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         "type" : "Publication",
         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/208be7563b587190c24a78304dab29287/mathematik",         
         "tags" : [
            "Discrete","Dynamic","Finite","Fracture","Moving-mesh","Two-phase","algorithm","am","aperture","flow","fracture","from:brittalenz","ians","in","matrix","media","methods","models","porous","propagation","volume"
         ],
         
         "intraHash" : "08be7563b587190c24a78304dab29287",
         "interHash" : "1ef19dc47df248ebcee76f8655d00172",
         "label" : "A finite-volume moving-mesh method for two-phase flow in\r\nfracturing porous media",
         "user" : "mathematik",
         "description" : "",
         "date" : "2022-02-23 10:11:48",
         "changeDate" : "2022-04-11 06:45:24",
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         "pub-type": "article",
         "journal": "J. Comput. Phys.",
         "year": "2022", 
         "url": "https://www.sciencedirect.com/science/article/pii/S0021999122000936", 
         
         "author": [ 
            "Samuel Burbulla","Christian Rohde"
         ],
         "authors": [
         	
            	{"first" : "Samuel",	"last" : "Burbulla"},
            	{"first" : "Christian",	"last" : "Rohde"}
         ],
         "pages": "111031","abstract": "Multiphase flow in fractured porous media can be described\r\nby discrete fracture matrix models that represent the fractures as\r\ndimensionally reduced manifolds embedded in the bulk porous medium.\r\nGeneralizing earlier work on this approach we focus on immiscible\r\ntwo-phase flow in time-dependent fracture geometries, i.e., the fracture\r\nitself and the aperture of the fractures might evolve in time. For\r\ndynamic fracture geometries of that kind, neglecting capillary forces,\r\nwe deduce by transversal averaging of a full dimensional description a\r\ndimensionally reduced model that governs the geometric evolution and the\r\nflow dynamics. The core computational contribution is a\r\nmixed-dimensional finite-volume discretization based on a conforming\r\nmoving-mesh ansatz. This finite-volume moving-mesh (FVMM) algorithm is\r\ntracking the fractures' motions as a family of unions of facets of the\r\nmesh. Notably, the method permits arbitrary movement of facets of the\r\ntriangulation while keeping the mass conservation constraint. In a\r\nseries of numerical examples we investigate the modeling error of the\r\nreduced model as it compares to the original full dimensional model.\r\nMoreover, we show the performance of the finite-volume moving-mesh\r\nalgorithm for the complex wave pattern that is induced by the\r\ninteraction of saturation fronts and evolving fractures.",
         "doi" : "https://doi.org/10.1016/j.jcp.2022.111031",
         
         "bibtexKey": "burbulla2022finitevolume"

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