A fast variational framework for accurate solid-fluid coupling

  • Authors:

  • Christopher Batty;Florence Bertails;Robert Bridson

  • Affiliations:

  • University of British Columbia;University of British Columbia;University of British Columbia

  • Venue:
  • ACM SIGGRAPH 2007 papers
  • Year:
  • 2007

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Abstract

Physical simulation has emerged as a compelling animation technique, yet current approaches to coupling simulations of fluids and solids with irregular boundary geometry are inefficient or cannot handle some relevant scenarios robustly. We propose a new variational approach which allows robust and accurate solution on relatively coarse Cartesian grids, allowing possibly orders of magnitude faster simulation. By rephrasing the classical pressure projection step as a kinetic energy minimization, broadly similar to modern approaches to rigid body contact, we permit a robust coupling between fluid and arbitrary solid simulations that always gives a well-posed symmetric positive semi-definite linear system. We provide several examples of efficient fluid-solid interaction and rigid body coupling with sub-grid cell flow. In addition, we extend the framework with a new boundary condition for free-surface flow, allowing fluid to separate naturally from solids.