CAREER: The restricted nonlinear framework: A new paradigm for modeling, analysis and control of wall-bounded turbulent flows

职业：受限非线性框架：壁面湍流建模、分析和控制的新范式

• 批准号: 1652244
• 负责人: Dennice Gayme
• 金额: $ 53.15万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-03-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1652244&HistoricalAwards=false
• 关键词: CAREER; restricted; nonlinear; framework; new

A restricted nonlinear framework for modeling, analysis and control of wall-bounded turbulent flows project will develop a suite of models and tools for studying the characteristics of flow over surfaces. These flow properties have important implications in transport applications, where the interaction between the vehicle surface and the air flowing over it leads to increased friction drag and associated reductions in fuel efficiency. Wind farms are another related application, in which the air flowing over the farm interacts with both the ground and the wind turbines leading to flow patterns that directly impact the efficiency of the farm. The state-of-the-art mathematical models of the flow physics tend to be extremely complex and of high-dimension, which makes them hard to analyze and computationally expensive to simulate. The resulting models will be used to both study the flow phenomena, and to improve the accuracy of certain state-of-the-art computational tools that employ models of certain aspects of the flow to reduce the computational burden of numerical studies. Outreach activities at local Baltimore elementary schools and through a JHU summer program for high school students will therefore emphasize the connections between fundamental fluid mechanics and sustainable energy in order to put the mathematics and science they are learning in the context of pressing societal concerns. This project will develop a novel reduced order modeling framework that seeks to help overcome the challenges of characterizing wall-bounded turbulent flows, which is complicated by both the analytical intractability of the governing equations, and the associated large computational costs of fully resolved simulations. In particular, the proposed research will develop the core theory and simulation tools to extend restricted nonlinear (RNL) modeling principles to wall models for large eddy simulations (LES), high Reynolds number boundary layer flows and wind farm flow fields. The RNL model is a reduced-order model for wall-turbulence that is obtained through a dynamical restriction of the Navier-Stokes (NS) equations that leads to both simplified dynamics and an intrinsic order reduction, resulting in vastly reduced analytical and computational complexity. The expected outcomes of this work include a suite of tools for (i) analyzing and isolating key flow phenomena, (ii) developing mechanistic models of key flow processes, (iii) improving the accuracy of LES (through a RNL wall model), and (iv) designing model-based wind farm control strategies. The research is tightly coupled with an education and outreach plan that includes training of two graduate students as well as activities for elementary and high school students illustrating the application of mathematics and science to improve the efficiency of wind energy.

一个用于壁面湍流建模、分析和控制的受限非线性框架项目将开发一套用于研究表面流动特性的模型和工具。这些流动特性在运输应用中具有重要意义，其中车辆表面与流过其上的空气之间的相互作用导致摩擦阻力增加和燃料效率的相关降低。风力发电场是另一个相关的应用，其中流过农场的空气与地面和风力涡轮机相互作用，导致直接影响农场效率的流动模式。 现有的流动物理数学模型往往是非常复杂和高维的，这使得它们很难分析并且模拟计算昂贵。由此产生的模型将被用来研究流动现象，并提高某些国家的最先进的计算工具，采用模型的某些方面的流动，以减少数值研究的计算负担的准确性。因此，在当地巴尔的摩小学的推广活动，并通过高中生的JHU暑期课程，将强调基本流体力学和可持续能源之间的联系，以便把他们正在学习的数学和科学的背景下紧迫的社会问题。 该项目将开发一种新的降阶建模框架，旨在帮助克服表征壁边界湍流的挑战，这是复杂的控制方程的分析棘手性，以及完全解决模拟的相关大计算成本。 特别是，拟议的研究将开发的核心理论和仿真工具，以扩展限制非线性（RNL）建模原理的大涡模拟（LES），高雷诺数边界层流和风电场流场的壁模型。RNL模型是壁湍流的降阶模型，其通过Navier-Stokes（NS）方程的动力学约束获得，该动力学约束导致简化的动力学和固有阶降低，从而大大降低分析和计算复杂性。这项工作的预期成果包括一套工具，用于（i）分析和隔离关键流现象，（ii）开发关键流过程的机械模型，（iii）提高LES的准确性（通过RNL壁模型），以及（iv）设计基于模型的风电场控制策略。 该研究与教育和推广计划紧密结合，其中包括培训两名研究生以及为小学和高中学生开展的活动，说明数学和科学的应用，以提高风能的效率。

项目成果

Coherent structure-based approach to modeling wall turbulence

基于相干结构的壁湍流建模方法

• DOI: 10.1103/physrevfluids.4.110505
• 发表时间: 2019
• 期刊: Physical Review Fluids
• 影响因子: 2.7
• 作者: Gayme, Dennice F.;Minnick, Benjamin A.
• 通讯作者: Minnick, Benjamin A.

Restricted nonlinear scales of turbulent secondary flows over spanwise heterogeneous roughness

翼展方向非均质粗糙度上湍流二次流的受限非线性尺度

• DOI: 10.1016/j.ijheatfluidflow.2023.109212
• 发表时间: 2023
• 期刊: International Journal of Heat and Fluid Flow
• 影响因子: 2.6
• 作者: Minnick, Benjamin A.;Zhu, Xiaowei;Gayme, Dennice F.
• 通讯作者: Gayme, Dennice F.

Characterizing Energy Transfer in Restricted Nonlinear Wall-Bounded Turbulence

表征受限非线性壁界湍流中的能量传递

• 发表时间: 2019
• 期刊: 11th International Symposium on Turbulence and Shear Flow Phenomena (TSFP 11
• 作者: B. A. Minnick;D. F. Gayme
• 通讯作者: D. F. Gayme

Convective Velocities of Vorticity Fluctuations in Turbulent Channel Flows: An Input-Output Based Approach

湍流通道流中涡度脉动的对流速度：基于输入输出的方法

• 发表时间: 2019
• 期刊: Proc. of the 11th International Symposium on Turbulence and Shear Flow Phenomenon
• 作者: C. Liu;D. F. Gayme
• 通讯作者: D. F. Gayme

Spatial input-output analysis of large-scale structures in actuated turbulent boundary layers

• DOI: 10.2514/6.2021-2873
• 发表时间: 2021-07
• 期刊: AIAA AVIATION 2021 FORUM
• 作者: Chang Liu;I. Gluzman;Mitchell Lozier;S. Midya;S. Gordeyev;F. Thomas;D. Gayme