Calculation of Large-Scale Engineering Flows by Parallel Spectral Element Methods

通过直接数值模拟技术经济地解决复杂的三维流体流动问题，需要在算法和建筑方面同时取得兼容的进展。现在，以资源高效的大规模并行处理器的形式为下一步将模拟性能提高十倍奠定了体系结构基础。到目前为止，并行算法的工作主要集中在非一般几何中理想化的简单离散化背景下偏微分方程组的并行求解的基本方面(例如，负载平衡、通信延迟)。将这些并行概念和结构扩展到复杂工程流动问题的数值解是当前提议的主题。最终目标是以超级计算机的速度并行解决一大类流动问题，但成本仅为当前超级计算机的一小部分。

The economical solution of complex three dimensional fluid flow problems by direct numerical simulation techniques requires simultaneous, compatible advances on the algorithmic and architectural fronts. The architectural foundations for the next ten-fold improvement in simulation performance are now established in the form of resource efficient massively parallel processors. Work to date on parallel algorithms has focussed on the fundamental aspects of parallel soultion of partial differential equations (e.g., load balancing, communication latency) in the context of simple discretizations of idealized in non-general geometires. The extensions of these parallel concepts and constructs to the numerical solution of complex engineering flow problems is the subject of the current proposal. The ultimate goal is the parallel solution of a broad class of flow problems at supercomputer speed, but at a fraction of current supercomputer cost.