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An efficient diffusion model for viscous fingering

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Abstract

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.

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Acknowledgements

We appreciate the anonymous reviewer’s valuable comments. We would also like to thank Jungjin Lee for many useful suggestions. This work was supported by KOCCA/MCST (2-10-7602-003-10743-01-007, Software Development for 2D to 3D Stereoscopic Image Conversion), MKE (10040959, Development of Compositing Software Supporting 4K Images), and NRF (2010-0003814, Basic Science Research Program).

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Authors and Affiliations

  1. KAIST, Daejeon, Korea

    Seunghoon Cha, Jonghyun Hwang & Junyong Noh

  2. Namseoul University, Cheonan, Korea

    Jinho Park

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  1. Seunghoon Cha
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  2. Jinho Park
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  3. Jonghyun Hwang
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  4. Junyong Noh
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Correspondence to Junyong Noh.

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Cha, S., Park, J., Hwang, J. et al. An efficient diffusion model for viscous fingering. Vis Comput 28, 563–571 (2012). https://doi.org/10.1007/s00371-012-0690-3

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