NDLI: Volume conserving finite element simulations of deformable models

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Volume conserving finite element simulations of deformable models

Content Provider	ACM Digital Library
Author	Fedkiw, Ronald Schroeder, Craig Irving, Geoffrey
Abstract	We propose a numerical method for modeling highly deformable nonlinear incompressible solids that conserves the volume locally near each node in a finite element mesh. Our method works with arbitrary constitutive models, is applicable to both passive and active materials (e.g. muscles), and works with simple tetrahedra without the need for multiple quadrature points or stabilization techniques. Although simple linear tetrahedra typically suffer from locking when modeling incompressible materials, our method enforces incompressibility per node (in a one-ring), and we demonstrate that it is free from locking. We correct errors in volume without introducing oscillations by treating position and velocity in separate implicit solves. Finally, we propose a novel method for treating both object contact and self-contact as linear constraints during the incompressible solve, alleviating issues in enforcing multiple possibly conflicting constraints.
File Format	PDF MP4
ISSN	07300301
DOI	10.1145/1275808.1276394
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2007-08-05
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Deformable solids Incompressibility Collisions
Content Type	Audio Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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