Numerical simulation of combustion using mesh-free methods

使用无网格方法进行燃烧数值模拟

• 批准号: 0500505
• 负责人: Ralph Aldredge
• 金额: --
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-15 至 2008-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0500505&HistoricalAwards=false
• 关键词: Numerical; simulation; combustion; using; mesh

Public Abstract (CTS-0500505) The research involves computational modeling of turbulent combustion for two-dimensional planar or axisymmetric cylindrical-flow problems. The study will focus upon the following aspects:1. The use of level-set modeling to define the burnt and unburnt interfaces of turbulent flow.2. In the continuous regions bounded by such interfaces, mesh-free radial basis functions will be used in conjunction with the level-set methodology.The mesh-free radial basis function method will be used to time advance the solution in the interior continuous regions. We shall use the Greedy algorithm developed by Prof. Robert Schaback at Goetingen University. This algorithm is shown to be very efficient since it only uses those data centers important to reduce the residual errors at a fraction of the computational time required by finite element methods. In addition, a moving-data-center scheme will be implemented to further reduce both spatial and temporal truncation errors. This scheme will be constrained to conserve mass, momentum components and total energy at each time advance. We intend to publish our results in two parts: A. A detailed description of the numerical algorithm, and B. Numerical results describing different geometries, placement of obstacles, etc. with emphasis on computational efficiency. It is expected that the results of the research will provide benefits to society, including improved accuracy and efficiency of combustion simulations that are used to predict performance and emissions characteristics of practical combustors. This project is jointly funded by the Chemical and Transport Systems Division and the Division of Mathematical Sciences as part of the NSF Mathematical Sciences Priority Area.

公共摘要（CTS-0500505）该研究涉及二维平面或轴对称圆柱流问题的湍流燃烧计算模型。本文的研究主要集中在以下几个方面：1.利用水平集模型定义湍流的燃烧界面和未燃烧界面.在以这些界面为界的连续区域内，将结合水平集方法使用无网格径向基函数，并将无网格径向基函数方法用于在内部连续区域内将解时间提前。我们将使用由Goetingen大学的Robert Schaback教授开发的Greedy算法。该算法被证明是非常有效的，因为它只使用那些重要的数据中心，以减少在一小部分的有限元方法所需的计算时间的残余误差。此外，将实施移动数据中心方案，以进一步减少空间和时间截断误差。该方案将被限制为在每个时间推进时保持质量、动量分量和总能量守恒。我们打算分两部分发表我们的结果：A。详细说明了数值算法，并对B.数值结果描述不同的几何形状，放置的障碍物等，重点是计算效率。预计研究结果将为社会带来好处，包括提高用于预测实际燃烧室性能和排放特性的燃烧模拟的准确性和效率。 该项目由化学和运输系统部和数学科学部共同资助，是NSF数学科学优先领域的一部分。