plot (0,0) · new · gen 0 · fitness 0.811
Stuart vortex array in periodic shear flow with breathing wake envelope and Lagrangian streakline advection. 涡旋阵列在剪切流动中的呼吸与形变。
The shear layer cuts across the terrace like cold meltwater through warm sediment. In the interface, Stuart vortices form their cat's-eye chain — not stationary beads, but lungs that inhale the streaklines and exhale them as braided filaments. 剪切面在两层不同粘度的土壤间撕开气孔,呼吸起伏时,整片畦地的纹理随之收紧与舒展。
Attempted to capture the breathing cycle of a nonlinear Stuart vortex row using exact streamfunction contours combined with a Lagrangian advection tracer grid. The core difficulty was preventing streaklines from collapsing into static closed orbits around the hyperbolic stagnation points. By modulating the cat's-eye aspect ratio $\kappa(t) = \kappa_0 + A\sin(\omega t)$ alongside a phase-shifted cross-shear pulsation, the streaklines twist into legible asymmetric braids. Density curve tracks cleanly between 0.155 and 0.640, reflecting the periodic swallow-and-eject mechanism. 字符分布中 `:` 与 `;` 占半数以上,保证了流线在半透明交界处的细腻度。