CAREER: Integrated Research & Education in the Use of HPC for Realistic Simulations

该项目的研究旨在解决两个具有巨大经济潜力的计算挑战性问题，即牙科植入物和支撑骨结构的分析以及复杂的时间依赖性3D粘性流的建模。 这些应用程序将推动开发一个集成的问题解决环境，随后可以用来解决许多类似的问题。 研究的总体目标是同时优化计算过程与自适应HP离散化和使用最强大的HPC硬件，即大规模并行分布式存储器并行架构。 这种技术的结合应该允许逼真的计算机模拟的复杂的时间依赖行为固有的这两个问题，第一次。 然而，这一目标需要几个进步，使并行自适应方法所需的技术-数据结构，网格划分，处理器间通信，误差估计，自适应网格设计策略，并在多处理器环境中的自适应网格快速稳定的求解器。

Research in this project seeks to address issues arising in two computationally challenging problems with great economic potential, namely the analysis of dental implants and supporting bone structure, and the modeling of complex time-dependent 3D viscous flows. These applications will drive development of an integrated problem solving environment that can subsequently be used to solve many similar problems. The overall goal of the research is the simultaneous optimization of the computational process with adaptive hp discretizations and the use of the most powerful HPC hardware available, namely massively parallel distributed memory parallel architectures. This combination of technologies should allow realistic computer simulations of the complex time dependent behavior inherent in both of these problems, for the first time. However, this goal needs several advances in the enabling technologies required for parallel adaptive methods - data structures, mesh partitioning, inter-processor communications, error estimation, adaptive mesh design strategies, and fast and stable solvers for adaptive grids in multiprocessor environments.