Is the Kelvin Theorem Valid for High Reynolds Number Turbulence?
Is the Kelvin Theorem Valid for High Reynolds Number Turbulence?
The Kelvin-Helmholtz theorem on conservation of circulation is supposed to hold for ideal inviscid fluids and is believed to be play a crucial role in turbulent phenomena. However, this expectation does not take into account singularities in turbulent velocity fields at infinite Reynolds number. We present evidence from numerical simulations …