Rayleigh–Taylor instability of immiscible fluids in porous media

The time development of an interface separating two immiscible fluids of different densities in heterogeneous two-dimensional porous media is studied. The governing equations are simplified with the help of approximate Green’s functions which allow computation of the shape of the interface directly...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2016-05, Vol.28 (3), p.721-731
Main Authors: Kalisch, H., Mitrovic, D., Nordbotten, J. M.
Format: Article
Language:English
Subjects:
Approximation
Classical and Continuum Physics
Comparative analysis
Computational fluid dynamics
Engineering Thermodynamics
Fluid dynamics
Fluid flow
Fluids
Heat and Mass Transfer
Laws, regulations and rules
Mathematical analysis
Mathematical models
Media
Numerical analysis
Original Article
Physics
Physics and Astronomy
Porous media
Simulation
Structural Materials
Studies
Theoretical and Applied Mechanics
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Summary:The time development of an interface separating two immiscible fluids of different densities in heterogeneous two-dimensional porous media is studied. The governing equations are simplified with the help of approximate Green’s functions which allow computation of the shape of the interface directly without resolving the fluid flow in the entire domain. The new formulation is amenable to numerical approximation, and the reduction in dimension leads to a significant gain in efficiency in the numerical simulation of the interfacial dynamics. Several test cases are investigated, and the numerical solutions are compared to known exact solutions and experimental data.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-014-0408-z