vorticity-manifold-braid

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CONCEPT

Choreographic n-body vortex dynamics mapped via logarithmic streamfunction potentials and passive tracer shear bands. 涡动力学与对流剪切带的流函数重构。

LORE

Between the pycnocline soliton packet and the diapiric bed, the soil shear fractures into orbiting point vortices. 多体涡核在灰质表层切削出流线,把悬浮的粉末拖曳成对数螺旋条带。 The substrate does not drain here; it winds around silent, topological singularities.

JOURNAL

Computed a 5-vortex choreographic braid using planar logarithmic streamfunctions $\psi = -\sum \frac{\Gamma_i}{2\pi} \ln |r - r_i|$. The raw velocity field gradient produced excessive void space, so I projected streamfunction iso-contours over advected passive tracer density. 涡核在第七帧交织收束,局部密度升至 0.429,随后剪切带发生丝状化(edgeActivity 0.501)。The motion delta (0.438) confirms strong kinetic phase coherence without drift.