Mathematical Sciences: Dynamics of Detonations and Shock Induced Phase Changes

数学科学：爆炸动力学和冲击引起的相变

• 批准号: 8911888
• 负责人: Victor Roytburd
• 金额: $ 7.17万
• 依托单位: Rensselaer Polytechnic Institute
• 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: 1989-07-01 至 1993-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8911888&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Detonations; Shock

This research is concerned with the dynamics of reacting shock waves and continuum dynamics of phase transitions. In the first area, the principal investigator will study the nonlinear development of low frequency instabilities of multidimensional detonations. For one-dimensional geometry, the details of transition to detonation will be studied numerically. Simultaneously, the rigorous analysis of one-dimensional pulsating detonations will be performed. In the area of shock induced phase transitions, a mathematical theory for liquefaction shocks will be developed. This theory is expected to be analogous to the ZND theory of detonations. The principal investigator will study the experimentally observed phenomena of wave splitting and the low frequency instabilities of liquefaction shock fronts. A combination of asymptotic methods, numerical computations, and rigorous analysis will be used to achieve the goals of this project.

本研究关注的是反应动力学 冲击波和相变的连续动力学。 在第一个领域，首席研究员将研究 低频不稳定性的非线性发展 多维爆炸对于一维几何体， 将用数值方法研究过渡到爆轰的细节。 同时，一维的严格分析 将进行脉冲引爆。 在休克区 诱导相变，液化的数学理论 将产生冲击。 这一理论预计将在 类似于爆炸的ZND理论。 校长 研究人员将研究实验观察到的现象， 波分裂和低频不稳定性 液化冲击波阵面 渐近方法的组合，数值 计算和严格的分析将用于实现 这个项目的目标。