Numerical Investigation of Richtmyer-Meshkov Instability in Reactive Gas Mixtures

反应气体混合物中 Richtmyer-Meshkov 不稳定性的数值研究

• 批准号: 326472365
• 负责人: Professor Dr.-Ing. Nikolaus Andreas Adams
• 金额: --
• 依托单位: Lehrstuhl für Aerodynamik und Strömungsmechanik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/326472365?language=en
• 关键词: Numerical; Investigation; Richtmyer; Meshkov; Instability

The interaction of a shock wave with a bubble of reactive gas mixture triggers Richtmyer-Meshkov instabilities and chemical reactions. With inert shock-bubble interactions (SBI) vorticity is deposited near the interface by baroclinic production. The incident shock wave is transmitted and reflected at the interface. For a heavy-gas bubble immersed in light gas the transmitted shock focuses at the downstream pole of the bubble resulting in a strong increase of pressure and temperature. Vorticity deposition leads to a strong deformation of the interface. The flow develops a turbulent mixing zone around the material interface. Non-reacting SBI was intensely studied over the last decades. In 1983 Haas and Sturtevant investigated SBI for light- or heavy-gas bubbles in air, thus establishing an entire new class of canonical flow configurations. Temperature and pressure increase due to the impacting shock wave opens the way of igniting a reactive-gas mixture without direct contact. Ex-tending SBI to reactive SBI (RSBI), Haehn et al. investigated in 2012 a stoichiometric mixture of hydrogen and oxygen, diluted by the inert gas xenon, ignited upon shock-wave impact. It was found that with increasing shock Mach numbers different reaction-wave types develop, from deflagration to detonation. The complex experimental setup of Haehn et al. implies significant uncertainties. The uncertainty in Damköhler number is around 50%. At the smallest investigated Mach number 30% of all experiments did not ignite. It is evident that without complementary numerical simulations the understanding can only be incomplete. The objective of the current project is twofold. Based on pre-liminary work on two-dimensional RSBI direct numerical simulations, we first target systematic in-vestigation of initial-data and combustion-model uncertainties. We identify quantities of interest, such as the mixing rate, enstrophy, intermediate reaction product mass fractions, and predict by non-intrusive uncertainty-propagation methods the effect of initial-data variations. We assess the prediction capability of different reaction mechanisms. The initial-data uncertainty quantification also allows to estimate impact of imperfections in reproducing the nominal experimental setup in three dimensions which are the second objective, aiming at the first quantitative numerical prediction of the experiments of Haehn et al. The objective of the three-dimensional investigation is to identify how dominant mixing mechanisms, reaction, and bubble deformation parameters differ from the ide-alized two-dimensional case, and how these differences may be related to experimental uncertain-ties. In a possible second funding period we will further increase the complexity towards engineering applications, e.g. by considering the interaction of reacting bubble clusters.

冲击波与反应性气体混合物气泡的相互作用触发了Richtmyer-Meshkov不稳定性和化学反应。在惰性激波-气泡相互作用（SBI）下，涡量通过斜压产生而沉积在界面附近。入射冲击波在界面处传播和反射。当重气泡浸没在轻气中时，传播的激波集中在气泡的下游极点，导致压力和温度的强烈升高。涡量沉积导致界面的强烈变形。流动在材料界面周围形成湍流混合区。在过去的几十年里，无反应SBI得到了广泛的研究。1983年，哈斯和斯图尔特万特研究了空气中轻气泡或重气泡的SBI，从而建立了一个全新的正则流构型。由于冲击波引起的温度和压力增加为点燃反应性气体混合物开辟了道路，而无需直接接触。将SBI扩展到反应性SBI（RSBI），Haehn等人在2012年研究了氢和氧的化学计量混合物，由惰性气体氙稀释，在冲击波撞击时点燃。结果发现，随着激波马赫数的增加，从爆燃到爆轰，发展出不同的反应波类型。Haehn等人复杂的实验装置意味着很大的不确定性。Damköhler数的不确定性约为50%。在研究的最小马赫数下，所有实验中有30%没有点火。很明显，如果没有互补的数值模拟，理解只能是不完整的。本项目有两个目标。在二维RSBI直接数值模拟的基础上，本文首先对初始数据和燃烧模型的不确定性进行了系统的研究。我们确定感兴趣的数量，如混合率，拟能，中间反应产物的质量分数，并预测非侵入性的不确定性传播方法的影响，初始数据的变化。我们评估不同反应机制的预测能力。初始数据的不确定性量化还允许估计在三维中再现标称实验装置的不完善性的影响，这是第二个目标，旨在对Haehn等人的实验进行第一次定量数值预测。三维研究的目标是确定主要的混合机制、反应和气泡变形参数与理想化的二维情况有何不同，以及这些差异与实验不确定性的关系。在可能的第二个资助期内，我们将进一步增加工程应用的复杂性，例如通过考虑反应气泡簇的相互作用。

项目成果

Reverse-Mode Automatic Differentiation and Optimization of GPU Kernels via Enzyme

• DOI: 10.1145/3458817.3476165
• 发表时间: 2021-11
• 期刊: SC21: International Conference for High Performance Computing, Networking, Storage and Analysis
• 作者: William S. Moses;Valentin Churavy;Ludger Paehler;J. Hückelheim;S. Narayanan;Michel Schanen;J. Doerfert

Scalable Automatic Differentiation of Multiple Parallel Paradigms through Compiler Augmentation

• DOI: 10.1109/sc41404.2022.00065
• 发表时间: 2022-11
• 期刊: SC22: International Conference for High Performance Computing, Networking, Storage and Analysis
• 作者: William S. Moses;S. Narayanan;Ludger Paehler;Valentin Churavy;Michel Schanen;J. Hückelheim;J. Doerfert;P. Hovland

Sparse Identification of Truncation Errors

• DOI: 10.1016/j.jcp.2019.07.049
• 发表时间: 2019-04
• 期刊: ArXiv
• 作者: Stephan Thaler;Ludger Paehler;N. Adams