A study of how indicators for 2-D turbulence depend on the driving force in the Navier-Stokes equation
研究二维湍流指标如何取决于纳维-斯托克斯方程中的驱动力
基本信息
- 批准号:0511533
- 负责人:
- 金额:$ 28.36万
- 依托单位:
- 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:2005-06-01 至 2010-05-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This project is focused on the discovery of driving forces that supportthe Kraichnan theory of 2-D fully developed turbulence. In recent workthe investigators and their collaborators have identified critical wavenumbers expressed as averages of different norms of the solution to theNavier-Stokes equations (NSE). These wave numbers provide necessary, andnearly sufficient conditions for the Kraichnan theory to hold. This teamhas also localized to some extent the global attractor of the NSE in aplane spanned by two of these norms (one being the energy), to helpunderstand which driving forces produce these conditions. The proposedwork will combine this analysis with computational optimization to zero inon such forces, and then study in detail the turbulent features theyproduce. The mathematical treatment of turbulence is largely driven bythe heuristic theories of Kolmogorov, Batchelor and Kraichnan. Theapproach taken in projecting the attractor however, seems to be entirelynew. The information provided by this analysis will guide thecomputational component which otherwise would be confronted with a vastlandscape of possible driving forces to consider.Turbulence is readily observed in three-dimensional physical spacedomains. Most people think of a bumpy plane rides (in this case thedomain is the volume around the airplane). Like the swirls generated byrocks in a stream, rapidly changing patterns form in the air around theplane. Turbulence theories do not attempt to predict the precisedevelopment of these patterns, but rather find (a) consistent laws whichdescribe how, on average, energy is transferred to smaller length scales,and (b) critical length scales at which this this phenomenon changes. True 2-D flows in nature are less prevalent. The most prominent example,the earth's atmosphere, is actually a thin 3-D domain, whose behaviorapproaches that of a 2-D flow. The fate of energy over different lengthscales is more complicated for 2-D flow, though that of 3-D flow is insome sense embedded into it. Though 2-D experiments are difficult tocarry out in the laboratory, they allow for much finer study on acomputer. Of all 2-D flows, the one studied in this project is arguablythe most amenable to analysis and efficient simulation. Yet it isfundamental, not only to 2-D and nearly 2-D flows such as the atmosphere,but also to 3-D turbulence due to universality.
该项目的重点是发现支持Kraichnan二维充分发展湍流理论的驱动力。 在最近的工作中,研究人员和他们的合作者已经确定了临界波数,表示为Navier-Stokes方程(NSE)解的不同范数的平均值。 这些波数为Kraichnan理论的成立提供了必要的、几乎充分的条件。 该团队还在一定程度上将NSE的全局吸引子定位在由两个规范(一个是能量)跨越的平面上,以帮助理解哪些驱动力产生这些条件。 本文将联合收割机与计算优化相结合,对这种力进行归零,然后详细研究它们产生的湍流特性。 湍流的数学处理在很大程度上是由Kolmogorov,Batchelor和Kraichnan的启发式理论驱动的。 然而,投影吸引子的方法似乎是全新的。 这一分析提供的信息将指导计算部分,否则将面临一个广阔的前景可能的驱动力考虑。湍流很容易观察到三维物理空间领域。 大多数人会想到颠簸的飞机(在这种情况下,域是飞机周围的体积)。 就像溪流中的岩石产生的漩涡一样,飞机周围的空气中形成了快速变化的图案。 湍流理论并不试图预测这些模式的精确发展,而是寻找(a)描述能量如何平均转移到较小长度尺度的一致定律,以及(B)这种现象发生变化的临界长度尺度。真正的二维流动在自然界中并不普遍。 最突出的例子是地球大气层,它实际上是一个薄的3-D域,其行为接近2-D流的行为。 虽然三维流动在某种意义上也包含在二维流动中,但二维流动在不同长度尺度上的能量分布更为复杂,虽然二维流动实验很难在实验室中进行,但可以在计算机上进行更精细的研究。 在所有的二维流动中,本项目所研究的流动无疑是最适合分析和有效模拟的。 然而,它是基本的,不仅二维和近二维流动,如大气,而且三维湍流由于普遍性。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Michael Jolly其他文献
