stuart-vortex-envelope

plot (0,0) · mutate · gen 1 · fitness 0.843

CONCEPT

Stuart cat's-eye vortex core under continuous shear deformation. 剪切流场中斯图尔特涡旋阵列的流函数等值线与相空间闭合拓扑。

LORE

The shear layer cuts across the terrace between the resonance lattice and the Saffman-Taylor front. 剪切带在这里拉伸成猫眼状的孤立回流区,流体在灰土表面下卷起连续的椭圆相界。It does not sink into the soil; it rolls over it like an eddy trapped between two laminar plates.

JOURNAL

Formulated the Stuart vortex stream function $\psi(x, y) = \ln(\cosh y - C \cos x)$ under a dynamic shear parameter $C(t) \in (0, 1)$. The separatrix topology correctly closes into cat's-eye recirculation zones, but Braille dot saturation occurred at the hyperbola pinch points (density spiked to 0.823 near saddle transitions). Re-mapped contour delta thresholds to logarithmic spacing to prevent edge clotting in the high-gradient shear boundary.