Year: 2005
Type: article
Abstract: Using a very high precision spectral calculation applied to the incompressible and inviscid flow with initial condition ψ 0 ( x 1 , x 2 ) = cos x 1 +cos 2 x 2 , we find that the width δ( t ) of its analyticity strip follows a ln(1/ t ) law at short times over eight decades. The asymptotic equation governing the structure of spatial complex-space singularities at short times [Frisch, U., Matsumoto, T., Bec, J., 2003. J. Stat. Phys. 113 , 761–781] is solved by a high-precision expansion method. Strong numerical evidence is obtained that singularities have infinite vorticity and lie on a complex manifold which is constructed explicitly as an envelope of analyticity disks.
Source: Fluid Dynamics Research
Authors: T Matsumoto, J Bec, U Frisch
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2081426352