高雷诺数流动的控制方程体系和扩散抛物化Navier-Stokes方程组的意义和用途
SIGNIFICANCE AND USE OF BASIC EQUATION SYSTEM GOVERNING HIGH REYNOLDS (Re) NUMBER FLOWS AND DIFFUSION-PARABOLIZED NAVIER-STOKES (DPNS) EQUATIONS
查看参考文献34篇
|
文摘
|
在计算机发达的时代,高雷诺(Re)数绕流计算中有无必要使用简化NS方程组,本文讨论这个问题.主要内容如下:(1)高Re数绕流包含3种基本流动:所有方向对流占优流动、所有方向对流扩散竞争流动和部分方向对流占优部分方向对流扩散竞争流动(简称干扰剪切流动),3个基本流动的特征彼此不同且在流场中所占领域大小彼此相差悬殊,NS方程区域很小,它们的最简单控制方程组Euler、Navier-Stokes(NS)和扩散抛物化(DP)NS方程组的数学性质彼此不同,因此利用Euler-DPNS-NS方程组体系分析计算高Re数绕流流动就是一个合乎逻辑的选择,该法与利用单一NS方程组的常用方法可以彼此检验和补充.(2)流体之间以及流体与外界的动量、能量和质量交换,流态从层流到湍流的演化主要发生在干扰剪切流动中,干扰剪切流及其最简单控制方程--DPNS方程组具有基础意义;DPNS方程组笔者在1967年已提出.(3)诸简化NS方程组:DPNS、抛物化(P)NS、薄层(TL)NS、黏性层(VL)NS方程组的发展、相互关系,它们的历史贡献和今后的用途;它们的数学性质均为扩散抛物型,但它们包含的黏性项彼此有所不同;从流体力学角度来看,它们中只有DPNS方程组能够准确描述干扰剪切流动.提出把诸简化NS方程组统一为DPNS方程组的建议.(4)干扰剪切流--DPNS方程组与无干扰剪切流--边界层方程组之间的关系以及进一步研究干扰剪切流的意义. |
|
其他语种文摘
|
In the times of the rapid development of computer art, one wonders whether it is necessary or not to consider simplified Navier-Stokes (NS) equations in numerical simulations of high Reynolds number flows over bodies. This problem is examined in this paper. (1) Any high Re number flow over bodies consists of three basic flows: the flow with convection-dominant in all spatial directions, the flow with convection-diffusion competition in all directions and the flow with convection-dominant in part directions and convection-diffusion competition in part directions, which is called the interacting shear flow; the features of the three basic flows are different; their simplest conservation equations, i.e. the Euler equations, Navier-Stokes (NS) equations and diffusion-parabolized(DP) NS equations, have different mathematical characteristics; there is a great disparity in domains of the three basic flows and the domains of NS equations are very small. Therefore, adopting Euler-DPNS-NS equation system to analyze and compute high Re number flows over bodies is a logical approach. There exists a mutual examined-complemented relationship of this approach with the usual one of adopting only NS equations. Both the momentum-, energy- and mass- exchanges between fluid and fluid, fluid and environment (such as solid wall) and flow evolution from laminar to turbulence take place mainly in the interacting shear flows, which and its simplest conservation equations-DPNS equations are fundamental. The interacting shear flow is exactly a flow with an approximate main-stream direction. The DPNS equations were presented by the author in 1967I2'15'. (2) There are several simplified NS equations similar to DPNS equations, such as parabolized (P)NS I3'22', thin-layer (TL)NSt3'231 and viscous-layer (VL)NS equations!6'24! . As to these simplified NS equations, their development, historical contribution to computational fluid dynamics, mathematical characteristics, applications and mutual relations are discussed. (3) The relationship between the interacting shear flows-DPNS equations and non-interacting shear flows-boundary layer equations is also examined. The necessity of studying further the interacting shear flows and DPNS equations are emphasized. |
|
来源
|
力学进展
,2005,35(3):427-438 【核心库】
|
|
关键词
|
流体力学
;
高Re数流动
;
干扰剪切流动
;
Navier-Stokes(NS)方程组
;
扩散抛物化NS(DPNS)方程组
|
|
地址
|
中国科学院力学研究所, 高温气体动力学重点实验室, 北京, 100080
|
|
语种
|
中文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1000-0992 |
|
学科
|
力学 |
|
文献收藏号
|
CSCD:2020745
|
参考文献 共
34
共2页
|
|
1.
