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Titel |
An Unfitted Discontinuous Galerkin Method for Two-Phase Navier-Stokes Flow |
VerfasserIn |
Felix Heimann, C. Engwer, S. P. Kuttanikkad, O. Ippisch, P. Bastian |
Konferenz |
EGU General Assembly 2009
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Medientyp |
Artikel
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Sprache |
Englisch
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 11 (2009) |
Datensatznummer |
250021443
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Zusammenfassung |
Models for multiphase flow in porous media on the continuum scale have
to provide descriptions for phenomena like hysteresis and immobile
residual water saturation. These are essentially determined by the
pore geometries of the media. Hence, numerical simulations of flow
processes on the pore scale are of fundamental importance for model
understanding and development. For the science of porous media, such
simulations are significant only if they are applicable to domains
that represent at least a representative volume element. This however,
implies both a minimum domain size and a minimum spatial resolution.
This results in a vast numerical effort, even for state-of-the-art
scientific computing.
The Unfitted Discontinuous Galerkin method was
specifically designed for applications in complicated domains and has
been successfully applied to the single-phase Stokes problem within
pore scale geometries. As the simulation of Navier Stokes flow
with more than one phase entails the curvature dependent movement of
phase boundaries, the extension of the UDG method to multiphase flow
is not straight-forward. We present a UDG method for two-phase flow
without a interface-solid contact line and point out a path to
efficient multiphase flow simulations on the pore scale. |
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