High Performance Computational Methods for Structural Mechanics

人们对下一代复合材料飞机和大型空间结构等复杂结构的兴趣与日俱增，对所用结构部件的优化性提出了越来越高的要求。通过提高用于开发和分析这些结构的计算工具的精度和效率来满足这些要求。然而，这些系统的计算需求如此之大，以至于工程师必须经常满足于相当粗略和简化的模型，以加快设计周期。执行改进的真正潜力在于改进的求解算法和并行计算。这一跨学科的研究计划将专注于为此类复杂结构的有限元分析设计高效的并行计算方法。这项研究包括计算力学、应用数学和应用计算机科学三个部分。第一个组成部分涉及开发基于有限元的离散数学模型，用于将航空航天结构表示为梁、板和壳的组件。第二部分介绍使用这些模型进行静态、暂态和振动分析的区域分解方法的设计。最后一个研究部分旨在将这些方法调优到大规模并行超级计算机上。

Growing interest in sophisticated structures such as next generation composite aircraft and large space structures, places increasing demands on the optimality of the structural components used. These demands are met by improving both the accuracy and efficiency of the computational tools used to develop and analyze these structures. However, the computational demands of these systems are so great, that engineers must frequently be satisfied with rather crude and simplified models in order to speed up the design cycle time. The true potential for execution improvement lies in improved solution algorithms and parallel computing. This interdisciplinary research program will focus on the design of efficient parallel computational methods for the finite element analysis of such complex structures. The research includes three components: computational mechanics, applied mathematics and applied computer sciences. The first component involves the development of discrete mathematical models based on finite elements for representing aerospace structures as assemblies of beams, plates and shells. The second component addresses the design of domain decomposition methods for static, transient, and vibration analyses using those models. The last research component aims to tuning these methods to massively parallel supercomputers.