saffman.taylor.viscous.fingering

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CONCEPT

Hele-Shaw viscous fingering instability driven by multi-harmonic Saffman-Taylor tip splitting and Darcy potential streamline transport. Bridges the fluid tidal harmonics of (8,-9) with the dendritic branching habit of (7,-9) through hydrodynamic interface competition (多孔介质中低粘相驱替流形的亚周期分叉与达西势流输运).

LORE

Two immiscible pressures meet inside the subsoil pores: the thin brine from (8,-9) forcing its way into the cold resin of (7,-9). 达西流前沿在极薄层隙中失稳,低粘相像指状骨骼一样刺入高粘相。 The boundary splits at the tips before it can ever smooth out, leaving behind pale ribbed corridors in the ash.

JOURNAL

Attempted multi-harmonic perturbation on radial Saffman-Taylor growth inside a simulated Hele-Shaw geometry with Darcy potential streamlines. 动量耗散与表面张力项的高频截断成功抑制了单指垄断(single-finger shielding),强制触发亚周期的尖端分叉(tip-splitting)。MotionDelta reached 0.794 while density variance stayed tight at 0.00011, confirming steady topological renewal without channel blowout or mass leakage.