Improving Sglt2i Use On Our Interventional Cardiology Service For Patients At Risk For Heart Failure
- DOI:
10.1016/j.cardfail.2023.10.457 - 发表时间:
2024-01-01 - 期刊:
- 影响因子:
- 作者:
Aditya Kesari;Katherine Crawford;Joseph Campbell;Christopher Huff;Michael Jolly - 通讯作者:
Michael Jolly
LOST IN THE CLOTS: A CASE OF PRIMARY PULMONARY ARTERY SARCOMA MASQUERADING AS A PULMONARY EMBOLISM
- DOI:
10.1016/s0735-1097(24)04772-7 - 发表时间:
2024-04-02 - 期刊:
- 影响因子:
- 作者:
Sarah Grebennikov;Michael Jolly;Joseph Campbell;Mitchell J. Silver - 通讯作者:
Mitchell J. Silver
Outcomes of Endovascular Venous Stenting in Patients Receiving Direct Oral Anticoagulants and Antiplatelet Therapy: A Single-Center Experience
- DOI:
10.1016/j.jvsv.2019.12.039 - 发表时间:
2020-03-01 - 期刊:
- 影响因子:
- 作者:
Katherine Hays;Michael Jolly;Raghu Kolluri - 通讯作者:
Raghu Kolluri
Red Flags for IPO Downfalls in New Zealand
新西兰IPO失败的危险信号
- DOI:
10.1108/mf-05-2017-0197 - 发表时间:
2017 - 期刊:
- 影响因子:0
- 作者:
Huong Dang;Michael Jolly - 通讯作者:
Michael Jolly
Linear morphea masquerading as superficial thrombophlebitis
伪装成血栓性浅静脉炎的线状硬斑病
- DOI:
- 发表时间:
2018 - 期刊:
- 影响因子:3.5
- 作者:
Michael Jolly;Seth Bendo;R. Kolluri - 通讯作者:
R. Kolluri
Michael Jolly的其他文献
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{{ truncateString('Michael Jolly', 18)}}的其他基金
A Computational Study of the Nudging Approach to Data Assimilation
数据同化助推方法的计算研究
- 批准号:
1818754 - 财政年份:2018
- 资助金额:
$ 28.36万 - 项目类别:
Continuing Grant
Collaborative Research: Determining Forms and Data Assimilation with Stochastic Data
协作研究:利用随机数据确定形式和数据同化
- 批准号:
1418911 - 财政年份:2014
- 资助金额:
$ 28.36万 - 项目类别:
Standard Grant
Collaborative Proposal: Study of turbulence in physical systems through complex singularities and determining modes
合作提案:通过复杂奇点和确定模式研究物理系统中的湍流
- 批准号:
1109638 - 财政年份:2011
- 资助金额:
$ 28.36万 - 项目类别:
Standard Grant
Collaborative Research: Analysis of incompressible high Reynolds number flows
合作研究:不可压缩高雷诺数流动分析
- 批准号:
1008861 - 财政年份:2010
- 资助金额:
$ 28.36万 - 项目类别:
Standard Grant
FRG Collaborative Research: Approximation of Lyapunov exponents
FRG 协作研究:Lyapunov 指数的近似
- 批准号:
0139874 - 财政年份:2002
- 资助金额:
$ 28.36万 - 项目类别:
Standard Grant
Approximation of the Global Attractors of Evolution Equations
进化方程全局吸引子的近似
- 批准号:
0074460 - 财政年份:2000
- 资助金额:
$ 28.36万 - 项目类别:
Standard Grant
Approximation of the Global Attractors of Evolution Equations
进化方程全局吸引子的近似
- 批准号:
9706903 - 财政年份:1997
- 资助金额:
$ 28.36万 - 项目类别:
Continuing Grant
Mathematical Sciences: Approximation of the Global Attractors of Evolution Equations
数学科学:进化方程全局吸引子的近似
- 批准号:
9404340 - 财政年份:1994
- 资助金额:
$ 28.36万 - 项目类别:
Continuing Grant
Mathematical Sciences: Approximation of the Global Attractors of Evolution Equations
数学科学:进化方程全局吸引子的近似
- 批准号:
9007802 - 财政年份:1990
- 资助金额:
$ 28.36万 - 项目类别:
Continuing Grant
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