Postdoc: Spectral Methods for Complex Geometries

博士后：复杂几何的光谱方法

• 批准号: 9504002
• 负责人: David Gottlieb
• 金额: $ 4.62万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504002&HistoricalAwards=false
• 关键词: Postdoc; Spectral; Methods; Complex; Geometries

9504002 Gottlieb New spectral multi-domain methods for unsteady hyperbolic problems in complex geometries will be developed further and implemented on scalable parallel computer architectures. These schemes are based on the use of a penalty term for enforcing the boundary/patching conditions and the schemes may proven asymptotically stable. A new approach to spectral methods will allow for unstructured grids in the individual subdomains. Combining these two novel approaches will result in an algorithm with full geometric flexibility.

复杂几何中非定常双曲问题的新谱多域方法将得到进一步发展，并在可扩展的并行计算机体系结构上实现。这些格式基于使用惩罚项来强制执行边界/修补条件，并且可以证明这些格式是渐近稳定的。光谱方法的一种新方法将允许在单个子域中使用非结构化网格。将这两种新方法结合起来，将得到具有充分几何灵活性的算法。