Mathematical Sciences Computing Research Environments

数学科学计算研究环境

• 批准号: 9508328
• 负责人: Thomas Russell
• 金额: $ 5万
• 依托单位: University of Colorado at Denver-Downtown Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-08-01 至 1996-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9508328&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Computing; Research; Environments

9508328 Russell The Center for Computational Mathematics at the University of Colorado at Denver will purchase an eight-processor Sun Microsystems SPARC server 1000E, which will be dedicated to the support of research in the mathematical sciences. The equipment will be used for several research projects, including in particular: Parallel Implicit Multigrid Methods for Direct Numerical Simulation of Time Dependent Compressible Turbulent Flow around Flight Vehicles. Transitional and turbulent flow at subsonic and hypersonic speeds will be approximated directly, without turbulence models. Eulerian-Lagrangian and Mixed Methods for Subsurface Flows. Flows in porous media, with emphasis on applications to oil recovery and groundwater contaminant transport, will be simulated with new numerical methods designed to be accurate for convection dominated flows through irregular geological formations. Stabilized Finite Element Methods and their Massively Parallel Implementation. Discretizations with strong accuracy and robustness for a wide range of applications will be developed and analyzed, and domain-decomposition equation solvers will be designed and implemented. Parallel Iterative Methods. Robust, fast equation solvers will be developed for equations arising from discretizations of models of solid mechanics on highly distorted finite element meshes. Preconditioned Parallel Methods for Large Symmetric Eigenproblems. Fast, accurate, robust methods will be developed for computation of several extreme eigenpairs of symmetric generalized eigenproblems. The projects span major areas of scientific computation: model development and application, discretization methods, linear equations, and eigenvalue problems. All share large-scale parallel computation as a central theme.

小行星9508328 位于丹佛的科罗拉多大学的计算数学中心将购买一台八处理器的Sun微系统公司的1000 E型服务器，专门用于支持数学科学的研究。这些设备将用于几个研究项目，特别是： 飞行器周围时间相关可压缩湍流直接数值模拟的并行隐式多重网格方法。在亚音速和高超音速下的转捩和紊流将直接近似计算，而不用紊流模型. 地下流的欧拉-拉格朗日和混合方法。多孔介质中的流动，重点是石油开采和地下水污染物输送的应用，将采用新的数值方法进行模拟，这些方法旨在准确地模拟对流主导的流动，通过不规则的地质构造。 稳定化有限元方法及其大规模并行实现。具有很强的精度和鲁棒性的离散化广泛的应用将被开发和分析，域分解方程求解器将被设计和实现。 并行迭代方法将为高度扭曲的有限元网格上固体力学模型的离散化所产生的方程开发鲁棒、快速的方程求解器。 大型对称特征值问题的预条件并行方法。快速，准确，鲁棒的方法将被开发用于计算对称广义特征值问题的几个极端特征对。 这些项目跨越科学计算的主要领域：模型开发和应用，离散化方法，线性方程和特征值问题。所有这些都将大规模并行计算作为中心主题。