U.S.-Argentina Cooperative Research: Catastrophic Instabilities in Square Wave Detonations

该奖项将支持麻省理工学院的鲁道夫·罗萨莱斯教授与阿根廷布宜诺斯艾利斯大学的巴勃罗·M·雅各夫基斯教授开展研究合作。研究人员打算开展方波爆轰稳定性理论研究。自上个世纪末以来，反应激波在气体可燃介质(爆轰波)中的传播问题就引起了研究人员的兴趣。这种传播的第一批模型是在本世纪初提出的，但很快就意识到它们过于简单，没有考虑到爆轰波非常丰富的结构。自20世纪50年代初以来，S的研究人员一直试图通过研究平面爆炸的稳定性来理解这一理论。特别是，方波模型允许进行相对简单的线性化稳定性分析，但会导致相互矛盾的结果和“灾难性的不稳定性”。研究人员打算通过数值研究和分析研究相结合的方式，调查这个模型如此糟糕的稳定性的原因。该项目将把Rosales教授在分析技术方面的经验与Jacovkis教授的计算背景结合起来。

This award will support Professor Rodolfo Rosales of MIT in a research collaboration with Professor Pablo M. Jacovkis of the University of Buenos Aires, Argentina. The researchers intend to carry out research in the stability theory of square wave detonations. The problem of propagation of reacting shocks in a gaseous combustible media (detonation waves) has interested researchers since the end of the last century. The first models for such propagation were proposed at the beginning of the century but it was soon realized that they were too simple and did not take into account the very rich structure of detonation waves. Since the early 1950's researchers have attempted to understand the theory by investigating the stability of plane detonations. In particular, the Square Wave Model allows for a linearized stability analysis that is relatively simple but leads to contradictory results and "catastrophic instabilities". The researchers intend, through a combination of numerical and analytical studies, to investigate the reasons for such badly believed stability for this model. The project will combine the experience of Prof. Rosales in analytical techniques with the computational background of Prof. Jacovkis.