Article ID Journal Published Year Pages File Type
6918437 Computer Methods in Applied Mechanics and Engineering 2013 18 Pages PDF
Abstract
► We propose two novel XFEM-based schemes to couple the equations governing hydraulic fracture propagation. ► The first scheme uses the XFEM to resolve the Neumann to Dirichlet (ND) map with O(h2) accuracy and is suitable for fluid fronts that lag behind the fracture front. ► The second scheme uses a mixed XFEM formulation to enable singular tip asymptotic behavior to be combined with the O(h2) ND map. ► The coupled XFEM algorithms yield solutions that show excellent agreement with published reference solutions.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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