{"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/verification-benchmarks-for-single-phase-flow","title":"Verification benchmarks for single-phase flow in three-dimensional fractured porous media","arxiv_id":"2002.07005","date":"2020-02-17","proceeding":null,"authors":["Inga Berre","Wietse M. Boon","Bernd Flemisch","Alessio Fumagalli","Dennis Gläser","Eirik Keilegavlen","Anna Scotti","Ivar Stefansson","Alexandru Tatomir","Konstantin Brenner","Samuel Burbulla","Philippe Devloo","Omar Duran","Marco Favino","Julian Hennicker","I-Hsien Lee","Konstantin Lipnikov","Roland Masson","Klaus Mosthaf","Maria Giuseppina Chiara Nestola","Chuen-Fa Ni","Kirill Nikitin","Philipp Schädle","Daniil Svyatskiy","Ruslan Yanbarisov","Patrick Zulian"],"abstract":"Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, we present a portfolio of four benchmark cases for single-phase flow in three-dimensional fractured porous media. The cases are specifically designed to test the methods' capabilities in handling various complexities common to the geometrical structures of fracture networks. Based on an open call for participation, results obtained with 17 numerical methods were collected. This paper presents the underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases.","url_abs":"http://arxiv.org/abs/2002.07005v1","url_pdf":"http://arxiv.org/pdf/2002.07005v1.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":"verification-benchmarks-for-single-phase-flow","repo_url":"https://github.com/pmgbergen/arXiv_1809_06926","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"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}