Animating Viscoplastic Materials with Dynamically Changing Meshes

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ABSTRACT0204377Shewchuk, JonathanU of Calif BerkeleyWe intend to develop fast, versatile, and visually accurate computational models for viscoplas-ticmaterials ranging from stiff, non-compliant solids to low viscosity fluids. We are designingthese models for applications where visual realism, computation speed, and robustness are thepredominant requirements (with numerical accuracy being subordinate). Examples of suchapplications include real-time interactive training simulations (e.g. surgical simulation or haz-ardousduty simulations) and off-line generation of visualizations (e.g. cinematic effects oraccident reenactment).To achieve this goal, we must develop fast, guaranteed-quality methods for generating and in-crementallyupdating unstructured (irregular) triangular and tetrahedral meshes. Dynamically changing meshes are a necessity to model the complete range of viscoplastic materials, espe-cially where large deformations and mixing may occur. Thus, the actions of the numerical simulation and the remeshing algorithms must be tightly integrated, especially if we wish to minimize errors due to interpolation and reinterpolation. To ensure that our dynamic meshing algorithms and implementations are useful for other applications as well, we will develop a general methodology for communicating information between the numerical simulation andthe mesh generator.