Bitte benutzen Sie diese Kennung, um auf die Ressource zu verweisen:
http://dx.doi.org/10.18419/opus-11811
Langanzeige der Metadaten
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.advisor | Rohde, Christian (Prof. Dr.) | - |
dc.contributor.author | Ostrowski, Lukas | - |
dc.date.accessioned | 2021-12-07T08:51:45Z | - |
dc.date.available | 2021-12-07T08:51:45Z | - |
dc.date.issued | 2021 | de |
dc.identifier.other | 1780669569 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-118283 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/11828 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-11811 | - |
dc.description.abstract | This thesis consists of three parts. In the first part we consider multi-component flows through porous media. We introduce a hyperbolic system of partial differential equations which describes such flows, prove the existence of solutions, the convergence in a long-time-large-friction regime to a parabolic limit system, and finally present a new numerical scheme to efficiently simulate flows in this regime. In the second part we study two-phase flows where both phases are considered compressible. We introduce a Navier-Stokes-Allen-Cahn phase-field model and derive an energy-consistent discontinuous Galerkin scheme for this system. This scheme is used for the simulation of two complex examples, namely drop-wall interactions and multi-scale simulations of coupled porous-medium/free-flow scenarios including drop formation at the interface between the two domains. In the third part we investigate two-phase flows where one phase is considered incompressible, while the other phase is assumed to be compressible. We introduce an incompressible-compressible Navier-Stokes-Cahn-Hilliard model to describe such flows. Further, we present some analytical results for this system, namely a computable expression for the effective surface tension in the system and a formal proof of the convergence to a (quasi-)incompressible system in the low Mach regime. As a first step towards a discontinuous Galerkin discretization of the system, which is based on Godunov fluxes, we introduce the concept of an artificial equation of state modification, which is examined for a basic single-phase incompressible setting. | en |
dc.language.iso | en | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.ddc | 510 | de |
dc.title | Compressible multi-component and multi-phase flows: interfaces and asymptotic regimes | en |
dc.type | doctoralThesis | de |
ubs.dateAccepted | 2021-02-10 | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.publikation.seiten | xii, 203 | 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 | |
---|---|---|---|---|
dissertation_ostrowski.pdf | 12,14 MB | Adobe PDF | Öffnen/Anzeigen |
Alle Ressourcen in diesem Repositorium sind urheberrechtlich geschützt.