Postdoc: Parallel hp Adaptive Finite Elements for Viscous Incompressible 3D Flows

博士后：粘性不可压缩 3D 流的并行 HP 自适应有限元

• 批准号: 9504075
• 负责人: J. Tinsley Oden
• 金额: $ 4.5万
• 依托单位: University of Texas at Austin
• 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 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504075&HistoricalAwards=false
• 关键词: Postdoc; Parallel; hp; Adaptive; Finite

9504075 Oden The almost simultaneous development, over the last decade, of hp adaptive finite elements and multi-processor computing as means of dramatically improving fluid flow simulations makes the possibility of combining them very intriguing. The potential payoffs are very high but there are many challenges before such a combination can be achieved. Promising new developments in data structures, adaptive strategies, problem decomposition and robust parallel equation solvers, albeit in the context of model elliptic problems, make this problem tractable. In this project an attempt will be made to extend most of these developments onto solving complex three dimensional viscous incompressible flows. In particular this project will develop a new hp adaptive finite element code built on top of an extendable hash table based data structure and equipped with sophisticated a posteriori error estimators, adaptive strategies for generating optimal meshes, and customized preconditioned conjugate gradient type parallel equation solvers.

9504075 ODEN在过去十年中，HP自适应有限元和多处理器计算的几乎同时发展是大大改善流体流量模拟的手段，这使得将它们结合起来非常有趣。 潜在的回报很高，但是在实现这种组合之前存在许多挑战。 在数据结构，自适应策略，问题分解和健壮的并行方程求解器中有希望的新发展，尽管在模型椭圆问题的背景下，但可以解决此问题。 在这个项目中，将尝试将大多数这些开发项目扩展到解决复杂的三维粘性不可压缩流。特别地，该项目将开发一种新的HP自适应有限元代码，构建在基于可扩展的哈希表的数据结构之上，并配备复杂的后验误差估计器，用于生成最佳网格的自适应策略以及自定义的预处理的共轭梯度类型类型的平行方程溶液。