HCC: Small: Simulating and Animating Materials with Dynamic Geometry

HCC：小：使用动态几何对材料进行模拟和动画制作

• 批准号: 0915462
• 负责人: James O'Brien
• 金额: $ 50万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-08-01 至 2013-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0915462&HistoricalAwards=false
• 关键词: HCC; Small; Simulating; Animating; Materials

Abstract ? O?Brien (0915462) This research project focuses on numerical and geometric methods for physically realistic simulation of objects and materials whose shapes are grossly deforming or changing. These methods use several techniques for dynamic mesh generation, wherein unstructured tetrahedral volume meshes and triangular surface meshes evolve or change through time to accommodate the movement of a highly deformable material. This research is leading to unprecedented simulation capabilities to evolve the meshes used for numerical techniques such as finite element methods and finite volume methods, while maintaining high-quality tetrahedra and triangles. These new algorithms will enable the simulation of phenomena that could not previously be modeled well because of the difficulty of simulating materials whose shapes change radically, such as body tissues during surgery or ballistics undergoing high-speed impacts. The technical contributions of this research fall into two classes. The first contribution is numerical methods that use dynamic mesh generation to bring better accuracy to simulations of elastoplastic solids and viscous fluids undergoing plastic flow, cutting, and fracture. The simulation and dynamic mesher are being coupled so that they locally conserve mass, energy, and momentum as a mesh evolves, and so that the refinement and anisotropy of the mesh are tailored to the physical problem. The second contribution is extensions of dynamic geometry algorithms developed by the researchers that more accurately model surface evolution, that enable a finer surface resolution than volume resolution, and that easily handle topological changes and self-collisions.

抽象的 ？ O？brien（0915462）该研究项目着重于数值和几何方法，用于对物体和形状严重变形或变化的对象和材料进行物理逼真的模拟。这些方法使用多种技术来生成动态网格，其中非结构化的四面体体积网格和三角形的表面网格随着时间的流逝而变化或变化以适应高度可变形的材料的运动。 这项研究导致了前所未有的模拟能力，以进化用于数值技术的网格，例如有限元方法和有限体积方法，同时保持高质量的四面体和三角形。 这些新的算法将能够模拟现象，这些现象以前无法对其进行建模，因为难以模拟其形状彻底变化的材料，例如手术过程中的身体组织或受到高速影响的弹道术。 这项研究的技术贡献分为两类。 第一个贡献是使用动态网格产生的数值方法，以使弹性塑料固体和粘性流体的模拟具有更好的准确性，并进行塑料流，切割和断裂。 模拟和动态中的中间人耦合，以便它们在局部节省质量，能量和动量随着网格的发展，因此网格的细化和各向异性是针对物理问题量身定制的。 第二个贡献是研究人员开发的动态几何算法的扩展，这些算法更准确地模拟了表面演化，这比体积分辨率更精确，并且可以轻松处理拓扑变化和自我收集。