A fast variational framework for accurate solid-fluid coupling

Christopher Batty

doi:10.1145/1239451.1239551

A fast variational framework for accurate solid-fluid coupling

2007-07-29

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DOI：10.1145/1239451.1239551

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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 wellposed 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.

Keywords:

fluid simulation

physically-based animation

fluid-solid coupling

A fast variational framework for accurate solid-fluid coupling

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