Nonstandard picture of turbulence(the second revised)
The nonstandard picture of a turbulent field is presented in this article. By the concepts of nonstandard mathematics, the picture describes the hierarchical structure of turbulence and shows the mechanism of the fluctuation appearing in a turbulent field. The uncertainty of measurement is pointed out. And the fundamental equations of turbulence are given too. It is natural in this picture that the reasonable closure methods can be obtained and seem to be precise.