Simulation of Rayleigh-Taylor flows using vortex blobs
Simulation of Rayleigh-Taylor flows using vortex blobs
复制标题
使用涡流模拟瑞利-泰勒流
DOI：
10.1016/0021-9991(88)90131-3
复制
发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Robert McDougall Kerr
中科院分区：
文献类型：
--
作者：
Robert McDougall Kerr
为了研究任意阿特伍德数的单尺度瑞利-泰勒不稳定性，对无粘边界积分方法进行了改进。主要修改使用涡流斑点来平滑格林函数并抑制曲率中的有限时间奇点。对早期代码的其他修改（例如沿界面使用二阶中心差来适应涡量峰值以及沿界面均匀分布节点以抑制节点聚类）旨在保持分辨率和准确性。为了在节点扩展时及时实现二阶精度，需要一个额外的预测器步骤，在变量前进之前移动节点。该方法成功地遵循了单一模式的发展，使气泡和尖峰具有渐近速度，该速度取决于阿特伍德数并且与斑点大小无关。观察到初始液滴形成。C 1988 学术出版社，Inc.
An inviscid boundary-integral method is modified in order to study the single-scale Rayleigh-Taylor instability for arbitrary Atwood number. The primary modification uses vortex blobs to smooth the Green's function and suppress a finite time singularity in the curvature. Additional modifications to earlier codes such as using second-order central differences along the interface to accommodate spikes in the vorticity and spreading the nodes evenly along the interface to suppress clustering of nodes are designed to maintain resolution and accuracy. To achieve second-order accuracy in time when the nodes are spread, an extra predictor step is needed that shifts the nodes before the variables are advanced. The method successfully follows the development of a single mode to states with asymptotic velocities for the bubble and spike that depend on the Atwood number and are independent of the blob size. Incipient droplet formation is observed.C 1988 Academic Press, Inc.