共查询到17条相似文献,搜索用时 46 毫秒
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利用高精度数值格式,研究了二维可压缩流体中的Kelvin-Helmholtz不稳定性,主要研究了可压缩性对Kelvin-Helmholtz稳定性增长率的影响.模拟定量的给出低Mach和高Mach数两种情况下,初始静压和对流Mach数以及Kelvin-Helmholtz不稳定性线性增长率的关系.模拟结果和自由剪切层以及混合层的实验结果以及理论分析一致.模拟表明,对流Mach数是描述流体可压缩性的合适参数,对流Mach数越小流体越不可压,Kelvin-Helmholtz不稳定性的线性增长率随对流Mach数的增加而减小.
关键词:
Kelvin-Helmholtz不稳定性
可压缩流体
Mach数
超音速流体 相似文献
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Kelvin-Helmholtz不稳定性(KHI)是流体和等离子体的基本物理过程,广泛存在于自然、天体物理以及高能量密度物理现象中.本文提出一种新的实验方案产生磁化KHI.利用开源的FLASH模拟程序对激光驱动调制靶产生的KHI进行了二维的数值模拟,考察和比较了KHI涡旋在毕尔曼自生磁场、外加磁场和无磁场情况下的演化.模拟结果表明自生磁场在KHI演化过程中基本不会改变KHI涡旋的形貌,而平行于流体方向的外加磁场对剪切流有致稳作用,主要稳定长波扰动.该研究结果可为在高能量密度激光装置中开展强磁环境下KHI实验提供理论指导. 相似文献
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通过将扰动速度势展至三阶,提出了Kelvin-Helmholtz(KH)不稳定性的弱非线性理论.在模耦合过程中观察到一个重要的共振现象,共振使得模耦合过程变得相当复杂,单模扰动很快进入非线性区,产生大量高次谐波,共振加强了非线性作用.分析了单模扰动中二次和三次谐波产生效应,以及对基模指数增长的非线性校正.模拟结果支持了解析理论.利用该理论,分析了KH不稳定的非线性阈值问题.
关键词:
Kelvin-Helmholtz不稳定性
弱非线性理论
非线性阈值 相似文献
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A weakly nonlinear model is proposed for multimode Kelvin-Helmholtz instability. The second-order mode coupling formula for Kelvin-Helmholtz instability in two-dimensional incompressible fluid is presented by expanding the perturbation velocity potential to second order. It is found that there is an important resonance in the course of the sum frequency mode coupling but the difference frequency mode coupling does not have. This resonance makes the sum frequency mode coupling process relatively complex. The sum frequency mode coupling is strongly dependent on time especially when the density of the two fluids is adjacent and the difference frequency mode coupling is not. 相似文献
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WANG Li-Feng YE Wen-Hua FAN Zheng-Feng LI Ying-Jun 《理论物理通讯》2009,51(5):909-913
The sixth-order accurate phase error flux-corrected transport numerical algorithm is introduced, and used to simulate Kelvin-Helmholtz instability. Linear growth rates of the simulation agree with the linear theories of Kelvin Helmholtz instability. It indicates the validity and accuracy of this simulation method. The method also has good capturing ability of the instability interface deformation. 相似文献
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Effects of a continuous magnetic field in the direction of streaming on the incompressible Kelvin–Helmholtz instability (KHI) are investigated by solving the linear ideal magnetohydrodynamic equations. It is found that the frequency of the KHI is not influenced by the magnetic field. The magnetic field strength effect decreases the linear growth of the KHI, while the magnetic field gradient scale length effect increases its linear growth. The KHI can even be completely suppressed when the magnetic field is strong enough. The linear growth rate approaches a maximum when the magnetic field gradient scale length is large enough. 相似文献
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基于FTM(Front Tracking Method)对倾斜壁面下的二维不混溶、不可压缩流体的Kelvin-Helmholtz(K-H)不稳定性进行数值模拟.研究壁面倾角,速度梯度层厚度以及理查德森数对K-H不稳定性发展的影响.研究表明,壁面倾角越大,K-H不稳定性发展越快,卷起的液体越多;倾斜壁面下速度梯度层厚度的增加对界面卷起表现出抑制作用.理查德森数重力项越大,界面卷起越缓慢,而理查德森数表面张力项对界面卷起高度的影响较小. 相似文献
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利用加权本质上无振荡(WENO)方法模拟超声速流体Kelvin-Helmholtz(KH)不稳定性,研究速度梯度对KH不稳定性线性增长率和后期非线性演化的影响.模拟发现超声速流体中的速度梯度对KH不稳定性具有较强的致稳作用,给出了包含速度梯度致稳的线性增长率经验公式.数值模拟和经验公式符合得很好.模拟给出了清晰的流场密度等值线,这说明WENO方法模拟超声速流体KH不稳定性具有较好的界面变形捕捉能力.模拟结果表明速度梯度影响KH涡的演化,在给定密度梯度的情况下速度梯度越大KH涡的横向尺度越小.
关键词:
Kelvin-Helmholtz不稳定性
超声速流体
速度梯度 相似文献
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Hong-Hao Dai 《中国物理 B》2022,31(12):120401-120401
We have derived the analytical formulas for the Kelvin-Helmholtz instability (KHI) of two superposed finite-thickness fluid layers with the magnetic field effect into consideration. The linear growth rate of KHI will be reduced when the thickness of the fluid with large density is decreased or the thickness of fluid with small density is increased. When the thickness and the magnetic field act together on the KHI, the effect of thickness is more obvious when the magnetic field intensity is weak. The magnetic field transition layer destabilizes (enforces) the KHI, especially in the case of small thickness of the magnetic field transition layer. When considering the effect of magnetic field, the linear growth rate of KHI always decreases after reaching the maximum with the increase of total thickness. The stronger the magnetic field intensity is, the more obvious the growth rate decreases with the total thickness. Thus, it should be included in applications where the effect of fluid thickness on the KHI cannot be ignored, such as in double-cone ignition scheme for inertial confinement fusion. 相似文献
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The Kelvin-Helmholtz instability in sheared magnetohydrodynamic flow of an ideally conducting rotating inhomogeneous compressible
plasma is investigated. The asymptotic behaviour inx of the Kelvin-Helmholtz eigenfunctions for the case of finite compressibility in the presence of rotation is discussed and
instability condition is derived. In the incompressible limit, a dispersion relation is derived which has been solved numerically
and discussed in detail. It is found that the inhomogeneous system is unstable in an incompressible plasma. 相似文献
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Motivated by recent theoretical and experimental interest in the subject, we derive the condition of interfacial Kelvin-Helmholtz instability for a system of two flowing superfluids (one sliding on the other). The tensor structure of superfluid densities in anisotropic superfluids, such as 3He-A and also 3He-B under an external magnetic field, is properly taken into account. The consequences relevant to experiments on the A–B phase boundary in superfluid 3He are discussed. 相似文献
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WANG Li-Feng TENG Ai-Ping YE Wen-Hua XUE Chuang FAN Zheng-Feng LI Ying-Jun 《理论物理通讯》2009,52(4):694-696
This paper studies the phase effect in mode coupling of Kelvin-Helmholtzinstability in two-dimensional incompressible fluid. It is found that thereis an important growth phenomenon of every mode in the mode couplingprocess. The growth changes periodically with phase difference and in thecondition of our simulation the period is about 0.7π. The periodcharacteristic is apparent in all stage of the mode coupling process,especially in the relatively later stage. 相似文献