平面几何中的弱非线性不可压缩瑞利-泰勒-开尔文-赫尔姆霍兹不稳定性

IF 2 3区 物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS
Zhen-Qi Zou, Jun-Feng Wu, Guo-Wei Yang, Li-Feng Wang, Wei-Yan Zhang
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引用次数: 0

摘要

为二维不可压缩的雷利-泰勒-开尔文-赫姆霍兹不稳定性(RT-KHI)建立了一个弱非线性理论模型。通过对单模表面扰动引起的平面 RT-KHI 的三阶解,分析研究了扰动界面的演变。讨论了雷利-泰勒不稳定性(RTI)、开尔文-赫姆霍兹不稳定性(KHI)和平面 RT-KHI 的弱非线性增长之间的差异。详细讨论了气泡和尖峰振幅随阿特伍德数和理查德森数变化的趋势。随着理查德森数的增加,RT-KHI 的气泡和尖峰振幅从 KHI 情况变为 RTI 情况。随着理查森数的增加,气泡和尖峰顶点的偏转距离与 KHI 情况相比变得更小。得出了 RT-KHI 的非线性饱和振幅与 Atwood 数、Richardson 数和初始扰动的关系。理查德森数与阿特伍德数一样对非线性饱和振幅至关重要。研究发现,在不同理查森数下,非线性饱和振幅随阿特伍德数的变化分为三个部分,即 "类 RTI 部分"、"过渡部分 "和 "类 KHI 部分"。在过渡部分,非线性饱和振幅随阿特伍德数增加的趋势与 RTI 和 KHI 情况完全相反。最后,在初始条件相同的情况下,将理论与数值模拟进行了比较,结果表明在线性和弱非线性阶段两者之间具有良好的对应关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weakly nonlinear incompressible Rayleigh–Taylor–Kelvin–Helmholtz instability in plane geometry
A weakly nonlinear theoretical model is established for the two-dimensional incompressible Rayleigh–Taylor–Kelvin–Helmholtz instability (RT–KHI). The evolution of the perturbation interface is analytically studied by the third-order solution of the planar RT–KHI induced by a single-mode surface perturbation. The difference between the weakly nonlinear growth for Rayleigh–Taylor instability (RTI), Kelvin–Helmholtz instability (KHI), and RT–KHI in plane geometry is discussed. The trend of bubble and spike amplitudes with the Atwood number and the Richardson number is discussed in detail. The bubble and spike amplitudes of RT–KHI change from the KHI case to the RTI case as the Richardson number increases. The deflecting distance of bubble and spike vertices becomes smaller compared to the KHI case as the Richardson number increases. The dependence of the nonlinear saturation amplitude of RT–KHI on the Atwood number, the Richardson number, and the initial perturbation is obtained. The Richardson number is as vital to the nonlinear saturation amplitude as the Atwood number. It is found that the variation of the nonlinear saturation amplitude with the Atwood number at different Richardson numbers is divided into three parts, namely, “RTI-like part,” “transition part,” and “KHI-like part.” In the transition part, the trend of the nonlinear saturation amplitude increasing with the Atwood number is completely opposite to the RTI and KHI cases. Finally, the theory is compared to the numerical simulation under identical initial conditions and displays good correspondence in the linear and weakly nonlinear stages.
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来源期刊
Physics of Plasmas
Physics of Plasmas 物理-物理:流体与等离子体
CiteScore
4.10
自引率
22.70%
发文量
653
审稿时长
2.5 months
期刊介绍: Physics of Plasmas (PoP), published by AIP Publishing in cooperation with the APS Division of Plasma Physics, is committed to the publication of original research in all areas of experimental and theoretical plasma physics. PoP publishes comprehensive and in-depth review manuscripts covering important areas of study and Special Topics highlighting new and cutting-edge developments in plasma physics. Every year a special issue publishes the invited and review papers from the most recent meeting of the APS Division of Plasma Physics. PoP covers a broad range of important research in this dynamic field, including: -Basic plasma phenomena, waves, instabilities -Nonlinear phenomena, turbulence, transport -Magnetically confined plasmas, heating, confinement -Inertially confined plasmas, high-energy density plasma science, warm dense matter -Ionospheric, solar-system, and astrophysical plasmas -Lasers, particle beams, accelerators, radiation generation -Radiation emission, absorption, and transport -Low-temperature plasmas, plasma applications, plasma sources, sheaths -Dusty plasmas
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