Finite‐Time Mass Separation for Comparative Visualizations of Inertial Particles
Finite‐Time Mass Separation for Comparative Visualizations of Inertial Particles
复制标题
惯性粒子比较可视化的有限时间质量分离
DOI：
10.1111/cgf.12659
复制
发表时间：
2015
影响因子：
2.5
通讯作者：
H. Theisel
中科院分区：
文献类型：
--
作者：
Tobias Günther;H. Theisel
具有惯性粒子轨迹的流的可视化分析是一个具有挑战性的问题，因为时间相关的粒子轨迹还依赖于质量，这就产生了无数可能的轨迹通过时空中的每一点。本文提出了一种惯性粒子分离行为的比较可视化方法。为此，我们定义了有限时间质量分离（FTMS），这是一个标量场，用于测量从相同位置释放但质量略有不同的惯性粒子在域中的每个点分离的速度。提取和可视化引起最大分离的质量提供了对临界质量的简化视图。通过使用互补协调视图，我们通过积分曲线和曲面在时空中可视化相应的惯性粒子轨迹。为了进行定量分析，我们绘制了基于欧氏距离和弧长的参考粒子随时间的距离，这可以观察分离事件的时间演变。我们在一些解析和一个现实世界的非定常二维场上展示了我们的方法。
The visual analysis of flows with inertial particle trajectories is a challenging problem because time‐dependent particle trajectories additionally depend on mass, which gives rise to an infinite number of possible trajectories passing through every point in space‐time. This paper presents an approach to a comparative visualization of the inertial particles’ separation behavior. For this, we define the Finite‐Time Mass Separation (FTMS), a scalar field that measures at each point in the domain how quickly inertial particles separate that were released from the same location but with slightly different mass. Extracting and visualizing the mass that induces the largest separation provides a simplified view on the critical masses. By using complementary coordinated views, we additionally visualize corresponding inertial particle trajectories in space‐time by integral curves and surfaces. For a quantitative analysis, we plot Euclidean and arc length‐based distances to a reference particle over time, which allows to observe the temporal evolution of separation events. We demonstrate our approach on a number of analytic and one real‐world unsteady 2D field.