Mathematical Development of Large Eddy Simulation of Turbulence

湍流大涡模拟的数学发展

• 批准号: 0508260
• 负责人: William Layton
• 金额: --
• 依托单位: University of Pittsburgh
• 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 2009-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0508260&HistoricalAwards=false
• 关键词: Mathematical; Development; Large; Eddy; Simulation

The investigator studies the accuracy and reliability of large eddysimulation (LES) of turbulent flows. The research on LES includesmodeling, analysis, algorithm development, numerical analysis, andcomputational testing. The recent mathematical development of approximatede-convolution models for turbulence shows this approach to be anexcellent path for developing accurate, stable and predictive LES models.The research on finding better LES models is thus based on the approximatede-convolution framework. The research on matching algorithms to modelsuses an improved understanding of models and their numerical analysis todevelop better algorithms. The investigators research studies reliabilityof simulations by developing analytical foundations of models andalgorithms directly from the Navier Stokes equations and by computationalestimation of model sensitivity. Training Ph.D. students properly tocontribute to this area is a large part of the proposed effort.The accurate and efficient simulation of and extraction of reliableinformation from turbulent flows is a central computational challenge inmany important applications including global change estimation, biomedicaldevice design, energy efficiency improvement, optimization of industrialprocesses, safety estimation of the new generation of nuclear reactors,pollution dispersal and abatement and security issues involving dispersalof biological and chemical agents. All the above applications requireaccurate and reliable numerical simulations of complex flows and thusprogress in these applications needs efficient and accurate models ofturbulence and fast and reliable numerical methods. This project involvesthe development and testing of models for turbulent flow which can addressessential difficulties in the modeling and simulation of complex flows.This research studies the physical and mathematical foundation of themodels as well as efficient computational methods for performing numericalsimulations of the models. The aim of the research is to advance theefficiency, reliability and accuracy of the simulations of turbulencewhich form a core difficulty in these, and many other, applications.

研究者研究了湍流大型涡流模拟（LES）的准确性和可靠性。 LES的研究包括建模，分析，算法开发，数值分析和计算测试。湍流的近似卷积模型的最新数学开发表明，这种方法是开发准确，稳定和预测性LES模型的动态路径。因此，寻找更好的LES模型的研究是基于近似的卷积框架。关于算法与模型匹配的研究，对模型的理解及其数值分析促进了更好的算法。研究人员通过直接从Navier Stokes方程和模型敏感性的计算刺激来开发模型和Algorithm的分析基础来研究模拟的可靠性。培训博士students properly tocontribute to this area is a large part of the proposed effort.The accurate and efficient simulation of and extraction of reliableinformation from turbulent flows is a central computational challenge inmany important applications including global change estimation, biomedicaldevice design, energy efficiency improvement, optimization of industrialprocesses, safety estimation of the new generation of nuclear reactors,pollution dispersal and abatement and security issues involving dispersalof生物和化学剂。上述所有应用都需要对复杂流的复杂流以及这些应用程序中的启示的数值模拟，因此需要有效，准确的模型（扰动性）以及快速可靠的数值方法。该项目涉及模型的开发和测试，以解决复杂流的建模和仿真中的基本困难。这项研究研究了Themodels的物理和数学基础，以及用于执行模型数值模拟的有效计算方法。 该研究的目的是提高湍流模拟的效率，可靠性和准确性，在这些模拟中构成了这些核心困难以及许多其他应用。