Presidential Young Investigators Award

总统青年研究员奖（PYI）将致力于 计算工程，特别是以下三个 将研究的领域：算法增强， 计算流体动力学和其他对流扩散 系统，并在并行超级计算机上实现。 对于二维或多维的场问题，域分解- 位置是跨进程划分操作自然方法， sors和分区数据跨存储器，因为数据 结构和算法中采用了一个证明串行代码 可以用特殊代码结转到并行情况， 处理人为引入的分区边界。 的 并行化迭代格式的主要瓶颈是 预处理 在domaindecom中预处理的目标- 立场是创建独立或几乎独立的线程 执行和优化内存管理的问题太大 以适应活动核心。 在算法框架下要研究的一些问题 包括以下步骤： 1.自适应网格化和层次之间的过渡 在子域边界处发生的细化。 2.预处理和主动控制的自适应更新 局部收敛速度。 3.子域边界之间的过渡区域， 三维问题。 需要解决的执行问题是： 1.复杂域几何 2.描述超级计算机的性能（克雷等） 域分解应用程序。 3.域分解核外解决方案 技术与传统技术。 一些测试问题的区域分解将是 应用的是：空气动力学建模。油藏建模，半 导体器件物理建模和详细动力学 燃烧模拟

This Presidential Young Investigator (PYI) Award will be devoted to computational engineering, in particular, the following three areas will be examined: algorithmic enhancements, applications to computational fluid dynamics and other convective-diffusive systems, and implementation on parallel supercomputers. For field problems with in two or more dimensions, domain decom- position is a natural way to partition operations across proces- sors and to partition data across memories, since both the data structures and the algorithms employed in a proven serial code can be carried over to the parallel case with special code to treat the artificially introduced partitioning boundaries. The principal bottleneck to parallelizing iterative schemes is the preconditioning. The goal of preconditioning in domaindecom- position is to create independent or nearly independent threads of execution and optimal memory management of problems too large to fit in active core. Some of the issues to be examined under algorithmic include: 1. adaptive gridding and transition between levels of refinements occurring at subdomain boundaries. 2. adaptive updates of preconditioning and active control of local convergence rates. 3. transitional regions between subdomain boundaries for three dimensional problems. The implementation issues to be addressed are: 1. complex domain geometry. 2. characterizing the performance of supercomputers (Cray, etc) on domain-decomposed applications. 3. comparison between domain-decomposed out-of-core solution techniques with traditional techniques. Some of the test problems for which domain decomposition will be applied are: aerodynamics modeling. oil reservoir modeling, semi- conductor device physics modeling, and detailed kinetics combustion modeling.