Discontinuous fluids

Jeong Mo Hong, Chang Hun Kim

Research output: Contribution to journalConference articlepeer-review

150 Citations (Scopus)


At interfaces between different fluids, properties such as density, viscosity, and molecular cohesion are discontinuous. To animate small-scale details of incompressible viscous multi-phase fluids realistically, we focus on the discontinuities in the state variables that express these properties. Surface tension of both free and bubble surfaces is modeled using the jump condition in the pressure field; and discontinuities in the velocity gradient field, driven by viscosity differences, are also considered. To obtain derivatives of the pressure and velocity fields with sub-grid accuracy, they are extrapolated across interfaces using continuous variables based on physical properties. The numerical methods that we present are easy to implement and do not impact the performance of existing solvers. Small-scale fluid motions, such as capillary instability, breakup of liquid sheets, and bubbly water can all be successfully animated.

Original languageEnglish
Pages (from-to)915-920
Number of pages6
JournalACM Transactions on Graphics
Issue number3
Publication statusPublished - 2005 Jul
EventACM SIGGRAPH 2005 - Los Angeles, CA, United States
Duration: 2005 Jul 312005 Aug 4


  • Bubbly water
  • Capillary instability
  • Multi-phase fluid
  • Natural phenomena
  • Surface tension
  • Viscosity

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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