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http://dx.doi.org/10.18419/opus-12712
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.advisor | Rohde, Christian (Prof. Dr.) | - |
dc.contributor.author | Burbulla, Samuel | - |
dc.date.accessioned | 2023-02-10T11:43:13Z | - |
dc.date.available | 2023-02-10T11:43:13Z | - |
dc.date.issued | 2023 | de |
dc.identifier.other | 1834147212 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-127310 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/12731 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-12712 | - |
dc.description.abstract | Modeling flow in dynamically fracturing porous media is of high interest for a wide range of natural and technical applications, for instance, geothermal energy production or carbon capture and storage. In this work, we present new mixed-dimensional models for flow in porous media including fractures with time- and space-dependent geometries. The models are implemented using our new grid implementation Dune-MMesh which is tailored for the discretization of mixed-dimensional partial differential equations with fully conforming interface of codimension one. First, we propose a mixed-dimensional model for capillarity-free two-phase flow in dynamically fracturing porous media. The model is discretized by a fully conforming finite-volume moving-mesh algorithm that explicitly tracks the fracture geometry. Further, generalizing an earlier model for single-phase flow in fractured porous media, we derive a dimensionally reduced model including spatially varying apertures. In several numerical examples, using a mixed-dimensional discontinuous Galerkin discretization, the model demonstrates significant improvements for curvilinear fracture geometries. Finally, we propose a mixed-dimensional phase-field model for fracture propagation in poro-elastic media combining discrete fracture and phase-field modeling approaches. The corresponding discontinuous Galerkin discretization tracks the fracture geometry by adding facets to the fracture triangulation according to the phase-field indicator and is validated with results known from literature. | en |
dc.language.iso | en | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.ddc | 510 | de |
dc.title | Mixed-dimensional modeling of flow in porous media | en |
dc.type | doctoralThesis | de |
ubs.dateAccepted | 2022-12-20 | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.publikation.seiten | iv, 160 | de |
ubs.publikation.typ | Dissertation | de |
ubs.thesis.grantor | Stuttgarter Zentrum für Simulationswissenschaften (SC SimTech) | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Dissertation-final-fixed.pdf | 40,94 MB | Adobe PDF | Öffnen/Anzeigen |
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