APPENDICES and SUPPLEMENTS
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Fedkiw course presentation from the 2006 SIGGRAPH conference
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Muller-Fischer course presentation from the 2006 SIGGRAPH conference
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ABSTRACT
These course notes are designed to give you a practical introduction to fluid simulation for graphics. The field of fluid dynamics, even just in animation, is vast and so not every topic will be covered. The focus of these notes is animating fully three-dimensional incompressible flow, from understanding the math and the algorithms to actual implementation. However, we will include a small amount of material on heightfield simplifications which are important for real-time animation.In general the approach is to make things as simple as possible, but no simpler. Constructing a fluid solver for computer animation is not the easiest thing in the world--there end up being a lot of little details that need attention-- but is perhaps easier than it may appear from surveying the literature. We will also provide pointers to some more advanced topics here and there.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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{Bat67} G. K. Batchelor. An Introduction to Fluid Dynamics. Cambridge University Press, 1967.
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{BB06} Christopher Batty and Robert Bridson. Accurate irregular boundaries in fluid simulation. In preparation, 2006.
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{Cor05} Richard Corbett. Point-based level sets and progress towards unorganised particle based fluids. Master's thesis, UBC Dept. Computer Science, 2005.
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{Har63} F. H. Harlow. The particle-in-cell method for numerical solution of problems in fluid dynamics. In Experimental arithmetic, high-speed computations and mathematics, 1963.
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{HW65} F. Harlow and J. Welch. Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. Phys. Fluids, 8:2182--2189, 1965.
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{Jef03} A. Jeffrey. Applied Partial Differential Equations. Academic Press, 2003.
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{Mon92} J. J. Monaghan. Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys., 30:543--574, 1992.
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{OF02} S. Osher and R. Fedkiw. Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag, 2002. New York, NY.
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{PTB+03} Simon Premoze, Tolga Tasdizen, James Bigler, Aaron Lefohn, and Ross Whitaker. Particle--based simulation of fluids. In Comp. Graph. Forum (Eurographics Proc.), volume 22, pages 401--410, 2003.
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N. Rasmussen , D. Enright , D. Nguyen , S. Marino , N. Sumner , W. Geiger , S. Hoon , R. Fedkiw, Directable photorealistic liquids, Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation, August 27-29, 2004, Grenoble, France
[doi> 10.1145/1028523.1028549]
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{Set96} J. Sethian. A fast marching level set method for monotonically advancing fronts. Proc. Natl. Acad. Sci., 93:1591--1595, 1996.
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{Tsi95} J. Tsitsiklis. Efficient algorithms for globally optimal trajectories. IEEE Trans. on Automatic Control, 40:1528--1538, 1995.
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{Zha05} Hongkai Zhao. A fast sweeping method for Eikonal equations. Math. Comp., 74:603--627, 2005.
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