拟表明，涡旋运动和固体底部边界的结合产生了在无限深流体中的涡旋运动情况下未见的有趣动力学。特别是，观察到自由表面的强烈变形，包括不对称的表面轮廓和大能量集中的区域。我们的模拟还揭示了丰富多样的涡旋轨迹，包括......
The two-dimensional motion of point vortices in an inviscid fluid with a free surface and an impenetrable bed is investigated. The work is based on forming a closed system of equations for surface variables and vortex positions using a variant of the Ablowitz, Fokas, and Musslimani formulation [M. J. Ablowitz, A. S. Fokas, and Z. H. Musslimani, J. Fluid Mech. 562, 313–343 (2006)] of the water-wave free-surface problem. The equations are approximated with a dealiased spectral method making use of a high-order approximation of the Dirichlet-Neumann operator and a high-order time-stepping scheme. Numerical simulations reveal that the combination of vortex motion and solid bottom boundary yields interesting dynamics not seen in the case of vortex motion in an infinitely deep fluid. In particular, strong deformations of the free surface, including non-symmetric surface profiles and regions of large energy concentration, are observed. Our simulations also uncover a rich variety of vortex trajectories including ...