A Physical Model Of Turbulent Fluids

  • A. Luciani
  • A. Habibi
  • A. Vapillon
  • Y. Duroc
Part of the Eurographics book series (EUROGRAPH)


Turbulent phenomena are a subject of great interest for the computer graphics community as well as for the physics community. In computer graphics, current models of turbulent flow are mostly kinematic and stochastic models. The models presented in this paper are all physically-based and totally deterministic. They were achieved using the Cordis-Anima physical modeller-simulator, which is based upon point physics connected by physical interactions. In order to obtain physically and visually fine phenomena, while using a rather low number of particles, we resort to multi-scale modelling: the turbulent phenomena are modelled by a medium-scale physical model, whereas the refinement is achieved by a small-scale linear physical model. The final simulation is achieved by coupling these models. The resulting simulations present various phenomena inherent in turbulent fluids (curls, vortices, dissipation, diffusion). We also succeeded in reproducing several specific observed phenomena such as Kelvin-Helmholtz and Von Karman turbulences.


Refinement Model Turbulent Fluid Emergent Phenomenon Viscous Interaction Turbulent Phenomenon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Gre 73]
    D. Greenspan Discrete Models, Reading in Applied Mathematics, Addison Wesley, 1973Google Scholar
  2. [MP 89]
    G. Miller, A. Pearce Globular Dynamics: A Connected Particle System For Animating Viscous Fluids, Computer & Graphics Vol 13, No. 3, pp 305–309 1989CrossRefGoogle Scholar
  3. [LJCFR91]
    A. Luciani, S. Jimenez, C. Cadoz, J.L. Florens, O. Raoult Computational Physics: a Modeler - Simulator for Animated Physical Objects, Proceedings of Eurographics Conference, 1991, Vienna, AustriaGoogle Scholar
  4. [WH 91]
    J. Wejchert, D. Haumann Animation Aerodynamics In Proceedings of SIGGRAPH’ 91 Volume 25, Number 4, July 1991CrossRefGoogle Scholar
  5. [CMTM 94]
    N. Chiba K. Muraoka H. Takahashi and M. Miura Two-dimensional Visual Simulation of Flames, Smokes and the Spread of Fire. The Journal of Visualization and computer Animation, vol 5, pp 37–53, 1994.CrossRefGoogle Scholar
  6. [PP 94]
    LC. H. Perry, R.W. Picard Synthesizing Flames and their Spreading Proceedings of the Fifth Eurographics Animation and Simulation Workshop (OsloGoogle Scholar
  7. [SF 93]
    J. Stam and E. Fiume Turbulent Wind Fields for Gaseous Phenomena ACM Computer Graphics (SIGGRAPH’ 93), p 369–376, August 1993 Norway September 17–18 1994 )Google Scholar
  8. [INA 90]
    M. Inakage A Simple Model of Flames Proceedings of CG International’90, pp. 71–81Google Scholar
  9. [LHM 95]
    A. Luciani, A. Habibi, E. Manzotti A Multi-Scale Physical Model of Granular Materials Proceedings of Graphics Interface’ 95.Google Scholar
  10. [CLF 93]
    C. Cadoz, A. Luciani, J.L. Florens CORDIS-ANIMA A Modelling and Simulation System for Sound and Image Synthesis - The General Formalism,Computer Music Journal, 1993, 10(1), 19–29, M.I.T. PressCrossRefGoogle Scholar
  11. [Les 94]
    M. Lesieur La Turbulence Presses Universitaires de Grenoble 1994MATHGoogle Scholar
  12. [Gre 73]
    D. Greenspan Discrete Models Addison-Wesley Reading M.A. 1973Google Scholar
  13. [Blinn 82]
    J.F. Blinn A Generalization of Algebraic Surface Drawing ACM Transactions on Graphics Vol. 1, No. 3, July 1982, Pages 235–256Google Scholar
  14. [BS 91]
    J Bloomenthal, K. Shoemake Convolution Surfaces Proceedings of SIGGRAPH’91 Computer Graphics Volume 25, Number 4, July 1991Google Scholar

Copyright information

© Springer-Verlag/Wien 1995

Authors and Affiliations

  • A. Luciani
    • 1
  • A. Habibi
    • 1
  • A. Vapillon
    • 1
  • Y. Duroc
    • 1
  1. 1.ACROE — LIFIA INPGGrenoble cedexFrance

Personalised recommendations