On the interplay between the BKM theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem

Details On the interplay between the BKM theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem On the interplay between the BKM theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem

2011-12-07

arxiv.org/abs/1112.1571v1

Physics

Fluid Dynamics

Scientific paper

Numerical simulations of the incompressible Euler equations are performed using the Taylor-Green vortex initial conditions and resolutions up to $4096^3$. The results are analyzed in terms of the classical analyticity strip method and Beale, Kato and Majda (BKM) theorem. A well-resolved acceleration of the time-decay of the width of the analyticity strip $\delta(t)$ is observed at the highest-resolution for $3.7

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