SCREMS: High order numerical algorithms and their applications

SCEMS：高阶数值算法及其应用

• 批准号: 0922803
• 负责人: Chi-Wang Shu
• 金额: $ 8.64万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-08-15 至 2011-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0922803&HistoricalAwards=false
• 关键词: SCREMS; order; numerical; algorithms; their

This award provides funds to secure computer equipment with initial setup and maintenance to support the computational requirements of several NSF supported projects, including algorithm design and application of high order numerical methods for convection dominated problems and high order numerical methods for elasticity, and numerical relativity. The algorithms being investigated include the finite difference and finite volume WENO schemes, discontinuous Galerkin and other finite element methods, and spectral methods, especially in adaptive, multiscale and uncertain environments. A particular emphasis of some of the proposed work is development and algorithmic adaptation of high-order methods to graphics processing unit (GPU) accelerated architectures. The algorithms developed in this project will help to improve our capability to understand the fundamental physics of many important problems, and to facilitate the engineering design and production of advanced materials, aircrafts, semiconductor devices, and energy products.

该奖项为使用初始设置和维护的计算机设备提供资金，以支持几个NSF支持项目的计算要求，包括算法设计和高阶数值方法的高阶数值方法，以占主导的问题以及弹性的高阶数值方法以及数值相关性。正在研究的算法包括有限差和有限体积的WENO方案，不连续的Galerkin和其他有限元方法，以及光谱方法，尤其是在自适应，多尺度和不确定的环境中。 一些提出的工作的特别强调是高阶方法对图形处理单元（GPU）加速体系结构的开发和算法适应。该项目中开发的算法将有助于提高我们了解许多重要问题的基本物理的能力，并促进高级材料，飞机，半导体设备和能源产品的工程设计和生产。