Animating Viscoplastic Materials with Dynamically Changing Meshes

使用动态变化的网格对粘塑性材料进行动画处理

• 批准号: 0204377
• 负责人: Jonathan Shewchuk
• 金额: $ 51万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-10-01 至 2005-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0204377&HistoricalAwards=false
• 关键词: Animating; Viscoplastic; Materials; Dynamically; Changing

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.

摘要0204377Shewchuk，加州伯克利大学的乔纳森大学我们打算为粘塑性材料开发快速、多功能且视觉准确的计算模型，范围从坚硬的、不合规的固体到低粘度流体。我们正在为视觉真实感、计算速度和鲁棒性是主要要求（数值准确性是次要的）的应用程序设计这些模型。此类应用的示例包括实时交互式训练模拟（例如手术模拟或危险任务模拟）和可视化的离线生成（例如电影效果或事故重演）。为了实现这一目标，我们必须开发快速、有保证质量的方法来生成和增量更新非结构化（不规则）三角形和四面体网格。动态变化的网格是模拟全系列粘塑性材料所必需的，特别是在可能发生大变形和混合的情况下。因此，数值模拟和重新网格划分算法的操作必须紧密集成，特别是如果我们希望最大限度地减少插值和重新插值引起的误差。为了确保我们的动态网格划分算法和实现也适用于其他应用，我们将开发一种在数值模拟和网格生成器之间传递信息的通用方法。