Direct numerical simulation of the droplet evaporation and combustion using a discontinuous Galerkin scheme

使用不连续伽辽金方案直接数值模拟液滴蒸发和燃烧

• 批准号: 352548003
• 负责人: Professor Dr.-Ing. Martin Oberlack
• 金额: --
• 依托单位: Institut für Numerische Mathematik
• 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/352548003?language=en
• 关键词: Direct; numerical; simulation; droplet; evaporation

The study of single droplet combustion is an important step in understanding, designing and evaluating the performance of combustion systems as well as for understanding and modeling spray combustion, which plays a major role in many technical systems. The general research objective is to develop and implement a highly accurate numerical solver for the simulation of the evaporation and combustion of a single fuel droplet in an ambient flow field. The long-term objectives are to investigate the impact of a burning droplet on a solid surface as well as the impact of multiple burning droplets.For this purpose, the Discontinuous Galerkin Method (DGM) is employed to accurately compute two-phase liquid-gas flows with non-material deformable interface and the transport processes of the chemical species in the gas phase. Specifically, it is intended to extend the in-house developed DGM library BoSSS (Bounded Support Spectral Solver) to simulate the droplet combustion.In the recently finished first funding period, the single phase solver for low-Mach number compressible flows, the solver for species transport and combustion and the solver for incompressible multiphase flows have been developed. These represent challenging, essential building blocks on the road towards our ultimate objective: The numerical simulation of the combustion of a single droplet by means of the low-Mach number approximation. The fluid interface is tracked by a level set method combined with the cut-cell method and non-smooth basis functions to represent jumps of the flow properties. A further important aspect is the enhancement of the solver with respect to computational performance and mesh adaptivity.

单液滴燃烧的研究是理解、设计和评价燃烧系统性能以及理解和模拟喷雾燃烧的重要一步，在许多技术系统中起着重要作用。一般的研究目标是开发和实施一个高精度的数值求解器，用于模拟环境流场中单个燃料液滴的蒸发和燃烧。为了研究燃烧液滴对固体表面的撞击以及多个燃烧液滴对固体表面的撞击，采用间断Galerkin方法（DGM）精确计算了具有非物质变形界面的气液两相流动以及气相中化学组分的输运过程.具体而言，它的目的是扩展内部开发的DGM库BoSSS（有界支持光谱求解器）来模拟液滴燃烧。在最近完成的第一个资助期，低马赫数可压缩流的单相求解器，组分传输和燃烧的求解器和不可压缩多相流的求解器已经开发。这些代表了通往我们最终目标的道路上具有挑战性的重要基石：通过低马赫数近似对单个液滴燃烧进行数值模拟。流体界面的跟踪水平集方法结合切割细胞方法和非光滑基函数来表示的流动特性的跳跃。另一个重要方面是求解器在计算性能和网格自适应性方面的增强。