Insights from a pseudospectral study of a potentially singular solution of the three-dimensional axisymmetric incompressible Euler equation.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 35854550.
- Also identified by DOI 10.1103/PhysRevE.105.065107.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We develop a Fourier-Chebyshev pseudospectral direct numerical simulation (DNS) to examine a potentially singular solution of the radially bounded, three-dimensional (3D), axisymmetric Euler equations [G. Luo and T.Y. Hou, Proc. Natl. Acad. Sci. USA 111, 12968 (2014)0027-842410.1073/pnas.1405238111]. We demonstrate that (a) the time of singularity is preceded, in any spectrally truncated DNS, by the formation of oscillatory structures called tygers, first investigated in the one-dimensional (1D) Burgers and two-dimensional (2D) Euler equations; (b) the analyticity-strip method can be generalized to obtain an estimate for the (potential) singularity time.