Multi-Point Gradient Estimation in Turbulence

Fuente: arXiv
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Main Authors: Broeren, Theodore, Klein, Kristopher
Format: Preprint
Published: 2024
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author Broeren, Theodore
Klein, Kristopher
author_facet Broeren, Theodore
Klein, Kristopher
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14889
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multi-Point Gradient Estimation in Turbulence
Broeren, Theodore
Klein, Kristopher
Fluid Dynamics
Computational Physics
Data Analysis, Statistics and Probability
Plasma Physics
Space Physics
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.
title Multi-Point Gradient Estimation in Turbulence
topic Fluid Dynamics
Computational Physics
Data Analysis, Statistics and Probability
Plasma Physics
Space Physics
url https://arxiv.org/abs/2405.14889