Group Theoretical Model of Developed Turbulence and Renormalization of the Navier Stokes Equation
A theoretical model for understanding developed turbulence and the Navier Stokes equation, using group theory and renormalization techniques.
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About Group Theoretical Model of Developed Turbulence and Renormalization of the Navier Stokes Equation
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1. Group-theoretical model of developed turbulence and renormalization of the Navier-Stokes equation V. L. Saveliev 1 and M. A. Gorokhovski 2 1. Institute of Ionosphere, Almaty 480020, Kazakhstan 2. Laboratoire de Mcanique des Fluides et AcoustiqueEcole Centrale de Lyon, France PHYSICAL REVIEV E 72, 016302 (2005)
2. Introduction
3. II. Renormalized averaging formula for < vu >
4. Operator for averaging the field product
5. Simplest formula for averaging
6. Example of averaging
7. Deviatoric part of stress tensor
8. Important remark
9. III. Group-theoretical model of developed turbulence
10. Symmetry parameters
11. Self-similar solutions
12. Decomposition of turbulent field
13. Invariance of turbulent state
14. Renormalization-group invariance
15. IV. Renormalization of the averaged Navier-Stokes equation Averaging over small scale
16. Inner threshold of turbulence
17. Equation for averaged turbulent fields
18. Remarks about viscosity
19. V. Conclusion
20. References
