An efficient multigrid method for the simulation of high-resolution elastic solids

Abstract

We present a multigrid framework for the simulation of high-resolution elastic deformable models, designed to facilitate scalability on shared memory multiprocessors. We incorporate several state-of-the-art techniques from multigrid theory, while adapting them to the specific requirements of graphics and animation applications, such as the ability to handle elaborate geometry and complex boundary conditions. Our method supports simulation of linear elasticity and corotational linear elasticity. The efficiency of our solver is practically independent of material parameters, even for near-incompressible materials. We achieve simulation rates as high as 6 frames per second for test models with 256K vertices on an 8-core SMP, and 1.6 frames per second for a 2M vertex object on a 16-core SMP.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 01, 2010
Source ID
10.1145/1731047.1731054

Entities

People

  • Achi Brandt
  • Eftychios Sifakis
  • Joseph Teran
  • Yongning Zhu

Organizations

  • Division of Computing and Communication Foundations
  • National Science Foundation Division of Mathematical Sciences
  • Office of Naval Research
  • United States Department of Energy
  • University of California
  • University of California, Los Angeles
  • Weizmann Institute of Science

Tags

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.