{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:38:13Z","timestamp":1787330293468,"version":"build-2736575974"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["327154368 \u2013 SFB 1313"],"award-info":[{"award-number":["327154368 \u2013 SFB 1313"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2075 \u2013 390740016"],"award-info":[{"award-number":["EXC 2075 \u2013 390740016"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100022175","name":"Stuttgart Center for Simulation Science","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100022175","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2023,8,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We study single-phase flow in a fractured porous medium at a macroscopic scale that allows us to model fractures individually. The flow is governed by Darcy\u2019s law in both fractures and a porous matrix. We derive a new mixed-dimensional model, where fractures are represented by [Formula: see text]-dimensional interfaces between [Formula: see text]-dimensional subdomains for [Formula: see text]. In particular, we suggest a generalization of the model in [V. Martin, J. Jaffr\u00e9, and J. E. Roberts, SIAM J. Sci. Comput., 26 (2005), pp. 1667\u20131691] by accounting for asymmetric fractures with spatially varying aperture. Thus, the new model is particularly convenient for the description of surface roughness or for modeling curvilinear or winding fractures. The wellposedness of the new model is proven under appropriate conditions. Further, we formulate a discontinuous Galerkin discretization of the new model and validate the model by performing two- and three-dimensional numerical experiments.<\/jats:p>","DOI":"10.1137\/22m1510406","type":"journal-article","created":{"date-parts":[[2023,7,7]],"date-time":"2023-07-07T06:25:18Z","timestamp":1688711118000},"page":"A1519-A1544","source":"Crossref","is-referenced-by-count":6,"title":["Flow in Porous Media with Fractures of Varying Aperture"],"prefix":"10.1137","volume":"45","author":[{"given":"Samuel","family":"Burbulla","sequence":"first","affiliation":[{"name":"Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, D-70569 Stuttgart, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maximilian","family":"H\u00f6rl","sequence":"additional","affiliation":[{"name":"Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, D-70569 Stuttgart, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian","family":"Rohde","sequence":"additional","affiliation":[{"name":"Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, D-70569 Stuttgart, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,7,7]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2016.10.005"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1145\/2566630"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2008052"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/17M1138194"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2020.06.007"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-018-1171-6"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.advwatres.2020.103759"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/17M1139102"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.21105\/joss.03959"},{"key":"ref10","unstructured":"S. Burbulla , \nM. H\u00f6rl , and \nC. Rohde , Replication Data for: Flow in Porous Media with Fractures of Varying Aperture, 2022, https:\/\/doi.org\/10.18419\/darus-3227."},{"key":"ref11","doi-asserted-by":"crossref","unstructured":"S. Burbulla , \nM. H\u00f6rl , and \nC. Rohde , Source Code for: Flow in Porous Media with Fractures of Varying Aperture, 2022, https:\/\/doi.org\/10.18419\/darus-3012.","DOI":"10.1137\/22M1510406"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111031"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-010-0110-3"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.advwatres.2017.10.036"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2013132"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10596-007-9062-x"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.09.048"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110205"},{"key":"ref19","unstructured":"M. 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