Mathematical Sciences: Numerical Computation of Pattern Formation in Combustion

该项目涉及使用自适应伪光谱方法来计算显示时空模式的固体和气体燃烧模型的解决方案。特别是，首席研究员将研究火焰如何通过模式形成的机制过渡到越来越复杂的状态。对火焰如何传播的研究是一个重要的领域，吸引了科学家、数学家和工程师的注意。在这个建议中，首席研究员将找到燃烧问题的数值解决方案，模拟脉动火焰，细胞火焰和行进火焰锋的时间演变。

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.