Elements:Software A Scalable Open-Source hp-Adaptive FE Software for Complex Multiphysics Applications

元素：软件 适用于复杂多物理场应用的可扩展开源 hp 自适应有限元软件

• 批准号: 2103524
• 负责人: Leszek Demkowicz
• 金额: $ 58.98万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-09-01 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2103524&HistoricalAwards=false
• 关键词: Elements; Software; Scalable; Open; Source

Computer models can be used to augment, inform, and even replace expensive experimental measurements in science and engineering. However, complex models of engineering applications can quickly exceed computational capability, driving the need for advanced simulation tools. Applications in high-frequency wave simulation--such as submarine sonar (acoustics), fiber optics (electromagnetics), and structural analysis (elastodynamics)--pose a significant challenge for large-scale simulation. This project advances computational modeling capabilities through the development, documentation, and dissemination of a leading-edge simulation software. The effort builds on decades-long research and code development by the investigators and their project collaborators. Distributed as open-source, the software is accessible to the broader scientific community, thereby contributing to fundamental research and education for computer modeling in science and engineering. Furthermore, the project expands the national workforce by training young computational mathematicians at the graduate and postdoctoral levels. The project results are disseminated through conference presentations, workshops and seminars, as well as publications in scientific journals.The hp3D software leverages hybrid MPI/OpenMP parallelism to run efficiently on NSF extreme-scale computing facilities and interfaces with state-of-the-art third-party scientific libraries. In addition to publishing the hp3D code and documentation, this project focuses on the development of a scalable multigrid (MG) solver based on the pre-asymptotically stable discontinuous Petrov-Galerkin (DPG) finite element method. This DPG-MG solver represents a significant advancement in solver technology as 1) the first robust, scalable solver for problems with highly-indefinite operators, such as high-frequency wave propagation; and 2) the first multigrid solver with support for fully anisotropic hp-adaptive hybrid meshes and a reliable built-in error indicator. Serial implementations of the DPG-MG solver have demonstrated near-linear scaling with respect to degrees of freedom in both time and memory; its parallel implementation significantly expands scientific compute capabilities and enables solution of currently intractable problems in 3D wave simulation.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.

计算机模型可用于增强，告知甚至取代科学和工程中的昂贵实验测量。但是，复杂的工程应用程序模型可以迅速超过计算能力，从而促进了对高级模拟工具的需求。在高频波模拟中的应用 - 例如海底声纳（声学），光纤（电磁学）和结构分析（弹性动力学） - 对大型模拟构成了重大挑战。该项目通过开发，文档和投射仿真软件的开发，文档和传播来提高计算建模功能。这项努力是基于研究人员及其项目合作者长达数十年的研究和代码开发。该软件以开源为开源，可以访问更广泛的科学界，从而为科学和工程学的计算机建模提供了基础研究和教育。此外，该项目通过培训年轻的计算数学家在研究生和博士后水平来扩大国家劳动力。通过会议演讲，研讨会和研讨会以及科学期刊的出版物来传播该项目的结果。HP3D软件利用混合MPI/OpenMP并行性在NSF极端规模的计算设施上有效运行，并与目前的最佳第三部分科学图书馆进行交流。除了发布HP3D代码和文档外，该项目还侧重于基于预测前稳定的不连续的不连续的Petrov-Galerkin（DPG）有限元方法的可伸缩多机（MG）求解器的开发。该DPG-mg求解器代表了求解器技术的显着进步，因为1）对于高频算子（例如高频波传播）而言，第一个可稳固的可扩展求解器； 2）第一个具有支持完全各向异性HP自适应混合网格和可靠的内置误差指示器的多机求解器。 DPG-MG求解器的串行实现已证明了时间和记忆的自由度的接近线性缩放。它的并行实施大大扩展了科学计算能力，并能够解决3D Wave模拟中当前棘手的问题的解决方案。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛影响的评估评估标准来通过评估来支持的。