An efficient diffusion model for viscous fingering

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Viscous fingering is one of the most important factors to produce realistic diffusion among two miscible fluids with differing viscosities. Diffusion-limited Aggregation (DLA) has been a popular choice for the synthesis of the viscous fingering effect. However, as DLA provides a mere description of aggregation process, it is not clear how to apply the DLA model into conventional 3D fluid simulation equations. The DLA model first generates a shape description of the viscous fingering effect. The shape description is changed to a fluid flow region by the application of dilation and erosion operators. The flow region is then filled with the directions which will guide the fluid motion in a simulation. The directions are converted into a form of external force by means of a linear feedback system. Our results show that the DLA model can generate the viscous fingering effect effectively in a single phase simulation without relying on a high resolution grid. Our method is semi-physical due to the employment of DLA and is easy to implement, as the underlying concept is simple. Computational overhead is also negligible from the conventional fluid simulation.
Publisher
SPRINGER
Issue Date
2012-06
Language
English
Article Type
Article; Proceedings Paper
Keywords

CUBIC-POLYNOMIAL INTERPOLATION; HYPERBOLIC-EQUATIONS; LIMITED AGGREGATION; REALISTIC ANIMATION; FLUID SIMULATION; UNIVERSAL SOLVER; SPH; LIQUID; FLOWS

Citation

VISUAL COMPUTER, v.28, no.6-8, pp.563 - 571

ISSN
0178-2789
DOI
10.1007/s00371-012-0690-3
URI
http://hdl.handle.net/10203/102029
Appears in Collection
GCT-Journal Papers(저널논문)
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