Extraction of invariant manifolds and application to turbulence with a passive scalar

Abstract

The reduction of dimensionality of physical systems, specially in fluid dynamics, leads in many situations to nonlinear ordinary differential equations which have global invariant manifolds with algebraic expressions containing relevant physical information of the original system. We present a method to identify such manifolds, and we apply it to a reduced model for the Lagrangian evolution of field gradients in homogeneous and isotropic turbulence with a passive scalar.

6 pages, 3 figures

References in corpus (4)

• Lagrangian dynamics and statistical geometric structure of turbulence
• Modeling the pressure Hessian and viscous Laplacian in Turbulence: comparisons with DNS and implications on velocity gradient dynamics
• Small-scale isotropy and ramp-cliff structures in scalar turbulence
• Gauge symmetry and dimensionality reduction of the anisotropic pressure Hessian