三维非定常/定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟

温功碧; 陈作斌

三维非定常/定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟

温功碧¹,
陈作斌²

1.
北京大学力学与工程科学系,湍流与复杂系统研究国家重点实验室,北京 100871;2.中国空气动力研究和发展中心,四川绵阳 621000

详细信息

作者简介:
温功碧(1935- ),女,四川梁平人,教授(联系人.Tel:86-10-62752334;E-mail:wengb@mech.pku.edu.cn).

中图分类号: R318.01
计量
- 文章访问数: 4145
- HTML全文浏览量: 188
- PDF下载量: 980
- 被引次数: 0
出版历程
- 收稿日期: 2002-06-18
- 修回日期: 2003-07-22
- 刊出日期: 2004-01-15

Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility

WEN Gong-bi¹,
CHEN Zuo-bin²

1.
Department Mechanics and Engineering Science, State Key Laboratoryfor Turbulence and Complicated System Research, Peking University, Beijing 100871, P. R. China;

摘要

摘要: 基于人工压缩性方法提出—中心与迎风混合的算法,以数值模拟N-S方程的定常/非定常解．对半离散方程的左端采用中心差分, 方程右端数值流量采用迎风Roe近似算法,其精度可达三阶．湍流模式利用Baldwin-Lomax代数模式．计算例子包括二维平板、机翼剖面、扁椭球、颅动脉瘤等．计算结果表明，压力和摩擦系数与实验符合，在分离涡旋区计算值与实验有差别,这或许是由于湍流模式不够精确的缘故．
- 不可压缩流N-S方程 /
- 数值模拟 /
- 人工压缩性 /
- 中心和迎风混合算法 /
- 绕扁椭球流动 /
- 非定常/定常流动
Abstract: A central and upwind difference scheme mixed algorithm are presented for soh}ing steady/unsteady three dimensional incompressible Navier-Stokes equations on artifical compressibility.The left side equations were implicit approximate factorizated and used centered difference scheme.The numerical flux on the right side of semi-discretized equations was calculated using the Roe approximate Riemann solver with three order accuracy.The algebraic turbulence model of Badwin-Lomax was used.Two dimensional flat,airfoil,prolate spheroid and cerebral aneurysm were calculated as examples compared with experiment data.The results show that the coefficient of pressure and skin friction computed consistent with experimental data,the largest discrepancy occur in the separation region where Badwin-Lomax algebraic turbulence model could not exactly predict the flow.
- incompressible Navier-Stokes equation /
- numerical simulation /
- artifical compresibility /
- central and upwind difference scheme mixed algorithm /
- flow over a prolate spheroid /
- unsteady/steady flow

HTML全文

参考文献(22)

[1]	Chorin A J. A numerical method for solving incompressible viscous flow problem[J].Journal of Computation Physics,1967,2:12—26. doi: 10.1016/0021-9991(67)90037-X
[2]	Turkle E.Preconditioned methods for solving the incompressible and low-speed compressible equations[J]. Journal of Computation Physics,1987,72(2):277—298. doi: 10.1016/0021-9991(87)90084-2
[3]	Merkle C L,Choi D. Application of time-iterative schemes to incompressible flow[J].AIAA J, 1985,23(10):1518—1524. doi: 10.2514/3.9119
[4]	Chang J L C,Kwak D. On the method of pseudo compressibility for numerically solving incompressible flows[R]. AIAA-84-0252.
[5]	Pan D,Chakravarthy S. Unified formulation for incompressible flows[R]. AIAA-89-0122.
[6]	Rogers S E,Kwak D,Kiri C. Steady and unsteady solution of the incompressible Navier-Stokes equation[J].AIAA J,1991,29(4):603—610. doi: 10.2514/3.10627
[7]	Whitefield D L,Taylor L K. Unsteady three-dimensional incompressible Euler and Navier-Stokes solver for stationary and dynamic grids[R]. AIAA-91-1650.
[8]	Roe P L. Approximate Riemann solvers,parameter vectors, and difference schemes[J].Journal of Computational Physics,1981,43(10):357—372. doi: 10.1016/0021-9991(81)90128-5
[9]	Baldwin B S，Lomax H. Thin-layer approximation and algebraic model for separated turbulent flows[R]. AIAA-78-257.
[10]	Rogers S E,Kwak D,Kaul U. On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations[R]. AIAA-85-1689.
[11]	Taylor L K, Arabshahi A,Whitefield D L. Unsteady three-dimensional incompressible Navier-Stokes computations for a prolate spheroid undergoing time-dependent maneuvers[R]. AIAA-95-0313.
[12]	Taylor L K. Unsteady three-dimensional impressible algorithm based on artificial compressibility[D]Ph D Dissertation.Mississippi State University,1991.
[13]	Pulliam T H,Steger J L.Implicit finite-difference simulations of three-dimensional compressible flow[J].AIAA,1980,18(2):159—167. doi: 10.2514/3.50745
[14]	温功碧.三维定常/非定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟[R]. 中国空气动力研究和发展中心技术报告，2001.
[15]	Choi D，Merkle C L. Application of time-iterative schemes to incompressible flow[J].AIAA,1985,23(10):1518—1524. doi: 10.2514/3.9119
[16]	Wu J C, Wang C M，Tuncer I H.Unsteady aerodynamics of rapidly pitched airfoils[R]. AIAA 86-1105.
[17]	Rosenfeld M, Israeli M ,Wolfshtein M. Numerical study of the skin Friction on a spheroid at incidence[J].AIAA,1988,26(2):129—136. doi: 10.2514/3.9863
[18]	Dallmann U. Topological structures of three dimension vortex flow separation[R]. AIAA 83-1735.
[19]	Hirsch R S,Cebeci T. Calculation of three dimension boundary layers with negative cross flow on bodies of revolution[R]. AIAA 77-683.
[20]	Hoang N T, Wetzel T G, Simpson R L. Surface pressure measurements over a 6∶1 prolate spheroid undergoing time-dependent maneuvers[R]. AIAA 94-1908.
[21]	Sheng C, Taylor L K, Whitefield D L. A multigrid algorithm for three-dimensional incompressible high Reynolds number turbulent flows[J]. AIAA,1995,33(11):2073—2079. doi: 10.2514/3.12949
[22]	Hoang N T， Wetzel T G， Simpson R L. Unsteady measurements over a 6∶1 prolate spheroid undergoing a pitch-up maneuver[R]. AIAA 94-0197.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 4145
HTML全文浏览量: 188
PDF下载量: 980
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

三维非定常/定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟

作者简介:
温功碧(1935- ),女,四川梁平人,教授(联系人.Tel:86-10-62752334;E-mail:wengb@mech.pku.edu.cn).

计量

Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility

计量

目录

留言板

三维非定常/定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟

作者简介: 温功碧(1935- ),女,四川梁平人,教授(联系人.Tel:86-10-62752334;E-mail:wengb@mech.pku.edu.cn).

计量

出版历程

Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility

计量

出版历程

目录

作者简介:
温功碧(1935- ),女,四川梁平人,教授(联系人.Tel:86-10-62752334;E-mail:wengb@mech.pku.edu.cn).