过海龙,张 莹,李文彬,等.基于界面追踪法的KHI直接数值模拟[J].内燃机工程,2021,42(3):16-25.
基于界面追踪法的KHI直接数值模拟
Direct numerical simulation of Kelvin–Helmholtz instability based on Front Tracking Method
DOI：10.13949/j.cnki.nrjgc.2021.03.003
关键词:KHI  界面跟踪法  卷起高度  增长速率  界面比较图  
Key Words:Kelvin–Helmholtz instability  Front Tracking Method  Billow height  Growth rate  Interface comparison
基金项目:国家自然科学基金资助(11562011, 51566012),江西省自然科学基金资助(20181BAB206031)；
作者单位E-mail
过海龙 南昌大学 机电工程学院 1240427951@qq.com 
张 莹* 南昌大学 机电工程学院 yzhan2033@163.com 
李文彬 南昌大学 机电工程学院  
李培生 南昌大学 机电工程学院  
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摘要:利用界面追踪法对三组分不混溶流体的开尔文-亥姆霍兹不稳定性(Kelvin–Helmholtz instability,KHI)进行直接数值模拟。并针对中间流体层密度及黏度、重力、表面张力以及剪切力对KHI的影响进行了着重探讨。研究结果表明,理查森数(Ri)不仅能够抑制界面的演化,同时还会限制界面的退化。除此之外,卷起高度(h)和KHI的增长速率(γ)与弗劳德数(Fr)之间呈正相关关系。表面张力能够抑制KHI向内发展,随着表面张力系数的增大,KHI向内的发展会逐渐变慢。但当波数较小时,表面张力对KHI向上发展的影响却很小。并且当界面的波数大于4时,不会触发KHI的典型形式。剪切力对KHI的发展有着显著的影响。
Abstract:Numerical simulation for the development of K-H(Kelvin–Helmholtz) instability of the three-component immiscible fluids had been performed with the Front Tracking Method (FTM). This study focuses on the effect of density and viscosity of intermediate fluid layer, the gravity, surface tension and shear force on K-H instability. It is found that the Richardson number(Ri) not only inhibits the evolution of interface but also limits the degradation of interface. It is also observed that the Froude number is positively correlated to the billow height and the numerical growth rate. The influence of surface tension on the inward development of K-H instability is more important than that on the upward development of K-H instability if the wave number is not very large. Besides, the typical form of K-H instability is not triggered when the wave number greater than 4. The larger the shear force is, the bigger billow height and numerical growth rate of interface is.
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