CRII: CHS: Robust Algorithms Modeling Frictional Contact with Industrial, Medical and Computer Graphics Applications

涉及复杂固体和流体动力学的自然现象的可视化模拟方法在数字动画和效果中得到了广泛的应用。计算机图形学和计算力学也被证明是在土力学、地球物理、生物力学和工程设计等不同领域推动科学和工程边界的强大组合。目前的研究既是为了缓解现有的计算瓶颈，又是为了提高模拟分辨率，重点放在具有复杂几何结构和复杂摩擦接触的耦合虚拟材料的相互作用上。项目成果将包括在各种应用中具有广泛影响的算法，例如地球力学现象的分析(滑坡、泥石流、雪崩)，用于医疗培训的完全耦合的人体部位的模拟(皮肤、肌肉、器官、骨骼)，以及颗粒状材料加工的设计(在食品、农业、采矿和制药行业)。该项目将与这些相关科学和工程领域的研究人员合作，并将倡导本科生、研究生和研究人员之间的跨学科合作。它将采取措施吸引和吸引设计和医学专业的学生，并将通过教育活动、交流计划和其他社会活动鼓励女性和少数族裔学生的研究生涯。该项目将专注于开发高度稳健和高效的新算法，通过创新的数值离散格式和连续弹塑性模型来模拟复杂环境下的摩擦接触。这项工作将利用成熟的拉格朗日/欧拉混合物质点方法(MPM)。主要的重点将放在多物理环境中具有非平凡几何形状的颗粒材料的模拟上。这些方法将利用空间/时间自适应、多尺度建模、新颖的离散化方案、高效的数据结构以及利用硬件架构的低级优化。这项工作中开发的技术将提供刚体、颗粒材料、可变形物体和流体之间的无缝耦合；它们将为统一、多功能的多材料物理解算器以最少用户干预的方式处理复杂现象奠定坚实的基础。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Visual simulation methods for natural phenomena involving complex solid and fluid dynamics have been widely applied in digital animation and effects. Computer graphics and computational mechanics have also proved to be a powerful combination for pushing the boundaries of science and engineering in diverse fields such as soil mechanics, geophysics, biomechanics and engineering design. The current research aims to both alleviate existing computational bottlenecks and improve simulation resolution, with an emphasis on interacting coupled virtual materials with elaborate geometry and intricate frictional contact. Project outcomes will include algorithms with broad impact in various applications such as the analysis of geo-mechanical phenomena (landslides, debris flows, avalanches), the simulation of fully coupled human body parts for medical training (skin, muscle, organ, bone), and the design of granular material processing (in food, agriculture, mining, and the pharmaceuticals industry). The project will collaborate with researchers from these related science and engineering fields, and will advocate for interdisciplinary collaborations among undergraduate and graduate students and researchers. It will take steps to engage and attract both design and medical science students and will encourage the research careers of women and minority students through educational events, exchange programs, and other social activities. The project will focus on the development of highly robust and efficient new algorithms for modeling frictional contact under complex settings through innovative numerical discretization schemes and continuum elastoplastic models. The work will utilize the proven hybrid Lagrangian / Eulerian Material Point Method (MPM). A primary focus will be on the simulation of granular materials with nontrivial geometries in multi-physics settings. The methods will leverage spatial / temporal adaptivity, multiscale modeling, novel discretization schemes, efficient data structures, and low-level optimization exploiting hardware architecture. The techniques developed in this work will offer seamless coupling between rigid bodies, granular materials, deformable objects, and fluids; they will establish a solid foundation for a unified, versatile multi-material physics solver to handle complex phenomena in a way that requires minimal user interference.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.