.png){kind=icon}
返回
.png){kind=icon}
.png){kind=icon}
摘要
En 中文
The applicability of Navier-Stokes equations is limited to near-equilibrium flows in which the gradients of density, velocity and energy are small. Here I propose an extension of the Chapman-Enskog approximation in which the velocity probability distribution function (PDF) is averaged in the coordinate phase space as well as the velocity phase space. I derive a PDF that depends on the gradients and represents a first-order generalization of local thermodynamic equilibrium. I then integrate this PDF to derive a hydrodynamic model. I discuss the properties of that model and its relation to the discrete equations of computational fluid dynamics. This article is part of the theme issue 'Hilbert's sixth problem'.
Keyword:
coarse-graining
finite scale
high Reynolds number
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
P
IF:
3.7
论文数:
7.7K
被引数:
2.8W
机构
引用论文
‘I trust them because my mum trusts them’: Exploring the role of trust in HPV vaccination decision-making among adolescent girls and their mothers in France.png)
Vaccine.png)
OAAI
VaccineIF0
OAAI.png){kind=icon}
分享.png){kind=icon}
收藏Fermentation Quality of Alfalfa and ltalian Ryegrass Silages Treated with Previously Fermented Juices Prepared from Both the Herbages苜蓿和意大利黑麦草青贮饲料经前期发酵汁液处理后的发酵品质OAAI
OAAI分享收藏Detection of liquid injection using an atmospheric pressure ionization radiofrequency plasma source利用大气压离子化射频等离子体源进行液体喷射检测
PREAI
分享收藏分享收藏Alteration of immunoreactivity by hydrated autoclaving, microwave treatment, and simple heating of paraffin‐embedded tissue sectionsAPMIS
APMISIF0
PREAI
分享收藏
查看更多内容