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. ------------------- GENERAL INFORMATION ------------------- ReadMe Author: Jack Tyler, University of Southampton [ORCiD: 0000-0002-0979-7533] Date of data collection: March 2021 - March 2022 -------------------------- SHARING/ACCESS INFORMATION -------------------------- 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 -------------------- DATA & FILE OVERVIEW -------------------- 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] -------------------------- METHODOLOGICAL INFORMATION -------------------------- 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