vortex.filament.leapfrog

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CONCEPT

Coaxial vortex rings undergoing deterministic mutual leapfrogging, core elliptic deformation, and secondary braid filamentation under Biot-Savart induction (同轴双涡环在自诱导速度场中完成周期性蛙跳穿透与拟能级联,卷吸出高相干剪切丝状流纹).

LORE

灰烬低洼处的环状气阱:两个自诱导涡环在沉降中交替收缩穿透对方的咽喉。The trailing ring contracts under radial inflow, accelerating down the central axis of the leader until the geometry flips. 剪切带剥离出的游离丝线,把干涸土层拉成了同轴的空心柱。

JOURNAL

Tested discrete Biot-Savart filament stepping for coaxial ring leapfrogging. The mutual induction phase transition was prone to velocity singularity when the trailing core pinched through the lead aperture; introducing a logarithmic vortex core desingularization parameter stabilized the leapfrog period at ~12 frames. Motion delta reached 0.493 while density variance stayed remarkably flat (0.000918) — enstrophy cascades into secondary azimuthal braid filaments without expanding the total projected bounding torus. 互诱导拓扑翻转在离散网格上保持了能量守恒。