NDLI: Skipping steps in deformable simulation with online model reduction

Content Provider	ACM Digital Library
Author	Kim, Theodore James, Doug L.
Copyright Year	2009
Abstract	Finite element simulations of nonlinear deformable models are computationally costly, routinely taking hours or days to compute the motion of detailed meshes. Dimensional model reduction can make simulations orders of magnitude faster, but is unsuitable for general deformable body simulations because it requires expensive precomputations, and it can suppress motion that lies outside the span of a pre-specified low-rank basis. We present an online model reduction method that does not have these limitations. In lieu of precomputation, we analyze the motion of the full model as the simulation progresses, incrementally building a reduced-order nonlinear model, and detecting when our reduced model is capable of performing the next timestep. For these subspace steps, full-model computation is "skipped" and replaced with a very fast (on the order of milliseconds) reduced order step. We present algorithms for both dynamic and quasistatic simulations, and a "throttle" parameter that allows a user to trade off between faster, approximate previews and slower, more conservative results. For detailed meshes undergoing low-rank motion, we have observed speedups of over an order of magnitude with our method.
Starting Page	1
Ending Page	9
Page Count	9
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/1618452.1618469
Volume Number	28
Issue Number	5
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2009-12-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Character skinning Dimensional model reduction Nonlinear solid mechanics Reduced-order modeling Subspace deformation Subspace integration
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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