https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Nestola_et_al_2024a Nestola et al 2024a - Revision history 2026-05-05T16:48:51Z Revision history for this page on the wiki MediaWiki 1.27.0-wmf.10 https://www.scipedia.com/wd/index.php?title=Nestola_et_al_2024a&diff=305037&oldid=prev JSanchez: JSanchez moved page Draft Sanchez Pinedo 330013099 to Nestola et al 2024a 2024-06-28T09:57:12Z <p>JSanchez moved page <a href="/public/Draft_Sanchez_Pinedo_330013099" class="mw-redirect" title="Draft Sanchez Pinedo 330013099">Draft Sanchez Pinedo 330013099</a> to <a href="/public/Nestola_et_al_2024a" title="Nestola et al 2024a">Nestola et al 2024a</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr style='vertical-align: top;' lang='en'> <td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 09:57, 28 June 2024</td> </tr><tr><td colspan='2' style='text-align: center;' lang='en'><div class="mw-diff-empty">(No difference)</div> </td></tr></table> JSanchez https://www.scipedia.com/wd/index.php?title=Nestola_et_al_2024a&diff=305036&oldid=prev JSanchez at 09:57, 28 June 2024 2024-06-28T09:57:05Z <p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 09:57, 28 June 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3" >Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>We present a simple finite element framework which enables numerical simulations of transport problems in fractured porous media based on equi-dimensional models, i.e., models where fractures are considered heterogeneities of the same geometrical dimension as the embedding background. The two main ingredients of the proposed framework are an adaptive mesh refinement strategy, and an algebraic flux correction stabilization. The proposed finite-element method for equi-dimensional models is inherently simple and can be easily implemented in any common simulation software, as it does not require the complicated management of different meshes and discretizations, which are necessary for numerical simulations based on hybrid-dimensional models, i.e., models where fractures are considered as heterogeneities of a lower geometrical dimension than the embedding background. Actually, our equi-dimensional approach provides a strategy to validate hybrid-dimensional models. Our adaptive approach is inherently conservative and naturally reduces the discretization error which, for problems with heterogeneities, is concentrated at the interfaces.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>We present a simple finite element framework which enables numerical simulations of transport problems in fractured porous media based on equi-dimensional models, i.e., models where fractures are considered heterogeneities of the same geometrical dimension as the embedding background. The two main ingredients of the proposed framework are an adaptive mesh refinement strategy, and an algebraic flux correction stabilization. The proposed finite-element method for equi-dimensional models is inherently simple and can be easily implemented in any common simulation software, as it does not require the complicated management of different meshes and discretizations, which are necessary for numerical simulations based on hybrid-dimensional models, i.e., models where fractures are considered as heterogeneities of a lower geometrical dimension than the embedding background. Actually, our equi-dimensional approach provides a strategy to validate hybrid-dimensional models. Our adaptive approach is inherently conservative and naturally reduces the discretization error which, for problems with heterogeneities, is concentrated at the interfaces.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Full Paper ==</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;pdf&gt;Media:Draft_Sanchez Pinedo_33001309916.pdf&lt;/pdf&gt;</ins></div></td></tr> </table> JSanchez https://www.scipedia.com/wd/index.php?title=Nestola_et_al_2024a&diff=305034&oldid=prev JSanchez at 09:57, 28 June 2024 2024-06-28T09:57:03Z <p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 09:57, 28 June 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Abstract==</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">We present a simple finite element framework which enables numerical simulations of transport problems in fractured porous media based on equi-dimensional models, i.e., models where fractures are considered heterogeneities of the same geometrical dimension as the embedding background. The two main ingredients of the proposed framework are an adaptive mesh refinement strategy, and an algebraic flux correction stabilization. The proposed finite-element method for equi-dimensional models is inherently simple and can be easily implemented in any common simulation software, as it does not require the complicated management of different meshes and discretizations, which are necessary for numerical simulations based on hybrid-dimensional models, i.e., models where fractures are considered as heterogeneities of a lower geometrical dimension than the embedding background. Actually, our equi-dimensional approach provides a strategy to validate hybrid-dimensional models. Our adaptive approach is inherently conservative and naturally reduces the discretization error which, for problems with heterogeneities, is concentrated at the interfaces.</ins></div></td></tr> </table> JSanchez https://www.scipedia.com/wd/index.php?title=Nestola_et_al_2024a&diff=305033&oldid=prev JSanchez: Created blank page 2024-06-28T09:57:01Z <p>Created blank page</p> <p><b>New page</b></p><div></div> JSanchez