README for 'Dataset for: An improved numerical method for hyperbolic Lagrangian Coherent Structures using Differential Algebra.'

Dataset DOI: 10.5258/SOTON/D2143

Date that the file was created: January 2023.

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GENERAL INFORMATION
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ReadMe Author: Jack Tyler, University of Southampton [ORCiD: 0000-0002-0979-7533]

Date of data collection: March 2021 - March 2022

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SHARING/ACCESS INFORMATION
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Licenses/restrictions placed on the data, or limitations of reuse: Data made available under a GNU GPLv3 license.

Recommended citation for the data: Please cite the primary publication (see below.)

This dataset supports the publication:
AUTHORS: Tyler, Jack and Wittig, Alexander
TITLE: An improved numerical method for hyperbolic Lagrangian Coherent Structures using Differential Algebra
JOURNAL: Journal of Computational Science
PAPER DOI IF KNOWN: https://doi.org/10.1016/j.jocs.2022.101883

Links to other publicly accessible locations of the data: N/A
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DATA & FILE OVERVIEW
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This dataset contains:

Finite-time Lyapunov Exponent and Helicity fields for all examples presented in the paper. The suffix ‘_dd’ implies the fields were computed with divided differences, and the suffix ‘_da’ implies they were computed using Differential Algebra.

The format of each file is the same and can be read with any CSV reader. Each file has four columns:

[x coordinate] [y coordinate] [z coordinate] [FTLE/helicity]

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METHODOLOGICAL INFORMATION
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Description of methods used for collection/generation of data: Using custom C++ code, as described in paper.

Methods for processing the data: Using custom Python code, as described in paper.

Software- or Instrument-specific information needed to interpret the data, including software and hardware version numbers: Any CSV reader.

Standards and calibration information, if appropriate: N/A.

Environmental/experimental conditions: N/A.

Describe any quality-assurance procedures performed on the data: N/A.

People involved with sample collection, processing, analysis and/or submission: Jack Tyler