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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (10): 901-910.

• 论文 •    下一篇

A NEW TURBULENCE MODEL WITH THE SEPARATE CONSIDESATION OF LARGE AND SMALL VORTEXES

蔡树棠1, 麻柏坤2   

  1. 1. Dept. of Modern Mech., University of Science and Technology of China, Hefei; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
    2. Dept. of Modern Mech., University of Science and Technology of China, Hefei
  • 收稿日期:1986-08-16 出版日期:1987-10-18 发布日期:1987-10-18

A NEW TURBULENCE MODEL WITH THE SEPARATE CONSIDESATION OF LARGE AND SMALL VORTEXES

Tsai Shu-tang1, Ma Bai-kun2   

  1. 1. Dept. of Modern Mech., University of Science and Technology of China, Hefei; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
    2. Dept. of Modern Mech., University of Science and Technology of China, Hefei
  • Received:1986-08-16 Online:1987-10-18 Published:1987-10-18

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摘要： Recently the k-ε model has been widely used, but it is a kind of gradient model. Because the life-time of turbulence vortexes is very long, in common flow problems the influence of up-stream vortexes must be important, and the vortexes are not in quasi-equilibrium. So the usefulness of the k-e model and other gradient models is limited. In this paper, according to actual cases of the turbulence, the velocity fluctuations are separated into large and small vortexes, and the large vortexes consist of two parts, one comes from up-stream end around, the other is locally generated. Thus we get a turbulence model, which consists of three parts.

关键词: structural dynamics, homotopy method, inverse problem

Abstract: Recently the k-ε model has been widely used, but it is a kind of gradient model. Because the life-time of turbulence vortexes is very long, in common flow problems the influence of up-stream vortexes must be important, and the vortexes are not in quasi-equilibrium. So the usefulness of the k-e model and other gradient models is limited. In this paper, according to actual cases of the turbulence, the velocity fluctuations are separated into large and small vortexes, and the large vortexes consist of two parts, one comes from up-stream end around, the other is locally generated. Thus we get a turbulence model, which consists of three parts.

Key words: structural dynamics, homotopy method, inverse problem

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