A New Unified Space/Time Treatment for Solving Direct and Thermal Design Problems in Radiative and Conductive Transport

用于解决辐射和传导传输中的直接和热设计问题的新统一空间/时间处理

• 批准号: 9619192
• 负责人: Jay Frankel
• 金额: $ 9.52万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 2001-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9619192&HistoricalAwards=false
• 关键词: New; Unified; Space; Time; Treatment

ABSTRACT This proposal is for the development of a numerical method that treats time as the fourth spatial dimension. Preliminary results obtained under a SGER grant demonstrated accurate and stable results for sample heat transfer problems. Because the effect of numerical ill-conditioning is removed by time-collocation, this new method is particularly suitable for solving inverse problems where boundary conditions are usually not known. The proposed work scope involves establishing a set of global basis functions that can be used to expand the time envelop. The goal is to develop the method to a point that it can be used to solve a variety of direct and inverse heat transfer problems.

摘要 该提案旨在开发一种将时间视为第四维空间的数值方法。 在SGER资助下获得的初步结果证明了样品传热问题的准确和稳定的结果。 由于时间配置消除了数值病态的影响，这种新方法特别适合于求解边界条件通常未知的反问题。 拟议的工作范围涉及建立一套全球的基础功能，可用于扩大的时间包络。 我们的目标是发展的方法，它可以用来解决各种直接和逆传热问题。