On Donating Regions: Lagrangian Flux through a Fixed Curve
On Donating Regions: Lagrangian Flux through a Fixed Curve
复制标题
DOI：
10.1137/100796406
复制
发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
Qinghai Zhang
中科院分区：
文献类型：
--
作者：
Qinghai Zhang
拉格朗日通量通过一个固定的曲线段自然会产生捐赠区域的概念，一个紧凑的点集，其中每个粒子将通过曲线，并有助于通量。到目前为止，还没有一个精确的几何确定的捐赠区。作者基于流场的两条特征曲线，即条纹线和时间线，提出了捐赠区域的明确的、建设性的和分析性的定义。它还表明，在一个有限大小的时间间隔内，每个粒子在拟议的捐赠区域有一个净效应，穿过固定曲线一次。所提出的分析可能是潜在的有用的流动拓扑结构的研究，拉格朗日通量计算，和显式界面跟踪。
Lagrangian flux through a fixed curve segment naturally gives rise to the notion of a donating region, a compact point set in which each particle will pass through the curve and contribute to the flux. A precise geometric determination of the donating region has not been available until now. The author proposes an explicit, constructive, and analytical definition of the donating region based on two characteristic curves of the flow field, viz. streaklines and timelines. It is also shown that, within a time interval of finite size, each particle in the proposed donating region has a net effect of going across the fixed curve once. The presented analysis might be potentially useful for flow topology studies, Lagrangian flux calculation, and explicit interface tracking.