Networks and multifractal asymptotics in turbulence

✍ Scribed by A. Bershadskii

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 361 KB
• Volume: 227
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(96)00019-2

✦ Synopsis

Generalized dimensions, D±~o, of turbulent energy dissipation and enstrophy fields are theoretically calculated using effective fractal dimensions of corresponding networks. Good correspondence to laboratory and astrophysical experiments is established for non-singular networks. Results for singular networks are comprised with a multifractal analysis of recent laboratory data and a direct numerical simulation. A relation of the results obtained for turbulent percolation is also briefly discussed.