Lagrangian Frozen-in Hypothesis for Vortex Stretching

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概要

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• A nonlinear ordinary differential equation for peak vorticity is proposed phenomenologically for 3D inviscid flows. This typically predicts that the peak vorticity behaves approximately as √<A>[sin {r√<A>(t_*-t)}]^<-1> and the peak strain as √<A>[tan {r√<A>(t_*-t)}]^<-1>, where r, A and t_* are constants. Numerical study of 3D Euler equations performed both in physical and Langrangian marker spaces is, at early stages consistent with assumptions underlying the above predictions, giving an alternative interpretation of apparently exponential growth of vorticity. It is not known if this evolution persists, leading to a finite-time singularity.

• 社団法人日本物理学会の論文
• 1993-02-15

著者

• Ohkitani Koji

  Research Institute For Mathematical Sciences Kyoto University

関連論文

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• Physical-Space Nonlocality in Decaying Isotropic Turbulence
• On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
• A Class of Simple Blow-Up Solutions with Uniform Vorticity to Three-Dimensional Euler Epuations
• An Identification of Energy Cascade in Turbulence by Orthonormal Wavelet Analysis : General and Mathematical Physics
• Lagrangian Frozen-in Hypothesis for Vortex Stretching
• A Survey on a Class of Exact Solutions of the Navier-Stokes Equations and a Model for Turbulence
• Do Singular Structures Move with an Inviscid Fluid?
• Note on "A Class of Simple Blow-Up Solutions with Uniform Vorticity to Three-Dimensional Euler Equations."

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