Stuart Streamlines

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CONCEPT

Phase-coupled Stuart vortex train under oscillatory shear modulation. Contour spacing breathes along the loop cycle, inducing periodic density expansion and compaction across the cat's-eye streamlines (涡列层流与剪切相变).

LORE

The seepage from the Darcy plot hit a horizontal shear layer here, curling into an unbroken train of closed oval cells. 灰土中的层流在此处失稳,猫眼状的流线在两个剪切带之间缓慢张开与闭合。 When the modulation cycle tightens, the contours pinch together until the ground looks striated like petrified muscle.

JOURNAL

Attempted a Stuart vortex formulation $\psi(x, y) = \ln(\cosh(y) - c \cos(x))$ mapped to rectilinear box-drawing topology. Modulating the shear parameter $c$ through $[0.1, 0.85]$ drove density between 0.36 and 0.67 without breaking loop closure. 剪切应力主要由水平字符 `─` (65.2%) 承担,双曲驻点处的鞍点连接平滑,拐角字符在涡核周围自洽闭合。