A hybrid mortar virtual element method for discrete fracture network simulations

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• 作者：Matí ; as Fernando Benedetto ^{matias.benedetto@polito.it" class="auth_mail" title="E-mail the corresponding author} ; Stefano Berrone ; ^{stefano.berrone@polito.it" class="auth_mail" title="E-mail the corresponding author} ; Andrea Borio ^{andrea.borio@polito.it" class="auth_mail" title="E-mail the corresponding author} ; Sandra Pieraccini ^{sandra.pieraccini@polito.it" class="auth_mail" title="E-mail the corresponding author} ; Stefano Scialò ; ^{stefano.scialo@polito.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Discrete fracture networks ; Virtual element method ; Mortar method ; Fracture flows ; Darcy flows
• 刊名：Journal of Computational Physics
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：306
• 期：Complete
• 页码：148-166
• 全文大小：3209 K

文摘

The most challenging issue in performing underground flow simulations in Discrete Fracture Networks (DFN) is to effectively tackle the geometrical difficulties of the problem. In this work we put forward a new application of the Virtual Element Method combined with the Mortar method for domain decomposition: we exploit the flexibility of the VEM in handling polygonal meshes in order to easily construct meshes conforming to the traces on each fracture, and we resort to the mortar approach in order to “weakly” impose continuity of the solution on intersecting fractures. The resulting method replaces the need for matching grids between fractures, so that the meshing process can be performed independently for each fracture. Numerical results show optimal convergence and robustness in handling very complex geometries.