Capillary effects on wave breaking
Capillary effects on wave breaking
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DOI：
10.1017/jfm.2015.103
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发表时间：
2015-04-01
影响因子：
3.7
通讯作者：
Melville, W. Kendall
中科院分区：
文献类型：
--
作者：
Deike, Luc;Popinet, Stephane;Melville, W. Kendall
本文通过对气水两相流的Navier-Stokes方程的直接数值模拟，研究了毛细效应对波浪破碎的影响。在一个相对较高的雷诺数的邦德数，BO，和初始波陡度，E，进行参数研究。波破碎的发病作为这两个参数的函数的确定和相图方面（是一个元素，BO）提出区分非破碎重力波，寄生毛细管重力波，溢出断路器和暴跌断路器。在高邦德数时，临界陡度cc定义了波浪破碎的开始。在低邦德数时，表面张力的影响通过两个分离的边界来量化，第一个是重力-毛细波和破碎机，第二个是溢出和倾入破碎机;两个边界的缩放是类似于（1 + Bo）（-1/3）的元素。最后，对每种波型的波能耗散进行了估算，并讨论了陡度和表面张力效应对总波能耗散的影响。破碎参数B的估计和破碎波的实验结果发现是很好的协议。此外，由寄生毛细管增强的耗散与由于破碎波的耗散是一致的。
We investigate the influence of capillary effects on wave breaking through direct numerical simulations of the Navier-Stokes equations for a two-phase air-water flow. A parametric study in terms of the Bond number, Bo, and the initial wave steepness, E, is performed at a relatively high Reynolds number. The onset of wave breaking as a function of these two parameters is determined and a phase diagram in terms of (is an element of, Bo) is presented that distinguishes between non-breaking gravity waves, parasitic capillaries on a gravity wave, spilling breakers and plunging breakers. At high Bond number, a critical steepness cc defines the onset of wave breaking At low Bond number, the influence of surface tension is quantified through two boundaries separating, first gravity-capillary waves and breakers, and second spilling and plunging breakers; both boundaries scaling as is an element of similar to (1 + Bo)(-1/3). Finally the wave energy dissipation is estimated for each wave regime and the influence of steepness and surface tension effects on the total wave dissipation is discussed. The breaking parameter b is estimated and is found to be in good agreement with experimental results for breaking waves. Moreover, the enhanced dissipation by parasitic capillaries is consistent with the dissipation due to breaking waves.