Long-time simulations of the Kelvin-Helmholtz instability using an adaptive vortex method.
Long-time simulations of the Kelvin-Helmholtz instability using an adaptive vortex method.
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使用自适应涡流方法对开尔文-亥姆霍兹不稳定性进行长时间模拟。
DOI：
10.1103/physreve.82.046711
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Woonjae Hwang
中科院分区：
文献类型：
--
作者：
Sung;Daeki Yoon;Woonjae Hwang
通过涡片模型研究了平行剪切流作用下界面的非线性演化。我们使用点涡方法对密度分层流体中的涡片进行长时间计算，并研究开尔文-亥姆霍兹不稳定性的后期动力学。我们将自适应点插入过程和高阶冲击捕获方案应用于涡流方法，以处理点涡流的不均匀分布并提高分辨率。我们的自适应涡流方法成功地以高分辨率模拟了开尔文-亥姆霍兹不稳定性的混沌扭曲界面。数值结果表明，开尔文-亥姆霍兹不稳定性在后期演化出二次不稳定性，扭曲了内部卷起，并最终发展为无序结构。
The nonlinear evolution of an interface subject to a parallel shear flow is studied by the vortex sheet model. We perform long-time computations for the vortex sheet in density-stratified fluids by using the point vortex method and investigate late-time dynamics of the Kelvin-Helmholtz instability. We apply an adaptive point insertion procedure and a high-order shock-capturing scheme to the vortex method to handle the nonuniform distribution of point vortices and enhance the resolution. Our adaptive vortex method successfully simulates chaotically distorted interfaces of the Kelvin-Helmholtz instability with fine resolutions. The numerical results show that the Kelvin-Helmholtz instability evolves a secondary instability at a late time, distorting the internal rollup, and eventually develops to a disordered structure.