Numeric Computing: A High-Order Kinetic-Based Quadrature Moment Method for Gas-Particle Flows

数值计算：一种基于高阶动力学的气体粒子流求积矩方法

• 批准号: 0830214
• 负责人: Rodney Fox
• 金额: $ 37.5万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0830214&HistoricalAwards=false
• 关键词: Numeric; Computing; Order; Kinetic; Based

High Order Kinetic-Based Quadrature Moment Method for Gas Particle Flows AbstractThis research involves developing and demonstrating a physics-based predictive tool for gas particle flows. Physical phenomena involving gas particle flows are ubiquitous in engineering. Spray combustion, pollutant transport, helicopter brownout are a few such examples. The understanding and prediction of gas particle flows are critical in engineering design to enhance performance (e.g. improved combustion efficiency) or mitigate harmful effects (e.g. helicopter brownout). The primary objective of this project is to develop a tool, which can be applied to a wide range of gas particle flows, and is fast and accurate enough to impact the design process. Predictive computational models developed in this work will have direct applications in the design of automotive and aircraft engines, chemical processing plants, rocket engines, diesel and spark ignition engines, and industrial furnaces. Several methods are popular in gas particle multiphase flows, for example, the Lagrangian method, the volume of fluid method and the level set method. Although they all achieved success in some applications, they also possess some fundamental weaknesses. In this project, the investigators apply the recently developed direct quadrature method of moments to treat the kinetic equation in an Eulerian framework. Since it is not necessary to follow and resolve each individual particle, as in the Lagrangian method, the DQMOM method is several orders faster. In addition, an unstructured grid based high-order spectral difference method is employed to discretise the governing equations to achieve higher resolution, and better accuracy and efficiency for complex configurations than the current state-of-the-art second-order methods. The developed tool is validated with several benchmark test problems.

气体颗粒流动的高阶动力学求积矩方法本研究涉及开发和演示一种基于物理的气体颗粒流动预测工具。涉及气体颗粒流动的物理现象在工程中是普遍存在的。喷雾燃烧、污染物运输、直升机限电就是几个这样的例子。在工程设计中，对气体颗粒流动的了解和预测对于提高性能(如提高燃烧效率)或减轻有害影响(如直升机限电)至关重要。这个项目的主要目标是开发一种工具，它可以应用于广泛的气体颗粒流动，并且足够快和足够准确，以影响设计过程。在这项工作中开发的预测计算模型将在汽车和飞机发动机、化工加工厂、火箭发动机、柴油和火花点火发动机以及工业熔炉的设计中直接应用。气粒多相流的数值模拟方法有拉格朗日法、流体体积法和Level Set法。虽然它们在一些应用中都取得了成功，但它们也存在一些根本性的弱点。在这个项目中，研究人员应用最近发展起来的直接求积矩方法来处理欧拉框架下的动力学方程。由于不需要像拉格朗日方法那样跟踪和求解每个单独的粒子，DQMOM方法的速度要快几个数量级。此外，采用基于非结构网格的高阶谱差分方法对控制方程进行离散化，以获得比目前最先进的二阶方法更高的分辨率，以及更好的精度和效率。通过几个基准测试问题对该工具进行了验证。