Geometric Stability of Pseudo-plane Ideal Flows
Fluid Dynamics
2017-01-27 v1
Abstract
Geometric analysis of steady pseudo-plane ideal flow reveals a fundamental relation between vertical coherence and streamline topology. It shows vertical alignment only exists in straightline jet and circular vortex. A geometric stability theory is then developed as a structural stability in contrast to traditional dynamical stability, suggesting all vertical-aligned pseudo-plane flows are geometrically stable and all non-aligned non-straightline flows are unstable. It provides a topological explanation for the tendency of axisymmetrization and vertical alignment observed in vortex experiments.
Cite
@article{arxiv.1701.07499,
title = {Geometric Stability of Pseudo-plane Ideal Flows},
author = {Che Sun},
journal= {arXiv preprint arXiv:1701.07499},
year = {2017}
}
Comments
25 papges, 3 figures, 2 tables, under consideration at Physical Review Fluids