منابع مشابه
Visualizing Ensembles of Viscous Fingers
This paper presents a topological data analysis framework based on persistent homology and Morse complexes for the visualization and analysis of ensemble data-sets representing viscous fingers. Our approach quantitatively corroborates the classical description of viscous fingers. A systematic analysis across several data resolutions indicates converging statistics as the resolution increases.
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We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of ...
متن کاملViscous Fingers: A topological Visual Analytic Approach
We present a web-based visual analytics framework to visualize viscous fingers that combines particle systems, direct volume rendering, and graphs. In our first step, we apply a Gaussian filter to the particle dataset to obtain a voxel representation for the entire computational domain. Next, we extract and track the viscous fingers using Reeb graphs, where the fingers are treated as level sets...
متن کاملDynamics of viscous fingers and threshold instability.
We present a detailed weakly nonlinear analysis, along with a solvability analysis, of a new instability in viscous ngering which we term the Surface-Tension-Driven instability. This instability occurs when the surface tension is modiied in proportion to the local curvature. It is an intrinsically nonlinear instability which always requires a nite-amplitude perturbation to trigger it. It is als...
متن کاملEffective description of the interaction between anisotropic viscous fingers
We study patterns formed by viscous fingering in a rectangular network of microfluidic channels. Due to the strong anisotropy of such a system, the emerging patterns have a form of thin needle-like fingers, which interact with each other, competing for an available flow. We develop an upscaled description of this system in which only the fingers are tracked and the effective interactions betwee...
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ژورنال
عنوان ژورنال: Nature
سال: 1992
ISSN: 0028-0836,1476-4687
DOI: 10.1038/356113a0