Rayleigh-Taylor instability of immiscible fluids in porous media

DOI10.1007/s00161-014-0408-zzbMath1365.76307OpenAlexW2132268142MaRDI QIDQ2358989

Henrik Kalisch, Jan Martin Nordbotten, Darko Mitrović

Publication date: 27 June 2017

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-014-0408-z

zbMATH Keywords

Green's functionsDarcy lawsharp interface model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Liquid-gas two-phase flows, bubbly flows (76T10)

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A vanishing dynamic capillarity limit equation with discontinuous flux ⋮ On a front evolution in porous media with a source -- analysis and numerics

Cites Work

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• Discretization of Dirac delta functions in level set methods
• A level set approach for computing solutions to incompressible two-phase flow
• Dynamics of the interface between immiscible liquids of different densities with low Froude number
• Conformal and potential analysis in Hele-Shaw cells.
• Gravity currents in horizontal porous layers: transition from early to late self-similarity
• Immiscible front evolution in randomly heterogeneous porous media
• Averaged Multivalued Solutions for Scalar Conservation Laws
• L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
• Generalized vortex methods for free-surface flow problems
• Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity
• Convection in Porous Media
• Effects of a capillary transition zone on the stability of a diffusive boundary layer