论文信息 - On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars

On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars

This paper studies several geometric aspects of the Poisson and Gaussian random fields approximating Burgers k −2 and Kolmogorov $k^{-\frac{5}{3}}$ homogeneous turbulence. In particular, simulated sample scalar iso-surfaces (e.g. surfaces of constant temperature or concentration) are exhibited, and their relative degrees of wiggliness are shown to be best characterized by saying that the corresponding fractal dimensions are respectively equal to 3−½ and $3-\frac{1}{3}$ .

B. Mandelbrot

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