2007/10/26 by Jaan Kalda, Kalda, Jaan, Aleksandr Morozenko +1
Earth and Planetary Sciences · Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #physics.ao-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.0710.5003
4 pages
arxiv created 2007/10/26 · openalex publication_date 2007/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Mixing in fully developed incompressible turbulent flows is known to lead to a cascade of discontinuity fronts of passive scalar fields. A one-dimensional (1D) variant of Baker's map is developed, capturing the main mechanism responsible for the emergence of these discontinuities. For this 1D model, expressions for the height-distribution function of the discontinuity fronts and structure function scaling exponents ζp are derived [for Kolmogorov turbulence, ζp=\frac 23log3(p+1)]. These analytic findings are in a good agreement with both our 1D simulations, and the results of earlier numerical and experimental studies.