Velocity-Gradient Probability Distribution Functions in a Lagrangian Model of Turbulence etc15 Tracking Number 130Presentation: Session: Lagrangian aspects of turbulence 1 Room: Room F Session start: 10:30 Wed 26 Aug 2015 Luca Moriconi lmoriconi@gmail.com Affifliation: Instituto de Física, Universidade Federal do Rio de Janeiro, Brazil Rodrigo M. Pereira rodmpereira@gmail.com Affifliation: Laboratoire de Physique, École Normale Supérieure de Lyon, France Leonardo S. Grigorio leogrigorio@gmail.com Affifliation: Centro Federal de Educação Tecnológica Celso Suckow da Fonseca, Nova Friburgo, Brazil Topics: - Intermittency and scaling, - Lagrangian aspects of turbulence Abstract: The Recent Fluid Deformation Closure (RFDC) model of lagrangian turbulence is recast in path-integral language within the framework of the Martin-Siggia-Rose functional formalism. In order to derive analytical expressions for the velocity-gradient probability distribution functions (vgPDFs), we carry out noise renormalization in the low-frequency regime and find approximate extrema for the Martin-Siggia-Rose effective action. We verify, with the help of Monte Carlo simulations, that the vgPDFs so obtained yield a close description of the single-point statistical features implied by the original RFDC stochastic differential equations. |