扩散抛物化Navier-Stokes方程数值解法评述
NUMERICAL SOLUTIONS OF THE DIFFUSION PARABOLIZED NAVIER-STOKES EQUATIONS
查看参考文献189篇
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文摘
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20世纪60年代末期在边界层理论基础上发展起来的各种简化Navier-Stokes(N-S)方程(统称为扩散抛物化N-S方程)及其算法,较为彻底地解决了无黏流及黏流的相互干扰问题,并为高雷诺数大型复杂黏性流场的数值模拟开辟了新的途径.本文将系统地评述这一领域的主要成果,包括各种简化N-S模型的优缺点;数学奇性及正则化方法;代表性的数值解法以及最近几年的新进展. |
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其他语种文摘
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In the late 1960's the different-type simplified Navier-Stokes models, or as are generally called, the diffusion parabolized N-S (DPNS) equations, and their computational methods developed from the Prandtl's boundary-layer theory have correctly included the viscous-inviscid flow interacting mechanism and opened a new approach for simulating large-scale complex flowfields. This paper reviews the related main results of this field, including advantages and drawbacks of different simplified Navier-Stokes models; mathematical characteristics and their marching regularization procedures of the DPNS equations; various representative numerical solutions and the applicability of the DPNS equations and finally the new generalized DPNS equations. |
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来源
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力学进展
,2005,35(4):481-497 【核心库】
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关键词
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Navier-Stokes方程
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边界层方程
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PNS方程
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TLNS方程
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DPNS方程
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广义DPNS方程
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差分法
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地址
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1.
中国科学院计算数学与科学工程计算研究所, 北京, 100080
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中科院力学所, 高温气体动力学开放实验室, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0992 |
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学科
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力学 |
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基金
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国家自然科学基金
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国家863计划
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文献收藏号
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CSCD:2138631
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参考文献 共
189
共10页
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|
1.
Cebeci T. Modeling and Computation of Boundary Layer Flows.
Modeling and Computation of Boundary Layer Flows,1999
|
被引
1
次
|
|
|
|
|
2.
Lees L. Supersonic separated and reattaching laminar flow.
AIAA J,1964,2(11):1907-1920
|
被引
1
次
|
|
|
|
|
3.
Davis R T. Numerical methods for interacting boundary layers.
Proceedings of the 1976 Heat Transfer and Fluid Mechanics Institute,1976:317-328
|
被引
1
次
|
|
|
|
|
4.
Stewartson K. Self-induced separation.
Proc Roy Soc London. A,1969,312:181-206
|
被引
2
次
|
|
|
|
|
5.
Stewartson K. Multistructured boundary layer and flat plate and related bodies.
Adv In Appl Mech,1974,14:145-239
|
被引
5
次
|
|
|
|
|
6.
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):606-611
|
被引
8
次
|
|
|
|
|
7.
Davis R T. Second-order boundary-layer effects in hypersonic flow past axisymmetric blunt bodies.
J Fluid Mech,1964,20(4):593-623
|
被引
2
次
|
|
|
|
|
8.
Davis R T. Numerical solution of the hypersonic viscous shock-layer equation.
AIAA J,1970,8(5):843-851
|
被引
9
次
|
|
|
|
|
9.
Rudman S. Hypersonic viscous flow over slender bodies with sharp leading edges.
AIAA J,1968,6(10):1883-1889
|
被引
4
次
|
|
|
|
|
10.
Golovachov Y P. Supersonic viscous flow past a blunt-body at high Reynolds numbers.
J Computational Math And Mathematical Phys, (in Russian),1972,12(5):1292-1303
|
被引
1
次
|
|
|
|
|
11.
Tolstykh A I. On the numerical solution of hypersonic viscous blunt-body flows.
J Computational Math And Mathematical Phys (In Russian),1966,6(1):160-170
|
被引
1
次
|
|
|
|
|
12.
Lubard S C. Calculation of the flow on a cone at high angle of attack.
AIAA J,1974,12(7):965-974
|
被引
5
次
|
|
|
|
|
13.
Vigneron Y C. Calculation of supersonic viscous flow over delta wings with sharp subsonic leading edges.
Calculation of supersonic viscous flow over delta wings with sharp subsonic leading edges. AIAA Paper 78-1137,1978
|
被引
1
次
|
|
|
|
|
14.
Baldwin B S. Thin-layer approximation and algebraic model for separated turbulent flows.
AIAA Paper 78-0257,1978
|
被引
1
次
|
|
|
|
|
15.
Pratap V S. Fluid flow and heat transfer in three-dimensional duct flows.
Int J Heat Mass Transfer,1976,19:1183-1188
|
被引
4
次
|
|
|
|
|
16.
Gao Zhi. Hierarchial structure of the simplified Navier-Stokes equations and its mechanical connotation and application.
Science in China. Series A, Mathematics (in English),1989,32(2):168-187
|
被引
2
次
|
|
|
|
|
17.
张涵信. 网格与高精度差分计算问题.
力学学报,1999,31(4):398-405
|
被引
15
次
|
|
|
|
|
18.
Gao Z. Effects of physical and grid scales in difference computing of the Navier-Stokes equations.
Proc. of Inter. Conference on Applied Computational Fluid Dynamics,2000:141-148
|
被引
2
次
|
|
|
|
|
19.
Wang R Q. A time-dependent space-marching algorithm for three-dimensional PNS equations.
Computational Fluid Dynamics,1995:151-162
|
被引
1
次
|
|
|
|
|
20.
Miller J H. PNS algorithm for solving supersonic flows with upstream influences.
AIAA Paper 98-0226,1998
|
被引
1
次
|
|
|
|
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