Detonation Shock Dynamics and Multi-Step Kinetics

DMS奖摘要奖号：0204023PI: Short， mark机构：伊利诺伊大学厄巴纳-香槟分校项目：应用数学项目经理：Catherine mavriplis标题：爆震动力学和多步动力学在我们追求对爆震动力学的基本理解的过程中，有三个突出的问题，所有这些问题在一个工程工具中都很重要，比如上面那些利用爆震的工具。这些问题涉及具有真实反应动力学的弯曲爆轰的传播和稳定性；爆燃（火焰）如何过渡到爆轰（DDT）的问题，以及引起爆轰点燃或失败的机制（临界）。该项目的主要目标之一是获得稳态和非稳态弯曲爆震波的内在表面传播规律，这些爆震波由几种形式的现实但基本的反应动力学控制。此外，工程应用中最重要的问题之一是成功起爆和防止过早失效。将对这些事件进行数学研究，包括研究在失效问题中必须考虑的一种新的爆轰传播模式，即边缘爆轰。将使用亚尺度数学建模，应用有理渐近摄动方法来推导，例如，给定系统中爆震波运动的内在表面传播定律。该项目的目的是进一步加深我们对爆炸系统中爆炸的基本数学物理的理解，从微电子应用到恒星（超新星）的坍缩。爆轰理论的传统应用主要集中在安全、国防和采矿等重要问题上。近年来，人们对现代高科技工程应用产生了浓厚的兴趣，从金属的硬化、成形和焊接，到精密切割设备和薄膜制造。

DMS Award AbstractAward #: 0204023PI: Short, MarkInstitution: University of Illinois, Urbana-ChampaignProgram: Applied MathematicsProgram Manager: Catherine MavriplisTitle: Detonation Shock Dynamics and Multi-step KineticsThere are three outstanding problems in our pursuit of a fundamental understanding of detonation dynamics, all of which are important in an engineering tool, such as those above, that utilizes detonations. These concern the propagation and stability of curved detonations with realistic reaction kinetics; the problem of how a deflagration (flame) undergoes a transition to detonation (DDT) and the mechanisms which cause a detonation to ignite or fail (criticality). One of primary goals of this project is to obtain intrinsic surface propagation laws for both steady and unsteady curved detonation waves that are governing by several forms of realistic, but fundamental, reaction kinetics. Also, one of the most important concerns in engineering applications has to do both with the successful initiation of detonation and preventing premature failure. Mathematical investigations of these events will be conducted, including research on a new mode of detonation propagation that must be accounted for in failure problems, namely the edge-detonation. Subscale mathematical modeling will be used, applying rational asymptotic perturbation methods to derive, for example, intrinsic surface propagation laws for the motion of the detonation wave in a given system.The aim of this project is to further our understanding of the basic mathematical physics of detonations in explosive systems ranging in size from micro-detonic applications to the collapse of stars (supernova). Traditional applications of detonation theory have focused on important issues such as safety, to defense and mining related uses. In recent years, there has been substantial interest in modern high-tech engineering applications ranging from hardening, forming and welding of metals, to precision cutting devices and thin-film manufacturing.