标题： 湍流中的多点梯度估计 显示英文标题

标题： Multi-Point Gradient Estimation in Turbulence

摘要： 在研究湍流时，通常希望能够利用少量不规则分布点的原位测量数据来估计矢量量的局部空间梯度。 虽然之前的研究主要关注这些方法在测量点数量变化时的准确性，但我们关注的是梯度估计的准确性作为测量点配置形状的函数。 我们发现，对于形状良好且相对尺寸正确的配置，仅使用四个点就可以非常准确地估计局部空间梯度。 显示英文摘要

摘要： When studying turbulence, it is often desirable to be able to estimate the local spatial gradient of a vector quantity using in situ measurements from a small number of irregularly spaced points. While previous studies have focused on the accuracy of these methods as the number of measurement points varies, we focus on the accuracy of gradient estimations as a function of shape of the measurement point configuration. We find that for well-shaped configurations that are of correct relative size, we can very accurately estimate the local spatial gradient using only four points.