欧拉数(物理)
欧拉公式
物理
欧拉特性
公制(单位)
拓扑(电路)
欧拉方程
流量(数学)
动力系统理论
流体力学
曲面(拓扑)
不变(物理)
反向欧拉法
半隐式欧拉法
数学分析
机械
数学
几何学
热力学
运营管理
组合数学
量子力学
经济
数学物理
作者
Anamika Roy,R. A. I. Haque,Atish Mitra,Sujata Tarafdar,Tapati Dutta
摘要
Euler characteristic (χ), a topological invariant, helps to understand the topology of a network or complex. We demonstrate that the multi-scale topological information of dynamically evolving fluid flow systems can be crystallized into their Euler characteristic surfaces χs(r,t). Furthermore, we demonstrate the Euler Metric (EM), introduced by the authors, can be utilized to identify the stability regime of a given flow pattern, besides distinguishing between different flow systems. The potential of the Euler characteristic surface and the Euler metric have been demonstrated first on analyzing a simulated deterministic dynamical system before being applied to analyze experimental flow patterns that develop in micrometer sized drying droplets.
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