2002/07/03 by Bernard Legras, Legras, Bernard, B. Villone +1
Engineering · Environmental Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Combustion and flame dynamics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #Quantum chaos and dynamical systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.nlin/0207009
openalex publication_date 2002/07/03 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We discuss the stabilisation of the inverse cascade in the large scale\ninstability of the Kolmogorov flow described by the complete Cahn-Hilliard\nequation with inclusion of \β effect, large-scale friction and deformation\nradius. The friction and the \βvalues halting the inverse cascade at the\nvarious possible intermediate states are calculated by means of singular\nperturbation techniques and compared to the values resulting from numerical\nsimulation of the complete Cahn-Hilliard equation. The excellent agreement\nvalidates the theory. Our main result is that the critical values of friction\nor \β halting the inverse cascade scale exponentially as a function of the\njet separation in the final flow, contrary to previous theories and\nphenomenological approach.\n