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Revisiting Vorticity: Pushing Fluid Solvers to the Next Level

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Mathematical Progress in Expressive Image Synthesis III

Part of the book series: Mathematics for Industry ((MFI,volume 24))

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Abstract

Although some of the earliest work in fluid simulation for computer graphics exploited vorticity (e.g. Yaeger et al.’s work on Jupiter for the film 2010 [4]), by and large practical work over the last decade or two has focused on velocity-pressure formulations. This talk looks at why vortex methods are worth coming back to, the troubles that have steered practitioners away from them, and how we might overcome them.

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References

  1. T. Brochu, T. Keeler, R. Bridson, Linear-time smoke animation with vortex sheet meshes, in Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA ’12 (2012), pp. 87–95

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  3. R. Goldade, T. Keeler, R. Bridson, Real-time vorticity-based fire and smoke simulation using marching tetrahedra, in Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation (Posters) (2013)

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  4. L.Yaeger, C. Upson, R. Myers, Combining physical and visual simulation–creation of the planet jupiter for the film, in Proceedings of the ACM SIGGRAPH 1986 (2010), pp. 85–93

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  5. X. Zhang, R. Bridson, A pppm fast summation method for fluids and beyond.ACM Trans. Graph. (Proc. SIGGRAPH Asia) 33(6), 206:1–206:11 (2014)

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  6. X. Zhang, R. Bridson, C. Greif, Restoring the missing vorticity in advection-projection fluid solvers. ACM Trans. Graph. (Proc. SIGGRAPH) (2015) (to appear)

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Correspondence to Robert Bridson .

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© 2016 Springer Science+Business Media Singapore

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Bridson, R. (2016). Revisiting Vorticity: Pushing Fluid Solvers to the Next Level. In: Dobashi, Y., Ochiai, H. (eds) Mathematical Progress in Expressive Image Synthesis III. Mathematics for Industry, vol 24. Springer, Singapore. https://doi.org/10.1007/978-981-10-1076-7_5

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  • DOI: https://doi.org/10.1007/978-981-10-1076-7_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1075-0

  • Online ISBN: 978-981-10-1076-7

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