Mathematical Physics

    

Real Schur Flows

Authors: Jian-Zhou Zhu

The problem of a flow with its velocity gradient being of \textit{real Schur form} uniformly in a cyclic box is formulated for numerical simulation, and a semi-analytic algorithm is developed from the precise structures. Computations starting from two-component-two-dimensional-coupled-with-one-component-three-dimensional initial velocity fields of the Taylor-Green and Arnold-Beltrami-Childress fashions are carried out, and some discussions related to turbulence are offered for the multi-scale eddies which, though, present precise order and symmetry. Plenty of color pictures of patterns of these completely new flows are presented for general and specific conceptions.

Comments: 37 Pages.

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Submission history

[v1] 2021-07-04 22:51:07

Unique-IP document downloads: 257 times

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