{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/lagrange2d-a-mathematica-package-for","title":"Lagrange2D: A Mathematica package for Lagrangian analysis of two-dimensional fluid flows","arxiv_id":"1908.00717","date":"2019-08-02","proceeding":null,"authors":["William Gilpin"],"abstract":"We introduce Lagrange2D, a Mathematica package for analysis and characterization of complex fluid flows using Lagrangian transport metrics. Lagrange2D includes built-in functions for integrating ensembles of trajectories subject to time-varying two-dimensional flows, as well as utilities for calculating various quantities of interest, such as finite-time Lyapunov exponents, stretching vector fields, the fractal dimension, and flushing times. The package also includes tools for visualizing transport and pathlines, as well as for generating videos. This package aims to ease rapid characterization of arbitrary flows, by allowing identification of Lagrangian coherent structures and other quantities of interest. The open-source code for the package is available on GitHub at: \\url{https://github.com/williamgilpin/lagrange2d}","url_abs":"https://arxiv.org/abs/1908.00717v1","url_pdf":"https://arxiv.org/pdf/1908.00717v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"lagrange2d-a-mathematica-package-for","repo_url":"https://github.com/williamgilpin/lagrange2d","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}