Abstract
On the basis of the fact that physical world possesses hierarchical structure and the concepts of nonstandard mathematics, a new description of turbulence was presented. Fundamental equations of turbulent flows were also given. It is natural in this nonstandard picture of turbulence that the closure methods are obtained and seem to be precise.
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References
Robinson A. Nonstandard Analysis[M]. ed. 2th, North-Holland, Amsterdam, 1974.
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Wu, F. A new approach to the theory of turbulence. J. of Shanghai Univ. 9, 189–193 (2005). https://doi.org/10.1007/s11741-005-0075-1
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DOI: https://doi.org/10.1007/s11741-005-0075-1
Key words
- hierarchical structure of turbulent field
- monad field
- point-average
- uncertainty of measurement in turbulence