
doi: 10.1007/bf01206054
We use a random choice numerical method to analyze the instability of a front separating two fluids in a porous medium. We observe a linear instability and a catastrophic finite amplitude instability. A qualitative analogy with problems involving a transition to turbulence is pointed out.
76-08, Flows in porous media; filtration; seepage, catastrophic finite amplitude instability, Basic methods in fluid mechanics, random choice method, linear instability, Multiphase and multicomponent flows, Turbulence, Hydrodynamic stability, instability of front separating two fluids, transition to turbulence, 76S05
76-08, Flows in porous media; filtration; seepage, catastrophic finite amplitude instability, Basic methods in fluid mechanics, random choice method, linear instability, Multiphase and multicomponent flows, Turbulence, Hydrodynamic stability, instability of front separating two fluids, transition to turbulence, 76S05
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