Topological Analysis of Inertial Dynamics
Topological Analysis of Inertial Dynamics
复制标题
惯性动力学的拓扑分析
DOI：
--
复制
发表时间：
2017
影响因子：
5.2
通讯作者：
F. Sadlo
中科院分区：
文献类型：
--
作者：
A. Sagristà;S. Jordan;A. Just;F. Dias;L. G. Nonato;F. Sadlo
传统的矢量场可视化密切关注速度，并且通常受限于无质量粒子的动力学。在本文中，我们提出了一种新的方法来分析惯性粒子的力诱导动力学。这些力可以来自加速场，如引力，但也取决于粒子动力学本身，如磁性。与无质量粒子相比，惯性粒子的速度不仅仅取决于它在矢量场中的位置和时间。相比之下，它的初始速度可以是任意的，并在其整个生命周期内影响动力学。这导致2D设置的四维问题，以及3D情况的六维问题。我们的方法避免了这种维数的增加，并通过集成的拓扑分析方法处理可视化。我们证明了我们的方法使用合成的时间依赖性加速场，磁偶极子系统，N体系统在2D和3D的效用。
Traditional vector field visualization has a close focus on velocity, and is typically constrained to the dynamics of massless particles. In this paper, we present a novel approach to the analysis of the force-induced dynamics of inertial particles. These forces can arise from acceleration fields such as gravitation, but also be dependent on the particle dynamics itself, as in the case of magnetism. Compared to massless particles, the velocity of an inertial particle is not determined solely by its position and time in a vector field. In contrast, its initial velocity can be arbitrary and impacts the dynamics over its entire lifetime. This leads to a four-dimensional problem for 2D setups, and a six-dimensional problem for the 3D case. Our approach avoids this increase in dimensionality and tackles the visualization by an integrated topological analysis approach. We demonstrate the utility of our approach using a synthetic time-dependent acceleration field, a system of magnetic dipoles, and N-body systems both in 2D and 3D.
通过惯性流中的正向积分进行源反演
影响因子：
2.5
作者：
T. Günther;H. Theisel
通讯作者：
H. Theisel
惯性稳定二维矢量场拓扑
影响因子：
2.5
作者：
T. Günther;H. Theisel
通讯作者：
H. Theisel