周光垌. 流体力学(第二版).
流体力学(第2版),2000
|
被引
4
次
|
|
|
|
|
2.
庄逢甘. 扩散抛物化（DP）NS方程组的意义及其在计算流体力学中的应用.
空气动力学学报,2003,21(1):1-10
|
被引
4
次
|
|
|
|
|
3.
. AIAA 2003-2005 Distance learning course.
http:∥www.aiaa.org,2005
|
被引
1
次
|
|
|
|
|
4.
Erikson L E. Numerical simulation of Compressible Flows.
Numerical simulation of Compressible Flows.VAC/CTH Themo[PhD thesis],2001
|
被引
1
次
|
|
|
|
|
5.
Cebeci T. Modeling and Computational of Boundary Layer Flows.
Modeling and Computational of Boundary Layer Flows(2nd ed),2001
|
被引
1
次
|
|
|
|
|
6.
Tannehill T C. Computational Fluid Mechanics and Heat Transfer.
Computational Fluid Mechanics and Heat Transfer(3 edition),1997
|
被引
1
次
|
|
|
|
|
7.
Hoffnamm K A. Computational Fluid Dynamics for Engineers Vol.
Wichita Kansas,1995
|
被引
1
次
|
|
|
|
|
8.
. FPNS code Aerotechnologies.
http:∥www.aerotechnologies.co
|
被引
1
次
|
|
|
|
|
9.
. VULCAN hypersonic airbreathing propulsion branch NASA.
http:∥vulcan-cfd.larc.nasa.gov
|
被引
1
次
|
|
|
|
|
10.
VIPER software. Inc.
http:∥www/seainc.com
|
被引
1
次
|
|
|
|
|
11.
. GASP virginia tech aerospace engineering USA.
http:/www.gasp.org
|
被引
1
次
|
|
|
|
|
12.
. WIND the NPSRC alliance NASA glenn research center.
http:∥www.npsrc.org
|
被引
1
次
|
|
|
|
|
13.
Miller J H. Parabolized NavierStokes Code for solving surpersonic flows.
AIAA J,2000,38(10):1837-1845
|
被引
2
次
|
|
|
|
|
14.
高智. 流场计算中离散近似与力学近似相结合的几个问题.
中国学术期刊文摘,1997,5:615-17
|
被引
1
次
|
|
|
|
|
15.
高智. 简化Navier-Stokes方程组及无黏和黏性边界层联立求解.
力学学报,1982,14(6):606-661
|
被引
8
次
|
|
|
|
|
16.
高智. 简化Navier-Stokes方程的层次结构及其力学内涵和应用.
中国科学(A辑),1988,18(6):625-640
|
被引
5
次
|
|
|
|
|
17.
Stewartson K. Self-induced separation.
Proc Roy Soc A312,1968:181-201
|
被引
1
次
|
|
|
|
|
18.
卞荫贵. 边界层研究进展.
力学进展,1980,10(2/3):7-26
|
被引
1
次
|
|
|
|
|
19.
Ferziger J H. Computational Method for Fluid Dynamics.
Computational Method for Fluid Dynamics(3rd ed),2002
|
被引
1
次
|
|
|
|
|
20.
高智. 粘性流动有限差分计算的新策略.
中国科学(A辑),1999,29(5):433-443
|
被引
4
次
|
|
|
|
|
了解气象卫星更多信息，请访问