{"id":4,"date":"2011-12-08T11:55:34","date_gmt":"2011-12-08T11:55:34","guid":{"rendered":"http:\/\/project.inria.fr\/template1\/?page_id=4"},"modified":"2025-07-18T17:58:06","modified_gmt":"2025-07-18T15:58:06","slug":"home","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/steers\/","title":{"rendered":"Introduction"},"content":{"rendered":"<p>This project proposes a novel approach based on space time adaptive numerical methods to efficiently simulate subsurface flow models, with applications to CO\u2082 storage.<\/p>\n<p><strong>Tools<\/strong><\/p>\n<p>The key ingredients are<\/p>\n<ul>\n<li>The development of a <b>combined Hybrid High-Order \/ Discontinuous <\/b><b>Galerkin<\/b> (HHO\/DG) method\n<ul>\n<li><span style=\"font-size: revert; color: initial;\">Suitable for <\/span><b style=\"font-size: revert; color: initial;\">general meshes <\/b><span style=\"font-size: revert; color: initial;\">(polytopal), <\/span><b style=\"font-size: revert; color: initial;\">high order <\/b><span style=\"font-size: revert; color: initial;\">accuracy<\/span><\/li>\n<li><b style=\"font-size: revert; color: initial;\">Mass conservative method<\/b><\/li>\n<li><b style=\"font-size: revert; color: initial;\">DG : number of degrees of freedom independent of<\/b><span style=\"font-size: revert; color: initial;\"> the number of small faces per cell<\/span><\/li>\n<li><b style=\"font-size: revert; color: initial;\">HHO: <\/b><span style=\"font-size: revert; color: initial;\">makes it easy to impose the <\/span><b style=\"font-size: revert; color: initial;\">coupling conditions<\/b><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li>The development of <b>new space-time adaptive algorithms <\/b>steered by <b>a posteriori error estimates<\/b>\n<ul>\n<li><b style=\"font-size: revert; color: initial;\">Polytopal<\/b> <b style=\"font-size: revert; color: initial;\">mesh refinement\/coarsening based on a posteriori estimators<\/b><\/li>\n<li><b style=\"font-size: revert; color: initial;\">To achieve<\/b> <b style=\"font-size: revert; color: initial;\">guaranteed accuracy of the solutions<\/b><\/li>\n<li><b style=\"font-size: revert; color: initial;\">T<\/b><b style=\"font-size: revert; color: initial;\">o speed up <\/b><span style=\"font-size: revert; color: initial;\">the computations<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li>The implementation of the proposed algorithms in an <b>open-source library<\/b>\n<ul>\n<li><b style=\"font-size: revert; color: initial;\">Validate and assess the performance <\/b><span style=\"font-size: revert; color: initial;\">by comparison with available test cases (reproducibility)<\/span><\/li>\n<li>Expand the series of tests to <b style=\"font-size: revert; color: initial;\">more complex porous fractured media<\/b><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<p>This project is funded by the French National Research Agency (ANR): <a href=\"https:\/\/anr.fr\/Project-ANR-24-CE56-0127\">Project-ANR-24-CE56-0127<\/a> <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<div class=\"wp-block-image\"><figure class=\"alignright size-large is-resized\"><a href=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle-1024x390.jpg\" alt=\"\" class=\"wp-image-121\" width=\"137\" height=\"52\" srcset=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle-1024x390.jpg 1024w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle-300x114.jpg 300w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle-768x292.jpg 768w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle-150x57.jpg 150w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/ANR-logo-2021-sigle.jpg 1211w\" sizes=\"auto, (max-width: 137px) 100vw, 137px\" \/><\/a><\/figure><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<div class=\"wp-block-image\"><figure class=\"alignleft size-full is-resized\"><a href=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB.png\" alt=\"\" class=\"wp-image-113\" width=\"225\" height=\"65\" srcset=\"https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB.png 800w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB-300x88.png 300w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB-768x225.png 768w, https:\/\/project.inria.fr\/steers\/files\/2025\/07\/RF-Inria_Logo_RVB-150x44.png 150w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/figure><\/div>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>This project proposes a novel approach based on space time adaptive numerical methods to efficiently simulate subsurface flow models, with applications to CO\u2082 storage. Tools The key ingredients are The development of a combined Hybrid High-Order \/ Discontinuous Galerkin (HHO\/DG) method Suitable for general meshes (polytopal), high order accuracy Mass\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/steers\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-4","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/pages\/4","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/comments?post=4"}],"version-history":[{"count":10,"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/pages\/4\/revisions"}],"predecessor-version":[{"id":126,"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/pages\/4\/revisions\/126"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/steers\/wp-json\/wp\/v2\/media?parent=4"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}