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在过去的十年中，惠普自适应有限元和多处理器计算几乎同时发展，作为显著改善流体流动模拟的手段，这使得将它们结合起来的可能性非常有趣。 潜在的回报非常高，但在实现这种组合之前还有许多挑战。 数据结构，自适应策略，问题分解和强大的并行方程求解器，虽然在模型椭圆问题的背景下，有前途的新发展，使这个问题易于处理。 在这个项目中，将试图将这些发展的大部分扩展到解决复杂的三维粘性不可压缩流。特别是这个项目将开发一个新的惠普自适应有限元代码建立在一个可扩展的哈希表为基础的数据结构，并配备了先进的后验误差估计，自适应策略生成最佳网格，和定制的预处理共轭梯度型并行方程求解器。