求解非定常方柱绕流的可变周期时间谱方法

张炜; 席光

您当前的位置：

首页 >

文章列表页 >

求解非定常方柱绕流的可变周期时间谱方法

更新时间：2025-07-09

- 求解非定常方柱绕流的可变周期时间谱方法
- Application of Variable Period Time Spectral Method to Unsteady Flow Around Rectangular Cylinder
- 西安交通大学学报 2009年43卷第5期页码：114-118
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2008-08-23. 作者简介: 张炜(1983-),男,博士生;席光(联系人),男,教授,博士生导师. 基金项目: 国家自然科学基金资助项目(50725621)
- DOI：
  中图分类号： O357.1
- 网络首发：2009-05-10，
  
  纸质出版：2009
- 稿件说明：
移动端阅览
张炜, 席光. 求解非定常方柱绕流的可变周期时间谱方法[J]. 西安交通大学学报, 2009,43(5):114-118.

Application of Variable Period Time Spectral Method to Unsteady Flow Around Rectangular Cylinder[J]. 2009, 43(5): 114-118.
张炜, 席光. 求解非定常方柱绕流的可变周期时间谱方法[J]. 西安交通大学学报, 2009,43(5):114-118. DOI：

Application of Variable Period Time Spectral Method to Unsteady Flow Around Rectangular Cylinder[J]. 2009, 43(5): 114-118. DOI：

摘要

针对周期性非定常流动特点

采用时间谱方法求解了无限大区域内低雷诺数下二维不可压缩层流绕方柱流动问题.由于方柱绕流的非定常运动周期事先未知

在计算过程中加入了基于残差梯度的可变周期计算方法

使变量和周期可以同时迭代计算.研究了时间谱方法的计算精度和求解速度

分析了不同求解参数对最终结果的影响.计算结果表明

时间谱方法可以准确地模拟方柱后漩涡的非定常运动现象

而计算所需时间只是传统的基于有限差分的双时间推进方法的10%～25%

流体非定常运动的Strouhal数和方柱的阻力特性证实了这种方法的正确性.可变周期计算方法对求解参数的变化不敏感

可以准确地预测运动周期.

Abstract

Based on the characteristic of time periodic unsteady flow

the time spectral method was applied to two-dimensional incompressible laminar flow around a rectangular cylinder in infinite medium at low Reynolds numbers. A variable time period method based on residual gradients was combined to iterate the variables and time period simultaneously because of the unknown time period of flow around the cylinder. The accuracy and convergence rate of the time spectral method were investigated and the influence of different parameters on the final results was analyzed. The results show that the present method could simulate the vortex shedding phenomenon accurately and the time cost could decrease to 10%-25% of that of the conventional dual time stepping method based on the finite difference scheme. The Strouhal number and drag characteristics confirm the feasibility of the present method. Our results indicate that the variable time period method is insensitive to parameter selection and can predict the time period accurately.

关键词

Keywords

references

JAMESON A. Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings [C/OL]. Proceedings of AIAA 10th Computational Fluid Dynamics Conference. [2008-07-20]. http:∥aero-comlab.stanford.edu/jameson/publication_list.html.

GOPINATH A K, JAMESON A. Time spectral method for periodic unsteady computations over two-and three-dimensional bodies [C/OL]. 43rd AIAA Aerospace Science Meeting and Exhibit. [2008-07-20]. http:∥aero-comlab.stanford.edu/jameson/publication_list.html.

GOPINATH A K, JAMESON A. Application of the time spectral method to periodic unsteady vortex shedding [C/OL]. 44th AIAA Aerospace Sciences Meeting and Exhibit. [2008-07-20]. http:∥aero-comlab.stanford.edu/jameson/publication_list.html.

HESTHAVEN J S, GOTTLIEB S, GOTTLIEB D. Spectral methods for time-dependent problems[M]. Cambridge, UK: Cambridge University Press, 2007: 48-52.

CHORIN A J. A numerical method for solving incompressible viscous flow problems[J]. Journal of Computational Physics, 1967, 2(1):12-26.

SOHANKAR A, NORBERG C, DAVIDSON L. Numerical simulation of unsteady low-Reynolds number flow around rectangular cylinders at incidences[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1997, 69/71:189-201.

SOHANKA A, NORBERG C, DAVIDSON L. Numerical simulation of unsteady flow around a square two-dimensional cylinder[C/OL]. Proceedings of the 12th Australian Fluid Mechanics Conference. [2008-07-20]. http:∥www.tfd.chalmers.se/～lada/projects/ahmad/proright.html.

OKAJIMA A. Strouhal numbers of rectangular cylinders[J]. Journal of Fluid Mechanics, 1982, 123(10): 379-398.

OKAJIMA A. Numerical analysis of the flow around an oscillating cylinder[C]∥Bearman P W. Proceedings of 6th International Conference of Flow-Induced Vibration. Rotterdam, Holland: Balkema, 1995: 1-7.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

三塔合一间接空冷系统结构参数对夏季运行特性的影响研究

扇贝仿生密封腔室内超临界二氧化碳泄漏流湍动能耗散机理研究

采用机器学习的大规模并行程序I/O性能建模与预测方法

冷库水平空气幕热湿阻隔性能数值模拟研究

电子级超纯氮深冷空分流程节能优化研究