Extraction of invariant manifolds and application to turbulence with a passive scalar
arXiv:2105.11566 · doi:10.1103/PhysRevE.103.063107
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.
arXiv comment6 pages, 3 figures
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