Applications of Computer-Extended Series

计算机扩展系列的应用

• 批准号: 8821460
• 负责人: Milton Van Dyke
• 金额: $ 31.61万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-04-01 至 1992-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8821460&HistoricalAwards=false
• 关键词: Applications; Computer; Extended; Series

Computer-extended series, developed from perturbation analysis, will be utilized to resolve a number of paradoxes in certain flows. These are as follows: Flow in a coiled pipe; flow separation in a corrugated pipe; boundary layer separation in both steady and unsteady flow; the role of transcendentally small terms in series expansions for flows at low Reynolds number; and viscoelastic flows with convergence problems at critical values of internal relaxation time. In each case, there exist puzzling discrepancies and paradoxes which have prevented the utilization of large scale computations with confidence in their results. *

从微扰分析发展而来的计算机扩展级数将被用来解决某些流动中的一些悖论。它们包括：盘管中的流动；波纹管中的流动分离；定常和非定常流动中的边界层分离；低雷诺数流动的级数展开式中超小项的作用；以及粘弹性流动在内部松弛时间临界值的收敛问题。在每一种情况下，都存在令人费解的差异和悖论，这阻碍了对结果有信心地使用大规模计算。*