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Phenomenological Simulation of Brooks

  • Fabrice Neyret
  • Nathalie Praizelin
Part of the Eurographics book series (EUROGRAPH)

Abstract

The goal of our work is to simulate the shape and variations of the water surface on non-turbulent brooks both efficiently and at very high resolution. In this paper, we treat only the shape and animation. We concentrate on the simulation of quasi-stationary waves and ripples in the vicinity of obstacles and banks, and more particularly, shockwaves. To achieve this, we rely on phenomenological laws such as the ones collected over the last two centuries in the field of hydrodynamics: most of the visually interesting phenomena (apart from turbulence) are known qualitatively and characterized in reasonably simplified situations. It is thus wasteful to run a full-range Navier-Stokes simulation for quiet flows when only qualitative results are needed. The complexity of the velocity field along the streambed and around the obstacles is taken into account by solving a simple Laplace equation, assuming a stationary irrotational non-compressible ideal 2D flow. We obtain a stationary solution of the surface waves, that we perturb in order to get a quasi-stationary brook simulation. This yields a real-time simulation of the fluid visible features.

Keywords

natural phenomena fluids phenomenological simulation interactive simulation 

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References

  1. [1]
    M. Carlier. Hydraulique générale et appliquée. Eyrolles, 1980.Google Scholar
  2. [2]
    P. Chassaing. Mécanique des fluides. Eléments d’un premier parcours. Cepadues éditions, 1997.Google Scholar
  3. [3]
    M.S. Cramer. Gallery of fluid dynamics. http://www.eng.vt.edu/fluids/msc/gallery/gall.htm.Google Scholar
  4. [4]
    David Ebert, Kent Musgrave, Darwyn Peachey, Ken Perlin, and Worley. Texturing and Modeling: A Procedural Approach. Academic Press, October 1994.Google Scholar
  5. [5]
    R. Feynman. Lectures on physics. Addison-Weisley Publishing Compagny, 1977.Google Scholar
  6. [6]
    Nick Foster and Demitri Metaxas. Realistic animation of liquids. In Wayne A. Davis and Richard Bartels, editors, Graphics Interface’ 96, pages 204–212. Canadian Information Processing Society, Canadian Human-Computer Communications Society, May 1996.Google Scholar
  7. [7]
    Nick Foster and Dimitris Metaxas. Modeling the motion of a hot, turbulent gas. In Turner Whitted, editor, SIGGRAPH 97 Conference Proceedings, Annual Conference Series, pages 181–188. ACM SIGGRAPH, Addison Wesley, August 1997.Google Scholar
  8. [8]
    Alain Fournier and William T. Reeves. A simple model of ocean waves. In David C. Evans and Russell J. Athay, editors, Computer Graphics (SIGGRAPH’ 86 Proceedings), volume 20, pages 75–84, August 1986.Google Scholar
  9. [9]
    Manuel Noronha Gamito, Pedro Faria Lopes, and Mano Rui Gomes. Two-dimensional.simulation of gaseous phenomena using vortex particles. In Dimitri Terzopoulos and Daniel Thalmann, editors, Computer Animation and Simulation’ 95, pages 2–15. Eurographics, Springer-Verlag, September 1995.Google Scholar
  10. [10]
    Jean-Christophe Gonzato and Bertrand Le Saec. A phenomenological model of coastal scenes based on physical considerations. In D. Thalmann and M. van de Panne, editors, Computer Animation and Simulation’ 97, Eurographics, pages 137–148. Springer-Verlag Wien New York, 1997.CrossRefGoogle Scholar
  11. [11]
    Michael Kass and Gavin Miller. Rapid, stable fluid dynamics for computer graphics. In Forest Baskett, editor, Computer Graphics (SIGGRAPH’ 90 Proceedings), volume 24, pages 49–57, August 1990.Google Scholar
  12. [12]
    J. Lighthill. Waves in fluids. Cambridge University Press, 1978.Google Scholar
  13. [13]
    G. A. Mastin, P. A. Watterberg, and J. F. Mareda. Fourier synthesis of ocean scenes. IEEE Computer Graphics and Applications, 7(3):16–23, March 1987.CrossRefGoogle Scholar
  14. [14]
    L.M. Milne-Thomson. Theoretical Hydrodynamics. MacMillan & Co LTD, 1968.Google Scholar
  15. [15]
    Darwyn R. Peachey. Modeling waves and surf. In David C. Evans and Russell J. Athay, editors, Computer Graphics (SIGGRAPH’ 86 Proceedings), volume 20, pages 65–74, August 1986.Google Scholar
  16. [16]
    Ken Perlin. An image synthesizer. In B. A. Barsky, editor, Computer Graphics (SIGGRAPH’ 85 Proceedings), volume 19(3), pages 287–296, July 1985.Google Scholar
  17. [17]
    Ken Perlin and Fabrice Neyret. Flow noise: textural synthesis of animated flow using enhanced Perlin noise. In SIGGRAPH 2001 Technical Sketches and Applications, August 2001.Google Scholar
  18. [18]
    Jean-Pierre Petit. Le mur du silence. Belin. http://www.chez.com/jppetit/mhd.html.Google Scholar
  19. [19]
    M. Shinya and A. Fournier. Stochastic motion-motion under the influence of wind. Computer Graphics Forum, 11(3):119–128, 469, 1992.zbMATHCrossRefGoogle Scholar
  20. [20]
    Japan society of mechanical engineers. Visualized flow. Pergamon Press, Oxford, 1988Google Scholar
  21. [21]
    Jos Stam. Stochastic dynamics: Simulating the effects of turbulence on flexible structures. Computer Graphics Forum, 16(3):159–164, August 1997. Proceedings of Eurographics’ 97.CrossRefGoogle Scholar
  22. [22]
    Jos Stam. Stable fluids. In Alyn Rockwood, editor, Proceedings of the Conference on Computer Graphics (Siggraph99), pages 121–128, N.Y., August 8-13 1999. ACM Press.Google Scholar
  23. [23]
    Jos Stam and Eugene Fiume. Turbulent wind fields for gaseous phenomena. In Proceedings of SIGGRAPH’ 93, pages 369–376. ACM SIGGRAPH, 1993.Google Scholar
  24. [24]
    Sebastien Thon, Jean-Michel Dischler, and Djamchid Ghazanfarpour. Ocean waves synthesis using a spectrum-based turbulence function. In Computer Graphics International Proceeding, 2000.Google Scholar
  25. [25]
    Sebastien Thon, Jean-Michel Dischler, and Djamchid Ghazanfarpour. A simple model for visually realistic running waters. In Eurographics UK, 2000.Google Scholar
  26. [26]
    Sebastien Thon and Djamchid Ghazanfarpour. A semi-physical model of running waters. In Eurographics UK, 2001.Google Scholar
  27. [27]
    Jakub Wejchert and David Haumann. Animation aerodynamics. In Thomas W. Sederberg, editor, Computer Graphics (SIGGRAPH’ 91 Proceedings), volume 25, pages 19–22, July 1991.Google Scholar
  28. [28]
    Yingqing Xu, Cheng Su, Dongxu Qi, Hua Li, and Shenquan Liu. Physically based simulation of water currents and waves. Computers & Graphics, 21(3):277–280, May 1997.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Fabrice Neyret
    • 1
  • Nathalie Praizelin
    • 1
  1. 1.iMAGIS-GRAVIR/IMAG-INRIAFrance

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