Abstract
We present an interior penalty discontinuous Galerkin scheme for two-phase flow with dynamic capillary pressure effects. The mass-conservation laws are approximated directly, without the introduction of a global pressure. We prove existence and convergence of the scheme and obtain error-estimates for sufficiently smooth data.
Original language | English |
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Place of Publication | Eindhoven |
Publisher | Technische Universiteit Eindhoven |
Number of pages | 27 |
Publication status | Published - 2015 |
Publication series
Name | CASA-report |
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Volume | 1527 |
ISSN (Print) | 0926-4507 |