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Issue No. 10 - Oct. (2013 vol. 19)
ISSN: 1077-2626
pp: 1708-1719
Bo Ren , Dept. of Comput. Sci., Tsinghua Univ., Beijing, China
Chen-Feng Li , Coll. of Eng., Swansea Univ., Swansea, UK
M. C. Lin , Dept. of Comput. Sci., Univ. of North Carolina, Chapel Hill, NC, USA
T. Kim , Media Arts & Technol., Univ. of California, Santa Barbara, Santa Barbara, CA, USA
Shi-Min Hu , Dept. of Comput. Sci., Tsinghua Univ., Beijing, China
The nonlinear and nonstationary nature of Navier-Stokes equations produces fluid flows that can be noticeably different in appearance with subtle changes. In this paper, we introduce a method that can analyze the intrinsic multiscale features of flow fields from a decomposition point of view, by using the Hilbert-Huang transform method on 3D fluid simulation. We show how this method can provide insights to flow styles and help modulate the fluid simulation with its internal physical information. We provide easy-to-implement algorithms that can be integrated with standard grid-based fluid simulation methods and demonstrate how this approach can modulate the flow field and guide the simulation with different flow styles. The modulation is straightforward and relates directly to the flow's visual effect, with moderate computational overhead.
Transforms, Fluids, Frequency modulation, Three-dimensional displays, Mathematical model, Computational modeling

Bo Ren, Chen-Feng Li, M. C. Lin, T. Kim and Shi-Min Hu, "Flow Field Modulation," in IEEE Transactions on Visualization & Computer Graphics, vol. 19, no. 10, pp. 1708-1719, 2013.
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