Mathematical Sciences: Numerical Computation of Pattern Formation in Combustion

数学科学：燃烧模式形成的数值计算

• 批准号: 8922716
• 负责人: Alvin Bayliss
• 金额: $ 3万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8922716&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Numerical; Computation; Pattern

This project involves the use of an adaptive pseudo- spectral method to compute solutions of models of solid and gaseous combustion that display spatio-temporal patterns. In particular, the principal investigator will study how flames undergo transitions to increasingly complex states through the mechanism of pattern formation. The study of how flames propagate is an important area that has attracted the attention of scientists, mathematicians and engineers. In this proposal the principal investigator will find numerical solutions of combustion problems that model the evolution in time of pulsating flames, cellular flames and travelling flame fronts.

该项目涉及使用一种自适应伪谱方法来计算显示时空模式的固体和气体燃烧模型的解。特别是，首席研究员将研究火焰如何通过花纹形成机制转变为日益复杂的状态。火焰如何传播的研究一直是科学家、数学家和工程师关注的重要领域。在这项提议中，首席研究人员将找到燃烧问题的数值解，这些问题模拟了脉动火焰、蜂窝状火焰和行进火焰锋面的时间演变。