2020/01/16 by Fadi Aldakheel, Aldakheel, Fadi, Nima Noii +5 · 1 citation
Engineering · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2001.06055
openalex publication_date 2020/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, phase-field modeling of hydraulic fractures in porous media is\nextended towards a global-local approach. Therein, the failure behavior is\nsolely analyzed in a (small) local domain. In the surrounding medium, a\nsimplified and linearized system of equations is solved. Both domains are\ncoupled by Robin-type interface conditions. The fracture(s) inside the local\ndomain are allowed to propagate and consequently both subdomains change within\ntime. Here, a predictor-corrector strategy is adopted in which the local domain\nis dynamically adjusted to the current fracture pattern. The resulting\nframework is algorithmically described in detail and substantiated with some\nnumerical tests.\n