Real Schur flow computations, helicity fastening effects and Bagua-pattern cyclones

TL;DR

This paper introduces a semi-analytical algorithm for simulating flows with real Schur form velocity gradients, exploring helicity fastening effects and creating cyclone patterns resembling planetary clusters.

Contribution

It presents a novel semi-analytical method for flow simulation using real Schur form and investigates helicity fastening and cyclone pattern formation.

Findings

Demonstrates the algorithm's effectiveness for decaying and driven flows.

Identifies the concept of helicity fastening flows.

Creates cyclone patterns similar to planetary clusters.

Abstract

A semi-analytical algorithm is developed for simulating flows with the velocity gradient uniformly of the real Schur form. Computations for both decaying and driven cases are performed, exhibiting basic results for general conception and testing the specific notion of `helicity fastening flows', and, creating the Jiu-Gong/Ba-Gua (ditetragonal/octagonal) pattern of cyclones resembling northern circumpolar cluster of Jupiter.