中国物理B ›› 2022, Vol. 31 ›› Issue (4): 44702-044702.doi: 10.1088/1674-1056/ac29ae

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Shedding vortex simulation method based on viscous compensation technology research

Hao Zhou(周昊)1, Lei Wang(汪雷)2, Zhang-Feng Huang(黄章峰)1,†, and Jing-Zhi Ren(任晶志)2   

  1. 1 Department of Mechanics, Tianjin University, Tianjin 300072, China;
    2 Science and Technology on Space Physics Laboratory, China Academy of Launch Vehicle Technology, Beijing 100076, China
  • 收稿日期:2021-07-24 修回日期:2021-09-09 接受日期:2021-09-24 出版日期:2022-03-16 发布日期:2022-03-25
  • 通讯作者: Zhang-Feng Huang E-mail:hzf@tju.edu.cn
  • 基金资助:
    Project supported by the National Key Project, China (Grant No. GJXM92579) and the National Natural Science Foundation of China (Grant No. 12072232).

Shedding vortex simulation method based on viscous compensation technology research

Hao Zhou(周昊)1, Lei Wang(汪雷)2, Zhang-Feng Huang(黄章峰)1,†, and Jing-Zhi Ren(任晶志)2   

  1. 1 Department of Mechanics, Tianjin University, Tianjin 300072, China;
    2 Science and Technology on Space Physics Laboratory, China Academy of Launch Vehicle Technology, Beijing 100076, China
  • Received:2021-07-24 Revised:2021-09-09 Accepted:2021-09-24 Online:2022-03-16 Published:2022-03-25
  • Contact: Zhang-Feng Huang E-mail:hzf@tju.edu.cn
  • Supported by:
    Project supported by the National Key Project, China (Grant No. GJXM92579) and the National Natural Science Foundation of China (Grant No. 12072232).

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摘要： Owing to the influence of the viscosity of the flow field, the strength of the shedding vortex decreases gradually in the process of backward propagation. Large-scale vortexes constantly break up, forming smaller vortexes. In engineering, when numerical simulation of vortex evolution process is carried out, a large grid is needed to be arranged in the area of outflow field far from the boundary layer in order to ensure the calculation efficiency. As a result, small scale vortexes at the far end of the flow field cannot be captured by the sparse grid in this region, resulting in the dissipation or even disappearance of vortexes. In this paper, the effect of grid scale is quantified and compared with the viscous effect through theoretical derivation. The theoretical relationship between the mesh viscosity and the original viscosity of the flow field is established, and the viscosity term in the turbulence model is modified. This method proves to be able to effectively improve the intensity of small-scale shedding vortexes at the far end of the flow field under the condition of sparse grid. The error between the simulation results and the results obtained by using fine mesh is greatly reduced, the calculation time is shortened, and the high-precision and efficient simulation of the flow field is realized.

关键词: shedding vortex, viscosity analysis, numerical dissipation, turbulence models

Abstract: Owing to the influence of the viscosity of the flow field, the strength of the shedding vortex decreases gradually in the process of backward propagation. Large-scale vortexes constantly break up, forming smaller vortexes. In engineering, when numerical simulation of vortex evolution process is carried out, a large grid is needed to be arranged in the area of outflow field far from the boundary layer in order to ensure the calculation efficiency. As a result, small scale vortexes at the far end of the flow field cannot be captured by the sparse grid in this region, resulting in the dissipation or even disappearance of vortexes. In this paper, the effect of grid scale is quantified and compared with the viscous effect through theoretical derivation. The theoretical relationship between the mesh viscosity and the original viscosity of the flow field is established, and the viscosity term in the turbulence model is modified. This method proves to be able to effectively improve the intensity of small-scale shedding vortexes at the far end of the flow field under the condition of sparse grid. The error between the simulation results and the results obtained by using fine mesh is greatly reduced, the calculation time is shortened, and the high-precision and efficient simulation of the flow field is realized.

Key words: shedding vortex, viscosity analysis, numerical dissipation, turbulence models

中图分类号:  (Turbulent flows)

  • 47.27.-i
47.27.E- (Turbulence simulation and modeling) 47.32.ck (Vortex streets) 47.32.C- (Vortex dynamics)